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Page not found (404)

+
-
+ + - - diff --git a/docs/articles/flapper_algorithms_faqs.html b/docs/articles/flapper_algorithms_faqs.html new file mode 100644 index 0000000..cdaaec8 --- /dev/null +++ b/docs/articles/flapper_algorithms_faqs.html @@ -0,0 +1,462 @@ + + + + + + + +`flapper`: practitioner FAQs • flapper + + + + + + + + + + + + +
+
+ + + + +
+
+
+

+flapper: practitioner FAQs

+ + + Source: vignettes/flapper_algorithms_faqs.Rmd + + +
+ + + +
+

Introduction +

+

This vignette addresses frequently asked questions (FAQs) for +practitioners seeking to apply the flapper algorithms. For +further details, consult Lavender et al. (in review). To submit +a new question, go to https://github.com/edwardlavender/flapper/issues.

+
+
+

Abbreviations +

+
    +
  • +AC—acoustic-container (see ac())
    • +
  • +ACPF—coustic-container particle filtering (see +ac() and pf())
    • +
  • +ACDC—acoustic-container depth-contour (see +acdc())
    • +
  • +ACDCPF—acoustic-container depth-contour particle +filtering (see acdc() and pf())
    • +
  • +PF— particle filtering (see pf())
    • +
+
+
+

Algorithm implementation +

+
+

Can the algorithm efficiently incorporate receiver-specific +detection ranges? Or detection ranges that vary as a function of depth +or substrate? +

+

There is no theoretical obstacle to the incorporation of +receiver-specific detection ranges or detection probability models that +vary by receiver (or other environmental variables). In flapper, +receiver-specific detection containers are passed as objects to the +relevant algorithm function (i.e., ac(), +acdc()). At the time of writing, the helper function used +to create detection containers (acs_setup_containers()) +assumes the detection range is constant across receivers, but custom +detection containers could be created and passed to the algorithm +similarly. The same goes for detection probability kernels. Since these +objects are created in advance, custom inputs are efficiently +incorporated. However, for larger and/or more complex +containers/kernels, calculations may take longer.

+
+
+

How are simultaneous detections of the same transmission on +different receivers handled? +

+

Assuming that the clocks of receivers are aligned, a simultaneous +detection of an individual at multiple receivers implies that the +individual must have been located within the intersection of those +receivers’ detection containers (at that moment in time), accounting for +the set of possible previous and future locations. Within this region, +the probability that the individual was in any given location depends on +the detection probability model.

+
+
+

How much time must pass without detection before a tag could be +anywhere in the study area? +

+

This depends on the algorithm, the size and shape of study area, the +arrangement of receivers, the detection range and the movement capacity +of the tagged animal. These factors affect both how quickly an animal +can move away from an area and where it can go (i.e., the definition of +‘anywhere’). Take a circular study area of radius 1000 m with a single +receiver at the centre where an individual is both located and detected. +If we take a maximum swimming speed of 1 ms-1 and assume this can be +maintained indefinitely then, by time \((s)=distance (m)/speed (ms^{-1})\), the +individual could be located anywhere in the area after a detection gap +of 1000 s (about 17 minutes). This calculation provides an indication of +the duration between detections beyond which the set of possible +locations for the individual (and our uncertainty in its location) is +greatest and is effectively encapsulated by the AC/ACDC algorithm +(assuming a ‘negligibly small’ detection container). Allowing for +locational uncertainty within a detection container, then the time by +which the individual could reach the boundaries of the study area could +be smaller (because the starting position could be further away from the +receiver), though the area in which the individual could be located +following the detection is also reduced by the detection container (and +the shape of the detection probability kernel within that region). If +you refine the AC-branch outputs using the ACPF or ACDCPF algorithm, the +set of possible locations of the individual may expand less rapidly in +the gaps between detections, depending on the probability of different +rates of movement (as defined by the movement model), the presence of +additional constraints (such as the locations of receivers that did not +record detections, the depth at each time step or movement barriers) and +the stochastic sampling process. At the time of writing, we recommend +researchers consider the duration of detection gaps in relation to these +criteria and avoid implementing the algorithms over ‘long’ detection +gaps when information on the location of an individual is limited. +Ultimately, however, the definition of ‘long’ depends not only on the +aforementioned criteria but also a study’s objectives. For example, in +this study, we deliberately implement the algorithms over the complete +detection time series for a one-month period for an example individual +to test the hypothesis that the individual could have remained in the +study area (a Marine Protected Area) over this time interval. For +post-hoc evaluation of the influence of each time step on algorithm +outputs, you can examine the shape of the probability distribution of +the set of possible locations in which the individual could have been +located through time.

+
+
+

The different flapper algorithms suggest different patterns of space +use. How do I choose which algorithm to use? +

+

The choice of algorithm depends on data availability and study +objectives. For reconstructing patterns of space use, the different +algorithms suggest different patterns because they incorporate different +information. Let’s use Fig. 3 in Lavender et al. (in review) to +illustrate this point and clarify algorithm choice. Recall that Fig. 3A +shows a map reconstructed from the depth time series; Fig. 3B–C show +maps reconstructed from acoustic detections; and Fig. 3D shows a map +based on both datasets. If you only have depth time series, or you are +interested in the extent to which a region (such as a Marine Protected +Area) represents the depths used by an individual, the DC algorithm +(Fig. 3A), is the appropriate choice. If you only have detection data at +receivers, you have the choice of a number of existing methods, such as +the mean-position algorithm (Fig. 3B), or our ACPF algorithm (Fig. 3C). +As noted in Lavender et al., (in review), the relative utility +of these methods may vary in different settings but in clustered +receiver arrays the mean-position algorithm may perform poorly (Fig. 3B) +and the ACPF algorithm (Fig. 3C) is the clear choice here. If you have +both depth and detection time series, the ACDCPF algorithm is a +refinement. Thus, for flapper skate, the ACDCPF algorithm is the best +choice when it comes to reconstructing patterns of space use and Fig. 3D +is the most-refined map of space use for the analysed individual. In +summary, the best algorithm for reconstructing patterns of space use +depends on the data you have available: if you only have depth time +series, use the DC algorithm; if you only have acoustic time series, use +the ACPF algorithm; if you have both depth and acoustic data, then use +the ACDCPF algorithm, which can integrate both types of data.

+
+
+
+

Algorithm interpretation +

+
+

What do the movement paths look like between receivers? Are they +simply straight lines or least-cost paths? +

+

Recall that in the PF-branch algorithm, a large number of particles +are sampled at each time step. Consequently, if the gaps between +detections span a large number of time steps, a large number of possible +paths may be reconstructed between receivers that are consistent with +the data (based on the connections between sequentially sampled +particles). This is one of the key innovations of our method because it +provides ‘a fuller exploration of possible movements than permitted +under the assumption that individuals follow least-cost paths between +detection containers’. The set of possible paths depends on the +information that is available to constrain the location of the animal in +the gaps between detections (i.e., the detection probability model and +receiver positions, the movement model and additional constraints, such +as depth observations and coastline). If there are few constraints on +individual locations and the gaps between detections span multiple time +steps, then different paths will ‘wander’ across the landscape, +generating a relatively smooth surface that reflects our uncertainty in +the possible location of the individual through time. If there are more +constraints, the set of possible paths may be more tightly focussed and +highlight several more-or-less likely ‘routes’ between receivers. Direct +linear or least-cost transitions between detection containers are only +likely to emerge if the time between detections is short (relative to +the movement capacity), such that the individual could (or must have) +moved directly from one to another during the detection gap.

+
+
+
+

Sensitivity +

+
+

How sensitive are the algorithms to the mobility parameter? +

+

The mobility parameter controls how far an individual can move in any +given time step. Intuitively, underestimation of mobility will lead to +overly concentrated patterns of space use, while overestimation of +mobility will lead to overly diffuse patterns of space use. However, +these two outcomes are not necessarily equally plausible. Algorithm +sensitivity also depends on additional constraints, such as array +design.

+

First, note that it can be quite hard to underestimate the mobility +parameter. If you, for example, half mobility, the PF algorithm is +unlikely to converge: during the simulation of individual movements, you +are likely to reach a time step in which the set of locations in which +the individual could be located at a subsequent time step (given +previously sampled locations) does not overlap with the set of locations +within which the individual must have been located (given the data), +because mobility is too restricted (assuming you sample a sufficient +number of particles). This situation is more likely to arise in studies +in which constraints on an individual’s location through time (e.g., +detections or ancillary time series) successfully restrict the number of +possible routes between sequential locations. If you attempt to repeat +the case-study analyses in Lavender et al. (in review) (e.g., +analysis A2) with a reduced mobility, you will run into exactly this +issue. This provides good evidence that the mobility parameter is +appropriate for the analysed data in this study.

+

While it can be difficult to underestimate mobility, it is possible +to overestimate it. The effects of doing so will be most apparent in the +AC-branch algorithms and depend on constraints (such as array design). +In a sparse array that records few detections, there is little +information to constrain movement and an overestimated mobility +parameter will produce more diffuse patterns of space use. However, the +coupling of AC- and PF- branch algorithms can limit the influence of an +overestimated mobility parameter because the latter incorporates a +movement model in which longer-range movements, while permitted, can be +made less likely. This is what the movement model for flapper skate does +in Lavender et al. (in review).

+

Finally, it is important to note that these considerations are not +unique to our methods. The flapper algorithms simply make the influence +of movement constraints explicit, but the interpretation of passive +acoustic telemetry data in general (and particularly of patterns such as +residency) depends on knowledge of movement constraints. This has point +been emphasised by recent publications (Lavender et al., +2021).

+

For practitioners seeking to apply our methods in new settings, we +make the following recommendations:

+
    +
  • +Study design phase. If you are designing a study, +plan to collect some information on individual movement speeds if +possible.
    • +
  • +Data analysis phase. If you already have +information on movement speeds, use it to inform the definition of the +movement constraints. Otherwise, examine the literature and use the +get_mvt_mobility_*() functions as a guide.
    • +
  • +Sensitivity analysis phase. If movement constraints +are uncertain, use simulation to explore the consequences of different +choices for mobility and the movement model within reasonable bounds for +your study system. While time consuming, you can also explore +implementations of the algorithms using lower-bound estimates of +mobility to test whether or not the algorithms fail to converge. +Increase the movement capacity until convergence.
    • +
+
+
+
+

Algorithm optimisation +

+
+

Under what set of tag/receiver/site conditions are the algorithms +robust? +

+

The algorithms are always ‘robust’ in the sense that the +reconstructed set of possible locations of an individual is a complete, +mechanistic description of all inputted information about the location +of the animal through time (i.e., all detections, all gaps between +detections and all ancillary data, given the detection probability +model, the movement model and other parameters). Consequently, unless +the algorithm is misspecified (see below), the set of possible locations +will include the ‘true’ movement path, even in sparse arrays with few +detections. However, care is required in the interpretation of the ‘set +of possible locations of an individual through time’: while this, by +definition, will include the ‘true’ movement path, it is not guaranteed +(nor even desirable) that the pattern of space use exhibited by the set +of possible locations should match the pattern of space use exhibited by +the ‘true’ path.

+

While a correctly specified algorithm will reconstruct a set of +possible locations that includes the ‘true’ path (assuming you sample a +sufficiently large number of particles in the PF step), the algorithms +are sensitive to misspecification like any other method. However, the +consequences of mis specifying algorithm components, such as the +detection range, detection kernels or movement parameters, vary. See +‘Sensitivity’ for further commentary.

+

The ‘usefulness’ of the algorithms in different settings is a +separate issue. If tags malfunction, receivers are sparse and or +detection probability is limited, the flapper algorithms, like other +methods, are of limited utility: the set of possible locations will +simply span the ‘permitted’ area (mainly beyond receiver detection +containers) with more-or-less uniform probability. The quality of the +inputs unavoidably influences the utility of the outputs.

+

These comments notwithstanding, as for other emerging movement +modelling approaches in passive acoustic telemetry systems, more needs +to be learnt about the utility of the flapper algorithms in different +settings. As argued in the main text, an improved understanding of the +relative utility of different methods in different settings will help to +move the field forwards.

+
+
+

How does transmission interval affect the algorithm? +

+

The resolution of available data affects the temporal resolution of +the analysis. The transmission interval of acoustic tags sets a sensible +lower bound for this. In theory, a more frequent transmission interval +makes it possible to resolve movement paths at a higher temporal +resolution. However, in practice, the appropriate resolution of an +analysis will depend upon whether or not more frequent transmissions are +accompanied by more frequent detections, the resolution of other +datasets (such as depth time series), analytical objectives and +computational constraints. As for other methods, the optimisation of +study design and algorithm parameters for improved inference is an +avenue in which future research will be beneficial.

+
+
+
+

Algorithm validation +

+
+

How can I assess the utility of the different algorithms without +continuous, fine-scale positioning records (i.e., a ‘known’ track?) +

+

Recall that the flapper algorithms are designed to recapitulate the +movement and detection processes that give rise to detections. This +means that, by definition, reconstructed patterns of space use will +contain the ‘true’ movement path (assuming they have been correctly +specified: see ‘Sensitivity’). As in Lavender et al. (in +review), you can explore the correspondence between a ‘known’ and +reconstructed movements under different conditions using simulation. In +real-world settings, fine-scale positioning records collected during +drift tests of detection probability can also be used for this purpose. +The probability distribution of the set of possible locations through +time provides a measure of our certainty in the location of an +individual: a flat surface emerges when there are few constraints on an +individual’s possible location and reflects low certainty; a more +concentrated surface emerges when the set of possible locations for an +individual is more constrained and reflects higher certainty. However, +even for more concentrated distributions, it is not guaranteed (nor even +desirable) that the pattern of space use exhibited by the simulated +locations will match the pattern of space use exhibited by the ‘true’ +path (see ‘Optimisation’).

+
+
+
+

References +

+

Lavender, E. et al. (in review). A semi-stochastic modelling +framework for passive acoustic telemetry.

+

Lavender, E. et al. (2021). Movement patterns of a +Critically Endangered elasmobranch (Dipturus intermedius) in a +Marine Protected Area. Aquatic Conservation: Marine and Freshwater +Ecosystems, 32(2), 348–365. https://doi.org/10.1002/aqc.3753

+
+
+ + + +
+ + + + +
+ + + + + + + + diff --git a/docs/articles/flapper_overview.html b/docs/articles/flapper_overview.html new file mode 100644 index 0000000..e3aeba2 --- /dev/null +++ b/docs/articles/flapper_overview.html @@ -0,0 +1,143 @@ + + + + + + + +`flapper`: an overview • flapper + + + + + + + + + + + + +
+
+ + + + +
+
+
+

+flapper: an overview

+ + + Source: vignettes/flapper_overview.Rmd + + +
+ + + +
+

Introduction +

+

An introductory vignette will be added to the package in due +course.

+
+
+

Set up +

+
+library(flapper)
+#> 
+#> Attaching package: 'flapper'
+#> The following object is masked from 'package:stats':
+#> 
+#>     pf
+
+
+ + + +
+ + + + +
+ + + + + + + + diff --git a/docs/articles/index.html b/docs/articles/index.html index de448cd..3128839 100644 --- a/docs/articles/index.html +++ b/docs/articles/index.html @@ -1,66 +1,12 @@ - - - - - - - -Articles • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Articles • flapper - - - - + + -
-
- -
- -
+

Articles

@@ -120,31 +63,29 @@

Articles

All vignettes

-
-
Vignette: an introduction to the `flapper` package
-
-
-
+
`flapper`: practitioner FAQs
+
+
`flapper`: an overview
+
+
-
- - + + diff --git a/docs/authors.html b/docs/authors.html index 8f804ad..6885a6e 100644 --- a/docs/authors.html +++ b/docs/authors.html @@ -1,66 +1,12 @@ - - - - - - - -Authors • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Authors and Citation • flapper + + - - - - - -
-
-
- -
+
-
-

Authors

+
+
+

Authors

+
+ + +
  • +

    Edward Lavender. Maintainer. +

    +
    • +
+
+
+

Citation

+ Source: DESCRIPTION +
-
    -
  • -

    Edward Lavender. Maintainer. -

    -
    • -
+ +

Lavender E (2023). +flapper: Routines for the analysis of passive acoustic telemetry data. +https://github.com/edwardlavender/flapper/, https://edwardlavender.github.io/flapper/. +

+ 
@Manual{,
+  title = {flapper: Routines for the analysis of passive acoustic telemetry data},
+  author = {Edward Lavender},
+  year = {2023},
+  note = {https://github.com/edwardlavender/flapper/, https://edwardlavender.github.io/flapper/},
+}
@@ -129,22 +91,20 @@

Authors

-
-
-

Developed by Edward Lavender.

+
+

Developed by Edward Lavender.

-

Site built with pkgdown 1.6.1.

+

Site built with pkgdown 2.0.7.

-
-
+
- - + + diff --git a/docs/index.html b/docs/index.html index 23efa0a..6076ee0 100644 --- a/docs/index.html +++ b/docs/index.html @@ -19,6 +19,8 @@ + +
-
-

-flapper

-

Routines for the analysis of passive acoustic telemetry data, including the reconstruction of fine-scale movement paths and emergent patterns of space use. https://edwardlavender.github.io/flapper/

-

Project Status: Active – The project has reached a stable, usable state and is being actively developed. CRAN_Status_Badge

-

flapper is an R package which provides tools for passive acoustic telemetry data. The package has been particularly motivated by the collection of acoustic and archival data from a Critically Endangered elasmobranch, the flapper skate (Dipturus intermedius), off the west coast of Scotland where a static passive acoustic telemetry array was established to examine the movements of individuals within a Marine Protected Area. flapper has been designed to complement existing packages for the analysis of these data (e.g. VTrack, glatos and fishtrack3d and actel), with a particular focus on the provision of movement modelling methods for passive acoustic telemetry systems that permit the reconstruction of fine-scale movement paths and emergent patterns of space use. To this end, flapper contains functions in the following themes:

+
+

flapper +

+

Routines for the analysis of passive acoustic telemetry data, including the reconstruction of fine-scale movement paths and emergent patterns of space use. https://edwardlavender.github.io/flapper/

+

Project Status: Active – The project has reached a stable, usable state and is being actively developed. CRAN_Status_Badge

+

flapper is an R package which provides tools for passive acoustic telemetry data. The package has been particularly motivated by the collection of acoustic and archival data from a Critically Endangered elasmobranch, the flapper skate (Dipturus intermedius), off the west coast of Scotland where a static passive acoustic telemetry array was established to examine the movements of individuals within a Marine Protected Area. flapper has been designed to complement existing packages for the analysis of these data (e.g. VTrack, glatos and fishtrack3d and actel), with a particular focus on the provision of movement modelling methods for passive acoustic telemetry systems that permit the reconstruction of fine-scale movement paths and emergent patterns of space use. To this end, flapper contains functions in the following themes:

  • Data processing tools, including data assembly (e.g., range-testing datasets), the evaluation of false detections and quality checks;
    • @@ -92,15 +100,15 @@
  • Simulation tools, including tools for the simulation of passive acoustic telemetry arrays, movement paths, detections and the comparison of simulated and reconstructed patterns of space use under different conditions;
-

flapper: An R package of routines for the analysis of passive acoustic telemetry data, especially the reconstruction of fine-scale movement paths and emergent patterns of space use. Inserted sample depth and acoustic time series were collected as part of the Movement Ecology of Flapper Skate project by Marine Scotland Science and NatureScot. The insert of the flapper skate is also courtesy of this project. The bathymetry data are sourced from the Ireland, Northern Island and Scotland Hydrographic survey (Howe et al., 2014). Plots were produced using the prettyGraphics package.

-

For full package details, vignettes and illustrated examples, go to https://edwardlavender.github.io/flapper/.

-
-

-Highlights

-

The main highlights of the package are the provision of routines for the rapid calculation of biologically meaningful distances in areas with complex barriers to movement (e.g., coastline) alongside algorithms (most of which are exclusive to flapper) for reconstructing movements and patterns of space use from discrete detections at receivers, especially:

+

flapper: An R package of routines for the analysis of passive acoustic telemetry data, especially the reconstruction of fine-scale movement paths and emergent patterns of space use. Inserted sample depth and acoustic time series were collected as part of the Movement Ecology of Flapper Skate project by Marine Scotland Science and NatureScot. The insert of the flapper skate is also courtesy of this project. The bathymetry data are sourced from the Ireland, Northern Island and Scotland Hydrographic survey (Howe et al., 2014). Plots were produced using the prettyGraphics package.

+

For full package details, vignettes and illustrated examples, go to https://edwardlavender.github.io/flapper/.

+
+

Highlights +

+

The main highlights of the package are the provision of routines for the rapid calculation of biologically meaningful distances in areas with complex barriers to movement (e.g., coastline) alongside algorithms (most of which are exclusive to flapper) for reconstructing movements and patterns of space use from discrete detections at receivers, especially:

  • -lcp_*(). These functions facilitate the calculation of shortest paths and their distances between and around points using efficient C++ algorithms from the cppRouting package. This makes it easy to use biologically meaningful distances (that account for the bathymetric surface over which a benthic animal must move, if applicable, and barriers to movement) in movement models.
    • +lcp_*(). These functions facilitate the calculation of shortest paths and their distances between and around points using efficient C++ algorithms from the cppRouting package. This makes it easy to use biologically meaningful distances (that account for the bathymetric surface over which a benthic animal must move, if applicable, and barriers to movement) in movement models.
  • coa(). This function implements the arithmetic version of the mean-position algorithm to estimate centres of activity (COAs) from discrete detections at receivers, given a detection matrix and the locations of receivers.
  • @@ -115,26 +123,26 @@

    sim_*(). These functions provide flexible, joined-up routines for the simulation of receiver arrays, movement paths and detections.

-
-

-Installation

-

This package requires R version ≥ 4.0. You can check your current version with R.version.string. Subsequent installation steps (may) require the devtools and pkgbuild packages, which can be installed with install.packages(c("devtools", "pkgbuild")). On Windows, package building requires Rtools. You can check whether Rtools is installed with pkgbuild::has_rtools(). If Rtools is not installed, it is necessary to download and install the appropriate version of Rtools before proceeding by following the instructions here.

-

Four packages (prettyGraphics, Tools4ETS, fasterRaster and glatos) are required or suggested from GitHub repositories (since they are not currently available from CRAN). These can be installed during the installation process (see below), but it is safer to install them sequentially as follows:

-
devtools::install_github("edwardlavender/prettyGraphics") # required
-devtools::install_github("edwardlavender/Tools4ETS")      # required
-devtools::install_github("adamlilith/fasterRaster")       # suggested
-devtools::install_url(                                    # suggested
-  "https://gitlab.oceantrack.org/GreatLakes/glatos/repository/master/archive.zip",
-   build_opts = c("--no-resave-data", "--no-manual"))
-

To install these packages with their vignettes, add dependencies = TRUE and build_vignettes = TRUE as arguments to the code above (see ?devtools::install_github or ?devtools::install_url for further information). Then, you can install the development version of flapper from GitHub as shown below:

+
+

Installation +

+

This package requires R version ≥ 4.0. You can check your current version with R.version.string. Subsequent installation steps (may) require the devtools and pkgbuild packages, which can be installed with install.packages(c("devtools", "pkgbuild")). On Windows, package building requires Rtools. You can check whether Rtools is installed with pkgbuild::has_rtools(). If Rtools is not installed, it is necessary to download and install the appropriate version of Rtools before proceeding by following the instructions here.

+

Four packages (prettyGraphics, Tools4ETS, fasterRaster and glatos) are required or suggested from GitHub repositories (since they are not currently available from CRAN). These can be installed during the installation process (see below), but it is safer to install them sequentially as follows:

+
devtools::install_github("edwardlavender/prettyGraphics") # required
+devtools::install_github("edwardlavender/Tools4ETS")      # required
+devtools::install_github("adamlilith/fasterRaster")       # suggested
+devtools::install_url(                                    # suggested
+  "https://gitlab.oceantrack.org/GreatLakes/glatos/repository/master/archive.zip",
+   build_opts = c("--no-resave-data", "--no-manual"))
+

To install these packages with their vignettes, add dependencies = TRUE and build_vignettes = TRUE as arguments to the code above (see ?devtools::install_github or ?devtools::install_url for further information). Then, you can install the development version of flapper from GitHub as shown below:

-devtools::install_github("edwardlavender/flapper", dependencies = TRUE, build_vignettes = TRUE)
+devtools::install_github("edwardlavender/flapper", dependencies = TRUE, build_vignettes = TRUE)

The dependencies = TRUE argument will also install any suggested packages, which are required by some functions/examples and to build vignettes (which will be added to the package in due course). To access the vignettes, use vignette("flapper_intro", package = "flapper") for a general introduction to the package. Note that vignettes have not yet been added to the package.

-
-

-Example datasets

-

A key feature of the flapper package is that most functions are designed to be implemented using standard object types (e.g., dataframes and matrices) rather than package-specific object classes. For simplicity, flapper makes some assumptions about variable names that follow a consistent and logical structure (e.g., individual IDs are given as individual_id and receiver IDs are given as receiver_id) but, notwithstanding this framework, this structure means that the functions in the package are accessible and straightforward to use.

+
+

Example datasets +

+

A key feature of the flapper package is that most functions are designed to be implemented using standard object types (e.g., dataframes and matrices) rather than package-specific object classes. For simplicity, flapper makes some assumptions about variable names that follow a consistent and logical structure (e.g., individual IDs are given as individual_id and receiver IDs are given as receiver_id) but, notwithstanding this framework, this structure means that the functions in the package are accessible and straightforward to use.

Functions are illustrated using simulated data and the following sample data collected from flapper skate off the west coast of Scotland:

  • @@ -150,9 +158,9 @@

These example datasets were collected by Marine Scotland Science and NatureScot as part of the Movement Ecology of Flapper Skate project and belong to these organisations. If you wish to use these data, please contact Marine Scotland Science and NatureScot for further information.

-
-

-Data processing tools

+
+

Data processing tools +

A number of functions facilitate the acquisition, assembly, processing and checking of passive acoustic telemetry time series:

  • @@ -202,9 +210,9 @@

-
-

-Spatial tools

+
+

Spatial tools +

A number of functions facilitate spatial operations that support common tasks and modelling algorithms:

-
-

-Distance calculations

+
+

Distance calculations +

Some functions facilitate standard distance calculations using Euclidean distances:

  • @@ -261,9 +269,9 @@

    lcp_comp() compares Euclidean and shortest-distance metrics for an area;

-
-

-Detection statistics

+
+

Detection statistics +

A number of functions facilitate the calculation of detection statistics, including those related to sampling effort and to detections of individuals:

-
-

-Movement metrics

+
+

Movement metrics +

Building on the analysis of detection time series, some functions (get_mvt_*()) provide movement metrics:

  • @@ -325,14 +333,14 @@

-
-

-Modelling algorithms

-

The main thrust of flapper is the implementation of algorithms designed to reconstruct fine-scale movement paths and emergent patterns of space use in passive acoustic telemetry systems.

-
-

-The centres of activity (COA) algorithm

-

Centres of activity (COA) are one of the most widely used metrics for the reconstruction of patterns of space use from passive acoustic telemetry data. Several methods have been developed to calculate COAs, but the mean-position algorithm is the commonest. To generate estimates of space use, COAs are usually taken as point estimates from which UDs (typically kernel UDs or KUDs) are estimated. flapper facilitates the implementation of this approach with the following functions:

+
+

Modelling algorithms +

+

The main thrust of flapper is the implementation of algorithms designed to reconstruct fine-scale movement paths and emergent patterns of space use in passive acoustic telemetry systems.

+
+

The centres of activity (COA) algorithm +

+

Centres of activity (COA) are one of the most widely used metrics for the reconstruction of patterns of space use from passive acoustic telemetry data. Several methods have been developed to calculate COAs, but the mean-position algorithm is the commonest. To generate estimates of space use, COAs are usually taken as point estimates from which UDs (typically kernel UDs or KUDs) are estimated. flapper facilitates the implementation of this approach with the following functions:

-
-

-The flapper family of algorithms

-

Alongside the COA algorithm, this package introduces the flapper of algorithms for the inferring patterns of space use.

+
+

The flapper family of algorithms +

+

Alongside the COA algorithm, this package introduces the flapper of algorithms for the inferring patterns of space use.

The ‘flapper’ family of algorithms. The acoustic-container (AC) branch utilises acoustic data (and/or ancillary information) to reconstruct the set of possible locations for an individual through time. The particle filtering (PF) branch refines this set via the implementation of a particle simulation and filtering approach for the reconstruction of possible movement paths.

-
-

-AC/DC branch algorithms

-
-

-The depth-contour (DC) algorithm

+
+

AC/DC branch algorithms +

+
+

The depth-contour (DC) algorithm +

The depth-contour (DC) algorithm is the simplest. Whereas the COA approach only makes use of detections, the DC approach only uses depth observations. Specifically, this algorithm uses observed depths (± some error) to define the subset of possible locations of each individual within a defined area: for pelagic species, tagged individuals must be in an area where the seabed depth is at least as deep as the observed depth; for benthic/demersal species, tagged individuals must be in an area where the seabed depth is close to the observed depth. This is implemented via dc(). The ‘quick’ depth-contour (DCQ) algorithm, implemented via dcq(), uses a modified version of this algorithm for quicker run times.

-
-

-The acoustic-container* (AC*) algorithm(s)

-

The flapper family-equivalent of the COA algorithm is the acoustic-container (AC) algorithm. This approach represents the information from acoustic detections in the form of acoustic containers, which contract and expand in line with our uncertainty in an individual’s location when it is detected and in the gaps between detections. The acoustic-container depth-contour (ACDC) algorithm combines the AC and DC algorithms, using passive acoustic telemetry data to inform the area within which depth contours are most likely to be found. These algorithms are implemented with the ac*() family of functions:

+
+

The acoustic-container* (AC*) algorithm(s) +

+

The flapper family-equivalent of the COA algorithm is the acoustic-container (AC) algorithm. This approach represents the information from acoustic detections in the form of acoustic containers, which contract and expand in line with our uncertainty in an individual’s location when it is detected and in the gaps between detections. The acoustic-container depth-contour (ACDC) algorithm combines the AC and DC algorithms, using passive acoustic telemetry data to inform the area within which depth contours are most likely to be found. These algorithms are implemented with the ac*() family of functions:

-
-

-AC/DC post-processing and analysis

+
+

AC/DC post-processing and analysis +

The AC-branch functions (ac(), dc() and acdc()) all return objects of class acdc_archive. These can be processed and analysed using several key functions:

  • @@ -400,9 +408,9 @@

-
-

-Particle filtering branch algorithms

+
+

Particle filtering branch algorithms +

Each algorithm (AC, DC and ACDC) can be extended through incorporation of a movement model to reconstruct movement paths over a surface that are consistent with the observations (and model assumptions). The resultant algorithms are termed the ACPF, DCPF and ACDCPF algorithms. The approach is implemented via a particle simulation and filtering process provided by the pf*() family of functions:

  • @@ -442,10 +450,10 @@

-
-

-Simulation tools

-

flapper provides joined-up routines for the simulation of acoustic arrays, movement paths and detections at receivers:

+
+

Simulation tools +

+

flapper provides joined-up routines for the simulation of acoustic arrays, movement paths and detections at receivers:

  • sim_array() simulates alternative array designs;
    @@ -464,13 +472,13 @@

To evaluate the performance of alternative algorithms for reconstructing patterns of space use under different array designs, movement models and detections models, eval_by_kud() compares patterns of space use reconstructed from simulated and estimated movement paths using KUDs.

-
-

-Parallelisation routines

-

Parallelisation in flapper is facilitated by the cl_*() function family:

+
+

Parallelisation routines +

+

Parallelisation in flapper is facilitated by the cl_*() function family:

-
-

-Associated packages

+
+

Associated packages +

  • -prettyGraphics facilitates the production of pretty, publication-quality and interactive visualisations, with a particular focus on time series. This makes it easy to create abacus plots, visualise time series (across factor levels, at different temporal scales and in relation to covariates), bathymetric landscapes and movement pathways in three-dimensions, and detection similarity matrices.
    • +prettyGraphics facilitates the production of pretty, publication-quality and interactive visualisations, with a particular focus on time series. This makes it easy to create abacus plots, visualise time series (across factor levels, at different temporal scales and in relation to covariates), bathymetric landscapes and movement pathways in three-dimensions, and detection similarity matrices.
  • -Tools4ETS provides a set of general tools for ecological time series, including for the definition of time categories, matching time series (e.g., detection observations with temporally varying environmental covariates), flagging independent time series and simulations.
    • +Tools4ETS provides a set of general tools for ecological time series, including for the definition of time categories, matching time series (e.g., detection observations with temporally varying environmental covariates), flagging independent time series and simulations.
  • -fvcom.tbx provides tools for the integration of hydrodynamic model predictions (from the Finite Volume Coastal Ocean Model) with ecological datasets (e.g., detection time series). This facilitates the inclusion of hydrodynamic model predictions as covariates in movement models and the validation of hydrodynamic model predictions with movement datasets or data collected from static acoustic receivers. This package was particularly motivated by the West Scotland Coastal Ocean Modelling System (WeStCOMS).
    • +fvcom.tbx provides tools for the integration of hydrodynamic model predictions (from the Finite Volume Coastal Ocean Model) with ecological datasets (e.g., detection time series). This facilitates the inclusion of hydrodynamic model predictions as covariates in movement models and the validation of hydrodynamic model predictions with movement datasets or data collected from static acoustic receivers. This package was particularly motivated by the West Scotland Coastal Ocean Modelling System (WeStCOMS).
-
-

-References

-

Howe, J. A. et al. (2014). The seabed geomorphology and geological structure of the Firth of Lorn, western Scotland, UK, as revealed by multibeam echo-sounder survey. Earth Environ. Sci. Trans. R. Soc. Edinburgh 105, 273–284. https://doi.org/10.1017/S1755691015000146

+
+

References +

+

Howe, J. A. et al. (2014). The seabed geomorphology and geological structure of the Firth of Lorn, western Scotland, UK, as revealed by multibeam echo-sounder survey. Earth Environ. Sci. Trans. R. Soc. Edinburgh 105, 273–284. https://doi.org/10.1017/S1755691015000146

-
-

-Citation

+
+

Citation +

Lavender, E. et al. (in prep). A semi-stochastic modelling framework for passive acoustic telemetry.

-

Lavender, E. (2021). flapper: Routines for the analysis of passive acoustic telemetry data. R package version 0.0.9000. https://github.com/edwardlavender/flapper/

+

Lavender, E. (2021). flapper: Routines for the analysis of passive acoustic telemetry data. R package version 0.0.9000. https://github.com/edwardlavender/flapper/

-

Developed by Edward Lavender.

+

+

Developed by Edward Lavender.

-

Site built with pkgdown 1.6.1.

+

+

Site built with pkgdown 2.0.7.

@@ -553,5 +573,7 @@

Developers

+ + diff --git a/docs/news/index.html b/docs/news/index.html index b8ce82f..cb60197 100644 --- a/docs/news/index.html +++ b/docs/news/index.html @@ -1,66 +1,12 @@ - - - - - - - -Changelog • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Changelog • flapper - - + + - - -
-
- -
- -
+

Changelog

- Source: NEWS.md + Source: NEWS.md
-
-

-flapper 0.0.9000

-
    -
  • The developmental version of flapper +
    +

    +flapper (development version)

    +
    • +Datasets +
      • Rebuild (RasterLayer) datasets to fix no slot of name "srs" for this object of class "RasterLayer" warning for dat_gebco (and downstream errors)
        • +
      • Replace non-ASCII characters in the comment attributes of Coordinate Reference System (CRS) objects to fix the warnings for these during R CMD check (Warning: found non-ASCII strings PROJCRS...)
        • +
      • Set flapper_run_slow and flapper_run_parallel to FALSE on remote
        • +
      • +
    • +Function fixes + -
    +
  • Fix and refine calculations in get_detection_days() +
    • +
  • Fixes to functions after dependencies update, including: +
    • +
+
  • +Function improvements +
    • Update .acs_pl() and .acs() internals to check for centroid overlap (to prevent unclear error messages)
      • +
    • Update get_mvt_mobility_from_archival() with step_check argument to check for regular time series
      • +
    • Update dist_btw_receivers() to handle lon/lat and planar coordinates and return dataframes or matrices
      • +
    • Update check_*() functions with internal improvements
      • +
    • +
  • +Function tests +
    • Set up testing with testthat;
      • +
    • +
  • +Documentation +
    • Add flapper_algorithms_faqs vignette
      • +
    • +
    +
    +

    +flapper 1.0.0

    +
    • The first release of flapper +
      • +
    +
    +

    +flapper 0.0.0.9000

    +
    • The developmental version of flapper +
      • +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/pkgdown.css b/docs/pkgdown.css index 1273238..80ea5b8 100644 --- a/docs/pkgdown.css +++ b/docs/pkgdown.css @@ -56,8 +56,10 @@ img.icon { float: right; } -img { +/* Ensure in-page images don't run outside their container */ +.contents img { max-width: 100%; + height: auto; } /* Fix bug in bootstrap (only seen in firefox) */ @@ -78,11 +80,10 @@ dd { /* Section anchors ---------------------------------*/ a.anchor { - margin-left: -30px; - display:inline-block; - width: 30px; - height: 30px; - visibility: hidden; + display: none; + margin-left: 5px; + width: 20px; + height: 20px; background-image: url(./link.svg); background-repeat: no-repeat; @@ -90,17 +91,15 @@ a.anchor { background-position: center center; } -.hasAnchor:hover a.anchor { - visibility: visible; -} - -@media (max-width: 767px) { - .hasAnchor:hover a.anchor { - visibility: hidden; - } +h1:hover .anchor, +h2:hover .anchor, +h3:hover .anchor, +h4:hover .anchor, +h5:hover .anchor, +h6:hover .anchor { + display: inline-block; } - /* Fixes for fixed navbar --------------------------*/ .contents h1, .contents h2, .contents h3, .contents h4 { @@ -264,31 +263,26 @@ table { /* Syntax highlighting ---------------------------------------------------- */ -pre { - word-wrap: normal; - word-break: normal; - border: 1px solid #eee; -} - -pre, code { +pre, code, pre code { background-color: #f8f8f8; color: #333; } +pre, pre code { + white-space: pre-wrap; + word-break: break-all; + overflow-wrap: break-word; +} -pre code { - overflow: auto; - word-wrap: normal; - white-space: pre; +pre { + border: 1px solid #eee; } -pre .img { +pre .img, pre .r-plt { margin: 5px 0; } -pre .img img { +pre .img img, pre .r-plt img { background-color: #fff; - display: block; - height: auto; } code a, pre a { @@ -305,9 +299,8 @@ a.sourceLine:hover { .kw {color: #264D66;} /* keyword */ .co {color: #888888;} /* comment */ -.message { color: black; font-weight: bolder;} -.error { color: orange; font-weight: bolder;} -.warning { color: #6A0366; font-weight: bolder;} +.error {font-weight: bolder;} +.warning {font-weight: bolder;} /* Clipboard --------------------------*/ @@ -365,3 +358,27 @@ mark { content: ""; } } + +/* Section anchors --------------------------------- + Added in pandoc 2.11: https://github.com/jgm/pandoc-templates/commit/9904bf71 +*/ + +div.csl-bib-body { } +div.csl-entry { + clear: both; +} +.hanging-indent div.csl-entry { + margin-left:2em; + text-indent:-2em; +} +div.csl-left-margin { + min-width:2em; + float:left; +} +div.csl-right-inline { + margin-left:2em; + padding-left:1em; +} +div.csl-indent { + margin-left: 2em; +} diff --git a/docs/pkgdown.js b/docs/pkgdown.js index 7e7048f..6f0eee4 100644 --- a/docs/pkgdown.js +++ b/docs/pkgdown.js @@ -80,7 +80,7 @@ $(document).ready(function() { var copyButton = ""; - $(".examples, div.sourceCode").addClass("hasCopyButton"); + $("div.sourceCode").addClass("hasCopyButton"); // Insert copy buttons: $(copyButton).prependTo(".hasCopyButton"); @@ -91,7 +91,7 @@ // Initialize clipboard: var clipboardBtnCopies = new ClipboardJS('[data-clipboard-copy]', { text: function(trigger) { - return trigger.parentNode.textContent; + return trigger.parentNode.textContent.replace(/\n#>[^\n]*/g, ""); } }); diff --git a/docs/pkgdown.yml b/docs/pkgdown.yml index 448c82c..e87917c 100644 --- a/docs/pkgdown.yml +++ b/docs/pkgdown.yml @@ -1,7 +1,8 @@ -pandoc: 2.7.3 -pkgdown: 1.6.1 +pandoc: 2.19.2 +pkgdown: 2.0.7 pkgdown_sha: ~ articles: - flapper: flapper.html -last_built: 2022-06-17T08:52Z + flapper_algorithms_faqs: flapper_algorithms_faqs.html + flapper_overview: flapper_overview.html +last_built: 2023-02-19T13:45Z diff --git a/docs/reference/Rplot002.png b/docs/reference/Rplot002.png index 06f9a0c..23874af 100644 Binary files a/docs/reference/Rplot002.png and b/docs/reference/Rplot002.png differ diff --git a/docs/reference/Rplot003.png b/docs/reference/Rplot003.png index b232b0e..ddcf1b7 100644 Binary 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b/docs/reference/ac.html index e7e9593..42689a6 100644 --- a/docs/reference/ac.html +++ b/docs/reference/ac.html @@ -1,68 +1,13 @@ - - - - - - - -The acoustic-container (AC) algorithm — ac • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -The acoustic-container (AC) algorithm — ac • flapper - + + - - - -
    -
    - -
    - -
    +

    The acoustic-container (AC) algorithm

    - Source: R/ac.R + Source: R/ac.R

    This function implements the acoustic-container (AC) algorithm. To implement the function, a dataframe (or list) of passive acoustic telemetry detections is required (acoustics). At each time step, the algorithm integrates information from past and future acoustic detections in the form of acoustic containers to determine the possible locations of an individual in an area (see Details).

    -

    Under the default options, the approach is implemented step-wise (i.e., step-by-step across the whole time series). The result is a named list of outputs, including a record of the results for each time step, as well as a cumulative map of the expected proportion of time spent in each part of the study area across the whole time series. Alternatively, the approach can be implemented chunk-wise, in which case the acoustic time series is split into chunks (e.g., hourly, daily, monthly segments) and the algorithm is implemented within each chunk step-by-step. The main benefits of this approach are that it can be used to reconstruct putative patterns in space use over biologically meaningful periods separately and/or the chunk-wise implementation can be parallelised, improving computation time. (Chunk-wise results results are easily combined across the duration of the original time series without the loss of information via acdc_simplify.). This option is implemented if (a) a list, rather than a dataframe, of acoustic detections is provided (via acoustics); (b) the user specifies that the time series should be split into chunks of a particular duration before the algorithm is initiated (via the split argument); and/or (c) the algorithm is implemented in parallel via cl, in which case the acoustic time series is split (if necessary) into user-defined or automatically defined chunks prior to computation. In this case, the result is a named list of outputs, as described above, but in which the results for each chunk are returned separately. If the chunks have been implemented simply to improve computation time via parallelisation, then the maps of space use for each chunk can be combined easily to generate a single, overall map of space use via acdc_simplify.

    +

    Under the default options, the approach is implemented step-wise (i.e., step-by-step across the whole time series). The result is a named list of outputs, including a record of the results for each time step, as well as a cumulative map of the expected proportion of time spent in each part of the study area across the whole time series. Alternatively, the approach can be implemented chunk-wise, in which case the acoustic time series is split into chunks (e.g., hourly, daily, monthly segments) and the algorithm is implemented within each chunk step-by-step. The main benefits of this approach are that it can be used to reconstruct putative patterns in space use over biologically meaningful periods separately and/or the chunk-wise implementation can be parallelised, improving computation time. (Chunk-wise results results are easily combined across the duration of the original time series without the loss of information via acdc_simplify.). This option is implemented if (a) a list, rather than a dataframe, of acoustic detections is provided (via acoustics); (b) the user specifies that the time series should be split into chunks of a particular duration before the algorithm is initiated (via the split argument); and/or (c) the algorithm is implemented in parallel via cl, in which case the acoustic time series is split (if necessary) into user-defined or automatically defined chunks prior to computation. In this case, the result is a named list of outputs, as described above, but in which the results for each chunk are returned separately. If the chunks have been implemented simply to improve computation time via parallelisation, then the maps of space use for each chunk can be combined easily to generate a single, overall map of space use via acdc_simplify.

    - 
    ac(
-  acoustics,
-  step,
-  bathy,
-  plot_ts = TRUE,
-  detection_containers,
-  detection_kernels = NULL,
-  detection_kernels_overlap = NULL,
-  detection_time_window = 5,
-  mobility,
-  normalise = TRUE,
-  save_record_spatial = 1L,
-  write_record_spatial_for_pf = NULL,
-  save_args = TRUE,
-  verbose = TRUE,
-  con = "",
-  progress = 1L,
-  split = NULL,
-  cl = NULL,
-  varlist = NULL
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    acoustics

    A dataframe, or a list of dataframes, that contains passive acoustic telemetry detection time series (see dat_acoustics for an example) for a single individual. Each dataframe should contain the following columns: an integer vector of receiver IDs, named `receiver_id'; an integer vector of detection indices, named `index'; and a POSIXct vector of time stamps when detections were made, named `timestamp'. If a list of dataframes is supplied, dataframes must be refer to the detections of a single individual and be ordered by time (e.g., in hourly chunks). In addition, sequential list elements must be linked by identical receiver pairs (i.e., the final receiver at which the individual was detected for any given chunk must be the same as the receiver at which the individual was next detected at the start of the next chunk) because it is only in this specific scenario that information does not need to be shared across time steps (see split). The algorithm will be implemented on each dataframe, termed `chunk', either in sequence or parallel. Any empty or NULL elements will be removed automatically.

    step

    A number that defines the time step length (s). The time series is rounded to the nearest step to ensure alignment (see Details). `Duplicate' detections (of the same individual at the same receiver in the same step) are dropped.

    bathy

    A raster that defines a grid across the area within which the individual could have moved. The coordinate reference system should be the Universal Transverse Mercator system, with distances in metres (see also acs_setup_containers).

    plot_ts

    A logical input that defines whether or not to the plot detection time series before the algorithm is initiated.

    detection_containers

    A list of detection containers, with one element for each number from 1:max(acoustics$receiver_id), from acs_setup_containers.

    detection_kernels

    A named list of detection probability kernels, from acs_setup_detection_kernels and created using consistent parameters as specified for other acs_setup_* functions and here (i.e., see the overlaps, calc_detection_pr and map arguments in acs_setup_detection_kernels).

    detection_kernels_overlap

    (optional) A named list, from get_detection_containers_overlap, that defines, for each receiver, for each day over its deployment period, whether or not its detection container overlapped with those of other receivers. If detection_kernels_overlap and detection_time_window (below) are supplied, the implementation of detection probability kernels when a detection is made accounts for overlaps in receivers' detection containers; if unsupplied, receiver detection probability kernels are assumed not to overlap.

    detection_time_window

    (optional) A number that defines the maximum duration (s) between consecutive detections at different receivers such that they can be said to have occurred at `effectively the same time'. This indicates that the same transmission was detected by multiple receivers. If detection_kernels_overlap (above) and detection_time_window are supplied, the implementation of detection probability kernels when a detection is made accounts for overlaps in receivers' detection containers, by up-weighting overlapping areas between receivers that detected the transmission and down-weighting overlapping areas between receivers that did not detect the transmission (see Details in acs_setup_detection_kernels). Note that the timing of detections is affected by step (see Details).

    mobility

    A number that defines the (Euclidean) distance (m) that an individual could move in the time steps between sequential detections (see also acs_setup_containers).

    normalise

    A logical variable that defines whether or not to normalise the map of possible locations at each time step. (The cumulative surface can be normalised via acdc_simplify).

    save_record_spatial

    An integer vector that defines the time steps for which to save a record of the spatial information from each time step. save_record_spatial = 0L suppresses the return of this information and save_record_spatial = NULL returns this information for all time steps. If the algorithm is applied chunk-wise, this spatial information must be returned for at least the first time step (the default) to aggregate maps across chunks (see acdc_simplify). This information can also be used to plot time-specific results of the algorithm using acdc_plot_trace, acdc_plot_record and acdc_animate_record.

    write_record_spatial_for_pf

    (optional) A named list, passed to writeRaster, to save the raster of the individual's possible positions at each time step to file. The `filename' argument should be the directory in which to save files. Files are named by acoustic and intermediate (archival) time steps. For example, the file for the first acoustic time step and the first archival time step is named acc_1_arc_1.

    save_args

    A logical input that defines whether or not to save the list of function inputs in the returned object.

    verbose

    A logical variable that defines whether or not to print messages to the console or to file to relay function progress. If con = "", messages are printed to the console (which is only supported if the algorithm is not implemented in parallel: see below); otherwise, they are written to file (see below).

    con

    If verbose = TRUE, con is character string that defines how messages relaying function progress are returned. If con = "", messages are printed to the console (unless redirected by sink), an approach that is only implemented if the function is not implemented in parallel. Otherwise, con defines the directory into which to write .txt files, into which messages are written to relay function progress. This approach, rather than printing to the console, is recommended for clarity, speed and debugging. If the algorithm is implemented step-wise, then a single file is written to the specified directory named acdc_log.txt. If the algorithm is implemented chunk-wise, then an additional file is written for each chunk (named dot_acdc_log_1.txt, dot_acdc_log_2.txt and so on), with the details for each chunk.

    progress

    (optional) If the algorithm is implemented step-wise, progress is an integer (1, 2 or 3) that defines whether or not to display a progress bar in the console as the algorithm moves over acoustic time steps (1), the archival time steps between each pair of acoustic detections (2) or both acoustic and archival time steps (3), in which case the overall acoustic progress bar is punctuated by an archival progress bar for each pair of acoustic detections. This option is useful if there is a large number of archival observations between acoustic detections. Any other input will suppress the progress bar. If the algorithm is implemented for chunks, inputs to progress are ignored and a single progress bar is shown of the progress across acoustic chunks.

    split

    A character string that defines the (approximate) time unit used to split acoustic time series into chunks (e.g., "12 hours"). If provided, this must be supported by cut.POSIXt (otherwise, a pre-defined list of acoustic time series can be passed to acoustics, e.g., specifying seasonal chunks). If split = NULL and a cluster has been specified (see cl) (and acoustics is a dataframe), then the acoustic time series is automatically split into chunks and the algorithm implemented for each chunk in parallel. In all cases, splitting is subject to the constraint that chunks must join at identical receiver pairs (i.e., the last receiver at which the individual was detected on one chunk must match the first receiver at which the individual was next detected at the start of the next chunk): in these specific scenarios, information does not need to transfer from one time step to the next.

    cl, varlist

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes to implement the algorithm in parallel. If supplied, the algorithm is implemented for each chunk in a list of acoustic time series, either (a) as supplied by the user (if acoustics is a list), (b) as defined by the input to split, or (c) as defined automatically from the number of nodes in the cluster if split = NULL. If cl is supplied, varlist may also be required. This is a character vector of objects to export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    - -

    Value

    - -

    The function returns an acdc_archive-class object. If a connection to write files has also been specified, an overall log (acdc_log.txt) as well as chunk-specific logs from calls to .acs, if applicable, are written to file.

    -

    Details

    +
    + 
    ac(
+  acoustics,
+  step,
+  bathy,
+  plot_ts = TRUE,
+  detection_containers,
+  detection_kernels = NULL,
+  detection_kernels_overlap = NULL,
+  detection_time_window = 5,
+  mobility,
+  normalise = TRUE,
+  save_record_spatial = 1L,
+  write_record_spatial_for_pf = NULL,
+  save_args = TRUE,
+  verbose = TRUE,
+  con = "",
+  progress = 1L,
+  split = NULL,
+  cl = NULL,
+  varlist = NULL
+)
    +
    + +
    +

    Arguments

    +
    acoustics
    +

    A dataframe, or a list of dataframes, that contains passive acoustic telemetry detection time series (see dat_acoustics for an example) for a single individual. Each dataframe should contain the following columns: an integer vector of receiver IDs, named `receiver_id'; an integer vector of detection indices, named `index'; and a POSIXct vector of time stamps when detections were made, named `timestamp'. If a list of dataframes is supplied, dataframes must be refer to the detections of a single individual and be ordered by time (e.g., in hourly chunks). In addition, sequential list elements must be linked by identical receiver pairs (i.e., the final receiver at which the individual was detected for any given chunk must be the same as the receiver at which the individual was next detected at the start of the next chunk) because it is only in this specific scenario that information does not need to be shared across time steps (see split). The algorithm will be implemented on each dataframe, termed `chunk', either in sequence or parallel. Any empty or NULL elements will be removed automatically.

    + + +
    step
    +

    A number that defines the time step length (s). The time series is rounded to the nearest step to ensure alignment (see Details). `Duplicate' detections (of the same individual at the same receiver in the same step) are dropped.

    + + +
    bathy
    +

    A raster that defines a grid across the area within which the individual could have moved. The coordinate reference system should be the Universal Transverse Mercator system, with distances in metres (see also acs_setup_containers).

    + +
    plot_ts
    +

    A logical input that defines whether or not to the plot detection time series before the algorithm is initiated.

    + + +
    detection_containers
    +

    A list of detection containers, with one element for each number from 1:max(acoustics$receiver_id), from acs_setup_containers.

    + + +
    detection_kernels
    +

    A named list of detection probability kernels, from acs_setup_detection_kernels and created using consistent parameters as specified for other acs_setup_* functions and here (i.e., see the overlaps, calc_detection_pr and map arguments in acs_setup_detection_kernels).

    + + +
    detection_kernels_overlap
    +

    (optional) A named list, from get_detection_containers_overlap, that defines, for each receiver, for each day over its deployment period, whether or not its detection container overlapped with those of other receivers. If detection_kernels_overlap and detection_time_window (below) are supplied, the implementation of detection probability kernels when a detection is made accounts for overlaps in receivers' detection containers; if unsupplied, receiver detection probability kernels are assumed not to overlap.

    + + +
    detection_time_window
    +

    (optional) A number that defines the maximum duration (s) between consecutive detections at different receivers such that they can be said to have occurred at `effectively the same time'. This indicates that the same transmission was detected by multiple receivers. If detection_kernels_overlap (above) and detection_time_window are supplied, the implementation of detection probability kernels when a detection is made accounts for overlaps in receivers' detection containers, by up-weighting overlapping areas between receivers that detected the transmission and down-weighting overlapping areas between receivers that did not detect the transmission (see Details in acs_setup_detection_kernels). Note that the timing of detections is affected by step (see Details).

    + + +
    mobility
    +

    A number that defines the (Euclidean) distance (m) that an individual could move in the time steps between sequential detections (see also acs_setup_containers).

    + + +
    normalise
    +

    A logical variable that defines whether or not to normalise the map of possible locations at each time step. (The cumulative surface can be normalised via acdc_simplify).

    + + +
    save_record_spatial
    +

    An integer vector that defines the time steps for which to save a record of the spatial information from each time step. save_record_spatial = 0L suppresses the return of this information and save_record_spatial = NULL returns this information for all time steps. If the algorithm is applied chunk-wise, this spatial information must be returned for at least the first time step (the default) to aggregate maps across chunks (see acdc_simplify). This information can also be used to plot time-specific results of the algorithm using acdc_plot_trace, acdc_plot_record and acdc_animate_record.

    + + +
    write_record_spatial_for_pf
    +

    (optional) A named list, passed to writeRaster, to save the raster of the individual's possible positions at each time step to file. The `filename' argument should be the directory in which to save files. Files are named by acoustic and intermediate (archival) time steps. For example, the file for the first acoustic time step and the first archival time step is named acc_1_arc_1.

    + + +
    save_args
    +

    A logical input that defines whether or not to save the list of function inputs in the returned object.

    + + +
    verbose
    +

    A logical variable that defines whether or not to print messages to the console or to file to relay function progress. If con = "", messages are printed to the console (which is only supported if the algorithm is not implemented in parallel: see below); otherwise, they are written to file (see below).

    + + +
    con
    +

    If verbose = TRUE, con is character string that defines how messages relaying function progress are returned. If con = "", messages are printed to the console (unless redirected by sink), an approach that is only implemented if the function is not implemented in parallel. Otherwise, con defines the directory into which to write .txt files, into which messages are written to relay function progress. This approach, rather than printing to the console, is recommended for clarity, speed and debugging. If the algorithm is implemented step-wise, then a single file is written to the specified directory named acdc_log.txt. If the algorithm is implemented chunk-wise, then an additional file is written for each chunk (named dot_acdc_log_1.txt, dot_acdc_log_2.txt and so on), with the details for each chunk.

    + + +
    progress
    +

    (optional) If the algorithm is implemented step-wise, progress is an integer (1, 2 or 3) that defines whether or not to display a progress bar in the console as the algorithm moves over acoustic time steps (1), the archival time steps between each pair of acoustic detections (2) or both acoustic and archival time steps (3), in which case the overall acoustic progress bar is punctuated by an archival progress bar for each pair of acoustic detections. This option is useful if there is a large number of archival observations between acoustic detections. Any other input will suppress the progress bar. If the algorithm is implemented for chunks, inputs to progress are ignored and a single progress bar is shown of the progress across acoustic chunks.

    + + +
    split
    +

    A character string that defines the (approximate) time unit used to split acoustic time series into chunks (e.g., "12 hours"). If provided, this must be supported by cut.POSIXt (otherwise, a pre-defined list of acoustic time series can be passed to acoustics, e.g., specifying seasonal chunks). If split = NULL and a cluster has been specified (see cl) (and acoustics is a dataframe), then the acoustic time series is automatically split into chunks and the algorithm implemented for each chunk in parallel. In all cases, splitting is subject to the constraint that chunks must join at identical receiver pairs (i.e., the last receiver at which the individual was detected on one chunk must match the first receiver at which the individual was next detected at the start of the next chunk): in these specific scenarios, information does not need to transfer from one time step to the next.

    + + +
    cl, varlist
    +

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes to implement the algorithm in parallel. If supplied, the algorithm is implemented for each chunk in a list of acoustic time series, either (a) as supplied by the user (if acoustics is a list), (b) as defined by the input to split, or (c) as defined automatically from the number of nodes in the cluster if split = NULL. If cl is supplied, varlist may also be required. This is a character vector of objects to export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    + +
    +
    +

    Value

    + + +

    The function returns an acdc_archive-class object. If a connection to write files has also been specified, an overall log (acdc_log.txt) as well as chunk-specific logs from calls to .acs, if applicable, are written to file.

    +
    +
    +

    Details

    The acoustic-container (AC) algorithm is an approach which uses acoustic detections to infer the possible locations of tagged animals within an area over some time interval. The locational information provided by acoustic detections is represented by acoustic containers, which are areas around receivers that define where an individual could have been at each time point given the spatiotemporal pattern of detections at receivers, a model of detection probability and a movement parameter.

    In outline, the crux of the approach is the recognition that acoustic detections typically occur irregularly, but we can consider a sequence of regular time steps between any pair of detections. Each detection anchors our knowledge of the location of an individual around a particular receiver (assuming that all detections are true detections). As time passes between pairs of detections, our uncertainty in the geographical location of an individual expands around the receiver at which the individual was detected before shrinking towards the receiver at which it was next detected. The dynamics of this process are captured by the expansion, contraction and intersection of pairs of acoustic containers.

    More specifically, at each time step, we can consider the set of possible locations for the individual from perspective of (a) the receiver at which the individual was detected and (b) the receiver at which the individual is next detected. When an individual is detected, it must be within some radius---say 800 m---of that receiver termed the `detection container'. From the perspective of the receiver at which the individual is next detected, the set of possible locations of the individual is wider in line with the time between detections and the movement speed of the animal. The intersection of these two areas defines the set of possible locations for the individual. (In most cases, this is simply that defined by the detection container around the first receiver.) With a more-refined model of detection probability, it may be possible to predict more precisely where the individual is likely to have been within this area. (In situations with depth data, the ACDC algorithm further restricts the set of locations by incorporating information on the animal's depth via depth contours.) Moving forward in time, we can consider a number of regular time steps before the next detection. During this time, from the perspective of the receiver at which the individual was detected, the set of possible locations of the individual expands, because it could have moved further away from the receiver; meanwhile, from the perspective of the receiver at which the individual was next detected, the set of possible locations of the individual shrinks, as the individual must have been located within the detection container of that receiver by the time of the detection. This process is described by the expansion and contraction of `acoustic containers'. At each time step, the intersection of the two containers defines the set of possible locations of the individual, possibly weighted by a detection probability (given the lack of detections during this time). These dynamics recognise that as time passes between detections the individual could have moved away from the receiver at which it was last detected but only at a rate and in a direction that fits with the receiver at which the individual was next detected. Thus, when the individual is detected again, our uncertainty about where it could have been collapses to the detection container around the next receiver (and its intersection with the individual's previous (expanded) location and the acoustic container around the following receiver), possibly weighted by a model of detection probability. Throughout this process, the rate of change in container size depends a movement parameter that describes the maximum swimming speed.

    This discussion assumes that the timing of detections and intermediate time steps between detections are perfectly aligned. In reality, there is likely to be a mismatch between the timing of detections and the intermediate time steps between detections, which may be poorly approximated the constant expansion and contraction of acoustic containers. The simplest solution to this issue is to round the acoustic time steps to the resolution of the intermediate time steps (specified by step). This results in a small loss of precision, but assuming that step is relatively small, the effect should be negligible. In any case, clocks on different receivers are unlikely to be perfectly synced throughout a study. This solution is also computationally preferable to an alternative approach in which the expansion and contraction of containers varies through time, depending on the gaps between observations and other time-specific variables such as behavioural state. However, the latter approach may be implemented in due course.

    -

    The end result is a map that shows the expected time spent in different parts of a study area. The main limitation of this approach is the simple treatment of movement, but particle filtering can be used to extent this approach via the incorporate a movement model (see pf).

    -

    See also

    - -

    This function calls .acs_pl and .acs to implement the AC algorithm. acs_setup_containers defines the detection containers required by this function. acs_setup_mobility is used to examine the assumption of the constant `mobility' parameter. acs_setup_detection_kernels produces detection probability kernels for incorporation into the function. acdc_simplify simplifies the outputs and acdc_plot_trace, acdc_plot_record and acdc_animate_record visualise the results. The AC algorithm can be extended to incorporate depth contours via acdc. Particle filtering can be used to reconstruct movement path via pf.

    -

    Author

    - +

    The end result is a map that shows the expected time spent in different parts of a study area. The main limitation of this approach is the simple treatment of movement, but particle filtering can be used to extent this approach via the incorporate a movement model (see pf).

    +
    +
    +

    See also

    +

    This function calls .acs_pl and .acs to implement the AC algorithm. acs_setup_containers defines the detection containers required by this function. acs_setup_mobility is used to examine the assumption of the constant `mobility' parameter. acs_setup_detection_kernels produces detection probability kernels for incorporation into the function. acdc_simplify simplifies the outputs and acdc_plot_trace, acdc_plot_record and acdc_animate_record visualise the results. The AC algorithm can be extended to incorporate depth contours via acdc. Particle filtering can be used to reconstruct movement path via pf.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Step (1) Implement setup_acdc_*() steps
-# ... Define detection containers required for AC algorithm (see setup_acdc_containers())
-
-#### Step (2) Prepare movement time series for algorithm
-# Focus on an example individual for speed
-id <- 25
-acc <- dat_acoustics[dat_acoustics$individual_id == id, ][1:25, ]
-# Process time series (if necessary)
-# ... Observations should be processed to the nearest time step
-# ... Duplicate detections should be dropped
-
-#### Example (1) Implement AC algorithm with default arguments
-# This implements the algorithm on a single core, printing messages
-# ... to the console to monitor function progress.
-out_ac <- ac(acoustics = acc,
-             step = 120,
-             bathy = dat_gebco,
-             detection_containers = dat_containers,
-             mobility = 200
-             )
-
    #> flapper::ac() called (@ 2022-06-17 09:52:33)...
    #> flapper::.acs_pl() called (@ 2022-06-17 09:52:33)... 
-#> ... Checking user inputs... 
-#> ... Processing movement time series... 
-#> ... Plotting movement time series (for each chunk)... 
    #> ... Calling .acs() to implement ACDC algorithm on one chunk... 
-#> flapper::.acs() called (@ 2022-06-17 09:52:36)... 
-#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
-#> ... On acoustic time step ('timestep_detection') 1. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |===                                                                   |   4%... On acoustic time step ('timestep_detection') 2. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |======                                                                |   8%... On acoustic time step ('timestep_detection') 3. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |=========                                                             |  12%... On acoustic time step ('timestep_detection') 4. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |============                                                          |  17%... On acoustic time step ('timestep_detection') 5. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |===============                                                       |  21%... On acoustic time step ('timestep_detection') 6. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |==================                                                    |  25%... On acoustic time step ('timestep_detection') 7. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |====================                                                  |  29%... On acoustic time step ('timestep_detection') 8. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=======================                                               |  33%... On acoustic time step ('timestep_detection') 9. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |==========================                                            |  38%... On acoustic time step ('timestep_detection') 10. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=============================                                         |  42%... On acoustic time step ('timestep_detection') 11. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |================================                                      |  46%... On acoustic time step ('timestep_detection') 12. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |===================================                                   |  50%... On acoustic time step ('timestep_detection') 13. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 14. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 15. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |============================================                          |  62%... On acoustic time step ('timestep_detection') 16. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is constant ... 
-#> 
  |                                                                            
  |===============================================                       |  67%... On acoustic time step ('timestep_detection') 17. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |==================================================                    |  71%... On acoustic time step ('timestep_detection') 18. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... On internal time step ('timestep_archival') 4. 
-#> ... ... On internal time step ('timestep_archival') 5. 
-#> ... ... On internal time step ('timestep_archival') 6. 
-#> ... ... On internal time step ('timestep_archival') 7. 
-#> ... ... On internal time step ('timestep_archival') 8. 
-#> ... ... On internal time step ('timestep_archival') 9. 
-#> ... ... On internal time step ('timestep_archival') 10. 
-#> 
  |                                                                            
  |====================================================                  |  75%... On acoustic time step ('timestep_detection') 19. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=======================================================               |  79%... On acoustic time step ('timestep_detection') 20. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |==========================================================            |  83%... On acoustic time step ('timestep_detection') 21. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=============================================================         |  88%... On acoustic time step ('timestep_detection') 22. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |================================================================      |  92%... On acoustic time step ('timestep_detection') 23. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 24. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |======================================================================| 100%
-#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
-#> ... flapper::.acs() call completed (@ 2022-06-17 09:52:38) after ~0.02 minutes. 
-#> ... flapper::.acs_pl() call completed (@ 2022-06-17 09:52:39) after ~0.09 minutes. 
    #> flapper::ac() finished (@ 2022-06-17 09:52:39)...
    
-#### Subsequent examples follow the implementation given in acdc().
-
-
    +
    +

    Examples

    + 
    #### Step (1) Implement setup_acdc_*() steps
+# ... Define detection containers required for AC algorithm (see setup_acdc_containers())
+
+#### Step (2) Prepare movement time series for algorithm
+# Focus on an example individual for speed
+id <- 25
+acc <- dat_acoustics[dat_acoustics$individual_id == id, ][1:25, ]
+# Process time series (if necessary)
+# ... Observations should be processed to the nearest time step
+# ... Duplicate detections should be dropped
+
+#### Example (1) Implement AC algorithm with default arguments
+# This implements the algorithm on a single core, printing messages
+# ... to the console to monitor function progress.
+out_ac <- ac(acoustics = acc,
+             step = 120,
+             bathy = dat_gebco,
+             detection_containers = dat_containers,
+             mobility = 200
+             )
+#> flapper::ac() called (@ 2023-02-19 14:45:22)...
+#> flapper::.acs_pl() called (@ 2023-02-19 14:45:22)... 
+#> ... Checking user inputs... 
+#> ... Processing movement time series... 
+#> ... Plotting movement time series (for each chunk)... 
+#> ... Calling .acs() to implement ACDC algorithm on one chunk... 
+#> flapper::.acs() called (@ 2023-02-19 14:45:26)... 
+#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
+#> ... On acoustic time step ('timestep_detection') 1. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===                                                                   |   4%... On acoustic time step ('timestep_detection') 2. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   8%... On acoustic time step ('timestep_detection') 3. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=========                                                             |  12%... On acoustic time step ('timestep_detection') 4. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============                                                          |  17%... On acoustic time step ('timestep_detection') 5. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  21%... On acoustic time step ('timestep_detection') 6. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================                                                    |  25%... On acoustic time step ('timestep_detection') 7. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====================                                                  |  29%... On acoustic time step ('timestep_detection') 8. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================                                               |  33%... On acoustic time step ('timestep_detection') 9. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  38%... On acoustic time step ('timestep_detection') 10. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================                                         |  42%... On acoustic time step ('timestep_detection') 11. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================================                                      |  46%... On acoustic time step ('timestep_detection') 12. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================                                   |  50%... On acoustic time step ('timestep_detection') 13. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 14. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 15. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  62%... On acoustic time step ('timestep_detection') 16. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |===============================================                       |  67%... On acoustic time step ('timestep_detection') 17. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================================                    |  71%... On acoustic time step ('timestep_detection') 18. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================                  |  75%... On acoustic time step ('timestep_detection') 19. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=======================================================               |  79%... On acoustic time step ('timestep_detection') 20. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==========================================================            |  83%... On acoustic time step ('timestep_detection') 21. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============================================================         |  88%... On acoustic time step ('timestep_detection') 22. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  92%... On acoustic time step ('timestep_detection') 23. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 24. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================================================================| 100%
+#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
+#> ... flapper::.acs() call completed (@ 2023-02-19 14:45:27) after ~0.02 minutes. 
+#> ... flapper::.acs_pl() call completed (@ 2023-02-19 14:45:28) after ~0.09 minutes. 
+#> flapper::ac() finished (@ 2023-02-19 14:45:28)...
+
+
+#### Subsequent examples follow the implementation given in acdc().
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/acdc-1.png b/docs/reference/acdc-1.png index a444986..ab35293 100644 Binary files a/docs/reference/acdc-1.png and b/docs/reference/acdc-1.png differ diff --git a/docs/reference/acdc-2.png b/docs/reference/acdc-2.png index 58364d8..d0b0e5b 100644 Binary files a/docs/reference/acdc-2.png and b/docs/reference/acdc-2.png differ diff --git a/docs/reference/acdc-3.png b/docs/reference/acdc-3.png index 463ae6d..fd69595 100644 Binary files a/docs/reference/acdc-3.png and b/docs/reference/acdc-3.png differ diff --git a/docs/reference/acdc-4.png b/docs/reference/acdc-4.png index d6453f0..05f53e7 100644 Binary files a/docs/reference/acdc-4.png and b/docs/reference/acdc-4.png differ diff --git a/docs/reference/acdc-5.png b/docs/reference/acdc-5.png index 9699100..5ea7374 100644 Binary files a/docs/reference/acdc-5.png and b/docs/reference/acdc-5.png differ diff --git a/docs/reference/acdc-6.png b/docs/reference/acdc-6.png index a57b1b0..0e4baa3 100644 Binary files a/docs/reference/acdc-6.png and b/docs/reference/acdc-6.png differ diff --git a/docs/reference/acdc-7.png b/docs/reference/acdc-7.png index d9b083f..3b1b204 100644 Binary files a/docs/reference/acdc-7.png and b/docs/reference/acdc-7.png differ diff --git a/docs/reference/acdc.html b/docs/reference/acdc.html index f517c78..02bcf41 100644 --- a/docs/reference/acdc.html +++ b/docs/reference/acdc.html @@ -1,67 +1,12 @@ - - - - - - - -The acoustic-container depth-contour (ACDC) algorithm — acdc • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -The acoustic-container depth-contour (ACDC) algorithm — acdc • flapper - - + + - - -
    -
    - -
    - -
    +

    The acoustic-container depth-contour (ACDC) algorithm

    - Source: R/acdc.R + Source: R/acdc.R
    -

    This function implements the acoustic-container depth-contour (ACDC) algorithm. This is an extension of the AC algorithm implemented by ac that that integrates acoustic detections and depth observations to the expected time spent in different parts of a study area over the period of observations. To implement the function, a dataframe (or list) of passive acoustic telemetry detections is required (acoustics), alongside a dataframe of depth observations (archival). At each time step, the algorithm integrates information from past and future acoustic detections in the form of acoustic containers and information from depth observations in the form of depth contours to determine the possible locations of an individual in an area (see Details). As for the AC algorithm (ac), the function can be implemented step-wise or chunk-wise and the outputs can be processed via acdc_simplify.

    +

    This function implements the acoustic-container depth-contour (ACDC) algorithm. This is an extension of the AC algorithm implemented by ac that that integrates acoustic detections and depth observations to the expected time spent in different parts of a study area over the period of observations. To implement the function, a dataframe (or list) of passive acoustic telemetry detections is required (acoustics), alongside a dataframe of depth observations (archival). At each time step, the algorithm integrates information from past and future acoustic detections in the form of acoustic containers and information from depth observations in the form of depth contours to determine the possible locations of an individual in an area (see Details). As for the AC algorithm (ac), the function can be implemented step-wise or chunk-wise and the outputs can be processed via acdc_simplify.

    - 
    acdc(
-  acoustics,
-  archival,
-  plot_ts = TRUE,
-  bathy,
-  detection_containers,
-  detection_kernels = NULL,
-  detection_kernels_overlap = NULL,
-  detection_time_window = 5,
-  mobility,
-  calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
-  normalise = TRUE,
-  save_record_spatial = 1L,
-  write_record_spatial_for_pf = NULL,
-  save_args = TRUE,
-  verbose = TRUE,
-  con = "",
-  progress = 1L,
-  split = NULL,
-  cl = NULL,
-  varlist = NULL
-)
    +
    + 
    acdc(
+  acoustics,
+  archival,
+  plot_ts = TRUE,
+  bathy,
+  detection_containers,
+  detection_kernels = NULL,
+  detection_kernels_overlap = NULL,
+  detection_time_window = 5,
+  mobility,
+  calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
+  normalise = TRUE,
+  save_record_spatial = 1L,
+  write_record_spatial_for_pf = NULL,
+  save_args = TRUE,
+  verbose = TRUE,
+  con = "",
+  progress = 1L,
+  split = NULL,
+  cl = NULL,
+  varlist = NULL
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    acoustics

    A dataframe, or a list of dataframes, that contains passive acoustic telemetry detection time series (see ac).

    archival

    A dataframe that contains depth time series (see dat_archival for an example) for a specific individual. This should contain the following columns: a numeric vector of observed depths, named `depth'; and a POSIXct vector of time stamps when observations were made, named `timestamp'. Depths should be recorded in the same units and with the same sign as the bathymetry data (see bathy). Absolute depths (m) are suggested. Unlike the detection time series, archival time stamps are assumed to have occurred at regular intervals. Both acoustic and archival time series are rounded to the resolution of archival observations to ensure alignment (see Details). `Duplicate' observations (of the same individual at the same receiver, if applicable, in the same time step) are dropped.

    plot_ts

    A logical input that defines whether or not to plot the detection and depth time series before the algorithm is initiated. This provides a useful visualisation of the extent to which they overlap.

    bathy

    A raster that defines the bathymetry across the area within which the individual could have moved. This must be recorded in the same units and with the same sign as the depth observations (see archival). The coordinate reference system should be the Universal Transverse Mercator system, with distances in metres (see also acs_setup_containers).

    detection_containers

    A list of detection containers, with one element for each number from 1:max(acoustics$receiver_id), from acs_setup_containers.

    detection_kernels

    A named list of detection probability kernels (see ac).

    detection_kernels_overlap

    (optional) A named list of detection probability kernel overlaps (see ac).

    detection_time_window

    A number that defines the detection time window (see ac).

    mobility

    The mobility parameter (see ac).

    calc_depth_error

    A function that returns the depth errors around a vector of depths. The function should accept vector of depths (from archival$depth) and return a matrix, with one row for each (lower and upper) error and one one column for each depth (if the error varies with depth). For each depth, the two numbers are added to the observed depth to define the range of depths on the bathymetry raster (bathy) that the individual could plausibly have occupied at any time. Since the depth errors are added to the individual's depth, the first number should be negative (i.e., the individual could have been shallower that observed) and the second positive (i.e., the individual could have been deeper than observed). The appropriate form for calc_depth_error depends on the species (pelagic versus demersal/benthic species), the measurement error for the depth observations in archival and bathymetry (bathy) data, as well as the tidal range (m) across the area (over the duration of observations). For example, for a pelagic species, the constant function calc_depth_error = function(...) matrix(c(-2.5, Inf) implies that the individual could have occupied bathymetric cells that are deeper than the observed depth + (-2.5) m and shallower than Inf m (i.e. the individual could have been in any location in which the depth was deeper than the shallow depth limit for the individual). In contrast, for a benthic species, the constant function calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2) implies that the individual could have occupied bathymetric cells whose depth lies within the interval defined by the observed depth + (-2.5) and + (+2.5) m.

    normalise

    A logical input that defines whether or not to normalise maps (see ac).

    save_record_spatial

    An integer of the spatial layers to save (see ac).

    write_record_spatial_for_pf

    A named list used to write time step-specific maps to file (see ac).

    save_args

    A logical input that defines whether or not to save the list of function inputs (see ac).

    verbose

    A logical variable that defines whether or not to print messages to the console or to file to relay function progress (see ac).

    con

    If verbose = TRUE, con is character string defines how messages relaying function progress are returned (see ac).

    progress

    An integer controlling the progress bar (see ac).

    split

    A character string that defines the time unit used to split acoustic time series into chunks (see ac).

    cl, varlist

    (optional) Parallelisation options (see ac).

    +
    +

    Arguments

    +
    acoustics
    +

    A dataframe, or a list of dataframes, that contains passive acoustic telemetry detection time series (see ac).

    -

    Value

    -

    The function returns an acdc_archive-class object. If a connection to write files has also been specified, an overall log (acdc_log.txt) as well as chunk-specific logs from calls to .acs, if applicable, are written to file.

    -

    Details

    +
    archival
    +

    A dataframe that contains depth time series (see dat_archival for an example) for a specific individual. This should contain the following columns: a numeric vector of observed depths, named `depth'; and a POSIXct vector of time stamps when observations were made, named `timestamp'. Depths should be recorded in the same units and with the same sign as the bathymetry data (see bathy). Absolute depths (m) are suggested. Unlike the detection time series, archival time stamps are assumed to have occurred at regular intervals. Both acoustic and archival time series are rounded to the resolution of archival observations to ensure alignment (see Details). `Duplicate' observations (of the same individual at the same receiver, if applicable, in the same time step) are dropped.

    -

    The acoustic-container depth-contour (ACDC) algorithm is an approach which integrates acoustic detections and depth observations to infer the possible locations of tagged animals within an area over some time interval. The locational information provided by acoustic detections is represented by acoustic containers, which are areas around receivers that define where an individual could have been at each time point given the spatiotemporal pattern of detections at receivers, a model of detection probability and a movement parameter (see ac). The locational information provided by depth observations is represented by depth contours, which are areas that define where an individual could have been at each time point given its depth and the local bathymetry (see dc).

    -

    In outline, the crux of the approach is the recognition that acoustic detections typically occur irregularly, while archival observations occur at regular intervals. Each detection anchors our knowledge of the location of an individual around a particular receiver (assuming that all detections are true detections). As time passes between acoustic detections, our uncertainty about the geographical location of an individual expands around the receiver at which it was detected before shrinking towards the receiver at which it was next detected. (This is the AC algorithm.) During this time, regular depth observations restrict the number of possible locations in which the individual could have been located at each time step, assuming that the bathymetric landscape is non-homogeneous. This is true both for pelagic species, which must be in an area where the depth of the seabed is at least as deep as the observed depth, and for benthic/demersal species, which must be in an area where the depth of the seabed is relatively close to the observed depth. (This is the DC algorithm.) In reality, the timing of acoustic and archival observations may not align perfectly; this is currently resolved by rounding the acoustic time series to the temporal resolution of depth observations (see also ac). In this way, the ACDC algorithm moves over acoustic and archival time steps, summing the positions in which individuals could have been located based on these two sources of data, to generate a map of that shows expected time spent in different parts of the study area over the time interval under consideration.

    -

    See also

    -

    This function calls .acs_pl and .acs to implement the ACDC algorithm. The AC component can be implemented via ac and the DC component via dc. acs_setup_containers defines the detection containers required by this function. acs_setup_mobility is used to examine the assumption of the constant `mobility' parameter. acs_setup_detection_kernels produces detection probability kernels for incorporation into the function. acdc_simplify simplifies the outputs and acdc_plot_trace, acdc_plot_record and acdc_animate_record visualise the results. Particle filtering can be used to reconstruct movement paths.

    -

    Author

    +
    plot_ts
    +

    A logical input that defines whether or not to plot the detection and depth time series before the algorithm is initiated. This provides a useful visualisation of the extent to which they overlap.

    + + +
    bathy
    +

    A raster that defines the bathymetry across the area within which the individual could have moved. This must be recorded in the same units and with the same sign as the depth observations (see archival). The coordinate reference system should be the Universal Transverse Mercator system, with distances in metres (see also acs_setup_containers).

    -

    Edward Lavender

    -

    Examples

    - 
    #### Step (1) Implement setup_acdc_*() steps
-# ... Define detection containers required for ACDC algorithm (see setup_acdc_containers())
+
    detection_containers
    
+
    A list of detection containers, with one element for each number from 1:max(acoustics$receiver_id), from acs_setup_containers.
    
 
-#### Step (2) Prepare movement time series for algorithm
-# Focus on an example individual
-id <- 25
-acc <- dat_acoustics[dat_acoustics$individual_id == id, ]
-arc <- dat_archival[dat_archival$individual_id == id, ]
-# Focus on the subset of data for which we have both acoustic and archival detections
-acc <- acc[acc$timestamp >= min(arc$timestamp) - 2*60 &
-             acc$timestamp <= max(arc$timestamp) + 2*60, ]
-arc <- arc[arc$timestamp >= min(acc$timestamp) - 2*60 &
-             arc$timestamp <= max(acc$timestamp) + 2*60, ]
-# We'll focus on a one day period with overlapping detection/depth time series for speed
-end <- as.POSIXct("2016-03-18")
-acc <- acc[acc$timestamp <= end, ]
-arc <- arc[arc$timestamp <= end, ]
-arc <- arc[arc$timestamp >= min(acc$timestamp) - 2*60 &
-             arc$timestamp <= max(acc$timestamp) + 2*60, ]
-# Process time series (if necessary)
-# ... Observations should be processed to the nearest time step
-# ... Duplicate detections should be dropped
 
-#### Example (1) Implement ACDC algorithm with default arguments
-# This implements the algorithm on a single core, printing messages
-# ... to the console to monitor function progress.
-out_acdc <- acdc(acoustics = acc,
-                 archival = arc,
-                 bathy = dat_gebco,
-                 detection_containers = dat_containers,
-                 mobility = 200,
-                 calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2)
-                 )
-
    #> flapper::acdc() called (@ 2022-06-17 09:52:39)...
    #> flapper::.acs_pl() called (@ 2022-06-17 09:52:39)... 
-#> ... Checking user inputs... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> ... Processing movement time series... 
-#> ... Plotting movement time series (for each chunk)... 
    #> ... Calling .acs() to implement ACDC algorithm on one chunk... 
-#> flapper::.acs() called (@ 2022-06-17 09:52:39)... 
-#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
-#> ... On acoustic time step ('timestep_detection') 1. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=                                                                     |   1%... On acoustic time step ('timestep_detection') 2. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=                                                                     |   2%... On acoustic time step ('timestep_detection') 3. 
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-#> 
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  |==                                                                    |   3%... On acoustic time step ('timestep_detection') 4. 
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  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 65. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 66. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 67. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 68. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 69. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 70. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 71. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 72. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 73. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 74. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 75. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 76. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 77. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 78. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 79. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 80. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 81. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 82. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 83. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 84. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 85. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 86. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 87. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 88. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |============================================================          |  86%... On acoustic time step ('timestep_detection') 88. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |==============================================================        |  88%... On acoustic time step ('timestep_detection') 90. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |==============================================================        |  89%... On acoustic time step ('timestep_detection') 91. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |===============================================================       |  90%... On acoustic time step ('timestep_detection') 92. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |================================================================      |  91%... On acoustic time step ('timestep_detection') 93. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |===================================================================   |  95%... On acoustic time step ('timestep_detection') 97. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 98. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |===================================================================== |  98%... On acoustic time step ('timestep_detection') 100. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |===================================================================== |  99%... On acoustic time step ('timestep_detection') 101. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |======================================================================| 100%
-#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
-#> ... flapper::.acs() call completed (@ 2022-06-17 09:52:47) after ~0.13 minutes. 
-#> ... flapper::.acs_pl() call completed (@ 2022-06-17 09:52:47) after ~0.13 minutes. 
    #> flapper::acdc() finished (@ 2022-06-17 09:52:47)...
    # The function returns a list with four elements
-# ... archive contains the results of the algorithm, implemented by the back-end
-# ... function .acs(). The other elements provide the time series
-# ... for each chunk, the time of the algorithm and a list of user inputs
-summary(out_acdc)
-
    #>             Length Class      Mode
-#> archive      1     -none-     list
-#> ts_by_chunk  1     -none-     list
-#> time         4     data.frame list
-#> args        19     -none-     list
    
-#### Example (2): Write messages to file to monitor function progress via 'con'
-out_acdc <- acdc(acoustics = acc,
-                 archival = arc,
-                 bathy = dat_gebco,
-                 detection_containers = dat_containers,
-                 mobility = 200,
-                 calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
-                 con = tempdir()
-                 )
-
    #> flapper::acdc() called (@ 2022-06-17 09:52:47)...
    #> '/' added to the directory inputted to the argument 'con' ('/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA').
    #> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/acdc_log.txt does not exist: attempting to write file in specified directory...
    #> ... Blank file successfully written to file.
    #> 'calc_depth_error' function taken to be independent of depth.
    #> 
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    #> flapper::acdc() finished (@ 2022-06-17 09:52:54)...
    acdc_log <- readLines(paste0(tempdir(), "/acdc_log.txt"))
-utils::head(acdc_log, 10)
-
    #>  [1] "flapper::.acs_pl() called (@ 2022-06-17 09:52:47)... "                                  
-#>  [2] "... Checking user inputs... "                                                           
-#>  [3] "... Processing movement time series... "                                                
-#>  [4] "... Plotting movement time series (for each chunk)... "                                 
-#>  [5] "... Calling .acs() to implement ACDC algorithm on one chunk... "                        
-#>  [6] "flapper::.acs() called (@ 2022-06-17 09:52:47)... "                                     
-#>  [7] "... Initiating algorithm: moving over acoustic and internal ('archival') time steps... "
-#>  [8] "... On acoustic time step ('timestep_detection') 1. "                                   
-#>  [9] "... ... On internal time step ('timestep_archival') 1. "                                
-#> [10] "... On acoustic time step ('timestep_detection') 2. "                                   
    file.remove(paste0(tempdir(), "/acdc_log.txt"))
-
    #> [1] TRUE
    
-#### Example (3): Implement the algorithm and return spatial information
-# Specify save_record_spatial = NULL to include spatial information for all time steps
-# ... or a vector to include this information for specific time steps
-out_acdc <- acdc(acoustics = acc,
-                 archival = arc,
-                 bathy = dat_gebco,
-                 detection_containers = dat_containers,
-                 mobility = 200,
-                 calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
-                 save_record_spatial = NULL
-                 )
-
    #> flapper::acdc() called (@ 2022-06-17 09:52:54)...
    #> flapper::.acs_pl() called (@ 2022-06-17 09:52:54)... 
-#> ... Checking user inputs... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> ... Processing movement time series... 
-#> ... Plotting movement time series (for each chunk)... 
    #> ... Calling .acs() to implement ACDC algorithm on one chunk... 
-#> flapper::.acs() called (@ 2022-06-17 09:52:54)... 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> 
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-#> ... ... ... Acoustic container is constant ... 
-#> 
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-#> 
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-#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> 
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-#> 
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-#> 
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-#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
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  |======================================================================| 100%
-#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
-#> ... flapper::.acs() call completed (@ 2022-06-17 09:53:03) after ~0.14 minutes. 
-#> ... flapper::.acs_pl() call completed (@ 2022-06-17 09:53:03) after ~0.14 minutes. 
    #> flapper::acdc() finished (@ 2022-06-17 09:53:03)...
    
-#### Example (4): Implement the algorithm in parallel e.g. by supplying a cluster
-# If verbose = TRUE (the default), it is necessary to specify a directory
-# ... into which dot_acdc_log_*.txt files are saved (i.e., messages
-# ... cannot be written to the console in parallel)
-out_acdc <- acdc(acoustics = acc,
-                 archival = arc,
-                 bathy = dat_gebco,
-                 detection_containers = dat_containers,
-                 mobility = 200,
-                 calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
-                 con = tempdir(),
-                 cl = parallel::makeCluster(2L)
-                 )
-
    #> flapper::acdc() called (@ 2022-06-17 09:53:03)...
    #> '/' added to the directory inputted to the argument 'con' ('/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA').
    #> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/acdc_log.txt does not exist: attempting to write file in specified directory...
    #> ... Blank file successfully written to file.
    #> 'calc_depth_error' function taken to be independent of depth.
    #> 'acoustics' dataframe split into 2 chunks of ~4 (0--7) hours across 2 core(s).
    #> Chunk 1 : 6 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
    #> Chunk 2 : 210 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
    #> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/dot_acdc_log_1.txt does not exist: attempting to write file in specified directory...
    #> ... Blank file successfully written to file.
    #> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/dot_acdc_log_2.txt does not exist: attempting to write file in specified directory...
    #> ... Blank file successfully written to file.
    #> flapper::acdc() finished (@ 2022-06-17 09:53:16)...
    ## Check logs
-list.files(tempdir())
-
    #> [1] "acdc_log.txt"       "dot_acdc_log_1.txt" "dot_acdc_log_2.txt"
-#> [4] "downlit"            "filef601236c7a3"    "filef6021d8f5cf"   
-#> [7] "filef602786f553.so"
    # "acdc_log.txt" contains the log for the overall function
-acdc_log <- readLines(paste0(tempdir(), "/acdc_log.txt"))
-head(acdc_log, 20)
-
    #>  [1] "flapper::.acs_pl() called (@ 2022-06-17 09:53:03)... "                                                                                                      
-#>  [2] "... Checking user inputs... "                                                                                                                               
-#>  [3] "... Splitting 'acoustics' into chunks... "                                                                                                                  
-#>  [4] "... Processing acoustics chunks... "                                                                                                                        
-#>  [5] "... ... Checking for NULL/empty chunks... "                                                                                                                 
-#>  [6] "... ... Overlapping chunks... "                                                                                                                             
-#>  [7] "... Processing movement time series... "                                                                                                                    
-#>  [8] "... ... Chunk 1 : 6 archival observation(s) beyond the ranges of (processed) acoustic detections ignored. "                                                 
-#>  [9] "... ... Chunk 2 : 210 archival observation(s) beyond the ranges of (processed) acoustic detections ignored. "                                               
-#> [10] "... Plotting movement time series (for each chunk)... "                                                                                                     
-#> [11] "... Defining chunk-specific log files as dot_acdc_log_1.txt, dot_acdc_log_2.txt etc... "                                                                    
-#> [12] "... ... /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/dot_acdc_log_1.txt does not exist: attempting to write file in specified directory... "
-#> [13] "... ... ... Blank file successfully written to file. "                                                                                                      
-#> [14] "... ... /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/dot_acdc_log_2.txt does not exist: attempting to write file in specified directory... "
-#> [15] "... ... ... Blank file successfully written to file. "                                                                                                      
-#> [16] "... Calling .acs() to implement ACDC algorithm on 2 chunks, using 2 cores... "                                                                              
-#> [17] "... flapper::.acs_pl() call completed (@ 2022-06-17 09:53:16) after ~0.23 minutes. "                                                                        
    # "acdc_log_1.txt", "acdc_log_2.txt" etc contain chunk-specific logs
-acdc_log_1 <- readLines(paste0(tempdir(), "/dot_acdc_log_1.txt"))
-utils::head(acdc_log_1)
-
    #> [1] "flapper::.acs() called (@ 2022-06-17 09:53:04)... "                                     
-#> [2] "... Initiating algorithm: moving over acoustic and internal ('archival') time steps... "
-#> [3] "... On acoustic time step ('timestep_detection') 1. "                                   
-#> [4] "... ... On internal time step ('timestep_archival') 1. "                                
-#> [5] "... On acoustic time step ('timestep_detection') 2. "                                   
-#> [6] "... ... On internal time step ('timestep_archival') 1. "                                
    utils::tail(acdc_log_1)
-
    #> [1] "... On acoustic time step ('timestep_detection') 91. "                               
-#> [2] "... ... On internal time step ('timestep_archival') 1. "                             
-#> [3] "... ... On internal time step ('timestep_archival') 2. "                             
-#> [4] "... ... ... Acoustic container is expanding... "                                     
-#> [5] "... Movement over acoustic and internal ('archival') time steps has been completed. "
-#> [6] "... flapper::.acs() call completed (@ 2022-06-17 09:53:16) after ~0.19 minutes. "    
    ## Examine outputs
-# Note that there are now four elements in archive, one for each chunk
-# Likewise, there are four elements in ts_by_chunk,
-# ... containing the movement time series for each chunk.
-summary(out_acdc)
-
    #>             Length Class      Mode
-#> archive      2     -none-     list
-#> ts_by_chunk  2     -none-     list
-#> time         4     data.frame list
-#> args        19     -none-     list
    # Note that the last observation of each time series overlaps with the
-# ... first observation for the next chunk, to prevent loss of information
-lapply(out_acdc$ts_by_chunk,
-  function(chunk) chunk$acoustics[c(1, nrow(chunk$acoustics)), ])
-
    #> [[1]]
-#>    individual_id transmitter_id index           timestamp receiver_id
-#> 1             25   A69-1303-555     1 2016-03-17 01:50:00          26
-#> 92            25   A69-1303-555   138 2016-03-17 08:50:00          26
-#>       receiver receiver_long receiver_lat receiver_depth   dup split_permit
-#> 1  VR2W-108163     -5.610733     56.37628             25 FALSE        FALSE
-#> 92 VR2W-108163     -5.610733     56.37628             25 FALSE         TRUE
-#>                    bin timestamp_num
-#> 1  2016-03-17 01:00:00    1458179400
-#> 92 2016-03-17 05:00:00    1458204600
-#> 
-#> [[2]]
-#>     individual_id transmitter_id index           timestamp receiver_id
-#> 92             25   A69-1303-555   138 2016-03-17 08:50:00          26
-#> 102            25   A69-1303-555   154 2016-03-17 09:02:00          26
-#>        receiver receiver_long receiver_lat receiver_depth   dup split_permit
-#> 92  VR2W-108163     -5.610733     56.37628             25 FALSE         TRUE
-#> 102 VR2W-108163     -5.610733     56.37628             25 FALSE        FALSE
-#>                     bin timestamp_num
-#> 92  2016-03-17 05:00:00    1458204600
-#> 102 2016-03-17 09:00:00    1458205320
-#> 
    
-#### Example (5) Biologically meaningful chunks can be specified via
-# .. the 'split' argument or by passing a list of acoustic time series
-# .. already split by list of dataframes to 'acoustics'
-## Using the split argument:
-out_acdc <- acdc(acoustics = acc,
-                 archival = arc,
-                 bathy = dat_gebco,
-                 detection_containers = dat_containers,
-                 mobility = 200,
-                 calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
-                 con = tempdir(),
-                 cl = parallel::makeCluster(2L),
-                 split = "2 hours"
-                 )
-
    #> flapper::acdc() called (@ 2022-06-17 09:53:16)...
    #> '/' added to the directory inputted to the argument 'con' ('/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA').
    #> 'calc_depth_error' function taken to be independent of depth.
    #> 'acoustics' dataframe split into 3 chunks of ~1 (0--5) hours across 2 core(s).
    #> Chunk 1 : 171 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
    #> Chunk 2 : 51 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
    #> Chunk 3 : 210 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
    #> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/dot_acdc_log_3.txt does not exist: attempting to write file in specified directory...
    #> ... Blank file successfully written to file.
    #> flapper::acdc() finished (@ 2022-06-17 09:53:28)...
    ## Passing a list of dataframes
-# This option can provide more flexibility than split.
-# ... This example could also be used using split, as described above,
-# ... but this is not the case for all time categories (e.g., seasons).
-acc$chunk <- cut(acc$timestamp, "2 hours")
-acc_ls    <- split(acc, acc$chunk)
-out_acdc  <- acdc(acoustics = acc_ls,
-                  archival = arc,
-                  bathy = dat_gebco,
-                  detection_containers = dat_containers,
-                  mobility = 200,
-                  calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
-                  con = tempdir(),
-                  cl = parallel::makeCluster(2L)
-                  )
-
    #> flapper::acdc() called (@ 2022-06-17 09:53:28)...
    #> '/' added to the directory inputted to the argument 'con' ('/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA').
    #> 'calc_depth_error' function taken to be independent of depth.
    #> Chunk 1 : 181 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
    #> Chunk 2 : 156 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
    #> Chunk 3 : 108 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
    #> Chunk 4 : 204 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
    #> Chunk 5 : 215 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
    #> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/dot_acdc_log_4.txt does not exist: attempting to write file in specified directory...
    #> ... Blank file successfully written to file.
    #> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/dot_acdc_log_5.txt does not exist: attempting to write file in specified directory...
    #> ... Blank file successfully written to file.
    #> flapper::acdc() finished (@ 2022-06-17 09:53:38)...
    
-#### Example (5) Implement the algorithm for multiple individuals
-# ... To do this, it is necessary to apply the function iteratively
-# ... to each individual.
-# Pre-processing to define computation time
-# ... E.g., careful definition of time series
-if(flapper_run_slow){
-  # Define cluster
-  cluster <- FALSE
-  if(cluster){
-    cl <- parallel::makeCluster(2L)
-    parallel::clusterExport(cl = cl, varlist = c("acdc",
-                                                 "dat_archival",
-                                                 "dat_gebco",
-                                                 "dat_containers"
-                                                  ))
-  } else cl <- NULL
-  # Implement algorithm for each individual
-  acdc_out_by_id <-
-    pbapply::pblapply(split(dat_acoustics, dat_acoustics$individual_id), cl = cl, function(acc){
-      # Define individual-specific folder in which to save function logs
-      dir_global <- paste0(tempdir(), "/")
-      dir_id     <- paste0(dir_global, acc$individual_id[1], "/")
-      if(!dir.exists(dir_id)) dir.create(dir_id)
-      # Focus on a small sample of time series for speed
-      acc <- acc[1:3, ]
-      # Isolate archival data for individual
-      arc <- dat_archival[dat_archival$individual_id == acc$id[1], ]
-      # Implement algorithm
-      acdc_out <- acdc(acoustics = acc,
-                       archival = dat_archival,
-                       bathy = dat_gebco,
-                       detection_containers = dat_containers,
-                       mobility = 200,
-                       calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
-                       save_record_spatial = 1:10L,
-                       con = dir_id
-                       )
-      # Include logs in output
-      acdc_log <- lapply(list.files(dir_id, full.names = TRUE), readLines)
-      # Simplify the results at this stage or outside of this loop
-      # ... using acdc_simplify()
-      # Return results for specified individual
-      out <- list(acdc_id = acc$individual_id[1], acdc_out = acdc_out, acdc_log = acdc_log)
-      return(out)
-    })
-  if(!is.null(cl)) parallel::stopCluster(cl)
-  summary(acdc_out_by_id)
-}
-
    #> flapper::acdc() called (@ 2022-06-17 09:53:38)...
    #> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/25/acdc_log.txt does not exist: attempting to write file in specified directory...
    #> ... Blank file successfully written to file.
    #> 'calc_depth_error' function taken to be independent of depth.
    #> archival$timestamp rounded to the nearest 120 second(s).
    #> Duplicate observations in 'archival' identified and dropped.
    #> Chunk 1 : 774 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
    #> 
  |                                                                            
  |                                                                      |   0%
  |                                                                            
  |===================================                                   |  50%
  |                                                                            
  |======================================================================| 100%
    #> flapper::acdc() finished (@ 2022-06-17 09:53:39)...
    #> flapper::acdc() called (@ 2022-06-17 09:53:39)...
    #> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/28/acdc_log.txt does not exist: attempting to write file in specified directory...
    #> ... Blank file successfully written to file.
    #> 'calc_depth_error' function taken to be independent of depth.
    #> archival$timestamp rounded to the nearest 120 second(s).
    #> Duplicate observations in 'archival' identified and dropped.
    #> Chunk 1 : 7268 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
    #> 
  |                                                                            
  |                                                                      |   0%
  |                                                                            
  |===================================                                   |  50%
  |                                                                            
  |======================================================================| 100%
    #> flapper::acdc() finished (@ 2022-06-17 09:53:39)...
    #> flapper::acdc() called (@ 2022-06-17 09:53:39)...
    #> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/35/acdc_log.txt does not exist: attempting to write file in specified directory...
    #> ... Blank file successfully written to file.
    #> 'calc_depth_error' function taken to be independent of depth.
    #> archival$timestamp rounded to the nearest 120 second(s).
    #> Duplicate observations in 'archival' identified and dropped.
    #> Chunk 1 : 1961 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
    #> 
  |                                                                            
  |                                                                      |   0%
  |                                                                            
  |===================================                                   |  50%
  |                                                                            
  |======================================================================| 100%
    #> flapper::acdc() finished (@ 2022-06-17 09:58:01)...
    #>    Length Class  Mode
-#> 25 3      -none- list
-#> 28 3      -none- list
-#> 35 3      -none- list
    
-#### Step (3) Simplify the function outputs
-# This step aggregates information across chunks, which is necessary to
-# ... plot information aggregated across all chunks (see below).
+
    detection_kernels
    
+
    A named list of detection probability kernels (see ac).
    
 
-#### Step (4) Examine function outputs, e.g., via plotting
-# See acdc_plot_record() and acdc_animate_record() to visualise the results
-# ... (either for a specific chunk or aggregated across all chunks
-# ... using acdc_simplify() as described above).
 
-
    +
    detection_kernels_overlap
    +

    (optional) A named list of detection probability kernel overlaps (see ac).

    + + +
    detection_time_window
    +

    A number that defines the detection time window (see ac).

    + + +
    mobility
    +

    The mobility parameter (see ac).

    + + +
    calc_depth_error
    +

    A function that returns the depth errors around a vector of depths. The function should accept vector of depths (from archival$depth) and return a matrix, with one row for each (lower and upper) error and one one column for each depth (if the error varies with depth). For each depth, the two numbers are added to the observed depth to define the range of depths on the bathymetry raster (bathy) that the individual could plausibly have occupied at any time. Since the depth errors are added to the individual's depth, the first number should be negative (i.e., the individual could have been shallower that observed) and the second positive (i.e., the individual could have been deeper than observed). The appropriate form for calc_depth_error depends on the species (pelagic versus demersal/benthic species), the measurement error for the depth observations in archival and bathymetry (bathy) data, as well as the tidal range (m) across the area (over the duration of observations). For example, for a pelagic species, the constant function calc_depth_error = function(...) matrix(c(-2.5, Inf) implies that the individual could have occupied bathymetric cells that are deeper than the observed depth + (-2.5) m and shallower than Inf m (i.e. the individual could have been in any location in which the depth was deeper than the shallow depth limit for the individual). In contrast, for a benthic species, the constant function calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2) implies that the individual could have occupied bathymetric cells whose depth lies within the interval defined by the observed depth + (-2.5) and + (+2.5) m.

    + + +
    normalise
    +

    A logical input that defines whether or not to normalise maps (see ac).

    + + +
    save_record_spatial
    +

    An integer of the spatial layers to save (see ac).

    + + +
    write_record_spatial_for_pf
    +

    A named list used to write time step-specific maps to file (see ac).

    + + +
    save_args
    +

    A logical input that defines whether or not to save the list of function inputs (see ac).

    + + +
    verbose
    +

    A logical variable that defines whether or not to print messages to the console or to file to relay function progress (see ac).

    + + +
    con
    +

    If verbose = TRUE, con is character string defines how messages relaying function progress are returned (see ac).

    + + +
    progress
    +

    An integer controlling the progress bar (see ac).

    + + +
    split
    +

    A character string that defines the time unit used to split acoustic time series into chunks (see ac).

    + + +
    cl, varlist
    +

    (optional) Parallelisation options (see ac).

    + +
    +
    +

    Value

    + + +

    The function returns an acdc_archive-class object. If a connection to write files has also been specified, an overall log (acdc_log.txt) as well as chunk-specific logs from calls to .acs, if applicable, are written to file.

    +
    +
    +

    Details

    +

    The acoustic-container depth-contour (ACDC) algorithm is an approach which integrates acoustic detections and depth observations to infer the possible locations of tagged animals within an area over some time interval. The locational information provided by acoustic detections is represented by acoustic containers, which are areas around receivers that define where an individual could have been at each time point given the spatiotemporal pattern of detections at receivers, a model of detection probability and a movement parameter (see ac). The locational information provided by depth observations is represented by depth contours, which are areas that define where an individual could have been at each time point given its depth and the local bathymetry (see dc).

    +

    In outline, the crux of the approach is the recognition that acoustic detections typically occur irregularly, while archival observations occur at regular intervals. Each detection anchors our knowledge of the location of an individual around a particular receiver (assuming that all detections are true detections). As time passes between acoustic detections, our uncertainty about the geographical location of an individual expands around the receiver at which it was detected before shrinking towards the receiver at which it was next detected. (This is the AC algorithm.) During this time, regular depth observations restrict the number of possible locations in which the individual could have been located at each time step, assuming that the bathymetric landscape is non-homogeneous. This is true both for pelagic species, which must be in an area where the depth of the seabed is at least as deep as the observed depth, and for benthic/demersal species, which must be in an area where the depth of the seabed is relatively close to the observed depth. (This is the DC algorithm.) In reality, the timing of acoustic and archival observations may not align perfectly; this is currently resolved by rounding the acoustic time series to the temporal resolution of depth observations (see also ac). In this way, the ACDC algorithm moves over acoustic and archival time steps, summing the positions in which individuals could have been located based on these two sources of data, to generate a map of that shows expected time spent in different parts of the study area over the time interval under consideration.

    +
    +
    +

    See also

    +

    This function calls .acs_pl and .acs to implement the ACDC algorithm. The AC component can be implemented via ac and the DC component via dc. acs_setup_containers defines the detection containers required by this function. acs_setup_mobility is used to examine the assumption of the constant `mobility' parameter. acs_setup_detection_kernels produces detection probability kernels for incorporation into the function. acdc_simplify simplifies the outputs and acdc_plot_trace, acdc_plot_record and acdc_animate_record visualise the results. Particle filtering can be used to reconstruct movement paths.

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    + +
    +

    Examples

    + 
    #### Step (1) Implement setup_acdc_*() steps
+# ... Define detection containers required for ACDC algorithm (see setup_acdc_containers())
+
+#### Step (2) Prepare movement time series for algorithm
+# Focus on an example individual
+id <- 25
+acc <- dat_acoustics[dat_acoustics$individual_id == id, ]
+arc <- dat_archival[dat_archival$individual_id == id, ]
+# Focus on the subset of data for which we have both acoustic and archival detections
+acc <- acc[acc$timestamp >= min(arc$timestamp) - 2*60 &
+             acc$timestamp <= max(arc$timestamp) + 2*60, ]
+arc <- arc[arc$timestamp >= min(acc$timestamp) - 2*60 &
+             arc$timestamp <= max(acc$timestamp) + 2*60, ]
+# We'll focus on a one day period with overlapping detection/depth time series for speed
+end <- as.POSIXct("2016-03-18")
+acc <- acc[acc$timestamp <= end, ]
+arc <- arc[arc$timestamp <= end, ]
+arc <- arc[arc$timestamp >= min(acc$timestamp) - 2*60 &
+             arc$timestamp <= max(acc$timestamp) + 2*60, ]
+# Process time series (if necessary)
+# ... Observations should be processed to the nearest time step
+# ... Duplicate detections should be dropped
+
+#### Example (1) Implement ACDC algorithm with default arguments
+# This implements the algorithm on a single core, printing messages
+# ... to the console to monitor function progress.
+out_acdc <- acdc(acoustics = acc,
+                 archival = arc,
+                 bathy = dat_gebco,
+                 detection_containers = dat_containers,
+                 mobility = 200,
+                 calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2)
+                 )
+#> flapper::acdc() called (@ 2023-02-19 14:45:30)...
+#> flapper::.acs_pl() called (@ 2023-02-19 14:45:30)... 
+#> ... Checking user inputs... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> ... Processing movement time series... 
+#> ... Plotting movement time series (for each chunk)... 
+#> ... Calling .acs() to implement ACDC algorithm on one chunk... 
+#> flapper::.acs() called (@ 2023-02-19 14:45:30)... 
+#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
+#> ... On acoustic time step ('timestep_detection') 1. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   1%... On acoustic time step ('timestep_detection') 2. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   2%... On acoustic time step ('timestep_detection') 3. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==                                                                    |   3%... On acoustic time step ('timestep_detection') 4. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===                                                                   |   4%... On acoustic time step ('timestep_detection') 5. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===                                                                   |   5%... On acoustic time step ('timestep_detection') 6. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====                                                                  |   6%... On acoustic time step ('timestep_detection') 7. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====                                                                 |   7%... On acoustic time step ('timestep_detection') 8. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   8%... On acoustic time step ('timestep_detection') 9. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   9%... On acoustic time step ('timestep_detection') 10. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======                                                               |  10%... On acoustic time step ('timestep_detection') 11. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  11%... On acoustic time step ('timestep_detection') 12. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  12%... On acoustic time step ('timestep_detection') 13. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========                                                             |  13%... On acoustic time step ('timestep_detection') 14. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  14%... On acoustic time step ('timestep_detection') 15. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  15%... On acoustic time step ('timestep_detection') 16. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 17. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============                                                          |  17%... On acoustic time step ('timestep_detection') 18. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============                                                          |  18%... On acoustic time step ('timestep_detection') 19. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============                                                         |  19%... On acoustic time step ('timestep_detection') 20. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============                                                        |  20%... On acoustic time step ('timestep_detection') 21. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  21%... On acoustic time step ('timestep_detection') 22. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  22%... On acoustic time step ('timestep_detection') 23. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================                                                      |  23%... On acoustic time step ('timestep_detection') 24. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  24%... On acoustic time step ('timestep_detection') 25. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  25%... On acoustic time step ('timestep_detection') 26. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================                                                    |  26%... On acoustic time step ('timestep_detection') 27. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  27%... On acoustic time step ('timestep_detection') 28. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  28%... On acoustic time step ('timestep_detection') 29. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====================                                                  |  29%... On acoustic time step ('timestep_detection') 30. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================                                                 |  30%... On acoustic time step ('timestep_detection') 31. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================                                                 |  31%... On acoustic time step ('timestep_detection') 32. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================                                                |  32%... On acoustic time step ('timestep_detection') 33. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================                                               |  33%... On acoustic time step ('timestep_detection') 34. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  34%... On acoustic time step ('timestep_detection') 35. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  35%... On acoustic time step ('timestep_detection') 36. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================                                             |  36%... On acoustic time step ('timestep_detection') 37. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  37%... On acoustic time step ('timestep_detection') 38. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  38%... On acoustic time step ('timestep_detection') 39. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========================                                           |  39%... On acoustic time step ('timestep_detection') 40. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  40%... On acoustic time step ('timestep_detection') 41. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  41%... On acoustic time step ('timestep_detection') 42. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============================                                         |  42%... On acoustic time step ('timestep_detection') 43. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================                                        |  43%... On acoustic time step ('timestep_detection') 44. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================                                        |  44%... On acoustic time step ('timestep_detection') 45. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===============================                                       |  45%... On acoustic time step ('timestep_detection') 46. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================================                                      |  46%... On acoustic time step ('timestep_detection') 47. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is constant ... 
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  48%... On acoustic time step ('timestep_detection') 49. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================                                    |  49%... On acoustic time step ('timestep_detection') 50. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================                                   |  50%... On acoustic time step ('timestep_detection') 51. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... On acoustic time step ('timestep_detection') 52. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================                                  |  51%... On acoustic time step ('timestep_detection') 53. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  52%... On acoustic time step ('timestep_detection') 54. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  53%... On acoustic time step ('timestep_detection') 55. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 56. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |=======================================                               |  55%... On acoustic time step ('timestep_detection') 57. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |========================================                              |  56%... On acoustic time step ('timestep_detection') 58. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================                              |  57%... On acoustic time step ('timestep_detection') 59. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 60. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  59%... On acoustic time step ('timestep_detection') 61. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  60%... On acoustic time step ('timestep_detection') 62. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================                           |  61%... On acoustic time step ('timestep_detection') 63. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  62%... On acoustic time step ('timestep_detection') 64. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  63%... On acoustic time step ('timestep_detection') 65. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================                         |  64%... On acoustic time step ('timestep_detection') 66. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  65%... On acoustic time step ('timestep_detection') 67. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  66%... On acoustic time step ('timestep_detection') 68. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================                       |  67%... On acoustic time step ('timestep_detection') 69. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================                      |  68%... On acoustic time step ('timestep_detection') 70. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================                     |  69%... On acoustic time step ('timestep_detection') 71. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================================================                     |  70%... On acoustic time step ('timestep_detection') 72. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================================                    |  71%... On acoustic time step ('timestep_detection') 73. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================================                   |  72%... On acoustic time step ('timestep_detection') 74. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================                   |  73%... On acoustic time step ('timestep_detection') 75. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================                  |  74%... On acoustic time step ('timestep_detection') 76. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================================                 |  75%... On acoustic time step ('timestep_detection') 77. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================================================                 |  76%... On acoustic time step ('timestep_detection') 78. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================================================                |  77%... On acoustic time step ('timestep_detection') 79. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  78%... On acoustic time step ('timestep_detection') 80. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  79%... On acoustic time step ('timestep_detection') 81. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================================              |  80%... On acoustic time step ('timestep_detection') 82. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================================================             |  81%... On acoustic time step ('timestep_detection') 83. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  82%... On acoustic time step ('timestep_detection') 84. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  83%... On acoustic time step ('timestep_detection') 85. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================================           |  84%... On acoustic time step ('timestep_detection') 86. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 11. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 12. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 13. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 14. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 15. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 16. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 17. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 18. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 19. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 20. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 21. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 22. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 23. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 24. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 25. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 26. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 27. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 28. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 29. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 30. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 31. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 32. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 33. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 34. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 35. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 36. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 37. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 38. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 39. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 40. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 41. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 42. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 43. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 44. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 45. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 46. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 47. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 48. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 49. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 50. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 51. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 52. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 53. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 54. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 55. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 56. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 57. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 58. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 59. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 60. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 61. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 62. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 63. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 64. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 65. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 66. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 67. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 68. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 69. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 70. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 71. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 72. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 73. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 74. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 75. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 76. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 77. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 78. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 79. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 80. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 81. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 82. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 83. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 84. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 85. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 86. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 87. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 88. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  86%... On acoustic time step ('timestep_detection') 88. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================================         |  87%... On acoustic time step ('timestep_detection') 89. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  88%... On acoustic time step ('timestep_detection') 90. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  89%... On acoustic time step ('timestep_detection') 91. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================================       |  90%... On acoustic time step ('timestep_detection') 92. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  91%... On acoustic time step ('timestep_detection') 93. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  92%... On acoustic time step ('timestep_detection') 94. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================================     |  93%... On acoustic time step ('timestep_detection') 95. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==================================================================    |  94%... On acoustic time step ('timestep_detection') 96. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  95%... On acoustic time step ('timestep_detection') 97. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 98. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================================  |  97%... On acoustic time step ('timestep_detection') 99. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  98%... On acoustic time step ('timestep_detection') 100. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  99%... On acoustic time step ('timestep_detection') 101. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================================================| 100%
+#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
+#> ... flapper::.acs() call completed (@ 2023-02-19 14:45:37) after ~0.12 minutes. 
+#> ... flapper::.acs_pl() call completed (@ 2023-02-19 14:45:37) after ~0.12 minutes. 
+#> flapper::acdc() finished (@ 2023-02-19 14:45:37)...
+# The function returns a list with four elements
+# ... archive contains the results of the algorithm, implemented by the back-end
+# ... function .acs(). The other elements provide the time series
+# ... for each chunk, the time of the algorithm and a list of user inputs
+summary(out_acdc)
+#>             Length Class      Mode
+#> archive      1     -none-     list
+#> ts_by_chunk  1     -none-     list
+#> time         4     data.frame list
+#> args        19     -none-     list
+
+#### Example (2): Write messages to file to monitor function progress via 'con'
+out_acdc <- acdc(acoustics = acc,
+                 archival = arc,
+                 bathy = dat_gebco,
+                 detection_containers = dat_containers,
+                 mobility = 200,
+                 calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
+                 con = tempdir()
+                 )
+#> flapper::acdc() called (@ 2023-02-19 14:45:37)...
+#> '/' added to the directory inputted to the argument 'con' ('/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226').
+#> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/acdc_log.txt does not exist: attempting to write file in specified directory...
+#> ... Blank file successfully written to file.
+#> 'calc_depth_error' function taken to be independent of depth.
+#> 
  |                                                                            
  |                                                                      |   0%
  |                                                                            
  |=                                                                     |   1%
  |                                                                            
  |=                                                                     |   2%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==                                                                    |   3%
  |                                                                            
  |===                                                                   |   4%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===                                                                   |   5%
  |                                                                            
  |====                                                                  |   6%
  |                                                                            
  |=====                                                                 |   7%
  |                                                                            
  |======                                                                |   8%
  |                                                                            
  |======                                                                |   9%
  |                                                                            
  |=======                                                               |  10%
  |                                                                            
  |========                                                              |  11%
  |                                                                            
  |========                                                              |  12%
  |                                                                            
  |=========                                                             |  13%
  |                                                                            
  |==========                                                            |  14%
  |                                                                            
  |==========                                                            |  15%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========                                                           |  16%
  |                                                                            
  |============                                                          |  17%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============                                                          |  18%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============                                                         |  19%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============                                                        |  20%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  21%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  22%
  |                                                                            
  |================                                                      |  23%
  |                                                                            
  |=================                                                     |  24%
  |                                                                            
  |=================                                                     |  25%
  |                                                                            
  |==================                                                    |  26%
  |                                                                            
  |===================                                                   |  27%
  |                                                                            
  |===================                                                   |  28%
  |                                                                            
  |====================                                                  |  29%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================                                                 |  30%
  |                                                                            
  |=====================                                                 |  31%
  |                                                                            
  |======================                                                |  32%
  |                                                                            
  |=======================                                               |  33%
  |                                                                            
  |========================                                              |  34%
  |                                                                            
  |========================                                              |  35%
  |                                                                            
  |=========================                                             |  36%
  |                                                                            
  |==========================                                            |  37%
  |                                                                            
  |==========================                                            |  38%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========================                                           |  39%
  |                                                                            
  |============================                                          |  40%
  |                                                                            
  |============================                                          |  41%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============================                                         |  42%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================                                        |  43%
  |                                                                            
  |==============================                                        |  44%
  |                                                                            
  |===============================                                       |  45%
  |                                                                            
  |================================                                      |  46%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  47%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  48%
  |                                                                            
  |==================================                                    |  49%
  |                                                                            
  |===================================                                   |  50%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================                                  |  51%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  52%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  53%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================                                |  54%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=======================================                               |  55%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |========================================                              |  56%
  |                                                                            
  |========================================                              |  57%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=========================================                             |  58%
  |                                                                            
  |==========================================                            |  59%
  |                                                                            
  |==========================================                            |  60%
  |                                                                            
  |===========================================                           |  61%
  |                                                                            
  |============================================                          |  62%
  |                                                                            
  |============================================                          |  63%
  |                                                                            
  |=============================================                         |  64%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  65%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  66%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================                       |  67%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================                      |  68%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================                     |  69%
  |                                                                            
  |=================================================                     |  70%
  |                                                                            
  |==================================================                    |  71%
  |                                                                            
  |===================================================                   |  72%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================                   |  73%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================                  |  74%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================================                 |  75%
  |                                                                            
  |=====================================================                 |  76%
  |                                                                            
  |======================================================                |  77%
  |                                                                            
  |=======================================================               |  78%
  |                                                                            
  |=======================================================               |  79%
  |                                                                            
  |========================================================              |  80%
  |                                                                            
  |=========================================================             |  81%
  |                                                                            
  |==========================================================            |  82%
  |                                                                            
  |==========================================================            |  83%
  |                                                                            
  |===========================================================           |  84%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  85%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  86%
  |                                                                            
  |=============================================================         |  87%
  |                                                                            
  |==============================================================        |  88%
  |                                                                            
  |==============================================================        |  89%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================================       |  90%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  91%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  92%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================================     |  93%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==================================================================    |  94%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  95%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  96%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================================  |  97%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  98%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  99%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================================================| 100%
+#> flapper::acdc() finished (@ 2023-02-19 14:45:44)...
+
+acdc_log <- readLines(paste0(tempdir(), "/acdc_log.txt"))
+utils::head(acdc_log, 10)
+#>  [1] "flapper::.acs_pl() called (@ 2023-02-19 14:45:37)... "                                  
+#>  [2] "... Checking user inputs... "                                                           
+#>  [3] "... Processing movement time series... "                                                
+#>  [4] "... Plotting movement time series (for each chunk)... "                                 
+#>  [5] "... Calling .acs() to implement ACDC algorithm on one chunk... "                        
+#>  [6] "flapper::.acs() called (@ 2023-02-19 14:45:37)... "                                     
+#>  [7] "... Initiating algorithm: moving over acoustic and internal ('archival') time steps... "
+#>  [8] "... On acoustic time step ('timestep_detection') 1. "                                   
+#>  [9] "... ... On internal time step ('timestep_archival') 1. "                                
+#> [10] "... On acoustic time step ('timestep_detection') 2. "                                   
+file.remove(paste0(tempdir(), "/acdc_log.txt"))
+#> [1] TRUE
+
+#### Example (3): Implement the algorithm and return spatial information
+# Specify save_record_spatial = NULL to include spatial information for all time steps
+# ... or a vector to include this information for specific time steps
+out_acdc <- acdc(acoustics = acc,
+                 archival = arc,
+                 bathy = dat_gebco,
+                 detection_containers = dat_containers,
+                 mobility = 200,
+                 calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
+                 save_record_spatial = NULL
+                 )
+#> flapper::acdc() called (@ 2023-02-19 14:45:44)...
+#> flapper::.acs_pl() called (@ 2023-02-19 14:45:44)... 
+#> ... Checking user inputs... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> ... Processing movement time series... 
+#> ... Plotting movement time series (for each chunk)... 
+#> ... Calling .acs() to implement ACDC algorithm on one chunk... 
+#> flapper::.acs() called (@ 2023-02-19 14:45:44)... 
+#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
+#> ... On acoustic time step ('timestep_detection') 1. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   1%... On acoustic time step ('timestep_detection') 2. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   2%... On acoustic time step ('timestep_detection') 3. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==                                                                    |   3%... On acoustic time step ('timestep_detection') 4. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===                                                                   |   4%... On acoustic time step ('timestep_detection') 5. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===                                                                   |   5%... On acoustic time step ('timestep_detection') 6. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====                                                                  |   6%... On acoustic time step ('timestep_detection') 7. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====                                                                 |   7%... On acoustic time step ('timestep_detection') 8. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   8%... On acoustic time step ('timestep_detection') 9. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   9%... On acoustic time step ('timestep_detection') 10. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======                                                               |  10%... On acoustic time step ('timestep_detection') 11. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  11%... On acoustic time step ('timestep_detection') 12. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  12%... On acoustic time step ('timestep_detection') 13. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========                                                             |  13%... On acoustic time step ('timestep_detection') 14. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  14%... On acoustic time step ('timestep_detection') 15. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  15%... On acoustic time step ('timestep_detection') 16. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 17. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============                                                          |  17%... On acoustic time step ('timestep_detection') 18. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============                                                          |  18%... On acoustic time step ('timestep_detection') 19. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============                                                         |  19%... On acoustic time step ('timestep_detection') 20. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============                                                        |  20%... On acoustic time step ('timestep_detection') 21. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  21%... On acoustic time step ('timestep_detection') 22. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  22%... On acoustic time step ('timestep_detection') 23. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================                                                      |  23%... On acoustic time step ('timestep_detection') 24. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  24%... On acoustic time step ('timestep_detection') 25. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  25%... On acoustic time step ('timestep_detection') 26. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================                                                    |  26%... On acoustic time step ('timestep_detection') 27. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  27%... On acoustic time step ('timestep_detection') 28. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  28%... On acoustic time step ('timestep_detection') 29. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====================                                                  |  29%... On acoustic time step ('timestep_detection') 30. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================                                                 |  30%... On acoustic time step ('timestep_detection') 31. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================                                                 |  31%... On acoustic time step ('timestep_detection') 32. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================                                                |  32%... On acoustic time step ('timestep_detection') 33. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================                                               |  33%... On acoustic time step ('timestep_detection') 34. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  34%... On acoustic time step ('timestep_detection') 35. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  35%... On acoustic time step ('timestep_detection') 36. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================                                             |  36%... On acoustic time step ('timestep_detection') 37. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  37%... On acoustic time step ('timestep_detection') 38. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  38%... On acoustic time step ('timestep_detection') 39. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========================                                           |  39%... On acoustic time step ('timestep_detection') 40. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  40%... On acoustic time step ('timestep_detection') 41. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  41%... On acoustic time step ('timestep_detection') 42. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============================                                         |  42%... On acoustic time step ('timestep_detection') 43. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================                                        |  43%... On acoustic time step ('timestep_detection') 44. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================                                        |  44%... On acoustic time step ('timestep_detection') 45. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===============================                                       |  45%... On acoustic time step ('timestep_detection') 46. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================================                                      |  46%... On acoustic time step ('timestep_detection') 47. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is constant ... 
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  48%... On acoustic time step ('timestep_detection') 49. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================                                    |  49%... On acoustic time step ('timestep_detection') 50. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================                                   |  50%... On acoustic time step ('timestep_detection') 51. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... On acoustic time step ('timestep_detection') 52. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================                                  |  51%... On acoustic time step ('timestep_detection') 53. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  52%... On acoustic time step ('timestep_detection') 54. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  53%... On acoustic time step ('timestep_detection') 55. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 56. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |=======================================                               |  55%... On acoustic time step ('timestep_detection') 57. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |========================================                              |  56%... On acoustic time step ('timestep_detection') 58. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================                              |  57%... On acoustic time step ('timestep_detection') 59. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 60. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  59%... On acoustic time step ('timestep_detection') 61. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  60%... On acoustic time step ('timestep_detection') 62. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================                           |  61%... On acoustic time step ('timestep_detection') 63. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  62%... On acoustic time step ('timestep_detection') 64. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  63%... On acoustic time step ('timestep_detection') 65. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================                         |  64%... On acoustic time step ('timestep_detection') 66. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  65%... On acoustic time step ('timestep_detection') 67. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  66%... On acoustic time step ('timestep_detection') 68. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================                       |  67%... On acoustic time step ('timestep_detection') 69. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================                      |  68%... On acoustic time step ('timestep_detection') 70. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================                     |  69%... On acoustic time step ('timestep_detection') 71. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================================================                     |  70%... On acoustic time step ('timestep_detection') 72. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================================                    |  71%... On acoustic time step ('timestep_detection') 73. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================================                   |  72%... On acoustic time step ('timestep_detection') 74. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================                   |  73%... On acoustic time step ('timestep_detection') 75. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================                  |  74%... On acoustic time step ('timestep_detection') 76. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================================                 |  75%... On acoustic time step ('timestep_detection') 77. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================================================                 |  76%... On acoustic time step ('timestep_detection') 78. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================================================                |  77%... On acoustic time step ('timestep_detection') 79. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  78%... On acoustic time step ('timestep_detection') 80. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  79%... On acoustic time step ('timestep_detection') 81. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================================              |  80%... On acoustic time step ('timestep_detection') 82. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================================================             |  81%... On acoustic time step ('timestep_detection') 83. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  82%... On acoustic time step ('timestep_detection') 84. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  83%... On acoustic time step ('timestep_detection') 85. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================================           |  84%... On acoustic time step ('timestep_detection') 86. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 11. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 12. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 13. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 14. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 15. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 16. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 17. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 18. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 19. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 20. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 21. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 22. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 23. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 24. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 25. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 26. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 27. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 28. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 29. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 30. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 31. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 32. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 33. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 34. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 35. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 36. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 37. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 38. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 39. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 40. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 41. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 42. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 43. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 44. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 45. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 46. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 47. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 48. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 49. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 50. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 51. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 52. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 53. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 54. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 55. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 56. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 57. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 58. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 59. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 60. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 61. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 62. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 63. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 64. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 65. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 66. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 67. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 68. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 69. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 70. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 71. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 72. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 73. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 74. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 75. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 76. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 77. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 78. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 79. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 80. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 81. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 82. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 83. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 84. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 85. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 86. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 87. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 88. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  86%... On acoustic time step ('timestep_detection') 88. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================================         |  87%... On acoustic time step ('timestep_detection') 89. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  88%... On acoustic time step ('timestep_detection') 90. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  89%... On acoustic time step ('timestep_detection') 91. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================================       |  90%... On acoustic time step ('timestep_detection') 92. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  91%... On acoustic time step ('timestep_detection') 93. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  92%... On acoustic time step ('timestep_detection') 94. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================================     |  93%... On acoustic time step ('timestep_detection') 95. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==================================================================    |  94%... On acoustic time step ('timestep_detection') 96. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  95%... On acoustic time step ('timestep_detection') 97. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 98. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================================  |  97%... On acoustic time step ('timestep_detection') 99. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  98%... On acoustic time step ('timestep_detection') 100. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  99%... On acoustic time step ('timestep_detection') 101. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================================================| 100%
+#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
+#> ... flapper::.acs() call completed (@ 2023-02-19 14:45:52) after ~0.13 minutes. 
+#> ... flapper::.acs_pl() call completed (@ 2023-02-19 14:45:52) after ~0.13 minutes. 
+#> flapper::acdc() finished (@ 2023-02-19 14:45:52)...
+
+#### Example (4): Implement the algorithm in parallel e.g. by supplying a cluster
+# If verbose = TRUE (the default), it is necessary to specify a directory
+# ... into which dot_acdc_log_*.txt files are saved (i.e., messages
+# ... cannot be written to the console in parallel)
+out_acdc <- acdc(acoustics = acc,
+                 archival = arc,
+                 bathy = dat_gebco,
+                 detection_containers = dat_containers,
+                 mobility = 200,
+                 calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
+                 con = tempdir(),
+                 cl = parallel::makeCluster(2L)
+                 )
+#> flapper::acdc() called (@ 2023-02-19 14:45:52)...
+#> '/' added to the directory inputted to the argument 'con' ('/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226').
+#> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/acdc_log.txt does not exist: attempting to write file in specified directory...
+#> ... Blank file successfully written to file.
+#> 'calc_depth_error' function taken to be independent of depth.
+#> 'acoustics' dataframe split into 2 chunks of ~4 (0--7) hours across 2 core(s).
+#> Chunk 1 : 6 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
+#> Chunk 2 : 210 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
+#> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/dot_acdc_log_1.txt does not exist: attempting to write file in specified directory...
+#> ... Blank file successfully written to file.
+#> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/dot_acdc_log_2.txt does not exist: attempting to write file in specified directory...
+#> ... Blank file successfully written to file.
+#> flapper::acdc() finished (@ 2023-02-19 14:46:06)...
+
+## Check logs
+list.files(tempdir())
+#> [1] "acdc_log.txt"       "dot_acdc_log_1.txt" "dot_acdc_log_2.txt"
+#> [4] "downlit"            "file77b31494a445"   "file77b3284fa5e6"  
+#> [7] "file77b331894d7a"  
+# "acdc_log.txt" contains the log for the overall function
+acdc_log <- readLines(paste0(tempdir(), "/acdc_log.txt"))
+head(acdc_log, 20)
+#>  [1] "flapper::.acs_pl() called (@ 2023-02-19 14:45:52)... "                                                                                                      
+#>  [2] "... Checking user inputs... "                                                                                                                               
+#>  [3] "... Splitting 'acoustics' into chunks... "                                                                                                                  
+#>  [4] "... Processing acoustics chunks... "                                                                                                                        
+#>  [5] "... ... Checking for NULL/empty chunks... "                                                                                                                 
+#>  [6] "... ... Overlapping chunks... "                                                                                                                             
+#>  [7] "... Processing movement time series... "                                                                                                                    
+#>  [8] "... ... Chunk 1 : 6 archival observation(s) beyond the ranges of (processed) acoustic detections ignored. "                                                 
+#>  [9] "... ... Chunk 2 : 210 archival observation(s) beyond the ranges of (processed) acoustic detections ignored. "                                               
+#> [10] "... Plotting movement time series (for each chunk)... "                                                                                                     
+#> [11] "... Defining chunk-specific log files as dot_acdc_log_1.txt, dot_acdc_log_2.txt etc... "                                                                    
+#> [12] "... ... /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/dot_acdc_log_1.txt does not exist: attempting to write file in specified directory... "
+#> [13] "... ... ... Blank file successfully written to file. "                                                                                                      
+#> [14] "... ... /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/dot_acdc_log_2.txt does not exist: attempting to write file in specified directory... "
+#> [15] "... ... ... Blank file successfully written to file. "                                                                                                      
+#> [16] "... Calling .acs() to implement ACDC algorithm on 2 chunks, using 2 cores... "                                                                              
+#> [17] "... flapper::.acs_pl() call completed (@ 2023-02-19 14:46:06) after ~0.22 minutes. "                                                                        
+# "acdc_log_1.txt", "acdc_log_2.txt" etc contain chunk-specific logs
+acdc_log_1 <- readLines(paste0(tempdir(), "/dot_acdc_log_1.txt"))
+utils::head(acdc_log_1)
+#> [1] "flapper::.acs() called (@ 2023-02-19 14:45:54)... "                                     
+#> [2] "... Initiating algorithm: moving over acoustic and internal ('archival') time steps... "
+#> [3] "... On acoustic time step ('timestep_detection') 1. "                                   
+#> [4] "... ... On internal time step ('timestep_archival') 1. "                                
+#> [5] "... On acoustic time step ('timestep_detection') 2. "                                   
+#> [6] "... ... On internal time step ('timestep_archival') 1. "                                
+utils::tail(acdc_log_1)
+#> [1] "... On acoustic time step ('timestep_detection') 91. "                               
+#> [2] "... ... On internal time step ('timestep_archival') 1. "                             
+#> [3] "... ... On internal time step ('timestep_archival') 2. "                             
+#> [4] "... ... ... Acoustic container is expanding... "                                     
+#> [5] "... Movement over acoustic and internal ('archival') time steps has been completed. "
+#> [6] "... flapper::.acs() call completed (@ 2023-02-19 14:46:05) after ~0.19 minutes. "    
+## Examine outputs
+# Note that there are now four elements in archive, one for each chunk
+# Likewise, there are four elements in ts_by_chunk,
+# ... containing the movement time series for each chunk.
+summary(out_acdc)
+#>             Length Class      Mode
+#> archive      2     -none-     list
+#> ts_by_chunk  2     -none-     list
+#> time         4     data.frame list
+#> args        19     -none-     list
+# Note that the last observation of each time series overlaps with the
+# ... first observation for the next chunk, to prevent loss of information
+lapply(out_acdc$ts_by_chunk,
+  function(chunk) chunk$acoustics[c(1, nrow(chunk$acoustics)), ])
+#> [[1]]
+#>    individual_id transmitter_id index           timestamp receiver_id
+#> 1             25   A69-1303-555     1 2016-03-17 01:50:00          26
+#> 92            25   A69-1303-555   138 2016-03-17 08:50:00          26
+#>       receiver receiver_long receiver_lat receiver_depth   dup split_permit
+#> 1  VR2W-108163     -5.610733     56.37628             25 FALSE        FALSE
+#> 92 VR2W-108163     -5.610733     56.37628             25 FALSE         TRUE
+#>                    bin timestamp_num
+#> 1  2016-03-17 01:00:00    1458179400
+#> 92 2016-03-17 05:00:00    1458204600
+#> 
+#> [[2]]
+#>     individual_id transmitter_id index           timestamp receiver_id
+#> 92             25   A69-1303-555   138 2016-03-17 08:50:00          26
+#> 102            25   A69-1303-555   154 2016-03-17 09:02:00          26
+#>        receiver receiver_long receiver_lat receiver_depth   dup split_permit
+#> 92  VR2W-108163     -5.610733     56.37628             25 FALSE         TRUE
+#> 102 VR2W-108163     -5.610733     56.37628             25 FALSE        FALSE
+#>                     bin timestamp_num
+#> 92  2016-03-17 05:00:00    1458204600
+#> 102 2016-03-17 09:00:00    1458205320
+#> 
+
+#### Example (5) Biologically meaningful chunks can be specified via
+# .. the 'split' argument or by passing a list of acoustic time series
+# .. already split by list of dataframes to 'acoustics'
+## Using the split argument:
+out_acdc <- acdc(acoustics = acc,
+                 archival = arc,
+                 bathy = dat_gebco,
+                 detection_containers = dat_containers,
+                 mobility = 200,
+                 calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
+                 con = tempdir(),
+                 cl = parallel::makeCluster(2L),
+                 split = "2 hours"
+                 )
+#> flapper::acdc() called (@ 2023-02-19 14:46:06)...
+#> '/' added to the directory inputted to the argument 'con' ('/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226').
+#> 'calc_depth_error' function taken to be independent of depth.
+#> 'acoustics' dataframe split into 3 chunks of ~1 (0--5) hours across 2 core(s).
+#> Chunk 1 : 171 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
+#> Chunk 2 : 51 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
+#> Chunk 3 : 210 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
+#> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/dot_acdc_log_3.txt does not exist: attempting to write file in specified directory...
+#> ... Blank file successfully written to file.
+#> flapper::acdc() finished (@ 2023-02-19 14:46:19)...
+
+## Passing a list of dataframes
+# This option can provide more flexibility than split.
+# ... This example could also be used using split, as described above,
+# ... but this is not the case for all time categories (e.g., seasons).
+acc$chunk <- cut(acc$timestamp, "2 hours")
+acc_ls    <- split(acc, acc$chunk)
+out_acdc  <- acdc(acoustics = acc_ls,
+                  archival = arc,
+                  bathy = dat_gebco,
+                  detection_containers = dat_containers,
+                  mobility = 200,
+                  calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
+                  con = tempdir(),
+                  cl = parallel::makeCluster(2L)
+                  )
+#> flapper::acdc() called (@ 2023-02-19 14:46:19)...
+#> '/' added to the directory inputted to the argument 'con' ('/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226').
+#> 'calc_depth_error' function taken to be independent of depth.
+#> Chunk 1 : 181 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
+#> Chunk 2 : 156 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
+#> Chunk 3 : 108 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
+#> Chunk 4 : 204 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
+#> Chunk 5 : 215 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
+#> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/dot_acdc_log_4.txt does not exist: attempting to write file in specified directory...
+#> ... Blank file successfully written to file.
+#> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/dot_acdc_log_5.txt does not exist: attempting to write file in specified directory...
+#> ... Blank file successfully written to file.
+#> flapper::acdc() finished (@ 2023-02-19 14:46:30)...
+
+
+#### Example (5) Implement the algorithm for multiple individuals
+# ... To do this, it is necessary to apply the function iteratively
+# ... to each individual.
+# Pre-processing to define computation time
+# ... E.g., careful definition of time series
+if(flapper_run_slow){
+  # Define cluster
+  cluster <- FALSE
+  if(cluster){
+    cl <- parallel::makeCluster(2L)
+    parallel::clusterExport(cl = cl, varlist = c("acdc",
+                                                 "dat_archival",
+                                                 "dat_gebco",
+                                                 "dat_containers"
+                                                  ))
+  } else cl <- NULL
+  # Implement algorithm for each individual
+  acdc_out_by_id <-
+    pbapply::pblapply(split(dat_acoustics, dat_acoustics$individual_id), cl = cl, function(acc){
+      # Define individual-specific folder in which to save function logs
+      dir_global <- paste0(tempdir(), "/")
+      dir_id     <- paste0(dir_global, acc$individual_id[1], "/")
+      if(!dir.exists(dir_id)) dir.create(dir_id)
+      # Focus on a small sample of time series for speed
+      acc <- acc[1:3, ]
+      # Isolate archival data for individual
+      arc <- dat_archival[dat_archival$individual_id == acc$id[1], ]
+      # Implement algorithm
+      acdc_out <- acdc(acoustics = acc,
+                       archival = dat_archival,
+                       bathy = dat_gebco,
+                       detection_containers = dat_containers,
+                       mobility = 200,
+                       calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
+                       save_record_spatial = 1:10L,
+                       con = dir_id
+                       )
+      # Include logs in output
+      acdc_log <- lapply(list.files(dir_id, full.names = TRUE), readLines)
+      # Simplify the results at this stage or outside of this loop
+      # ... using acdc_simplify()
+      # Return results for specified individual
+      out <- list(acdc_id = acc$individual_id[1], acdc_out = acdc_out, acdc_log = acdc_log)
+      return(out)
+    })
+  if(!is.null(cl)) parallel::stopCluster(cl)
+  summary(acdc_out_by_id)
+}
+#> flapper::acdc() called (@ 2023-02-19 14:46:30)...
+#> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/25/acdc_log.txt does not exist: attempting to write file in specified directory...
+#> ... Blank file successfully written to file.
+#> 'calc_depth_error' function taken to be independent of depth.
+#> archival$timestamp rounded to the nearest 120 second(s).
+#> Duplicate observations in 'archival' identified and dropped.
+#> Chunk 1 : 774 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
+#> 
  |                                                                            
  |                                                                      |   0%
  |                                                                            
  |===================================                                   |  50%
  |                                                                            
  |======================================================================| 100%
+#> flapper::acdc() finished (@ 2023-02-19 14:46:30)...
+#> flapper::acdc() called (@ 2023-02-19 14:46:30)...
+#> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/28/acdc_log.txt does not exist: attempting to write file in specified directory...
+#> ... Blank file successfully written to file.
+#> 'calc_depth_error' function taken to be independent of depth.
+#> archival$timestamp rounded to the nearest 120 second(s).
+#> Duplicate observations in 'archival' identified and dropped.
+#> Chunk 1 : 7268 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
+
+#> 
  |                                                                            
  |                                                                      |   0%
  |                                                                            
  |===================================                                   |  50%
  |                                                                            
  |======================================================================| 100%
+#> flapper::acdc() finished (@ 2023-02-19 14:46:30)...
+#> flapper::acdc() called (@ 2023-02-19 14:46:30)...
+#> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/35/acdc_log.txt does not exist: attempting to write file in specified directory...
+#> ... Blank file successfully written to file.
+#> 'calc_depth_error' function taken to be independent of depth.
+#> archival$timestamp rounded to the nearest 120 second(s).
+#> Duplicate observations in 'archival' identified and dropped.
+#> Chunk 1 : 1961 archival observation(s) beyond the ranges of (processed) acoustic detections ignored.
+
+#> 
  |                                                                            
  |                                                                      |   0%
  |                                                                            
  |===================================                                   |  50%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================================================| 100%
+#> flapper::acdc() finished (@ 2023-02-19 14:51:18)...
+
+#>    Length Class  Mode
+#> 25 3      -none- list
+#> 28 3      -none- list
+#> 35 3      -none- list
+
+#### Step (3) Simplify the function outputs
+# This step aggregates information across chunks, which is necessary to
+# ... plot information aggregated across all chunks (see below).
+
+#### Step (4) Examine function outputs, e.g., via plotting
+# See acdc_plot_record() and acdc_animate_record() to visualise the results
+# ... (either for a specific chunk or aggregated across all chunks
+# ... using acdc_simplify() as described above).
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/acdc_access.html b/docs/reference/acdc_access.html index 8f1c367..3c8f0fa 100644 --- a/docs/reference/acdc_access.html +++ b/docs/reference/acdc_access.html @@ -1,67 +1,12 @@ - - - - - - - -Short-cuts to elements of an "acdc_record" object — acdc_access • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Short-cuts to elements of an "acdc_record" object — acdc_access • flapper - - - - + + -
    -
    - -
    - -
    +

    Short-cuts to elements of an "acdc_record" object

    - Source: R/acdc_analyse_record.R + Source: R/acdc_analyse_record.R
    -

    These functions provide short-cuts to elements of an acdc_record-class object.

    +

    These functions provide short-cuts to elements of an acdc_record-class object.

    - 
    acdc_access_dat(record)
+    
    
+    
    acdc_access_dat(record)
+
+acdc_access_timesteps(record)
+
+acdc_access_maps(
+  record,
+  type = c("map_timestep", "map_cumulative"),
+  select = NULL
+)
    
+    
    
+
+    
    
+    
    Arguments
    
+    
    record
    
+
    An acdc_record-class object.
    
 
-acdc_access_timesteps(record)
 
-acdc_access_maps(
-  record,
-  type = c("map_timestep", "map_cumulative"),
-  select = NULL
-)
    +
    type
    +

    For acdc_access_maps, type is a character that specifies whether or not to access time step-specific maps (type = "map_timestep") or cumulative maps (type = "map_cumulative").

    -

    Arguments

    - - - - - - - - - - - - - - -
    record

    An acdc_record-class object.

    type

    For acdc_access_maps, type is a character that specifies whether or not to access time step-specific maps (type = "map_timestep") or cumulative maps (type = "map_cumulative").

    select

    (optional) For acdc_access_maps, select is an integer vector that defines the cumulative time steps (i.e., accounting for both primary (acoustic) and secondary (archival) time steps) for which maps are required.

    -

    Value

    +
    select
    +

    (optional) For acdc_access_maps, select is an integer vector that defines the cumulative time steps (i.e., accounting for both primary (acoustic) and secondary (archival) time steps) for which maps are required.

    +
    +
    +

    Value

    -
      -

    • acdc_access_dat returns a single dataframe for all time steps.

      • + +

      • acdc_access_dat returns a single dataframe for all time steps.

      • acdc_access_timesteps returns an integer that defines the total number of time steps.

      • acdc_access_maps returns a single list of time-step specific or cumulative maps for specified or all time steps.

        • -
      - -

      Details

      - +
    +
    +

    Details

    -
      -

    • acdc_access_dat accesses the record$dat elements of an acdc_record-class object for all time steps.

      • -

    • acdc_access_timesteps accesses the total number of time steps stored in an acdc_record-class object, accounting for both primary (acoustic) and secondary (archival) time steps.

      • -

    • acdc_access_maps accesses all, or specified, maps from the record$spatial elements of an acdc_record-class object.

      • -
    - -

    Author

    - +

    • acdc_access_dat accesses the record$dat elements of an acdc_record-class object for all time steps.

      • +

    • acdc_access_timesteps accesses the total number of time steps stored in an acdc_record-class object, accounting for both primary (acoustic) and secondary (archival) time steps.

      • +

    • acdc_access_maps accesses all, or specified, maps from the record$spatial elements of an acdc_record-class object.

      • +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): acdc_access_dat()
-acdc_access_dat(acdc_simplify(dat_acdc))
-
    #> acdc_simplify() implemented for type = 'acs'.
    #>     timestep_cumulative timestep_detection timestep_archival receiver_1_id
-#> 1                     1                  1                 1            26
-#> 2                     2                  2                 1            26
-#> 3                     3                  3                 1            26
-#> 4                     4                  3                 2            26
-#> 5                     5                  4                 1            26
-#> 6                     6                  5                 1            26
-#> 7                     7                  5                 2            26
-#> 8                     8                  6                 1            26
-#> 9                     9                  7                 1            26
-#> 10                   10                  8                 1            26
-#> 11                   11                  9                 1            26
-#> 12                   12                 10                 1            26
-#> 13                   13                 11                 1            26
-#> 14                   14                 12                 1            26
-#> 15                   15                 13                 1            26
-#> 16                   16                 14                 1            26
-#> 17                   17                 15                 1            26
-#> 18                   18                 16                 1            26
-#> 19                   19                 16                 2            26
-#> 20                   20                 16                 3            26
-#> 21                   21                 17                 1            26
-#> 22                   22                 18                 1            26
-#> 23                   23                 18                 2            26
-#> 24                   24                 18                 3            26
-#> 25                   25                 18                 4            26
-#> 26                   26                 18                 5            26
-#> 27                   27                 18                 6            26
-#> 28                   28                 18                 7            26
-#> 29                   29                 18                 8            26
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-#>     receiver_2_id receiver_1_timestamp receiver_2_timestamp time_btw_dets
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-#> 165            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 166            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 167            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 168            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 169            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 170            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 171            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 172            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 173            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 174            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 175            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 176            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 177            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 178            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 179            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
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-#> 181            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 182            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 183            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 184            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
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-#> 186            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 187            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
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-#> 190            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
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-#> 194            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
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-#> 196            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 197            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 198            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 199            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 200            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 201            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 202            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 203            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 204            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 205            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 206            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 207            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 208            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
-#> 209            26  2016-03-17 08:36:00  2016-03-17 08:40:00           240
-#> 210            26  2016-03-17 08:36:00  2016-03-17 08:40:00           240
-#> 211            26  2016-03-17 08:40:00  2016-03-17 08:42:00           120
-#> 212            26  2016-03-17 08:42:00  2016-03-17 08:44:00           120
-#> 213            26  2016-03-17 08:44:00  2016-03-17 08:46:00           120
-#> 214            26  2016-03-17 08:46:00  2016-03-17 08:50:00           240
-#> 215            26  2016-03-17 08:46:00  2016-03-17 08:50:00           240
-#> 216            31  2016-03-17 08:50:00  2016-03-17 08:50:00             0
-#> 217            26  2016-03-17 08:50:00  2016-03-17 08:52:00           120
-#> 218            31  2016-03-17 08:52:00  2016-03-17 08:52:00             0
-#> 219            31  2016-03-17 08:52:00  2016-03-17 08:54:00           120
-#> 220            26  2016-03-17 08:54:00  2016-03-17 08:54:00             0
-#> 221            31  2016-03-17 08:54:00  2016-03-17 08:58:00           240
-#> 222            31  2016-03-17 08:54:00  2016-03-17 08:58:00           240
-#> 223            26  2016-03-17 08:58:00  2016-03-17 08:58:00             0
-#> 224            26  2016-03-17 08:58:00  2016-03-17 09:00:00           120
-#> 225            31  2016-03-17 09:00:00  2016-03-17 09:00:00             0
-#> 226            26  2016-03-17 09:00:00  2016-03-17 09:02:00           120
-#>      archival_timestamp archival_depth chunk
-#> 1   2016-03-17 01:50:00          73.78     1
-#> 2   2016-03-17 01:52:00          73.32     1
-#> 3   2016-03-17 01:54:00          73.32     1
-#> 4   2016-03-17 01:56:00          73.32     1
-#> 5   2016-03-17 01:58:00          73.55     1
-#> 6   2016-03-17 02:00:00          68.70     1
-#> 7   2016-03-17 02:02:00          72.16     1
-#> 8   2016-03-17 02:04:00          72.85     1
-#> 9   2016-03-17 02:06:00          73.55     1
-#> 10  2016-03-17 02:08:00          73.32     1
-#> 11  2016-03-17 02:10:00          73.32     1
-#> 12  2016-03-17 02:12:00          73.55     1
-#> 13  2016-03-17 02:14:00          73.32     1
-#> 14  2016-03-17 02:16:00          73.32     1
-#> 15  2016-03-17 02:18:00          73.32     1
-#> 16  2016-03-17 02:20:00          72.39     1
-#> 17  2016-03-17 02:22:00          72.39     1
-#> 18  2016-03-17 02:24:00          72.39     1
-#> 19  2016-03-17 02:26:00          72.39     1
-#> 20  2016-03-17 02:28:00          72.39     1
-#> 21  2016-03-17 02:30:00          72.39     1
-#> 22  2016-03-17 02:32:00          65.23     1
-#> 23  2016-03-17 02:34:00          73.55     1
-#> 24  2016-03-17 02:36:00          75.16     1
-#> 25  2016-03-17 02:38:00          76.78     1
-#> 26  2016-03-17 02:40:00          76.55     1
-#> 27  2016-03-17 02:42:00          76.78     1
-#> 28  2016-03-17 02:44:00          76.55     1
-#> 29  2016-03-17 02:46:00          71.01     1
-#> 30  2016-03-17 02:48:00          72.16     1
-#> 31  2016-03-17 02:50:00          72.16     1
-#> 32  2016-03-17 02:52:00          73.78     1
-#> 33  2016-03-17 02:54:00          71.70     1
-#> 34  2016-03-17 02:56:00          65.92     1
-#> 35  2016-03-17 02:56:00          65.92     1
-#> 36  2016-03-17 02:58:00          66.15     1
-#> 37  2016-03-17 03:00:00          66.15     1
-#> 38  2016-03-17 03:02:00          66.39     1
-#> 39  2016-03-17 03:04:00          66.39     1
-#> 40  2016-03-17 03:06:00          66.15     1
-#> 41  2016-03-17 03:08:00          66.15     1
-#> 42  2016-03-17 03:10:00          66.15     1
-#> 43  2016-03-17 03:12:00          66.15     1
-#> 44  2016-03-17 03:14:00          66.15     1
-#> 45  2016-03-17 03:16:00          66.15     1
-#> 46  2016-03-17 03:18:00          66.39     1
-#> 47  2016-03-17 03:20:00          66.15     2
-#> 48  2016-03-17 03:22:00          66.15     2
-#> 49  2016-03-17 03:24:00          66.39     2
-#> 50  2016-03-17 03:26:00          66.15     2
-#> 51  2016-03-17 03:28:00          65.92     2
-#> 52  2016-03-17 03:30:00          66.15     2
-#> 53  2016-03-17 03:32:00          66.15     2
-#> 54  2016-03-17 03:34:00          66.39     2
-#> 55  2016-03-17 03:36:00          66.15     2
-#> 56  2016-03-17 03:38:00          66.15     2
-#> 57  2016-03-17 03:40:00          65.92     2
-#> 58  2016-03-17 03:42:00          65.69     2
-#> 59  2016-03-17 03:44:00          22.77     2
-#> 60  2016-03-17 03:46:00          49.99     2
-#> 61  2016-03-17 03:48:00          47.45     2
-#> 62  2016-03-17 03:50:00          49.76     2
-#> 63  2016-03-17 03:52:00          52.30     2
-#> 64  2016-03-17 03:54:00          55.76     2
-#> 65  2016-03-17 03:56:00          65.46     2
-#> 66  2016-03-17 03:58:00          68.23     2
-#> 67  2016-03-17 04:00:00          70.08     2
-#> 68  2016-03-17 04:02:00          71.70     2
-#> 69  2016-03-17 04:04:00          60.15     2
-#> 70  2016-03-17 04:06:00          42.84     2
-#> 71  2016-03-17 04:08:00          38.69     2
-#> 72  2016-03-17 04:08:00          38.69     2
-#> 73  2016-03-17 04:10:00          40.76     2
-#> 74  2016-03-17 04:12:00          39.38     2
-#> 75  2016-03-17 04:14:00          36.38     2
-#> 76  2016-03-17 04:16:00          35.00     2
-#> 77  2016-03-17 04:18:00          39.61     2
-#> 78  2016-03-17 04:20:00          43.30     2
-#> 79  2016-03-17 04:22:00          43.78     2
-#> 80  2016-03-17 04:24:00          40.30     2
-#> 81  2016-03-17 04:26:00          43.76     2
-#> 82  2016-03-17 04:28:00          43.53     2
-#> 83  2016-03-17 04:30:00          44.22     2
-#> 84  2016-03-17 04:32:00          48.84     2
-#> 85  2016-03-17 04:34:00          45.38     2
-#> 86  2016-03-17 04:36:00          42.38     2
-#> 87  2016-03-17 04:38:00          46.53     2
-#> 88  2016-03-17 04:40:00          53.45     2
-#> 89  2016-03-17 04:42:00          55.53     2
-#> 90  2016-03-17 04:44:00          48.38     2
-#> 91  2016-03-17 04:46:00          45.84     2
-#> 92  2016-03-17 04:48:00          49.53     2
-#> 93  2016-03-17 04:50:00          37.53     2
-#> 94  2016-03-17 04:52:00          36.61     2
-#> 95  2016-03-17 04:54:00          37.99     2
-#> 96  2016-03-17 04:56:00          39.38     2
-#> 97  2016-03-17 04:58:00          39.15     2
-#> 98  2016-03-17 05:00:00          42.38     2
-#> 99  2016-03-17 05:02:00          47.92     2
-#> 100 2016-03-17 05:04:00          46.53     2
-#> 101 2016-03-17 05:06:00          43.76     2
-#> 102 2016-03-17 05:06:00          43.76     2
-#> 103 2016-03-17 05:08:00          43.76     2
-#> 104 2016-03-17 05:10:00          44.22     2
-#> 105 2016-03-17 05:10:00          44.22     2
-#> 106 2016-03-17 05:12:00          43.99     2
-#> 107 2016-03-17 05:14:00          49.07     2
-#> 108 2016-03-17 05:16:00          51.38     2
-#> 109 2016-03-17 05:18:00          43.99     2
-#> 110 2016-03-17 05:20:00          50.92     2
-#> 111 2016-03-17 05:20:00          50.92     2
-#> 112 2016-03-17 05:22:00          55.07     2
-#> 113 2016-03-17 05:24:00          57.15     2
-#> 114 2016-03-17 05:26:00          56.92     2
-#> 115 2016-03-17 05:28:00          57.15     2
-#> 116 2016-03-17 05:30:00          57.15     2
-#> 117 2016-03-17 05:32:00          56.69     2
-#> 118 2016-03-17 05:34:00          56.23     2
-#> 119 2016-03-17 05:36:00          49.30     2
-#> 120 2016-03-17 05:38:00          47.22     2
-#> 121 2016-03-17 05:40:00          51.84     2
-#> 122 2016-03-17 05:42:00          54.15     2
-#> 123 2016-03-17 05:44:00          55.07     2
-#> 124 2016-03-17 05:46:00          59.00     2
-#> 125 2016-03-17 05:48:00          58.07     2
-#> 126 2016-03-17 05:50:00          52.07     2
-#> 127 2016-03-17 05:52:00          49.99     2
-#> 128 2016-03-17 05:54:00          51.15     2
-#> 129 2016-03-17 05:56:00          55.30     2
-#> 130 2016-03-17 05:58:00          61.07     2
-#> 131 2016-03-17 06:00:00          65.00     2
-#> 132 2016-03-17 06:02:00          68.23     2
-#> 133 2016-03-17 06:04:00          71.70     2
-#> 134 2016-03-17 06:06:00          76.09     2
-#> 135 2016-03-17 06:08:00          79.79     2
-#> 136 2016-03-17 06:10:00          83.48     2
-#> 137 2016-03-17 06:12:00          87.18     2
-#> 138 2016-03-17 06:14:00          91.57     2
-#> 139 2016-03-17 06:16:00          95.04     2
-#> 140 2016-03-17 06:18:00          97.12     2
-#> 141 2016-03-17 06:20:00         101.29     2
-#> 142 2016-03-17 06:22:00          99.21     2
-#> 143 2016-03-17 06:24:00         101.06     2
-#> 144 2016-03-17 06:26:00         103.60     2
-#> 145 2016-03-17 06:28:00         103.60     2
-#> 146 2016-03-17 06:30:00         104.06     2
-#> 147 2016-03-17 06:32:00         103.83     2
-#> 148 2016-03-17 06:34:00         102.91     2
-#> 149 2016-03-17 06:36:00         100.59     2
-#> 150 2016-03-17 06:38:00         100.59     2
-#> 151 2016-03-17 06:40:00         100.59     2
-#> 152 2016-03-17 06:42:00         100.59     2
-#> 153 2016-03-17 06:44:00         100.36     2
-#> 154 2016-03-17 06:46:00          96.66     2
-#> 155 2016-03-17 06:48:00          92.50     2
-#> 156 2016-03-17 06:50:00          88.34     2
-#> 157 2016-03-17 06:52:00          83.02     2
-#> 158 2016-03-17 06:54:00          78.40     2
-#> 159 2016-03-17 06:56:00          84.18     2
-#> 160 2016-03-17 06:58:00          92.73     2
-#> 161 2016-03-17 07:00:00          98.74     2
-#> 162 2016-03-17 07:02:00          99.90     2
-#> 163 2016-03-17 07:04:00          99.90     2
-#> 164 2016-03-17 07:06:00          99.90     2
-#> 165 2016-03-17 07:08:00          99.21     2
-#> 166 2016-03-17 07:10:00          95.04     2
-#> 167 2016-03-17 07:12:00          92.50     2
-#> 168 2016-03-17 07:14:00          92.73     2
-#> 169 2016-03-17 07:16:00          92.50     2
-#> 170 2016-03-17 07:18:00          92.73     2
-#> 171 2016-03-17 07:20:00          92.73     2
-#> 172 2016-03-17 07:22:00          92.27     2
-#> 173 2016-03-17 07:24:00          83.25     2
-#> 174 2016-03-17 07:26:00          80.71     2
-#> 175 2016-03-17 07:28:00          85.80     2
-#> 176 2016-03-17 07:30:00          85.80     2
-#> 177 2016-03-17 07:32:00          85.80     2
-#> 178 2016-03-17 07:34:00          85.80     2
-#> 179 2016-03-17 07:36:00          85.80     2
-#> 180 2016-03-17 07:38:00          85.80     2
-#> 181 2016-03-17 07:40:00          91.34     2
-#> 182 2016-03-17 07:42:00          91.57     2
-#> 183 2016-03-17 07:44:00          98.28     2
-#> 184 2016-03-17 07:46:00          99.67     2
-#> 185 2016-03-17 07:48:00          96.20     2
-#> 186 2016-03-17 07:50:00         101.75     2
-#> 187 2016-03-17 07:52:00         101.29     2
-#> 188 2016-03-17 07:54:00         100.59     2
-#> 189 2016-03-17 07:56:00          97.36     2
-#> 190 2016-03-17 07:58:00          91.81     2
-#> 191 2016-03-17 08:00:00          90.19     2
-#> 192 2016-03-17 08:02:00          87.41     2
-#> 193 2016-03-17 08:04:00          89.49     2
-#> 194 2016-03-17 08:06:00          96.89     2
-#> 195 2016-03-17 08:08:00          84.64     2
-#> 196 2016-03-17 08:10:00          80.25     2
-#> 197 2016-03-17 08:12:00          86.72     2
-#> 198 2016-03-17 08:14:00          89.03     2
-#> 199 2016-03-17 08:16:00          88.57     2
-#> 200 2016-03-17 08:18:00          88.57     2
-#> 201 2016-03-17 08:20:00          82.33     2
-#> 202 2016-03-17 08:22:00          71.93     2
-#> 203 2016-03-17 08:24:00          66.62     2
-#> 204 2016-03-17 08:26:00          64.31     2
-#> 205 2016-03-17 08:28:00          63.85     2
-#> 206 2016-03-17 08:30:00          61.77     2
-#> 207 2016-03-17 08:32:00          63.85     2
-#> 208 2016-03-17 08:34:00          61.07     2
-#> 209 2016-03-17 08:36:00          51.38     2
-#> 210 2016-03-17 08:38:00          46.76     2
-#> 211 2016-03-17 08:40:00          37.30     2
-#> 212 2016-03-17 08:42:00          37.07     2
-#> 213 2016-03-17 08:44:00          38.22     2
-#> 214 2016-03-17 08:46:00          36.38     2
-#> 215 2016-03-17 08:48:00          39.61     2
-#> 216 2016-03-17 08:50:00          37.30     3
-#> 217 2016-03-17 08:50:00          37.30     3
-#> 218 2016-03-17 08:52:00          39.38     3
-#> 219 2016-03-17 08:52:00          39.38     3
-#> 220 2016-03-17 08:54:00          39.38     3
-#> 221 2016-03-17 08:54:00          39.38     3
-#> 222 2016-03-17 08:56:00          44.92     3
-#> 223 2016-03-17 08:58:00          45.38     3
-#> 224 2016-03-17 08:58:00          45.38     3
-#> 225 2016-03-17 09:00:00          45.15     3
-#> 226 2016-03-17 09:00:00          45.15     3
    
-#### Example (2): acdc_access_timesteps()
-acdc_access_timesteps(acdc_simplify(dat_acdc))
-
    #> acdc_simplify() implemented for type = 'acs'.
    #> [1] 226
    
-#### Example (3): acdc_access_maps()
-acdc_access_maps(acdc_simplify(dat_acdc))
-
    #> acdc_simplify() implemented for type = 'acs'.
    #> [[1]]
-#> class      : RasterLayer 
-#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
-#> resolution : 257, 463  (x, y)
-#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 1  (min, max)
-#> 
-#> 
-#> [[2]]
-#> class      : RasterLayer 
-#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
-#> resolution : 257, 463  (x, y)
-#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 1  (min, max)
-#> 
-#> 
-#> [[3]]
-#> class      : RasterLayer 
-#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
-#> resolution : 257, 463  (x, y)
-#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 1  (min, max)
-#> 
-#> 
-#> [[4]]
-#> class      : RasterLayer 
-#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
-#> resolution : 257, 463  (x, y)
-#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : NA, NA  (min, max)
-#> 
-#> 
-#> [[5]]
-#> class      : RasterLayer 
-#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
-#> resolution : 257, 463  (x, y)
-#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : NA, NA  (min, max)
-#> 
-#> 
-#> [[6]]
-#> class      : RasterLayer 
-#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
-#> resolution : 257, 463  (x, y)
-#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : NA, NA  (min, max)
-#> 
-#> 
-#> [[7]]
-#> class      : RasterLayer 
-#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
-#> resolution : 257, 463  (x, y)
-#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : NA, NA  (min, max)
-#> 
-#> 
-#> [[8]]
-#> class      : RasterLayer 
-#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
-#> resolution : 257, 463  (x, y)
-#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 1  (min, max)
-#> 
-#> 
-#> [[9]]
-#> class      : RasterLayer 
-#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
-#> resolution : 257, 463  (x, y)
-#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : NA, NA  (min, max)
-#> 
-#> 
    
-
    +
    +

    Examples

    + 
    #### Example (1): acdc_access_dat()
+acdc_access_dat(acdc_simplify(dat_acdc))
+#> acdc_simplify() implemented for type = 'acs'.
+#>     timestep_cumulative timestep_detection timestep_archival receiver_1_id
+#> 1                     1                  1                 1            26
+#> 2                     2                  2                 1            26
+#> 3                     3                  3                 1            26
+#> 4                     4                  3                 2            26
+#> 5                     5                  4                 1            26
+#> 6                     6                  5                 1            26
+#> 7                     7                  5                 2            26
+#> 8                     8                  6                 1            26
+#> 9                     9                  7                 1            26
+#> 10                   10                  8                 1            26
+#> 11                   11                  9                 1            26
+#> 12                   12                 10                 1            26
+#> 13                   13                 11                 1            26
+#> 14                   14                 12                 1            26
+#> 15                   15                 13                 1            26
+#> 16                   16                 14                 1            26
+#> 17                   17                 15                 1            26
+#> 18                   18                 16                 1            26
+#> 19                   19                 16                 2            26
+#> 20                   20                 16                 3            26
+#> 21                   21                 17                 1            26
+#> 22                   22                 18                 1            26
+#> 23                   23                 18                 2            26
+#> 24                   24                 18                 3            26
+#> 25                   25                 18                 4            26
+#> 26                   26                 18                 5            26
+#> 27                   27                 18                 6            26
+#> 28                   28                 18                 7            26
+#> 29                   29                 18                 8            26
+#> 30                   30                 18                 9            26
+#> 31                   31                 18                10            26
+#> 32                   32                 19                 1            21
+#> 33                   33                 20                 1            26
+#> 34                   34                 21                 1            26
+#> 35                   35                 22                 1            21
+#> 36                   36                 23                 1            21
+#> 37                   37                 24                 1            21
+#> 38                   38                 25                 1            21
+#> 39                   39                 26                 1            21
+#> 40                   40                 27                 1            21
+#> 41                   41                 28                 1            21
+#> 42                   42                 29                 1            21
+#> 43                   43                 30                 1            21
+#> 44                   44                 30                 2            21
+#> 45                   45                 31                 1            21
+#> 46                   46                 32                 1            21
+#> 47                   47                 33                 1            21
+#> 48                   48                 34                 1            21
+#> 49                   49                 35                 1            21
+#> 50                   50                 36                 1            21
+#> 51                   51                 37                 1            21
+#> 52                   52                 38                 1            21
+#> 53                   53                 39                 1            21
+#> 54                   54                 39                 2            21
+#> 55                   55                 40                 1            21
+#> 56                   56                 41                 1            21
+#> 57                   57                 42                 1            21
+#> 58                   58                 43                 1            26
+#> 59                   59                 44                 1            26
+#> 60                   60                 45                 1            26
+#> 61                   61                 46                 1            26
+#> 62                   62                 47                 1            26
+#> 63                   63                 47                 2            26
+#> 64                   64                 48                 1            26
+#> 65                   65                 48                 2            26
+#> 66                   66                 48                 3            26
+#> 67                   67                 48                 4            26
+#> 68                   68                 48                 5            26
+#> 69                   69                 49                 1            26
+#> 70                   70                 50                 1            26
+#> 71                   71                 51                 1            26
+#> 72                   72                 52                 1            21
+#> 73                   73                 52                 2            21
+#> 74                   74                 53                 1            21
+#> 75                   75                 53                 2            21
+#> 76                   76                 53                 3            21
+#> 77                   77                 53                 4            21
+#> 78                   78                 53                 5            21
+#> 79                   79                 53                 6            21
+#> 80                   80                 53                 7            21
+#> 81                   81                 53                 8            21
+#> 82                   82                 53                 9            21
+#> 83                   83                 53                10            21
+#> 84                   84                 54                 1            26
+#> 85                   85                 55                 1            26
+#> 86                   86                 55                 2            26
+#> 87                   87                 56                 1            26
+#> 88                   88                 56                 2            26
+#> 89                   89                 56                 3            26
+#> 90                   90                 57                 1            26
+#> 91                   91                 57                 2            26
+#> 92                   92                 58                 1            26
+#> 93                   93                 59                 1            26
+#> 94                   94                 59                 2            26
+#> 95                   95                 60                 1            26
+#> 96                   96                 61                 1            26
+#> 97                   97                 62                 1            26
+#> 98                   98                 63                 1            26
+#> 99                   99                 64                 1            26
+#> 100                 100                 65                 1            26
+#> 101                 101                 66                 1            26
+#> 102                 102                 67                 1            31
+#> 103                 103                 68                 1            26
+#> 104                 104                 69                 1            31
+#> 105                 105                 70                 1            26
+#> 106                 106                 71                 1            26
+#> 107                 107                 72                 1            26
+#> 108                 108                 73                 1            26
+#> 109                 109                 74                 1            26
+#> 110                 110                 75                 1            31
+#> 111                 111                 76                 1            26
+#> 112                 112                 77                 1            26
+#> 113                 113                 78                 1            26
+#> 114                 114                 79                 1            26
+#> 115                 115                 80                 1            26
+#> 116                 116                 81                 1            26
+#> 117                 117                 82                 1            26
+#> 118                 118                 83                 1            26
+#> 119                 119                 84                 1            26
+#> 120                 120                 85                 1            26
+#> 121                 121                 86                 1            26
+#> 122                 122                 86                 2            26
+#> 123                 123                 86                 3            26
+#> 124                 124                 86                 4            26
+#> 125                 125                 86                 5            26
+#> 126                 126                 86                 6            26
+#> 127                 127                 86                 7            26
+#> 128                 128                 86                 8            26
+#> 129                 129                 86                 9            26
+#> 130                 130                 86                10            26
+#> 131                 131                 86                11            26
+#> 132                 132                 86                12            26
+#> 133                 133                 86                13            26
+#> 134                 134                 86                14            26
+#> 135                 135                 86                15            26
+#> 136                 136                 86                16            26
+#> 137                 137                 86                17            26
+#> 138                 138                 86                18            26
+#> 139                 139                 86                19            26
+#> 140                 140                 86                20            26
+#> 141                 141                 86                21            26
+#> 142                 142                 86                22            26
+#> 143                 143                 86                23            26
+#> 144                 144                 86                24            26
+#> 145                 145                 86                25            26
+#> 146                 146                 86                26            26
+#> 147                 147                 86                27            26
+#> 148                 148                 86                28            26
+#> 149                 149                 86                29            26
+#> 150                 150                 86                30            26
+#> 151                 151                 86                31            26
+#> 152                 152                 86                32            26
+#> 153                 153                 86                33            26
+#> 154                 154                 86                34            26
+#> 155                 155                 86                35            26
+#> 156                 156                 86                36            26
+#> 157                 157                 86                37            26
+#> 158                 158                 86                38            26
+#> 159                 159                 86                39            26
+#> 160                 160                 86                40            26
+#> 161                 161                 86                41            26
+#> 162                 162                 86                42            26
+#> 163                 163                 86                43            26
+#> 164                 164                 86                44            26
+#> 165                 165                 86                45            26
+#> 166                 166                 86                46            26
+#> 167                 167                 86                47            26
+#> 168                 168                 86                48            26
+#> 169                 169                 86                49            26
+#> 170                 170                 86                50            26
+#> 171                 171                 86                51            26
+#> 172                 172                 86                52            26
+#> 173                 173                 86                53            26
+#> 174                 174                 86                54            26
+#> 175                 175                 86                55            26
+#> 176                 176                 86                56            26
+#> 177                 177                 86                57            26
+#> 178                 178                 86                58            26
+#> 179                 179                 86                59            26
+#> 180                 180                 86                60            26
+#> 181                 181                 86                61            26
+#> 182                 182                 86                62            26
+#> 183                 183                 86                63            26
+#> 184                 184                 86                64            26
+#> 185                 185                 86                65            26
+#> 186                 186                 86                66            26
+#> 187                 187                 86                67            26
+#> 188                 188                 86                68            26
+#> 189                 189                 86                69            26
+#> 190                 190                 86                70            26
+#> 191                 191                 86                71            26
+#> 192                 192                 86                72            26
+#> 193                 193                 86                73            26
+#> 194                 194                 86                74            26
+#> 195                 195                 86                75            26
+#> 196                 196                 86                76            26
+#> 197                 197                 86                77            26
+#> 198                 198                 86                78            26
+#> 199                 199                 86                79            26
+#> 200                 200                 86                80            26
+#> 201                 201                 86                81            26
+#> 202                 202                 86                82            26
+#> 203                 203                 86                83            26
+#> 204                 204                 86                84            26
+#> 205                 205                 86                85            26
+#> 206                 206                 86                86            26
+#> 207                 207                 86                87            26
+#> 208                 208                 86                88            26
+#> 209                 209                 87                 1            26
+#> 210                 210                 87                 2            26
+#> 211                 211                 88                 1            26
+#> 212                 212                 89                 1            26
+#> 213                 213                 90                 1            26
+#> 214                 214                 91                 1            26
+#> 215                 215                 91                 2            26
+#> 216                 216                 92                 1            26
+#> 217                 217                 93                 1            31
+#> 218                 218                 94                 1            26
+#> 219                 219                 95                 1            31
+#> 220                 220                 96                 1            31
+#> 221                 221                 97                 1            26
+#> 222                 222                 97                 2            26
+#> 223                 223                 98                 1            31
+#> 224                 224                 99                 1            26
+#> 225                 225                100                 1            26
+#> 226                 226                101                 1            31
+#>     receiver_2_id receiver_1_timestamp receiver_2_timestamp time_btw_dets
+#> 1              26  2016-03-17 01:50:00  2016-03-17 01:52:00           120
+#> 2              26  2016-03-17 01:52:00  2016-03-17 01:54:00           120
+#> 3              26  2016-03-17 01:54:00  2016-03-17 01:58:00           240
+#> 4              26  2016-03-17 01:54:00  2016-03-17 01:58:00           240
+#> 5              26  2016-03-17 01:58:00  2016-03-17 02:00:00           120
+#> 6              26  2016-03-17 02:00:00  2016-03-17 02:04:00           240
+#> 7              26  2016-03-17 02:00:00  2016-03-17 02:04:00           240
+#> 8              26  2016-03-17 02:04:00  2016-03-17 02:06:00           120
+#> 9              26  2016-03-17 02:06:00  2016-03-17 02:08:00           120
+#> 10             26  2016-03-17 02:08:00  2016-03-17 02:10:00           120
+#> 11             26  2016-03-17 02:10:00  2016-03-17 02:12:00           120
+#> 12             26  2016-03-17 02:12:00  2016-03-17 02:14:00           120
+#> 13             26  2016-03-17 02:14:00  2016-03-17 02:16:00           120
+#> 14             26  2016-03-17 02:16:00  2016-03-17 02:18:00           120
+#> 15             26  2016-03-17 02:18:00  2016-03-17 02:20:00           120
+#> 16             26  2016-03-17 02:20:00  2016-03-17 02:22:00           120
+#> 17             26  2016-03-17 02:22:00  2016-03-17 02:24:00           120
+#> 18             26  2016-03-17 02:24:00  2016-03-17 02:30:00           360
+#> 19             26  2016-03-17 02:24:00  2016-03-17 02:30:00           360
+#> 20             26  2016-03-17 02:24:00  2016-03-17 02:30:00           360
+#> 21             26  2016-03-17 02:30:00  2016-03-17 02:32:00           120
+#> 22             21  2016-03-17 02:32:00  2016-03-17 02:52:00          1200
+#> 23             21  2016-03-17 02:32:00  2016-03-17 02:52:00          1200
+#> 24             21  2016-03-17 02:32:00  2016-03-17 02:52:00          1200
+#> 25             21  2016-03-17 02:32:00  2016-03-17 02:52:00          1200
+#> 26             21  2016-03-17 02:32:00  2016-03-17 02:52:00          1200
+#> 27             21  2016-03-17 02:32:00  2016-03-17 02:52:00          1200
+#> 28             21  2016-03-17 02:32:00  2016-03-17 02:52:00          1200
+#> 29             21  2016-03-17 02:32:00  2016-03-17 02:52:00          1200
+#> 30             21  2016-03-17 02:32:00  2016-03-17 02:52:00          1200
+#> 31             21  2016-03-17 02:32:00  2016-03-17 02:52:00          1200
+#> 32             26  2016-03-17 02:52:00  2016-03-17 02:54:00           120
+#> 33             26  2016-03-17 02:54:00  2016-03-17 02:56:00           120
+#> 34             21  2016-03-17 02:56:00  2016-03-17 02:56:00             0
+#> 35             21  2016-03-17 02:56:00  2016-03-17 02:58:00           120
+#> 36             21  2016-03-17 02:58:00  2016-03-17 03:00:00           120
+#> 37             21  2016-03-17 03:00:00  2016-03-17 03:02:00           120
+#> 38             21  2016-03-17 03:02:00  2016-03-17 03:04:00           120
+#> 39             21  2016-03-17 03:04:00  2016-03-17 03:06:00           120
+#> 40             21  2016-03-17 03:06:00  2016-03-17 03:08:00           120
+#> 41             21  2016-03-17 03:08:00  2016-03-17 03:10:00           120
+#> 42             21  2016-03-17 03:10:00  2016-03-17 03:12:00           120
+#> 43             21  2016-03-17 03:12:00  2016-03-17 03:16:00           240
+#> 44             21  2016-03-17 03:12:00  2016-03-17 03:16:00           240
+#> 45             21  2016-03-17 03:16:00  2016-03-17 03:18:00           120
+#> 46             21  2016-03-17 03:18:00  2016-03-17 03:20:00           120
+#> 47             21  2016-03-17 03:20:00  2016-03-17 03:22:00           120
+#> 48             21  2016-03-17 03:22:00  2016-03-17 03:24:00           120
+#> 49             21  2016-03-17 03:24:00  2016-03-17 03:26:00           120
+#> 50             21  2016-03-17 03:26:00  2016-03-17 03:28:00           120
+#> 51             21  2016-03-17 03:28:00  2016-03-17 03:30:00           120
+#> 52             21  2016-03-17 03:30:00  2016-03-17 03:32:00           120
+#> 53             21  2016-03-17 03:32:00  2016-03-17 03:36:00           240
+#> 54             21  2016-03-17 03:32:00  2016-03-17 03:36:00           240
+#> 55             21  2016-03-17 03:36:00  2016-03-17 03:38:00           120
+#> 56             21  2016-03-17 03:38:00  2016-03-17 03:40:00           120
+#> 57             26  2016-03-17 03:40:00  2016-03-17 03:42:00           120
+#> 58             26  2016-03-17 03:42:00  2016-03-17 03:44:00           120
+#> 59             26  2016-03-17 03:44:00  2016-03-17 03:46:00           120
+#> 60             26  2016-03-17 03:46:00  2016-03-17 03:48:00           120
+#> 61             26  2016-03-17 03:48:00  2016-03-17 03:50:00           120
+#> 62             26  2016-03-17 03:50:00  2016-03-17 03:54:00           240
+#> 63             26  2016-03-17 03:50:00  2016-03-17 03:54:00           240
+#> 64             26  2016-03-17 03:54:00  2016-03-17 04:04:00           600
+#> 65             26  2016-03-17 03:54:00  2016-03-17 04:04:00           600
+#> 66             26  2016-03-17 03:54:00  2016-03-17 04:04:00           600
+#> 67             26  2016-03-17 03:54:00  2016-03-17 04:04:00           600
+#> 68             26  2016-03-17 03:54:00  2016-03-17 04:04:00           600
+#> 69             26  2016-03-17 04:04:00  2016-03-17 04:06:00           120
+#> 70             26  2016-03-17 04:06:00  2016-03-17 04:08:00           120
+#> 71             21  2016-03-17 04:08:00  2016-03-17 04:08:00             0
+#> 72             21  2016-03-17 04:08:00  2016-03-17 04:12:00           240
+#> 73             21  2016-03-17 04:08:00  2016-03-17 04:12:00           240
+#> 74             26  2016-03-17 04:12:00  2016-03-17 04:32:00          1200
+#> 75             26  2016-03-17 04:12:00  2016-03-17 04:32:00          1200
+#> 76             26  2016-03-17 04:12:00  2016-03-17 04:32:00          1200
+#> 77             26  2016-03-17 04:12:00  2016-03-17 04:32:00          1200
+#> 78             26  2016-03-17 04:12:00  2016-03-17 04:32:00          1200
+#> 79             26  2016-03-17 04:12:00  2016-03-17 04:32:00          1200
+#> 80             26  2016-03-17 04:12:00  2016-03-17 04:32:00          1200
+#> 81             26  2016-03-17 04:12:00  2016-03-17 04:32:00          1200
+#> 82             26  2016-03-17 04:12:00  2016-03-17 04:32:00          1200
+#> 83             26  2016-03-17 04:12:00  2016-03-17 04:32:00          1200
+#> 84             26  2016-03-17 04:32:00  2016-03-17 04:34:00           120
+#> 85             26  2016-03-17 04:34:00  2016-03-17 04:38:00           240
+#> 86             26  2016-03-17 04:34:00  2016-03-17 04:38:00           240
+#> 87             26  2016-03-17 04:38:00  2016-03-17 04:44:00           360
+#> 88             26  2016-03-17 04:38:00  2016-03-17 04:44:00           360
+#> 89             26  2016-03-17 04:38:00  2016-03-17 04:44:00           360
+#> 90             26  2016-03-17 04:44:00  2016-03-17 04:48:00           240
+#> 91             26  2016-03-17 04:44:00  2016-03-17 04:48:00           240
+#> 92             26  2016-03-17 04:48:00  2016-03-17 04:50:00           120
+#> 93             26  2016-03-17 04:50:00  2016-03-17 04:54:00           240
+#> 94             26  2016-03-17 04:50:00  2016-03-17 04:54:00           240
+#> 95             26  2016-03-17 04:54:00  2016-03-17 04:56:00           120
+#> 96             26  2016-03-17 04:56:00  2016-03-17 04:58:00           120
+#> 97             26  2016-03-17 04:58:00  2016-03-17 05:00:00           120
+#> 98             26  2016-03-17 05:00:00  2016-03-17 05:02:00           120
+#> 99             26  2016-03-17 05:02:00  2016-03-17 05:04:00           120
+#> 100            26  2016-03-17 05:04:00  2016-03-17 05:06:00           120
+#> 101            31  2016-03-17 05:06:00  2016-03-17 05:06:00             0
+#> 102            26  2016-03-17 05:06:00  2016-03-17 05:08:00           120
+#> 103            31  2016-03-17 05:08:00  2016-03-17 05:10:00           120
+#> 104            26  2016-03-17 05:10:00  2016-03-17 05:10:00             0
+#> 105            26  2016-03-17 05:10:00  2016-03-17 05:12:00           120
+#> 106            26  2016-03-17 05:12:00  2016-03-17 05:14:00           120
+#> 107            26  2016-03-17 05:14:00  2016-03-17 05:16:00           120
+#> 108            26  2016-03-17 05:16:00  2016-03-17 05:18:00           120
+#> 109            31  2016-03-17 05:18:00  2016-03-17 05:20:00           120
+#> 110            26  2016-03-17 05:20:00  2016-03-17 05:20:00             0
+#> 111            26  2016-03-17 05:20:00  2016-03-17 05:22:00           120
+#> 112            26  2016-03-17 05:22:00  2016-03-17 05:24:00           120
+#> 113            26  2016-03-17 05:24:00  2016-03-17 05:26:00           120
+#> 114            26  2016-03-17 05:26:00  2016-03-17 05:28:00           120
+#> 115            26  2016-03-17 05:28:00  2016-03-17 05:30:00           120
+#> 116            26  2016-03-17 05:30:00  2016-03-17 05:32:00           120
+#> 117            26  2016-03-17 05:32:00  2016-03-17 05:34:00           120
+#> 118            26  2016-03-17 05:34:00  2016-03-17 05:36:00           120
+#> 119            26  2016-03-17 05:36:00  2016-03-17 05:38:00           120
+#> 120            26  2016-03-17 05:38:00  2016-03-17 05:40:00           120
+#> 121            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
+#> 122            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
+#> 123            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
+#> 124            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
+#> 125            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
+#> 126            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
+#> 127            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
+#> 128            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
+#> 129            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
+#> 130            26  2016-03-17 05:40:00  2016-03-17 08:36:00         10560
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+#>      archival_timestamp archival_depth chunk
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+#> 219 2016-03-17 08:52:00          39.38     3
+#> 220 2016-03-17 08:54:00          39.38     3
+#> 221 2016-03-17 08:54:00          39.38     3
+#> 222 2016-03-17 08:56:00          44.92     3
+#> 223 2016-03-17 08:58:00          45.38     3
+#> 224 2016-03-17 08:58:00          45.38     3
+#> 225 2016-03-17 09:00:00          45.15     3
+#> 226 2016-03-17 09:00:00          45.15     3
+
+#### Example (2): acdc_access_timesteps()
+acdc_access_timesteps(acdc_simplify(dat_acdc))
+#> acdc_simplify() implemented for type = 'acs'.
+#> [1] 226
+
+#### Example (3): acdc_access_maps()
+acdc_access_maps(acdc_simplify(dat_acdc))
+#> acdc_simplify() implemented for type = 'acs'.
+#> [[1]]
+#> class      : RasterLayer 
+#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
+#> resolution : 257, 463  (x, y)
+#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 1  (min, max)
+#> 
+#> 
+#> [[2]]
+#> class      : RasterLayer 
+#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
+#> resolution : 257, 463  (x, y)
+#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 1  (min, max)
+#> 
+#> 
+#> [[3]]
+#> class      : RasterLayer 
+#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
+#> resolution : 257, 463  (x, y)
+#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 1  (min, max)
+#> 
+#> 
+#> [[4]]
+#> class      : RasterLayer 
+#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
+#> resolution : 257, 463  (x, y)
+#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : NA, NA  (min, max)
+#> 
+#> 
+#> [[5]]
+#> class      : RasterLayer 
+#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
+#> resolution : 257, 463  (x, y)
+#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : NA, NA  (min, max)
+#> 
+#> 
+#> [[6]]
+#> class      : RasterLayer 
+#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
+#> resolution : 257, 463  (x, y)
+#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : NA, NA  (min, max)
+#> 
+#> 
+#> [[7]]
+#> class      : RasterLayer 
+#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
+#> resolution : 257, 463  (x, y)
+#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : NA, NA  (min, max)
+#> 
+#> 
+#> [[8]]
+#> class      : RasterLayer 
+#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
+#> resolution : 257, 463  (x, y)
+#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 1  (min, max)
+#> 
+#> 
+#> [[9]]
+#> class      : RasterLayer 
+#> dimensions : 57, 74, 4218  (nrow, ncol, ncell)
+#> resolution : 257, 463  (x, y)
+#> extent     : 695492.1, 714510.1, 6246657, 6273048  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : NA, NA  (min, max)
+#> 
+#> 
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/acdc_animate_record.html b/docs/reference/acdc_animate_record.html index 3387b9b..ffa57e7 100644 --- a/docs/reference/acdc_animate_record.html +++ b/docs/reference/acdc_animate_record.html @@ -1,67 +1,12 @@ - - - - - - - -Create a html animation of the AC/DC algorithm(s) — acdc_animate_record • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Create a html animation of the AC/DC algorithm(s) — acdc_animate_record • flapper + + - - - - -
    -
    - -
    - -
    +

    Create a html animation of the AC/DC algorithm(s)

    - Source: R/acdc_analyse_record.R + Source: R/acdc_analyse_record.R
    -

    This function is a simple wrapper for acdc_plot_record and saveHTML which creates an animation of the AC* algorithm(s) over time. To implement this function, a named list of arguments for acdc_plot_record, which creates the plots, must be supplied. This is embedded within saveHTML, which creates a folder in the specified directory named `images' that contains a .png file for each time step and an animation as a .html file.

    +

    This function is a simple wrapper for acdc_plot_record and saveHTML which creates an animation of the AC* algorithm(s) over time. To implement this function, a named list of arguments for acdc_plot_record, which creates the plots, must be supplied. This is embedded within saveHTML, which creates a folder in the specified directory named `images' that contains a .png file for each time step and an animation as a .html file.

    +
    + +
    + 
    acdc_animate_record(
+  expr_param,
+  dir = NULL,
+  html_name = "ACDC_algorithm_demo.html",
+  image_name = "ACDC",
+  html_title = "Demonstration of the ACDC Algorithm",
+  html_description = "",
+  navigator = FALSE,
+  ani_height = 1000,
+  ani_width = 1000,
+  ani_res = 150,
+  interval = 0.1,
+  verbose = FALSE,
+  ...
+)
    - 
    acdc_animate_record(
-  expr_param,
-  dir = NULL,
-  html_name = "ACDC_algorithm_demo.html",
-  image_name = "ACDC",
-  html_title = "Demonstration of the ACDC Algorithm",
-  html_description = "",
-  navigator = FALSE,
-  ani_height = 800,
-  ani_width = 800,
-  ani_res = 1200,
-  interval = 0.1,
-  verbose = FALSE,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    expr_param

    A named list of arguments, passed to acdc_plot_record, to create plots.

    dir

    (optional) A string that defines the directory in which to save files. If unsupplied, if available, dir is taken from html_name using dirname.

    html_name

    A string that defines the name of the html file (see `htmlfile' argument in saveHTML).

    image_name

    A string that defines the names of the individual .png files creates (see `img.name' argument in saveHTML).

    html_title, html_description

    Character strings that provide a title and a description that are displayed within the html animation (see `title' and `description' arguments in saveHTML).

    navigator

    A logical variable that defines whether or not to add a navigator panel to the animation (see `navigator' argument in saveHTML).

    ani_height, ani_width, ani_res

    Numbers that define the size and the resolution of the animation (see `ani.height' `ani.width' and `ani.res' arguments in ani.options).

    interval

    A number that defines the time interval between sequential frames (see `interval' argument in ani.options).

    verbose

    A logical or character variable that defines whether or not, or what, to write as a footer to the html animation (see `verbose' argument in ani.options).

    ...

    Additional arguments passed to ani.options.

    - -

    Value

    - -

    The function produces an animation in .html format in the specified directory. A folder named `images' is also produced which contains the images for each time step. The `css' and `js' folders are also produced by saveHTML which creates the animation.

    -

    Details

    - -

    This function requires the animation package.

    -

    Author

    +
    +

    Arguments

    +
    expr_param
    +

    A named list of arguments, passed to acdc_plot_record, to create plots.

    + + +
    dir
    +

    (optional) A string that defines the directory in which to save files. If unsupplied, if available, dir is taken from html_name using dirname.

    + + +
    html_name
    +

    A string that defines the name of the html file (see `htmlfile' argument in saveHTML).

    + + +
    image_name
    +

    A string that defines the names of the individual .png files creates (see `img.name' argument in saveHTML).

    + + +
    html_title, html_description
    +

    Character strings that provide a title and a description that are displayed within the html animation (see `title' and `description' arguments in saveHTML).

    + + +
    navigator
    +

    A logical variable that defines whether or not to add a navigator panel to the animation (see `navigator' argument in saveHTML).

    + +
    ani_height, ani_width, ani_res
    +

    Numbers that define the size and the resolution of the animation (see `ani.height' `ani.width' and `ani.res' arguments in ani.options).

    + + +
    interval
    +

    A number that defines the time interval between sequential frames (see `interval' argument in ani.options).

    + + +
    verbose
    +

    A logical or character variable that defines whether or not, or what, to write as a footer to the html animation (see `verbose' argument in ani.options).

    + + +
    ...
    +

    Additional arguments passed to ani.options.

    + +
    +
    +

    Value

    + + +

    The function produces an animation in .html format in the specified directory. A folder named `images' is also produced which contains the images for each time step. The `css' and `js' folders are also produced by saveHTML which creates the animation.

    +
    +
    +

    Details

    +

    This function requires the animation package.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    dir_current <- getwd()
-setwd(tempdir())
-acdc_record <- acdc_simplify(dat_acdc)
-
    #> acdc_simplify() implemented for type = 'acs'.
    acdc_animate_record(expr_param =
-                     list(record = acdc_record,
-                          add_coastline = list(x = dat_coast, col = "darkgreen"),
-                          plot = 1:5,
-                          fix_zlim = FALSE)
-                    )
-
    #> flapper::acdc_plot_record() called... 
-#> ... Checking function inputs... 
-#> ... Defining data for background plot... 
    #> add_containers = NULL implemented: 'record' does not contain containers.
    #> ... Setting plotting window... 
-#> ... Making plots for each time step ... 
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    #> HTML file created at: ACDC_algorithm_demo.html
    setwd(dir_current)
-
    +
    +

    Examples

    + 
    dir_current <- getwd()
+setwd(tempdir())
+acdc_record <- acdc_simplify(dat_acdc)
+#> acdc_simplify() implemented for type = 'acs'.
+acdc_animate_record(expr_param =
+                     list(record = acdc_record,
+                          add_coastline = list(x = dat_coast, col = "darkgreen"),
+                          plot = 1:5,
+                          fix_zlim = FALSE)
+                    )
+#> flapper::acdc_plot_record() called... 
+#> ... Checking function inputs... 
+#> ... Defining data for background plot... 
+#> add_containers = NULL implemented: 'record' does not contain containers.
+#> ... Setting plotting window... 
+#> ... Making plots for each time step ... 
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+#> HTML file created at: ACDC_algorithm_demo.html
+setwd(dir_current)
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/acdc_archive-class.html b/docs/reference/acdc_archive-class.html index 6030a5d..d9a1324 100644 --- a/docs/reference/acdc_archive-class.html +++ b/docs/reference/acdc_archive-class.html @@ -1,67 +1,12 @@ - - - - - - - -"acdc-archive" class — acdc_archive-class • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -"acdc-archive" class — acdc_archive-class • flapper - - - - + + -
    -
    - -
    - -
    +

    "acdc-archive" class

    - Source: R/acdc_classes.R + Source: R/acdc_classes.R
    -

    An S3 class that defines the object returned by an acoustic-container/depth-contour (AC/DC) algorithm (ac, dc or acdc).

    +

    An S3 class that defines the object returned by an acoustic-container/depth-contour (AC/DC) algorithm (ac, dc or acdc).

    +
    +

    Value

    + + +

    An acdc_archive-class object is a named list that contains the output of a call to ac, dc or acdc. This contains the following elements: `archive', `ts_by_chunk', `time' and `args'.

    + + +

    The main output is the `archive' element. This contains a list of acdc_record-class objects returned by the call(s) to the internal routines that implement the algorithm. If the algorithm is implemented step-wise, this list contains a single element; if the algorithm is implemented chunk-wise, there is one element for each chunk. Each element contains an acdc_record-class object with results of the call to internal routines for that chunk. The results across chunks can be aggregated using acdc_simplify.

    -

    Value

    -

    An acdc_archive-class object is a named list that contains the output of a call to ac, dc or acdc. This contains the following elements: `archive', `ts_by_chunk', `time' and `args'.

    -

    The main output is the `archive' element. This contains a list of acdc_record-class objects returned by the call(s) to the internal routines that implement the algorithm. If the algorithm is implemented step-wise, this list contains a single element; if the algorithm is implemented chunk-wise, there is one element for each chunk. Each element contains an acdc_record-class object with results of the call to internal routines for that chunk. The results across chunks can be aggregated using acdc_simplify.

    The `ts_by_chunk' element is a list, with one element for each chunk, that contains the movement time series that were used in that chunk. Each element contains `acoustics' and `archival' dataframes, though the former is NULL for the DC algorithm and the latter is NULL for the AC algorithm. For the AC* algorithms, if there is more than one chunk, the last observation of each acoustic chunk is the same as the first acoustic observation for the next chunk. This results from splitting chunks at acoustic observations, which enables the results of chunks that are computed independently to be simply aggregated without the loss of any information.

    + +

    The `time' element is a dataframe that defines the times of sequential stages in the algorithm's progression, providing a record of computation time.

    -

    The `args' element is a named list of user inputs that records the parameters used to generate the outputs.

    -

    Author

    + +

    The `args' element is a named list of user inputs that records the parameters used to generate the outputs.

    +
    +
    +

    Author

    Edward Lavender

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/acdc_plot_record-1.png b/docs/reference/acdc_plot_record-1.png index 4b50639..d6abaff 100644 Binary files a/docs/reference/acdc_plot_record-1.png and b/docs/reference/acdc_plot_record-1.png differ diff --git a/docs/reference/acdc_plot_record-2.png b/docs/reference/acdc_plot_record-2.png index 3790dce..8b6f416 100644 Binary files a/docs/reference/acdc_plot_record-2.png and b/docs/reference/acdc_plot_record-2.png differ diff --git a/docs/reference/acdc_plot_record-3.png b/docs/reference/acdc_plot_record-3.png index e162e95..1022def 100644 Binary files a/docs/reference/acdc_plot_record-3.png and b/docs/reference/acdc_plot_record-3.png differ diff --git a/docs/reference/acdc_plot_record-4.png b/docs/reference/acdc_plot_record-4.png index 545da41..aa11d09 100644 Binary files a/docs/reference/acdc_plot_record-4.png and b/docs/reference/acdc_plot_record-4.png differ diff --git a/docs/reference/acdc_plot_record-5.png b/docs/reference/acdc_plot_record-5.png index 2cc4e1f..e406eb3 100644 Binary files a/docs/reference/acdc_plot_record-5.png and b/docs/reference/acdc_plot_record-5.png differ diff --git a/docs/reference/acdc_plot_record.html b/docs/reference/acdc_plot_record.html index 1eb2a6c..a915f6d 100644 --- a/docs/reference/acdc_plot_record.html +++ b/docs/reference/acdc_plot_record.html @@ -1,67 +1,12 @@ - - - - - - - -Plot time-specific maps from the AC/DC algorithm(s) — acdc_plot_record • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Plot time-specific maps from the AC/DC algorithm(s) — acdc_plot_record • flapper - - + + - - -
    -
    - -
    - -
    +

    Plot time-specific maps from the AC/DC algorithm(s)

    - Source: R/acdc_analyse_record.R + Source: R/acdc_analyse_record.R
    -

    This function is used to plot time-specific maps from the AC/DC algorithm(s). To implement the function, an acdc_record-class list from ac, dc or acdc plus acdc_simplify must be supplied, from which the results can be extracted and plotted for specified time steps. For each time step, the function extracts the necessary information; sets up a blank background plot using plot and pretty_axis and then adds requested spatial layers to this plot. Depending on user-inputs, this will usually show a cumulative map of expected time spent in different parts of the study area (from the start of the algorithm to each time point). Coastline, receivers and acoustic containers (if applicable) can be added and customised and the finalised plots can be returned or saved to file.

    +

    This function is used to plot time-specific maps from the AC/DC algorithm(s). To implement the function, an acdc_record-class list from ac, dc or acdc plus acdc_simplify must be supplied, from which the results can be extracted and plotted for specified time steps. For each time step, the function extracts the necessary information; sets up a blank background plot using plot and pretty_axis and then adds requested spatial layers to this plot. Depending on user-inputs, this will usually show a cumulative map of expected time spent in different parts of the study area (from the start of the algorithm to each time point). Coastline, receivers and acoustic containers (if applicable) can be added and customised and the finalised plots can be returned or saved to file.

    - 
    acdc_plot_record(
-  record,
-  type = c("map_cumulative", "map_timestep"),
-  plot = 1,
-  add_coastline = NULL,
-  add_receivers = NULL,
-  add_raster = list(col = rev(grDevices::terrain.colors(255))),
-  add_containers = list(),
-  add_additional = NULL,
-  crop_spatial = FALSE,
-  xlim = NULL,
-  ylim = NULL,
-  fix_zlim = FALSE,
-  pretty_axis_args = list(side = 1:4, axis = list(list(), list(), list(labels = FALSE),
-    list(labels = FALSE)), control_axis = list(las = TRUE), control_sci_notation =
-    list(magnitude = 16L, digits = 0)),
-  par_param = list(),
-  png_param = list(),
-  cl = NULL,
-  varlist = NULL,
-  verbose = TRUE,
-  check = TRUE,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    record

    An acdc_record-class object.

    type

    A character that defines the plotted surface(s): "map_cumulative" plots the cumulative surface and "map_timestep" plots time step-specific surfaces.

    plot

    An integer vector that defines the time steps for which to make plots. If plot = NULL, the function will make a plot for all time steps for which the necessary information is available in record.

    add_coastline

    (optional) A named list of arguments, passed to plot, to add a polygon (i.e., of the coastline), to the plot. If provided, this must contain an `x' element that contains the coastline as a spatial object (e.g., a SpatialPolygonsDataFrame: see dat_coast for an example).

    add_receivers

    (optional) A named list of arguments, passed to points, to add points (i.e., receivers) to the plot. If provided, this must contain an `x' element that is a SpatialPoints object that specifies receiver locations (in the same coordinate reference system as other spatial data).

    add_raster

    (optional) A named list of arguments, passed to image.plot, to plot the RasterLayer of possible locations that is extracted from record.

    add_containers

    (optional) For outputs from the AC* algorithms (ac or acdc), containers is a named list of arguments, passed to plot, to add the acoustic containers to the plot.

    add_additional

    (optional) A stand-alone function, to be executed after the background plot has been made and any specified spatial layers have been added to this, to customise the result (see Examples).

    crop_spatial

    A logical variable that defines whether or not to crop spatial data to lie within the axis limits.

    xlim, ylim, fix_zlim, pretty_axis_args

    Axis control arguments. xlim and ylim control the axis limits, following the rules of the lim argument in pretty_axis. fix_zlim is a logical input that defines whether or not to fix z axis limits across all plots (to facilitate comparisons), or a vector of two numbers that define a custom range for the z axis which is fixed across all plots. fix_zlim = FALSE produces plots in which the z axis is allowed to vary flexibly between time units. Other axis options supported by pretty_axis are implemented by passing a named list of arguments to this function via pretty_axis_args.

    par_param

    (optional) A named list of arguments, passed to par, to control the plotting window. This is executed before plotting is initiated and therefore affects all plots.

    png_param

    (optional) A named list of arguments, passed to png, to save plots to file. If supplied, the plot for each time step is saved separately. The `filename' argument should be the directory in which plots are saved. Plots are then saved as "1.png", "2.png" and so on.

    cl, varlist

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel. If supplied, the function loops over specified time steps in parallel to make plots. This is only implemented if plots are saved to file (i.e., png_param is supplied).

    verbose

    A logical variable that defines whether or not relay messages to the console to monitor function progress.

    check

    A logical variable that defines whether or not to check user inputs to the function before its initiation.

    ...

    Additional arguments, passed to plot, to customise the blank background plot onto which spatial layers are added, such as xlab, ylab and main.

    - -

    Value

    - -

    The function plots the results of the AC* algorithm(s) at specified time steps, with one plot per time step. Plots are saved to file if png_param is supplied.

    -

    See also

    - -

    This function is typically used following calls to ac, dc or acdc and acdc_simplify.

    -

    Author

    +
    + 
    acdc_plot_record(
+  record,
+  type = c("map_cumulative", "map_timestep"),
+  plot = 1,
+  add_coastline = NULL,
+  add_receivers = NULL,
+  add_raster = list(col = rev(grDevices::terrain.colors(255))),
+  add_containers = list(),
+  add_additional = NULL,
+  crop_spatial = FALSE,
+  xlim = NULL,
+  ylim = NULL,
+  fix_zlim = FALSE,
+  pretty_axis_args = list(side = 1:4, axis = list(list(), list(), list(labels = FALSE),
+    list(labels = FALSE)), control_axis = list(las = TRUE), control_sci_notation =
+    list(magnitude = 16L, digits = 0)),
+  par_param = list(),
+  png_param = list(),
+  cl = NULL,
+  varlist = NULL,
+  verbose = TRUE,
+  check = TRUE,
+  ...
+)
    +
    + +
    +

    Arguments

    +
    record
    +

    An acdc_record-class object.

    + + +
    type
    +

    A character that defines the plotted surface(s): "map_cumulative" plots the cumulative surface and "map_timestep" plots time step-specific surfaces.

    + +
    plot
    +

    An integer vector that defines the time steps for which to make plots. If plot = NULL, the function will make a plot for all time steps for which the necessary information is available in record.

    + + +
    add_coastline
    +

    (optional) A named list of arguments, passed to plot, to add a polygon (i.e., of the coastline), to the plot. If provided, this must contain an `x' element that contains the coastline as a spatial object (e.g., a SpatialPolygonsDataFrame: see dat_coast for an example).

    + + +
    add_receivers
    +

    (optional) A named list of arguments, passed to points, to add points (i.e., receivers) to the plot. If provided, this must contain an `x' element that is a SpatialPoints object that specifies receiver locations (in the same coordinate reference system as other spatial data).

    + + +
    add_raster
    +

    (optional) A named list of arguments, passed to image.plot, to plot the RasterLayer of possible locations that is extracted from record.

    + + +
    add_containers
    +

    (optional) For outputs from the AC* algorithms (ac or acdc), containers is a named list of arguments, passed to plot, to add the acoustic containers to the plot.

    + + +
    add_additional
    +

    (optional) A stand-alone function, to be executed after the background plot has been made and any specified spatial layers have been added to this, to customise the result (see Examples).

    + + +
    crop_spatial
    +

    A logical variable that defines whether or not to crop spatial data to lie within the axis limits.

    + + +
    xlim, ylim, fix_zlim, pretty_axis_args
    +

    Axis control arguments. xlim and ylim control the axis limits, following the rules of the lim argument in pretty_axis. fix_zlim is a logical input that defines whether or not to fix z axis limits across all plots (to facilitate comparisons), or a vector of two numbers that define a custom range for the z axis which is fixed across all plots. fix_zlim = FALSE produces plots in which the z axis is allowed to vary flexibly between time units. Other axis options supported by pretty_axis are implemented by passing a named list of arguments to this function via pretty_axis_args.

    + + +
    par_param
    +

    (optional) A named list of arguments, passed to par, to control the plotting window. This is executed before plotting is initiated and therefore affects all plots.

    + + +
    png_param
    +

    (optional) A named list of arguments, passed to png, to save plots to file. If supplied, the plot for each time step is saved separately. The `filename' argument should be the directory in which plots are saved. Plots are then saved as "1.png", "2.png" and so on.

    + + +
    cl, varlist
    +

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel. If supplied, the function loops over specified time steps in parallel to make plots. This is only implemented if plots are saved to file (i.e., png_param is supplied).

    + + +
    verbose
    +

    A logical variable that defines whether or not relay messages to the console to monitor function progress.

    + + +
    check
    +

    A logical variable that defines whether or not to check user inputs to the function before its initiation.

    + + +
    ...
    +

    Additional arguments, passed to plot, to customise the blank background plot onto which spatial layers are added, such as xlab, ylab and main.

    + +
    +
    +

    Value

    + + +

    The function plots the results of the AC* algorithm(s) at specified time steps, with one plot per time step. Plots are saved to file if png_param is supplied.

    +
    +
    +

    See also

    +

    This function is typically used following calls to ac, dc or acdc and acdc_simplify.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Step (1): Implement AC/DC algorithm(s)
-# ... see examples via ac(), dc() and acdc()
-
-#### Step (2): Simplify outputs of the AC/DC algorithm(s)
-dat_acdc <- acdc_simplify(dat_acdc)
-
    #> acdc_simplify() implemented for type = 'acs'.
    
-#### Example (1): The default options simply plot the first surface
-acdc_plot_record(record = dat_acdc)
-
    #> flapper::acdc_plot_record() called... 
-#> ... Checking function inputs... 
-#> ... Defining data for background plot... 
    #> add_containers = NULL implemented: 'record' does not contain containers.
    #> ... Setting plotting window... 
-#> ... Making plots for each time step ... 
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    
-#### Example (2): Define the number of plots to be produced and control the plotting window
-acdc_plot_record(record = dat_acdc,
-                 plot = 1:2,
-                 par_param = list(mfrow = c(1, 2), mar = c(8, 8, 8, 8)))
-
    #> flapper::acdc_plot_record() called... 
-#> ... Checking function inputs... 
-#> ... Defining data for background plot... 
    #> add_containers = NULL implemented: 'record' does not contain containers.
    #> ... Setting plotting window... 
-#> ... Making plots for each time step ... 
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    
-#### Example (3): Add and customise spatial information via add_* args
-## Define a SpatialPoints object of receiver locations
-proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
-proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
-rsp <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")], proj_wgs84)
-rsp <- sp::spTransform(rsp, proj_utm)
-## Plot with receiver locations and coastline, customise the containers and the raster
-acdc_plot_record(record = dat_acdc,
-                 add_coastline = list(x = dat_coast, col = "darkgreen"),
-                 add_receivers = list(x = rsp, pch = 4, col = "royalblue"),
-                 add_containers = list(col = "red"),
-                 add_raster = list(col = rev(topo.colors(100)))
-                 )
-
    #> flapper::acdc_plot_record() called... 
-#> ... Checking function inputs... 
-#> ... Defining data for background plot... 
    #> add_containers = NULL implemented: 'record' does not contain containers.
    #> ... Setting plotting window... 
-#> ... Making plots for each time step ... 
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    
-#### Example (4): Control axis properties
-# ... via smallplot argument for raster, pretty_axis_args, xlim, ylim and fix_zlim
-# ... set crop_spatial = TRUE to crop spatial data within adjusted limits
-acdc_plot_record(record = dat_acdc,
-                 add_coastline = list(x = dat_coast, col = "darkgreen"),
-                 add_receivers = list(x = rsp, pch = 4, col = "royalblue"),
-                 add_containers = list(col = "red"),
-                 add_raster = list(smallplot= c(0.85, 0.9, 0.25, 0.75)),
-                 crop_spatial = TRUE,
-                 pretty_axis_args = list(side = 1:4,
-                                         control_sci_notation =
-                                           list(magnitude = 16L, digits = 0)),
-                 xlim = raster::extent(dat_coast)[1:2],
-                 ylim = raster::extent(dat_coast)[3:4],
-                 fix_zlim = c(0, 1)
-                 )
-
    #> flapper::acdc_plot_record() called... 
-#> ... Checking function inputs... 
-#> ... Defining data for background plot... 
    #> add_containers = NULL implemented: 'record' does not contain containers.
    #> ... Setting plotting window... 
-#> ... Making plots for each time step ... 
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    
-#### Example (5): Modify each plot after it is produced via add_additional
-# Specify a function to add titles to a plot
-add_titles <- function(){
-  mtext(side = 1, "x (UTM)", line = 2)
-  mtext(side = 2, "y (UTM)", line = -8)
-}
-# Make plots with added titles
-acdc_plot_record(record = dat_acdc,
-                 plot = 1:2,
-                 par_param = list(mfrow = c(1, 2), mar = c(8, 8, 8, 8)),
-                 add_coastline = list(x = dat_coast, col = "darkgreen"),
-                 add_receivers = list(x = rsp, pch = 4, col = "royalblue"),
-                 add_containers = list(col = "red"),
-                 add_raster = list(),
-                 crop_spatial = TRUE,
-                 xlim = raster::extent(dat_coast)[1:2],
-                 ylim = raster::extent(dat_coast)[3:4],
-                 add_additional = add_titles
-                 )
-
    #> flapper::acdc_plot_record() called... 
-#> ... Checking function inputs... 
-#> ... Defining data for background plot... 
    #> add_containers = NULL implemented: 'record' does not contain containers.
    #> ... Setting plotting window... 
-#> ... Making plots for each time step ... 
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    
-#### Example (6) Save plots via png_param
-list.files(tempdir())
-
    #>  [1] "25"                       "28"                      
-#>  [3] "35"                       "ACDC_algorithm_demo.html"
-#>  [5] "acdc_log.txt"             "css"                     
-#>  [7] "dot_acdc_log_1.txt"       "dot_acdc_log_2.txt"      
-#>  [9] "dot_acdc_log_3.txt"       "dot_acdc_log_4.txt"      
-#> [11] "dot_acdc_log_5.txt"       "downlit"                 
-#> [13] "filef601236c7a3"          "filef6021d8f5cf"         
-#> [15] "filef602786f553.so"       "filef6079ff375a"         
-#> [17] "images"                   "js"                      
    acdc_plot_record(record = dat_acdc,
-                 plot = 1:2,
-                 png_param = list(filename = tempdir())
-                 )
-
    #> flapper::acdc_plot_record() called... 
-#> ... Checking function inputs... 
    #> '/' added to the directory inputted to the argument 'png_param$filename' ('/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA').
    #> ... Defining data for background plot... 
    #> add_containers = NULL implemented: 'record' does not contain containers.
    #> ... Setting plotting window... 
-#> ... Making plots for each time step ... 
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    list.files(tempdir())
-
    #>  [1] "1.png"                    "2.png"                   
-#>  [3] "25"                       "28"                      
-#>  [5] "35"                       "ACDC_algorithm_demo.html"
-#>  [7] "acdc_log.txt"             "css"                     
-#>  [9] "dot_acdc_log_1.txt"       "dot_acdc_log_2.txt"      
-#> [11] "dot_acdc_log_3.txt"       "dot_acdc_log_4.txt"      
-#> [13] "dot_acdc_log_5.txt"       "downlit"                 
-#> [15] "filef601236c7a3"          "filef6021d8f5cf"         
-#> [17] "filef602786f553.so"       "filef6079ff375a"         
-#> [19] "images"                   "js"                      
    
-#### Example (7) To plot the overall map, you can also just use a
-# ... a raster plotting function like prettyGraphics::pretty_map()
-ext <- update_extent(raster::extent(dat_coast), -1000)
-prettyGraphics::pretty_map(x = ext,
-                           add_rasters = list(x = dat_acdc$map),
-                           add_points = list(x = rsp, pch = "*", col = "red"),
-                           add_polys = list(x = dat_coast, col = "lightgreen"),
-                           crop_spatial = TRUE,
-                           xlab = "Easting", ylab = "Northing"
-                           )
-
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    
-
    +
    +

    Examples

    + 
    #### Step (1): Implement AC/DC algorithm(s)
+# ... see examples via ac(), dc() and acdc()
+
+#### Step (2): Simplify outputs of the AC/DC algorithm(s)
+dat_acdc <- acdc_simplify(dat_acdc)
+#> acdc_simplify() implemented for type = 'acs'.
+
+#### Example (1): The default options simply plot the first surface
+acdc_plot_record(record = dat_acdc)
+#> flapper::acdc_plot_record() called... 
+#> ... Checking function inputs... 
+#> ... Defining data for background plot... 
+#> add_containers = NULL implemented: 'record' does not contain containers.
+#> ... Setting plotting window... 
+#> ... Making plots for each time step ... 
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+
+
+#### Example (2): Define the number of plots to be produced and control the plotting window
+acdc_plot_record(record = dat_acdc,
+                 plot = 1:2,
+                 par_param = list(mfrow = c(1, 2), mar = c(8, 8, 8, 8)))
+#> flapper::acdc_plot_record() called... 
+#> ... Checking function inputs... 
+#> ... Defining data for background plot... 
+#> add_containers = NULL implemented: 'record' does not contain containers.
+#> ... Setting plotting window... 
+#> ... Making plots for each time step ... 
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+
+
+#### Example (3): Add and customise spatial information via add_* args
+## Define a SpatialPoints object of receiver locations
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
+rsp <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")], proj_wgs84)
+rsp <- sp::spTransform(rsp, proj_utm)
+## Plot with receiver locations and coastline, customise the containers and the raster
+acdc_plot_record(record = dat_acdc,
+                 add_coastline = list(x = dat_coast, col = "darkgreen"),
+                 add_receivers = list(x = rsp, pch = 4, col = "royalblue"),
+                 add_containers = list(col = "red"),
+                 add_raster = list(col = rev(topo.colors(100)))
+                 )
+#> flapper::acdc_plot_record() called... 
+#> ... Checking function inputs... 
+#> ... Defining data for background plot... 
+#> add_containers = NULL implemented: 'record' does not contain containers.
+#> ... Setting plotting window... 
+#> ... Making plots for each time step ... 
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+
+#### Example (4): Control axis properties
+# ... via smallplot argument for raster, pretty_axis_args, xlim, ylim and fix_zlim
+# ... set crop_spatial = TRUE to crop spatial data within adjusted limits
+acdc_plot_record(record = dat_acdc,
+                 add_coastline = list(x = dat_coast, col = "darkgreen"),
+                 add_receivers = list(x = rsp, pch = 4, col = "royalblue"),
+                 add_containers = list(col = "red"),
+                 add_raster = list(smallplot= c(0.85, 0.9, 0.25, 0.75)),
+                 crop_spatial = TRUE,
+                 pretty_axis_args = list(side = 1:4,
+                                         control_sci_notation =
+                                           list(magnitude = 16L, digits = 0)),
+                 xlim = raster::extent(dat_coast)[1:2],
+                 ylim = raster::extent(dat_coast)[3:4],
+                 fix_zlim = c(0, 1)
+                 )
+#> flapper::acdc_plot_record() called... 
+#> ... Checking function inputs... 
+#> ... Defining data for background plot... 
+#> add_containers = NULL implemented: 'record' does not contain containers.
+#> ... Setting plotting window... 
+#> ... Making plots for each time step ... 
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+
+
+#### Example (5): Modify each plot after it is produced via add_additional
+# Specify a function to add titles to a plot
+add_titles <- function(){
+  mtext(side = 1, "x (UTM)", line = 2)
+  mtext(side = 2, "y (UTM)", line = -8)
+}
+# Make plots with added titles
+acdc_plot_record(record = dat_acdc,
+                 plot = 1:2,
+                 par_param = list(mfrow = c(1, 2), mar = c(8, 8, 8, 8)),
+                 add_coastline = list(x = dat_coast, col = "darkgreen"),
+                 add_receivers = list(x = rsp, pch = 4, col = "royalblue"),
+                 add_containers = list(col = "red"),
+                 add_raster = list(),
+                 crop_spatial = TRUE,
+                 xlim = raster::extent(dat_coast)[1:2],
+                 ylim = raster::extent(dat_coast)[3:4],
+                 add_additional = add_titles
+                 )
+#> flapper::acdc_plot_record() called... 
+#> ... Checking function inputs... 
+#> ... Defining data for background plot... 
+#> add_containers = NULL implemented: 'record' does not contain containers.
+#> ... Setting plotting window... 
+#> ... Making plots for each time step ... 
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+
+
+#### Example (6) Save plots via png_param
+list.files(tempdir())
+#>  [1] "25"                       "28"                      
+#>  [3] "35"                       "ACDC_algorithm_demo.html"
+#>  [5] "acdc_log.txt"             "css"                     
+#>  [7] "dot_acdc_log_1.txt"       "dot_acdc_log_2.txt"      
+#>  [9] "dot_acdc_log_3.txt"       "dot_acdc_log_4.txt"      
+#> [11] "dot_acdc_log_5.txt"       "downlit"                 
+#> [13] "file77b31494a445"         "file77b3284fa5e6"        
+#> [15] "file77b330cf712d"         "file77b331894d7a"        
+#> [17] "images"                   "js"                      
+acdc_plot_record(record = dat_acdc,
+                 plot = 1:2,
+                 png_param = list(filename = tempdir())
+                 )
+#> flapper::acdc_plot_record() called... 
+#> ... Checking function inputs... 
+#> '/' added to the directory inputted to the argument 'png_param$filename' ('/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226').
+#> ... Defining data for background plot... 
+#> add_containers = NULL implemented: 'record' does not contain containers.
+#> ... Setting plotting window... 
+#> ... Making plots for each time step ... 
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+list.files(tempdir())
+#>  [1] "1.png"                    "2.png"                   
+#>  [3] "25"                       "28"                      
+#>  [5] "35"                       "ACDC_algorithm_demo.html"
+#>  [7] "acdc_log.txt"             "css"                     
+#>  [9] "dot_acdc_log_1.txt"       "dot_acdc_log_2.txt"      
+#> [11] "dot_acdc_log_3.txt"       "dot_acdc_log_4.txt"      
+#> [13] "dot_acdc_log_5.txt"       "downlit"                 
+#> [15] "file77b31494a445"         "file77b3284fa5e6"        
+#> [17] "file77b330cf712d"         "file77b331894d7a"        
+#> [19] "images"                   "js"                      
+
+#### Example (7) To plot the overall map, you can also just use a
+# ... a raster plotting function like prettyGraphics::pretty_map()
+ext <- update_extent(raster::extent(dat_coast), -1000)
+prettyGraphics::pretty_map(x = ext,
+                           add_rasters = list(x = dat_acdc$map),
+                           add_points = list(x = rsp, pch = "*", col = "red"),
+                           add_polys = list(x = dat_coast, col = "lightgreen"),
+                           crop_spatial = TRUE,
+                           xlab = "Easting", ylab = "Northing"
+                           )
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/acdc_plot_trace-1.png b/docs/reference/acdc_plot_trace-1.png index 6267903..0bdb75b 100644 Binary files a/docs/reference/acdc_plot_trace-1.png and b/docs/reference/acdc_plot_trace-1.png differ diff --git a/docs/reference/acdc_plot_trace-2.png b/docs/reference/acdc_plot_trace-2.png index 601d9e1..953c882 100644 Binary files a/docs/reference/acdc_plot_trace-2.png and b/docs/reference/acdc_plot_trace-2.png differ diff --git a/docs/reference/acdc_plot_trace-3.png b/docs/reference/acdc_plot_trace-3.png index e5eaf08..2611631 100644 Binary files a/docs/reference/acdc_plot_trace-3.png and b/docs/reference/acdc_plot_trace-3.png differ diff --git a/docs/reference/acdc_plot_trace.html b/docs/reference/acdc_plot_trace.html index df698f3..db477c4 100644 --- a/docs/reference/acdc_plot_trace.html +++ b/docs/reference/acdc_plot_trace.html @@ -1,69 +1,14 @@ - - - - - - - -Plot AC* container dynamics — acdc_plot_trace • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Plot AC* container dynamics — acdc_plot_trace • flapper - - - - - - - - - - - + + - - -
    -
    - -
    - -
    +

    Plot AC* container dynamics

    - Source: R/acdc_analyse_record.R + Source: R/acdc_analyse_record.R
    -

    This function visually reconstructs the dynamics of an acoustic-container* (AC*) algorithm (i.e., ac or acdc).

    -

    To implement the function, an acdc_record-class object (record) from ac or acdc plus acdc_simplify that defines the outputs of the AC* algorithm is required. A SpatialPointsDataFrame that defines receiver locations and a matrix that defines the daily operational status of each receiver are also required.

    +

    This function visually reconstructs the dynamics of an acoustic-container* (AC*) algorithm (i.e., ac or acdc).

    +

    To implement the function, an acdc_record-class object (record) from ac or acdc plus acdc_simplify that defines the outputs of the AC* algorithm is required. A SpatialPointsDataFrame that defines receiver locations and a matrix that defines the daily operational status of each receiver are also required.

    For each time step, the function plots the probability surface, the receiver(s) at which the individual was detected and the acoustic containers, illustrating how the expansion, contraction and intersection of acoustic containers capture the set of possible locations for an individual through time.

    - 
    acdc_plot_trace(
-  record,
-  plot = NULL,
-  moorings,
-  moorings_matrix,
-  add_raster = list(),
-  add_receiver_1 = list(pch = 4, lwd = 4, col = "darkgreen"),
-  add_receiver_2 = list(pch = 4, lwd = 2, col = "darkorange"),
-  add_receiver_3 = list(pch = 4, lwd = 1, col = "darkred"),
-  add_receiver_n = list(pch = 4, lwd = 2),
-  add_container_ap = list(col = "darkgreen"),
-  add_container_an = list(col = "darkgreen"),
-  add_container_b = list(col = "darkorange"),
-  add_container_c = list(col = scales::alpha("forestgreen", 0.5), density = 20),
-  add_coastline = list(),
-  add_main = list(),
-  ...,
-  par_param = list(),
-  png_param = list(),
-  prompt = TRUE
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    record

    A acdc_record-class object from ac or acdc plus acdc_simplify.

    plot

    An integer vector that defines the time steps for which to make plots. If plot = NULL, the function will make a plot for all time steps for which the necessary information is available in record.

    moorings

    A SpatialPointsDataFrame that defines receiver locations (in the Universe Transverse Mercator coordinate reference system) and receiver IDs (in a column named `receiver_id').

    moorings_matrix

    A matrix that defines, for each day of the study (rows) and each receiver (columns), receivers' operational status (see make_matrix_receivers).

    add_raster

    A named list of arguments, passed to add_sp_raster, to plot the location-probability surface.

    add_receiver_1, add_receiver_2, add_receiver_3, add_receiver_n

    Named lists of arguments, passed to points, to customise the appearance of receivers. add_receiver_1 controls the appearance of the `current' receiver (at which the individual was last or has just been detected); add_receiver_2 controls the appearance of the receiver at which the individual was next detected; add_receiver_3 controls the appearance of the third receiver at which the individual was detected; and add_receiver_n controls the appearance of all remaining active receivers.

    add_container_ap, add_container_an, add_container_b, add_container_c

    Named lists of arguments that control the appearance of acoustic containers. (container_ap defines the boundaries of the individual's location from the perspective of its previous location; container_an defines the boundaries of the individual's location at the moment of detection from the perspective of the receiver that recorded the detection; container_b defines the boundaries of the individual's location from the perspective of the receiver at which the individual was next detected; and container_c defines the boundaries of the individual's location integrated across all of these perspectives; see acdc_record-class.) add_container_ap,add_container_an and add_container_b are passed to lines,SpatialPolygons-method and add_container_c is passed to plot.

    add_coastline

    A named list of arguments, passed to plot, to add coastline to each plot.

    add_main

    A named list of arguments, passed to mtext, to customise the appearance of the plot title. Default plot titles are structured as follows: `Map for t = cumulative time step (detection time step [intermediate time step] time stamp'. When the intermediate time step is one, the individual is detected. At subsequent intermediate time steps, acoustic containers expand and contract.

    ...

    Additional plot customisation options passed to pretty_map.

    par_param

    A named list of arguments, passed to par, to set the plotting window.

    png_param

    (optional) A named list of arguments, passed to png, to save plots to file. If supplied, the plot for each time step is saved separately. The `filename' argument should be the directory in which plots are saved. Plots are then saved as "1.png", "2.png" and so on. If supplied, prompt is ignored (see below).

    prompt

    If png_param is not specified, prompt is a logical variable that defines whether or not to pause function execution between plots and between containers within plots to facilitate interpretation.

    - -

    Value

    - -

    The function returns, for each time step, a plot of the probability surface and acoustic containers.

    -

    See also

    - -

    ac and acdc implement the AC and ACDC algorithms and acdc_simplify simplifies the results. acdc_plot_record and acdc_animate_record provide additional visualisation routines.

    -

    Author

    +
    + 
    acdc_plot_trace(
+  record,
+  plot = NULL,
+  moorings,
+  moorings_matrix,
+  add_raster = list(),
+  add_receiver_1 = list(pch = 4, lwd = 4, col = "darkgreen"),
+  add_receiver_2 = list(pch = 4, lwd = 2, col = "darkorange"),
+  add_receiver_3 = list(pch = 4, lwd = 1, col = "darkred"),
+  add_receiver_n = list(pch = 4, lwd = 2),
+  add_container_ap = list(col = "darkgreen"),
+  add_container_an = list(col = "darkgreen"),
+  add_container_b = list(col = "darkorange"),
+  add_container_c = list(col = scales::alpha("forestgreen", 0.5), density = 20),
+  add_coastline = list(),
+  add_main = list(),
+  ...,
+  par_param = list(),
+  png_param = list(),
+  prompt = TRUE
+)
    +
    +
    +

    Arguments

    +
    record
    +

    A acdc_record-class object from ac or acdc plus acdc_simplify.

    + + +
    plot
    +

    An integer vector that defines the time steps for which to make plots. If plot = NULL, the function will make a plot for all time steps for which the necessary information is available in record.

    + + +
    moorings
    +

    A SpatialPointsDataFrame that defines receiver locations (in the Universe Transverse Mercator coordinate reference system) and receiver IDs (in a column named `receiver_id').

    + + +
    moorings_matrix
    +

    A matrix that defines, for each day of the study (rows) and each receiver (columns), receivers' operational status (see make_matrix_receivers).

    + + +
    add_raster
    +

    A named list of arguments, passed to add_sp_raster, to plot the location-probability surface.

    + + +
    add_receiver_1, add_receiver_2, add_receiver_3, add_receiver_n
    +

    Named lists of arguments, passed to points, to customise the appearance of receivers. add_receiver_1 controls the appearance of the `current' receiver (at which the individual was last or has just been detected); add_receiver_2 controls the appearance of the receiver at which the individual was next detected; add_receiver_3 controls the appearance of the third receiver at which the individual was detected; and add_receiver_n controls the appearance of all remaining active receivers.

    + + +
    add_container_ap, add_container_an, add_container_b, add_container_c
    +

    Named lists of arguments that control the appearance of acoustic containers. (container_ap defines the boundaries of the individual's location from the perspective of its previous location; container_an defines the boundaries of the individual's location at the moment of detection from the perspective of the receiver that recorded the detection; container_b defines the boundaries of the individual's location from the perspective of the receiver at which the individual was next detected; and container_c defines the boundaries of the individual's location integrated across all of these perspectives; see acdc_record-class.) add_container_ap,add_container_an and add_container_b are passed to lines,SpatialPolygons-method and add_container_c is passed to plot.

    + + +
    add_coastline
    +

    A named list of arguments, passed to plot, to add coastline to each plot.

    + + +
    add_main
    +

    A named list of arguments, passed to mtext, to customise the appearance of the plot title. Default plot titles are structured as follows: `Map for t = cumulative time step (detection time step [intermediate time step] time stamp'. When the intermediate time step is one, the individual is detected. At subsequent intermediate time steps, acoustic containers expand and contract.

    + + +
    ...
    +

    Additional plot customisation options passed to pretty_map.

    + + +
    par_param
    +

    A named list of arguments, passed to par, to set the plotting window.

    + + +
    png_param
    +

    (optional) A named list of arguments, passed to png, to save plots to file. If supplied, the plot for each time step is saved separately. The `filename' argument should be the directory in which plots are saved. Plots are then saved as "1.png", "2.png" and so on. If supplied, prompt is ignored (see below).

    + + +
    prompt
    +

    If png_param is not specified, prompt is a logical variable that defines whether or not to pause function execution between plots and between containers within plots to facilitate interpretation.

    + +
    +
    +

    Value

    + + +

    The function returns, for each time step, a plot of the probability surface and acoustic containers.

    +
    +
    +

    See also

    +

    ac and acdc implement the AC and ACDC algorithms and acdc_simplify simplifies the results. acdc_plot_record and acdc_animate_record provide additional visualisation routines.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Prepare example AC algorithm outputs with spatial files
-
-## Define example time series
-id <- 25
-acc <- dat_acoustics[dat_acoustics$individual_id == id, ]
-acc$timestamp <- lubridate::round_date(acc$timestamp, "2 mins")
-acc$key       <- paste0(acc$timestamp, "-", acc$receiver_id)
-acc           <- acc[!duplicated(acc$key), ][1:20, ]
-
-## Define receiver locations ('moorings' SPDF) and activity status matrix
-# Receiver locations
-proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
-proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
-xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
-                        proj_wgs84)
-xy <- sp::spTransform(xy, proj_utm)
-moorings <- sp::SpatialPointsDataFrame(xy, data = dat_moorings)
-# Daily activity status matrix
-as_POSIXct <- function(x) as.POSIXct(paste0(x, "00:00:00"), tz = "UTC")
-moorings_mat <- make_matrix_receivers(dat_moorings,
-                                      delta_t = "days",
-                                      as_POSIXct = as_POSIXct)
-
-## Prepare grid
-# We will use a regular, relatively high resolution grid,
-# focused on a small area around the receivers at which the ID was detected
-grid <- raster::raster(raster::extent(dat_gebco),
-                       res = c(25, 25),
-                       crs = raster::crs(dat_gebco))
-grid <- raster::resample(dat_gebco, grid)
-ext <-
-  raster::extent(
-    rgeos::gBuffer(moorings[moorings$receiver_id %in% acc$receiver_id, ],
-                   width = 10000)
-  )
-grid <- raster::crop(grid, ext)
-grid <- raster::trim(grid)
-raster::plot(grid)
-
    
-## Define detection containers/probability kernels
-# Define detection containers
-moorings <- raster::crop(moorings, grid)
-dat_container <- acs_setup_containers(xy = moorings,
-                                    detection_range = 425,
-                                    coastline = dat_coast,
-                                    boundaries = ext,
-                                    plot = TRUE,
-                                    resolution = 10,
-                                    verbose = TRUE)
-
    #> flapper::acs_setup_detection_containers() called (@ 2022-06-17 09:58:10)... 
-#> ... Checking user inputs... 
-#> ... Plotting background map of area... 
    #> ... Making containers... 
-#> ... Plotting containers on map... 
-#> ... Processing containers... 
-#> ... flapper::acs_setup_detection_containers() call completed (@ 2022-06-17 09:58:11) after ~0.01 minutes. 
    # Define detection container overlaps
-containers_spdf      <- do.call(raster::bind, plyr::compact(dat_containers))
-containers_spdf@data <- dat_moorings
-dat_containers_overlaps <-
-  get_detection_containers_overlap(containers = containers_spdf,
-                                  services = NULL)
-# Define detection probability kernels
-calc_dpr <-
-  function(x){
-    ifelse(x <= 425, stats::plogis(2.5 + -0.02 * x), 0)
-  }
-dat_kernels <- acs_setup_detection_kernels(xy = moorings,
-                                           services = NULL,
-                                           containers = dat_containers,
-                                           overlaps = dat_containers_overlaps,
-                                           calc_detection_pr = calc_dpr,
-                                           bathy = grid)
-
    #> flapper::acs_setup_detection_kernels() called (@ 2022-06-17 09:58:12)... 
-#> ... Setting up function... 
-#> ... Getting receiver-specific kernels (for detection)... 
-#> 
-#> ... ... For receiver 3 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 9 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 18 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 21 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 24 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 26 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 27 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 30 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 31 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 33 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 36 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 37 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 38 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 43 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 45 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 48 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 49 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 50 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 51 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 53 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 55 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 56 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 57 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> ... Getting receiver-specific inverse kernels... 
-#> ... Getting area-wide kernels (for non-detection)... 
-#> ... ... Get unique array designs... 
-#> ... ... Get area wide kernels for each array design... 
-#> 
-#> ... ... ... For design 1/12... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 2/12... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 3/12... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 4/12... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 5/12... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 6/12... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 7/12... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 8/12... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 9/12... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 10/12... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 11/12... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 12/12... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> ... Process detection probability kernels ... 
-#> ... flapper::acs_setup_detection_kernels() call completed (@ 2022-06-17 09:58:23) after ~0.19 minutes. 
    
-## Implement AC algorithm
-out_ac <- ac(acoustics = acc,
-             step = 120,
-             bathy = grid,
-             detection_containers = dat_containers,
-             detection_kernels = dat_kernels,
-             detection_kernels_overlap = dat_containers_overlaps,
-             mobility = 200,
-             save_record_spatial = NULL
-             )
-
    #> flapper::ac() called (@ 2022-06-17 09:58:23)...
    #> flapper::.acs_pl() called (@ 2022-06-17 09:58:23)... 
-#> ... Checking user inputs... 
-#> ... Processing movement time series... 
-#> ... Plotting movement time series (for each chunk)... 
    #> ... Calling .acs() to implement ACDC algorithm on one chunk... 
-#> flapper::.acs() called (@ 2022-06-17 09:58:23)... 
-#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
-#> ... On acoustic time step ('timestep_detection') 1. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |====                                                                  |   5%... On acoustic time step ('timestep_detection') 2. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=======                                                               |  11%... On acoustic time step ('timestep_detection') 3. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 4. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |===============                                                       |  21%... On acoustic time step ('timestep_detection') 5. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |==================                                                    |  26%... On acoustic time step ('timestep_detection') 6. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |======================                                                |  32%... On acoustic time step ('timestep_detection') 7. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |==========================                                            |  37%... On acoustic time step ('timestep_detection') 8. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=============================                                         |  42%... On acoustic time step ('timestep_detection') 9. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 10. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=====================================                                 |  53%... On acoustic time step ('timestep_detection') 11. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 12. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |============================================                          |  63%... On acoustic time step ('timestep_detection') 13. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |================================================                      |  68%... On acoustic time step ('timestep_detection') 14. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |====================================================                  |  74%... On acoustic time step ('timestep_detection') 15. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=======================================================               |  79%... On acoustic time step ('timestep_detection') 16. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is constant ... 
-#> 
  |                                                                            
  |===========================================================           |  84%... On acoustic time step ('timestep_detection') 17. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |===============================================================       |  89%... On acoustic time step ('timestep_detection') 18. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... On internal time step ('timestep_archival') 4. 
-#> ... ... On internal time step ('timestep_archival') 5. 
-#> ... ... On internal time step ('timestep_archival') 6. 
-#> ... ... On internal time step ('timestep_archival') 7. 
-#> ... ... On internal time step ('timestep_archival') 8. 
-#> ... ... On internal time step ('timestep_archival') 9. 
-#> ... ... On internal time step ('timestep_archival') 10. 
-#> 
  |                                                                            
  |==================================================================    |  95%... On acoustic time step ('timestep_detection') 19. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |======================================================================| 100%
-#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
-#> ... flapper::.acs() call completed (@ 2022-06-17 09:58:25) after ~0.03 minutes. 
-#> ... flapper::.acs_pl() call completed (@ 2022-06-17 09:58:25) after ~0.03 minutes. 
    #> flapper::ac() finished (@ 2022-06-17 09:58:25)...
    
-## Simplify outputs
-record <- acdc_simplify(out_ac)
-
    #> acdc_simplify() implemented for type = 'acs'.
    
-#### Example (1): Implement the function with default arguments
-if(interactive()){
-  acdc_plot_trace(record, 1:10, moorings, moorings_mat)
-}
-
-#### Example (2): Customise plot via add_* arguments and ...
-if(interactive()){
-  acdc_plot_trace(record, 1:10, moorings, moorings_mat,
-                  add_raster =
-                    list(plot_method = raster::plot, legend = FALSE),
-                  add_coastline =
-                    list(x = dat_coast, col = scales::alpha("dimgrey", 0.5)),
-                  xlim = c(699000, 711000),
-                  ylim = c(6250000, 6269500))
-}
-
-#### Example (3): Save plots to file via the png_param argument
-con <- paste0(tempdir(), "/acdc_trace/")
-if(!dir.exists(con)) dir.create(con)
-acdc_plot_trace(record, 1:10, moorings, moorings_mat,
-                add_raster =
-                  list(plot_method = raster::plot, legend = FALSE),
-                add_coastline =
-                  list(x = dat_coast, col = scales::alpha("dimgrey", 0.5)),
-                xlim = c(699000, 711000),
-                ylim = c(6250000, 6269500),
-                png_param = list(filename = con),
-                prompt = FALSE)
-list.files(con)
-
    #>  [1] "1.png"  "10.png" "11.png" "12.png" "13.png" "14.png" "15.png" "16.png"
-#>  [9] "17.png" "18.png" "19.png" "2.png"  "20.png" "21.png" "22.png" "23.png"
-#> [17] "24.png" "25.png" "26.png" "27.png" "28.png" "29.png" "3.png"  "30.png"
-#> [25] "31.png" "4.png"  "5.png"  "6.png"  "7.png"  "8.png"  "9.png" 
    
-
    +
    +

    Examples

    + 
    #### Prepare example AC algorithm outputs with spatial files
+
+## Define example time series
+id <- 25
+acc <- dat_acoustics[dat_acoustics$individual_id == id, ]
+acc$timestamp <- lubridate::round_date(acc$timestamp, "2 mins")
+acc$key       <- paste0(acc$timestamp, "-", acc$receiver_id)
+acc           <- acc[!duplicated(acc$key), ][1:20, ]
+
+## Define receiver locations ('moorings' SPDF) and activity status matrix
+# Receiver locations
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
+xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
+                        proj_wgs84)
+xy <- sp::spTransform(xy, proj_utm)
+moorings <- sp::SpatialPointsDataFrame(xy, data = dat_moorings)
+# Daily activity status matrix
+as_POSIXct <- function(x) as.POSIXct(paste0(x, "00:00:00"), tz = "UTC")
+moorings_mat <- make_matrix_receivers(dat_moorings,
+                                      delta_t = "days",
+                                      as_POSIXct = as_POSIXct)
+
+## Prepare grid
+# We will use a regular, relatively high resolution grid,
+# focused on a small area around the receivers at which the ID was detected
+grid <- raster::raster(raster::extent(dat_gebco),
+                       res = c(25, 25),
+                       crs = raster::crs(dat_gebco))
+grid <- raster::resample(dat_gebco, grid)
+ext <-
+  raster::extent(
+    rgeos::gBuffer(moorings[moorings$receiver_id %in% acc$receiver_id, ],
+                   width = 10000)
+  )
+#> Warning: GEOS support is provided by the sf and terra packages among others
+grid <- raster::crop(grid, ext)
+grid <- raster::trim(grid)
+raster::plot(grid)
+
+
+## Define detection containers/probability kernels
+# Define detection containers
+moorings <- raster::crop(moorings, grid)
+dat_container <- acs_setup_containers(xy = moorings,
+                                    detection_range = 425,
+                                    coastline = dat_coast,
+                                    boundaries = ext,
+                                    plot = TRUE,
+                                    resolution = 10,
+                                    verbose = TRUE)
+#> flapper::acs_setup_detection_containers() called (@ 2023-02-19 14:51:32)... 
+#> ... Checking user inputs... 
+#> Warning: 'rownames(xy@data) overwritten with xy$receiver_id.
+#> ... Plotting background map of area... 
+#> ... Making containers... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+#> ... Plotting containers on map... 
+#> ... Processing containers... 
+#> ... flapper::acs_setup_detection_containers() call completed (@ 2023-02-19 14:51:33) after ~0.01 minutes. 
+# Define detection container overlaps
+containers_spdf      <- do.call(raster::bind, plyr::compact(dat_containers))
+containers_spdf@data <- dat_moorings
+dat_containers_overlaps <-
+  get_detection_containers_overlap(containers = containers_spdf,
+                                  services = NULL)
+# Define detection probability kernels
+calc_dpr <-
+  function(x){
+    ifelse(x <= 425, stats::plogis(2.5 + -0.02 * x), 0)
+  }
+dat_kernels <- acs_setup_detection_kernels(xy = moorings,
+                                           services = NULL,
+                                           containers = dat_containers,
+                                           overlaps = dat_containers_overlaps,
+                                           calc_detection_pr = calc_dpr,
+                                           bathy = grid)
+#> flapper::acs_setup_detection_kernels() called (@ 2023-02-19 14:51:34)... 
+#> ... Setting up function... 
+#> ... Getting receiver-specific kernels (for detection)... 
+#> 
+#> ... ... For receiver 3 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 9 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 18 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 21 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 24 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 26 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 27 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 30 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 31 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 33 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 36 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 37 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 38 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 43 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 45 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 48 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 49 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 50 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 51 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 53 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 55 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 56 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 57 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> ... Getting receiver-specific inverse kernels... 
+#> ... Getting area-wide kernels (for non-detection)... 
+#> ... ... Get unique array designs... 
+#> ... ... Get area wide kernels for each array design... 
+#> 
+#> ... ... ... For design 1/12... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 2/12... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 3/12... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 4/12... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 5/12... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 6/12... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 7/12... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 8/12... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 9/12... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 10/12... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 11/12... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 12/12... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> ... Process detection probability kernels ... 
+#> ... flapper::acs_setup_detection_kernels() call completed (@ 2023-02-19 14:51:45) after ~0.19 minutes. 
+
+## Implement AC algorithm
+out_ac <- ac(acoustics = acc,
+             step = 120,
+             bathy = grid,
+             detection_containers = dat_containers,
+             detection_kernels = dat_kernels,
+             detection_kernels_overlap = dat_containers_overlaps,
+             mobility = 200,
+             save_record_spatial = NULL
+             )
+#> flapper::ac() called (@ 2023-02-19 14:51:45)...
+#> flapper::.acs_pl() called (@ 2023-02-19 14:51:45)... 
+#> ... Checking user inputs... 
+#> ... Processing movement time series... 
+#> ... Plotting movement time series (for each chunk)... 
+#> ... Calling .acs() to implement ACDC algorithm on one chunk... 
+#> flapper::.acs() called (@ 2023-02-19 14:51:45)... 
+#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
+#> ... On acoustic time step ('timestep_detection') 1. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====                                                                  |   5%... On acoustic time step ('timestep_detection') 2. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======                                                               |  11%... On acoustic time step ('timestep_detection') 3. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 4. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===============                                                       |  21%... On acoustic time step ('timestep_detection') 5. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==================                                                    |  26%... On acoustic time step ('timestep_detection') 6. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================                                                |  32%... On acoustic time step ('timestep_detection') 7. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  37%... On acoustic time step ('timestep_detection') 8. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================                                         |  42%... On acoustic time step ('timestep_detection') 9. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 10. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================================                                 |  53%... On acoustic time step ('timestep_detection') 11. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 12. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  63%... On acoustic time step ('timestep_detection') 13. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================================================                      |  68%... On acoustic time step ('timestep_detection') 14. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====================================================                  |  74%... On acoustic time step ('timestep_detection') 15. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  79%... On acoustic time step ('timestep_detection') 16. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |===========================================================           |  84%... On acoustic time step ('timestep_detection') 17. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===============================================================       |  89%... On acoustic time step ('timestep_detection') 18. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==================================================================    |  95%... On acoustic time step ('timestep_detection') 19. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================================================| 100%
+#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
+#> ... flapper::.acs() call completed (@ 2023-02-19 14:51:49) after ~0.07 minutes. 
+#> ... flapper::.acs_pl() call completed (@ 2023-02-19 14:51:49) after ~0.07 minutes. 
+#> flapper::ac() finished (@ 2023-02-19 14:51:49)...
+
+
+## Simplify outputs
+record <- acdc_simplify(out_ac)
+#> acdc_simplify() implemented for type = 'acs'.
+
+#### Example (1): Implement the function with default arguments
+if(interactive()){
+  acdc_plot_trace(record, 1:10, moorings, moorings_mat)
+}
+
+#### Example (2): Customise plot via add_* arguments and ...
+if(interactive()){
+  acdc_plot_trace(record, 1:10, moorings, moorings_mat,
+                  add_raster =
+                    list(plot_method = raster::plot, legend = FALSE),
+                  add_coastline =
+                    list(x = dat_coast, col = scales::alpha("dimgrey", 0.5)),
+                  xlim = c(699000, 711000),
+                  ylim = c(6250000, 6269500))
+}
+
+#### Example (3): Save plots to file via the png_param argument
+con <- paste0(tempdir(), "/acdc_trace/")
+if(!dir.exists(con)) dir.create(con)
+acdc_plot_trace(record, 1:10, moorings, moorings_mat,
+                add_raster =
+                  list(plot_method = raster::plot, legend = FALSE),
+                add_coastline =
+                  list(x = dat_coast, col = scales::alpha("dimgrey", 0.5)),
+                xlim = c(699000, 711000),
+                ylim = c(6250000, 6269500),
+                png_param = list(filename = con),
+                prompt = FALSE)
+list.files(con)
+#>  [1] "1.png"  "10.png" "11.png" "12.png" "13.png" "14.png" "15.png" "16.png"
+#>  [9] "17.png" "18.png" "19.png" "2.png"  "20.png" "21.png" "22.png" "23.png"
+#> [17] "24.png" "25.png" "26.png" "27.png" "28.png" "29.png" "3.png"  "30.png"
+#> [25] "31.png" "4.png"  "5.png"  "6.png"  "7.png"  "8.png"  "9.png" 
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/acdc_record-class.html b/docs/reference/acdc_record-class.html index 75a4b46..c4e37c2 100644 --- a/docs/reference/acdc_record-class.html +++ b/docs/reference/acdc_record-class.html @@ -1,67 +1,12 @@ - - - - - - - -"acdc_record" class — acdc_record-class • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -"acdc_record" class — acdc_record-class • flapper - - - - + + -
    -
    - -
    - -
    +

    "acdc_record" class

    - Source: R/acdc_classes.R + Source: R/acdc_classes.R
    -

    An S3 class that defines the object returned by an acoustic-container/depth-contour (AC/DC) algorithm (ac, dc or acdc), after simplification via acdc_simplify or directly from internal routines.

    +

    An S3 class that defines the object returned by an acoustic-container/depth-contour (AC/DC) algorithm (ac, dc or acdc), after simplification via acdc_simplify or directly from internal routines.

    +
    +

    Value

    + + +
    +

    A named list

    +

    An "acdc_record" class object is a named list with the following elements: `map', `record', `time', `args', `chunks' and `simplify'. The main output element is the `map' RasterLayer that shows the expecte time spent in different parts of the study area over the duration of the movement time series. The `record' element records time-specific maps of the possible locations of the individual, and can be used to plot maps of specific time points or to produce animations (for the time steps specified by the save_record_spatial argument). The `time' element is a dataframe that defines the times of sequential stages in the algorithm's progression, providing a record of computation time. The `args' element is a named list of user inputs that record the parameters used to generate the outputs (if save_args = TRUE, otherwise the `args' element is NULL). The `chunks' element is a list with chunk-specific information that is generated if the algorithm is implemented chunk-wise and then simplified via acdc_simplify with the keep_chunks = TRUE argument. The simplify element is a logical value that defines whether or not the object was created from ac/dc/acdc and acdc_simplify or an internal routine. Below, more detail about the `map' and `record' elements is provided.

    +
    -

    Value

    - -

    A named list

    -

    An "acdc_record" class object is a named list with the following elements: `map', `record', `time', `args', `chunks' and `simplify'. The main output element is the `map' RasterLayer that shows the expecte time spent in different parts of the study area over the duration of the movement time series. The `record' element records time-specific maps of the possible locations of the individual, and can be used to plot maps of specific time points or to produce animations (for the time steps specified by the save_record_spatial argument). The `time' element is a dataframe that defines the times of sequential stages in the algorithm's progression, providing a record of computation time. The `args' element is a named list of user inputs that record the parameters used to generate the outputs (if save_args = TRUE, otherwise the `args' element is NULL). The `chunks' element is a list with chunk-specific information that is generated if the algorithm is implemented chunk-wise and then simplified via acdc_simplify with the keep_chunks = TRUE argument. The simplify element is a logical value that defines whether or not the object was created from ac/dc/acdc and acdc_simplify or an internal routine. Below, more detail about the `map' and `record' elements is provided.

    -

    (A) `map'

    +
    +

    (A) `map'

    This is a RasterLayer that defines the locations in which an individual could have been (or was not), given the movement time series. The value in each cell defines the expected proportion of time steps in which the individual could have occupied that location (assuming normalisation has been implemented) given given the algorithm.

    +
    -

    (B) `record'

    -

    This is a temporal record of the possible locations of each individual, with one element for each primary time step. For the AC* algorithms (ac and acdc), the `primary time step' refers to acoustic time steps; for the DC algorithm (dc), the `primary time step' refers to archival time steps. Each element contains (a) a dataframe with the information for that time step and (b) a list of spatial objects, one for each `secondary time step' that record spatial outputs of the algorithm, as specified by save_record_spatial (see below). For the AC* algorithms, `secondary time steps' are the time steps in-between acoustic observations; for the DC algorithm, primary and secondary time steps are the same.

    -

    (i) record$dat

    + +
    +

    (B) `record'

    +

    This is a temporal record of the possible locations of each individual, with one element for each primary time step. For the AC* algorithms (ac and acdc), the `primary time step' refers to acoustic time steps; for the DC algorithm (dc), the `primary time step' refers to archival time steps. Each element contains (a) a dataframe with the information for that time step and (b) a list of spatial objects, one for each `secondary time step' that record spatial outputs of the algorithm, as specified by save_record_spatial (see below). For the AC* algorithms, `secondary time steps' are the time steps in-between acoustic observations; for the DC algorithm, primary and secondary time steps are the same.

    +
    + + + +
    +

    (i) record$dat

    For the AC* algorithms, record$dat contains the following information:

    -
      -

    • `timestep_cumulative' is a cumulative vector that defines the time step of each observation (across all acoustic and archival time steps up to the current time step);

      • +

      • `timestep_cumulative' is a cumulative vector that defines the time step of each observation (across all acoustic and archival time steps up to the current time step);

      • `timestep_detection' defines the time step of the detection time series;

      • `timestep_archival' defines the time steps between the current and next acoustic detection (if applicable);

      • `receiver_1_id' and `receiver_2_id' define the receiver at which the individual was detected at the current and next acoustic time steps;

        • @@ -150,60 +104,54 @@

        (i)

      • `time_btw_dets' provides the time (s) between these acoustic detections;

      • `archival_timestamp' defines the time stamp of archival observations between acoustic detections (if applicable);

      • `archival_depth' defines the depth (m) of the individual each archival time step (if applicable);

        • -

      - -

      For the DC algorithm, record$dat contains the archival data for the time step, as inputted, with the following additional columns:

        -

      • `timestep_cumulative' is a cumulative integer that defines the time step;

        • +

      For the DC algorithm, record$dat contains the archival data for the time step, as inputted, with the following additional columns:

      • `timestep_cumulative' is a cumulative integer that defines the time step;

      • `depth_lwr' is a number that defines the lower bound for the individual's possible depth on the bathymetry layer (bathy) given the depth error model (calc_depth_error);

      • `depth_upr' is a number that defines the upper bound for the individual's possible depth on the bathymetry layer (bathy) given the depth error model (calc_depth_error);

      • `availability' is a logical variable that defines whether or not there were any cells on the bathymetry layer (bathy) within the boundaries for the individual's depth at that time step;

        • -
      +
    -

    (ii) record$spatial

    -

    If save_record_spatial > 0, then for those time steps specified by save_record_spatial, each element in `record' contains a `spatial' list, with one element for each secondary time stamp, that records spatial information pertaining to the possible locations of the individual at that time step. For all algorithms, each `spatial' list includes the following elements:

      -

    • `map_timestep' is a RasterLayer that defines the probability that the individual occupied any given cell at a each time step;

      • +
      +

      (ii) record$spatial

      +

      If save_record_spatial > 0, then for those time steps specified by save_record_spatial, each element in `record' contains a `spatial' list, with one element for each secondary time stamp, that records spatial information pertaining to the possible locations of the individual at that time step. For all algorithms, each `spatial' list includes the following elements:

      • `map_timestep' is a RasterLayer that defines the probability that the individual occupied any given cell at a each time step;

      • `map_cumulative' is a RasterLayer that defines the expected number of time steps in which the individual could have occupied each cell (i.e., the sum of `map_timestep' across all time steps from the first time step to the current time step);

        • -

      For the AC* algorithms, this list also includes information on the acoustic containers and location probability:

        -

      • `container_ap` is SpatialPolygonsDataFrame that defines the boundaries of the individual's location from the perspective of its previous location;

        • -

      • `container_an' is a SpatialPolygonsDataFrame that defines the boundaries of the individual's location from the perspective of the receiver that records a detection at the moment of detection (i.e., the detection container);

        • -

      • `container_b` is SpatialPolygonsDataFrame that defines the boundaries of the individual's location from (A) the perspective of

        • -

      • `container_c` is a SpatialPolygonsDataFrame that defines the boundaries of the individual's location at a given time step, accounting for the information provided by previous, current and future locations;

        • -

      • `kernel` is a raster that defines location probability across the grid, accounting for the receiver(s) at which an individual was detected and the receiver(s) at which an individual was not detected and receiver arrangement;

        • -
      - -

      For save_record_spatial = 0L or elements outside of the specified input to save_record_spatial, `spatial' is simply an empty list.

      +

    For the AC* algorithms, this list also includes information on the acoustic containers and location probability:

    • `container_ap` is SpatialPolygonsDataFrame that defines the boundaries of the individual's location from the perspective of its previous location;

      • +

    • `container_an' is a SpatialPolygonsDataFrame that defines the boundaries of the individual's location from the perspective of the receiver that records a detection at the moment of detection (i.e., the detection container);

      • +

    • `container_b` is SpatialPolygonsDataFrame that defines the boundaries of the individual's location from (A) the perspective of

      • +

    • `container_c` is a SpatialPolygonsDataFrame that defines the boundaries of the individual's location at a given time step, accounting for the information provided by previous, current and future locations;

      • +

    • `kernel` is a raster that defines location probability across the grid, accounting for the receiver(s) at which an individual was detected and the receiver(s) at which an individual was not detected and receiver arrangement;

      • +

    For save_record_spatial = 0L or elements outside of the specified input to save_record_spatial, `spatial' is simply an empty list.

    +
    -

    Author

    +
    +
    +

    Author

    Edward Lavender

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/acdc_simplify.html b/docs/reference/acdc_simplify.html index 9aa6802..f2c5efb 100644 --- a/docs/reference/acdc_simplify.html +++ b/docs/reference/acdc_simplify.html @@ -1,67 +1,12 @@ - - - - - - - -Simplify the outputs of the AC/DC algorithms — acdc_simplify • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Simplify the outputs of the AC/DC algorithms — acdc_simplify • flapper + + - - - - -
    -
    - -
    - -
    +

    Simplify the outputs of the AC/DC algorithms

    - Source: R/acdc_simplify.R + Source: R/acdc_simplify.R
    -

    This function simplifies the output of ac, dc and acdc, by processing information from the 'archive' elements of an acdc_archive-class object that hold the results of calls to the workhorse routines. This is especially useful if the algorithm(s) have been applied chunk-wise, in which case the results for each chunk are returned in a list. The function aggregates information across chunks to generate a continuous time series of results and a map of the expected proportion of time steps spent in each grid cell.

    +

    This function simplifies the output of ac, dc and acdc, by processing information from the 'archive' elements of an acdc_archive-class object that hold the results of calls to the workhorse routines. This is especially useful if the algorithm(s) have been applied chunk-wise, in which case the results for each chunk are returned in a list. The function aggregates information across chunks to generate a continuous time series of results and a map of the expected proportion of time steps spent in each grid cell.

    +
    + +
    + 
    acdc_simplify(
+  archive,
+  type = c("acs", "dc"),
+  mask = NULL,
+  normalise = TRUE,
+  keep_chunks = FALSE
+)
    - 
    acdc_simplify(
-  archive,
-  type = c("acs", "dc"),
-  mask = NULL,
-  normalise = TRUE,
-  keep_chunks = FALSE
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - -
    archive

    An acdc_archive-class object returned by ac, dc or acdc.

    type

    A character that defines whether the function should be implemented for the outputs of a call to an AC* algorithm (ac or acdc), in which case type = "acs", or the DC algorithm (dc), in which case type = "dc".

    mask

    (optional) A spatial mask (e.g., the argument passed to bathy in ac, dc or acdc) to mask areas (e.g., land) from the overall map. If implemented, cells in masked areas are assigned NAs rather than a score of 0.

    normalise

    A logical input that defines whether or not to normalise the overall map so that cell scores sum to one. If normalise = FALSE, the overall map represents the expected number of time steps spent in each grid cell; if normalise = TRUE, the overall map represents the expected proportion of time steps spent in each grid cell.

    keep_chunks

    A logical variable that defines whether or not to retain all chunk-specific information.

    - -

    Value

    - -

    The function returns an object of class acdc_record-class.

    -

    Details

    - -

    If the ac, dc or acdc function was implemented step-wise, this function simply extracts the necessary information and re-packages it into an acdc_record-class object. For a chunk-wise implementation, the function (a) computes the map of where the individual could have spent more or less time by aggregating the chunk-specific maps) and (b) simplifies chunk-specific records into a single contiguous time series, with re-defined time stamps from the start to the end of the time series (for AC* algorithm(s)) to return an acdc_record-class object.

    -

    See also

    - -

    The AC, DC and ACDC algorithms are implemented by ac, dc and acdc. After simplification, acdc_plot_trace, acdc_plot_record and acdc_animate_record can be implemented to visualise time-specific results.

    -

    Author

    +
    +

    Arguments

    +
    archive
    +

    An acdc_archive-class object returned by ac, dc or acdc.

    + + +
    type
    +

    A character that defines whether the function should be implemented for the outputs of a call to an AC* algorithm (ac or acdc), in which case type = "acs", or the DC algorithm (dc), in which case type = "dc".

    + +
    mask
    +

    (optional) A spatial mask (e.g., the argument passed to bathy in ac, dc or acdc) to mask areas (e.g., land) from the overall map. If implemented, cells in masked areas are assigned NAs rather than a score of 0.

    + + +
    normalise
    +

    A logical input that defines whether or not to normalise the overall map so that cell scores sum to one. If normalise = FALSE, the overall map represents the expected number of time steps spent in each grid cell; if normalise = TRUE, the overall map represents the expected proportion of time steps spent in each grid cell.

    + + +
    keep_chunks
    +

    A logical variable that defines whether or not to retain all chunk-specific information.

    + +
    +
    +

    Value

    + + +

    The function returns an object of class acdc_record-class.

    +
    +
    +

    Details

    +

    If the ac, dc or acdc function was implemented step-wise, this function simply extracts the necessary information and re-packages it into an acdc_record-class object. For a chunk-wise implementation, the function (a) computes the map of where the individual could have spent more or less time by aggregating the chunk-specific maps) and (b) simplifies chunk-specific records into a single contiguous time series, with re-defined time stamps from the start to the end of the time series (for AC* algorithm(s)) to return an acdc_record-class object.

    +
    +
    +

    See also

    +

    The AC, DC and ACDC algorithms are implemented by ac, dc and acdc. After simplification, acdc_plot_trace, acdc_plot_record and acdc_animate_record can be implemented to visualise time-specific results.

    +
    +
    +

    Author

    Edward Lavender

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/acs_setup_containers-1.png b/docs/reference/acs_setup_containers-1.png index e8335a6..5abcf87 100644 Binary files a/docs/reference/acs_setup_containers-1.png and b/docs/reference/acs_setup_containers-1.png differ diff --git a/docs/reference/acs_setup_containers-2.png b/docs/reference/acs_setup_containers-2.png index fa2cd54..c7bd26a 100644 Binary files a/docs/reference/acs_setup_containers-2.png and b/docs/reference/acs_setup_containers-2.png differ diff --git a/docs/reference/acs_setup_containers-3.png b/docs/reference/acs_setup_containers-3.png index 9bd5c44..686504b 100644 Binary files a/docs/reference/acs_setup_containers-3.png and b/docs/reference/acs_setup_containers-3.png differ diff --git a/docs/reference/acs_setup_containers.html b/docs/reference/acs_setup_containers.html index 7ba1eb4..f86870f 100644 --- a/docs/reference/acs_setup_containers.html +++ b/docs/reference/acs_setup_containers.html @@ -1,67 +1,12 @@ - - - - - - - -Setup the detection containers required for the AC* algorithm(s) — acs_setup_containers • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Setup the detection containers required for the AC* algorithm(s) — acs_setup_containers • flapper - + + - - - -
    -
    - -
    - -
    +

    Setup the detection containers required for the AC* algorithm(s)

    - Source: R/acs_setup.R + Source: R/acs_setup.R
    @@ -123,568 +65,705 @@

    Setup the detection containers required for the AC* algorithm(s)

    This function produces the detection containers required by the acoustic-container (AC) and acoustic-container depth-contour (ACDC) algorithms.

    - 
    acs_setup_containers(
-  xy,
-  detection_range,
-  coastline = NULL,
-  boundaries = NULL,
-  plot = FALSE,
-  verbose = TRUE,
-  ...
-)
    +
    + 
    acs_setup_containers(
+  xy,
+  detection_range,
+  coastline = NULL,
+  boundaries = NULL,
+  plot = FALSE,
+  verbose = TRUE,
+  ...
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    xy

    A SpatialPointsDataFrame object that defines receiver IDs and locations. The data slot must include a dataframe with a column that provides a unique, integer identifier for each receiver (`receiver_id'). The coordinate reference system should be the Universal Transverse Mercator system with distances in metres (to match detection_range, see below).

    detection_range

    A number that defines the maximum detection range (m) at which an individual could be detected from a receiver.

    coastline

    (optional) A SpatialPolygonsDataFrame-class object that defines the coastline in an area. If provided, detection containers are processed to remove any areas on land. Algorithm speed declines with the complexity of the coastline.

    boundaries

    (optional) An extent object that defines the boundaries of an area within which individuals are assumed to have remained. If provided, acoustic containers are processed to remain within this area.

    plot

    A logical input that defines whether or not to produce a plot of the area, including receivers, the coastline and the area boundaries (if provided), and acoustic containers. This is useful for checking purposes but it can reduce algorithm speed.

    verbose

    A logical input that defines whether or not to print messages to the console to relay function progress.

    ...

    Additional arguments passed to get_detection_containers and, ultimately, gBuffer, except byid which is necessarily TRUE.

    +
    +

    Arguments

    +
    xy
    +

    A SpatialPointsDataFrame object that defines receiver IDs and locations. The data slot must include a dataframe with a column that provides a unique, integer identifier for each receiver (`receiver_id'). The coordinate reference system should be the Universal Transverse Mercator system with distances in metres (to match detection_range, see below).

    -

    Value

    -

    The function returns a list of SpatialPolygonsDataFrame-class objects, with one element for all numbers from 1 to the maximum receiver number (xy$receiver_id). Any list elements that do not correspond to receivers contain a NULL element. List elements that correspond to receivers contain a SpatialPolygonsDataFrame-class object containing the detection container for that receiver.

    -

    Details

    +
    detection_range
    +

    A number that defines the maximum detection range (m) at which an individual could be detected from a receiver.

    -

    Given a detection at a particular receiver at a particular time, the detection container defines the boundaries of the area around a receiver within which the individual must have been located (from the perspective of that receiver).

    -

    For the AC* algorithms, note that in some coastal settings the representation of detection containers as SpatialPolygonsDataFrame-class objects may cause a mismatch with detection kernels and the bathymetry raster in terms of what is defined as water versus land. At the time of writing, in the AC* algorithms the detection kernels/bathymetry data take precedence, with any grid cells that have a value of NA masked, even if within `detection containers'. In the future, these disparities should be resolved by redefining detection containers on the bathymetry grid too.

    -

    Author

    -

    Edward Lavender

    +
    coastline
    +

    (optional) A SpatialPolygonsDataFrame-class object that defines the coastline in an area. If provided, detection containers are processed to remove any areas on land. Algorithm speed declines with the complexity of the coastline.

    + + +
    boundaries
    +

    (optional) An extent object that defines the boundaries of an area within which individuals are assumed to have remained. If provided, acoustic containers are processed to remain within this area.

    + + +
    plot
    +

    A logical input that defines whether or not to produce a plot of the area, including receivers, the coastline and the area boundaries (if provided), and acoustic containers. This is useful for checking purposes but it can reduce algorithm speed.

    -

    Examples

    - 
    #### Define data for acs_setup_containers()
-## Define coordinates of receivers as SpatialPointsDataFrame with UTM CRS
-# CRS of receiver locations as recorded in dat_moorings
-proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
-# CRS of receiver locations required
-proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
-# Define SpatialPoints object
-xy_wgs84 <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")], proj_wgs84)
-xy_utm <- sp::spTransform(xy_wgs84, proj_utm)
-# Link with receiver IDs to define a SpatialPointsDataFrame
-xy_utm <-
- sp::SpatialPointsDataFrame(xy_utm,
-                            dat_moorings[, "receiver_id", drop = FALSE])
 
-#### Example (1): Define a list of containers with specified parameters
-# ... (Argument values are small to reduce computation time for examples)
-containers <- acs_setup_containers(xy = xy_utm,
-                                 detection_range = 500
-                                 )
-
    #> flapper::acs_setup_detection_containers() called (@ 2022-06-17 09:58:36)... 
-#> ... Checking user inputs... 
-#> ... Making containers... 
-#> ... Processing containers... 
-#> ... flapper::acs_setup_detection_containers() call completed (@ 2022-06-17 09:58:36) after ~0 minutes. 
    # A list of SpatialPolygonsDataFrames is returned
-# with elements from 1:max(xy_utm$receiver_id)
-# NULL elements correspond to numbers in this sequence that do not refer to receivers
-# Otherwise a SpatialPolygonsDataFrame is returned with all the containers for that receiver
-containers
-
    #> [[1]]
-#> NULL
-#> 
-#> [[2]]
-#> NULL
-#> 
-#> [[3]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 705972.2, 706972.2, 6253501, 6254501  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :           3, 706472.237977747, 6254001.47143853,        1 
-#> 
-#> [[4]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 709257.8, 710257.8, 6267227, 6268227  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :           4, 709757.838706845, 6267726.89057173,        1 
-#> 
-#> [[5]]
-#> NULL
-#> 
-#> [[6]]
-#> NULL
-#> 
-#> [[7]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 708276.6, 709276.6, 6268637, 6269637  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :           7, 708776.612630041, 6269137.04656454,        1 
-#> 
-#> [[8]]
-#> NULL
-#> 
-#> [[9]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 705539.9, 706539.9, 6253830, 6254830  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :           9, 706039.851551317, 6254329.75898771,        1 
-#> 
-#> [[10]]
-#> NULL
-#> 
-#> [[11]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 707042.3, 708042.3, 6267227, 6268227  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,   receiver_long,    receiver_lat, optional 
-#> value       :          11, 707542.34971065, 6267727.0245263,        1 
-#> 
-#> [[12]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 709576.1, 710576.1, 6266821, 6267821  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          12, 710076.090170494, 6267320.89031923,        1 
-#> 
-#> [[13]]
-#> NULL
-#> 
-#> [[14]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 703120.8, 704120.8, 6265789, 6266789  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          14, 703620.828045288, 6266289.28828596,        1 
-#> 
-#> [[15]]
-#> NULL
-#> 
-#> [[16]]
-#> NULL
-#> 
-#> [[17]]
-#> NULL
-#> 
-#> [[18]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 708105.6, 709105.6, 6261775, 6262775  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          18, 708605.560505287, 6262275.05546168,        1 
-#> 
-#> [[19]]
-#> NULL
-#> 
-#> [[20]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 702012.6, 703012.6, 6264400, 6265400  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          20, 702512.639477486, 6264900.03635278,        1 
-#> 
-#> [[21]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 708244.2, 709244.2, 6252351, 6253351  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          21, 708744.224623811, 6252850.83006878,        1 
-#> 
-#> [[22]]
-#> NULL
-#> 
-#> [[23]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 702364.7, 703364.7, 6264861, 6265861  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          23, 702864.703528681, 6265360.98651514,        1 
-#> 
-#> [[24]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 708644.6, 709644.6, 6261965, 6262965  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          24, 709144.620204365, 6262465.13201869,        1 
-#> 
-#> [[25]]
-#> NULL
-#> 
-#> [[26]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 708775.6, 709775.6, 6252617, 6253617  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          26, 709275.587533625, 6253116.72186051,        1 
-#> 
-#> [[27]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 703910.1, 704910.1, 6249743, 6250743  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          27, 704410.062684187, 6250242.84019987,        1 
-#> 
-#> [[28]]
-#> NULL
-#> 
-#> [[29]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 699113.2, 700113.2, 6267058, 6268058  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          29, 699613.246077539, 6267558.48978002,        1 
-#> 
-#> [[30]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 707295.1, 708295.1, 6252403, 6253403  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          30, 707795.055093706, 6252902.81442825,        1 
-#> 
-#> [[31]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 709290.5, 710290.5, 6252776, 6253776  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          31, 709790.510737235, 6253275.94670318,        1 
-#> 
-#> [[32]]
-#> NULL
-#> 
-#> [[33]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 706823.1, 707823.1, 6252924, 6253924  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          33, 707323.074814243, 6253424.16474594,        1 
-#> 
-#> [[34]]
-#> NULL
-#> 
-#> [[35]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 708090.7, 709090.7, 6262787, 6263787  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          35, 708590.650204488, 6263287.07874507,        1 
-#> 
-#> [[36]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 708931.1, 709931.1, 6254563, 6255563  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          36, 709431.056489983, 6255062.70399093,        1 
-#> 
-#> [[37]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 706400.2, 707400.2, 6251298, 6252298  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          37, 706900.208559446, 6251798.00038536,        1 
-#> 
-#> [[38]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 707271.9, 708271.9, 6261487, 6262487  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          38, 707771.919408766, 6261986.83813631,        1 
-#> 
-#> [[39]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 704831, 705831, 6264713, 6265713  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          39, 705331.007064075, 6265212.51343058,        1 
-#> 
-#> [[40]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 708918.4, 709918.4, 6267669, 6268669  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          40, 709418.368318636, 6268169.10033173,        1 
-#> 
-#> [[41]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 703076, 704076, 6266036, 6267036  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          41, 703576.003622304, 6266536.09000155,        1 
-#> 
-#> [[42]]
-#> NULL
-#> 
-#> [[43]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 707489.4, 708489.4, 6252351, 6253351  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          43, 707989.389162253, 6252851.01070556,        1 
-#> 
-#> [[44]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 709587.4, 710587.4, 6266178, 6267178  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          44, 710087.448896256, 6266678.41000209,        1 
-#> 
-#> [[45]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 708634.5, 709634.5, 6253011, 6254011  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,    receiver_lat, optional 
-#> value       :          45, 709134.451181599, 6253511.1606833,        1 
-#> 
-#> [[46]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 702030.4, 703030.4, 6265101, 6266101  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          46, 702530.410574209, 6265601.37925326,        1 
-#> 
-#> [[47]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 702512.8, 703512.8, 6265823, 6266823  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          47, 703012.757869926, 6266323.23956501,        1 
-#> 
-#> [[48]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 706695.3, 707695.3, 6253239, 6254239  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          48, 707195.281171695, 6253739.36429899,        1 
-#> 
-#> [[49]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 705852.3, 706852.3, 6253784, 6254784  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          49, 706352.314484401, 6254283.62589339,        1 
-#> 
-#> [[50]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 707425.6, 708425.6, 6260558, 6261558  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          50, 707925.605617203, 6261057.79757075,        1 
-#> 
-#> [[51]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 706707.4, 707707.4, 6260511, 6261511  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          51, 707207.430187169, 6261011.42556153,        1 
-#> 
-#> [[52]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 702198.1, 703198.1, 6265474, 6266474  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          52, 702698.057272382, 6265973.99135867,        1 
-#> 
-#> [[53]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 705558.6, 706558.6, 6254034, 6255034  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          53, 706058.562480969, 6254534.03230611,        1 
-#> 
-#> [[54]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 701922.5, 702922.5, 6264753, 6265753  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          54, 702422.531139993, 6265252.59847609,        1 
-#> 
-#> [[55]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 709905.8, 710905.8, 6252868, 6253868  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          55, 710405.757752217, 6253367.62261389,        1 
-#> 
-#> [[56]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 709123.1, 710123.1, 6252797, 6253797  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          56, 709623.053614371, 6253296.88416775,        1 
-#> 
-#> [[57]]
-#> class       : SpatialPolygonsDataFrame 
-#> features    : 1 
-#> extent      : 707967.6, 708967.6, 6252362, 6253362  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> variables   : 4
-#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
-#> value       :          57, 708467.606224498, 6252861.98611045,        1 
-#> 
    
-#### Example (2): Visualise the containers produced via plot = TRUE
-containers <- acs_setup_containers(xy = xy_utm,
-                                  detection_range = 500,
-                                  plot = TRUE
-                                  )
-
    #> flapper::acs_setup_detection_containers() called (@ 2022-06-17 09:58:36)... 
-#> ... Checking user inputs... 
-#> ... Plotting background map of area... 
    #> ... Making containers... 
-#> ... Plotting containers on map... 
-#> ... Processing containers... 
-#> ... flapper::acs_setup_detection_containers() call completed (@ 2022-06-17 09:58:36) after ~0 minutes. 
    
-#### Example (3): Remove areas of the containers that overlap with coastline
-containers <- acs_setup_containers(xy = xy_utm,
-                                  detection_range = 500,
-                                  plot = TRUE,
-                                  coastline = dat_coast
-                                  )
-
    #> flapper::acs_setup_detection_containers() called (@ 2022-06-17 09:58:36)... 
-#> ... Checking user inputs... 
-#> ... Plotting background map of area... 
    #> ... Making containers... 
-#> ... Plotting containers on map... 
-#> ... Processing containers... 
-#> ... flapper::acs_setup_detection_containers() call completed (@ 2022-06-17 09:58:37) after ~0.03 minutes. 
    
-#### Example (4): Remove areas of the containers beyond a boundary
-xy_utm_coords <- sp::coordinates(xy_utm)
-boundaries <- raster::extent(min(xy_utm_coords[, 1]),
-                             max(xy_utm_coords[, 1]),
-                             min(xy_utm_coords[, 2]),
-                             max(xy_utm_coords[, 2])
-                        )
-containers <- acs_setup_containers(xy = xy_utm,
-                                  detection_range = 500,
-                                  plot = TRUE,
-                                  coastline = dat_coast,
-                                  boundaries = boundaries
-                                  )
-
    #> flapper::acs_setup_detection_containers() called (@ 2022-06-17 09:58:37)... 
-#> ... Checking user inputs... 
-#> ... Plotting background map of area... 
    #> ... Making containers... 
-#> ... Plotting containers on map... 
-#> ... Processing containers... 
-#> ... flapper::acs_setup_detection_containers() call completed (@ 2022-06-17 09:58:39) after ~0.03 minutes. 
    
-
    +
    verbose
    +

    A logical input that defines whether or not to print messages to the console to relay function progress.

    + + +
    ...
    +

    Additional arguments passed to get_detection_containers and, ultimately, gBuffer, except byid which is necessarily TRUE.

    + +
    +
    +

    Value

    + + +

    The function returns a list of SpatialPolygonsDataFrame-class objects, with one element for all numbers from 1 to the maximum receiver number (xy$receiver_id). Any list elements that do not correspond to receivers contain a NULL element. List elements that correspond to receivers contain a SpatialPolygonsDataFrame-class object containing the detection container for that receiver.

    +
    +
    +

    Details

    +

    Given a detection at a particular receiver at a particular time, the detection container defines the boundaries of the area around a receiver within which the individual must have been located (from the perspective of that receiver).

    +

    For the AC* algorithms, note that in some coastal settings the representation of detection containers as SpatialPolygonsDataFrame-class objects may cause a mismatch with detection kernels and the bathymetry raster in terms of what is defined as water versus land. At the time of writing, in the AC* algorithms the detection kernels/bathymetry data take precedence, with any grid cells that have a value of NA masked, even if within `detection containers'. In the future, these disparities should be resolved by redefining detection containers on the bathymetry grid too.

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    + +
    +

    Examples

    + 
    #### Define data for acs_setup_containers()
+## Define coordinates of receivers as SpatialPointsDataFrame with UTM CRS
+# CRS of receiver locations as recorded in dat_moorings
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+# CRS of receiver locations required
+proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
+# Define SpatialPoints object
+xy_wgs84 <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")], proj_wgs84)
+xy_utm <- sp::spTransform(xy_wgs84, proj_utm)
+# Link with receiver IDs to define a SpatialPointsDataFrame
+xy_utm <-
+ sp::SpatialPointsDataFrame(xy_utm,
+                            dat_moorings[, "receiver_id", drop = FALSE])
+
+#### Example (1): Define a list of containers with specified parameters
+# ... (Argument values are small to reduce computation time for examples)
+containers <- acs_setup_containers(xy = xy_utm,
+                                 detection_range = 500
+                                 )
+#> flapper::acs_setup_detection_containers() called (@ 2023-02-19 14:52:01)... 
+#> ... Checking user inputs... 
+#> ... Making containers... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Processing containers... 
+#> ... flapper::acs_setup_detection_containers() call completed (@ 2023-02-19 14:52:01) after ~0 minutes. 
+# A list of SpatialPolygonsDataFrames is returned
+# with elements from 1:max(xy_utm$receiver_id)
+# NULL elements correspond to numbers in this sequence that do not refer to receivers
+# Otherwise a SpatialPolygonsDataFrame is returned with all the containers for that receiver
+containers
+#> [[1]]
+#> NULL
+#> 
+#> [[2]]
+#> NULL
+#> 
+#> [[3]]
+#> class       : SpatialPolygonsDataFrame 
+#> features    : 1 
+#> extent      : 705972.2, 706972.2, 6253501, 6254501  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> variables   : 4
+#> names       : receiver_id,    receiver_long,     receiver_lat, optional 
+#> value       :           3, 706472.237977747, 6254001.47143853,        1 
+#> 
+#> [[4]]
+#> class       : SpatialPolygonsDataFrame 
+#> features    : 1 
+#> extent      : 709257.8, 710257.8, 6267227, 6268227  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> variables   : 4
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+#> 
+
+#### Example (2): Visualise the containers produced via plot = TRUE
+containers <- acs_setup_containers(xy = xy_utm,
+                                  detection_range = 500,
+                                  plot = TRUE
+                                  )
+#> flapper::acs_setup_detection_containers() called (@ 2023-02-19 14:52:01)... 
+#> ... Checking user inputs... 
+#> ... Plotting background map of area... 
+#> ... Making containers... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+#> ... Plotting containers on map... 
+#> ... Processing containers... 
+#> ... flapper::acs_setup_detection_containers() call completed (@ 2023-02-19 14:52:01) after ~0 minutes. 
+
+#### Example (3): Remove areas of the containers that overlap with coastline
+containers <- acs_setup_containers(xy = xy_utm,
+                                  detection_range = 500,
+                                  plot = TRUE,
+                                  coastline = dat_coast
+                                  )
+#> flapper::acs_setup_detection_containers() called (@ 2023-02-19 14:52:01)... 
+#> ... Checking user inputs... 
+#> ... Plotting background map of area... 
+#> ... Making containers... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+
+#> ... Plotting containers on map... 
+#> ... Processing containers... 
+#> ... flapper::acs_setup_detection_containers() call completed (@ 2023-02-19 14:52:02) after ~0.01 minutes. 
+
+#### Example (4): Remove areas of the containers beyond a boundary
+xy_utm_coords <- sp::coordinates(xy_utm)
+boundaries <- raster::extent(min(xy_utm_coords[, 1]),
+                             max(xy_utm_coords[, 1]),
+                             min(xy_utm_coords[, 2]),
+                             max(xy_utm_coords[, 2])
+                        )
+containers <- acs_setup_containers(xy = xy_utm,
+                                  detection_range = 500,
+                                  plot = TRUE,
+                                  coastline = dat_coast,
+                                  boundaries = boundaries
+                                  )
+#> flapper::acs_setup_detection_containers() called (@ 2023-02-19 14:52:02)... 
+#> ... Checking user inputs... 
+#> ... Plotting background map of area... 
+#> ... Making containers... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+#> ... Plotting containers on map... 
+#> ... Processing containers... 
+#> ... flapper::acs_setup_detection_containers() call completed (@ 2023-02-19 14:52:03) after ~0.02 minutes. 
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/acs_setup_detection_kernels-1.png b/docs/reference/acs_setup_detection_kernels-1.png index e9fa56e..46d7e0d 100644 Binary files a/docs/reference/acs_setup_detection_kernels-1.png and b/docs/reference/acs_setup_detection_kernels-1.png differ diff --git a/docs/reference/acs_setup_detection_kernels-3.png b/docs/reference/acs_setup_detection_kernels-3.png index e0c4fe1..5a03f06 100644 Binary files a/docs/reference/acs_setup_detection_kernels-3.png and b/docs/reference/acs_setup_detection_kernels-3.png differ diff --git a/docs/reference/acs_setup_detection_kernels-4.png b/docs/reference/acs_setup_detection_kernels-4.png index 24bf64c..29dddbf 100644 Binary files a/docs/reference/acs_setup_detection_kernels-4.png and b/docs/reference/acs_setup_detection_kernels-4.png differ diff --git a/docs/reference/acs_setup_detection_kernels-5.png b/docs/reference/acs_setup_detection_kernels-5.png index 03fa86a..31e7594 100644 Binary files a/docs/reference/acs_setup_detection_kernels-5.png and b/docs/reference/acs_setup_detection_kernels-5.png differ diff --git a/docs/reference/acs_setup_detection_kernels-6.png b/docs/reference/acs_setup_detection_kernels-6.png index a8ab860..d660099 100644 Binary files a/docs/reference/acs_setup_detection_kernels-6.png and b/docs/reference/acs_setup_detection_kernels-6.png differ diff --git a/docs/reference/acs_setup_detection_kernels.html b/docs/reference/acs_setup_detection_kernels.html index 039feeb..5702171 100644 --- a/docs/reference/acs_setup_detection_kernels.html +++ b/docs/reference/acs_setup_detection_kernels.html @@ -1,69 +1,14 @@ - - - - - - - -Setup detection probability kernels for the AC* algorithm(s) — acs_setup_detection_kernels • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Setup detection probability kernels for the AC* algorithm(s) — acs_setup_detection_kernels • flapper - - - - - - - - - + + - - - - -
    -
    - -
    - -
    +

    Setup detection probability kernels for the AC* algorithm(s)

    - Source: R/acs_setup.R + Source: R/acs_setup.R

    This function produces detection probability kernels for incorporation into the acoustic-container* (AC*) algorithms. Within acoustic containers, the incorporation of detection probability kernels reduces uncertainty and increases precision in simulated patterns of space use by up-weighting areas nearer to receivers when an individual is detected and down-weighing areas nearer to receivers when an individual is not detected (see Details).

    -

    To implement the function, a SpatialPointsDataFrame that defines receiver IDs, locations and deployment dates must be supplied (via xy). A record of servicing events for receivers can also be supplied (via services). Detection probability kernels are calculated around each receiver, using a user-defined function based on Euclidean distances (calc_detection_pr) across a raster (bathy). Kernels can be restricted by barriers to movement as defined by NAs in bathy and the boundaries of the area. These kernels are used to weight possible locations around a receiver when an individual is detected.

    +

    To implement the function, a SpatialPointsDataFrame that defines receiver IDs, locations and deployment dates must be supplied (via xy). A record of servicing events for receivers can also be supplied (via services). Detection probability kernels are calculated around each receiver, using a user-defined function based on Euclidean distances (calc_detection_pr) across a raster (bathy). Kernels can be restricted by barriers to movement as defined by NAs in bathy and the boundaries of the area. These kernels are used to weight possible locations around a receiver when an individual is detected.

    For each unique array design (i.e. set of active receivers, given receiver deployment dates and servicing events, if applicable), a detection probability surface across the whole area is also created, which is used to weight possible locations of the individual in the time steps between detections (up-weighting locations away from receivers). By default, these calculations account for any areas of overlap in the detection probability kernels of multiple receivers. This step is computationally demanding, but it can be suppressed or sped-up via the overlaps argument. Outputs are returned in a named list that is designed to be incorporated into the AC* algorithm(s).

    - 
    acs_setup_detection_kernels(
-  xy,
-  services = NULL,
-  containers,
-  overlaps = NULL,
-  calc_detection_pr,
-  bathy,
-  verbose = TRUE
-)
    +
    + 
    acs_setup_detection_kernels(
+  xy,
+  services = NULL,
+  containers,
+  overlaps = NULL,
+  calc_detection_pr,
+  bathy,
+  verbose = TRUE
+)
    +
    + +
    +

    Arguments

    +
    xy
    +

    A SpatialPointsDataFrame that defines receiver IDs, locations and deployment dates. The data slot must include a dataframe with the following columns: an unique, integer identifier for each receiver (`receiver_id') and receiver deployment Dates (`receiver_start_date' and `receiver_end_date'). For receiver locations, the coordinate reference system should be the Universal Transverse Mercator system with distances in metres (as for bathy, below).

    + + +
    services
    +

    (optional) A dataframe that defines receiver IDs and servicing Dates (times during the deployment period of a receiver when it was not active due to servicing). If provided, this must contain the following columns: an integer identifier for serviced receivers (named ‘receiver_id’) and two columns that define the time of the service(s) (‘service_start_date’ and ‘service_end_date’) (see make_matrix_receivers).

    + + +
    containers
    +

    The list of detection containers, with one element for each number from 1:max(xy$receiver_id), from acs_setup_containers.

    + + +
    overlaps
    +

    (optional) A named list, from get_detection_containers_overlap, that defines, for each receiver, for each day over its deployment period, whether or not its detection container overlapped with those of other receivers. If provided, this speeds up detection probability calculations in overlapping regions by focusing on only the subset of receivers with overlapping detection probability kernels. If there are no overlapping receivers, FALSE can be supplied instead to suppress these calculations.

    + + +
    calc_detection_pr
    +

    A function that takes in a vector of distances and returns a vector of detection probabilities (around a receiver). Detection probability should decline to 0 after the detection_range distance from a receiver (see acs_setup_containers).

    + + +
    bathy
    +

    A raster of the bathymetry across an area (see ac). Receiver locations and detection probability kernels are represented across this raster. As for xy, the coordinate reference system should be the Universal Transverse Mercator system with distances in metres. Resolution needs to be sufficiently high such that detection probability can be represented effectively, given calc_detection_pr, but sufficiently low for convenient run times. If bathy contains NAs, it is also taken as a mask that is applied to detection probability kernels to remove `impossible` areas (e.g., on land).

    + -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    xy

    A SpatialPointsDataFrame that defines receiver IDs, locations and deployment dates. The data slot must include a dataframe with the following columns: an unique, integer identifier for each receiver (`receiver_id') and receiver deployment Dates (`receiver_start_date' and `receiver_end_date'). For receiver locations, the coordinate reference system should be the Universal Transverse Mercator system with distances in metres (as for bathy, below).

    services

    (optional) A dataframe that defines receiver IDs and servicing Dates (times during the deployment period of a receiver when it was not active due to servicing). If provided, this must contain the following columns: an integer identifier for serviced receivers (named ‘receiver_id’) and two columns that define the time of the service(s) (‘service_start_date’ and ‘service_end_date’) (see make_matrix_receivers).

    containers

    The list of detection containers, with one element for each number from 1:max(xy$receiver_id), from acs_setup_containers.

    overlaps

    (optional) A named list, from get_detection_containers_overlap, that defines, for each receiver, for each day over its deployment period, whether or not its detection container overlapped with those of other receivers. If provided, this speeds up detection probability calculations in overlapping regions by focusing on only the subset of receivers with overlapping detection probability kernels. If there are no overlapping receivers, FALSE can be supplied instead to suppress these calculations.

    calc_detection_pr

    A function that takes in a vector of distances and returns a vector of detection probabilities (around a receiver). Detection probability should decline to 0 after the detection_range distance from a receiver (see acs_setup_containers).

    bathy

    A raster of the bathymetry across an area (see ac). Receiver locations and detection probability kernels are represented across this raster. As for xy, the coordinate reference system should be the Universal Transverse Mercator system with distances in metres. Resolution needs to be sufficiently high such that detection probability can be represented effectively, given calc_detection_pr, but sufficiently low for convenient run times. If bathy contains NAs, it is also taken as a mask that is applied to detection probability kernels to remove `impossible` areas (e.g., on land).

    verbose

    A logical input that defines whether or not to print messages to the console to relay function progress.

    +
    verbose
    +

    A logical input that defines whether or not to print messages to the console to relay function progress.

    -

    Value

    +
    +
    +

    Value

    + -

    The function returns a named list with five elements:

      -

    1. receiver_specific_kernels. A list, with one element for all integers from 1 to the maximum receiver number. Any elements that do not correspond to receivers contain a NULL element. List elements that correspond to receivers contain a raster of the detection probability kernel around the relevant receiver. Cells values define the detection probability around a receiver, given calc_detection_pr. In the AC* algorithm(s), these kernels are used to up-weight location probabilities near to a receiver when it is detected (following modification to account for overlapping areas, if necessary).

      2. +

      The function returns a named list with five elements:

      1. receiver_specific_kernels. A list, with one element for all integers from 1 to the maximum receiver number. Any elements that do not correspond to receivers contain a NULL element. List elements that correspond to receivers contain a raster of the detection probability kernel around the relevant receiver. Cells values define the detection probability around a receiver, given calc_detection_pr. In the AC* algorithm(s), these kernels are used to up-weight location probabilities near to a receiver when it is detected (following modification to account for overlapping areas, if necessary).

      2. receiver_specific_inv_kernels. A list, as for receiver_specific_kernels, but in which elements contain the inverse detection probability kernels (i.e., 1 - detection probability). In the AC* algorithm(s), these is used to down-weight-weight location probabilities in the overlapping regions between a receiver that recorded detections and others that did not at the same time.

        3. -

      3. array_design_intervals. A dataframe that defines the number and deployment times of each unique array design, resulting from receiver deployment, servicing and removal. In the times between detections, this is used to select the appropriate `background' detection probability surface (see below). This contains the following columns:

          -

        • array_id An integer vector that defines each unique array design.

          • +

        • array_design_intervals. A dataframe that defines the number and deployment times of each unique array design, resulting from receiver deployment, servicing and removal. In the times between detections, this is used to select the appropriate `background' detection probability surface (see below). This contains the following columns:

          • array_id An integer vector that defines each unique array design.

          • array_start_date A Date that defines the start date of each array design.

          • array_end_date A Date that defines the end date of each array design.

            • -

          • array_interval An Interval-class vector that defines the deployment period of each array design.

            • +

          • array_interval An Interval-class vector that defines the deployment period of each array design.

        • bkg_surface_by_design. A list, with one element for each array design, that defines the detection probability surface across all receivers deployed in that phase of the study. In areas that are covered by the detection probability kernel of a single receiver, the detection probability depends only on distance to that receiver (via calc_detection_pr). In areas covered by multiple, overlapping kernels, detection probability represents the combined detection probability across all overlapping kernels (see Details).

        • bkg_inv_surface_by_design. A list, as above for bkg_surface_by_design, but which contains the inverse detection probability surface (i.e., 1 - bkg_surface_by_design). In the AC* algorithm(s), this is used to up-weight areas away from receivers (or, equivalently, down-weight areas near to receivers) in the time steps between detections.

          • -
      - -

      Details

      - +
    +
    +

    Details

    A detection probability kernel is a bivariate probability density function that describes detection probability around a receiver. Typically, this takes the shape of a dome whereby detection probability declines uniformly around a receiver with increasing distance. Accordingly, this function assumes that detection probability kernels only depend on distance (via calc_detection_pr) and are constant in space and time. Spatially variable detection probability kernels can be incorporated just as easily into the AC* algorithm(s) but need to be created manually. For example, in areas of complex coastline, narrow peninsulas that punctuate detection containers may effectively block transmissions from the outer regions of detection containers from being detected at receivers, in which case a model that incorporates the `line of sight' between receivers and the surrounding regions may be appropriate. However, temporally variable detection probability kernels are not currently supported by the AC* algorithm(s).

    The purpose of detection probability kernels within the AC* algorithm(s) is to reduce the uncertainty of the possible positions of an individual within the acoustic containers, both when an individual is detected and when it is not. When an individual is detected at a receiver, a central assumption of the AC* algorithm(s) is that the individual is within a finite radius of that receiver in an area defined as the ‘detection container’. Under the simplest implementation of the algorithm, this represents a threshold detection probability model in which the probability of detection is certain within the container and zero outside. Under this model, the individual is equally likely to have been in any location within the container and all possible locations of the individual are weighted equally. This approach is suitable for the most conservative analyses, since even unlikely positions of the individual receive equal weighting. However, detection probability typically declines with distance around a receiver and the incorporation of this information in the form of kernels around the receiver at which is detected (and any receivers with overlapping kernels) improve precision by increasing the weighting for some areas over others. The way in which this increase in precision is realised over space depends on whether or not detection probability kernels and the timing of detections at multiple receivers overlap.

    In the simplest scenario, an individual is detected at a receiver whose container does not overlap with any other receiver and the kernel simply increases the weight of locations nearest to the receiver (according to a user-specified detection probability function). For some array designs, an alternative possibility is that an individual is detected at a receiver whose container overlaps with other receiver(s). In this case, detection or lack of detection at the same moment at the receivers with overlapping containers provides further information on the location of the individual. One the one hand, if the individual is not detected at the other receiver(s), then the probability that the individual is in the overlapping region(s) is reduced in line with the overlap in detection probability, which decreases the weight of potential locations in these areas. On the other hand, if the individual is detected at effectively the same time at multiple receiver(s), then the individual is more likely to be within the overlapping parts of their containers, and the weight of possible locations here is correspondingly elevated. The definition of ‘effectively’ is context specific but depends on the accuracy with which the clocks of different receivers are synchronised. (For example, ± 5 s might be reasonable.) In these situations, the detection container essentially just acts as a computational device by restricting calculations to the container(s) and ‘cutting’ the probability of detection to zero beyond this area. This process follows the standard rules of probability.

    When an individual is not detected, the detection container grows into a set of ‘acoustic containers’ that contain the set of possible locations for the individual. As they grow, they may encompass other detection containers before they shrink towards the receiver at which the individual is next detected. During this time, the AC* algorithm(s) identify the possible locations of the individual within these areas. Under the most conservative approach, at each time step all positions are treated as equally likely (although normalisation within the algorithm(s) effectively down-weights time steps in which the location of the individual is more uncertain). This includes any positions within the detection containers of other receivers since, under realistic conditions, there is usually a non-zero probability that an individual can be near a receiver and yet remain undetected. However, this is typically unlikely and when the goal of the analysis is to create more precise estimates of space use, the incorporation of detection probability kernel(s) around receivers effectively reduces the probability that the individual is within their detection containers during this time. Again, to incorporate detection probability kernels in this way, it is necessary to account for overlapping detection ranges, where the probability of detection is higher and, therefore, the probability of a possible location in such an area is lower given the absence of a detection. As above, this process follows the laws of probability.

    In summary, in the AC* algorithm(s), detection and acoustic containers describe the spatial extent of our uncertainty when an individual is detected and in the time between detections respectively. The purpose of this function is to pre-process and package the information provided by detection probability kernels in such a way as to facilitate its incorporation into the AC* algorithm(s). This improves the precision of simulated patterns of space use by down- or up-weighting areas according to a model of detection probability. This provides a reasonable overall assessment of the places in which an individual could have spend more or less time over a period of study.

    However, it is worth noting that, within acoustic containers, unrealistic areas may be highlighted in which an individual could not have been located because of movement constraints which are not captured by container-level expansion and contraction. For example, there may be parts of a container that are highly unlikely given a detection at a nearby receiver because they are too far away from the receiver at which the individual was subsequently detected. In the AC*PF algorithm(s), the incorporation of a movement model further reduces uncertainty by accounting for the constraints imposed by an individual’s current position on its next position.

    -

    See also

    - -

    This is one of a number of functions used to set up the AC and ACDC algorithms implemented by ac and acdc: acs_setup_mobility, acs_setup_containers and acs_setup_detection_kernels. This function is supported by make_matrix_receivers, which defines receiver activity statuses; acs_setup_containers, which defines acoustic containers; and get_detection_containers_overlap, which defines detection container overlaps

    -

    Author

    - +
    +
    +

    See also

    +

    This is one of a number of functions used to set up the AC and ACDC algorithms implemented by ac and acdc: acs_setup_mobility, acs_setup_containers and acs_setup_detection_kernels. This function is supported by make_matrix_receivers, which defines receiver activity statuses; acs_setup_containers, which defines acoustic containers; and get_detection_containers_overlap, which defines detection container overlaps

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Set up data for examples
-
-## Define receiver IDs, locations and deployment dates
-# Focus on a subset of receivers for example speed
-moorings <- dat_moorings[1:5, ]
-# Define receiver locations as a SpatialPoints object with a UTM CRS
-proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
-proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
-xy <- sp::SpatialPoints(moorings[, c("receiver_long", "receiver_lat")],
-                        proj_wgs84)
-xy <- sp::spTransform(xy, proj_utm)
-# Link receiver IDs, locations and deployment dates to form a SpatialPointsDataFrame
-# ... Note required column names and class types.
-xy <- sp::SpatialPointsDataFrame(xy, moorings[, c("receiver_id",
-                                                  "receiver_start_date",
-                                                  "receiver_end_date")])
-
-## Define bathymetric map of area for which AC* algorithm(s) will be implemented
-# ... The resolution must be sufficiently high
-# ... such that there are areas with non zero detection probability.
-# ... However, function speed will fall with large, high resolution rasters.
-# ... Here, we set a low resolution for example speed.
-surface <- raster::raster(raster::extent(dat_gebco), res = c(50, 50))
-surface <- raster::resample(dat_gebco, surface)
-
-## Define detection probability function
-# This should depend on distance alone
-# Detection probability should decline to 0 after detection_range
-# ... (defined in flapper::acs_setup_containers()).
-# ... Here, we assume detection_range = 425 m.
-calc_dpr <-
-  function(x){
-    ifelse(x <= 425, stats::plogis(2.5 + -0.02 * x), 0)
-  }
-plot(0:1000, calc_dpr(0:1000), type = "l")
-
    
-## Get detection containers and, if applicable, information on their overlap(s)
-# We'll use the example containers provided in dat_containers
-# We'll get their overlaps via flapper::get_detection_containers_overlap
-overlaps <-
-  get_detection_containers_overlap(
-    containers = get_detection_containers(xy = xy, byid = TRUE)
-  )
-
    
-#### Example (1): Implement function using default options
-kernels <- acs_setup_detection_kernels(xy = xy,
-                                       containers = dat_containers,
-                                       overlaps = overlaps,
-                                       calc_detection_pr = calc_dpr,
-                                       bathy = surface)
-
    #> flapper::acs_setup_detection_kernels() called (@ 2022-06-17 09:58:40)... 
-#> ... Setting up function... 
-#> ... Getting receiver-specific kernels (for detection)... 
-#> 
-#> ... ... For receiver 3 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 4 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 7 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 9 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 11 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> ... Getting receiver-specific inverse kernels... 
-#> ... Getting area-wide kernels (for non-detection)... 
-#> ... ... Get unique array designs... 
-#> ... ... Get area wide kernels for each array design... 
-#> 
-#> ... ... ... For design 1/5... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 2/5... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 3/5... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 4/5... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 5/5... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> ... Process detection probability kernels ... 
-#> ... flapper::acs_setup_detection_kernels() call completed (@ 2022-06-17 09:58:42) after ~0.03 minutes. 
    
-# Examine list elements
-summary(kernels)
-
    #>                               Length Class      Mode
-#> receiver_specific_kernels     11     -none-     list
-#> receiver_specific_inv_kernels 11     -none-     list
-#> array_design_intervals         4     data.frame list
-#> bkg_surface_by_design          5     -none-     list
-#> bkg_inv_surface_by_design      5     -none-     list
    
-# Examine example receiver-specific kernels
-pp <- graphics::par(mfrow = c(1, 2))
-raster::plot(kernels$receiver_specific_kernels[[3]])
-points(xy[xy$receiver_id == 3, ], cex = 2)
-raster::plot(kernels$receiver_specific_kernels[[4]])
-
    points(xy[xy$receiver_id == 4, ], cex = 2)
-
    graphics::par(pp)
-
-# Examine example receiver-specific inverse kernels
-pp <- graphics::par(mfrow = c(1, 2))
-raster::plot(kernels$receiver_specific_inv_kernels[[3]])
-points(xy[xy$receiver_id == 3, ], cex = 2)
-raster::plot(kernels$receiver_specific_inv_kernels[[4]])
-
    points(xy[xy$receiver_id == 4, ], cex = 2)
-
    graphics::par(pp)
-
-# Examine background detection Pr surfaces
-# (for each unique combination of receivers that were deployed)
-pp <- graphics::par(mfrow = c(2, 3), mar = c(0, 0, 0, 0))
-lapply(kernels$bkg_surface_by_design, function(bkg) {
-  raster::plot(bkg, axes = FALSE)
-  graphics::box()
-})
-
    #> [[1]]
-#> NULL
-#> 
-#> [[2]]
-#> NULL
-#> 
-#> [[3]]
-#> NULL
-#> 
-#> [[4]]
-#> NULL
-#> 
-#> [[5]]
-#> NULL
-#> 
    graphics::par(pp)
-
    
-# Examine background inverse detection Pr surfaces
-pp <- graphics::par(mfrow = c(2, 3), mar = c(0, 0, 0, 0))
-lapply(kernels$bkg_inv_surface_by_design, function(bkg) {
-  raster::plot(bkg, axes = FALSE)
-  graphics::box()
-})
-
    #> [[1]]
-#> NULL
-#> 
-#> [[2]]
-#> NULL
-#> 
-#> [[3]]
-#> NULL
-#> 
-#> [[4]]
-#> NULL
-#> 
-#> [[5]]
-#> NULL
-#> 
    graphics::par(pp)
-
    
-
    +
    +

    Examples

    + 
    #### Set up data for examples
+
+## Define receiver IDs, locations and deployment dates
+# Focus on a subset of receivers for example speed
+moorings <- dat_moorings[1:5, ]
+# Define receiver locations as a SpatialPoints object with a UTM CRS
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
+xy <- sp::SpatialPoints(moorings[, c("receiver_long", "receiver_lat")],
+                        proj_wgs84)
+xy <- sp::spTransform(xy, proj_utm)
+# Link receiver IDs, locations and deployment dates to form a SpatialPointsDataFrame
+# ... Note required column names and class types.
+xy <- sp::SpatialPointsDataFrame(xy, moorings[, c("receiver_id",
+                                                  "receiver_start_date",
+                                                  "receiver_end_date")])
+
+## Define bathymetric map of area for which AC* algorithm(s) will be implemented
+# ... The resolution must be sufficiently high
+# ... such that there are areas with non zero detection probability.
+# ... However, function speed will fall with large, high resolution rasters.
+# ... Here, we set a low resolution for example speed.
+surface <- raster::raster(raster::extent(dat_gebco), res = c(50, 50))
+surface <- raster::resample(dat_gebco, surface)
+
+## Define detection probability function
+# This should depend on distance alone
+# Detection probability should decline to 0 after detection_range
+# ... (defined in flapper::acs_setup_containers()).
+# ... Here, we assume detection_range = 425 m.
+calc_dpr <-
+  function(x){
+    ifelse(x <= 425, stats::plogis(2.5 + -0.02 * x), 0)
+  }
+plot(0:1000, calc_dpr(0:1000), type = "l")
+
+
+## Get detection containers and, if applicable, information on their overlap(s)
+# We'll use the example containers provided in dat_containers
+# We'll get their overlaps via flapper::get_detection_containers_overlap
+overlaps <-
+  get_detection_containers_overlap(
+    containers = get_detection_containers(xy = xy, byid = TRUE)
+  )
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+
+#### Example (1): Implement function using default options
+kernels <- acs_setup_detection_kernels(xy = xy,
+                                       containers = dat_containers,
+                                       overlaps = overlaps,
+                                       calc_detection_pr = calc_dpr,
+                                       bathy = surface)
+#> flapper::acs_setup_detection_kernels() called (@ 2023-02-19 14:52:05)... 
+#> ... Setting up function... 
+#> ... Getting receiver-specific kernels (for detection)... 
+#> 
+#> ... ... For receiver 3 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 4 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 7 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 9 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 11 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> ... Getting receiver-specific inverse kernels... 
+#> ... Getting area-wide kernels (for non-detection)... 
+#> ... ... Get unique array designs... 
+#> ... ... Get area wide kernels for each array design... 
+#> 
+#> ... ... ... For design 1/5... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 2/5... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 3/5... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 4/5... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 5/5... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> ... Process detection probability kernels ... 
+#> ... flapper::acs_setup_detection_kernels() call completed (@ 2023-02-19 14:52:07) after ~0.03 minutes. 
+
+# Examine list elements
+summary(kernels)
+#>                               Length Class      Mode
+#> receiver_specific_kernels     11     -none-     list
+#> receiver_specific_inv_kernels 11     -none-     list
+#> array_design_intervals         4     data.frame list
+#> bkg_surface_by_design          5     -none-     list
+#> bkg_inv_surface_by_design      5     -none-     list
+
+# Examine example receiver-specific kernels
+pp <- graphics::par(mfrow = c(1, 2))
+raster::plot(kernels$receiver_specific_kernels[[3]])
+points(xy[xy$receiver_id == 3, ], cex = 2)
+raster::plot(kernels$receiver_specific_kernels[[4]])
+points(xy[xy$receiver_id == 4, ], cex = 2)
+
+graphics::par(pp)
+
+# Examine example receiver-specific inverse kernels
+pp <- graphics::par(mfrow = c(1, 2))
+raster::plot(kernels$receiver_specific_inv_kernels[[3]])
+points(xy[xy$receiver_id == 3, ], cex = 2)
+raster::plot(kernels$receiver_specific_inv_kernels[[4]])
+points(xy[xy$receiver_id == 4, ], cex = 2)
+
+graphics::par(pp)
+
+# Examine background detection Pr surfaces
+# (for each unique combination of receivers that were deployed)
+pp <- graphics::par(mfrow = c(2, 3), mar = c(0, 0, 0, 0))
+lapply(kernels$bkg_surface_by_design, function(bkg) {
+  raster::plot(bkg, axes = FALSE)
+  graphics::box()
+})
+#> [[1]]
+#> NULL
+#> 
+#> [[2]]
+#> NULL
+#> 
+#> [[3]]
+#> NULL
+#> 
+#> [[4]]
+#> NULL
+#> 
+#> [[5]]
+#> NULL
+#> 
+graphics::par(pp)
+
+
+# Examine background inverse detection Pr surfaces
+pp <- graphics::par(mfrow = c(2, 3), mar = c(0, 0, 0, 0))
+lapply(kernels$bkg_inv_surface_by_design, function(bkg) {
+  raster::plot(bkg, axes = FALSE)
+  graphics::box()
+})
+#> [[1]]
+#> NULL
+#> 
+#> [[2]]
+#> NULL
+#> 
+#> [[3]]
+#> NULL
+#> 
+#> [[4]]
+#> NULL
+#> 
+#> [[5]]
+#> NULL
+#> 
+graphics::par(pp)
+
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/acs_setup_mobility-1.png b/docs/reference/acs_setup_mobility-1.png index 9f9022f..af8df94 100644 Binary files a/docs/reference/acs_setup_mobility-1.png and b/docs/reference/acs_setup_mobility-1.png differ diff --git a/docs/reference/acs_setup_mobility-2.png b/docs/reference/acs_setup_mobility-2.png index 78fd92f..da4bd31 100644 Binary files a/docs/reference/acs_setup_mobility-2.png and b/docs/reference/acs_setup_mobility-2.png differ diff --git a/docs/reference/acs_setup_mobility-3.png b/docs/reference/acs_setup_mobility-3.png index e7550b4..1b716a1 100644 Binary files a/docs/reference/acs_setup_mobility-3.png and b/docs/reference/acs_setup_mobility-3.png differ diff --git a/docs/reference/acs_setup_mobility.html b/docs/reference/acs_setup_mobility.html index a659793..7349e79 100644 --- a/docs/reference/acs_setup_mobility.html +++ b/docs/reference/acs_setup_mobility.html @@ -1,67 +1,12 @@ - - - - - - - -Examine the constant `mobility' assumption of the AC* algorithm(s) — acs_setup_mobility • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Examine the constant `mobility' assumption of the AC* algorithm(s) — acs_setup_mobility • flapper - - + + - - -
    -
    - -
    - -
    +

    Examine the constant `mobility' assumption of the AC* algorithm(s)

    - Source: R/acs_setup.R + Source: R/acs_setup.R
    -

    In the simplest and fastest (and only) version of the acoustic-container (AC) and acoustic-container depth-contour (ACDC) algorithms currently implemented by flapper, the rate at which acoustic containers expand and contract depends on a single `mobility' parameter that describes how the set of possible locations for an individual changes through time according to the passive acoustic telemetry data. These changes essentially reflect the maximum horizontal distance that an individual can move in the regularised time steps between sequential detections. However, in some situations, a fixed parameter for horizontal movement may not be well supported. For instance, in cases with archival data (the ACDC algorithm), animals changes dramatically in depth and for which changes in depth are likely to curtail the extent of horizontal movement*. Thus, this function investigates the extent to which the horizontal distance an animal could travel changes through time if the mobility parameter is instead conceptualised as the diagonal distance between sequential depth observations.

    +

    In the simplest and fastest (and only) version of the acoustic-container (AC) and acoustic-container depth-contour (ACDC) algorithms currently implemented by flapper, the rate at which acoustic containers expand and contract depends on a single `mobility' parameter that describes how the set of possible locations for an individual changes through time according to the passive acoustic telemetry data. These changes essentially reflect the maximum horizontal distance that an individual can move in the regularised time steps between sequential detections. However, in some situations, a fixed parameter for horizontal movement may not be well supported. For instance, in cases with archival data (the ACDC algorithm), animals changes dramatically in depth and for which changes in depth are likely to curtail the extent of horizontal movement*. Thus, this function investigates the extent to which the horizontal distance an animal could travel changes through time if the mobility parameter is instead conceptualised as the diagonal distance between sequential depth observations.

    +
    + +
    + 
    acs_setup_mobility(
+  depth,
+  mobility,
+  plot = TRUE,
+  add_mobility = list(col = "royalblue", lwd = 2),
+  add_rug = list(),
+  xlab,
+  ...
+)
    - 
    acs_setup_mobility(
-  depth,
-  mobility,
-  plot = TRUE,
-  add_mobility = list(col = "royalblue", lwd = 2),
-  add_rug = list(),
-  xlab,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - -
    depth

    A vector of depth observations, whose units match the mobility parameter, to be incorporated into the ACDC algorithm. (Note that the ACDC algorithm may drop depth observations internally depending on their alignment with the acoustic time series and so, ideally, pre-processed time series should be passed to depth to ensure inferences correspond directly to the time series modelled by acdc.) Depth observations should be regularly spaced in time (i.e., represent a time series for a single individual, without gaps).

    mobility

    A number, in the same units as depth, that defines the maximum horizontal distance that an individual could move in the time period between archival observations (see acs_setup_containers).

    plot

    A logical variable that defines whether or not to plot the distribution of horizontal distances that the individual could travel, given its depth time series and mobility, as a histogram.

    add_mobility

    (optional) If plot = TRUE, add_mobility is a named list of arguments, passed to abline, to add the mobility parameter as a vertical line to the histogram as a reference point. add_mobility = NULL suppresses this line.

    add_rug

    (optional) If plot = TRUE, add_rug is a named list of arguments, passed to rug, to add the estimated distances to the histogram as a rug. add_rug = NULL suppresses this rug.

    xlab, ...

    Additional arguments, passed to pretty_hist, to customise the histogram.

    - -

    Value

    - -

    The function returns a numeric vector of distances and, if plot = TRUE, a histogram of those distances.

    -

    Details

    +
    +

    Arguments

    +
    depth
    +

    A vector of depth observations, whose units match the mobility parameter, to be incorporated into the ACDC algorithm. (Note that the ACDC algorithm may drop depth observations internally depending on their alignment with the acoustic time series and so, ideally, pre-processed time series should be passed to depth to ensure inferences correspond directly to the time series modelled by acdc.) Depth observations should be regularly spaced in time (i.e., represent a time series for a single individual, without gaps).

    + + +
    mobility
    +

    A number, in the same units as depth, that defines the maximum horizontal distance that an individual could move in the time period between archival observations (see acs_setup_containers).

    + + +
    plot
    +

    A logical variable that defines whether or not to plot the distribution of horizontal distances that the individual could travel, given its depth time series and mobility, as a histogram.

    + + +
    add_mobility
    +

    (optional) If plot = TRUE, add_mobility is a named list of arguments, passed to abline, to add the mobility parameter as a vertical line to the histogram as a reference point. add_mobility = NULL suppresses this line.

    + +
    add_rug
    +

    (optional) If plot = TRUE, add_rug is a named list of arguments, passed to rug, to add the estimated distances to the histogram as a rug. add_rug = NULL suppresses this rug.

    + + +
    xlab, ...
    +

    Additional arguments, passed to pretty_hist, to customise the histogram.

    + +
    +
    +

    Value

    + + +

    The function returns a numeric vector of distances and, if plot = TRUE, a histogram of those distances.

    +
    +
    +

    Details

    The function uses a Pythagorean approximation to estimate the \(distance\) that an individual could travel in each time step (\(t\)), given the maximum horizontal distance that the individual could move (\(mobility\)) and sequential changes in \(depth\), according to the equation:

    $$distance_{t + 1} = \sqrt{mobility^2 + (depth_{t + 1} - depth_{t})^2},$$

    where \(depth_{t + 1}\) for the final (\(n^{th}\)) observation is defined as \(depth_{t = n}\) and thus \(distance_{t = n} = mobility\).

    *If the horizontal distances that an individual could travel are not very variable, then the benefits of a single mobility parameter are likely to outweigh the costs. On the other hand, substantial variation in the horizontal distances that an individual could travel may suggest that a constant mobility parameter is inappropriate; in this situation, the correct containers could be computed on-the-fly within the ACDC algorithm, but this is not currently implemented. However, the particle filtering algorithms can account for this by the incorporation of movement models within/between acoustic containers.

    -

    See also

    - -

    acs_setup_mobility, acs_setup_containers and acs_setup_detection_kernels are used to set up the AC and ACDC algorithms as implemented by ac and acdc.

    -

    Author

    - +
    +
    +

    See also

    +

    acs_setup_mobility, acs_setup_containers and acs_setup_detection_kernels are used to set up the AC and ACDC algorithms as implemented by ac and acdc.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1) Explore mobility for single individual
-mob <-
-  acs_setup_mobility(depth = dat_archival$depth[dat_archival$individual_id == 25],
-                     mobility = 200)
-
    
-#### Example (2) Customise histogram
-# ... suppress plot with plot =  FALSE
-# ... suppress add_* lists with NULL or customise
-# ... pass args to prettyGraphics::pretty_hist() via ...
-mob <-
-  acs_setup_mobility(depth = dat_archival$depth[dat_archival$individual_id == 25],
-                      mobility = 200,
-                      add_mobility = NULL,
-                      add_rug = list(side = 3, pos = 25000,
-                                     col = "darkred", lwd = 0.25, ticksize = 0.01),
-                      breaks = 25)
-
    
-#### Example (3) Explore mobility for mulitple individuals
-pp <- graphics::par(mfrow = c(2, 2))
-mob_ls <- lapply(unique(dat_archival$individual_id), function(id){
-  acs_setup_mobility(depth = dat_archival$depth[dat_archival$individual_id == id],
-                      mobility = 200)
-})
-graphics::par(pp)
-
    
-#### Results
-# For these sample time series, even though the animals change depth
-# ... (quite substantially) though time, the sequential changes in depth
-# ... are small and the influence on the horizontal distances that they
-# ... are assumed to be able to travel in the time gap between archival
-# ... observations is so small that a constant mobility parameter
-# ... is reasonable without further information (e.g., models of the underlying
-# ... behavioural state of the animal). However, it is still likely to be
-# ... beneficial to include a movement model to join locations within/
-# ... between acoustic containers for some applications via particle filtering.
-
-
    +
    +

    Examples

    + 
    #### Example (1) Explore mobility for single individual
+mob <-
+  acs_setup_mobility(depth = dat_archival$depth[dat_archival$individual_id == 25],
+                     mobility = 200)
+
+
+#### Example (2) Customise histogram
+# ... suppress plot with plot =  FALSE
+# ... suppress add_* lists with NULL or customise
+# ... pass args to prettyGraphics::pretty_hist() via ...
+mob <-
+  acs_setup_mobility(depth = dat_archival$depth[dat_archival$individual_id == 25],
+                      mobility = 200,
+                      add_mobility = NULL,
+                      add_rug = list(side = 3, pos = 25000,
+                                     col = "darkred", lwd = 0.25, ticksize = 0.01),
+                      breaks = 25)
+
+
+#### Example (3) Explore mobility for mulitple individuals
+pp <- graphics::par(mfrow = c(2, 2))
+mob_ls <- lapply(unique(dat_archival$individual_id), function(id){
+  acs_setup_mobility(depth = dat_archival$depth[dat_archival$individual_id == id],
+                      mobility = 200)
+})
+graphics::par(pp)
+
+
+#### Results
+# For these sample time series, even though the animals change depth
+# ... (quite substantially) though time, the sequential changes in depth
+# ... are small and the influence on the horizontal distances that they
+# ... are assumed to be able to travel in the time gap between archival
+# ... observations is so small that a constant mobility parameter
+# ... is reasonable without further information (e.g., models of the underlying
+# ... behavioural state of the animal). However, it is still likely to be
+# ... beneficial to include a movement model to join locations within/
+# ... between acoustic containers for some applications via particle filtering.
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/assemble_sentinel_counts.html b/docs/reference/assemble_sentinel_counts.html index 90975ab..4253f3a 100644 --- a/docs/reference/assemble_sentinel_counts.html +++ b/docs/reference/assemble_sentinel_counts.html @@ -1,67 +1,12 @@ - - - - - - - -Assemble counts of transmissions/detections from sentinel tags — assemble_sentinel_counts • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Assemble counts of transmissions/detections from sentinel tags — assemble_sentinel_counts • flapper - - + + - - -
    -
    - -
    - -
    +

    Assemble counts of transmissions/detections from sentinel tags

    - Source: R/assembles.R + Source: R/assembles.R
    @@ -123,137 +65,144 @@

    Assemble counts of transmissions/detections from sentinel tags

    This function assembles a dataframe of counts of transmissions/detections from sentinel tags over user-defined time windows. For each sentinel tag, in each time window, the function counts the number of transmissions of that tag (i.e., the expected number of detections at nearby receivers). At the same time, the function determines the number of detections at all nearby receivers (defined as those within a user-specified distance) that were active at the same time as the sentinel tag. The result is a dataframe which comprises, for each tag and each time window, the number of transmissions (i.e., the expected number of detections) and the observed number of detections at each nearby receiver, arranged in long format.

    - 
    assemble_sentinel_counts(
-  sentinel,
-  moorings,
-  breaks = "hours",
-  as_POSIXct = function(x, tz = "UTC", ...) fasttime::fastPOSIXct(x, tz = tz, ...),
-  detection_range = 2000,
-  dist_btw_receivers = NULL
-)
    +
    + 
    assemble_sentinel_counts(
+  sentinel,
+  moorings,
+  breaks = "hours",
+  as_POSIXct = function(x, tz = "UTC", ...) fasttime::fastPOSIXct(x, tz = tz, ...),
+  detection_range = 2000,
+  dist_btw_receivers = NULL
+)
    +
    + +
    +

    Arguments

    +
    sentinel
    +

    A dataframe that includes all sentinel tag transmissions and detections. This should include the following columns: `timestamp', the time of each observation; `type', the type of each observation ("transmission" or "detection"); `sink_id', a unique identifier of the receivers which received the transmissions; and `source_id', a unique identifier of the receivers from which the transmission was released (by the built-in sentinel tag). (When the `source_id' is the same as the `sink_id', the observation is of type "transmission"; otherwise, the observation must be of type "detection"). See dat_sentinel for an example.

    + + +
    moorings
    +

    A dataframe that includes receiver identifiers, deployment times and locations. This information is necessary so that, for each time window, only receivers that could have detected transmissions (i.e., were nearby to the transmitter and active at the time of transmission) are included in the processed dataframe. This should include the following columns: `receiver_id', a unique identifier for each receiver; `receiver_start_date', the deployment date for each receiver; `receiver_end_date', the deployment end date for each receiver; `receiver_long', the receiver longitude (decimal degrees); and `receiver_lat', the receiver latitude (decimal degrees). See dat_moorings for an example.

    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - -
    sentinel

    A dataframe that includes all sentinel tag transmissions and detections. This should include the following columns: `timestamp', the time of each observation; `type', the type of each observation ("transmission" or "detection"); `sink_id', a unique identifier of the receivers which received the transmissions; and `source_id', a unique identifier of the receivers from which the transmission was released (by the built-in sentinel tag). (When the `source_id' is the same as the `sink_id', the observation is of type "transmission"; otherwise, the observation must be of type "detection"). See dat_sentinel for an example.

    moorings

    A dataframe that includes receiver identifiers, deployment times and locations. This information is necessary so that, for each time window, only receivers that could have detected transmissions (i.e., were nearby to the transmitter and active at the time of transmission) are included in the processed dataframe. This should include the following columns: `receiver_id', a unique identifier for each receiver; `receiver_start_date', the deployment date for each receiver; `receiver_end_date', the deployment end date for each receiver; `receiver_long', the receiver longitude (decimal degrees); and `receiver_lat', the receiver latitude (decimal degrees). See dat_moorings for an example.

    breaks

    The time interval over which transmissions/detections are counted (e.g. "hours"). This is passed to the breaks argument of cut.POSIXt.

    as_POSIXct

    A function that defines how to convert character time bins (returned by cut.POSIXt) to POSIXct format. Usually, as.POSIXct is suitable but, for large time series, this is slow. In this case, fastPOSIXct can be used to improve algorithm speed, if suitable. The default function is function(x, tz = "UTC",...) fasttime::fastPOSIXct(x, tz = tz,...).

    detection_range

    A number that defines the maximum distance (m) between a transmitting receiver and other receivers within with detections may plausibly be received. For each transmission, all detections at active receivers within this distance are counted; other receivers are not considered.

    dist_btw_receivers

    (optional) A dataframe that specifies the distances between all combinations of receivers. If not provided, this is computed internally by dist_btw_receivers, which assumes Euclidean distances are appropriate. If provided, the dataframe should contain columns: `r1', `r2', `dist' (see dist_btw_receivers). Note that, if provided, the `dist' column should be in m, not km, as returned by default by dist_btw_receivers, to match the units of detection_range.

    -

    Value

    +
    breaks
    +

    The time interval over which transmissions/detections are counted (e.g. "hours"). This is passed to the breaks argument of cut.POSIXt.

    -

    The function returns a dataframe that, for each source receiver (i.e., sentinel tag), specifies the number of transmissions from that receiver and the number of detections at each nearby receiver over the specified time window. The dataframe has the following columns: `timestamp_bin', the time window; `source_id', the identifier of the source of transmission; `sink_id', the identifier of each potential recipient of each transmission; `n_trms', the number of transmissions from the source over each time window; `n_dets', the number of detections of each transmission at each potential recipient receiver; `dist_btw_receivers', the distance between the source and the sink receiver. Rows are ordered by `source_id', then `timestamp' and finally `sink_id'.

    -

    Author

    +
    as_POSIXct
    +

    A function that defines how to convert character time bins (returned by cut.POSIXt) to POSIXct format. Usually, as.POSIXct is suitable but, for large time series, this is slow. In this case, fastPOSIXct can be used to improve algorithm speed, if suitable. The default function is function(x, tz = "UTC",...) fasttime::fastPOSIXct(x, tz = tz,...).

    + + +
    detection_range
    +

    A number that defines the maximum distance (m) between a transmitting receiver and other receivers within with detections may plausibly be received. For each transmission, all detections at active receivers within this distance are counted; other receivers are not considered.

    + + +
    dist_btw_receivers
    +

    (optional) A dataframe that specifies the distances between all combinations of receivers. If not provided, this is computed internally by dist_btw_receivers, which assumes Euclidean distances are appropriate. If provided, the dataframe should contain columns: `r1', `r2', `dist' (see dist_btw_receivers). Note that, if provided, the `dist' column should be in m, not km, as returned by default by dist_btw_receivers, to match the units of detection_range.

    + +
    +
    +

    Value

    + + +

    The function returns a dataframe that, for each source receiver (i.e., sentinel tag), specifies the number of transmissions from that receiver and the number of detections at each nearby receiver over the specified time window. The dataframe has the following columns: `timestamp_bin', the time window; `source_id', the identifier of the source of transmission; `sink_id', the identifier of each potential recipient of each transmission; `n_trms', the number of transmissions from the source over each time window; `n_dets', the number of detections of each transmission at each potential recipient receiver; `dist_btw_receivers', the distance between the source and the sink receiver. Rows are ordered by `source_id', then `timestamp' and finally `sink_id'.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Use default options and example dataframes, which contain
-# ... all required columns:
-sentinel_counts <- assemble_sentinel_counts(sentinel = dat_sentinel,
-                                            moorings = dat_moorings)
-head(sentinel_counts); tail(sentinel_counts);
-
    #>         timestamp_bin source_id sink_id n_trms n_dets dist_btw_receivers
-#> 1 2016-07-11 00:00:00        35      18     38      0           1011.998
-#> 2 2016-07-11 00:00:00        35      24     38      0            991.067
-#> 3 2016-07-11 00:00:00        35      38     38      0           1536.335
-#> 4 2016-07-11 01:00:00        35      18     39      0           1011.998
-#> 5 2016-07-11 01:00:00        35      24     39      0            991.067
-#> 6 2016-07-11 01:00:00        35      38     39      0           1536.335
    #>            timestamp_bin source_id sink_id n_trms n_dets dist_btw_receivers
-#> 6892 2016-09-06 09:00:00        36      26     39      0           1951.914
-#> 6893 2016-09-06 09:00:00        36      31     39      0           1822.303
-#> 6894 2016-09-06 10:00:00        36      26     39      0           1951.914
-#> 6895 2016-09-06 10:00:00        36      31     39      0           1822.303
-#> 6896 2016-09-06 11:00:00        36      26     38      0           1951.914
-#> 6897 2016-09-06 11:00:00        36      31     38      0           1822.303
    
-#### Example (2): Adjust time window
-sentinel_counts <- assemble_sentinel_counts(sentinel = dat_sentinel,
-                                            moorings = dat_moorings,
-                                            breaks = "days")
-head(sentinel_counts); tail(sentinel_counts);
-
    #>   timestamp_bin source_id sink_id n_trms n_dets dist_btw_receivers
-#> 1    2016-07-11        35      18    925      0           1011.998
-#> 2    2016-07-11        35      24    925      0            991.067
-#> 3    2016-07-11        35      38    925      0           1536.335
-#> 4    2016-07-12        35      18    925      0           1011.998
-#> 5    2016-07-12        35      24    925      0            991.067
-#> 6    2016-07-12        35      38    925      0           1536.335
    #>     timestamp_bin source_id sink_id n_trms n_dets dist_btw_receivers
-#> 285    2016-09-04        36      26    930      0           1951.914
-#> 286    2016-09-04        36      31    930      0           1822.303
-#> 287    2016-09-05        36      26    930      0           1951.914
-#> 288    2016-09-05        36      31    930      0           1822.303
-#> 289    2016-09-06        36      26    465      0           1951.914
-#> 290    2016-09-06        36      31    465      0           1822.303
    
-#### Example (2): Adjust maximum detection distance and supply dist_btw_receivers
-dist_btw_receivers_m <- dist_btw_receivers(dat_moorings[, c("receiver_id",
-                                                            "receiver_long",
-                                                            "receiver_lat")],
-                                           f = function(x) return(x*1000))
-sentinel_counts <- assemble_sentinel_counts(sentinel = dat_sentinel,
-                                            moorings = dat_moorings,
-                                            detection_range = 1500,
-                                            dist_btw_receivers = dist_btw_receivers_m)
-head(sentinel_counts); tail(sentinel_counts)
-
    #>         timestamp_bin source_id sink_id n_trms n_dets dist_btw_receivers
-#> 1 2016-07-11 00:00:00        35      18     38      0           1011.998
-#> 2 2016-07-11 00:00:00        35      24     38      0            991.067
-#> 3 2016-07-11 01:00:00        35      18     39      0           1011.998
-#> 4 2016-07-11 01:00:00        35      24     39      0            991.067
-#> 5 2016-07-11 02:00:00        35      18     38      0           1011.998
-#> 6 2016-07-11 02:00:00        35      24     38      0            991.067
    #>            timestamp_bin source_id sink_id n_trms n_dets dist_btw_receivers
-#> 2753 2016-09-06 08:00:00        35      18     39      0           1011.998
-#> 2754 2016-09-06 08:00:00        35      24     39      0            991.067
-#> 2755 2016-09-06 09:00:00        35      18     38      0           1011.998
-#> 2756 2016-09-06 09:00:00        35      24     38      0            991.067
-#> 2757 2016-09-06 10:00:00        35      18     16      0           1011.998
-#> 2758 2016-09-06 10:00:00        35      24     16      0            991.067
    
-
    +
    +

    Examples

    + 
    #### Example (1): Use default options and example dataframes, which contain
+# ... all required columns:
+sentinel_counts <- assemble_sentinel_counts(sentinel = dat_sentinel,
+                                            moorings = dat_moorings)
+head(sentinel_counts); tail(sentinel_counts);
+#>         timestamp_bin source_id sink_id n_trms n_dets dist_btw_receivers
+#> 1 2016-07-11 00:00:00        35      18     38      0           1011.998
+#> 2 2016-07-11 00:00:00        35      24     38      0            991.067
+#> 3 2016-07-11 00:00:00        35      38     38      0           1536.335
+#> 4 2016-07-11 01:00:00        35      18     39      0           1011.998
+#> 5 2016-07-11 01:00:00        35      24     39      0            991.067
+#> 6 2016-07-11 01:00:00        35      38     39      0           1536.335
+#>            timestamp_bin source_id sink_id n_trms n_dets dist_btw_receivers
+#> 6892 2016-09-06 09:00:00        36      26     39      0           1951.914
+#> 6893 2016-09-06 09:00:00        36      31     39      0           1822.303
+#> 6894 2016-09-06 10:00:00        36      26     39      0           1951.914
+#> 6895 2016-09-06 10:00:00        36      31     39      0           1822.303
+#> 6896 2016-09-06 11:00:00        36      26     38      0           1951.914
+#> 6897 2016-09-06 11:00:00        36      31     38      0           1822.303
+
+#### Example (2): Adjust time window
+sentinel_counts <- assemble_sentinel_counts(sentinel = dat_sentinel,
+                                            moorings = dat_moorings,
+                                            breaks = "days")
+head(sentinel_counts); tail(sentinel_counts);
+#>   timestamp_bin source_id sink_id n_trms n_dets dist_btw_receivers
+#> 1    2016-07-11        35      18    925      0           1011.998
+#> 2    2016-07-11        35      24    925      0            991.067
+#> 3    2016-07-11        35      38    925      0           1536.335
+#> 4    2016-07-12        35      18    925      0           1011.998
+#> 5    2016-07-12        35      24    925      0            991.067
+#> 6    2016-07-12        35      38    925      0           1536.335
+#>     timestamp_bin source_id sink_id n_trms n_dets dist_btw_receivers
+#> 285    2016-09-04        36      26    930      0           1951.914
+#> 286    2016-09-04        36      31    930      0           1822.303
+#> 287    2016-09-05        36      26    930      0           1951.914
+#> 288    2016-09-05        36      31    930      0           1822.303
+#> 289    2016-09-06        36      26    465      0           1951.914
+#> 290    2016-09-06        36      31    465      0           1822.303
+
+#### Example (2): Adjust maximum detection distance and supply dist_btw_receivers
+dist_btw_receivers_m <- dist_btw_receivers(dat_moorings[, c("receiver_id",
+                                                            "receiver_long",
+                                                            "receiver_lat")],
+                                           f = function(x) return(x*1000))
+sentinel_counts <- assemble_sentinel_counts(sentinel = dat_sentinel,
+                                            moorings = dat_moorings,
+                                            detection_range = 1500,
+                                            dist_btw_receivers = dist_btw_receivers_m)
+head(sentinel_counts); tail(sentinel_counts)
+#>         timestamp_bin source_id sink_id n_trms n_dets dist_btw_receivers
+#> 1 2016-07-11 00:00:00        35      18     38      0           1011.998
+#> 2 2016-07-11 00:00:00        35      24     38      0            991.067
+#> 3 2016-07-11 01:00:00        35      18     39      0           1011.998
+#> 4 2016-07-11 01:00:00        35      24     39      0            991.067
+#> 5 2016-07-11 02:00:00        35      18     38      0           1011.998
+#> 6 2016-07-11 02:00:00        35      24     38      0            991.067
+#>            timestamp_bin source_id sink_id n_trms n_dets dist_btw_receivers
+#> 2753 2016-09-06 08:00:00        35      18     39      0           1011.998
+#> 2754 2016-09-06 08:00:00        35      24     39      0            991.067
+#> 2755 2016-09-06 09:00:00        35      18     38      0           1011.998
+#> 2756 2016-09-06 09:00:00        35      24     38      0            991.067
+#> 2757 2016-09-06 10:00:00        35      18     16      0           1011.998
+#> 2758 2016-09-06 10:00:00        35      24     16      0            991.067
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/buffer_and_crop-1.png b/docs/reference/buffer_and_crop-1.png index 8024465..bf42dca 100644 Binary files a/docs/reference/buffer_and_crop-1.png and b/docs/reference/buffer_and_crop-1.png differ diff --git a/docs/reference/buffer_and_crop.html b/docs/reference/buffer_and_crop.html index c37819a..1291f0f 100644 --- a/docs/reference/buffer_and_crop.html +++ b/docs/reference/buffer_and_crop.html @@ -1,67 +1,12 @@ - - - - - - - -Buffer and crop a spatial object — buffer_and_crop • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Buffer and crop a spatial object — buffer_and_crop • flapper - - + + - - -
    -
    - -
    - -
    +

    Buffer and crop a spatial object

    - Source: R/spatial_tools.R + Source: R/spatial_tools.R
    @@ -123,81 +65,85 @@

    Buffer and crop a spatial object

    This function creates a buffer around a spatial object and then crops another spatial object to lie within the extent of the buffered object.

    - 
    buffer_and_crop(to_buffer, to_crop, buffer = NULL, ...)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - -
    to_buffer

    A spatial object to be buffered (see gBuffer).

    to_crop

    A spatial object to be cropped by the buffered object (see crop).

    buffer

    A named list of arguments, passed to gBuffer to buffer the to_buffer object (e.g., buffer = list(width = 10)).

    ...

    Additional arguments passed to crop.

    - -

    Value

    - -

    The function returns the to_crop object, cropped to the extent of the buffered to_buffer object.

    -

    Details

    - -

    This is a simple wrapper for gBuffer and crop. If buffer = NULL, the function simply implements crop.

    -

    Author

    +
    + 
    buffer_and_crop(to_buffer, to_crop, buffer = NULL, ...)
    +
    + +
    +

    Arguments

    +
    to_buffer
    +

    A spatial object to be buffered (see gBuffer).

    + + +
    to_crop
    +

    A spatial object to be cropped by the buffered object (see crop).

    + +
    buffer
    +

    A named list of arguments, passed to gBuffer to buffer the to_buffer object (e.g., buffer = list(width = 10)).

    + + +
    ...
    +

    Additional arguments passed to crop.

    + +
    +
    +

    Value

    + + +

    The function returns the to_crop object, cropped to the extent of the buffered to_buffer object.

    +
    +
    +

    Details

    +

    This is a simple wrapper for gBuffer and crop. If buffer = NULL, the function simply implements crop.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    # Define an example raster
-nrw <- ncl <- 50
-r <- raster::raster(nrow = nrw, ncol = ncl)
-r[] <- stats::runif(nrw*ncl, 0, 1)
-# Buffer and crop the raster around an example location
-xy <- sp::SpatialPoints(matrix(c(0, 0), ncol = 2))
-r2  <- buffer_and_crop(to_buffer = xy,
-                          to_crop = r,
-                          buffer = list(width = 10))
-# Visualise outputs
-pp <- par(mfrow = c(1, 2))
-raster::plot(r)
-raster::plot(r2)
-
    par(pp)
-
-
    +
    +

    Examples

    + 
    # Define an example raster
+nrw <- ncl <- 50
+r <- raster::raster(nrow = nrw, ncol = ncl)
+r[] <- stats::runif(nrw*ncl, 0, 1)
+# Buffer and crop the raster around an example location
+xy <- sp::SpatialPoints(matrix(c(0, 0), ncol = 2))
+r2  <- buffer_and_crop(to_buffer = xy,
+                          to_crop = r,
+                          buffer = list(width = 10))
+#> Warning: GEOS support is provided by the sf and terra packages among others
+# Visualise outputs
+pp <- par(mfrow = c(1, 2))
+raster::plot(r)
+raster::plot(r2)
+
+par(pp)
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/cells_from_val-1.png b/docs/reference/cells_from_val-1.png index 57f943c..78dc14a 100644 Binary files a/docs/reference/cells_from_val-1.png and b/docs/reference/cells_from_val-1.png differ diff --git a/docs/reference/cells_from_val-2.png b/docs/reference/cells_from_val-2.png index 8e3a6e4..620254e 100644 Binary files a/docs/reference/cells_from_val-2.png and b/docs/reference/cells_from_val-2.png differ diff --git a/docs/reference/cells_from_val.html b/docs/reference/cells_from_val.html index fe05dce..1dbde43 100644 --- a/docs/reference/cells_from_val.html +++ b/docs/reference/cells_from_val.html @@ -1,67 +1,12 @@ - - - - - - - -Obtain a RasterLayer or the cells of RasterLayer that are equal to or lie within a range of specified values — cells_from_val • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Obtain a RasterLayer or the cells of RasterLayer that are equal to or lie within a range of specified values — cells_from_val • flapper - - + + - - -
    -
    - -
    - -
    +

    Obtain a RasterLayer or the cells of RasterLayer that are equal to or lie within a range of specified values

    - Source: R/spatial_tools.R + Source: R/spatial_tools.R
    -

    This function obtains a RasterLayer or the cells of a RasterLayer that are equal to a specified value or lie within a specified range of values. To implement this function, a raster (x) and a value or range of values (y) for which a RasterLayer or the numbers of cells corresponding to those values are desired must be supplied. If a range of values is supplied, an additional argument (interval) controls whether or not cells within and equal to or simply within the specified range are returned.

    +

    This function obtains a RasterLayer or the cells of a RasterLayer that are equal to a specified value or lie within a specified range of values. To implement this function, a raster (x) and a value or range of values (y) for which a RasterLayer or the numbers of cells corresponding to those values are desired must be supplied. If a range of values is supplied, an additional argument (interval) controls whether or not cells within and equal to or simply within the specified range are returned.

    +
    + +
    + 
    cells_from_val(x, y, interval = 1L, cells = TRUE, na.rm = TRUE)
    - 
    cells_from_val(x, y, interval = 1L, cells = TRUE, na.rm = TRUE)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - -
    x

    A raster object.

    y

    A number or a vector with two numbers representing the lower and upper boundaries of the interval of values within which cells are identified.

    interval

    If y is a vector of length two, interval is an integer that controls whether or not to query cells within and equal to (interval = 1L) or simply within (interval = 2L) the range specified by y.

    cells

    A logical variable that defines whether or not to return a vector of cell numbers (TRUE) or a RasterLayer of the cells corresponding to y.

    na.rm

    A logical variable that defines whether or not to ignore NAs.

    - -

    Value

    - -

    The function returns a RasterLayer (if cells = FALSE) or an integer vector of numbers (if cells = TRUE) that defines the cells that are equal to, or lie within, specified value(s) y.

    -

    Author

    +
    +

    Arguments

    +
    x
    +

    A raster object.

    + + +
    y
    +

    A number or a vector with two numbers representing the lower and upper boundaries of the interval of values within which cells are identified.

    + +
    interval
    +

    If y is a vector of length two, interval is an integer that controls whether or not to query cells within and equal to (interval = 1L) or simply within (interval = 2L) the range specified by y.

    + + +
    cells
    +

    A logical variable that defines whether or not to return a vector of cell numbers (TRUE) or a RasterLayer of the cells corresponding to y.

    + + +
    na.rm
    +

    A logical variable that defines whether or not to ignore NAs.

    + +
    +
    +

    Value

    + + +

    The function returns a RasterLayer (if cells = FALSE) or an integer vector of numbers (if cells = TRUE) that defines the cells that are equal to, or lie within, specified value(s) y.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    # Define an example RasterLayer
-ncl <- 10
-nrw <- 10
-n   <- ncl*nrw
-mat <- matrix(1:n, ncol = ncl, nrow = nrw, byrow = TRUE)
-r <- raster::raster(mat)
-# Visualise example RasterLayer
-raster::plot(r)
-
    raster::text(r)
-
    # Obtain the number(s) of cells corresponding to a particular value
-cells_from_val(r, 1)
-
    #> [1] 1
    # Obtain a RasterLayer of the cells corresponding to a particular value
-r1 <- cells_from_val(r, 1, cells = FALSE)
-raster::plot(r1)
-
    # Obtain the number(s) of cells within or equal to a range of values
-cells_from_val(r, c(1, 10))
-
    #>  [1]  1  2  3  4  5  6  7  8  9 10
    # Obtain the number(s) of cells within a range of values
-cells_from_val(r, c(1, 10), interval = 2L)
-
    #> [1] 2 3 4 5 6 7 8 9
    # As above but returning a raster layer
-cells_from_val(r, c(1, 10), interval = 2L, cells = FALSE)
-
    #> class      : RasterLayer 
-#> dimensions : 10, 10, 100  (nrow, ncol, ncell)
-#> resolution : 0.1, 0.1  (x, y)
-#> extent     : 0, 1, 0, 1  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 1  (min, max)
-#>
    +
    +

    Examples

    + 
    # Define an example RasterLayer
+ncl <- 10
+nrw <- 10
+n   <- ncl*nrw
+mat <- matrix(1:n, ncol = ncl, nrow = nrw, byrow = TRUE)
+r <- raster::raster(mat)
+# Visualise example RasterLayer
+raster::plot(r)
+raster::text(r)
+
+# Obtain the number(s) of cells corresponding to a particular value
+cells_from_val(r, 1)
+#> [1] 1
+# Obtain a RasterLayer of the cells corresponding to a particular value
+r1 <- cells_from_val(r, 1, cells = FALSE)
+raster::plot(r1)
+
+# Obtain the number(s) of cells within or equal to a range of values
+cells_from_val(r, c(1, 10))
+#>  [1]  1  2  3  4  5  6  7  8  9 10
+# Obtain the number(s) of cells within a range of values
+cells_from_val(r, c(1, 10), interval = 2L)
+#> [1] 2 3 4 5 6 7 8 9
+# As above but returning a raster layer
+cells_from_val(r, c(1, 10), interval = 2L, cells = FALSE)
+#> class      : RasterLayer 
+#> dimensions : 10, 10, 100  (nrow, ncol, ncell)
+#> resolution : 0.1, 0.1  (x, y)
+#> extent     : 0, 1, 0, 1  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 1  (min, max)
+#> 
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/check....html b/docs/reference/check....html index b1394ae..ee4a6d1 100644 --- a/docs/reference/check....html +++ b/docs/reference/check....html @@ -1,67 +1,12 @@ - - - - - - - -Check that arguments supplied via ... are allowed — check... • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Check that arguments supplied via ... are allowed — check... • flapper + + - - - - -
    -
    - -
    - -
    +

    Check that arguments supplied via ... are allowed

    - Source: R/utils.R + Source: R/utils.R
    @@ -123,56 +65,56 @@

    Check that arguments supplied via ... are allowed

    This function checks that arguments supplied via ... are allowed. This function was written to support other functions, specifically via the return of a helpful error message if arguments that cannot be supplied via ... have been supplied. The function is not intended for general use.

    - 
    check...(not_allowed, ...)
    +
    + 
    check...(not_allowed, ...)
    +
    -

    Arguments

    - - - - - - - - - - -
    not_allowed

    A character vector of the names of function arguments that are not allowed.

    ...

    Arguments passed via ... to a parent function.

    +
    +

    Source

    +

    This function is taken from the `utils.add' package (https://github.com/edwardlavender/utils.add). It is defined separately in flapper to reduce reliance on non-default packages.

    +
    +
    +

    Arguments

    +
    not_allowed
    +

    A character vector of the names of function arguments that are not allowed.

    -

    Source

    -

    This function is taken from the `utils.add' package (https://github.com/edwardlavender/utils.add). It is defined separately in flapper to reduce reliance on non-default packages.

    -

    Value

    +
    ...
    +

    Arguments passed via ... to a parent function.

    -

    The function checks arguments supplied via ...; if these contain an argument that is not allowed, the function returns an error. Otherwise, nothing is returned.

    -

    Author

    +
    +
    +

    Value

    + +

    The function checks arguments supplied via ...; if these contain an argument that is not allowed, the function returns an error. Otherwise, nothing is returned.

    +
    +
    +

    Author

    Edward Lavender

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/check_class.html b/docs/reference/check_class.html index aa05298..654c322 100644 --- a/docs/reference/check_class.html +++ b/docs/reference/check_class.html @@ -1,67 +1,12 @@ - - - - - - - -Check the class of a function input to a parent function — check_class • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Check the class of a function input to a parent function — check_class • flapper + + - - - - -
    -
    - -
    - -
    +

    Check the class of a function input to a parent function

    - Source: R/utils.R + Source: R/utils.R
    @@ -123,79 +65,79 @@

    Check the class of a function input to a parent function

    This function checks that the class of an input to a parent function is appropriate. If not, the function either produces a helpful error message or returns a warning.

    - 
    check_class(
-  arg = deparse(substitute(input)),
-  input,
-  if_class = NULL,
-  to_class,
-  type = "stop",
-  coerce_input
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - -
    arg

    A character string which defines the argument of the parent function.

    input

    The input to an argument of a parent function.

    if_class

    (optional) A character vector of object class(es). If supplied, the function will only proceed to check the class of the object if the class(input) is one of if_class. This is useful if check_class() is implemented in a loop.

    to_class

    The required class of the input.

    type

    A character which specifies whether to return an error ("stop") or a warning ("warning").

    coerce_input

    A function used to coerce input to the correct object type, if type = "warning".

    - -

    Source

    - -

    This function is taken from the `utils.add' package (https://github.com/edwardlavender/utils.add). It is defined separately in flapper to reduce reliance on non-default packages.

    -

    Value

    - -

    The function checks the class of the input. If the class is not the same as required by the parent function (i.e., as specified by to_class), the function returns a helpful error message, or a warning and an object whose class has been coerced to the correct class.

    -

    Author

    +
    + 
    check_class(
+  arg = deparse(substitute(input)),
+  input,
+  if_class = NULL,
+  to_class,
+  type = "stop",
+  coerce_input
+)
    +
    + +
    +

    Source

    +

    This function is taken from the `utils.add' package (https://github.com/edwardlavender/utils.add). It is defined separately in flapper to reduce reliance on non-default packages.

    +
    +
    +

    Arguments

    +
    arg
    +

    A character string which defines the argument of the parent function.

    + + +
    input
    +

    The input to an argument of a parent function.

    + +
    if_class
    +

    (optional) A character vector of object class(es). If supplied, the function will only proceed to check the class of the object if the class(input) is one of if_class. This is useful if check_class() is implemented in a loop.

    + + +
    to_class
    +

    The required class of the input.

    + + +
    type
    +

    A character which specifies whether to return an error ("stop") or a warning ("warning").

    + + +
    coerce_input
    +

    A function used to coerce input to the correct object type, if type = "warning".

    + +
    +
    +

    Value

    + + +

    The function checks the class of the input. If the class is not the same as required by the parent function (i.e., as specified by to_class), the function returns a helpful error message, or a warning and an object whose class has been coerced to the correct class.

    +
    +
    +

    Author

    Edward Lavender

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/check_class_acdc_record.html b/docs/reference/check_class_acdc_record.html index 861ea1e..189e136 100644 --- a/docs/reference/check_class_acdc_record.html +++ b/docs/reference/check_class_acdc_record.html @@ -1,67 +1,12 @@ - - - - - - - -Check an object is of class "acdc_record" — check_class_acdc_record • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Check an object is of class "acdc_record" — check_class_acdc_record • flapper + + - - - - -
    -
    - -
    - -
    +

    Check an object is of class "acdc_record"

    - Source: R/acdc_analyse_record.R + Source: R/acdc_analyse_record.R
    -

    This function checks whether or not an object is of class acdc_record-class.

    +

    This function checks whether or not an object is of class acdc_record-class.

    +
    + +
    + 
    check_class_acdc_record(x, arg = deparse(substitute(x)))
    - 
    check_class_acdc_record(x, arg = deparse(substitute(x)))
    +
    +

    Arguments

    +
    x
    +

    An object.

    -

    Arguments

    - - - - - - - - - - -
    x

    An object.

    arg

    A character that defines the name of a function argument.

    -

    Value

    +
    arg
    +

    A character that defines the name of a function argument.

    -

    If x is not an acdc_record-class object, the function returns a helpful error message.

    -

    Author

    +
    +
    +

    Value

    + +

    If x is not an acdc_record-class object, the function returns a helpful error message.

    +
    +
    +

    Author

    Edward Lavender

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/check_crs.html b/docs/reference/check_crs.html index 2d7a43f..ef4d12d 100644 --- a/docs/reference/check_crs.html +++ b/docs/reference/check_crs.html @@ -1,67 +1,12 @@ - - - - - - - -Check coordinate reference systems match — check_crs • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Check coordinate reference systems match — check_crs • flapper - - - - + + -
    -
    - -
    - -
    +

    Check coordinate reference systems match

    - Source: R/utils.R + Source: R/utils.R
    @@ -123,65 +65,64 @@

    Check coordinate reference systems match

    This function checks that coordinate reference systems (CRS) match.

    - 
    check_crs(...)
    - -

    Arguments

    - - - - - - -
    ...

    Objects of CRS-class or from which CRS-class object(s) can be extracted (via crs).

    +
    + 
    check_crs(...)
    +
    -

    Details

    +
    +

    Arguments

    +
    ...
    +

    Objects of CRS-class or from which CRS-class object(s) can be extracted (via crs).

    +
    +
    +

    Details

    The first (`baseline') CRS is compared against that for every other input. NULL inputs are ignored. For any mismatches, an instructive warning is returned alongside the details of each mismatch.

    -

    Author

    - +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    if (FALSE) {
-# The function can accept spatial objects
-check_crs(dat_gebco, dat_coast)
-check_crs(dat_gebco,
-          dat_coast,
-          raster::raster(matrix(1)))
-
-# The function can accept CRS objects
-check_crs(dat_gebco, sp::CRS(as.character(NA)))
-
-# The function can accept NULL elements
-check_crs(dat_gebco, NULL)
-}
-
-
    +
    +

    Examples

    + 
    if (FALSE) {
+# The function can accept spatial objects
+check_crs(dat_gebco, dat_coast)
+check_crs(dat_gebco,
+          dat_coast,
+          raster::raster(matrix(1)))
+
+# The function can accept CRS objects
+check_crs(dat_gebco, sp::CRS(as.character(NA)))
+
+# The function can accept NULL elements
+check_crs(dat_gebco, NULL)
+}
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/check_dir.html b/docs/reference/check_dir.html index 86f3055..06ee512 100644 --- a/docs/reference/check_dir.html +++ b/docs/reference/check_dir.html @@ -1,67 +1,12 @@ - - - - - - - -Check a directory exists — check_dir • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Check a directory exists — check_dir • flapper - - - - + + -
    -
    - -
    - -
    +

    Check a directory exists

    - Source: R/utils.R + Source: R/utils.R
    @@ -123,60 +65,60 @@

    Check a directory exists

    This function checks whether a directory exists and, if not, returns an informative error message. The inputted directory can be edited with the addition of a '/' if requested.

    - 
    check_dir(arg = deparse(substitute(input)), input, check_slash = FALSE)
    - -

    Arguments

    - - - - - - - - - - - - - - -
    arg

    (optional) A character string which defines the argument of a parent function.

    input

    A character string which defines a directory.

    check_slash

    A logical input that defines whether or not to check the end of the directory string for '/'. If TRUE and a '/' is lacking, this is added to the returned directory.

    - -

    Source

    - -

    This function is taken from the `utils.add' package (https://github.com/edwardlavender/utils.add). It is defined separately in flapper to reduce reliance on non-default packages.

    -

    Value

    - -

    The function checks whether or not a directory exists. If so, the function returns either the directory as inputted, or the directory with a '/' added to the end. If not, the function returns an informative error message.

    -

    Author

    +
    + 
    check_dir(arg = deparse(substitute(input)), input, check_slash = FALSE)
    +
    + +
    +

    Source

    +

    This function is taken from the `utils.add' package (https://github.com/edwardlavender/utils.add). It is defined separately in flapper to reduce reliance on non-default packages.

    +
    +
    +

    Arguments

    +
    arg
    +

    (optional) A character string which defines the argument of a parent function.

    + + +
    input
    +

    A character string which defines a directory.

    + + +
    check_slash
    +

    A logical input that defines whether or not to check the end of the directory string for '/'. If TRUE and a '/' is lacking, this is added to the returned directory.

    +
    +
    +

    Value

    + + +

    The function checks whether or not a directory exists. If so, the function returns either the directory as inputted, or the directory with a '/' added to the end. If not, the function returns an informative error message.

    +
    +
    +

    Author

    Edward Lavender

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/check_named_list.html b/docs/reference/check_named_list.html index 29c5614..7bff5ed 100644 --- a/docs/reference/check_named_list.html +++ b/docs/reference/check_named_list.html @@ -1,67 +1,12 @@ - - - - - - - -Check that a list is named — check_named_list • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Check that a list is named — check_named_list • flapper - - - - + + -
    -
    - -
    - -
    +

    Check that a list is named

    - Source: R/utils.R + Source: R/utils.R
    -

    This function checks that the top level of a list is named (ignoring empty lists if requested). If the list is not named, the function returns a helpful error message. Otherwise, the list is returned unchanged. This is particularly useful within functions that use do.call to evaluate lists of arguments.

    +

    This function checks that the top level of a list is named (ignoring empty lists if requested). If the list is not named, the function returns a helpful error message. Otherwise, the list is returned unchanged. This is particularly useful within functions that use do.call to evaluate lists of arguments.

    +
    + +
    + 
    check_named_list(arg = deparse(substitute(input)), input, ignore_empty = TRUE)
    +
    + +
    +

    Source

    +

    This function is taken from the `utils.add' package (https://github.com/edwardlavender/utils.add). It is defined separately in flapper to reduce reliance on non-default packages.

    +
    +

    Arguments

    +
    arg
    +

    (optional) A character string which defines the argument of a parent function.

    + + +
    input
    +

    A list.

    + - 
    check_named_list(arg = deparse(substitute(input)), input, ignore_empty = TRUE)
    - -

    Arguments

    - - - - - - - - - - - - - - -
    arg

    (optional) A character string which defines the argument of a parent function.

    input

    A list.

    ignore_empty

    A logical input which defines whether or not to ignore empty lists.

    - -

    Source

    - -

    This function is taken from the `utils.add' package (https://github.com/edwardlavender/utils.add). It is defined separately in flapper to reduce reliance on non-default packages.

    -

    Value

    - -

    The function returns a helpful error message for unnamed lists (ignoring empty lists if requested) or the inputted list unchanged.

    -

    Author

    +
    ignore_empty
    +

    A logical input which defines whether or not to ignore empty lists.

    +
    +
    +

    Value

    + + +

    The function returns a helpful error message for unnamed lists (ignoring empty lists if requested) or the inputted list unchanged.

    +
    +
    +

    Author

    Edward Lavender

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/check_names.html b/docs/reference/check_names.html index 01d0a46..b85c31d 100644 --- a/docs/reference/check_names.html +++ b/docs/reference/check_names.html @@ -1,67 +1,12 @@ - - - - - - - -Check the names of an object contain required names — check_names • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Check the names of an object contain required names — check_names • flapper - - + + - - -
    -
    - -
    - -
    +

    Check the names of an object contain required names

    - Source: R/utils.R + Source: R/utils.R
    @@ -123,74 +65,74 @@

    Check the names of an object contain required names

    This function checks whether required names are contained within an object. If the object does not contain any/all required names (the precise criteria is controlled by the user), the function returns a helpful error message.

    - 
    check_names(
-  arg = deparse(substitute(input)),
-  input,
-  req,
-  extract_names = names,
-  type = any
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - -
    arg

    A character string which defines the argument of the parent function.

    input

    An object for which the names need to be checked.

    req

    A character vector of required names.

    extract_names

    A function which is used to extract names from input, such as names or colnames.

    type

    A function which defines the failure criteria. For example, if type = all, the function will return an error unless all the names in req are contained within input. This is the default. If type = any, the function will return an error only if none of the names in req are contained within input.

    - -

    Source

    - -

    This function is taken from the `utils.add' package (https://github.com/edwardlavender/utils.add). It is defined separately in flapper to reduce reliance on non-default packages.

    -

    Value

    - -

    If the input fails the check, the function returns a helpful error message. Otherwise, nothing is returned.

    -

    Author

    +
    + 
    check_names(
+  arg = deparse(substitute(input)),
+  input,
+  req,
+  extract_names = names,
+  type = any
+)
    +
    + +
    +

    Source

    +

    This function is taken from the `utils.add' package (https://github.com/edwardlavender/utils.add). It is defined separately in flapper to reduce reliance on non-default packages.

    +
    +
    +

    Arguments

    +
    arg
    +

    A character string which defines the argument of the parent function.

    + +
    input
    +

    An object for which the names need to be checked.

    + + +
    req
    +

    A character vector of required names.

    + + +
    extract_names
    +

    A function which is used to extract names from input, such as names or colnames.

    + + +
    type
    +

    A function which defines the failure criteria. For example, if type = all, the function will return an error unless all the names in req are contained within input. This is the default. If type = any, the function will return an error only if none of the names in req are contained within input.

    + +
    +
    +

    Value

    + + +

    If the input fails the check, the function returns a helpful error message. Otherwise, nothing is returned.

    +
    +
    +

    Author

    Edward Lavender

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/check_tz.html b/docs/reference/check_tz.html index 6ac56fe..6c8429d 100644 --- a/docs/reference/check_tz.html +++ b/docs/reference/check_tz.html @@ -1,67 +1,12 @@ - - - - - - - -Check the time zone of an object and force UTC if absent — check_tz • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Check the time zone of an object and force UTC if absent — check_tz • flapper + + - - - - -
    -
    - -
    - -
    +

    Check the time zone of an object and force UTC if absent

    - Source: R/utils.R + Source: R/utils.R
    @@ -123,56 +65,56 @@

    Check the time zone of an object and force UTC if absent

    This function checks the time zone of an inputted object. If the object is of class Date or POSIXct and a time zone is absent, then "UTC" is forced. Otherwise, the object is returned unchanged.

    - 
    check_tz(arg = deparse(substitute(input)), input)
    +
    + 
    check_tz(arg = deparse(substitute(input)), input)
    +
    -

    Arguments

    - - - - - - - - - - -
    arg

    (optional) A character string which defines the argument of the parent function.

    input

    An object.

    +
    +

    Source

    +

    This function is taken from the `utils.add' package (https://github.com/edwardlavender/utils.add). It is defined separately in flapper to reduce reliance on non-default packages.

    +
    +
    +

    Arguments

    +
    arg
    +

    (optional) A character string which defines the argument of the parent function.

    -

    Source

    -

    This function is taken from the `utils.add' package (https://github.com/edwardlavender/utils.add). It is defined separately in flapper to reduce reliance on non-default packages.

    -

    Value

    +
    input
    +

    An object.

    -

    An object as inputted in which, if the object is of class Date or POSIXct and a time zone is absent, time zone "UTC" is forced.

    -

    Author

    +
    +
    +

    Value

    + +

    An object as inputted in which, if the object is of class Date or POSIXct and a time zone is absent, time zone "UTC" is forced.

    +
    +
    +

    Author

    Edward Lavender

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/check_value.html b/docs/reference/check_value.html index b2446cb..36733e8 100644 --- a/docs/reference/check_value.html +++ b/docs/reference/check_value.html @@ -1,67 +1,12 @@ - - - - - - - -Check the input value to a parent function argument — check_value • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Check the input value to a parent function argument — check_value • flapper - - + + - - -
    -
    - -
    - -
    +

    Check the input value to a parent function argument

    - Source: R/utils.R + Source: R/utils.R
    @@ -123,74 +65,74 @@

    Check the input value to a parent function argument

    Within a function, this function checks the value of an input to an argument of that function. If the input value is supported, the function simply returns this value. If the input is not supported, the function either throws an error or returns a warning and the default value.

    - 
    check_value(
-  arg = deparse(substitute(input)),
-  input,
-  supp,
-  warn = TRUE,
-  default = supp[1]
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - -
    arg

    A character string which defines the argument of the parent function.

    input

    The input to an argument of a parent function.

    supp

    A vector of supported input values for the argument in the parent function.

    warn

    A logical input which defines whether or not to return a warning and the default value (see default) or an error.

    default

    The default input value for the parent function.

    - -

    Source

    - -

    This function is taken from the `utils.add' package (https://github.com/edwardlavender/utils.add). It is defined separately in flapper to reduce reliance on non-default packages.

    -

    Value

    - -

    The function returns input, an error or a warning and default depending on whether or not input is within supp (i.e., whether or not the input to the argument of a parent function is supported).

    -

    Author

    +
    + 
    check_value(
+  arg = deparse(substitute(input)),
+  input,
+  supp,
+  warn = TRUE,
+  default = supp[1]
+)
    +
    + +
    +

    Source

    +

    This function is taken from the `utils.add' package (https://github.com/edwardlavender/utils.add). It is defined separately in flapper to reduce reliance on non-default packages.

    +
    +
    +

    Arguments

    +
    arg
    +

    A character string which defines the argument of the parent function.

    + +
    input
    +

    The input to an argument of a parent function.

    + + +
    supp
    +

    A vector of supported input values for the argument in the parent function.

    + + +
    warn
    +

    A logical input which defines whether or not to return a warning and the default value (see default) or an error.

    + + +
    default
    +

    The default input value for the parent function.

    + +
    +
    +

    Value

    + + +

    The function returns input, an error or a warning and default depending on whether or not input is within supp (i.e., whether or not the input to the argument of a parent function is supported).

    +
    +
    +

    Author

    Edward Lavender

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/cl.html b/docs/reference/cl.html index 4b1e21e..a4b8ea2 100644 --- a/docs/reference/cl.html +++ b/docs/reference/cl.html @@ -1,67 +1,12 @@ - - - - - - - -Parallelisation helpers — cl • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Parallelisation helpers — cl • flapper - - - - + + -
    -
    - -
    - -
    +

    Parallelisation helpers

    - Source: R/cl_helpers.R + Source: R/cl_helpers.R
    -

    A set of wrappers for parallel functions that facilitate the implementation of parallel routines in functions via pblapply.

    +

    A set of wrappers for parallel functions that facilitate the implementation of parallel routines in functions via pblapply.

    +
    + +
    + 
    cl_lapply(x, fun, ..., cl = NULL, varlist = NULL, use_chunks = FALSE)
+
+cl_check(cl = NULL, varlist = NULL)
+
+cl_cores(cl = NULL)
+
+cl_chunks(cl = NULL, length)
+
+cl_export(cl = NULL, varlist = NULL)
+
+cl_stop(cl = NULL)
    - 
    cl_lapply(x, fun, ..., cl = NULL, varlist = NULL, use_chunks = FALSE)
+    
    
+    
    Arguments
    
+    
    x
    
+
    A list over which to iterate.
    
+
+
+
    fun, ...
    
+
    A function that is applied to elements of x alongside any optional arguments to fun.
    
+
 
-cl_check(cl = NULL, varlist = NULL)
+
    cl
    
+
    (optional) A cluster from makeCluster or an integer that defines the number of child processes (see pblapply).
    
 
-cl_cores(cl = NULL)
 
-cl_chunks(cl = NULL, length)
+
    varlist
    
+
    (optional) A character vector of objects for export (see clusterExport). If cl is a cluster, this may be required. Exported objects must be located in the global environment.
    
 
-cl_export(cl = NULL, varlist = NULL)
 
-cl_stop(cl = NULL)
    +
    use_chunks
    +

    A logical vector that defines whether to parallelise over `chunks' (TRUE) or over the elements of x (FALSE). If use_chunks = TRUE, x is split into n chunks (one per core) that are processed in parallel; within each chunk x is updated iteratively.

    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - -
    x

    A list over which to iterate.

    fun, ...

    A function that is applied to elements of x alongside any optional arguments to fun.

    cl

    (optional) A cluster from makeCluster or an integer that defines the number of child processes (see pblapply).

    varlist

    (optional) A character vector of objects for export (see clusterExport). If cl is a cluster, this may be required. Exported objects must be located in the global environment.

    use_chunks

    A logical vector that defines whether to parallelise over `chunks' (TRUE) or over the elements of x (FALSE). If use_chunks = TRUE, x is split into n chunks (one per core) that are processed in parallel; within each chunk x is updated iteratively.

    length

    An integer that defines the number of elements in the iteration.

    -

    Value

    +
    length
    +

    An integer that defines the number of elements in the iteration.

    +
    +
    +

    Value

    -
      -

    • cl_lapply returns a list.

      • + +

      • cl_lapply returns a list.

      • cl_cores returns an integer.

      • cl_chunks returns a list of integers.

        • -

      • cl_check, cl_export and cl_stop return invisible().

        • -
      - -

      Details

      - -

      cl_lapply is a wrapper for pblapply that handles cluster checking, set up and closure, using the following functions:

      -
        -

      • cl_check checks cl and varlist arguments, as inputted to a parent function. For example, if cl = NULL, varlist should also be NULL.

        • +

      • cl_check, cl_export and cl_stop return invisible().

        • +
    +
    +

    Details

    +

    cl_lapply is a wrapper for pblapply that handles cluster checking, set up and closure, using the following functions:

    +

    • cl_check checks cl and varlist arguments, as inputted to a parent function. For example, if cl = NULL, varlist should also be NULL.

    • cl_cores identifies the number of cores specified.

    • cl_chunks defines a list, with one element for core specified, that contains an integer vector of the positions of an object over which to iterate serially in each chunk.

      • -

    • cl_export implements clusterExport if both cl and varlist are specified.

      • -

    • cl_stop implements stopCluster if cl is a cluster object from makeCluster.

      • -
    - -

    Author

    - +

  • cl_export implements clusterExport if both cl and varlist are specified.

    • +

  • cl_stop implements stopCluster if cl is a cluster object from makeCluster.

    • +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Examples of cl_lapply()
-# Implement cl_lapply() without cluster
-z <- cl_lapply(1:10, function(x) x + 1)
-# Implement cl_lapply() with forking (not on Windows)
-z <- cl_lapply(1:10, function(x) x + 1, cl = 2L)
-# Implement cl_lapply() with socket cluster
-z <- cl_lapply(1:10, function(x) x + 1, cl = parallel::makeCluster(2L))
-
-#### Catch mistakes
-z <- cl_lapply(1:10, function(x) x + 1, cl = 2L, varlist =  list())
-
    #> Warning: 'cl' is an integer: input to 'varlist' ignored.
    z <- cl_lapply(1:10, function(x) x + 1, varlist = list())
-
    #> Warning: 'cl' is NULL: input to 'varlist' ignored.
    
-#### Compare time trials for chunk-wise versus element-wise parallelisation
-
-if(flapper_run_parallel){
-
-## Background
-# In this simple example, we will sample 'size' cells n times from a raster
-# The output is a list of cell samples. We compare the time taken to complete
-# sampling using different approaches.
-
-## Define a dataframe of time trial scenarios
-require(dplyr)
-dat    <- expand.grid(n = 1e4,
-                      method = c("socket", "fork"),
-                      cores = 2L,
-                      use_chunks = c(FALSE, TRUE),
-                      time = NA)
-
-## Estimate the duration of each scenario
-dat_by_trial <-
-  lapply(split(dat, seq_len(nrow(dat))), function(d){
-    if(d$method == "socket"){
-      t1 <- Sys.time()
-      z  <- cl_lapply(x = 1:d$n,
-                      fun = function(i)
-                        raster::sampleRandom(flapper::dat_gebco, size = 5),
-                      cl = parallel::makeCluster(d$cores),
-                      use_chunks = d$use_chunks)
-      t2 <- Sys.time()
-    } else if(d$method == "fork"){
-      t1 <- Sys.time()
-      z  <- cl_lapply(x = 1:d$n,
-                      fun = function(i)
-                        raster::sampleRandom(flapper::dat_gebco, size = 5),
-                      cl = d$cores,
-                      use_chunks = d$use_chunks)
-      t2 <- Sys.time()
-    }
-    d$time <- as.numeric(difftime(t2, t1, "secs"))
-    return(d)
-  })
-
-## Examine the results
-dat_for_trials <-
-  dat_by_trial %>%
-  dplyr::bind_rows() %>%
-  dplyr::arrange(.data$n, .data$time) %>%
-  print()
-
-}
-
    #> Loading required package: dplyr
    #> 
-#> Attaching package: ‘dplyr’
    #> The following objects are masked from ‘package:stats’:
-#> 
-#>     filter, lag
    #> The following objects are masked from ‘package:base’:
-#> 
-#>     intersect, setdiff, setequal, union
    #>       n method cores use_chunks      time
-#> 1 10000   fork     2       TRUE  7.370941
-#> 2 10000   fork     2      FALSE  7.467102
-#> 3 10000 socket     2      FALSE 10.724536
-#> 4 10000 socket     2       TRUE 11.166706
    
-
    +
    +

    Examples

    + 
    #### Examples of cl_lapply()
+# Implement cl_lapply() without cluster
+z <- cl_lapply(1:10, function(x) x + 1)
+# Implement cl_lapply() with forking (not on Windows)
+z <- cl_lapply(1:10, function(x) x + 1, cl = 2L)
+# Implement cl_lapply() with socket cluster
+z <- cl_lapply(1:10, function(x) x + 1, cl = parallel::makeCluster(2L))
+
+#### Catch mistakes
+z <- cl_lapply(1:10, function(x) x + 1, cl = 2L, varlist =  list())
+#> Warning: 'cl' is an integer: input to 'varlist' ignored.
+z <- cl_lapply(1:10, function(x) x + 1, varlist = list())
+#> Warning: 'cl' is NULL: input to 'varlist' ignored.
+
+#### Compare time trials for chunk-wise versus element-wise parallelisation
+
+if(flapper_run_parallel){
+
+## Background
+# In this simple example, we will sample 'size' cells n times from a raster
+# The output is a list of cell samples. We compare the time taken to complete
+# sampling using different approaches.
+
+## Define a dataframe of time trial scenarios
+require(dplyr)
+dat    <- expand.grid(n = 1e4,
+                      method = c("socket", "fork"),
+                      cores = 2L,
+                      use_chunks = c(FALSE, TRUE),
+                      time = NA)
+
+## Estimate the duration of each scenario
+dat_by_trial <-
+  lapply(split(dat, seq_len(nrow(dat))), function(d){
+    if(d$method == "socket"){
+      t1 <- Sys.time()
+      z  <- cl_lapply(x = 1:d$n,
+                      fun = function(i)
+                        raster::sampleRandom(flapper::dat_gebco, size = 5),
+                      cl = parallel::makeCluster(d$cores),
+                      use_chunks = d$use_chunks)
+      t2 <- Sys.time()
+    } else if(d$method == "fork"){
+      t1 <- Sys.time()
+      z  <- cl_lapply(x = 1:d$n,
+                      fun = function(i)
+                        raster::sampleRandom(flapper::dat_gebco, size = 5),
+                      cl = d$cores,
+                      use_chunks = d$use_chunks)
+      t2 <- Sys.time()
+    }
+    d$time <- as.numeric(difftime(t2, t1, "secs"))
+    return(d)
+  })
+
+## Examine the results
+dat_for_trials <-
+  dat_by_trial %>%
+  dplyr::bind_rows() %>%
+  dplyr::arrange(.data$n, .data$time) %>%
+  print()
+
+}
+#> Loading required package: dplyr
+#> 
+#> Attaching package: ‘dplyr’
+#> The following objects are masked from ‘package:stats’:
+#> 
+#>     filter, lag
+#> The following objects are masked from ‘package:base’:
+#> 
+#>     intersect, setdiff, setequal, union
+#>       n method cores use_chunks      time
+#> 1 10000   fork     2      FALSE  7.818734
+#> 2 10000   fork     2       TRUE  8.313366
+#> 3 10000 socket     2      FALSE 11.021047
+#> 4 10000 socket     2       TRUE 11.130162
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/coa.html b/docs/reference/coa.html index 79bc7af..90a1305 100644 --- a/docs/reference/coa.html +++ b/docs/reference/coa.html @@ -1,67 +1,12 @@ - - - - - - - -The centres of activity (COA) algorithm — coa • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -The centres of activity (COA) algorithm — coa • flapper - - + + - - -
    -
    - -
    - -
    +

    The centres of activity (COA) algorithm

    - Source: R/coa.R + Source: R/coa.R
    -

    This function implements the arithmetic mean-position algorithm to calculate an individual's centres of activity (COAs) though time from detections at passive acoustic telemetry receivers, as described by Simpfendorfer et al (2002). Under this approach, each COA is calculated as the arithmetic mean of the locations of receivers at which an individual was detected over a specified time interval, weighted by the frequency of detections at each of those receivers. To implement the function, a detection matrix that defines the number of detections of an individual along sequence of time steps at each receiver (e.g., from make_matrix_detections) needs to be supplied, along a matrix of receiver locations in a planar coordinate system. For each time interval, the function calculates the centre of activity and returns a matrix or dataframe with this information.

    +

    This function implements the arithmetic mean-position algorithm to calculate an individual's centres of activity (COAs) though time from detections at passive acoustic telemetry receivers, as described by Simpfendorfer et al (2002). Under this approach, each COA is calculated as the arithmetic mean of the locations of receivers at which an individual was detected over a specified time interval, weighted by the frequency of detections at each of those receivers. To implement the function, a detection matrix that defines the number of detections of an individual along sequence of time steps at each receiver (e.g., from make_matrix_detections) needs to be supplied, along a matrix of receiver locations in a planar coordinate system. For each time interval, the function calculates the centre of activity and returns a matrix or dataframe with this information.

    - 
    coa(
-  mat,
-  xy,
-  cl = NULL,
-  varlist = NULL,
-  na_omit = TRUE,
-  as_POSIXct = as.POSIXct,
-  output = "matrix"
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - -
    mat

    A detection matrix, with one row for each time step and one column for each receiver, in which each cell defines the number of detections at each time step/receiver (for a particular individual) (see make_matrix_detections). It is advisable that the rows and columns of this matrix are labelled by time stamp and receiver respectively, especially if there are any rows without detections (see output below).

    xy

    A matrix that defines receiver locations (x, y). This should contain one row for each receiver (column) in mat (in the same order as in mat) and two columns for the coordinates. Planar coordinates (i.e., in Universal Transverse Mercator projection) are required for the averaging process.

    cl, varlist

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    na_omit, as_POSIXct

    Processing options. na_omit is a logical variable that defines whether or not to omit NAs (i.e., rows in mat for which no detections were made and thus for which COAs cannot be calculated) from returned coordinates. If output = "data.frame" (see below), as_POSIXct is a function to convert time stamps, taken from the row names of mat, to a POSIXct vector. as_POSIXct = NULL suppresses this conversion.

    output

    A character that defines the output format. Currently supported options are: "matrix", which returns a matrix of the coordinates of COAs; and "data.frame", which returns a dataframe with timestamps (taken from the row names of mat) and COA coordinates.

    +
    + 
    coa(
+  mat,
+  xy,
+  cl = NULL,
+  varlist = NULL,
+  na_omit = TRUE,
+  as_POSIXct = as.POSIXct,
+  output = "matrix"
+)
    +
    -

    Value

    +
    +

    Arguments

    +
    mat
    +

    A detection matrix, with one row for each time step and one column for each receiver, in which each cell defines the number of detections at each time step/receiver (for a particular individual) (see make_matrix_detections). It is advisable that the rows and columns of this matrix are labelled by time stamp and receiver respectively, especially if there are any rows without detections (see output below).

    -

    The function returns a matrix or a dataframe, depending on the output argument, that represents a time series of COAs. If na_omit = TRUE, the time series may have `gaps' over which COAs could not be calculated due to the absence of detections.

    -

    Details

    -

    Centres of activity (COA) are a widely used metric for the reconstruction of patterns of space use from passive acoustic telemetry detections. Several methods have been developed to calculate COAs, but the mean-position algorithm is the commonest. Under this approach, COAs are estimated as an average of the locations of receivers at which an individual is detected over a specified time interval, weighted by the frequency of detections at each of those receivers. Within flapper, COAs are calculated in three stages by first exploring possible time intervals over which to calculate COAs with coa_setup_delta_t; then summarising detections over those intervals with make_matrix_detections; and finally passing the resultant detection matrix to the coa function to calculate COAs. This implements the arithmetic version of the mean-position algorithm, calculating the arithmetic mean of the receiver locations, weighted by the frequency of detections at each receiver.

    -

    To generate estimates of space use, COAs are usually taken as point estimates from which utilisation distributions (typically kernel utilisation distributions, KUDs) are estimated. Thus, in the case of a coupled COA-KUD approach, usually the estimate of space use is a (kernel) utilisation distribution which describes the probability of relocating an individual in any given area at a randomly chosen time. Alternative methods of home range analysis, including those which incorporate time, such as dynamic Brownian bridge movement models, can be used to estimate the utilisation distribution. Generally, the COA approach is most suitable when detections are relatively frequent, and receivers are regularly distributed across an area. Under other conditions, its performance as a method for estimating space use has been subject to relatively limited evaluation but it can be problematic (e.g., in clustered arrays).

    -

    References

    +
    xy
    +

    A matrix that defines receiver locations (x, y). This should contain one row for each receiver (column) in mat (in the same order as in mat) and two columns for the coordinates. Planar coordinates (i.e., in Universal Transverse Mercator projection) are required for the averaging process.

    -

    Simpfendorfer, C. A., M. R. Heupel, and R. E. Hueter. 2002. Estimation of short-term centers of activity from an array of omnidirectional hydrophones and its use in studying animal movements. Canadian Journal of Fisheries and Aquatic Sciences 59:23-32.

    -

    See also

    -

    coa_setup_delta_t suggests suitable time intervals over which to calculate COAs. make_matrix_detections makes the detection matrices from detection time series data required by this function. For data in the VEMCO Vue export format, the `COA' function in the VTrack package (https://github.com/RossDwyer/VTrack) can also be used to calculate centres of activity.

    -

    Author

    +
    cl, varlist
    +

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    -

    Edward Lavender

    -

    Examples

    - 
    #### Define data for the calculation of COAs
+
    na_omit, as_POSIXct
    
+
    Processing options. na_omit is a logical variable that defines whether or not to omit NAs (i.e., rows in mat for which no detections were made and thus for which COAs cannot be calculated) from returned coordinates. If output = "data.frame" (see below), as_POSIXct is a function to convert time stamps, taken from the row names of mat, to a POSIXct vector. as_POSIXct = NULL suppresses this conversion.
    
 
-## (1) Define the period over which to calculate COAs
-# ... by focusing on the time over which IDs were at liberty.
-dat_ids$tag_start_date <- as.POSIXct(dat_ids$tag_start_date)
-dat_ids$tag_end_date   <- as.POSIXct("2017-06-02")
 
-## (2) Define the receivers over which to calculate detections
-# ... Here we use factors to ensure that the order of receiver coordinates
-# ... (see below) and the order or receivers in the detection matrix
-# ... matches.
-dat_moorings$receiver_id <- factor(dat_moorings$receiver_id)
-dat_acoustics$receiver_id <- factor(dat_acoustics$receiver_id,
-                                    levels = levels(dat_moorings$receiver_id))
+
    output
    
+
    A character that defines the output format. Currently supported options are: "matrix", which returns a matrix of the coordinates of COAs; and "data.frame", which returns a dataframe with timestamps (taken from the row names of mat) and COA coordinates.
    
 
-## (3) Define the detection matrix
-# ... Here we simply create a detection matrix across all IDs and using
-# ... a convenient (but unjustified) delta_t value. In reality, we would need
-# ... to consider the time series for which to calculate
-# ... COAs and the appropriate delta t value(s) more carefully.
-detection_matrix_by_id <- make_matrix_detections(dat_acoustics,
-                                                 delta_t = "days",
-                                                 start = min(dat_ids$tag_start_date),
-                                                 end = max(dat_ids$tag_end_date))
-
    #> flapper::make_matrix_detections() called (@ 2022-06-17 09:59:27)... 
-#> ... Checking user inputs... 
-#> ... Defining time bins given 'delta_t'... 
-#> ... Making detection matrix... 
-#> ... flapper::make_matrix_detections() call completed (@ 2022-06-17 09:59:27) after ~0 minutes. 
    
-## (4) Define receiver coordinates with UTM projection
-proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
-proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
-xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
-                        proj_wgs84)
-xy <- sp::spTransform(xy, proj_utm)
-xy <- sp::coordinates(xy)
+
    +
    +

    Value

    + -#### Example (1): Implement the COA algorithm for an example individual -coa_mat <- coa(mat = detection_matrix_by_id[[1]], xy = xy) -utils::str(coa_mat) -
    #> num [1:255, 1:2] 709191 709276 709276 707542 705754 ... -#> - attr(*, "dimnames")=List of 2 -#> ..$ : chr [1:255] "2016-03-17 00:00:00" "2016-03-21 00:00:00" "2016-03-22 00:00:00" "2016-03-23 00:00:00" ... -#> ..$ : chr [1:2] "x" "y" -#> - attr(*, "na.action")= 'omit' Named num [1:197] 1 2 3 4 5 6 7 8 9 10 ... -#> ..- attr(*, "names")= chr [1:197] "2016-03-07 00:00:00" "2016-03-08 00:00:00" "2016-03-09 00:00:00" "2016-03-10 00:00:00" ...
    -#### Example (2): Change the output format and coerce time stamps to POSIXct format -coa_dat <- coa(mat = detection_matrix_by_id[[1]], xy = xy, output = "data.frame") -utils::str(coa_dat) -
    #> 'data.frame': 255 obs. of 3 variables: -#> $ timestamp: POSIXct, format: "2016-03-17 00:00:00" "2016-03-21 00:00:00" ... -#> $ x : num 709191 709276 709276 707542 705754 ... -#> $ y : num 6253067 6253117 6253117 6267727 6267071 ...
    -#### Example (3): Implement the algorithm on a cluster -# This will only be faster for very large detection time series. -if(flapper_run_parallel){ - coa_mat <- coa(mat = detection_matrix_by_id[[1]], - xy = xy, - cl = parallel::makeCluster(2L)) -} +

    The function returns a matrix or a dataframe, depending on the output argument, that represents a time series of COAs. If na_omit = TRUE, the time series may have `gaps' over which COAs could not be calculated due to the absence of detections.

    +
    +
    +

    Details

    +

    Centres of activity (COA) are a widely used metric for the reconstruction of patterns of space use from passive acoustic telemetry detections. Several methods have been developed to calculate COAs, but the mean-position algorithm is the commonest. Under this approach, COAs are estimated as an average of the locations of receivers at which an individual is detected over a specified time interval, weighted by the frequency of detections at each of those receivers. Within flapper, COAs are calculated in three stages by first exploring possible time intervals over which to calculate COAs with coa_setup_delta_t; then summarising detections over those intervals with make_matrix_detections; and finally passing the resultant detection matrix to the coa function to calculate COAs. This implements the arithmetic version of the mean-position algorithm, calculating the arithmetic mean of the receiver locations, weighted by the frequency of detections at each receiver.

    +

    To generate estimates of space use, COAs are usually taken as point estimates from which utilisation distributions (typically kernel utilisation distributions, KUDs) are estimated. Thus, in the case of a coupled COA-KUD approach, usually the estimate of space use is a (kernel) utilisation distribution which describes the probability of relocating an individual in any given area at a randomly chosen time. Alternative methods of home range analysis, including those which incorporate time, such as dynamic Brownian bridge movement models, can be used to estimate the utilisation distribution. Generally, the COA approach is most suitable when detections are relatively frequent, and receivers are regularly distributed across an area. Under other conditions, its performance as a method for estimating space use has been subject to relatively limited evaluation but it can be problematic (e.g., in clustered arrays).

    +
    +
    +

    References

    +

    Simpfendorfer, C. A., M. R. Heupel, and R. E. Hueter. 2002. Estimation of short-term centers of activity from an array of omnidirectional hydrophones and its use in studying animal movements. Canadian Journal of Fisheries and Aquatic Sciences 59:23-32.

    +
    +
    +

    See also

    +

    coa_setup_delta_t suggests suitable time intervals over which to calculate COAs. make_matrix_detections makes the detection matrices from detection time series data required by this function. For data in the VEMCO Vue export format, the `COA' function in the VTrack package (https://github.com/RossDwyer/VTrack) can also be used to calculate centres of activity.

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    -
    +
    +

    Examples

    + 
    #### Define data for the calculation of COAs
+
+## (1) Define the period over which to calculate COAs
+# ... by focusing on the time over which IDs were at liberty.
+dat_ids$tag_start_date <- as.POSIXct(dat_ids$tag_start_date)
+dat_ids$tag_end_date   <- as.POSIXct("2017-06-02")
+
+## (2) Define the receivers over which to calculate detections
+# ... Here we use factors to ensure that the order of receiver coordinates
+# ... (see below) and the order or receivers in the detection matrix
+# ... matches.
+dat_moorings$receiver_id <- factor(dat_moorings$receiver_id)
+dat_acoustics$receiver_id <- factor(dat_acoustics$receiver_id,
+                                    levels = levels(dat_moorings$receiver_id))
+
+## (3) Define the detection matrix
+# ... Here we simply create a detection matrix across all IDs and using
+# ... a convenient (but unjustified) delta_t value. In reality, we would need
+# ... to consider the time series for which to calculate
+# ... COAs and the appropriate delta t value(s) more carefully.
+detection_matrix_by_id <- make_matrix_detections(dat_acoustics,
+                                                 delta_t = "days",
+                                                 start = min(dat_ids$tag_start_date),
+                                                 end = max(dat_ids$tag_end_date))
+#> flapper::make_matrix_detections() called (@ 2023-02-19 14:53:02)... 
+#> ... Checking user inputs... 
+#> ... Defining time bins given 'delta_t'... 
+#> ... Making detection matrix... 
+#> ... flapper::make_matrix_detections() call completed (@ 2023-02-19 14:53:02) after ~0 minutes. 
+
+## (4) Define receiver coordinates with UTM projection
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
+xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
+                        proj_wgs84)
+xy <- sp::spTransform(xy, proj_utm)
+xy <- sp::coordinates(xy)
+
+#### Example (1): Implement the COA algorithm for an example individual
+coa_mat <- coa(mat = detection_matrix_by_id[[1]], xy = xy)
+utils::str(coa_mat)
+#>  num [1:255, 1:2] 709191 709276 709276 707542 705754 ...
+#>  - attr(*, "dimnames")=List of 2
+#>   ..$ : chr [1:255] "2016-03-17 01:00:00" "2016-03-21 01:00:00" "2016-03-22 01:00:00" "2016-03-23 01:00:00" ...
+#>   ..$ : chr [1:2] "x" "y"
+#>  - attr(*, "na.action")= 'omit' Named num [1:197] 1 2 3 4 5 6 7 8 9 10 ...
+#>   ..- attr(*, "names")= chr [1:197] "2016-03-07 01:00:00" "2016-03-08 01:00:00" "2016-03-09 01:00:00" "2016-03-10 01:00:00" ...
+
+#### Example (2): Change the output format and coerce time stamps to POSIXct format
+coa_dat <- coa(mat = detection_matrix_by_id[[1]], xy = xy, output = "data.frame")
+utils::str(coa_dat)
+#> 'data.frame':	255 obs. of  3 variables:
+#>  $ timestamp: POSIXct, format: "2016-03-17 01:00:00" "2016-03-21 01:00:00" ...
+#>  $ x        : num  709191 709276 709276 707542 705754 ...
+#>  $ y        : num  6253067 6253117 6253117 6267727 6267071 ...
+
+#### Example (3): Implement the algorithm on a cluster
+# This will only be faster for very large detection time series.
+if(flapper_run_parallel){
+  coa_mat <- coa(mat = detection_matrix_by_id[[1]],
+                 xy = xy,
+                 cl = parallel::makeCluster(2L))
+}
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/coa_setup_delta_t-1.png b/docs/reference/coa_setup_delta_t-1.png index 0613cad..f6df02d 100644 Binary files a/docs/reference/coa_setup_delta_t-1.png and b/docs/reference/coa_setup_delta_t-1.png differ diff --git a/docs/reference/coa_setup_delta_t-2.png b/docs/reference/coa_setup_delta_t-2.png index e37bbd8..00a755d 100644 Binary files a/docs/reference/coa_setup_delta_t-2.png and b/docs/reference/coa_setup_delta_t-2.png differ diff --git a/docs/reference/coa_setup_delta_t-3.png b/docs/reference/coa_setup_delta_t-3.png index 697082d..7a2dce2 100644 Binary files a/docs/reference/coa_setup_delta_t-3.png and b/docs/reference/coa_setup_delta_t-3.png differ diff --git a/docs/reference/coa_setup_delta_t-4.png b/docs/reference/coa_setup_delta_t-4.png index 271d7b1..dca4691 100644 Binary files a/docs/reference/coa_setup_delta_t-4.png and b/docs/reference/coa_setup_delta_t-4.png differ diff --git a/docs/reference/coa_setup_delta_t.html b/docs/reference/coa_setup_delta_t.html index 94e7177..5fe1c9c 100644 --- a/docs/reference/coa_setup_delta_t.html +++ b/docs/reference/coa_setup_delta_t.html @@ -1,69 +1,14 @@ - - - - - - - -Suggest time intervals over which to calculate centres of activity — coa_setup_delta_t • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Suggest time intervals over which to calculate centres of activity — coa_setup_delta_t • flapper - - - - - - - - - - - - - + + -
    -
    - -
    - -
    +

    Suggest time intervals over which to calculate centres of activity

    - Source: R/coa.R + Source: R/coa.R
    @@ -127,67786 +69,67820 @@

    Suggest time intervals over which to calculate centres of activity

    To implement these approaches, it is necessary to supply a dataframe with detections for a particular individual (acoustics), the interval to be evaluated (delta_t) and the method. For each method, two implementations are possible. The first implementation (implementation = 1L) follows Simpfendorfer et al.'s (2002) approach and examines the frequency distribution(s) for the total number of receivers and/or detections, which is appropriate if the total number of receivers is constant over the duration of detections. The second implementation (implementation = 2L) examines the distribution(s) of the percent of receivers with detections or the number of detections per receiver and can be more appropriate if the number of receivers changes substantially through time. Using these inputs, the function plots the specified distributions and returns a named list with the data plotted. This approach can be applied iteratively over multiple delta_t values to evaluate their relative suitability.

    - 
    coa_setup_delta_t(
-  acoustics,
-  delta_t,
-  method = 1L,
-  implementation = 1L,
-  moorings = NULL,
-  xlab = NULL,
-  ylab = NULL,
-  main = NULL,
-  xlim = NULL,
-  ylim = NULL,
-  add_additional = NULL,
-  type = "b",
-  ...,
-  verbose = TRUE
-)
    +
    + 
    coa_setup_delta_t(
+  acoustics,
+  delta_t,
+  method = 1L,
+  implementation = 1L,
+  moorings = NULL,
+  xlab = NULL,
+  ylab = NULL,
+  main = NULL,
+  xlim = NULL,
+  ylim = NULL,
+  add_additional = NULL,
+  type = "b",
+  ...,
+  verbose = TRUE
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    acoustics

    A dataframe with passive acoustic telemetry detection time series (see dat_acoustics for an example) for a specific individual. This should contain the following columns: a vector of receiver IDs, named `receiver_id'; and a POSIXct vector of time stamps, named `timestamp'.

    delta_t

    A number or character, passed to the `breaks' argument of cut.POSIXt, that defines the time interval to be evaluated.

    method

    An integer (1L, 2L or 1:2L) that defines the method(s) used to evaluate the time intervals (see Description).

    implementation

    An integer (1L or 2L) that defines the metric(s) used in the evaluation: 1, the total number of receivers/detections; or 2, the percent of receivers/number of detections per receiver (see Description). If implementation = 2L and the total number of receivers is constant through time, the function reverts to implementation = 1L, the results of which are more interpretable.

    moorings

    (optional) If implementation = 2L, moorings is a dataframe that defines, for each receiver, the deployment period. This is required to calculate the number of operational receivers over time (via get_n_operational_ts). This must contain the following columns: a vector of receiver IDs that includes all receivers in acoustics, named `receiver_id'; and the times of receiver deployment and retrieval, named `receiver_start_date' and `receiver_end_date' respectively. These are coerced to POSIXct vectors, if required, to match acoustics$timestamp.

    xlab, ylab, main

    Character strings that define the x and y axis labels and the plot title. If method = 1:2L, a single input will label both plots identically, whereas a list with one element for each method will label the plots differently.

    xlim, ylim

    X and y axis limits. If method = 1:2L, a single vector will affect both plots identically, whereas a list with one element for each method will affect plots differently.

    add_additional

    (optional) A stand-alone function, to be executed after a plot has been made, to customise the result.

    type, ...

    Additional arguments, passed to pretty_plot, that affect all plots.

    verbose

    A logical variable that defines whether or not to print messages to the console to relay function progress.

    +
    +

    Arguments

    +
    acoustics
    +

    A dataframe with passive acoustic telemetry detection time series (see dat_acoustics for an example) for a specific individual. This should contain the following columns: a vector of receiver IDs, named `receiver_id'; and a POSIXct vector of time stamps, named `timestamp'.

    -

    Value

    -

    The function returns a named list and a plot for each method. The list contains a `data' element that is a named list of dataframes for each method (`m1', `m2') and implementation (`i1', `i2'). For `m1_i1', the dataframe contains the number of receivers with detections (`n_receiver_with_detections') and the percent of the time series for which that number of receivers made detections (`pc_of_ts'). For `m1_i2', the percentage of receivers with detections (`pc_receiver_with_detections') is given instead. For `m2_i1', the number of detections (`n_detections') is given; for `m2_i2', it is the number of detections per receiver (`n_detections_per_receiver'). The list also contains an `args' element that records the inputs to acoustics and delta_t for reference.

    -

    Details

    +
    delta_t
    +

    A number or character, passed to the `breaks' argument of cut.POSIXt, that defines the time interval to be evaluated.

    -

    The selection of the most appropriate time interval over which to calculate COAs reflects a trade off between (a) larger intervals, over which time more detections at more receivers are made, which enable more accurate estimates, versus (b) smaller intervals, over which time movement is more restricted and centres of activity are representative of the individual's location or short-term centre of activity (Simpfendorfer et al., 2002). As a starting point, Simpfendorfer et al. (2002) suggest intervals from 5 - 60 minutes may often be suitable, although longer intervals may be required.

    -

    References

    -

    Simpfendorfer, C. A., M. R. Heupel, and R. E. Hueter. 2002. Estimation of short-term centers of activity from an array of omnidirectional hydrophones and its use in studying animal movements. Canadian Journal of Fisheries and Aquatic Sciences 59:23-32.

    -

    See also

    +
    method
    +

    An integer (1L, 2L or 1:2L) that defines the method(s) used to evaluate the time intervals (see Description).

    -

    coa calculates centres of activity.

    -

    Author

    -

    Edward Lavender

    +
    implementation
    +

    An integer (1L or 2L) that defines the metric(s) used in the evaluation: 1, the total number of receivers/detections; or 2, the percent of receivers/number of detections per receiver (see Description). If implementation = 2L and the total number of receivers is constant through time, the function reverts to implementation = 1L, the results of which are more interpretable.

    + + +
    moorings
    +

    (optional) If implementation = 2L, moorings is a dataframe that defines, for each receiver, the deployment period. This is required to calculate the number of operational receivers over time (via get_n_operational_ts). This must contain the following columns: a vector of receiver IDs that includes all receivers in acoustics, named `receiver_id'; and the times of receiver deployment and retrieval, named `receiver_start_date' and `receiver_end_date' respectively. These are coerced to POSIXct vectors, if required, to match acoustics$timestamp.

    + + +
    xlab, ylab, main
    +

    Character strings that define the x and y axis labels and the plot title. If method = 1:2L, a single input will label both plots identically, whereas a list with one element for each method will label the plots differently.

    + + +
    xlim, ylim
    +

    X and y axis limits. If method = 1:2L, a single vector will affect both plots identically, whereas a list with one element for each method will affect plots differently.

    + -

    Examples

    - 
    #### Example (1): For a specified delta_t, use a specific method and implementation
-pp <- graphics::par(mfrow = c(2, 2))
-dat <- coa_setup_delta_t(acoustics = dat_acoustics[dat_acoustics$individual_id == 25, ],
-                         delta_t = "6 hours",
-                         method = 1L,
-                         implementation = 1L,
-                         main = "1(1)")
-
    #> flapper::coa_setup_delta_t() called (@ 2022-06-17 09:59:28)... 
-#> ... Calculating detection statistics across time intervals.... 
-#> ... Implementing method 1... 
-#> ... ... Using implementation = 1L... 
    #> ... flapper::coa_setup_delta_t() call completed (@ 2022-06-17 09:59:28) after ~0 minutes. 
    utils::str(dat)
-
    #> List of 2
-#>  $ data:List of 4
-#>   ..$ m1_i1:'data.frame':	38 obs. of  2 variables:
-#>   .. ..$ n_receiver_with_detections: int [1:38] 0 1 2 3 4 5 6 7 8 9 ...
-#>   .. ..$ pc_of_ts                  : num [1:38] 73.299 21.032 4.422 0.794 0.397 ...
-#>   ..$ m1_i2: NULL
-#>   ..$ m2_i1: NULL
-#>   ..$ m2_i2: NULL
-#>  $ args:List of 2
-#>   ..$ acoustics:'data.frame':	13008 obs. of  9 variables:
-#>   .. ..$ individual_id : int [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
-#>   .. ..$ transmitter_id: chr [1:13008] "A69-1303-555" "A69-1303-555" "A69-1303-555" "A69-1303-555" ...
-#>   .. ..$ index         : int [1:13008] 1 2 4 5 7 8 9 10 12 14 ...
-#>   .. ..$ timestamp     : POSIXct[1:13008], format: "2016-03-17 01:50:00" "2016-03-17 01:52:00" ...
-#>   .. ..$ receiver_id   : int [1:13008] 26 26 26 26 26 26 26 26 26 26 ...
-#>   .. ..$ receiver      : chr [1:13008] "VR2W-108163" "VR2W-108163" "VR2W-108163" "VR2W-108163" ...
-#>   .. ..$ receiver_long : num [1:13008] -5.61 -5.61 -5.61 -5.61 -5.61 ...
-#>   .. ..$ receiver_lat  : num [1:13008] 56.4 56.4 56.4 56.4 56.4 ...
-#>   .. ..$ receiver_depth: num [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
-#>   ..$ delta_t  : chr "6 hours"
    dat <- coa_setup_delta_t(acoustics = dat_acoustics[dat_acoustics$individual_id == 25, ],
-                         delta_t = "6 hours",
-                         method = 1L,
-                         implementation = 2L,
-                         moorings = dat_moorings,
-                         main = "1(2)")
-
    #> flapper::coa_setup_delta_t() called (@ 2022-06-17 09:59:28)... 
-#> ... Calculating the number of operational receivers through time for implementation = 2L... 
-#> ... Calculating detection statistics across time intervals.... 
-#> ... Implementing method 1... 
-#> ... ... Using implementation = 2L... 
    #> ... flapper::coa_setup_delta_t() call completed (@ 2022-06-17 09:59:28) after ~0 minutes. 
    utils::str(dat)
-
    #> List of 2
-#>  $ data:List of 4
-#>   ..$ m1_i1: NULL
-#>   ..$ m1_i2:'data.frame':	22 obs. of  2 variables:
-#>   .. ..$ pc_receiver_with_detections: num [1:22] 0 4.35 4.55 4.76 5 ...
-#>   .. ..$ pc_of_ts                   : num [1:22] 73.356 4.932 1.871 0.283 3.458 ...
-#>   ..$ m2_i1: NULL
-#>   ..$ m2_i2: NULL
-#>  $ args:List of 2
-#>   ..$ acoustics:'data.frame':	13008 obs. of  9 variables:
-#>   .. ..$ individual_id : int [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
-#>   .. ..$ transmitter_id: chr [1:13008] "A69-1303-555" "A69-1303-555" "A69-1303-555" "A69-1303-555" ...
-#>   .. ..$ index         : int [1:13008] 1 2 4 5 7 8 9 10 12 14 ...
-#>   .. ..$ timestamp     : POSIXct[1:13008], format: "2016-03-17 01:50:00" "2016-03-17 01:52:00" ...
-#>   .. ..$ receiver_id   : int [1:13008] 26 26 26 26 26 26 26 26 26 26 ...
-#>   .. ..$ receiver      : chr [1:13008] "VR2W-108163" "VR2W-108163" "VR2W-108163" "VR2W-108163" ...
-#>   .. ..$ receiver_long : num [1:13008] -5.61 -5.61 -5.61 -5.61 -5.61 ...
-#>   .. ..$ receiver_lat  : num [1:13008] 56.4 56.4 56.4 56.4 56.4 ...
-#>   .. ..$ receiver_depth: num [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
-#>   ..$ delta_t  : chr "6 hours"
    dat <- coa_setup_delta_t(acoustics = dat_acoustics[dat_acoustics$individual_id == 25, ],
-                         delta_t = "6 hours",
-                         method = 2L,
-                         implementation = 1L,
-                         main = "2(1)")
-
    #> flapper::coa_setup_delta_t() called (@ 2022-06-17 09:59:28)... 
-#> ... Calculating detection statistics across time intervals.... 
-#> ... Implementing method 2... 
-#> ... ... Using implementation = 1L... 
    #> ... flapper::coa_setup_delta_t() call completed (@ 2022-06-17 09:59:28) after ~0 minutes. 
    utils::str(dat)
-
    #> List of 2
-#>  $ data:List of 4
-#>   ..$ m1_i1: NULL
-#>   ..$ m1_i2: NULL
-#>   ..$ m2_i1:'data.frame':	107 obs. of  2 variables:
-#>   .. ..$ n_detections: num [1:107] 0 1 2 3 4 5 6 7 8 9 ...
-#>   .. ..$ pc_of_ts    : num [1:107] 73.3 0.68 1.42 1.13 1.08 ...
-#>   ..$ m2_i2: NULL
-#>  $ args:List of 2
-#>   ..$ acoustics:'data.frame':	13008 obs. of  9 variables:
-#>   .. ..$ individual_id : int [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
-#>   .. ..$ transmitter_id: chr [1:13008] "A69-1303-555" "A69-1303-555" "A69-1303-555" "A69-1303-555" ...
-#>   .. ..$ index         : int [1:13008] 1 2 4 5 7 8 9 10 12 14 ...
-#>   .. ..$ timestamp     : POSIXct[1:13008], format: "2016-03-17 01:50:00" "2016-03-17 01:52:00" ...
-#>   .. ..$ receiver_id   : int [1:13008] 26 26 26 26 26 26 26 26 26 26 ...
-#>   .. ..$ receiver      : chr [1:13008] "VR2W-108163" "VR2W-108163" "VR2W-108163" "VR2W-108163" ...
-#>   .. ..$ receiver_long : num [1:13008] -5.61 -5.61 -5.61 -5.61 -5.61 ...
-#>   .. ..$ receiver_lat  : num [1:13008] 56.4 56.4 56.4 56.4 56.4 ...
-#>   .. ..$ receiver_depth: num [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
-#>   ..$ delta_t  : chr "6 hours"
    dat <- coa_setup_delta_t(acoustics = dat_acoustics[dat_acoustics$individual_id == 25, ],
-                         delta_t = "6 hours",
-                         method = 2L,
-                         implementation = 2L,
-                         moorings = dat_moorings,
-                         main = "2(2)")
-
    #> flapper::coa_setup_delta_t() called (@ 2022-06-17 09:59:28)... 
-#> ... Calculating the number of operational receivers through time for implementation = 2L... 
-#> ... Calculating detection statistics across time intervals.... 
-#> ... Implementing method 2... 
-#> ... ... Using implementation = 2L... 
    #> ... flapper::coa_setup_delta_t() call completed (@ 2022-06-17 09:59:28) after ~0 minutes. 
    utils::str(dat)
-
    #> List of 2
-#>  $ data:List of 4
-#>   ..$ m1_i1: NULL
-#>   ..$ m1_i2: NULL
-#>   ..$ m2_i1: NULL
-#>   ..$ m2_i2:'data.frame':	246 obs. of  2 variables:
-#>   .. ..$ pc_detections_per_receiver: num [1:246] 0 0.0435 0.0556 0.0588 0.0714 ...
-#>   .. ..$ pc_of_ts                  : num [1:246] 73.299 0.113 0.17 0.17 0.113 ...
-#>  $ args:List of 2
-#>   ..$ acoustics:'data.frame':	13008 obs. of  9 variables:
-#>   .. ..$ individual_id : int [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
-#>   .. ..$ transmitter_id: chr [1:13008] "A69-1303-555" "A69-1303-555" "A69-1303-555" "A69-1303-555" ...
-#>   .. ..$ index         : int [1:13008] 1 2 4 5 7 8 9 10 12 14 ...
-#>   .. ..$ timestamp     : POSIXct[1:13008], format: "2016-03-17 01:50:00" "2016-03-17 01:52:00" ...
-#>   .. ..$ receiver_id   : int [1:13008] 26 26 26 26 26 26 26 26 26 26 ...
-#>   .. ..$ receiver      : chr [1:13008] "VR2W-108163" "VR2W-108163" "VR2W-108163" "VR2W-108163" ...
-#>   .. ..$ receiver_long : num [1:13008] -5.61 -5.61 -5.61 -5.61 -5.61 ...
-#>   .. ..$ receiver_lat  : num [1:13008] 56.4 56.4 56.4 56.4 56.4 ...
-#>   .. ..$ receiver_depth: num [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
-#>   ..$ delta_t  : chr "6 hours"
    graphics::par(pp)
+
    add_additional
    
+
    (optional) A stand-alone function, to be executed after a plot has been made, to customise the result.
    
 
-#### Example (2) For a specified delta_t, use both methods
-pp <- graphics::par(mfrow = c(1, 2))
-dat <- coa_setup_delta_t(acoustics = dat_acoustics[dat_acoustics$individual_id == 25, ],
-                         delta_t = "6 hours",
-                         method = 1:2L,
-                         implementation = 1L)
-
    #> flapper::coa_setup_delta_t() called (@ 2022-06-17 09:59:28)... 
-#> ... Calculating detection statistics across time intervals.... 
-#> ... Implementing method 1... 
-#> ... ... Using implementation = 1L... 
    #> ... Implementing method 2... 
-#> ... ... Using implementation = 1L... 
    #> ... flapper::coa_setup_delta_t() call completed (@ 2022-06-17 09:59:28) after ~0 minutes. 
    graphics::par(pp)
 
-#### Example (3) Plot customisation options
-# xlim,ylim,xlab,ylab,main accept a vector that affects all plots
-# ... or a list that affects each plot (see 'ylim' versus 'xlim' below).
-# ... other arguments can be passed to prettyGraphics::pretty_plot() via...
-pp <- graphics::par(mfrow = c(1, 2))
-dat <- coa_setup_delta_t(acoustics = dat_acoustics[dat_acoustics$individual_id == 25, ],
-                         delta_t = "6 hours",
-                         xlim = list(c(0, 50), c(0, 450)), ylim = c(0, 100),
-                         method = 1:2L,
-                         implementation = 1L,
-                         main = list("A", "B"),
-                         col = "royalblue", lwd = 2)
-
    #> flapper::coa_setup_delta_t() called (@ 2022-06-17 09:59:28)... 
-#> ... Calculating detection statistics across time intervals.... 
-#> ... Implementing method 1... 
-#> ... ... Using implementation = 1L... 
    #> ... Implementing method 2... 
-#> ... ... Using implementation = 1L... 
    #> ... flapper::coa_setup_delta_t() call completed (@ 2022-06-17 09:59:28) after ~0 minutes. 
    graphics::par(pp)
+
    type, ...
    
+
    Additional arguments, passed to pretty_plot, that affect all plots.
    
 
-#### Example (4) Compare multiple delta_t values
-pp <- graphics::par(mfrow = c(3, 2))
-delta_t_opts <- c("6 hours", "12 hours", "24 hours")
-lapply(delta_t_opts, function(delta_t){
-  coa_setup_delta_t(acoustics = dat_acoustics[dat_acoustics$individual_id == 25, ],
-                    delta_t = delta_t,
-                    method = 1:2L,
-                    implementation = 2L,
-                    moorings = dat_moorings,
-                    main = delta_t, col = "royalblue")
-})
-
    #> flapper::coa_setup_delta_t() called (@ 2022-06-17 09:59:28)... 
-#> ... Calculating the number of operational receivers through time for implementation = 2L... 
-#> ... Calculating detection statistics across time intervals.... 
-#> ... Implementing method 1... 
-#> ... ... Using implementation = 2L... 
    #> ... Implementing method 2... 
-#> ... ... Using implementation = 2L... 
    #> ... flapper::coa_setup_delta_t() call completed (@ 2022-06-17 09:59:28) after ~0 minutes. 
-#> flapper::coa_setup_delta_t() called (@ 2022-06-17 09:59:28)... 
-#> ... Calculating the number of operational receivers through time for implementation = 2L... 
-#> ... Calculating detection statistics across time intervals.... 
-#> ... Implementing method 1... 
-#> ... ... Using implementation = 2L... 
    #> ... Implementing method 2... 
-#> ... ... Using implementation = 2L... 
    #> ... flapper::coa_setup_delta_t() call completed (@ 2022-06-17 09:59:28) after ~0 minutes. 
-#> flapper::coa_setup_delta_t() called (@ 2022-06-17 09:59:28)... 
-#> ... Calculating the number of operational receivers through time for implementation = 2L... 
-#> ... Calculating detection statistics across time intervals.... 
-#> ... Implementing method 1... 
-#> ... ... Using implementation = 2L... 
    #> ... Implementing method 2... 
-#> ... ... Using implementation = 2L... 
    #> ... flapper::coa_setup_delta_t() call completed (@ 2022-06-17 09:59:28) after ~0 minutes. 
    #> [[1]]
-#> [[1]]$data
-#> [[1]]$data$m1_i1
-#> NULL
-#> 
-#> [[1]]$data$m1_i2
-#>    pc_receiver_with_detections    pc_of_ts
-#> 1                     0.000000 73.35600907
-#> 2                     4.347826  4.93197279
-#> 3                     4.545455  1.87074830
-#> 4                     4.761905  0.28344671
-#> 5                     5.000000  3.45804989
-#> 6                     5.555556  4.36507937
-#> 7                     5.882353  4.36507937
-#> 8                     6.250000  0.68027211
-#> 9                     7.142857  0.62358277
-#> 10                    8.333333  0.28344671
-#> 11                    8.695652  0.22675737
-#> 12                    9.090909  0.17006803
-#> 13                   10.000000  1.64399093
-#> 14                   11.111111  0.73696145
-#> 15                   11.764706  1.19047619
-#> 16                   12.500000  0.17006803
-#> 17                   14.285714  0.34013605
-#> 18                   15.000000  0.45351474
-#> 19                   16.666667  0.22675737
-#> 20                   17.647059  0.22675737
-#> 21                   20.000000  0.39682540
-#> 22                   25.000000  0.05668934
-#> 
-#> [[1]]$data$m2_i1
-#> NULL
-#> 
-#> [[1]]$data$m2_i2
-#>     pc_detections_per_receiver    pc_of_ts
-#> 1                   0.00000000 73.29931973
-#> 2                   0.04347826  0.11337868
-#> 3                   0.05555556  0.17006803
-#> 4                   0.05882353  0.17006803
-#> 5                   0.07142857  0.11337868
-#> 6                   0.08333333  0.11337868
-#> 7                   0.08695652  0.11337868
-#> 8                   0.09090909  0.17006803
-#> 9                   0.10000000  0.51020408
-#> 10                  0.11111111  0.28344671
-#> 11                  0.11764706  0.28344671
-#> 12                  0.12500000  0.05668934
-#> 13                  0.13043478  0.39682540
-#> 14                  0.13636364  0.11337868
-#> 15                  0.16666667  0.28344671
-#> 16                  0.17391304  0.51020408
-#> 17                  0.17647059  0.28344671
-#> 18                  0.18181818  0.05668934
-#> 19                  0.19047619  0.05668934
-#> 20                  0.20000000  0.05668934
-#> 21                  0.21739130  0.28344671
-#> 22                  0.22222222  0.11337868
-#> 23                  0.22727273  0.11337868
-#> 24                  0.23529412  0.22675737
-#> 25                  0.25000000  0.28344671
-#> 26                  0.26086957  0.11337868
-#> 27                  0.27272727  0.17006803
-#> 28                  0.27777778  0.28344671
-#> 29                  0.29411765  0.11337868
-#> 30                  0.30000000  0.39682540
-#> 31                  0.30434783  0.11337868
-#> 32                  0.31818182  0.11337868
-#> 33                  0.33333333  0.17006803
-#> 34                  0.34782609  0.22675737
-#> 35                  0.35000000  0.05668934
-#> 36                  0.35294118  0.51020408
-#> 37                  0.36363636  0.11337868
-#> 38                  0.37500000  0.05668934
-#> 39                  0.39130435  0.17006803
-#> 40                  0.40000000  0.17006803
-#> 41                  0.40909091  0.28344671
-#> 42                  0.41176471  0.22675737
-#> 43                  0.42857143  0.11337868
-#> 44                  0.43478261  0.11337868
-#> 45                  0.43750000  0.05668934
-#> 46                  0.44444444  0.34013605
-#> 47                  0.45000000  0.17006803
-#> 48                  0.45454545  0.05668934
-#> 49                  0.47058824  0.22675737
-#> 50                  0.47826087  0.17006803
-#> 51                  0.50000000  0.39682540
-#> 52                  0.52173913  0.39682540
-#> 53                  0.52941176  0.34013605
-#> 54                  0.55000000  0.11337868
-#> 55                  0.55555556  0.11337868
-#> 56                  0.56521739  0.05668934
-#> 57                  0.57142857  0.11337868
-#> 58                  0.58823529  0.05668934
-#> 59                  0.59090909  0.17006803
-#> 60                  0.60000000  0.11337868
-#> 61                  0.60869565  0.17006803
-#> 62                  0.61111111  0.22675737
-#> 63                  0.62500000  0.05668934
-#> 64                  0.63636364  0.11337868
-#> 65                  0.64705882  0.11337868
-#> 66                  0.65000000  0.22675737
-#> 67                  0.65217391  0.22675737
-#> 68                  0.66666667  0.11337868
-#> 69                  0.68181818  0.05668934
-#> 70                  0.69565217  0.05668934
-#> 71                  0.70000000  0.34013605
-#> 72                  0.70588235  0.22675737
-#> 73                  0.72222222  0.11337868
-#> 74                  0.73913043  0.05668934
-#> 75                  0.75000000  0.17006803
-#> 76                  0.76470588  0.11337868
-#> 77                  0.77777778  0.11337868
-#> 78                  0.78260870  0.11337868
-#> 79                  0.78571429  0.11337868
-#> 80                  0.82352941  0.11337868
-#> 81                  0.82608696  0.28344671
-#> 82                  0.83333333  0.11337868
-#> 83                  0.85000000  0.05668934
-#> 84                  0.85714286  0.05668934
-#> 85                  0.86363636  0.05668934
-#> 86                  0.86956522  0.17006803
-#> 87                  0.87500000  0.05668934
-#> 88                  0.88888889  0.11337868
-#> 89                  0.90000000  0.11337868
-#> 90                  0.91304348  0.17006803
-#> 91                  0.93750000  0.05668934
-#> 92                  0.94117647  0.11337868
-#> 93                  0.94444444  0.11337868
-#> 94                  0.95000000  0.11337868
-#> 95                  0.95454545  0.05668934
-#> 96                  1.00000000  0.28344671
-#> 97                  1.04347826  0.05668934
-#> 98                  1.05000000  0.11337868
-#> 99                  1.05555556  0.11337868
-#> 100                 1.05882353  0.22675737
-#> 101                 1.06250000  0.05668934
-#> 102                 1.09523810  0.05668934
-#> 103                 1.10000000  0.17006803
-#> 104                 1.11111111  0.17006803
-#> 105                 1.11764706  0.11337868
-#> 106                 1.12500000  0.05668934
-#> 107                 1.15000000  0.05668934
-#> 108                 1.17391304  0.05668934
-#> 109                 1.17647059  0.05668934
-#> 110                 1.22222222  0.17006803
-#> 111                 1.23529412  0.05668934
-#> 112                 1.25000000  0.05668934
-#> 113                 1.26086957  0.05668934
-#> 114                 1.27272727  0.05668934
-#> 115                 1.27777778  0.05668934
-#> 116                 1.30000000  0.05668934
-#> 117                 1.30434783  0.11337868
-#> 118                 1.33333333  0.17006803
-#> 119                 1.35294118  0.11337868
-#> 120                 1.39130435  0.05668934
-#> 121                 1.40000000  0.11337868
-#> 122                 1.41176471  0.05668934
-#> 123                 1.44444444  0.05668934
-#> 124                 1.47058824  0.11337868
-#> 125                 1.47826087  0.05668934
-#> 126                 1.50000000  0.11337868
-#> 127                 1.52173913  0.11337868
-#> 128                 1.52941176  0.05668934
-#> 129                 1.55555556  0.05668934
-#> 130                 1.56521739  0.05668934
-#> 131                 1.58823529  0.05668934
-#> 132                 1.60000000  0.05668934
-#> 133                 1.60869565  0.05668934
-#> 134                 1.61111111  0.11337868
-#> 135                 1.64285714  0.05668934
-#> 136                 1.65000000  0.11337868
-#> 137                 1.70588235  0.17006803
-#> 138                 1.73913043  0.05668934
-#> 139                 1.75000000  0.05668934
-#> 140                 1.76470588  0.05668934
-#> 141                 1.80000000  0.05668934
-#> 142                 1.81250000  0.05668934
-#> 143                 1.88235294  0.05668934
-#> 144                 1.88888889  0.05668934
-#> 145                 1.90000000  0.05668934
-#> 146                 1.92857143  0.11337868
-#> 147                 1.93750000  0.05668934
-#> 148                 1.94444444  0.11337868
-#> 149                 1.95652174  0.05668934
-#> 150                 2.04545455  0.05668934
-#> 151                 2.05000000  0.11337868
-#> 152                 2.10000000  0.05668934
-#> 153                 2.14285714  0.05668934
-#> 154                 2.16666667  0.05668934
-#> 155                 2.18181818  0.05668934
-#> 156                 2.21739130  0.05668934
-#> 157                 2.22727273  0.05668934
-#> 158                 2.27272727  0.05668934
-#> 159                 2.27777778  0.11337868
-#> 160                 2.29411765  0.11337868
-#> 161                 2.30000000  0.05668934
-#> 162                 2.35000000  0.05668934
-#> 163                 2.35294118  0.17006803
-#> 164                 2.38888889  0.05668934
-#> 165                 2.41176471  0.05668934
-#> 166                 2.43478261  0.05668934
-#> 167                 2.45000000  0.05668934
-#> 168                 2.47058824  0.05668934
-#> 169                 2.50000000  0.05668934
-#> 170                 2.55000000  0.05668934
-#> 171                 2.55555556  0.11337868
-#> 172                 2.58823529  0.05668934
-#> 173                 2.61111111  0.05668934
-#> 174                 2.65217391  0.05668934
-#> 175                 2.66666667  0.05668934
-#> 176                 2.75000000  0.05668934
-#> 177                 2.76470588  0.05668934
-#> 178                 2.80952381  0.05668934
-#> 179                 2.86956522  0.05668934
-#> 180                 2.88888889  0.05668934
-#> 181                 2.90000000  0.05668934
-#> 182                 2.94444444  0.05668934
-#> 183                 3.00000000  0.17006803
-#> 184                 3.05000000  0.05668934
-#> 185                 3.05555556  0.05668934
-#> 186                 3.10000000  0.05668934
-#> 187                 3.11111111  0.05668934
-#> 188                 3.14285714  0.05668934
-#> 189                 3.17647059  0.05668934
-#> 190                 3.20000000  0.05668934
-#> 191                 3.23529412  0.05668934
-#> 192                 3.27777778  0.05668934
-#> 193                 3.35000000  0.05668934
-#> 194                 3.35294118  0.05668934
-#> 195                 3.45000000  0.05668934
-#> 196                 3.47058824  0.05668934
-#> 197                 3.50000000  0.05668934
-#> 198                 3.55555556  0.11337868
-#> 199                 3.61111111  0.05668934
-#> 200                 3.66666667  0.05668934
-#> 201                 3.76470588  0.05668934
-#> 202                 3.78571429  0.05668934
-#> 203                 3.80000000  0.05668934
-#> 204                 3.88235294  0.05668934
-#> 205                 3.90000000  0.05668934
-#> 206                 4.00000000  0.11337868
-#> 207                 4.05000000  0.05668934
-#> 208                 4.23529412  0.05668934
-#> 209                 4.29411765  0.05668934
-#> 210                 4.43478261  0.05668934
-#> 211                 4.43750000  0.05668934
-#> 212                 4.52941176  0.05668934
-#> 213                 4.57142857  0.05668934
-#> 214                 4.58823529  0.05668934
-#> 215                 4.77777778  0.11337868
-#> 216                 4.90000000  0.05668934
-#> 217                 4.94117647  0.05668934
-#> 218                 5.05882353  0.05668934
-#> 219                 5.08695652  0.05668934
-#> 220                 5.25000000  0.05668934
-#> 221                 5.35294118  0.05668934
-#> 222                 5.68750000  0.05668934
-#> 223                 5.70000000  0.05668934
-#> 224                 5.90000000  0.05668934
-#> 225                 5.94117647  0.05668934
-#> 226                 6.05000000  0.05668934
-#> 227                 6.10000000  0.05668934
-#> 228                 6.11111111  0.05668934
-#> 229                 6.38888889  0.05668934
-#> 230                 6.45000000  0.05668934
-#> 231                 6.50000000  0.05668934
-#> 232                 6.75000000  0.05668934
-#> 233                 6.85714286  0.05668934
-#> 234                 6.90000000  0.11337868
-#> 235                 7.11111111  0.05668934
-#> 236                 7.35294118  0.05668934
-#> 237                 7.77777778  0.05668934
-#> 238                 7.78571429  0.05668934
-#> 239                 8.11111111  0.05668934
-#> 240                 8.37500000  0.05668934
-#> 241                 8.58823529  0.05668934
-#> 242                 9.05000000  0.05668934
-#> 243                 9.21428571  0.05668934
-#> 244                 9.22222222  0.05668934
-#> 245                 9.37500000  0.05668934
-#> 246                14.00000000  0.05668934
-#> 
-#> 
-#> [[1]]$args
-#> [[1]]$args$acoustics
-#>       individual_id transmitter_id index           timestamp receiver_id
-#> 1                25   A69-1303-555     1 2016-03-17 01:50:00          26
-#> 2                25   A69-1303-555     2 2016-03-17 01:52:00          26
-#> 3                25   A69-1303-555     4 2016-03-17 01:54:00          26
-#> 4                25   A69-1303-555     5 2016-03-17 01:58:00          26
-#> 5                25   A69-1303-555     7 2016-03-17 02:00:00          26
-#> 6                25   A69-1303-555     8 2016-03-17 02:04:00          26
-#> 7                25   A69-1303-555     9 2016-03-17 02:06:00          26
-#> 8                25   A69-1303-555    10 2016-03-17 02:08:00          26
-#> 9                25   A69-1303-555    12 2016-03-17 02:10:00          26
-#> 10               25   A69-1303-555    14 2016-03-17 02:12:00          26
-#> 11               25   A69-1303-555    15 2016-03-17 02:14:00          26
-#> 12               25   A69-1303-555    17 2016-03-17 02:16:00          26
-#> 13               25   A69-1303-555    19 2016-03-17 02:18:00          26
-#> 14               25   A69-1303-555    21 2016-03-17 02:20:00          26
-#> 15               25   A69-1303-555    22 2016-03-17 02:22:00          26
-#> 16               25   A69-1303-555    23 2016-03-17 02:24:00          26
-#> 17               25   A69-1303-555    24 2016-03-17 02:30:00          26
-#> 18               25   A69-1303-555    25 2016-03-17 02:32:00          26
-#> 19               25   A69-1303-555    26 2016-03-17 02:52:00          21
-#> 20               25   A69-1303-555    27 2016-03-17 02:54:00          26
-#> 21               25   A69-1303-555    28 2016-03-17 02:56:00          26
-#> 22               25   A69-1303-555    29 2016-03-17 02:56:00          21
-#> 23               25   A69-1303-555    31 2016-03-17 02:58:00          21
-#> 24               25   A69-1303-555    33 2016-03-17 03:00:00          21
-#> 25               25   A69-1303-555    34 2016-03-17 03:02:00          21
-#> 26               25   A69-1303-555    35 2016-03-17 03:04:00          21
-#> 27               25   A69-1303-555    37 2016-03-17 03:06:00          21
-#> 28               25   A69-1303-555    39 2016-03-17 03:08:00          21
-#> 29               25   A69-1303-555    42 2016-03-17 03:10:00          21
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-#> 1259             25   A69-1303-555  1911 2016-06-02 13:28:00          14
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-#> 1268             25   A69-1303-555  1930 2016-06-02 13:50:00          14
-#> 1269             25   A69-1303-555  1932 2016-06-02 13:52:00          14
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-#> 1297             25   A69-1303-555  1981 2016-06-02 14:56:00          14
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-#> 1845             25   A69-1303-555  2913 2016-06-03 19:08:00          14
-#> 1846             25   A69-1303-555  2915 2016-06-03 19:10:00          14
-#> 1847             25   A69-1303-555  2917 2016-06-03 19:12:00          14
-#> 1848             25   A69-1303-555  2919 2016-06-03 19:14:00          14
-#> 1849             25   A69-1303-555  2921 2016-06-03 19:16:00          14
-#> 1850             25   A69-1303-555  2922 2016-06-03 19:18:00          14
-#> 1851             25   A69-1303-555  2925 2016-06-03 19:20:00          14
-#> 1852             25   A69-1303-555  2926 2016-06-03 19:22:00          14
-#> 1853             25   A69-1303-555  2927 2016-06-03 19:24:00          14
-#> 1854             25   A69-1303-555  2929 2016-06-03 19:26:00          14
-#> 1855             25   A69-1303-555  2932 2016-06-03 19:28:00          14
-#> 1856             25   A69-1303-555  2935 2016-06-03 19:30:00          14
-#> 1857             25   A69-1303-555  2937 2016-06-03 19:32:00          14
-#> 1858             25   A69-1303-555  2940 2016-06-04 00:40:00          14
-#> 1859             25   A69-1303-555  2941 2016-06-04 00:42:00          14
-#> 1860             25   A69-1303-555  2942 2016-06-04 00:46:00          14
-#> 1861             25   A69-1303-555  2943 2016-06-04 00:48:00          14
-#> 1862             25   A69-1303-555  2944 2016-06-04 01:00:00          14
-#> 1863             25   A69-1303-555  2945 2016-06-04 01:04:00          14
-#> 1864             25   A69-1303-555  2946 2016-06-04 01:10:00          14
-#> 1865             25   A69-1303-555  2947 2016-06-04 01:12:00          14
-#> 1866             25   A69-1303-555  2948 2016-06-04 01:14:00          14
-#> 1867             25   A69-1303-555  2949 2016-06-04 01:16:00          14
-#> 1868             25   A69-1303-555  2951 2016-06-04 01:18:00          14
-#> 1869             25   A69-1303-555  2952 2016-06-04 01:20:00          14
-#> 1870             25   A69-1303-555  2954 2016-06-04 01:22:00          14
-#> 1871             25   A69-1303-555  2956 2016-06-04 01:24:00          14
-#> 1872             25   A69-1303-555  2957 2016-06-04 01:26:00          14
-#> 1873             25   A69-1303-555  2959 2016-06-04 01:28:00          14
-#> 1874             25   A69-1303-555  2962 2016-06-04 01:30:00          14
-#> 1875             25   A69-1303-555  2963 2016-06-04 01:32:00          14
-#> 1876             25   A69-1303-555  2966 2016-06-04 01:34:00          14
-#> 1877             25   A69-1303-555  2967 2016-06-04 01:36:00          14
-#> 1878             25   A69-1303-555  2968 2016-06-04 01:38:00          14
-#> 1879             25   A69-1303-555  2969 2016-06-04 01:40:00          14
-#> 1880             25   A69-1303-555  2970 2016-06-04 01:44:00          14
-#> 1881             25   A69-1303-555  2972 2016-06-04 01:48:00          14
-#> 1882             25   A69-1303-555  2974 2016-06-04 01:50:00          14
-#> 1883             25   A69-1303-555  2976 2016-06-04 01:54:00          14
-#> 1884             25   A69-1303-555  2978 2016-06-04 01:56:00          14
-#> 1885             25   A69-1303-555  2980 2016-06-04 01:58:00          14
-#> 1886             25   A69-1303-555  2981 2016-06-04 02:00:00          14
-#> 1887             25   A69-1303-555  2983 2016-06-04 02:02:00          14
-#> 1888             25   A69-1303-555  2984 2016-06-04 02:04:00          14
-#> 1889             25   A69-1303-555  2986 2016-06-04 02:06:00          14
-#> 1890             25   A69-1303-555  2988 2016-06-04 02:08:00          14
-#> 1891             25   A69-1303-555  2990 2016-06-04 02:10:00          14
-#> 1892             25   A69-1303-555  2992 2016-06-04 02:12:00          14
-#> 1893             25   A69-1303-555  2994 2016-06-04 02:18:00          14
-#> 1894             25   A69-1303-555  2996 2016-06-04 02:20:00          14
-#> 1895             25   A69-1303-555  2997 2016-06-04 02:22:00          14
-#> 1896             25   A69-1303-555  3000 2016-06-04 02:24:00          14
-#> 1897             25   A69-1303-555  3002 2016-06-04 02:26:00          14
-#> 1898             25   A69-1303-555  3004 2016-06-04 02:28:00          14
-#> 1899             25   A69-1303-555  3005 2016-06-04 02:34:00          14
-#> 1900             25   A69-1303-555  3006 2016-06-04 02:36:00          14
-#> 1901             25   A69-1303-555  3007 2016-06-04 03:12:00          14
-#> 1902             25   A69-1303-555  3009 2016-06-04 03:14:00          14
-#> 1903             25   A69-1303-555  3011 2016-06-04 03:16:00          14
-#> 1904             25   A69-1303-555  3012 2016-06-04 03:18:00          14
-#> 1905             25   A69-1303-555  3013 2016-06-04 03:22:00          14
-#> 1906             25   A69-1303-555  3014 2016-06-04 03:26:00          14
-#> 1907             25   A69-1303-555  3016 2016-06-04 03:28:00          14
-#> 1908             25   A69-1303-555  3017 2016-06-04 03:30:00          14
-#> 1909             25   A69-1303-555  3018 2016-06-04 03:56:00          14
-#> 1910             25   A69-1303-555  3019 2016-06-04 03:58:00          14
-#> 1911             25   A69-1303-555  3021 2016-06-04 04:00:00          14
-#> 1912             25   A69-1303-555  3022 2016-06-04 04:02:00          14
-#> 1913             25   A69-1303-555  3023 2016-06-04 04:04:00          14
-#> 1914             25   A69-1303-555  3025 2016-06-04 04:06:00          14
-#> 1915             25   A69-1303-555  3027 2016-06-04 04:08:00          14
-#> 1916             25   A69-1303-555  3029 2016-06-04 04:10:00          14
-#> 1917             25   A69-1303-555  3030 2016-06-04 04:12:00          14
-#> 1918             25   A69-1303-555  3031 2016-06-04 04:16:00          14
-#> 1919             25   A69-1303-555  3034 2016-06-04 04:24:00          14
-#> 1920             25   A69-1303-555  3035 2016-06-04 04:26:00          14
-#> 1921             25   A69-1303-555  3037 2016-06-04 04:28:00          14
-#> 1922             25   A69-1303-555  3038 2016-06-04 04:32:00          14
-#> 1923             25   A69-1303-555  3039 2016-06-04 04:34:00          14
-#> 1924             25   A69-1303-555  3040 2016-06-04 04:38:00          14
-#> 1925             25   A69-1303-555  3042 2016-06-04 04:40:00          14
-#> 1926             25   A69-1303-555  3044 2016-06-04 04:42:00          14
-#> 1927             25   A69-1303-555  3045 2016-06-04 04:44:00          14
-#> 1928             25   A69-1303-555  3047 2016-06-04 04:46:00          14
-#> 1929             25   A69-1303-555  3049 2016-06-04 04:48:00          14
-#> 1930             25   A69-1303-555  3050 2016-06-04 04:50:00          14
-#> 1931             25   A69-1303-555  3052 2016-06-04 04:52:00          14
-#> 1932             25   A69-1303-555  3054 2016-06-04 04:54:00          14
-#> 1933             25   A69-1303-555  3055 2016-06-04 04:56:00          14
-#> 1934             25   A69-1303-555  3057 2016-06-04 04:58:00          14
-#> 1935             25   A69-1303-555  3059 2016-06-04 05:00:00          14
-#> 1936             25   A69-1303-555  3061 2016-06-04 05:02:00          14
-#> 1937             25   A69-1303-555  3063 2016-06-04 05:04:00          14
-#> 1938             25   A69-1303-555  3065 2016-06-04 05:08:00          14
-#> 1939             25   A69-1303-555  3066 2016-06-04 05:16:00          14
-#> 1940             25   A69-1303-555  3068 2016-06-04 07:00:00          14
-#> 1941             25   A69-1303-555  3069 2016-06-04 07:04:00          14
-#> 1942             25   A69-1303-555  3071 2016-06-04 07:06:00          14
-#> 1943             25   A69-1303-555  3072 2016-06-04 07:10:00          14
-#> 1944             25   A69-1303-555  3075 2016-06-04 07:12:00          14
-#> 1945             25   A69-1303-555  3076 2016-06-04 07:14:00          14
-#> 1946             25   A69-1303-555  3078 2016-06-04 07:18:00          14
-#> 1947             25   A69-1303-555  3079 2016-06-04 10:26:00          14
-#> 1948             25   A69-1303-555  3080 2016-06-04 10:34:00          14
-#> 1949             25   A69-1303-555  3081 2016-06-04 10:40:00          14
-#> 1950             25   A69-1303-555  3082 2016-06-04 11:08:00          14
-#> 1951             25   A69-1303-555  3083 2016-06-04 11:10:00          14
-#> 1952             25   A69-1303-555  3084 2016-06-04 11:24:00          14
-#> 1953             25   A69-1303-555  3085 2016-06-04 11:38:00          14
-#> 1954             25   A69-1303-555  3086 2016-06-04 12:02:00          14
-#> 1955             25   A69-1303-555  3087 2016-06-04 18:46:00          14
-#> 1956             25   A69-1303-555  3088 2016-06-04 18:48:00          14
-#> 1957             25   A69-1303-555  3089 2016-06-04 19:14:00          14
-#> 1958             25   A69-1303-555  3090 2016-06-04 19:16:00          14
-#> 1959             25   A69-1303-555  3091 2016-06-07 09:50:00          14
-#> 1960             25   A69-1303-555  3092 2016-06-07 09:58:00          14
-#> 1961             25   A69-1303-555  3093 2016-06-07 10:08:00          14
-#> 1962             25   A69-1303-555  3094 2016-06-07 10:10:00          14
-#> 1963             25   A69-1303-555  3095 2016-06-07 10:14:00          14
-#> 1964             25   A69-1303-555  3096 2016-06-07 10:56:00          14
-#> 1965             25   A69-1303-555  3097 2016-06-07 10:58:00          14
-#> 1966             25   A69-1303-555  3098 2016-06-07 11:10:00          14
-#> 1967             25   A69-1303-555  3100 2016-06-07 11:14:00          14
-#> 1968             25   A69-1303-555  3103 2016-06-07 11:16:00          14
-#> 1969             25   A69-1303-555  3104 2016-06-07 11:22:00          14
-#> 1970             25   A69-1303-555  3105 2016-06-07 11:26:00          14
-#> 1971             25   A69-1303-555  3106 2016-06-07 11:28:00          14
-#> 1972             25   A69-1303-555  3108 2016-06-07 11:30:00          14
-#> 1973             25   A69-1303-555  3109 2016-06-07 11:32:00          14
-#> 1974             25   A69-1303-555  3111 2016-06-07 11:34:00          14
-#> 1975             25   A69-1303-555  3112 2016-06-07 11:36:00          14
-#> 1976             25   A69-1303-555  3113 2016-06-07 11:42:00          14
-#> 1977             25   A69-1303-555  3114 2016-06-07 11:44:00          14
-#> 1978             25   A69-1303-555  3115 2016-06-07 11:48:00          14
-#> 1979             25   A69-1303-555  3116 2016-06-07 11:52:00          14
-#> 1980             25   A69-1303-555  3117 2016-06-07 11:54:00          14
-#> 1981             25   A69-1303-555  3118 2016-06-07 12:04:00          14
-#> 1982             25   A69-1303-555  3119 2016-06-07 12:06:00          14
-#> 1983             25   A69-1303-555  3121 2016-06-07 12:14:00          14
-#> 1984             25   A69-1303-555  3122 2016-06-07 12:16:00          14
-#> 1985             25   A69-1303-555  3124 2016-06-07 12:18:00          14
-#> 1986             25   A69-1303-555  3125 2016-06-07 12:20:00          14
-#> 1987             25   A69-1303-555  3126 2016-06-07 12:24:00          14
-#> 1988             25   A69-1303-555  3127 2016-06-07 12:32:00          14
-#> 1989             25   A69-1303-555  3128 2016-06-07 12:36:00          14
-#> 1990             25   A69-1303-555  3130 2016-06-07 12:38:00          14
-#> 1991             25   A69-1303-555  3132 2016-06-07 12:40:00          14
-#> 1992             25   A69-1303-555  3133 2016-06-07 12:42:00          14
-#> 1993             25   A69-1303-555  3135 2016-06-07 12:46:00          14
-#> 1994             25   A69-1303-555  3136 2016-06-07 12:48:00          14
-#> 1995             25   A69-1303-555  3138 2016-06-07 12:50:00          14
-#> 1996             25   A69-1303-555  3140 2016-06-07 12:52:00          14
-#> 1997             25   A69-1303-555  3142 2016-06-07 12:54:00          14
-#> 1998             25   A69-1303-555  3144 2016-06-07 12:56:00          14
-#> 1999             25   A69-1303-555  3146 2016-06-07 12:58:00          14
-#> 2000             25   A69-1303-555  3149 2016-06-07 13:00:00          14
-#> 2001             25   A69-1303-555  3151 2016-06-07 13:02:00          14
-#> 2002             25   A69-1303-555  3153 2016-06-07 13:04:00          14
-#> 2003             25   A69-1303-555  3154 2016-06-07 13:06:00          14
-#> 2004             25   A69-1303-555  3156 2016-06-07 13:08:00          14
-#> 2005             25   A69-1303-555  3158 2016-06-07 13:10:00          14
-#> 2006             25   A69-1303-555  3159 2016-06-07 13:12:00          14
-#> 2007             25   A69-1303-555  3160 2016-06-07 13:14:00          14
-#> 2008             25   A69-1303-555  3162 2016-06-07 13:16:00          14
-#> 2009             25   A69-1303-555  3163 2016-06-07 13:28:00          14
-#> 2010             25   A69-1303-555  3164 2016-06-07 13:32:00          14
-#> 2011             25   A69-1303-555  3165 2016-06-07 13:40:00          14
-#> 2012             25   A69-1303-555  3167 2016-06-07 13:42:00          14
-#> 2013             25   A69-1303-555  3168 2016-06-07 13:44:00          14
-#> 2014             25   A69-1303-555  3169 2016-06-07 13:48:00          14
-#> 2015             25   A69-1303-555  3170 2016-06-07 13:50:00          14
-#> 2016             25   A69-1303-555  3171 2016-06-07 14:00:00          14
-#> 2017             25   A69-1303-555  3172 2016-06-07 14:02:00          14
-#> 2018             25   A69-1303-555  3173 2016-06-07 14:04:00          14
-#> 2019             25   A69-1303-555  3175 2016-06-07 14:06:00          14
-#> 2020             25   A69-1303-555  3177 2016-06-07 14:08:00          14
-#> 2021             25   A69-1303-555  3179 2016-06-07 14:10:00          14
-#> 2022             25   A69-1303-555  3180 2016-06-07 14:12:00          14
-#> 2023             25   A69-1303-555  3182 2016-06-07 14:14:00          14
-#> 2024             25   A69-1303-555  3184 2016-06-07 14:16:00          14
-#> 2025             25   A69-1303-555  3185 2016-06-07 14:18:00          14
-#> 2026             25   A69-1303-555  3187 2016-06-07 14:20:00          14
-#> 2027             25   A69-1303-555  3189 2016-06-07 14:22:00          14
-#> 2028             25   A69-1303-555  3191 2016-06-07 14:24:00          14
-#> 2029             25   A69-1303-555  3193 2016-06-07 14:26:00          14
-#> 2030             25   A69-1303-555  3195 2016-06-07 14:28:00          14
-#> 2031             25   A69-1303-555  3197 2016-06-07 14:30:00          14
-#> 2032             25   A69-1303-555  3198 2016-06-07 14:32:00          14
-#> 2033             25   A69-1303-555  3199 2016-06-07 14:36:00          14
-#> 2034             25   A69-1303-555  3201 2016-06-07 14:38:00          14
-#> 2035             25   A69-1303-555  3203 2016-06-07 14:40:00          14
-#> 2036             25   A69-1303-555  3205 2016-06-07 14:42:00          14
-#> 2037             25   A69-1303-555  3207 2016-06-07 14:44:00          14
-#> 2038             25   A69-1303-555  3209 2016-06-07 14:46:00          14
-#> 2039             25   A69-1303-555  3211 2016-06-07 14:48:00          14
-#> 2040             25   A69-1303-555  3212 2016-06-07 14:50:00          14
-#> 2041             25   A69-1303-555  3213 2016-06-07 14:52:00          14
-#> 2042             25   A69-1303-555  3214 2016-06-07 14:54:00          14
-#> 2043             25   A69-1303-555  3216 2016-06-07 14:56:00          14
-#> 2044             25   A69-1303-555  3218 2016-06-07 14:58:00          14
-#> 2045             25   A69-1303-555  3219 2016-06-07 15:00:00          14
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-#> 2048             25   A69-1303-555  3225 2016-06-07 15:06:00          14
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-#> 2051             25   A69-1303-555  3229 2016-06-07 15:54:00          14
-#> 2052             25   A69-1303-555  3230 2016-06-07 18:54:00          14
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-#> 2054             25   A69-1303-555  3233 2016-06-07 18:58:00          14
-#> 2055             25   A69-1303-555  3235 2016-06-07 19:00:00          14
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-#> 2060             25   A69-1303-555  3243 2016-06-07 19:10:00          14
-#> 2061             25   A69-1303-555  3245 2016-06-07 19:12:00          14
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-#> 2063             25   A69-1303-555  3248 2016-06-07 19:16:00          14
-#> 2064             25   A69-1303-555  3249 2016-06-07 19:18:00          14
-#> 2065             25   A69-1303-555  3250 2016-06-07 19:20:00          14
-#> 2066             25   A69-1303-555  3251 2016-06-07 19:24:00          14
-#> 2067             25   A69-1303-555  3253 2016-06-07 19:26:00          14
-#> 2068             25   A69-1303-555  3254 2016-06-07 19:28:00          14
-#> 2069             25   A69-1303-555  3255 2016-06-07 19:30:00          14
-#> 2070             25   A69-1303-555  3256 2016-06-07 19:32:00          14
-#> 2071             25   A69-1303-555  3258 2016-06-07 19:34:00          14
-#> 2072             25   A69-1303-555  3259 2016-06-07 19:36:00          14
-#> 2073             25   A69-1303-555  3261 2016-06-07 19:38:00          14
-#> 2074             25   A69-1303-555  3263 2016-06-07 19:40:00          14
-#> 2075             25   A69-1303-555  3264 2016-06-07 19:42:00          14
-#> 2076             25   A69-1303-555  3266 2016-06-07 19:44:00          14
-#> 2077             25   A69-1303-555  3267 2016-06-07 19:46:00          14
-#> 2078             25   A69-1303-555  3269 2016-06-07 19:48:00          14
-#> 2079             25   A69-1303-555  3271 2016-06-07 20:06:00          14
-#> 2080             25   A69-1303-555  3272 2016-06-07 20:10:00          14
-#> 2081             25   A69-1303-555  3273 2016-06-07 20:12:00          14
-#> 2082             25   A69-1303-555  3274 2016-06-07 20:14:00          14
-#> 2083             25   A69-1303-555  3276 2016-06-07 20:18:00          14
-#> 2084             25   A69-1303-555  3278 2016-06-07 20:20:00          14
-#> 2085             25   A69-1303-555  3280 2016-06-07 20:22:00          14
-#> 2086             25   A69-1303-555  3281 2016-06-07 20:26:00          14
-#> 2087             25   A69-1303-555  3282 2016-06-07 20:28:00          14
-#> 2088             25   A69-1303-555  3283 2016-06-07 20:34:00          14
-#> 2089             25   A69-1303-555  3285 2016-06-07 20:38:00          14
-#> 2090             25   A69-1303-555  3286 2016-06-07 20:44:00          14
-#> 2091             25   A69-1303-555  3287 2016-06-07 20:48:00          14
-#> 2092             25   A69-1303-555  3288 2016-06-07 20:52:00          14
-#> 2093             25   A69-1303-555  3289 2016-06-07 20:56:00          14
-#> 2094             25   A69-1303-555  3290 2016-06-07 20:58:00          14
-#> 2095             25   A69-1303-555  3292 2016-06-07 21:00:00          14
-#> 2096             25   A69-1303-555  3293 2016-06-07 21:02:00          14
-#> 2097             25   A69-1303-555  3294 2016-06-07 21:06:00          14
-#> 2098             25   A69-1303-555  3295 2016-06-07 21:08:00          14
-#> 2099             25   A69-1303-555  3296 2016-06-07 21:10:00          14
-#> 2100             25   A69-1303-555  3298 2016-06-07 21:12:00          14
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-#> 10853            25   A69-1303-555 16608 2017-04-21 22:32:00          45
-#> 10854            25   A69-1303-555 16609 2017-04-21 22:34:00          45
-#> 10855            25   A69-1303-555 16611 2017-04-21 22:36:00          45
-#> 10856            25   A69-1303-555 16613 2017-04-21 22:38:00          45
-#> 10857            25   A69-1303-555 16615 2017-04-21 22:40:00          45
-#> 10858            25   A69-1303-555 16617 2017-04-21 22:42:00          45
-#> 10859            25   A69-1303-555 16619 2017-04-21 22:44:00          45
-#> 10860            25   A69-1303-555 16621 2017-04-21 22:46:00          45
-#> 10861            25   A69-1303-555 16622 2017-04-21 22:46:00          56
-#> 10862            25   A69-1303-555 16623 2017-04-21 22:48:00          45
-#> 10863            25   A69-1303-555 16624 2017-04-21 22:48:00          56
-#> 10864            25   A69-1303-555 16626 2017-04-21 22:50:00          45
-#> 10865            25   A69-1303-555 16628 2017-04-21 22:52:00          45
-#> 10866            25   A69-1303-555 16630 2017-04-21 22:54:00          45
-#> 10867            25   A69-1303-555 16632 2017-04-21 22:58:00          45
-#> 10868            25   A69-1303-555 16633 2017-04-22 00:48:00          45
-#> 10869            25   A69-1303-555 16634 2017-04-22 00:52:00          45
-#> 10870            25   A69-1303-555 16635 2017-04-22 00:56:00          45
-#> 10871            25   A69-1303-555 16638 2017-04-22 00:58:00          45
-#> 10872            25   A69-1303-555 16640 2017-04-22 01:00:00          45
-#> 10873            25   A69-1303-555 16642 2017-04-22 01:02:00          45
-#> 10874            25   A69-1303-555 16643 2017-04-22 01:04:00          45
-#> 10875            25   A69-1303-555 16645 2017-04-22 01:06:00          45
-#> 10876            25   A69-1303-555 16646 2017-04-22 01:08:00          45
-#> 10877            25   A69-1303-555 16648 2017-04-22 01:10:00          56
-#> 10878            25   A69-1303-555 16649 2017-04-22 01:10:00          45
-#> 10879            25   A69-1303-555 16650 2017-04-22 01:12:00          56
-#> 10880            25   A69-1303-555 16651 2017-04-22 01:12:00          45
-#> 10881            25   A69-1303-555 16652 2017-04-22 01:14:00          45
-#> 10882            25   A69-1303-555 16653 2017-04-22 01:16:00          45
-#> 10883            25   A69-1303-555 16655 2017-04-22 01:18:00          56
-#> 10884            25   A69-1303-555 16656 2017-04-22 01:18:00          45
-#> 10885            25   A69-1303-555 16658 2017-04-22 01:20:00          45
-#> 10886            25   A69-1303-555 16659 2017-04-22 01:20:00          56
-#> 10887            25   A69-1303-555 16660 2017-04-22 01:22:00          56
-#> 10888            25   A69-1303-555 16661 2017-04-22 01:22:00          45
-#> 10889            25   A69-1303-555 16662 2017-04-22 01:24:00          45
-#> 10890            25   A69-1303-555 16665 2017-04-22 01:26:00          45
-#> 10891            25   A69-1303-555 16666 2017-04-22 01:28:00          45
-#> 10892            25   A69-1303-555 16668 2017-04-22 01:30:00          45
-#> 10893            25   A69-1303-555 16669 2017-04-22 01:32:00          45
-#> 10894            25   A69-1303-555 16671 2017-04-22 01:34:00          45
-#> 10895            25   A69-1303-555 16673 2017-04-22 01:36:00          45
-#> 10896            25   A69-1303-555 16674 2017-04-22 01:38:00          45
-#> 10897            25   A69-1303-555 16675 2017-04-22 01:40:00          45
-#> 10898            25   A69-1303-555 16677 2017-04-22 01:42:00          45
-#> 10899            25   A69-1303-555 16678 2017-04-22 01:44:00          45
-#> 10900            25   A69-1303-555 16680 2017-04-22 01:46:00          45
-#> 10901            25   A69-1303-555 16681 2017-04-22 01:46:00          57
-#> 10902            25   A69-1303-555 16682 2017-04-22 01:48:00          57
-#> 10903            25   A69-1303-555 16684 2017-04-22 01:52:00          57
-#> 10904            25   A69-1303-555 16686 2017-04-22 01:52:00          43
-#> 10905            25   A69-1303-555 16687 2017-04-22 01:54:00          57
-#> 10906            25   A69-1303-555 16688 2017-04-22 01:54:00          43
-#> 10907            25   A69-1303-555 16692 2017-04-22 01:56:00          57
-#> 10908            25   A69-1303-555 16693 2017-04-22 01:56:00          43
-#> 10909            25   A69-1303-555 16697 2017-04-22 01:58:00          57
-#> 10910            25   A69-1303-555 16699 2017-04-22 02:00:00          57
-#> 10911            25   A69-1303-555 16700 2017-04-22 02:02:00          57
-#> 10912            25   A69-1303-555 16702 2017-04-22 02:04:00          57
-#> 10913            25   A69-1303-555 16703 2017-04-22 02:06:00          57
-#> 10914            25   A69-1303-555 16704 2017-04-22 02:06:00          43
-#> 10915            25   A69-1303-555 16706 2017-04-22 02:08:00          57
-#> 10916            25   A69-1303-555 16708 2017-04-22 02:08:00          43
-#> 10917            25   A69-1303-555 16709 2017-04-22 02:10:00          57
-#> 10918            25   A69-1303-555 16710 2017-04-22 02:10:00          43
-#> 10919            25   A69-1303-555 16711 2017-04-22 02:12:00          43
-#> 10920            25   A69-1303-555 16712 2017-04-22 02:14:00          43
-#> 10921            25   A69-1303-555 16713 2017-04-22 02:56:00          48
-#> 10922            25   A69-1303-555 16714 2017-04-22 03:12:00          48
-#> 10923            25   A69-1303-555 16715 2017-04-22 03:14:00          48
-#> 10924            25   A69-1303-555 16716 2017-04-22 03:16:00          48
-#> 10925            25   A69-1303-555 16718 2017-04-22 03:18:00          48
-#> 10926            25   A69-1303-555 16720 2017-04-22 03:20:00          48
-#> 10927            25   A69-1303-555 16721 2017-04-22 03:22:00          48
-#> 10928            25   A69-1303-555 16722 2017-04-22 03:24:00          48
-#> 10929            25   A69-1303-555 16724 2017-04-22 03:26:00          48
-#> 10930            25   A69-1303-555 16726 2017-04-22 03:28:00          48
-#> 10931            25   A69-1303-555 16727 2017-04-22 03:30:00          48
-#> 10932            25   A69-1303-555 16729 2017-04-22 03:32:00          48
-#> 10933            25   A69-1303-555 16730 2017-04-22 03:34:00          48
-#> 10934            25   A69-1303-555 16731 2017-04-22 03:36:00          48
-#> 10935            25   A69-1303-555 16732 2017-04-22 03:38:00          48
-#> 10936            25   A69-1303-555 16733 2017-04-22 03:58:00          49
-#> 10937            25   A69-1303-555 16734 2017-04-22 04:00:00          49
-#> 10938            25   A69-1303-555 16736 2017-04-22 04:02:00          49
-#> 10939            25   A69-1303-555 16738 2017-04-22 04:04:00          49
-#> 10940            25   A69-1303-555 16739 2017-04-22 04:06:00          49
-#> 10941            25   A69-1303-555 16740 2017-04-22 04:08:00          49
-#> 10942            25   A69-1303-555 16742 2017-04-22 04:12:00          49
-#> 10943            25   A69-1303-555 16744 2017-04-22 04:18:00          49
-#> 10944            25   A69-1303-555 16745 2017-04-22 04:20:00          49
-#> 10945            25   A69-1303-555 16746 2017-04-22 04:22:00          49
-#> 10946            25   A69-1303-555 16747 2017-04-22 04:26:00          49
-#> 10947            25   A69-1303-555 16748 2017-04-22 04:28:00          49
-#> 10948            25   A69-1303-555 16749 2017-04-22 04:30:00          49
-#> 10949            25   A69-1303-555 16751 2017-04-22 04:32:00          49
-#> 10950            25   A69-1303-555 16753 2017-04-22 04:34:00          49
-#> 10951            25   A69-1303-555 16754 2017-04-22 04:40:00          49
-#> 10952            25   A69-1303-555 16755 2017-04-22 04:42:00          49
-#> 10953            25   A69-1303-555 16756 2017-04-23 03:44:00          51
-#> 10954            25   A69-1303-555 16757 2017-04-23 03:54:00          51
-#> 10955            25   A69-1303-555 16758 2017-04-23 03:56:00          51
-#> 10956            25   A69-1303-555 16759 2017-04-23 03:58:00          51
-#> 10957            25   A69-1303-555 16761 2017-04-23 04:02:00          51
-#> 10958            25   A69-1303-555 16762 2017-04-23 04:04:00          51
-#> 10959            25   A69-1303-555 16763 2017-04-23 04:10:00          51
-#> 10960            25   A69-1303-555 16764 2017-04-23 04:14:00          51
-#> 10961            25   A69-1303-555 16766 2017-04-23 04:16:00          51
-#> 10962            25   A69-1303-555 16767 2017-04-23 04:18:00          51
-#> 10963            25   A69-1303-555 16769 2017-04-23 04:20:00          51
-#> 10964            25   A69-1303-555 16771 2017-04-23 04:22:00          51
-#> 10965            25   A69-1303-555 16772 2017-04-23 04:26:00          51
-#> 10966            25   A69-1303-555 16774 2017-04-23 04:28:00          51
-#> 10967            25   A69-1303-555 16776 2017-04-23 04:30:00          51
-#> 10968            25   A69-1303-555 16777 2017-04-23 04:32:00          51
-#> 10969            25   A69-1303-555 16779 2017-04-23 04:34:00          51
-#> 10970            25   A69-1303-555 16780 2017-04-23 04:36:00          51
-#> 10971            25   A69-1303-555 16781 2017-04-23 04:38:00          51
-#> 10972            25   A69-1303-555 16782 2017-04-23 04:48:00          51
-#> 10973            25   A69-1303-555 16783 2017-04-23 11:32:00          51
-#> 10974            25   A69-1303-555 16784 2017-04-23 11:34:00          51
-#> 10975            25   A69-1303-555 16785 2017-04-23 13:24:00          51
-#> 10976            25   A69-1303-555 16786 2017-04-23 13:38:00          51
-#> 10977            25   A69-1303-555 16787 2017-04-23 14:18:00          51
-#> 10978            25   A69-1303-555 16788 2017-04-23 14:22:00          51
-#> 10979            25   A69-1303-555 16789 2017-04-23 14:28:00          51
-#> 10980            25   A69-1303-555 16790 2017-04-23 14:36:00          51
-#> 10981            25   A69-1303-555 16791 2017-04-23 14:48:00          51
-#> 10982            25   A69-1303-555 16792 2017-04-23 14:52:00          51
-#> 10983            25   A69-1303-555 16793 2017-04-27 19:56:00          45
-#> 10984            25   A69-1303-555 16794 2017-04-27 19:58:00          45
-#> 10985            25   A69-1303-555 16796 2017-04-27 20:00:00          45
-#> 10986            25   A69-1303-555 16798 2017-04-27 20:02:00          45
-#> 10987            25   A69-1303-555 16799 2017-04-27 20:04:00          45
-#> 10988            25   A69-1303-555 16801 2017-04-27 20:06:00          45
-#> 10989            25   A69-1303-555 16803 2017-04-27 20:08:00          45
-#> 10990            25   A69-1303-555 16804 2017-04-27 20:10:00          45
-#> 10991            25   A69-1303-555 16806 2017-04-27 20:12:00          45
-#> 10992            25   A69-1303-555 16807 2017-04-27 20:14:00          45
-#> 10993            25   A69-1303-555 16808 2017-04-27 20:16:00          45
-#> 10994            25   A69-1303-555 16810 2017-04-27 20:18:00          45
-#> 10995            25   A69-1303-555 16811 2017-04-27 20:20:00          56
-#> 10996            25   A69-1303-555 16812 2017-04-27 20:20:00          45
-#> 10997            25   A69-1303-555 16813 2017-04-27 20:22:00          45
-#> 10998            25   A69-1303-555 16815 2017-04-27 20:22:00          56
-#> 10999            25   A69-1303-555 16816 2017-04-27 20:24:00          45
-#> 11000            25   A69-1303-555 16818 2017-04-27 20:26:00          45
-#> 11001            25   A69-1303-555 16819 2017-04-27 20:28:00          45
-#> 11002            25   A69-1303-555 16821 2017-04-27 20:28:00          56
-#> 11003            25   A69-1303-555 16822 2017-04-27 20:30:00          45
-#> 11004            25   A69-1303-555 16823 2017-04-27 20:30:00          56
-#> 11005            25   A69-1303-555 16824 2017-04-27 20:32:00          45
-#> 11006            25   A69-1303-555 16825 2017-04-27 20:34:00          45
-#> 11007            25   A69-1303-555 16826 2017-04-27 20:40:00          45
-#> 11008            25   A69-1303-555 16828 2017-04-27 20:44:00          45
-#> 11009            25   A69-1303-555 16829 2017-04-27 20:48:00          45
-#> 11010            25   A69-1303-555 16830 2017-04-27 20:50:00          45
-#> 11011            25   A69-1303-555 16832 2017-04-27 20:52:00          45
-#> 11012            25   A69-1303-555 16834 2017-04-27 20:54:00          45
-#> 11013            25   A69-1303-555 16836 2017-04-27 20:56:00          45
-#> 11014            25   A69-1303-555 16837 2017-04-27 20:58:00          45
-#> 11015            25   A69-1303-555 16839 2017-04-27 21:00:00          45
-#> 11016            25   A69-1303-555 16841 2017-04-27 21:02:00          45
-#> 11017            25   A69-1303-555 16842 2017-04-27 21:04:00          45
-#> 11018            25   A69-1303-555 16844 2017-04-27 21:06:00          45
-#> 11019            25   A69-1303-555 16846 2017-04-27 21:08:00          45
-#> 11020            25   A69-1303-555 16848 2017-04-27 21:10:00          45
-#> 11021            25   A69-1303-555 16849 2017-04-27 21:12:00          45
-#> 11022            25   A69-1303-555 16851 2017-04-27 21:14:00          45
-#> 11023            25   A69-1303-555 16854 2017-04-27 21:16:00          45
-#> 11024            25   A69-1303-555 16855 2017-04-27 21:18:00          45
-#> 11025            25   A69-1303-555 16857 2017-04-27 21:20:00          45
-#> 11026            25   A69-1303-555 16859 2017-04-27 21:22:00          45
-#> 11027            25   A69-1303-555 16860 2017-04-27 21:24:00          45
-#> 11028            25   A69-1303-555 16863 2017-04-27 21:26:00          45
-#> 11029            25   A69-1303-555 16865 2017-04-27 21:28:00          45
-#> 11030            25   A69-1303-555 16867 2017-04-27 21:30:00          45
-#> 11031            25   A69-1303-555 16868 2017-04-27 21:32:00          45
-#> 11032            25   A69-1303-555 16871 2017-04-27 21:38:00          45
-#> 11033            25   A69-1303-555 16873 2017-04-27 21:40:00          45
-#> 11034            25   A69-1303-555 16874 2017-04-27 21:42:00          45
-#> 11035            25   A69-1303-555 16876 2017-04-27 21:46:00          45
-#> 11036            25   A69-1303-555 16877 2017-04-27 21:50:00          45
-#> 11037            25   A69-1303-555 16878 2017-04-27 21:52:00          45
-#> 11038            25   A69-1303-555 16879 2017-04-27 21:54:00          45
-#> 11039            25   A69-1303-555 16881 2017-04-27 21:58:00          45
-#> 11040            25   A69-1303-555 16882 2017-04-27 22:00:00          45
-#> 11041            25   A69-1303-555 16884 2017-04-27 22:04:00          45
-#> 11042            25   A69-1303-555 16887 2017-04-27 22:06:00          45
-#> 11043            25   A69-1303-555 16889 2017-04-27 22:08:00          45
-#> 11044            25   A69-1303-555 16890 2017-04-27 22:10:00          45
-#> 11045            25   A69-1303-555 16891 2017-04-27 22:12:00          45
-#> 11046            25   A69-1303-555 16893 2017-04-27 22:14:00          45
-#> 11047            25   A69-1303-555 16895 2017-04-27 22:16:00          45
-#> 11048            25   A69-1303-555 16896 2017-04-27 22:18:00          45
-#> 11049            25   A69-1303-555 16899 2017-04-27 22:20:00          45
-#> 11050            25   A69-1303-555 16900 2017-04-27 22:22:00          45
-#> 11051            25   A69-1303-555 16901 2017-04-27 22:24:00          45
-#> 11052            25   A69-1303-555 16902 2017-04-27 22:26:00          45
-#> 11053            25   A69-1303-555 16904 2017-04-27 22:28:00          45
-#> 11054            25   A69-1303-555 16905 2017-04-27 22:30:00          45
-#> 11055            25   A69-1303-555 16907 2017-04-27 22:32:00          45
-#> 11056            25   A69-1303-555 16909 2017-04-27 22:34:00          45
-#> 11057            25   A69-1303-555 16910 2017-04-27 22:36:00          45
-#> 11058            25   A69-1303-555 16913 2017-04-27 22:38:00          45
-#> 11059            25   A69-1303-555 16915 2017-04-27 22:40:00          45
-#> 11060            25   A69-1303-555 16917 2017-04-27 22:42:00          45
-#> 11061            25   A69-1303-555 16919 2017-04-27 22:44:00          45
-#> 11062            25   A69-1303-555 16921 2017-04-27 22:46:00          45
-#> 11063            25   A69-1303-555 16922 2017-04-27 22:48:00          45
-#> 11064            25   A69-1303-555 16924 2017-04-27 22:50:00          45
-#> 11065            25   A69-1303-555 16926 2017-04-27 22:52:00          45
-#> 11066            25   A69-1303-555 16927 2017-04-27 22:54:00          45
-#> 11067            25   A69-1303-555 16929 2017-04-27 22:56:00          45
-#> 11068            25   A69-1303-555 16930 2017-04-27 22:58:00          45
-#> 11069            25   A69-1303-555 16932 2017-04-27 23:00:00          45
-#> 11070            25   A69-1303-555 16934 2017-04-27 23:02:00          45
-#> 11071            25   A69-1303-555 16937 2017-04-27 23:04:00          45
-#> 11072            25   A69-1303-555 16939 2017-04-27 23:06:00          45
-#> 11073            25   A69-1303-555 16941 2017-04-27 23:08:00          45
-#> 11074            25   A69-1303-555 16943 2017-04-27 23:10:00          45
-#> 11075            25   A69-1303-555 16944 2017-04-27 23:12:00          45
-#> 11076            25   A69-1303-555 16945 2017-04-27 23:14:00          45
-#> 11077            25   A69-1303-555 16948 2017-04-27 23:16:00          45
-#> 11078            25   A69-1303-555 16950 2017-04-27 23:18:00          45
-#> 11079            25   A69-1303-555 16951 2017-04-27 23:20:00          45
-#> 11080            25   A69-1303-555 16953 2017-04-27 23:22:00          45
-#> 11081            25   A69-1303-555 16954 2017-04-27 23:24:00          45
-#> 11082            25   A69-1303-555 16957 2017-04-27 23:26:00          45
-#> 11083            25   A69-1303-555 16958 2017-04-27 23:28:00          45
-#> 11084            25   A69-1303-555 16960 2017-04-27 23:30:00          45
-#> 11085            25   A69-1303-555 16962 2017-04-27 23:32:00          45
-#> 11086            25   A69-1303-555 16963 2017-04-27 23:34:00          45
-#> 11087            25   A69-1303-555 16965 2017-04-27 23:36:00          45
-#> 11088            25   A69-1303-555 16966 2017-04-27 23:38:00          45
-#> 11089            25   A69-1303-555 16968 2017-04-27 23:40:00          45
-#> 11090            25   A69-1303-555 16969 2017-04-27 23:42:00          45
-#> 11091            25   A69-1303-555 16970 2017-04-27 23:46:00          45
-#> 11092            25   A69-1303-555 16971 2017-04-27 23:48:00          56
-#> 11093            25   A69-1303-555 16972 2017-04-27 23:50:00          45
-#> 11094            25   A69-1303-555 16974 2017-04-27 23:52:00          45
-#> 11095            25   A69-1303-555 16976 2017-04-27 23:54:00          45
-#> 11096            25   A69-1303-555 16977 2017-04-27 23:54:00          56
-#> 11097            25   A69-1303-555 16978 2017-04-27 23:56:00          45
-#> 11098            25   A69-1303-555 16979 2017-04-27 23:58:00          45
-#> 11099            25   A69-1303-555 16981 2017-04-28 00:00:00          56
-#> 11100            25   A69-1303-555 16983 2017-04-28 00:02:00          56
-#> 11101            25   A69-1303-555 16984 2017-04-28 00:04:00          45
-#> 11102            25   A69-1303-555 16985 2017-04-28 00:06:00          56
-#> 11103            25   A69-1303-555 16986 2017-04-28 00:08:00          56
-#> 11104            25   A69-1303-555 16987 2017-04-28 00:10:00          45
-#> 11105            25   A69-1303-555 16988 2017-04-28 00:10:00          56
-#> 11106            25   A69-1303-555 16989 2017-04-28 00:12:00          56
-#> 11107            25   A69-1303-555 16990 2017-04-28 00:12:00          45
-#> 11108            25   A69-1303-555 16991 2017-04-28 00:14:00          45
-#> 11109            25   A69-1303-555 16992 2017-04-28 00:16:00          45
-#> 11110            25   A69-1303-555 16993 2017-04-28 00:16:00          56
-#> 11111            25   A69-1303-555 16995 2017-04-28 00:18:00          45
-#>           receiver receiver_long receiver_lat receiver_depth
-#> 1      VR2W-108163     -5.610733     56.37628             25
-#> 2      VR2W-108163     -5.610733     56.37628             25
-#> 3      VR2W-108163     -5.610733     56.37628             25
-#> 4      VR2W-108163     -5.610733     56.37628             25
-#> 5      VR2W-108163     -5.610733     56.37628             25
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-#> 613    VR2W-120722     -5.602283     56.37748             25
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-#> 615    VR2W-120722     -5.602283     56.37748             25
-#> 616    VR2W-120722     -5.602283     56.37748             25
-#> 617    VR2W-120722     -5.602283     56.37748             25
-#> 618    VR2W-108163     -5.610733     56.37628             25
-#> 619    VR2W-108163     -5.610733     56.37628             25
-#> 620    VR2W-108163     -5.610733     56.37628             25
-#> 621    VR2W-108163     -5.610733     56.37628             25
-#> 622    VR2W-108163     -5.610733     56.37628             25
-#> 623    VR2W-108163     -5.610733     56.37628             25
-#> 624    VR2W-108163     -5.610733     56.37628             25
-#> 625    VR2W-108163     -5.610733     56.37628             25
-#> 626    VR2W-108163     -5.610733     56.37628             25
-#> 627    VR2W-108163     -5.610733     56.37628             25
-#> 628    VR2W-108163     -5.610733     56.37628             25
-#> 629    VR2W-108163     -5.610733     56.37628             25
-#> 630    VR2W-108163     -5.610733     56.37628             25
-#> 631    VR2W-108163     -5.610733     56.37628             25
-#> 632    VR2W-108163     -5.610733     56.37628             25
-#> 633    VR2W-108163     -5.610733     56.37628             25
-#> 634    VR2W-108163     -5.610733     56.37628             25
-#> 635    VR2W-108163     -5.610733     56.37628             25
-#> 636    VR2W-108163     -5.610733     56.37628             25
-#> 637    VR2W-108163     -5.610733     56.37628             25
-#> 638    VR2W-108163     -5.610733     56.37628             25
-#> 639    VR2W-120722     -5.602283     56.37748             25
-#> 640    VR2W-108163     -5.610733     56.37628             25
-#> 641    VR2W-120722     -5.602283     56.37748             25
-#> 642    VR2W-108163     -5.610733     56.37628             25
-#> 643    VR2W-108163     -5.610733     56.37628             25
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-#> 647    VR2W-108163     -5.610733     56.37628             25
-#> 648    VR2W-108163     -5.610733     56.37628             25
-#> 649    VR2W-108163     -5.610733     56.37628             25
-#> 650    VR2W-120722     -5.602283     56.37748             25
-#> 651    VR2W-120722     -5.602283     56.37748             25
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-#> 653    VR2W-120722     -5.602283     56.37748             25
-#> 654    VR2W-120722     -5.602283     56.37748             25
-#> 655    VR2W-120722     -5.602283     56.37748             25
-#> 656    VR2W-120722     -5.602283     56.37748             25
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-#> 658    VR2W-120722     -5.602283     56.37748             25
-#> 659    VR2W-120722     -5.602283     56.37748             25
-#> 660    VR2W-120722     -5.602283     56.37748             25
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-#> 667    VR2W-108163     -5.610733     56.37628             25
-#> 668    VR2W-108163     -5.610733     56.37628             25
-#> 669    VR2W-108163     -5.610733     56.37628             25
-#> 670    VR2W-108163     -5.610733     56.37628             25
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-#> 673    VR2W-108163     -5.610733     56.37628             25
-#> 674    VR2W-108163     -5.610733     56.37628             25
-#> 675    VR2W-108163     -5.610733     56.37628             25
-#> 676    VR2W-108163     -5.610733     56.37628             25
-#> 677    VR2W-108163     -5.610733     56.37628             25
-#> 678    VR2W-108163     -5.610733     56.37628             25
-#> 679    VR2W-108163     -5.610733     56.37628             25
-#> 680    VR2W-108163     -5.610733     56.37628             25
-#> 681    VR2W-107823     -5.691883     56.49690             25
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-#> 699    VR2W-107823     -5.691883     56.49690             25
-#> 700    VR2W-107823     -5.691883     56.49690             25
-#> 701    VR2W-107823     -5.691883     56.49690             25
-#> 702    VR2W-107823     -5.691883     56.49690             25
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-#> 704    VR2W-107823     -5.691883     56.49690             25
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-#> 706    VR2W-107823     -5.691883     56.49690             25
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-#> 710    VR2W-107823     -5.691883     56.49690             25
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-#> 713    VR2W-107823     -5.691883     56.49690             25
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-#> 800    VR2W-107823     -5.691883     56.49690             25
-#> 801    VR2W-107823     -5.691883     56.49690             25
-#> 802    VR2W-107823     -5.691883     56.49690             25
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-#> 2359   VR2W-107823     -5.691883     56.49690             25
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-#> 2480   VR2W-113141     -5.755900     56.51000             50
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-#> 2668   VR2W-107823     -5.691883     56.49690             25
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-#> 3182  VR2AR-546136     -5.665000     56.48650            105
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-#> 3217   VR2W-107823     -5.691883     56.49690             25
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-#> 3228   VR2W-113141     -5.755900     56.51000             50
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-#> 3241   VR2W-108160     -5.704867     56.48890             25
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-#> 3265  VR2AR-546136     -5.665000     56.48650            105
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-#> 3291   VR2W-108160     -5.704867     56.48890             25
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-#> 3848  VR2AR-546136     -5.665000     56.48650            105
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-#> 3876   VR2W-108160     -5.704867     56.48890             25
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-#> 3918  VR2AR-546136     -5.665000     56.48650            105
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-#> 4009      VR2-6720     -5.627150     56.50808             50
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-#> 4011   VR2W-113898     -5.596367     56.51122             50
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-#> 4056  VR2AR-546136     -5.665000     56.48650            105
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-#> 4141      VR2-6720     -5.627150     56.50808             50
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-#> 4144  VR2AR-546136     -5.665000     56.48650            105
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-#> 4204   VR2W-108160     -5.704867     56.48890             25
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-#> 4219  VR2AR-546136     -5.665000     56.48650            105
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-#> 4293  VR2AR-546134     -5.628000     56.45650             40
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-#> 4315   VR2W-108160     -5.704867     56.48890             25
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-#> 4357      VR2-6720     -5.627150     56.50808             50
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-#> 4384  VR2AR-546134     -5.628000     56.45650             40
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-#> 4405  VR2AR-546136     -5.665000     56.48650            105
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-#> 4414   VR2W-108160     -5.704867     56.48890             25
-#> 4415   VR2W-108160     -5.704867     56.48890             25
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-#> 4421   VR2W-108160     -5.704867     56.48890             25
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-#> 4430   VR2W-108160     -5.704867     56.48890             25
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-#> 4438  VR2AR-546136     -5.665000     56.48650            105
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-#> 4474      VR2-6720     -5.627150     56.50808             50
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-#> 4479  VR2AR-546134     -5.628000     56.45650             40
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-#> 4493      VR2-6720     -5.627150     56.50808             50
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-#> 4562  VR2AR-546134     -5.628000     56.45650             40
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-#> 4737   VR2W-113141     -5.755900     56.51000             50
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-#> 5092   VR2W-120722     -5.602283     56.37748             25
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-#> 5095   VR2W-113142     -5.634833     56.37502             50
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-#> 5105   VR2W-110825     -5.691617     56.35263             50
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-#> 5544   VR2W-108158     -5.619533     56.37413             25
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-#> 5546   VR2W-108158     -5.619533     56.37413             25
-#> 5547   VR2W-108158     -5.619533     56.37413             25
-#> 5548   VR2W-108158     -5.619533     56.37413             25
-#> 5549   VR2W-108158     -5.619533     56.37413             25
-#> 5550   VR2W-108158     -5.619533     56.37413             25
-#> 5551   VR2W-108158     -5.619533     56.37413             25
-#> 5552   VR2W-108158     -5.619533     56.37413             25
-#> 5553   VR2W-108158     -5.619533     56.37413             25
-#> 5554  VR2AR-546131     -5.612700     56.37988             35
-#> 5555  VR2AR-546131     -5.612700     56.37988             35
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-#> 5557  VR2AR-546131     -5.612700     56.37988             35
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-#> 5559  VR2AR-546131     -5.612700     56.37988             35
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-#> 5565  VR2AR-546131     -5.612700     56.37988             35
-#> 5566  VR2AR-546131     -5.612700     56.37988             35
-#> 5567  VR2AR-546131     -5.612700     56.37988             35
-#> 5568  VR2AR-546131     -5.612700     56.37988             35
-#> 5569  VR2AR-546131     -5.612700     56.37988             35
-#> 5570  VR2AR-546131     -5.612700     56.37988             35
-#> 5571  VR2AR-546131     -5.612700     56.37988             35
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-#> 5575  VR2AR-546131     -5.612700     56.37988             35
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-#> 5577  VR2AR-546131     -5.612700     56.37988             35
-#> 5578  VR2AR-546131     -5.612700     56.37988             35
-#> 5579  VR2AR-546131     -5.612700     56.37988             35
-#> 5580  VR2AR-546131     -5.612700     56.37988             35
-#> 5581  VR2AR-546131     -5.612700     56.37988             35
-#> 5582  VR2AR-546131     -5.612700     56.37988             35
-#> 5583  VR2AR-546131     -5.612700     56.37988             35
-#> 5584  VR2AR-546131     -5.612700     56.37988             35
-#> 5585  VR2AR-546131     -5.612700     56.37988             35
-#> 5586  VR2AR-546380     -5.637917     56.44800             25
-#> 5587  VR2AR-546380     -5.637917     56.44800             25
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-#> 5589   VR2W-108161     -5.605383     56.46018             25
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-#> 5599   VR2W-108161     -5.605383     56.46018             25
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-#> 5602   VR2W-108161     -5.605383     56.46018             25
-#> 5603  VR2AR-546380     -5.637917     56.44800             25
-#> 5604  VR2AR-546380     -5.637917     56.44800             25
-#> 5605  VR2AR-546380     -5.637917     56.44800             25
-#> 5606  VR2AR-546380     -5.637917     56.44800             25
-#> 5607  VR2AR-546380     -5.637917     56.44800             25
-#> 5608  VR2AR-546380     -5.637917     56.44800             25
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-#> 5610  VR2AR-546380     -5.637917     56.44800             25
-#> 5611  VR2AR-546380     -5.637917     56.44800             25
-#> 5612  VR2AR-546136     -5.626250     56.44810             75
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-#> 5615  VR2AR-546131     -5.612700     56.37988             35
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-#> 5625  VR2AR-546131     -5.612700     56.37988             35
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-#> 5627  VR2AR-546131     -5.612700     56.37988             35
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-#> 5638  VR2AR-546131     -5.612700     56.37988             35
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-#> 5640  VR2AR-546131     -5.612700     56.37988             35
-#> 5641  VR2AR-546131     -5.612700     56.37988             35
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-#> 5646  VR2AR-546136     -5.626250     56.44810             75
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-#> 5649   VR2W-108161     -5.605383     56.46018             25
-#> 5650   VR2W-108161     -5.605383     56.46018             25
-#> 5651  VR2AR-546136     -5.626250     56.44810             75
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-#> 5657  VR2AR-546380     -5.637917     56.44800             25
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-#> 5670  VR2AR-546131     -5.612700     56.37988             35
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-#> 5680  VR2AR-546131     -5.612700     56.37988             35
-#> 5681  VR2AR-546131     -5.612700     56.37988             35
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-#> 5693  VR2AR-546136     -5.626250     56.44810             75
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-#> 5705  VR2AR-546380     -5.637917     56.44800             25
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-#> 5731  VR2AR-546133     -5.701717     56.49747             90
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-#> 5742      VR2-5637     -5.692417     56.49913             25
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-#> 5784  VR2AR-546131     -5.612700     56.37988             35
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-#> 5888  VR2AR-546131     -5.612700     56.37988             35
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-#> 6052  VR2AR-546380     -5.637917     56.44800             25
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-#> 6136  VR2AR-546134     -5.643867     56.38278            145
-#> 6137  VR2AR-546134     -5.643867     56.38278            145
-#> 6138  VR2AR-546134     -5.643867     56.38278            145
-#> 6139  VR2AR-546134     -5.643867     56.38278            145
-#> 6140  VR2AR-546134     -5.643867     56.38278            145
-#> 6141  VR2AR-546134     -5.643867     56.38278            145
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-#> 6144  VR2AR-546134     -5.643867     56.38278            145
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-#> 6146  VR2AR-546134     -5.643867     56.38278            145
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-#> 6149  VR2AR-546134     -5.643867     56.38278            145
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-#> 6151  VR2AR-546136     -5.626250     56.44810             75
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-#> 6153      VR2-5637     -5.692417     56.49913             25
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-#> 6213  VR2AR-546380     -5.637917     56.44800             25
-#> 6214  VR2AR-546380     -5.637917     56.44800             25
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-#> 6222  VR2AR-546133     -5.701717     56.49747             90
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-#> 6434  VR2AR-546136     -5.626250     56.44810             75
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-#> 6436   VR2W-108161     -5.605383     56.46018             25
-#> 6437   VR2W-108161     -5.605383     56.46018             25
-#> 6438   VR2W-108161     -5.605383     56.46018             25
-#> 6439   VR2W-108161     -5.605383     56.46018             25
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-#> 6441   VR2W-108161     -5.605383     56.46018             25
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-#> 6450   VR2W-108161     -5.605383     56.46018             25
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-#> 6455  VR2AR-546131     -5.612700     56.37988             35
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-#> 6460  VR2AR-546131     -5.612700     56.37988             35
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-#> 6470  VR2AR-546131     -5.612700     56.37988             35
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-#> 6478  VR2AR-546131     -5.612700     56.37988             35
-#> 6479  VR2AR-546131     -5.612700     56.37988             35
-#> 6480  VR2AR-546131     -5.612700     56.37988             35
-#> 6481  VR2AR-546131     -5.612700     56.37988             35
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-#> 6491   VR2W-108158     -5.619533     56.37413             25
-#> 6492   VR2W-108158     -5.619533     56.37413             25
-#> 6493   VR2W-108158     -5.619533     56.37413             25
-#> 6494   VR2W-108158     -5.619533     56.37413             25
-#> 6495   VR2W-108158     -5.619533     56.37413             25
-#> 6496   VR2W-108158     -5.619533     56.37413             25
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-#> 6499   VR2W-108158     -5.619533     56.37413             25
-#> 6500   VR2W-108158     -5.619533     56.37413             25
-#> 6501   VR2W-108158     -5.619533     56.37413             25
-#> 6502   VR2W-108160     -5.631733     56.37447             50
-#> 6503   VR2W-108160     -5.631733     56.37447             50
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-#> 6551   VR2W-108160     -5.631733     56.37447             50
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-#> 6566  VR2AR-546131     -5.612700     56.37988             35
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-#> 6715  VR2AR-546131     -5.612700     56.37988             35
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-#> 6717  VR2AR-546131     -5.612700     56.37988             35
-#> 6718  VR2AR-546131     -5.612700     56.37988             35
-#> 6719  VR2AR-546131     -5.612700     56.37988             35
-#> 6720  VR2AR-546131     -5.612700     56.37988             35
-#> 6721  VR2AR-546131     -5.612700     56.37988             35
-#> 6722  VR2AR-546131     -5.612700     56.37988             35
-#> 6723  VR2AR-546131     -5.612700     56.37988             35
-#> 6724  VR2AR-546131     -5.612700     56.37988             35
-#> 6725  VR2AR-546131     -5.612700     56.37988             35
-#> 6726  VR2AR-546131     -5.612700     56.37988             35
-#> 6727  VR2AR-546131     -5.612700     56.37988             35
-#> 6728  VR2AR-546134     -5.643867     56.38278            145
-#> 6729  VR2AR-546134     -5.643867     56.38278            145
-#> 6730  VR2AR-546134     -5.643867     56.38278            145
-#> 6731  VR2AR-546134     -5.643867     56.38278            145
-#> 6732  VR2AR-546134     -5.643867     56.38278            145
-#> 6733  VR2AR-546134     -5.643867     56.38278            145
-#> 6734  VR2AR-546134     -5.643867     56.38278            145
-#> 6735  VR2AR-546134     -5.643867     56.38278            145
-#> 6736  VR2AR-546134     -5.643867     56.38278            145
-#> 6737  VR2AR-546134     -5.643867     56.38278            145
-#> 6738  VR2AR-546134     -5.643867     56.38278            145
-#> 6739  VR2AR-546134     -5.643867     56.38278            145
-#> 6740  VR2AR-546134     -5.643867     56.38278            145
-#> 6741  VR2AR-546134     -5.643867     56.38278            145
-#> 6742  VR2AR-546134     -5.643867     56.38278            145
-#> 6743  VR2AR-546134     -5.643867     56.38278            145
-#> 6744  VR2AR-546136     -5.626250     56.44810             75
-#> 6745  VR2AR-546136     -5.626250     56.44810             75
-#> 6746  VR2AR-546131     -5.612700     56.37988             35
-#> 6747  VR2AR-546131     -5.612700     56.37988             35
-#> 6748  VR2AR-546131     -5.612700     56.37988             35
-#> 6749  VR2AR-546131     -5.612700     56.37988             35
-#> 6750  VR2AR-546131     -5.612700     56.37988             35
-#> 6751  VR2AR-546131     -5.612700     56.37988             35
-#> 6752  VR2AR-546131     -5.612700     56.37988             35
-#> 6753  VR2AR-546131     -5.612700     56.37988             35
-#> 6754  VR2AR-546131     -5.612700     56.37988             35
-#> 6755  VR2AR-546131     -5.612700     56.37988             35
-#> 6756  VR2AR-546131     -5.612700     56.37988             35
-#> 6757  VR2AR-546131     -5.612700     56.37988             35
-#> 6758  VR2AR-546131     -5.612700     56.37988             35
-#> 6759  VR2AR-546131     -5.612700     56.37988             35
-#> 6760  VR2AR-546131     -5.612700     56.37988             35
-#> 6761  VR2AR-546131     -5.612700     56.37988             35
-#> 6762  VR2AR-546131     -5.612700     56.37988             35
-#> 6763  VR2AR-546131     -5.612700     56.37988             35
-#> 6764  VR2AR-546131     -5.612700     56.37988             35
-#> 6765  VR2AR-546131     -5.612700     56.37988             35
-#> 6766  VR2AR-546131     -5.612700     56.37988             35
-#> 6767  VR2AR-546131     -5.612700     56.37988             35
-#> 6768  VR2AR-546131     -5.612700     56.37988             35
-#> 6769  VR2AR-546131     -5.612700     56.37988             35
-#> 6770  VR2AR-546131     -5.612700     56.37988             35
-#> 6771  VR2AR-546131     -5.612700     56.37988             35
-#> 6772  VR2AR-546131     -5.612700     56.37988             35
-#> 6773  VR2AR-546131     -5.612700     56.37988             35
-#> 6774  VR2AR-546131     -5.612700     56.37988             35
-#> 6775  VR2AR-546131     -5.612700     56.37988             35
-#> 6776  VR2AR-546131     -5.612700     56.37988             35
-#> 6777  VR2AR-546131     -5.612700     56.37988             35
-#> 6778  VR2AR-546131     -5.612700     56.37988             35
-#> 6779  VR2AR-546131     -5.612700     56.37988             35
-#> 6780  VR2AR-546131     -5.612700     56.37988             35
-#> 6781  VR2AR-546131     -5.612700     56.37988             35
-#> 6782  VR2AR-546131     -5.612700     56.37988             35
-#> 6783  VR2AR-546131     -5.612700     56.37988             35
-#> 6784  VR2AR-546131     -5.612700     56.37988             35
-#> 6785  VR2AR-546131     -5.612700     56.37988             35
-#> 6786  VR2AR-546131     -5.612700     56.37988             35
-#> 6787  VR2AR-546131     -5.612700     56.37988             35
-#> 6788  VR2AR-546131     -5.612700     56.37988             35
-#> 6789  VR2AR-546131     -5.612700     56.37988             35
-#> 6790  VR2AR-546131     -5.612700     56.37988             35
-#> 6791  VR2AR-546131     -5.612700     56.37988             35
-#> 6792  VR2AR-546131     -5.612700     56.37988             35
-#> 6793  VR2AR-546131     -5.612700     56.37988             35
-#> 6794  VR2AR-546131     -5.612700     56.37988             35
-#> 6795  VR2AR-546131     -5.612700     56.37988             35
-#> 6796  VR2AR-546131     -5.612700     56.37988             35
-#> 6797  VR2AR-546131     -5.612700     56.37988             35
-#> 6798  VR2AR-546131     -5.612700     56.37988             35
-#> 6799  VR2AR-546131     -5.612700     56.37988             35
-#> 6800  VR2AR-546131     -5.612700     56.37988             35
-#> 6801  VR2AR-546131     -5.612700     56.37988             35
-#> 6802  VR2AR-546131     -5.612700     56.37988             35
-#> 6803  VR2AR-546131     -5.612700     56.37988             35
-#> 6804  VR2AR-546131     -5.612700     56.37988             35
-#> 6805  VR2AR-546131     -5.612700     56.37988             35
-#> 6806  VR2AR-546131     -5.612700     56.37988             35
-#> 6807  VR2AR-546131     -5.612700     56.37988             35
-#> 6808  VR2AR-546131     -5.612700     56.37988             35
-#> 6809  VR2AR-546131     -5.612700     56.37988             35
-#> 6810  VR2AR-546131     -5.612700     56.37988             35
-#> 6811  VR2AR-546131     -5.612700     56.37988             35
-#> 6812  VR2AR-546131     -5.612700     56.37988             35
-#> 6813  VR2AR-546131     -5.612700     56.37988             35
-#> 6814  VR2AR-546131     -5.612700     56.37988             35
-#> 6815  VR2AR-546131     -5.612700     56.37988             35
-#> 6816  VR2AR-546131     -5.612700     56.37988             35
-#> 6817  VR2AR-546131     -5.612700     56.37988             35
-#> 6818  VR2AR-546131     -5.612700     56.37988             35
-#> 6819  VR2AR-546131     -5.612700     56.37988             35
-#> 6820  VR2AR-546131     -5.612700     56.37988             35
-#> 6821  VR2AR-546131     -5.612700     56.37988             35
-#> 6822  VR2AR-546131     -5.612700     56.37988             35
-#> 6823  VR2AR-546131     -5.612700     56.37988             35
-#> 6824  VR2AR-546131     -5.612700     56.37988             35
-#> 6825  VR2AR-546131     -5.612700     56.37988             35
-#> 6826  VR2AR-546131     -5.612700     56.37988             35
-#> 6827  VR2AR-546131     -5.612700     56.37988             35
-#> 6828  VR2AR-546131     -5.612700     56.37988             35
-#> 6829  VR2AR-546131     -5.612700     56.37988             35
-#> 6830  VR2AR-546131     -5.612700     56.37988             35
-#> 6831  VR2AR-546131     -5.612700     56.37988             35
-#> 6832  VR2AR-546131     -5.612700     56.37988             35
-#> 6833  VR2AR-546131     -5.612700     56.37988             35
-#> 6834  VR2AR-546131     -5.612700     56.37988             35
-#> 6835  VR2AR-546131     -5.612700     56.37988             35
-#> 6836  VR2AR-546131     -5.612700     56.37988             35
-#> 6837  VR2AR-546131     -5.612700     56.37988             35
-#> 6838  VR2AR-546131     -5.612700     56.37988             35
-#> 6839  VR2AR-546131     -5.612700     56.37988             35
-#> 6840  VR2AR-546131     -5.612700     56.37988             35
-#> 6841  VR2AR-546131     -5.612700     56.37988             35
-#> 6842  VR2AR-546131     -5.612700     56.37988             35
-#> 6843  VR2AR-546131     -5.612700     56.37988             35
-#> 6844  VR2AR-546131     -5.612700     56.37988             35
-#> 6845  VR2AR-546131     -5.612700     56.37988             35
-#> 6846  VR2AR-546131     -5.612700     56.37988             35
-#> 6847  VR2AR-546131     -5.612700     56.37988             35
-#> 6848  VR2AR-546131     -5.612700     56.37988             35
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-#> 6851  VR2AR-546131     -5.612700     56.37988             35
-#> 6852  VR2AR-546131     -5.612700     56.37988             35
-#> 6853  VR2AR-546131     -5.612700     56.37988             35
-#> 6854  VR2AR-546131     -5.612700     56.37988             35
-#> 6855  VR2AR-546131     -5.612700     56.37988             35
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-#> 6858  VR2AR-546131     -5.612700     56.37988             35
-#> 6859  VR2AR-546131     -5.612700     56.37988             35
-#> 6860  VR2AR-546131     -5.612700     56.37988             35
-#> 6861  VR2AR-546131     -5.612700     56.37988             35
-#> 6862  VR2AR-546131     -5.612700     56.37988             35
-#> 6863  VR2AR-546131     -5.612700     56.37988             35
-#> 6864  VR2AR-546131     -5.612700     56.37988             35
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-#> 6870  VR2AR-546131     -5.612700     56.37988             35
-#> 6871  VR2AR-546131     -5.612700     56.37988             35
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-#> 6880  VR2AR-546131     -5.612700     56.37988             35
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-#> 6899  VR2AR-546131     -5.612700     56.37988             35
-#> 6900  VR2AR-546131     -5.612700     56.37988             35
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-#> 6902  VR2AR-546131     -5.612700     56.37988             35
-#> 6903  VR2AR-546136     -5.626250     56.44810             75
-#> 6904  VR2AR-546136     -5.626250     56.44810             75
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-#> 6908  VR2AR-546136     -5.626250     56.44810             75
-#> 6909      VR2-6723     -5.586383     56.50332             50
-#> 6910  VR2AR-546133     -5.701717     56.49747             90
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-#> 6932   VR2W-108161     -5.605383     56.46018             25
-#> 6933   VR2W-108161     -5.605383     56.46018             25
-#> 6934   VR2W-108161     -5.605383     56.46018             25
-#> 6935   VR2W-108161     -5.605383     56.46018             25
-#> 6936   VR2W-108161     -5.605383     56.46018             25
-#> 6937   VR2W-108161     -5.605383     56.46018             25
-#> 6938   VR2W-108161     -5.605383     56.46018             25
-#> 6939  VR2AR-546136     -5.626250     56.44810             75
-#> 6940  VR2AR-546136     -5.626250     56.44810             75
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-#> 6944  VR2AR-546136     -5.626250     56.44810             75
-#> 6945  VR2AR-546131     -5.612700     56.37988             35
-#> 6946  VR2AR-546131     -5.612700     56.37988             35
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-#> 7006  VR2AR-546131     -5.612700     56.37988             35
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-#> 7008  VR2AR-546131     -5.612700     56.37988             35
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-#> 7011  VR2AR-546131     -5.612700     56.37988             35
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-#> 7027  VR2AR-546131     -5.612700     56.37988             35
-#> 7028  VR2AR-546131     -5.612700     56.37988             35
-#> 7029  VR2AR-546131     -5.612700     56.37988             35
-#> 7030  VR2AR-546131     -5.612700     56.37988             35
-#> 7031  VR2AR-546131     -5.612700     56.37988             35
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-#> 7037  VR2AR-546131     -5.612700     56.37988             35
-#> 7038  VR2AR-546131     -5.612700     56.37988             35
-#> 7039  VR2AR-546131     -5.612700     56.37988             35
-#> 7040  VR2AR-546131     -5.612700     56.37988             35
-#> 7041  VR2AR-546131     -5.612700     56.37988             35
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-#> 7048  VR2AR-546131     -5.612700     56.37988             35
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-#> 7050  VR2AR-546131     -5.612700     56.37988             35
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-#> 7052  VR2AR-546131     -5.612700     56.37988             35
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-#> 7054  VR2AR-546131     -5.612700     56.37988             35
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-#> 7056  VR2AR-546131     -5.612700     56.37988             35
-#> 7057  VR2AR-546131     -5.612700     56.37988             35
-#> 7058  VR2AR-546131     -5.612700     56.37988             35
-#> 7059  VR2AR-546131     -5.612700     56.37988             35
-#> 7060  VR2AR-546131     -5.612700     56.37988             35
-#> 7061  VR2AR-546131     -5.612700     56.37988             35
-#> 7062  VR2AR-546131     -5.612700     56.37988             35
-#> 7063  VR2AR-546131     -5.612700     56.37988             35
-#> 7064  VR2AR-546131     -5.612700     56.37988             35
-#> 7065  VR2AR-546131     -5.612700     56.37988             35
-#> 7066  VR2AR-546131     -5.612700     56.37988             35
-#> 7067  VR2AR-546131     -5.612700     56.37988             35
-#> 7068  VR2AR-546131     -5.612700     56.37988             35
-#> 7069  VR2AR-546380     -5.637917     56.44800             25
-#> 7070  VR2AR-546380     -5.637917     56.44800             25
-#> 7071  VR2AR-546380     -5.637917     56.44800             25
-#> 7072  VR2AR-546380     -5.637917     56.44800             25
-#> 7073  VR2AR-546380     -5.637917     56.44800             25
-#> 7074  VR2AR-546380     -5.637917     56.44800             25
-#> 7075  VR2AR-546380     -5.637917     56.44800             25
-#> 7076  VR2AR-546380     -5.637917     56.44800             25
-#> 7077  VR2AR-546380     -5.637917     56.44800             25
-#> 7078  VR2AR-546380     -5.637917     56.44800             25
-#> 7079  VR2AR-546380     -5.637917     56.44800             25
-#> 7080  VR2AR-546380     -5.637917     56.44800             25
-#> 7081  VR2AR-546380     -5.637917     56.44800             25
-#> 7082  VR2AR-546380     -5.637917     56.44800             25
-#> 7083  VR2AR-546380     -5.637917     56.44800             25
-#> 7084  VR2AR-546380     -5.637917     56.44800             25
-#> 7085  VR2AR-546380     -5.637917     56.44800             25
-#> 7086  VR2AR-546380     -5.637917     56.44800             25
-#> 7087  VR2AR-546380     -5.637917     56.44800             25
-#> 7088  VR2AR-546380     -5.637917     56.44800             25
-#> 7089  VR2AR-546380     -5.637917     56.44800             25
-#> 7090  VR2AR-546380     -5.637917     56.44800             25
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-#> 7094  VR2AR-546380     -5.637917     56.44800             25
-#> 7095  VR2AR-546380     -5.637917     56.44800             25
-#> 7096  VR2AR-546380     -5.637917     56.44800             25
-#> 7097  VR2AR-546380     -5.637917     56.44800             25
-#> 7098  VR2AR-546380     -5.637917     56.44800             25
-#> 7099  VR2AR-546380     -5.637917     56.44800             25
-#> 7100  VR2AR-546380     -5.637917     56.44800             25
-#> 7101  VR2AR-546380     -5.637917     56.44800             25
-#> 7102  VR2AR-546380     -5.637917     56.44800             25
-#> 7103  VR2AR-546380     -5.637917     56.44800             25
-#> 7104  VR2AR-546380     -5.637917     56.44800             25
-#> 7105  VR2AR-546380     -5.637917     56.44800             25
-#> 7106  VR2AR-546380     -5.637917     56.44800             25
-#> 7107  VR2AR-546380     -5.637917     56.44800             25
-#> 7108  VR2AR-546380     -5.637917     56.44800             25
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-#> 7110  VR2AR-546380     -5.637917     56.44800             25
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-#> 7113  VR2AR-546380     -5.637917     56.44800             25
-#> 7114  VR2AR-546380     -5.637917     56.44800             25
-#> 7115  VR2AR-546380     -5.637917     56.44800             25
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-#> 7120  VR2AR-546380     -5.637917     56.44800             25
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-#> 7134  VR2AR-546380     -5.637917     56.44800             25
-#> 7135  VR2AR-546380     -5.637917     56.44800             25
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-#> 7139  VR2AR-546133     -5.701717     56.49747             90
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-#> 7152  VR2AR-546133     -5.701717     56.49747             90
-#> 7153      VR2-5637     -5.692417     56.49913             25
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-#> 7158      VR2-5637     -5.692417     56.49913             25
-#> 7159   VR2W-108161     -5.605383     56.46018             25
-#> 7160   VR2W-108161     -5.605383     56.46018             25
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-#> 7178   VR2W-108161     -5.605383     56.46018             25
-#> 7179  VR2AR-546136     -5.626250     56.44810             75
-#> 7180  VR2AR-546136     -5.626250     56.44810             75
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-#> 7191  VR2AR-546136     -5.626250     56.44810             75
-#> 7192  VR2AR-546131     -5.612700     56.37988             35
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-#> 7297      VR2-5637     -5.692417     56.49913             25
-#> 7298      VR2-5630     -5.591217     56.50710             50
-#> 7299      VR2-5630     -5.591217     56.50710             50
-#> 7300      VR2-5630     -5.591217     56.50710             50
-#> 7301      VR2-5630     -5.591217     56.50710             50
-#> 7302      VR2-5630     -5.591217     56.50710             50
-#> 7303      VR2-5630     -5.591217     56.50710             50
-#> 7304      VR2-5630     -5.591217     56.50710             50
-#> 7305      VR2-5630     -5.591217     56.50710             50
-#> 7306      VR2-5630     -5.591217     56.50710             50
-#> 7307      VR2-5630     -5.591217     56.50710             50
-#> 7308      VR2-5630     -5.591217     56.50710             50
-#> 7309      VR2-6723     -5.586383     56.50332             50
-#> 7310      VR2-6723     -5.586383     56.50332             50
-#> 7311      VR2-6723     -5.586383     56.50332             50
-#> 7312      VR2-6723     -5.586383     56.50332             50
-#> 7313      VR2-6723     -5.586383     56.50332             50
-#> 7314   VR2W-108163     -5.586717     56.49755             25
-#> 7315      VR2-6723     -5.586383     56.50332             50
-#> 7316   VR2W-108163     -5.586717     56.49755             25
-#> 7317   VR2W-108163     -5.586717     56.49755             25
-#> 7318      VR2-6723     -5.586383     56.50332             50
-#> 7319   VR2W-108163     -5.586717     56.49755             25
-#> 7320   VR2W-108163     -5.586717     56.49755             25
-#> 7321   VR2W-108161     -5.605383     56.46018             25
-#> 7322   VR2W-108161     -5.605383     56.46018             25
-#> 7323   VR2W-108161     -5.605383     56.46018             25
-#> 7324   VR2W-108161     -5.605383     56.46018             25
-#> 7325   VR2W-108161     -5.605383     56.46018             25
-#> 7326   VR2W-108161     -5.605383     56.46018             25
-#> 7327   VR2W-108161     -5.605383     56.46018             25
-#> 7328   VR2W-108161     -5.605383     56.46018             25
-#> 7329   VR2W-108161     -5.605383     56.46018             25
-#> 7330   VR2W-108161     -5.605383     56.46018             25
-#> 7331   VR2W-108161     -5.605383     56.46018             25
-#> 7332   VR2W-108161     -5.605383     56.46018             25
-#> 7333   VR2W-108161     -5.605383     56.46018             25
-#> 7334   VR2W-108161     -5.605383     56.46018             25
-#> 7335   VR2W-108161     -5.605383     56.46018             25
-#> 7336   VR2W-108161     -5.605383     56.46018             25
-#> 7337   VR2W-108161     -5.605383     56.46018             25
-#> 7338   VR2W-108161     -5.605383     56.46018             25
-#> 7339   VR2W-108161     -5.605383     56.46018             25
-#> 7340   VR2W-108161     -5.605383     56.46018             25
-#> 7341   VR2W-108161     -5.605383     56.46018             25
-#> 7342  VR2AR-546136     -5.626250     56.44810             75
-#> 7343  VR2AR-546136     -5.626250     56.44810             75
-#> 7344  VR2AR-546136     -5.626250     56.44810             75
-#> 7345  VR2AR-546131     -5.612700     56.37988             35
-#> 7346  VR2AR-546131     -5.612700     56.37988             35
-#> 7347  VR2AR-546131     -5.612700     56.37988             35
-#> 7348  VR2AR-546131     -5.612700     56.37988             35
-#> 7349  VR2AR-546131     -5.612700     56.37988             35
-#> 7350  VR2AR-546131     -5.612700     56.37988             35
-#> 7351  VR2AR-546131     -5.612700     56.37988             35
-#> 7352  VR2AR-546131     -5.612700     56.37988             35
-#> 7353  VR2AR-546131     -5.612700     56.37988             35
-#> 7354  VR2AR-546131     -5.612700     56.37988             35
-#> 7355  VR2AR-546131     -5.612700     56.37988             35
-#> 7356  VR2AR-546131     -5.612700     56.37988             35
-#> 7357  VR2AR-546131     -5.612700     56.37988             35
-#> 7358  VR2AR-546131     -5.612700     56.37988             35
-#> 7359  VR2AR-546131     -5.612700     56.37988             35
-#> 7360  VR2AR-546131     -5.612700     56.37988             35
-#> 7361  VR2AR-546131     -5.612700     56.37988             35
-#> 7362  VR2AR-546131     -5.612700     56.37988             35
-#> 7363  VR2AR-546131     -5.612700     56.37988             35
-#> 7364  VR2AR-546131     -5.612700     56.37988             35
-#> 7365  VR2AR-546131     -5.612700     56.37988             35
-#> 7366  VR2AR-546131     -5.612700     56.37988             35
-#> 7367  VR2AR-546131     -5.612700     56.37988             35
-#> 7368  VR2AR-546131     -5.612700     56.37988             35
-#> 7369  VR2AR-546131     -5.612700     56.37988             35
-#> 7370  VR2AR-546131     -5.612700     56.37988             35
-#> 7371  VR2AR-546131     -5.612700     56.37988             35
-#> 7372  VR2AR-546131     -5.612700     56.37988             35
-#> 7373  VR2AR-546131     -5.612700     56.37988             35
-#> 7374  VR2AR-546131     -5.612700     56.37988             35
-#> 7375  VR2AR-546131     -5.612700     56.37988             35
-#> 7376  VR2AR-546131     -5.612700     56.37988             35
-#> 7377  VR2AR-546131     -5.612700     56.37988             35
-#> 7378  VR2AR-546131     -5.612700     56.37988             35
-#> 7379  VR2AR-546131     -5.612700     56.37988             35
-#> 7380  VR2AR-546131     -5.612700     56.37988             35
-#> 7381  VR2AR-546131     -5.612700     56.37988             35
-#> 7382  VR2AR-546131     -5.612700     56.37988             35
-#> 7383  VR2AR-546131     -5.612700     56.37988             35
-#> 7384  VR2AR-546131     -5.612700     56.37988             35
-#> 7385  VR2AR-546131     -5.612700     56.37988             35
-#> 7386  VR2AR-546131     -5.612700     56.37988             35
-#> 7387  VR2AR-546131     -5.612700     56.37988             35
-#> 7388  VR2AR-546131     -5.612700     56.37988             35
-#> 7389  VR2AR-546131     -5.612700     56.37988             35
-#> 7390  VR2AR-546131     -5.612700     56.37988             35
-#> 7391  VR2AR-546131     -5.612700     56.37988             35
-#> 7392  VR2AR-546131     -5.612700     56.37988             35
-#> 7393  VR2AR-546131     -5.612700     56.37988             35
-#> 7394  VR2AR-546131     -5.612700     56.37988             35
-#> 7395  VR2AR-546131     -5.612700     56.37988             35
-#> 7396  VR2AR-546131     -5.612700     56.37988             35
-#> 7397  VR2AR-546131     -5.612700     56.37988             35
-#> 7398  VR2AR-546131     -5.612700     56.37988             35
-#> 7399  VR2AR-546131     -5.612700     56.37988             35
-#> 7400  VR2AR-546131     -5.612700     56.37988             35
-#> 7401  VR2AR-546131     -5.612700     56.37988             35
-#> 7402  VR2AR-546131     -5.612700     56.37988             35
-#> 7403  VR2AR-546131     -5.612700     56.37988             35
-#> 7404  VR2AR-546131     -5.612700     56.37988             35
-#> 7405  VR2AR-546131     -5.612700     56.37988             35
-#> 7406  VR2AR-546131     -5.612700     56.37988             35
-#> 7407  VR2AR-546131     -5.612700     56.37988             35
-#> 7408  VR2AR-546131     -5.612700     56.37988             35
-#> 7409  VR2AR-546131     -5.612700     56.37988             35
-#> 7410  VR2AR-546131     -5.612700     56.37988             35
-#> 7411  VR2AR-546131     -5.612700     56.37988             35
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-#> 7413  VR2AR-546131     -5.612700     56.37988             35
-#> 7414  VR2AR-546131     -5.612700     56.37988             35
-#> 7415  VR2AR-546131     -5.612700     56.37988             35
-#> 7416  VR2AR-546131     -5.612700     56.37988             35
-#> 7417  VR2AR-546131     -5.612700     56.37988             35
-#> 7418  VR2AR-546131     -5.612700     56.37988             35
-#> 7419  VR2AR-546131     -5.612700     56.37988             35
-#> 7420  VR2AR-546131     -5.612700     56.37988             35
-#> 7421  VR2AR-546131     -5.612700     56.37988             35
-#> 7422  VR2AR-546131     -5.612700     56.37988             35
-#> 7423  VR2AR-546131     -5.612700     56.37988             35
-#> 7424  VR2AR-546131     -5.612700     56.37988             35
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-#> 7427  VR2AR-546131     -5.612700     56.37988             35
-#> 7428  VR2AR-546131     -5.612700     56.37988             35
-#> 7429  VR2AR-546131     -5.612700     56.37988             35
-#> 7430  VR2AR-546131     -5.612700     56.37988             35
-#> 7431  VR2AR-546131     -5.612700     56.37988             35
-#> 7432  VR2AR-546131     -5.612700     56.37988             35
-#> 7433  VR2AR-546131     -5.612700     56.37988             35
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-#> 7435  VR2AR-546131     -5.612700     56.37988             35
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-#> 7437  VR2AR-546131     -5.612700     56.37988             35
-#> 7438  VR2AR-546131     -5.612700     56.37988             35
-#> 7439  VR2AR-546131     -5.612700     56.37988             35
-#> 7440  VR2AR-546131     -5.612700     56.37988             35
-#> 7441  VR2AR-546131     -5.612700     56.37988             35
-#> 7442  VR2AR-546131     -5.612700     56.37988             35
-#> 7443  VR2AR-546131     -5.612700     56.37988             35
-#> 7444  VR2AR-546131     -5.612700     56.37988             35
-#> 7445  VR2AR-546131     -5.612700     56.37988             35
-#> 7446  VR2AR-546131     -5.612700     56.37988             35
-#> 7447  VR2AR-546131     -5.612700     56.37988             35
-#> 7448  VR2AR-546131     -5.612700     56.37988             35
-#> 7449  VR2AR-546131     -5.612700     56.37988             35
-#> 7450  VR2AR-546131     -5.612700     56.37988             35
-#> 7451  VR2AR-546131     -5.612700     56.37988             35
-#> 7452  VR2AR-546131     -5.612700     56.37988             35
-#> 7453  VR2AR-546131     -5.612700     56.37988             35
-#> 7454  VR2AR-546131     -5.612700     56.37988             35
-#> 7455  VR2AR-546131     -5.612700     56.37988             35
-#> 7456  VR2AR-546131     -5.612700     56.37988             35
-#> 7457  VR2AR-546131     -5.612700     56.37988             35
-#> 7458  VR2AR-546131     -5.612700     56.37988             35
-#> 7459  VR2AR-546131     -5.612700     56.37988             35
-#> 7460  VR2AR-546131     -5.612700     56.37988             35
-#> 7461  VR2AR-546131     -5.612700     56.37988             35
-#> 7462  VR2AR-546131     -5.612700     56.37988             35
-#> 7463  VR2AR-546131     -5.612700     56.37988             35
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-#> 7465  VR2AR-546131     -5.612700     56.37988             35
-#> 7466  VR2AR-546131     -5.612700     56.37988             35
-#> 7467  VR2AR-546131     -5.612700     56.37988             35
-#> 7468  VR2AR-546131     -5.612700     56.37988             35
-#> 7469  VR2AR-546131     -5.612700     56.37988             35
-#> 7470  VR2AR-546131     -5.612700     56.37988             35
-#> 7471  VR2AR-546131     -5.612700     56.37988             35
-#> 7472  VR2AR-546131     -5.612700     56.37988             35
-#> 7473  VR2AR-546131     -5.612700     56.37988             35
-#> 7474  VR2AR-546131     -5.612700     56.37988             35
-#> 7475  VR2AR-546131     -5.612700     56.37988             35
-#> 7476  VR2AR-546131     -5.612700     56.37988             35
-#> 7477  VR2AR-546131     -5.612700     56.37988             35
-#> 7478  VR2AR-546131     -5.612700     56.37988             35
-#> 7479  VR2AR-546131     -5.612700     56.37988             35
-#> 7480  VR2AR-546131     -5.612700     56.37988             35
-#> 7481  VR2AR-546131     -5.612700     56.37988             35
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-#> 7484  VR2AR-546131     -5.612700     56.37988             35
-#> 7485  VR2AR-546131     -5.612700     56.37988             35
-#> 7486  VR2AR-546131     -5.612700     56.37988             35
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-#> 7489  VR2AR-546131     -5.612700     56.37988             35
-#> 7490  VR2AR-546131     -5.612700     56.37988             35
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-#> 7492  VR2AR-546131     -5.612700     56.37988             35
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-#> 7496  VR2AR-546131     -5.612700     56.37988             35
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-#> 7499  VR2AR-546131     -5.612700     56.37988             35
-#> 7500  VR2AR-546131     -5.612700     56.37988             35
-#> 7501  VR2AR-546131     -5.612700     56.37988             35
-#> 7502  VR2AR-546131     -5.612700     56.37988             35
-#> 7503  VR2AR-546131     -5.612700     56.37988             35
-#> 7504  VR2AR-546131     -5.612700     56.37988             35
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-#> 7506  VR2AR-546131     -5.612700     56.37988             35
-#> 7507  VR2AR-546131     -5.612700     56.37988             35
-#> 7508  VR2AR-546131     -5.612700     56.37988             35
-#> 7509  VR2AR-546131     -5.612700     56.37988             35
-#> 7510  VR2AR-546131     -5.612700     56.37988             35
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-#> 7514  VR2AR-546131     -5.612700     56.37988             35
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-#> 7548  VR2AR-546380     -5.637917     56.44800             25
-#> 7549  VR2AR-546380     -5.637917     56.44800             25
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-#> 7575  VR2AR-546133     -5.701717     56.49747             90
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-#> 7578   VR2W-108157     -5.710933     56.48492             10
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-#> 7589   VR2W-108157     -5.710933     56.48492             10
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-#> 7591   VR2W-108157     -5.710933     56.48492             10
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-#> 7598   VR2W-108157     -5.710933     56.48492             10
-#> 7599   VR2W-108157     -5.710933     56.48492             10
-#> 7600   VR2W-108157     -5.710933     56.48492             10
-#> 7601   VR2W-108157     -5.710933     56.48492             10
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-#> 7605  VR2AR-546132     -5.710100     56.49120             25
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-#> 7619  VR2AR-546133     -5.701717     56.49747             90
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-#> 7642  VR2AR-546133     -5.701717     56.49747             90
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-#> 7650      VR2-5637     -5.692417     56.49913             25
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-#> 7652  VR2AR-546133     -5.701717     56.49747             90
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-#> 7679  VR2AR-546133     -5.701717     56.49747             90
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-#> 7684      VR2-5637     -5.692417     56.49913             25
-#> 7685  VR2AR-546133     -5.701717     56.49747             90
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-#> 7773      VR2-5637     -5.692417     56.49913             25
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-#> 7823      VR2-5637     -5.692417     56.49913             25
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-#> 7828      VR2-5630     -5.591217     56.50710             50
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-#> 7853      VR2-6723     -5.586383     56.50332             50
-#> 7854      VR2-6723     -5.586383     56.50332             50
-#> 7855      VR2-6723     -5.586383     56.50332             50
-#> 7856      VR2-6723     -5.586383     56.50332             50
-#> 7857      VR2-6723     -5.586383     56.50332             50
-#> 7858      VR2-6723     -5.586383     56.50332             50
-#> 7859   VR2W-108163     -5.586717     56.49755             25
-#> 7860   VR2W-108163     -5.586717     56.49755             25
-#> 7861   VR2W-108163     -5.586717     56.49755             25
-#> 7862   VR2W-108163     -5.586717     56.49755             25
-#> 7863      VR2-6723     -5.586383     56.50332             50
-#> 7864   VR2W-108163     -5.586717     56.49755             25
-#> 7865   VR2W-108163     -5.586717     56.49755             25
-#> 7866      VR2-6723     -5.586383     56.50332             50
-#> 7867      VR2-6723     -5.586383     56.50332             50
-#> 7868      VR2-6723     -5.586383     56.50332             50
-#> 7869   VR2W-108163     -5.586717     56.49755             25
-#> 7870  VR2AR-546136     -5.626250     56.44810             75
-#> 7871  VR2AR-546136     -5.626250     56.44810             75
-#> 7872  VR2AR-546136     -5.626250     56.44810             75
-#> 7873  VR2AR-546136     -5.626250     56.44810             75
-#> 7874  VR2AR-546131     -5.612700     56.37988             35
-#> 7875  VR2AR-546131     -5.612700     56.37988             35
-#> 7876  VR2AR-546131     -5.612700     56.37988             35
-#> 7877  VR2AR-546131     -5.612700     56.37988             35
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-#> 7886  VR2AR-546131     -5.612700     56.37988             35
-#> 7887  VR2AR-546131     -5.612700     56.37988             35
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-#> 7972  VR2AR-546136     -5.626250     56.44810             75
-#> 7973  VR2AR-546380     -5.637917     56.44800             25
-#> 7974  VR2AR-546380     -5.637917     56.44800             25
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-#> 7979  VR2AR-546136     -5.626250     56.44810             75
-#> 7980  VR2AR-546380     -5.637917     56.44800             25
-#> 7981  VR2AR-546380     -5.637917     56.44800             25
-#> 7982  VR2AR-546380     -5.637917     56.44800             25
-#> 7983  VR2AR-546380     -5.637917     56.44800             25
-#> 7984  VR2AR-546136     -5.626250     56.44810             75
-#> 7985  VR2AR-546380     -5.637917     56.44800             25
-#> 7986  VR2AR-546380     -5.637917     56.44800             25
-#> 7987  VR2AR-546380     -5.637917     56.44800             25
-#> 7988  VR2AR-546136     -5.626250     56.44810             75
-#> 7989  VR2AR-546136     -5.626250     56.44810             75
-#> 7990  VR2AR-546380     -5.637917     56.44800             25
-#> 7991  VR2AR-546136     -5.626250     56.44810             75
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-#> 7994  VR2AR-546131     -5.612700     56.37988             35
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-#> 8191  VR2AR-546131     -5.612700     56.37988             35
-#> 8192  VR2AR-546131     -5.612700     56.37988             35
-#> 8193  VR2AR-546131     -5.612700     56.37988             35
-#> 8194  VR2AR-546131     -5.612700     56.37988             35
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-#> 8196  VR2AR-546131     -5.612700     56.37988             35
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-#> 8199  VR2AR-546134     -5.643867     56.38278            145
-#> 8200  VR2AR-546134     -5.643867     56.38278            145
-#> 8201  VR2AR-546134     -5.643867     56.38278            145
-#> 8202  VR2AR-546134     -5.643867     56.38278            145
-#> 8203  VR2AR-546134     -5.643867     56.38278            145
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-#> 8205  VR2AR-546134     -5.643867     56.38278            145
-#> 8206  VR2AR-546134     -5.643867     56.38278            145
-#> 8207  VR2AR-546135     -5.657067     56.38803             85
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-#> 8226  VR2AR-546135     -5.657067     56.38803             85
-#> 8227  VR2AR-546135     -5.657067     56.38803             85
-#> 8228  VR2AR-546380     -5.637917     56.44800             25
-#> 8229  VR2AR-546380     -5.637917     56.44800             25
-#> 8230  VR2AR-546380     -5.637917     56.44800             25
-#> 8231  VR2AR-546380     -5.637917     56.44800             25
-#> 8232  VR2AR-546380     -5.637917     56.44800             25
-#> 8233  VR2AR-546380     -5.637917     56.44800             25
-#> 8234  VR2AR-546380     -5.637917     56.44800             25
-#> 8235      VR2-5637     -5.692417     56.49913             25
-#> 8236      VR2-5637     -5.692417     56.49913             25
-#> 8237      VR2-5637     -5.692417     56.49913             25
-#> 8238      VR2-5637     -5.692417     56.49913             25
-#> 8239      VR2-5637     -5.692417     56.49913             25
-#> 8240      VR2-5637     -5.692417     56.49913             25
-#> 8241      VR2-5637     -5.692417     56.49913             25
-#> 8242      VR2-5637     -5.692417     56.49913             25
-#> 8243      VR2-5637     -5.692417     56.49913             25
-#> 8244      VR2-5637     -5.692417     56.49913             25
-#> 8245  VR2AR-546380     -5.637917     56.44800             25
-#> 8246  VR2AR-546380     -5.637917     56.44800             25
-#> 8247  VR2AR-546380     -5.637917     56.44800             25
-#> 8248  VR2AR-546380     -5.637917     56.44800             25
-#> 8249  VR2AR-546380     -5.637917     56.44800             25
-#> 8250  VR2AR-546380     -5.637917     56.44800             25
-#> 8251  VR2AR-546380     -5.637917     56.44800             25
-#> 8252  VR2AR-546380     -5.637917     56.44800             25
-#> 8253  VR2AR-546380     -5.637917     56.44800             25
-#> 8254  VR2AR-546380     -5.637917     56.44800             25
-#> 8255  VR2AR-546380     -5.637917     56.44800             25
-#> 8256  VR2AR-546380     -5.637917     56.44800             25
-#> 8257  VR2AR-546380     -5.637917     56.44800             25
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-#> 8259  VR2AR-546134     -5.643867     56.38278            145
-#> 8260  VR2AR-546134     -5.643867     56.38278            145
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-#> 8265  VR2AR-546134     -5.643867     56.38278            145
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-#> 8276  VR2AR-546134     -5.643867     56.38278            145
-#> 8277  VR2AR-546134     -5.643867     56.38278            145
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-#> 8280  VR2AR-546134     -5.643867     56.38278            145
-#> 8281  VR2AR-546134     -5.643867     56.38278            145
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-#> 8336  VR2AR-546134     -5.643867     56.38278            145
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-#> 8351   VR2W-108160     -5.631733     56.37447             50
-#> 8352  VR2AR-546131     -5.612700     56.37988             35
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-#> 8466  VR2AR-546131     -5.612700     56.37988             35
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-#> 8468  VR2AR-546131     -5.612700     56.37988             35
-#> 8469  VR2AR-546131     -5.612700     56.37988             35
-#> 8470  VR2AR-546131     -5.612700     56.37988             35
-#> 8471  VR2AR-546131     -5.612700     56.37988             35
-#> 8472  VR2AR-546131     -5.612700     56.37988             35
-#> 8473  VR2AR-546131     -5.612700     56.37988             35
-#> 8474  VR2AR-546131     -5.612700     56.37988             35
-#> 8475  VR2AR-546131     -5.612700     56.37988             35
-#> 8476  VR2AR-546131     -5.612700     56.37988             35
-#> 8477  VR2AR-546131     -5.612700     56.37988             35
-#> 8478  VR2AR-546131     -5.612700     56.37988             35
-#> 8479  VR2AR-546131     -5.612700     56.37988             35
-#> 8480  VR2AR-546131     -5.612700     56.37988             35
-#> 8481  VR2AR-546131     -5.612700     56.37988             35
-#> 8482  VR2AR-546131     -5.612700     56.37988             35
-#> 8483  VR2AR-546131     -5.612700     56.37988             35
-#> 8484  VR2AR-546131     -5.612700     56.37988             35
-#> 8485  VR2AR-546131     -5.612700     56.37988             35
-#> 8486  VR2AR-546131     -5.612700     56.37988             35
-#> 8487  VR2AR-546131     -5.612700     56.37988             35
-#> 8488  VR2AR-546131     -5.612700     56.37988             35
-#> 8489  VR2AR-546131     -5.612700     56.37988             35
-#> 8490  VR2AR-546131     -5.612700     56.37988             35
-#> 8491  VR2AR-546131     -5.612700     56.37988             35
-#> 8492  VR2AR-546131     -5.612700     56.37988             35
-#> 8493  VR2AR-546131     -5.612700     56.37988             35
-#> 8494  VR2AR-546131     -5.612700     56.37988             35
-#> 8495  VR2AR-546131     -5.612700     56.37988             35
-#> 8496  VR2AR-546131     -5.612700     56.37988             35
-#> 8497  VR2AR-546131     -5.612700     56.37988             35
-#> 8498  VR2AR-546131     -5.612700     56.37988             35
-#> 8499  VR2AR-546131     -5.612700     56.37988             35
-#> 8500  VR2AR-546131     -5.612700     56.37988             35
-#> 8501  VR2AR-546131     -5.612700     56.37988             35
-#> 8502  VR2AR-546131     -5.612700     56.37988             35
-#> 8503  VR2AR-546131     -5.612700     56.37988             35
-#> 8504  VR2AR-546131     -5.612700     56.37988             35
-#> 8505  VR2AR-546131     -5.612700     56.37988             35
-#> 8506  VR2AR-546131     -5.612700     56.37988             35
-#> 8507  VR2AR-546131     -5.612700     56.37988             35
-#> 8508  VR2AR-546131     -5.612700     56.37988             35
-#> 8509  VR2AR-546131     -5.612700     56.37988             35
-#> 8510  VR2AR-546131     -5.612700     56.37988             35
-#> 8511  VR2AR-546131     -5.612700     56.37988             35
-#> 8512  VR2AR-546131     -5.612700     56.37988             35
-#> 8513  VR2AR-546131     -5.612700     56.37988             35
-#> 8514  VR2AR-546131     -5.612700     56.37988             35
-#> 8515  VR2AR-546131     -5.612700     56.37988             35
-#> 8516  VR2AR-546131     -5.612700     56.37988             35
-#> 8517  VR2AR-546131     -5.612700     56.37988             35
-#> 8518  VR2AR-546131     -5.612700     56.37988             35
-#> 8519  VR2AR-546131     -5.612700     56.37988             35
-#> 8520  VR2AR-546131     -5.612700     56.37988             35
-#> 8521  VR2AR-546131     -5.612700     56.37988             35
-#> 8522  VR2AR-546131     -5.612700     56.37988             35
-#> 8523  VR2AR-546131     -5.612700     56.37988             35
-#> 8524  VR2AR-546131     -5.612700     56.37988             35
-#> 8525  VR2AR-546131     -5.612700     56.37988             35
-#> 8526  VR2AR-546131     -5.612700     56.37988             35
-#> 8527  VR2AR-546131     -5.612700     56.37988             35
-#> 8528  VR2AR-546131     -5.612700     56.37988             35
-#> 8529  VR2AR-546131     -5.612700     56.37988             35
-#> 8530  VR2AR-546131     -5.612700     56.37988             35
-#> 8531  VR2AR-546131     -5.612700     56.37988             35
-#> 8532  VR2AR-546131     -5.612700     56.37988             35
-#> 8533  VR2AR-546131     -5.612700     56.37988             35
-#> 8534  VR2AR-546131     -5.612700     56.37988             35
-#> 8535  VR2AR-546131     -5.612700     56.37988             35
-#> 8536  VR2AR-546131     -5.612700     56.37988             35
-#> 8537  VR2AR-546131     -5.612700     56.37988             35
-#> 8538  VR2AR-546131     -5.612700     56.37988             35
-#> 8539  VR2AR-546131     -5.612700     56.37988             35
-#> 8540  VR2AR-546131     -5.612700     56.37988             35
-#> 8541  VR2AR-546131     -5.612700     56.37988             35
-#> 8542  VR2AR-546131     -5.612700     56.37988             35
-#> 8543  VR2AR-546131     -5.612700     56.37988             35
-#> 8544  VR2AR-546131     -5.612700     56.37988             35
-#> 8545  VR2AR-546131     -5.612700     56.37988             35
-#> 8546  VR2AR-546131     -5.612700     56.37988             35
-#> 8547  VR2AR-546131     -5.612700     56.37988             35
-#> 8548  VR2AR-546131     -5.612700     56.37988             35
-#> 8549  VR2AR-546131     -5.612700     56.37988             35
-#> 8550  VR2AR-546131     -5.612700     56.37988             35
-#> 8551  VR2AR-546131     -5.612700     56.37988             35
-#> 8552  VR2AR-546131     -5.612700     56.37988             35
-#> 8553  VR2AR-546131     -5.612700     56.37988             35
-#> 8554  VR2AR-546131     -5.612700     56.37988             35
-#> 8555  VR2AR-546131     -5.612700     56.37988             35
-#> 8556  VR2AR-546131     -5.612700     56.37988             35
-#> 8557  VR2AR-546131     -5.612700     56.37988             35
-#> 8558  VR2AR-546131     -5.612700     56.37988             35
-#> 8559  VR2AR-546131     -5.612700     56.37988             35
-#> 8560  VR2AR-546131     -5.612700     56.37988             35
-#> 8561  VR2AR-546131     -5.612700     56.37988             35
-#> 8562  VR2AR-546131     -5.612700     56.37988             35
-#> 8563  VR2AR-546131     -5.612700     56.37988             35
-#> 8564  VR2AR-546131     -5.612700     56.37988             35
-#> 8565  VR2AR-546131     -5.612700     56.37988             35
-#> 8566  VR2AR-546131     -5.612700     56.37988             35
-#> 8567  VR2AR-546131     -5.612700     56.37988             35
-#> 8568  VR2AR-546131     -5.612700     56.37988             35
-#> 8569  VR2AR-546131     -5.612700     56.37988             35
-#> 8570  VR2AR-546131     -5.612700     56.37988             35
-#> 8571  VR2AR-546131     -5.612700     56.37988             35
-#> 8572  VR2AR-546131     -5.612700     56.37988             35
-#> 8573  VR2AR-546131     -5.612700     56.37988             35
-#> 8574  VR2AR-546131     -5.612700     56.37988             35
-#> 8575  VR2AR-546131     -5.612700     56.37988             35
-#> 8576  VR2AR-546131     -5.612700     56.37988             35
-#> 8577  VR2AR-546131     -5.612700     56.37988             35
-#> 8578  VR2AR-546131     -5.612700     56.37988             35
-#> 8579  VR2AR-546131     -5.612700     56.37988             35
-#> 8580  VR2AR-546131     -5.612700     56.37988             35
-#> 8581  VR2AR-546131     -5.612700     56.37988             35
-#> 8582  VR2AR-546131     -5.612700     56.37988             35
-#> 8583  VR2AR-546131     -5.612700     56.37988             35
-#> 8584  VR2AR-546131     -5.612700     56.37988             35
-#> 8585  VR2AR-546131     -5.612700     56.37988             35
-#> 8586  VR2AR-546131     -5.612700     56.37988             35
-#> 8587  VR2AR-546131     -5.612700     56.37988             35
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-#> 8589  VR2AR-546131     -5.612700     56.37988             35
-#> 8590  VR2AR-546131     -5.612700     56.37988             35
-#> 8591  VR2AR-546131     -5.612700     56.37988             35
-#> 8592  VR2AR-546131     -5.612700     56.37988             35
-#> 8593  VR2AR-546136     -5.626250     56.44810             75
-#> 8594  VR2AR-546136     -5.626250     56.44810             75
-#> 8595  VR2AR-546136     -5.626250     56.44810             75
-#> 8596  VR2AR-546136     -5.626250     56.44810             75
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-#> 8598  VR2AR-546136     -5.626250     56.44810             75
-#> 8599      VR2-5637     -5.692417     56.49913             25
-#> 8600      VR2-5637     -5.692417     56.49913             25
-#> 8601      VR2-5637     -5.692417     56.49913             25
-#> 8602      VR2-5637     -5.692417     56.49913             25
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-#> 8616  VR2AR-546133     -5.701717     56.49747             90
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-#> 8623      VR2-5637     -5.692417     56.49913             25
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-#> 8657  VR2AR-546133     -5.701717     56.49747             90
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-#> 8691  VR2AR-546133     -5.701717     56.49747             90
-#> 8692  VR2AR-546133     -5.701717     56.49747             90
-#> 8693  VR2AR-546136     -5.626250     56.44810             75
-#> 8694  VR2AR-546136     -5.626250     56.44810             75
-#> 8695  VR2AR-546380     -5.637917     56.44800             25
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-#> 8697  VR2AR-546380     -5.637917     56.44800             25
-#> 8698  VR2AR-546380     -5.637917     56.44800             25
-#> 8699  VR2AR-546136     -5.626250     56.44810             75
-#> 8700  VR2AR-546380     -5.637917     56.44800             25
-#> 8701  VR2AR-546380     -5.637917     56.44800             25
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-#> 8707  VR2AR-546380     -5.637917     56.44800             25
-#> 8708  VR2AR-546380     -5.637917     56.44800             25
-#> 8709  VR2AR-546380     -5.637917     56.44800             25
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-#> 8714  VR2AR-546380     -5.637917     56.44800             25
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-#> 8731  VR2AR-546131     -5.612700     56.37988             35
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-#> 8758  VR2AR-546131     -5.612700     56.37988             35
-#> 8759  VR2AR-546131     -5.612700     56.37988             35
-#> 8760  VR2AR-546131     -5.612700     56.37988             35
-#> 8761  VR2AR-546131     -5.612700     56.37988             35
-#> 8762  VR2AR-546131     -5.612700     56.37988             35
-#> 8763  VR2AR-546131     -5.612700     56.37988             35
-#> 8764  VR2AR-546131     -5.612700     56.37988             35
-#> 8765  VR2AR-546131     -5.612700     56.37988             35
-#> 8766  VR2AR-546131     -5.612700     56.37988             35
-#> 8767  VR2AR-546131     -5.612700     56.37988             35
-#> 8768  VR2AR-546131     -5.612700     56.37988             35
-#> 8769  VR2AR-546131     -5.612700     56.37988             35
-#> 8770  VR2AR-546131     -5.612700     56.37988             35
-#> 8771  VR2AR-546131     -5.612700     56.37988             35
-#> 8772  VR2AR-546131     -5.612700     56.37988             35
-#> 8773  VR2AR-546131     -5.612700     56.37988             35
-#> 8774  VR2AR-546131     -5.612700     56.37988             35
-#> 8775  VR2AR-546131     -5.612700     56.37988             35
-#> 8776  VR2AR-546131     -5.612700     56.37988             35
-#> 8777  VR2AR-546131     -5.612700     56.37988             35
-#> 8778  VR2AR-546131     -5.612700     56.37988             35
-#> 8779  VR2AR-546131     -5.612700     56.37988             35
-#> 8780  VR2AR-546131     -5.612700     56.37988             35
-#> 8781  VR2AR-546131     -5.612700     56.37988             35
-#> 8782  VR2AR-546131     -5.612700     56.37988             35
-#> 8783  VR2AR-546131     -5.612700     56.37988             35
-#> 8784  VR2AR-546131     -5.612700     56.37988             35
-#> 8785  VR2AR-546131     -5.612700     56.37988             35
-#> 8786  VR2AR-546131     -5.612700     56.37988             35
-#> 8787  VR2AR-546131     -5.612700     56.37988             35
-#> 8788  VR2AR-546131     -5.612700     56.37988             35
-#> 8789  VR2AR-546131     -5.612700     56.37988             35
-#> 8790  VR2AR-546131     -5.612700     56.37988             35
-#> 8791  VR2AR-546131     -5.612700     56.37988             35
-#> 8792  VR2AR-546131     -5.612700     56.37988             35
-#> 8793  VR2AR-546131     -5.612700     56.37988             35
-#> 8794  VR2AR-546131     -5.612700     56.37988             35
-#> 8795  VR2AR-546131     -5.612700     56.37988             35
-#> 8796  VR2AR-546131     -5.612700     56.37988             35
-#> 8797  VR2AR-546131     -5.612700     56.37988             35
-#> 8798  VR2AR-546131     -5.612700     56.37988             35
-#> 8799  VR2AR-546131     -5.612700     56.37988             35
-#> 8800  VR2AR-546131     -5.612700     56.37988             35
-#> 8801  VR2AR-546131     -5.612700     56.37988             35
-#> 8802  VR2AR-546131     -5.612700     56.37988             35
-#> 8803  VR2AR-546131     -5.612700     56.37988             35
-#> 8804  VR2AR-546131     -5.612700     56.37988             35
-#> 8805  VR2AR-546131     -5.612700     56.37988             35
-#> 8806  VR2AR-546131     -5.612700     56.37988             35
-#> 8807  VR2AR-546131     -5.612700     56.37988             35
-#> 8808  VR2AR-546131     -5.612700     56.37988             35
-#> 8809  VR2AR-546131     -5.612700     56.37988             35
-#> 8810  VR2AR-546131     -5.612700     56.37988             35
-#> 8811  VR2AR-546131     -5.612700     56.37988             35
-#> 8812  VR2AR-546131     -5.612700     56.37988             35
-#> 8813  VR2AR-546131     -5.612700     56.37988             35
-#> 8814  VR2AR-546131     -5.612700     56.37988             35
-#> 8815  VR2AR-546131     -5.612700     56.37988             35
-#> 8816  VR2AR-546131     -5.612700     56.37988             35
-#> 8817  VR2AR-546131     -5.612700     56.37988             35
-#> 8818  VR2AR-546131     -5.612700     56.37988             35
-#> 8819  VR2AR-546131     -5.612700     56.37988             35
-#> 8820  VR2AR-546131     -5.612700     56.37988             35
-#> 8821  VR2AR-546131     -5.612700     56.37988             35
-#> 8822  VR2AR-546131     -5.612700     56.37988             35
-#> 8823  VR2AR-546131     -5.612700     56.37988             35
-#> 8824  VR2AR-546131     -5.612700     56.37988             35
-#> 8825  VR2AR-546131     -5.612700     56.37988             35
-#> 8826  VR2AR-546131     -5.612700     56.37988             35
-#> 8827  VR2AR-546131     -5.612700     56.37988             35
-#> 8828  VR2AR-546131     -5.612700     56.37988             35
-#> 8829  VR2AR-546131     -5.612700     56.37988             35
-#> 8830  VR2AR-546131     -5.612700     56.37988             35
-#> 8831  VR2AR-546131     -5.612700     56.37988             35
-#> 8832  VR2AR-546131     -5.612700     56.37988             35
-#> 8833  VR2AR-546131     -5.612700     56.37988             35
-#> 8834  VR2AR-546131     -5.612700     56.37988             35
-#> 8835  VR2AR-546131     -5.612700     56.37988             35
-#> 8836  VR2AR-546131     -5.612700     56.37988             35
-#> 8837  VR2AR-546131     -5.612700     56.37988             35
-#> 8838  VR2AR-546131     -5.612700     56.37988             35
-#> 8839  VR2AR-546131     -5.612700     56.37988             35
-#> 8840  VR2AR-546131     -5.612700     56.37988             35
-#> 8841  VR2AR-546131     -5.612700     56.37988             35
-#> 8842  VR2AR-546131     -5.612700     56.37988             35
-#> 8843  VR2AR-546131     -5.612700     56.37988             35
-#> 8844  VR2AR-546131     -5.612700     56.37988             35
-#> 8845  VR2AR-546131     -5.612700     56.37988             35
-#> 8846  VR2AR-546131     -5.612700     56.37988             35
-#> 8847  VR2AR-546131     -5.612700     56.37988             35
-#> 8848  VR2AR-546131     -5.612700     56.37988             35
-#> 8849  VR2AR-546131     -5.612700     56.37988             35
-#> 8850  VR2AR-546131     -5.612700     56.37988             35
-#> 8851  VR2AR-546131     -5.612700     56.37988             35
-#> 8852  VR2AR-546131     -5.612700     56.37988             35
-#> 8853  VR2AR-546131     -5.612700     56.37988             35
-#> 8854  VR2AR-546131     -5.612700     56.37988             35
-#> 8855  VR2AR-546131     -5.612700     56.37988             35
-#> 8856  VR2AR-546131     -5.612700     56.37988             35
-#> 8857  VR2AR-546131     -5.612700     56.37988             35
-#> 8858  VR2AR-546131     -5.612700     56.37988             35
-#> 8859  VR2AR-546131     -5.612700     56.37988             35
-#> 8860  VR2AR-546131     -5.612700     56.37988             35
-#> 8861  VR2AR-546131     -5.612700     56.37988             35
-#> 8862  VR2AR-546131     -5.612700     56.37988             35
-#> 8863  VR2AR-546131     -5.612700     56.37988             35
-#> 8864  VR2AR-546131     -5.612700     56.37988             35
-#> 8865  VR2AR-546131     -5.612700     56.37988             35
-#> 8866  VR2AR-546131     -5.612700     56.37988             35
-#> 8867  VR2AR-546131     -5.612700     56.37988             35
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-#> 8869  VR2AR-546131     -5.612700     56.37988             35
-#> 8870  VR2AR-546131     -5.612700     56.37988             35
-#> 8871  VR2AR-546131     -5.612700     56.37988             35
-#> 8872  VR2AR-546131     -5.612700     56.37988             35
-#> 8873  VR2AR-546131     -5.612700     56.37988             35
-#> 8874  VR2AR-546131     -5.612700     56.37988             35
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-#> 8876  VR2AR-546131     -5.612700     56.37988             35
-#> 8877  VR2AR-546131     -5.612700     56.37988             35
-#> 8878  VR2AR-546131     -5.612700     56.37988             35
-#> 8879  VR2AR-546131     -5.612700     56.37988             35
-#> 8880  VR2AR-546131     -5.612700     56.37988             35
-#> 8881  VR2AR-546131     -5.612700     56.37988             35
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-#> 8888  VR2AR-546131     -5.612700     56.37988             35
-#> 8889  VR2AR-546131     -5.612700     56.37988             35
-#> 8890  VR2AR-546131     -5.612700     56.37988             35
-#> 8891  VR2AR-546131     -5.612700     56.37988             35
-#> 8892  VR2AR-546131     -5.612700     56.37988             35
-#> 8893  VR2AR-546131     -5.612700     56.37988             35
-#> 8894  VR2AR-546131     -5.612700     56.37988             35
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-#> 8896  VR2AR-546131     -5.612700     56.37988             35
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-#> 8902  VR2AR-546131     -5.612700     56.37988             35
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-#> 8905  VR2AR-546131     -5.612700     56.37988             35
-#> 8906  VR2AR-546131     -5.612700     56.37988             35
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-#> 8908  VR2AR-546131     -5.612700     56.37988             35
-#> 8909  VR2AR-546131     -5.612700     56.37988             35
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-#> 8951  VR2AR-546131     -5.612700     56.37988             35
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-#> 8957  VR2AR-546135     -5.657067     56.38803             85
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-#> 8984  VR2AR-546134     -5.643867     56.38278            145
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-#> 8990  VR2AR-546134     -5.643867     56.38278            145
-#> 8991  VR2AR-546134     -5.643867     56.38278            145
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-#> 9039  VR2AR-546131     -5.612700     56.37988             35
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-#> 9048  VR2AR-546131     -5.612700     56.37988             35
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-#> 9341      VR2-5637     -5.692417     56.49913             25
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-#> 9343      VR2-5637     -5.692417     56.49913             25
-#> 9344  VR2AR-546133     -5.701717     56.49747             90
-#> 9345  VR2AR-546133     -5.701717     56.49747             90
-#> 9346      VR2-5637     -5.692417     56.49913             25
-#> 9347  VR2AR-546133     -5.701717     56.49747             90
-#> 9348      VR2-5637     -5.692417     56.49913             25
-#> 9349  VR2AR-546133     -5.701717     56.49747             90
-#> 9350  VR2AR-546133     -5.701717     56.49747             90
-#> 9351      VR2-5637     -5.692417     56.49913             25
-#> 9352  VR2AR-546133     -5.701717     56.49747             90
-#> 9353  VR2AR-546133     -5.701717     56.49747             90
-#> 9354  VR2AR-546133     -5.701717     56.49747             90
-#> 9355      VR2-5637     -5.692417     56.49913             25
-#> 9356  VR2AR-546133     -5.701717     56.49747             90
-#> 9357  VR2AR-546133     -5.701717     56.49747             90
-#> 9358  VR2AR-546133     -5.701717     56.49747             90
-#> 9359  VR2AR-546133     -5.701717     56.49747             90
-#> 9360  VR2AR-546133     -5.701717     56.49747             90
-#> 9361  VR2AR-546133     -5.701717     56.49747             90
-#> 9362  VR2AR-546133     -5.701717     56.49747             90
-#> 9363  VR2AR-546133     -5.701717     56.49747             90
-#> 9364  VR2AR-546133     -5.701717     56.49747             90
-#> 9365  VR2AR-546133     -5.701717     56.49747             90
-#> 9366  VR2AR-546133     -5.701717     56.49747             90
-#> 9367  VR2AR-546133     -5.701717     56.49747             90
-#> 9368  VR2AR-546133     -5.701717     56.49747             90
-#> 9369  VR2AR-546380     -5.637917     56.44800             25
-#> 9370  VR2AR-546380     -5.637917     56.44800             25
-#> 9371  VR2AR-546380     -5.637917     56.44800             25
-#> 9372  VR2AR-546380     -5.637917     56.44800             25
-#> 9373  VR2AR-546380     -5.637917     56.44800             25
-#> 9374  VR2AR-546380     -5.637917     56.44800             25
-#> 9375  VR2AR-546380     -5.637917     56.44800             25
-#> 9376  VR2AR-546380     -5.637917     56.44800             25
-#> 9377  VR2AR-546136     -5.626250     56.44810             75
-#> 9378  VR2AR-546136     -5.626250     56.44810             75
-#> 9379  VR2AR-546131     -5.612700     56.37988             35
-#> 9380  VR2AR-546131     -5.612700     56.37988             35
-#> 9381  VR2AR-546131     -5.612700     56.37988             35
-#> 9382  VR2AR-546131     -5.612700     56.37988             35
-#> 9383  VR2AR-546131     -5.612700     56.37988             35
-#> 9384  VR2AR-546131     -5.612700     56.37988             35
-#> 9385  VR2AR-546131     -5.612700     56.37988             35
-#> 9386  VR2AR-546131     -5.612700     56.37988             35
-#> 9387  VR2AR-546131     -5.612700     56.37988             35
-#> 9388  VR2AR-546131     -5.612700     56.37988             35
-#> 9389  VR2AR-546131     -5.612700     56.37988             35
-#> 9390  VR2AR-546584     -5.604973     56.37774             30
-#> 9391  VR2AR-546131     -5.612700     56.37988             35
-#> 9392  VR2AR-546131     -5.612700     56.37988             35
-#> 9393  VR2AR-546131     -5.612700     56.37988             35
-#> 9394  VR2AR-546131     -5.612700     56.37988             35
-#> 9395  VR2AR-546584     -5.604973     56.37774             30
-#> 9396  VR2AR-546131     -5.612700     56.37988             35
-#> 9397  VR2AR-546584     -5.604973     56.37774             30
-#> 9398  VR2AR-546584     -5.604973     56.37774             30
-#> 9399  VR2AR-546131     -5.612700     56.37988             35
-#> 9400  VR2AR-546584     -5.604973     56.37774             30
-#> 9401  VR2AR-546131     -5.612700     56.37988             35
-#> 9402  VR2AR-546584     -5.604973     56.37774             30
-#> 9403  VR2AR-546584     -5.604973     56.37774             30
-#> 9404  VR2AR-546131     -5.612700     56.37988             35
-#> 9405  VR2AR-546131     -5.612700     56.37988             35
-#> 9406  VR2AR-546131     -5.612700     56.37988             35
-#> 9407  VR2AR-546131     -5.612700     56.37988             35
-#> 9408  VR2AR-546584     -5.604973     56.37774             30
-#> 9409  VR2AR-546131     -5.612700     56.37988             35
-#> 9410  VR2AR-546584     -5.604973     56.37774             30
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-#> 9412  VR2AR-546131     -5.612700     56.37988             35
-#> 9413  VR2AR-546584     -5.604973     56.37774             30
-#> 9414  VR2AR-546131     -5.612700     56.37988             35
-#> 9415  VR2AR-546131     -5.612700     56.37988             35
-#> 9416  VR2AR-546131     -5.612700     56.37988             35
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-#> 9420  VR2AR-546131     -5.612700     56.37988             35
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-#> 9437  VR2AR-546131     -5.612700     56.37988             35
-#> 9438  VR2AR-546131     -5.612700     56.37988             35
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-#> 9440  VR2AR-546131     -5.612700     56.37988             35
-#> 9441  VR2AR-546131     -5.612700     56.37988             35
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-#> 9446  VR2AR-546131     -5.612700     56.37988             35
-#> 9447  VR2AR-546131     -5.612700     56.37988             35
-#> 9448  VR2AR-546131     -5.612700     56.37988             35
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-#> 9451  VR2AR-546131     -5.612700     56.37988             35
-#> 9452  VR2AR-546131     -5.612700     56.37988             35
-#> 9453  VR2AR-546131     -5.612700     56.37988             35
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-#> 9459  VR2AR-546131     -5.612700     56.37988             35
-#> 9460  VR2AR-546131     -5.612700     56.37988             35
-#> 9461  VR2AR-546131     -5.612700     56.37988             35
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-#> 9469  VR2AR-546131     -5.612700     56.37988             35
-#> 9470  VR2AR-546131     -5.612700     56.37988             35
-#> 9471  VR2AR-546131     -5.612700     56.37988             35
-#> 9472  VR2AR-546131     -5.612700     56.37988             35
-#> 9473  VR2AR-546131     -5.612700     56.37988             35
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-#> 9475  VR2AR-546131     -5.612700     56.37988             35
-#> 9476  VR2AR-546131     -5.612700     56.37988             35
-#> 9477  VR2AR-546131     -5.612700     56.37988             35
-#> 9478  VR2AR-546131     -5.612700     56.37988             35
-#> 9479  VR2AR-546131     -5.612700     56.37988             35
-#> 9480  VR2AR-546131     -5.612700     56.37988             35
-#> 9481  VR2AR-546131     -5.612700     56.37988             35
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-#> 9486  VR2AR-546131     -5.612700     56.37988             35
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-#> 9488  VR2AR-546131     -5.612700     56.37988             35
-#> 9489  VR2AR-546131     -5.612700     56.37988             35
-#> 9490  VR2AR-546131     -5.612700     56.37988             35
-#> 9491  VR2AR-546131     -5.612700     56.37988             35
-#> 9492  VR2AR-546131     -5.612700     56.37988             35
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-#> 9496  VR2AR-546131     -5.612700     56.37988             35
-#> 9497  VR2AR-546131     -5.612700     56.37988             35
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-#> 9499  VR2AR-546131     -5.612700     56.37988             35
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-#> 9501  VR2AR-546131     -5.612700     56.37988             35
-#> 9502  VR2AR-546131     -5.612700     56.37988             35
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-#> 9504  VR2AR-546131     -5.612700     56.37988             35
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-#> 9506  VR2AR-546131     -5.612700     56.37988             35
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-#> 9509  VR2AR-546131     -5.612700     56.37988             35
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-#> 9631  VR2AR-546131     -5.612700     56.37988             35
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-#> 9633  VR2AR-546131     -5.612700     56.37988             35
-#> 9634  VR2AR-546131     -5.612700     56.37988             35
-#> 9635  VR2AR-546131     -5.612700     56.37988             35
-#> 9636  VR2AR-546131     -5.612700     56.37988             35
-#> 9637  VR2AR-546131     -5.612700     56.37988             35
-#> 9638  VR2AR-546131     -5.612700     56.37988             35
-#> 9639  VR2AR-546131     -5.612700     56.37988             35
-#> 9640  VR2AR-546131     -5.612700     56.37988             35
-#> 9641  VR2AR-546131     -5.612700     56.37988             35
-#> 9642  VR2AR-546131     -5.612700     56.37988             35
-#> 9643  VR2AR-546131     -5.612700     56.37988             35
-#> 9644  VR2AR-546131     -5.612700     56.37988             35
-#> 9645  VR2AR-546131     -5.612700     56.37988             35
-#> 9646  VR2AR-546131     -5.612700     56.37988             35
-#> 9647  VR2AR-546131     -5.612700     56.37988             35
-#> 9648  VR2AR-546131     -5.612700     56.37988             35
-#> 9649  VR2AR-546131     -5.612700     56.37988             35
-#> 9650  VR2AR-546131     -5.612700     56.37988             35
-#> 9651  VR2AR-546131     -5.612700     56.37988             35
-#> 9652  VR2AR-546131     -5.612700     56.37988             35
-#> 9653  VR2AR-546131     -5.612700     56.37988             35
-#> 9654  VR2AR-546131     -5.612700     56.37988             35
-#> 9655  VR2AR-546131     -5.612700     56.37988             35
-#> 9656  VR2AR-546131     -5.612700     56.37988             35
-#> 9657  VR2AR-546131     -5.612700     56.37988             35
-#> 9658  VR2AR-546131     -5.612700     56.37988             35
-#> 9659  VR2AR-546131     -5.612700     56.37988             35
-#> 9660  VR2AR-546131     -5.612700     56.37988             35
-#> 9661  VR2AR-546131     -5.612700     56.37988             35
-#> 9662  VR2AR-546131     -5.612700     56.37988             35
-#> 9663  VR2AR-546131     -5.612700     56.37988             35
-#> 9664  VR2AR-546131     -5.612700     56.37988             35
-#> 9665  VR2AR-546131     -5.612700     56.37988             35
-#> 9666  VR2AR-546131     -5.612700     56.37988             35
-#> 9667  VR2AR-546131     -5.612700     56.37988             35
-#> 9668  VR2AR-546131     -5.612700     56.37988             35
-#> 9669  VR2AR-546131     -5.612700     56.37988             35
-#> 9670  VR2AR-546131     -5.612700     56.37988             35
-#> 9671  VR2AR-546131     -5.612700     56.37988             35
-#> 9672  VR2AR-546131     -5.612700     56.37988             35
-#> 9673  VR2AR-546131     -5.612700     56.37988             35
-#> 9674  VR2AR-546131     -5.612700     56.37988             35
-#> 9675  VR2AR-546131     -5.612700     56.37988             35
-#> 9676  VR2AR-546131     -5.612700     56.37988             35
-#> 9677  VR2AR-546131     -5.612700     56.37988             35
-#> 9678  VR2AR-546131     -5.612700     56.37988             35
-#> 9679  VR2AR-546131     -5.612700     56.37988             35
-#> 9680  VR2AR-546131     -5.612700     56.37988             35
-#> 9681  VR2AR-546131     -5.612700     56.37988             35
-#> 9682  VR2AR-546131     -5.612700     56.37988             35
-#> 9683  VR2AR-546131     -5.612700     56.37988             35
-#> 9684  VR2AR-546131     -5.612700     56.37988             35
-#> 9685  VR2AR-546131     -5.612700     56.37988             35
-#> 9686  VR2AR-546131     -5.612700     56.37988             35
-#> 9687  VR2AR-546131     -5.612700     56.37988             35
-#> 9688  VR2AR-546131     -5.612700     56.37988             35
-#> 9689  VR2AR-546584     -5.604973     56.37774             30
-#> 9690  VR2AR-546131     -5.612700     56.37988             35
-#> 9691  VR2AR-546584     -5.604973     56.37774             30
-#> 9692  VR2AR-546131     -5.612700     56.37988             35
-#> 9693  VR2AR-546131     -5.612700     56.37988             35
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-#> 9695  VR2AR-546131     -5.612700     56.37988             35
-#> 9696  VR2AR-546584     -5.604973     56.37774             30
-#> 9697  VR2AR-546131     -5.612700     56.37988             35
-#> 9698  VR2AR-546131     -5.612700     56.37988             35
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-#> 9700  VR2AR-546131     -5.612700     56.37988             35
-#> 9701  VR2AR-546584     -5.604973     56.37774             30
-#> 9702  VR2AR-546584     -5.604973     56.37774             30
-#> 9703  VR2AR-546131     -5.612700     56.37988             35
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-#> 9705  VR2AR-546584     -5.604973     56.37774             30
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-#> 9707  VR2AR-546131     -5.612700     56.37988             35
-#> 9708  VR2AR-546131     -5.612700     56.37988             35
-#> 9709  VR2AR-546584     -5.604973     56.37774             30
-#> 9710  VR2AR-546584     -5.604973     56.37774             30
-#> 9711  VR2AR-546131     -5.612700     56.37988             35
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-#> 9713  VR2AR-546584     -5.604973     56.37774             30
-#> 9714  VR2AR-546584     -5.604973     56.37774             30
-#> 9715  VR2AR-546584     -5.604973     56.37774             30
-#> 9716  VR2AR-546584     -5.604973     56.37774             30
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-#> 9718  VR2AR-546131     -5.612700     56.37988             35
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-#> 9722  VR2AR-546584     -5.604973     56.37774             30
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-#> 9724  VR2AR-546131     -5.612700     56.37988             35
-#> 9725  VR2AR-546131     -5.612700     56.37988             35
-#> 9726  VR2AR-546131     -5.612700     56.37988             35
-#> 9727  VR2AR-546131     -5.612700     56.37988             35
-#> 9728  VR2AR-546131     -5.612700     56.37988             35
-#> 9729  VR2AR-546131     -5.612700     56.37988             35
-#> 9730  VR2AR-546584     -5.604973     56.37774             30
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-#> 9732  VR2AR-546584     -5.604973     56.37774             30
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-#> 9734  VR2AR-546131     -5.612700     56.37988             35
-#> 9735  VR2AR-546131     -5.612700     56.37988             35
-#> 9736  VR2AR-546131     -5.612700     56.37988             35
-#> 9737  VR2AR-546131     -5.612700     56.37988             35
-#> 9738  VR2AR-546131     -5.612700     56.37988             35
-#> 9739  VR2AR-546131     -5.612700     56.37988             35
-#> 9740  VR2AR-546131     -5.612700     56.37988             35
-#> 9741  VR2AR-546131     -5.612700     56.37988             35
-#> 9742  VR2AR-546131     -5.612700     56.37988             35
-#> 9743  VR2AR-546131     -5.612700     56.37988             35
-#> 9744  VR2AR-546131     -5.612700     56.37988             35
-#> 9745  VR2AR-546131     -5.612700     56.37988             35
-#> 9746  VR2AR-546131     -5.612700     56.37988             35
-#> 9747  VR2AR-546131     -5.612700     56.37988             35
-#> 9748  VR2AR-546131     -5.612700     56.37988             35
-#> 9749  VR2AR-546131     -5.612700     56.37988             35
-#> 9750  VR2AR-546380     -5.637917     56.44800             25
-#> 9751  VR2AR-546380     -5.637917     56.44800             25
-#> 9752  VR2AR-546380     -5.637917     56.44800             25
-#> 9753  VR2AR-546136     -5.626250     56.44810             75
-#> 9754  VR2AR-546136     -5.626250     56.44810             75
-#> 9755  VR2AR-546380     -5.637917     56.44800             25
-#> 9756  VR2AR-546380     -5.637917     56.44800             25
-#> 9757  VR2AR-546380     -5.637917     56.44800             25
-#> 9758  VR2AR-546380     -5.637917     56.44800             25
-#> 9759  VR2AR-546380     -5.637917     56.44800             25
-#> 9760  VR2AR-546380     -5.637917     56.44800             25
-#> 9761  VR2AR-546380     -5.637917     56.44800             25
-#> 9762  VR2AR-546380     -5.637917     56.44800             25
-#> 9763  VR2AR-546380     -5.637917     56.44800             25
-#> 9764  VR2AR-546380     -5.637917     56.44800             25
-#> 9765  VR2AR-546380     -5.637917     56.44800             25
-#> 9766  VR2AR-546380     -5.637917     56.44800             25
-#> 9767  VR2AR-546380     -5.637917     56.44800             25
-#> 9768  VR2AR-546380     -5.637917     56.44800             25
-#> 9769  VR2AR-546380     -5.637917     56.44800             25
-#> 9770  VR2AR-546380     -5.637917     56.44800             25
-#> 9771  VR2AR-546380     -5.637917     56.44800             25
-#> 9772  VR2AR-546380     -5.637917     56.44800             25
-#> 9773  VR2AR-546380     -5.637917     56.44800             25
-#> 9774  VR2AR-546380     -5.637917     56.44800             25
-#> 9775  VR2AR-546380     -5.637917     56.44800             25
-#> 9776  VR2AR-546380     -5.637917     56.44800             25
-#> 9777  VR2AR-546134     -5.643867     56.38278            145
-#> 9778  VR2AR-546134     -5.643867     56.38278            145
-#> 9779  VR2AR-546134     -5.643867     56.38278            145
-#> 9780  VR2AR-546134     -5.643867     56.38278            145
-#> 9781  VR2AR-546134     -5.643867     56.38278            145
-#> 9782  VR2AR-546134     -5.643867     56.38278            145
-#> 9783  VR2AR-546134     -5.643867     56.38278            145
-#> 9784  VR2AR-546134     -5.643867     56.38278            145
-#> 9785  VR2AR-546134     -5.643867     56.38278            145
-#> 9786  VR2AR-546134     -5.643867     56.38278            145
-#> 9787  VR2AR-546134     -5.643867     56.38278            145
-#> 9788  VR2AR-546134     -5.643867     56.38278            145
-#> 9789  VR2AR-546134     -5.643867     56.38278            145
-#> 9790  VR2AR-546134     -5.643867     56.38278            145
-#> 9791  VR2AR-546131     -5.612700     56.37988             35
-#> 9792  VR2AR-546131     -5.612700     56.37988             35
-#> 9793  VR2AR-546131     -5.612700     56.37988             35
-#> 9794  VR2AR-546131     -5.612700     56.37988             35
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-#> 9796  VR2AR-546131     -5.612700     56.37988             35
-#> 9797  VR2AR-546131     -5.612700     56.37988             35
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-#> 9800  VR2AR-546131     -5.612700     56.37988             35
-#> 9801  VR2AR-546131     -5.612700     56.37988             35
-#> 9802  VR2AR-546131     -5.612700     56.37988             35
-#> 9803  VR2AR-546131     -5.612700     56.37988             35
-#> 9804  VR2AR-546131     -5.612700     56.37988             35
-#> 9805  VR2AR-546131     -5.612700     56.37988             35
-#> 9806  VR2AR-546131     -5.612700     56.37988             35
-#> 9807  VR2AR-546131     -5.612700     56.37988             35
-#> 9808  VR2AR-546131     -5.612700     56.37988             35
-#> 9809  VR2AR-546131     -5.612700     56.37988             35
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-#> 9814  VR2AR-546131     -5.612700     56.37988             35
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-#> 9920  VR2AR-546131     -5.612700     56.37988             35
-#> 9921  VR2AR-546131     -5.612700     56.37988             35
-#> 9922  VR2AR-546131     -5.612700     56.37988             35
-#> 9923  VR2AR-546134     -5.643867     56.38278            145
-#> 9924  VR2AR-546134     -5.643867     56.38278            145
-#> 9925  VR2AR-546134     -5.643867     56.38278            145
-#> 9926  VR2AR-546134     -5.643867     56.38278            145
-#> 9927  VR2AR-546134     -5.643867     56.38278            145
-#> 9928  VR2AR-546134     -5.643867     56.38278            145
-#> 9929  VR2AR-546134     -5.643867     56.38278            145
-#> 9930  VR2AR-546134     -5.643867     56.38278            145
-#> 9931  VR2AR-546134     -5.643867     56.38278            145
-#> 9932  VR2AR-546134     -5.643867     56.38278            145
-#> 9933  VR2AR-546134     -5.643867     56.38278            145
-#> 9934  VR2AR-546134     -5.643867     56.38278            145
-#> 9935  VR2AR-546134     -5.643867     56.38278            145
-#> 9936  VR2AR-546134     -5.643867     56.38278            145
-#> 9937  VR2AR-546135     -5.657067     56.38803             85
-#> 9938  VR2AR-546135     -5.657067     56.38803             85
-#> 9939  VR2AR-546135     -5.657067     56.38803             85
-#> 9940  VR2AR-546135     -5.657067     56.38803             85
-#> 9941  VR2AR-546587     -5.661620     56.39041             15
-#> 9942  VR2AR-546135     -5.657067     56.38803             85
-#> 9943  VR2AR-546587     -5.661620     56.39041             15
-#> 9944  VR2AR-546135     -5.657067     56.38803             85
-#> 9945  VR2AR-546587     -5.661620     56.39041             15
-#> 9946  VR2AR-546587     -5.661620     56.39041             15
-#> 9947  VR2AR-546587     -5.661620     56.39041             15
-#> 9948  VR2AR-546587     -5.661620     56.39041             15
-#> 9949  VR2AR-546587     -5.661620     56.39041             15
-#> 9950  VR2AR-546587     -5.661620     56.39041             15
-#> 9951  VR2AR-546587     -5.661620     56.39041             15
-#> 9952  VR2AR-546587     -5.661620     56.39041             15
-#> 9953  VR2AR-546587     -5.661620     56.39041             15
-#> 9954  VR2AR-546587     -5.661620     56.39041             15
-#> 9955  VR2AR-546587     -5.661620     56.39041             15
-#> 9956  VR2AR-546587     -5.661620     56.39041             15
-#> 9957  VR2AR-546135     -5.657067     56.38803             85
-#> 9958  VR2AR-546587     -5.661620     56.39041             15
-#> 9959  VR2AR-546587     -5.661620     56.39041             15
-#> 9960  VR2AR-546587     -5.661620     56.39041             15
-#> 9961  VR2AR-546587     -5.661620     56.39041             15
-#> 9962  VR2AR-546135     -5.657067     56.38803             85
-#> 9963  VR2AR-546587     -5.661620     56.39041             15
-#> 9964  VR2AR-546587     -5.661620     56.39041             15
-#> 9965  VR2AR-546135     -5.657067     56.38803             85
-#> 9966  VR2AR-546587     -5.661620     56.39041             15
-#> 9967  VR2AR-546131     -5.612700     56.37988             35
-#> 9968  VR2AR-546131     -5.612700     56.37988             35
-#> 9969  VR2AR-546131     -5.612700     56.37988             35
-#> 9970  VR2AR-546131     -5.612700     56.37988             35
-#> 9971  VR2AR-546131     -5.612700     56.37988             35
-#> 9972  VR2AR-546131     -5.612700     56.37988             35
-#> 9973  VR2AR-546131     -5.612700     56.37988             35
-#> 9974  VR2AR-546131     -5.612700     56.37988             35
-#> 9975  VR2AR-546131     -5.612700     56.37988             35
-#> 9976  VR2AR-546131     -5.612700     56.37988             35
-#> 9977  VR2AR-546131     -5.612700     56.37988             35
-#> 9978  VR2AR-546131     -5.612700     56.37988             35
-#> 9979  VR2AR-546131     -5.612700     56.37988             35
-#> 9980  VR2AR-546131     -5.612700     56.37988             35
-#> 9981  VR2AR-546131     -5.612700     56.37988             35
-#> 9982  VR2AR-546131     -5.612700     56.37988             35
-#> 9983  VR2AR-546131     -5.612700     56.37988             35
-#> 9984  VR2AR-546131     -5.612700     56.37988             35
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-#> 9986  VR2AR-546131     -5.612700     56.37988             35
-#> 9987  VR2AR-546131     -5.612700     56.37988             35
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-#> 9989  VR2AR-546131     -5.612700     56.37988             35
-#> 9990  VR2AR-546131     -5.612700     56.37988             35
-#> 9991  VR2AR-546131     -5.612700     56.37988             35
-#> 9992  VR2AR-546131     -5.612700     56.37988             35
-#> 9993  VR2AR-546131     -5.612700     56.37988             35
-#> 9994  VR2AR-546131     -5.612700     56.37988             35
-#> 9995  VR2AR-546131     -5.612700     56.37988             35
-#> 9996  VR2AR-546131     -5.612700     56.37988             35
-#> 9997  VR2AR-546131     -5.612700     56.37988             35
-#> 9998  VR2AR-546131     -5.612700     56.37988             35
-#> 9999  VR2AR-546131     -5.612700     56.37988             35
-#> 10000 VR2AR-546131     -5.612700     56.37988             35
-#> 10001 VR2AR-546131     -5.612700     56.37988             35
-#> 10002 VR2AR-546131     -5.612700     56.37988             35
-#> 10003 VR2AR-546131     -5.612700     56.37988             35
-#> 10004 VR2AR-546131     -5.612700     56.37988             35
-#> 10005 VR2AR-546131     -5.612700     56.37988             35
-#> 10006 VR2AR-546131     -5.612700     56.37988             35
-#> 10007 VR2AR-546131     -5.612700     56.37988             35
-#> 10008 VR2AR-546131     -5.612700     56.37988             35
-#> 10009 VR2AR-546131     -5.612700     56.37988             35
-#> 10010 VR2AR-546131     -5.612700     56.37988             35
-#> 10011 VR2AR-546131     -5.612700     56.37988             35
-#> 10012 VR2AR-546131     -5.612700     56.37988             35
-#> 10013 VR2AR-546131     -5.612700     56.37988             35
-#> 10014 VR2AR-546131     -5.612700     56.37988             35
-#> 10015 VR2AR-546131     -5.612700     56.37988             35
-#> 10016 VR2AR-546131     -5.612700     56.37988             35
-#> 10017 VR2AR-546131     -5.612700     56.37988             35
-#> 10018 VR2AR-546131     -5.612700     56.37988             35
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-#> 10020 VR2AR-546131     -5.612700     56.37988             35
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-#> 10027 VR2AR-546131     -5.612700     56.37988             35
-#> 10028 VR2AR-546380     -5.637917     56.44800             25
-#> 10029 VR2AR-546380     -5.637917     56.44800             25
-#> 10030 VR2AR-546380     -5.637917     56.44800             25
-#> 10031 VR2AR-546380     -5.637917     56.44800             25
-#> 10032 VR2AR-546380     -5.637917     56.44800             25
-#> 10033 VR2AR-546380     -5.637917     56.44800             25
-#> 10034 VR2AR-546380     -5.637917     56.44800             25
-#> 10035 VR2AR-546380     -5.637917     56.44800             25
-#> 10036 VR2AR-546136     -5.626250     56.44810             75
-#> 10037 VR2AR-546136     -5.626250     56.44810             75
-#> 10038 VR2AR-546136     -5.626250     56.44810             75
-#> 10039 VR2AR-546136     -5.626250     56.44810             75
-#> 10040 VR2AR-546136     -5.626250     56.44810             75
-#> 10041 VR2AR-546136     -5.626250     56.44810             75
-#> 10042 VR2AR-546133     -5.701717     56.49747             90
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-#> 10069 VR2AR-546133     -5.701717     56.49747             90
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-#> 10090 VR2AR-546586     -5.707092     56.49447             20
-#> 10091 VR2AR-546133     -5.701717     56.49747             90
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-#> 10094 VR2AR-546133     -5.701717     56.49747             90
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-#> 10101 VR2AR-546586     -5.707092     56.49447             20
-#> 10102 VR2AR-546586     -5.707092     56.49447             20
-#> 10103 VR2AR-546133     -5.701717     56.49747             90
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-#> 10109 VR2AR-546586     -5.707092     56.49447             20
-#> 10110 VR2AR-546586     -5.707092     56.49447             20
-#> 10111 VR2AR-546586     -5.707092     56.49447             20
-#> 10112 VR2AR-546133     -5.701717     56.49747             90
-#> 10113 VR2AR-546586     -5.707092     56.49447             20
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-#> 10118 VR2AR-546133     -5.701717     56.49747             90
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-#> 10120 VR2AR-546586     -5.707092     56.49447             20
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-#> 10122 VR2AR-546133     -5.701717     56.49747             90
-#> 10123 VR2AR-546586     -5.707092     56.49447             20
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-#> 10127 VR2AR-546586     -5.707092     56.49447             20
-#> 10128 VR2AR-546586     -5.707092     56.49447             20
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-#> 10133 VR2AR-546133     -5.701717     56.49747             90
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-#> 10135 VR2AR-546133     -5.701717     56.49747             90
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-#> 10161 VR2AR-546586     -5.707092     56.49447             20
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-#> 10163 VR2AR-546133     -5.701717     56.49747             90
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-#> 10169 VR2AR-546133     -5.701717     56.49747             90
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-#> 10216 VR2AR-546133     -5.701717     56.49747             90
-#> 10217 VR2AR-546133     -5.701717     56.49747             90
-#> 10218 VR2AR-546133     -5.701717     56.49747             90
-#> 10219 VR2AR-546133     -5.701717     56.49747             90
-#> 10220 VR2AR-546133     -5.701717     56.49747             90
-#> 10221 VR2AR-546133     -5.701717     56.49747             90
-#> 10222 VR2AR-546133     -5.701717     56.49747             90
-#> 10223 VR2AR-546133     -5.701717     56.49747             90
-#> 10224 VR2AR-546133     -5.701717     56.49747             90
-#> 10225 VR2AR-546133     -5.701717     56.49747             90
-#> 10226 VR2AR-546133     -5.701717     56.49747             90
-#> 10227 VR2AR-546133     -5.701717     56.49747             90
-#> 10228 VR2AR-546133     -5.701717     56.49747             90
-#> 10229 VR2AR-546133     -5.701717     56.49747             90
-#> 10230 VR2AR-546133     -5.701717     56.49747             90
-#> 10231 VR2AR-546133     -5.701717     56.49747             90
-#> 10232 VR2AR-546133     -5.701717     56.49747             90
-#> 10233 VR2AR-546133     -5.701717     56.49747             90
-#> 10234 VR2AR-546133     -5.701717     56.49747             90
-#> 10235 VR2AR-546133     -5.701717     56.49747             90
-#> 10236 VR2AR-546133     -5.701717     56.49747             90
-#> 10237 VR2AR-546133     -5.701717     56.49747             90
-#> 10238 VR2AR-546133     -5.701717     56.49747             90
-#> 10239 VR2AR-546133     -5.701717     56.49747             90
-#> 10240 VR2AR-546133     -5.701717     56.49747             90
-#> 10241 VR2AR-546133     -5.701717     56.49747             90
-#> 10242 VR2AR-546133     -5.701717     56.49747             90
-#> 10243 VR2AR-546133     -5.701717     56.49747             90
-#> 10244 VR2AR-546133     -5.701717     56.49747             90
-#> 10245 VR2AR-546133     -5.701717     56.49747             90
-#> 10246 VR2AR-546133     -5.701717     56.49747             90
-#> 10247 VR2AR-546133     -5.701717     56.49747             90
-#> 10248 VR2AR-546133     -5.701717     56.49747             90
-#> 10249 VR2AR-546133     -5.701717     56.49747             90
-#> 10250 VR2AR-546133     -5.701717     56.49747             90
-#> 10251 VR2AR-546133     -5.701717     56.49747             90
-#> 10252 VR2AR-546133     -5.701717     56.49747             90
-#> 10253 VR2AR-546133     -5.701717     56.49747             90
-#> 10254 VR2AR-546133     -5.701717     56.49747             90
-#> 10255 VR2AR-546133     -5.701717     56.49747             90
-#> 10256 VR2AR-546133     -5.701717     56.49747             90
-#> 10257 VR2AR-546586     -5.707092     56.49447             20
-#> 10258 VR2AR-546133     -5.701717     56.49747             90
-#> 10259 VR2AR-546133     -5.701717     56.49747             90
-#> 10260 VR2AR-546133     -5.701717     56.49747             90
-#> 10261 VR2AR-546586     -5.707092     56.49447             20
-#> 10262 VR2AR-546133     -5.701717     56.49747             90
-#> 10263 VR2AR-546133     -5.701717     56.49747             90
-#> 10264 VR2AR-546133     -5.701717     56.49747             90
-#> 10265 VR2AR-546586     -5.707092     56.49447             20
-#> 10266 VR2AR-546133     -5.701717     56.49747             90
-#> 10267 VR2AR-546133     -5.701717     56.49747             90
-#> 10268 VR2AR-546133     -5.701717     56.49747             90
-#> 10269 VR2AR-546586     -5.707092     56.49447             20
-#> 10270 VR2AR-546133     -5.701717     56.49747             90
-#> 10271 VR2AR-546133     -5.701717     56.49747             90
-#> 10272 VR2AR-546133     -5.701717     56.49747             90
-#> 10273 VR2AR-546133     -5.701717     56.49747             90
-#> 10274 VR2AR-546133     -5.701717     56.49747             90
-#> 10275     VR2-5637     -5.692417     56.49913             25
-#> 10276     VR2-5637     -5.692417     56.49913             25
-#> 10277     VR2-5637     -5.692417     56.49913             25
-#> 10278     VR2-5637     -5.692417     56.49913             25
-#> 10279 VR2AR-546133     -5.701717     56.49747             90
-#> 10280 VR2AR-546133     -5.701717     56.49747             90
-#> 10281 VR2AR-546133     -5.701717     56.49747             90
-#> 10282 VR2AR-546133     -5.701717     56.49747             90
-#> 10283 VR2AR-546133     -5.701717     56.49747             90
-#> 10284 VR2AR-546133     -5.701717     56.49747             90
-#> 10285 VR2AR-546136     -5.626250     56.44810             75
-#> 10286 VR2AR-546136     -5.626250     56.44810             75
-#> 10287 VR2AR-546136     -5.626250     56.44810             75
-#> 10288 VR2AR-546136     -5.626250     56.44810             75
-#> 10289 VR2AR-546136     -5.626250     56.44810             75
-#> 10290 VR2AR-546136     -5.626250     56.44810             75
-#> 10291 VR2AR-546131     -5.612700     56.37988             35
-#> 10292 VR2AR-546131     -5.612700     56.37988             35
-#> 10293 VR2AR-546131     -5.612700     56.37988             35
-#> 10294 VR2AR-546131     -5.612700     56.37988             35
-#> 10295 VR2AR-546131     -5.612700     56.37988             35
-#> 10296 VR2AR-546131     -5.612700     56.37988             35
-#> 10297 VR2AR-546131     -5.612700     56.37988             35
-#> 10298 VR2AR-546131     -5.612700     56.37988             35
-#> 10299 VR2AR-546131     -5.612700     56.37988             35
-#> 10300 VR2AR-546131     -5.612700     56.37988             35
-#> 10301 VR2AR-546131     -5.612700     56.37988             35
-#> 10302 VR2AR-546131     -5.612700     56.37988             35
-#> 10303 VR2AR-546131     -5.612700     56.37988             35
-#> 10304 VR2AR-546131     -5.612700     56.37988             35
-#> 10305 VR2AR-546131     -5.612700     56.37988             35
-#> 10306 VR2AR-546131     -5.612700     56.37988             35
-#> 10307 VR2AR-546131     -5.612700     56.37988             35
-#> 10308 VR2AR-546131     -5.612700     56.37988             35
-#> 10309 VR2AR-546131     -5.612700     56.37988             35
-#> 10310 VR2AR-546131     -5.612700     56.37988             35
-#> 10311 VR2AR-546131     -5.612700     56.37988             35
-#> 10312 VR2AR-546131     -5.612700     56.37988             35
-#> 10313 VR2AR-546131     -5.612700     56.37988             35
-#> 10314 VR2AR-546131     -5.612700     56.37988             35
-#> 10315 VR2AR-546131     -5.612700     56.37988             35
-#> 10316 VR2AR-546131     -5.612700     56.37988             35
-#> 10317 VR2AR-546131     -5.612700     56.37988             35
-#> 10318 VR2AR-546131     -5.612700     56.37988             35
-#> 10319 VR2AR-546131     -5.612700     56.37988             35
-#> 10320 VR2AR-546131     -5.612700     56.37988             35
-#> 10321 VR2AR-546131     -5.612700     56.37988             35
-#> 10322 VR2AR-546131     -5.612700     56.37988             35
-#> 10323 VR2AR-546131     -5.612700     56.37988             35
-#> 10324 VR2AR-546131     -5.612700     56.37988             35
-#> 10325 VR2AR-546131     -5.612700     56.37988             35
-#> 10326 VR2AR-546131     -5.612700     56.37988             35
-#> 10327 VR2AR-546131     -5.612700     56.37988             35
-#> 10328 VR2AR-546131     -5.612700     56.37988             35
-#> 10329 VR2AR-546131     -5.612700     56.37988             35
-#> 10330 VR2AR-546131     -5.612700     56.37988             35
-#> 10331 VR2AR-546131     -5.612700     56.37988             35
-#> 10332 VR2AR-546131     -5.612700     56.37988             35
-#> 10333 VR2AR-546131     -5.612700     56.37988             35
-#> 10334 VR2AR-546131     -5.612700     56.37988             35
-#> 10335 VR2AR-546131     -5.612700     56.37988             35
-#> 10336 VR2AR-546131     -5.612700     56.37988             35
-#> 10337 VR2AR-546131     -5.612700     56.37988             35
-#> 10338 VR2AR-546131     -5.612700     56.37988             35
-#> 10339 VR2AR-546131     -5.612700     56.37988             35
-#> 10340 VR2AR-546380     -5.637917     56.44800             25
-#> 10341 VR2AR-546380     -5.637917     56.44800             25
-#> 10342 VR2AR-546136     -5.626250     56.44810             75
-#> 10343 VR2AR-546136     -5.626250     56.44810             75
-#> 10344 VR2AR-546380     -5.637917     56.44800             25
-#> 10345 VR2AR-546380     -5.637917     56.44800             25
-#> 10346 VR2AR-546134     -5.643867     56.38278            145
-#> 10347 VR2AR-546134     -5.643867     56.38278            145
-#> 10348 VR2AR-546134     -5.643867     56.38278            145
-#> 10349 VR2AR-546134     -5.643867     56.38278            145
-#> 10350 VR2AR-546134     -5.643867     56.38278            145
-#> 10351 VR2AR-546134     -5.643867     56.38278            145
-#> 10352 VR2AR-546134     -5.643867     56.38278            145
-#> 10353 VR2AR-546134     -5.643867     56.38278            145
-#> 10354 VR2AR-546134     -5.643867     56.38278            145
-#> 10355 VR2AR-546134     -5.643867     56.38278            145
-#> 10356 VR2AR-546134     -5.643867     56.38278            145
-#> 10357 VR2AR-546134     -5.643867     56.38278            145
-#> 10358 VR2AR-546134     -5.643867     56.38278            145
-#> 10359 VR2AR-546134     -5.643867     56.38278            145
-#> 10360 VR2AR-546134     -5.643867     56.38278            145
-#> 10361 VR2AR-546134     -5.643867     56.38278            145
-#> 10362 VR2AR-546134     -5.643867     56.38278            145
-#> 10363 VR2AR-546134     -5.643867     56.38278            145
-#> 10364 VR2AR-546134     -5.643867     56.38278            145
-#> 10365 VR2AR-546134     -5.643867     56.38278            145
-#> 10366 VR2AR-546134     -5.643867     56.38278            145
-#> 10367 VR2AR-546134     -5.643867     56.38278            145
-#> 10368 VR2AR-546134     -5.643867     56.38278            145
-#> 10369 VR2AR-546134     -5.643867     56.38278            145
-#> 10370 VR2AR-546134     -5.643867     56.38278            145
-#> 10371 VR2AR-546134     -5.643867     56.38278            145
-#> 10372 VR2AR-546134     -5.643867     56.38278            145
-#> 10373 VR2AR-546134     -5.643867     56.38278            145
-#> 10374 VR2AR-546134     -5.643867     56.38278            145
-#> 10375 VR2AR-546134     -5.643867     56.38278            145
-#> 10376 VR2AR-546134     -5.643867     56.38278            145
-#> 10377 VR2AR-546134     -5.643867     56.38278            145
-#> 10378 VR2AR-546134     -5.643867     56.38278            145
-#> 10379 VR2AR-546134     -5.643867     56.38278            145
-#> 10380 VR2AR-546134     -5.643867     56.38278            145
-#> 10381 VR2AR-546134     -5.643867     56.38278            145
-#> 10382 VR2AR-546134     -5.643867     56.38278            145
-#> 10383 VR2AR-546585     -5.623995     56.37436             75
-#> 10384 VR2AR-546585     -5.623995     56.37436             75
-#> 10385 VR2AR-546585     -5.623995     56.37436             75
-#> 10386 VR2AR-546585     -5.623995     56.37436             75
-#> 10387 VR2AR-546585     -5.623995     56.37436             75
-#> 10388 VR2AR-546585     -5.623995     56.37436             75
-#> 10389 VR2AR-546585     -5.623995     56.37436             75
-#> 10390 VR2AR-546585     -5.623995     56.37436             75
-#> 10391 VR2AR-546585     -5.623995     56.37436             75
-#> 10392 VR2AR-546585     -5.623995     56.37436             75
-#> 10393 VR2AR-546585     -5.623995     56.37436             75
-#> 10394 VR2AR-546585     -5.623995     56.37436             75
-#> 10395 VR2AR-546585     -5.623995     56.37436             75
-#> 10396 VR2AR-546585     -5.623995     56.37436             75
-#> 10397 VR2AR-546585     -5.623995     56.37436             75
-#> 10398 VR2AR-546585     -5.623995     56.37436             75
-#> 10399 VR2AR-546585     -5.623995     56.37436             75
-#> 10400 VR2AR-546585     -5.623995     56.37436             75
-#> 10401 VR2AR-546585     -5.623995     56.37436             75
-#> 10402 VR2AR-546585     -5.623995     56.37436             75
-#> 10403 VR2AR-546585     -5.623995     56.37436             75
-#> 10404  VR2W-108158     -5.619533     56.37413             25
-#> 10405  VR2W-108158     -5.619533     56.37413             25
-#> 10406 VR2AR-546585     -5.623995     56.37436             75
-#> 10407  VR2W-108158     -5.619533     56.37413             25
-#> 10408 VR2AR-546585     -5.623995     56.37436             75
-#> 10409 VR2AR-546585     -5.623995     56.37436             75
-#> 10410 VR2AR-546585     -5.623995     56.37436             75
-#> 10411  VR2W-108158     -5.619533     56.37413             25
-#> 10412  VR2W-108158     -5.619533     56.37413             25
-#> 10413  VR2W-108158     -5.619533     56.37413             25
-#> 10414  VR2W-108158     -5.619533     56.37413             25
-#> 10415  VR2W-108158     -5.619533     56.37413             25
-#> 10416  VR2W-108158     -5.619533     56.37413             25
-#> 10417 VR2AR-546585     -5.623995     56.37436             75
-#> 10418  VR2W-108158     -5.619533     56.37413             25
-#> 10419  VR2W-108158     -5.619533     56.37413             25
-#> 10420  VR2W-108158     -5.619533     56.37413             25
-#> 10421 VR2AR-546585     -5.623995     56.37436             75
-#> 10422  VR2W-108158     -5.619533     56.37413             25
-#> 10423  VR2W-108158     -5.619533     56.37413             25
-#> 10424  VR2W-108158     -5.619533     56.37413             25
-#> 10425  VR2W-108158     -5.619533     56.37413             25
-#> 10426  VR2W-108158     -5.619533     56.37413             25
-#> 10427  VR2W-108158     -5.619533     56.37413             25
-#> 10428 VR2AR-546585     -5.623995     56.37436             75
-#> 10429  VR2W-108158     -5.619533     56.37413             25
-#> 10430  VR2W-108158     -5.619533     56.37413             25
-#> 10431 VR2AR-546585     -5.623995     56.37436             75
-#> 10432  VR2W-108158     -5.619533     56.37413             25
-#> 10433 VR2AR-546585     -5.623995     56.37436             75
-#> 10434  VR2W-108158     -5.619533     56.37413             25
-#> 10435  VR2W-108158     -5.619533     56.37413             25
-#> 10436 VR2AR-546585     -5.623995     56.37436             75
-#> 10437  VR2W-108158     -5.619533     56.37413             25
-#> 10438  VR2W-108158     -5.619533     56.37413             25
-#> 10439  VR2W-108158     -5.619533     56.37413             25
-#> 10440 VR2AR-546585     -5.623995     56.37436             75
-#> 10441  VR2W-108158     -5.619533     56.37413             25
-#> 10442 VR2AR-546585     -5.623995     56.37436             75
-#> 10443  VR2W-108158     -5.619533     56.37413             25
-#> 10444 VR2AR-546585     -5.623995     56.37436             75
-#> 10445  VR2W-108158     -5.619533     56.37413             25
-#> 10446 VR2AR-546585     -5.623995     56.37436             75
-#> 10447  VR2W-108158     -5.619533     56.37413             25
-#> 10448  VR2W-108158     -5.619533     56.37413             25
-#> 10449 VR2AR-546585     -5.623995     56.37436             75
-#> 10450 VR2AR-546585     -5.623995     56.37436             75
-#> 10451 VR2AR-546585     -5.623995     56.37436             75
-#> 10452 VR2AR-546585     -5.623995     56.37436             75
-#> 10453 VR2AR-546585     -5.623995     56.37436             75
-#> 10454 VR2AR-546585     -5.623995     56.37436             75
-#> 10455  VR2W-108158     -5.619533     56.37413             25
-#> 10456 VR2AR-546131     -5.612700     56.37988             35
-#> 10457 VR2AR-546131     -5.612700     56.37988             35
-#> 10458 VR2AR-546131     -5.612700     56.37988             35
-#> 10459 VR2AR-546131     -5.612700     56.37988             35
-#> 10460 VR2AR-546131     -5.612700     56.37988             35
-#> 10461 VR2AR-546131     -5.612700     56.37988             35
-#> 10462 VR2AR-546131     -5.612700     56.37988             35
-#> 10463 VR2AR-546131     -5.612700     56.37988             35
-#> 10464 VR2AR-546131     -5.612700     56.37988             35
-#> 10465 VR2AR-546131     -5.612700     56.37988             35
-#> 10466 VR2AR-546131     -5.612700     56.37988             35
-#> 10467 VR2AR-546131     -5.612700     56.37988             35
-#> 10468 VR2AR-546131     -5.612700     56.37988             35
-#> 10469 VR2AR-546131     -5.612700     56.37988             35
-#> 10470 VR2AR-546131     -5.612700     56.37988             35
-#> 10471 VR2AR-546131     -5.612700     56.37988             35
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-#> 10475 VR2AR-546131     -5.612700     56.37988             35
-#> 10476 VR2AR-546131     -5.612700     56.37988             35
-#> 10477 VR2AR-546131     -5.612700     56.37988             35
-#> 10478 VR2AR-546131     -5.612700     56.37988             35
-#> 10479 VR2AR-546131     -5.612700     56.37988             35
-#> 10480 VR2AR-546131     -5.612700     56.37988             35
-#> 10481 VR2AR-546131     -5.612700     56.37988             35
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-#> 10484 VR2AR-546131     -5.612700     56.37988             35
-#> 10485 VR2AR-546131     -5.612700     56.37988             35
-#> 10486 VR2AR-546131     -5.612700     56.37988             35
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-#> 10488 VR2AR-546131     -5.612700     56.37988             35
-#> 10489 VR2AR-546131     -5.612700     56.37988             35
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-#> 10494 VR2AR-546131     -5.612700     56.37988             35
-#> 10495 VR2AR-546131     -5.612700     56.37988             35
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-#> 10498 VR2AR-546131     -5.612700     56.37988             35
-#> 10499 VR2AR-546131     -5.612700     56.37988             35
-#> 10500 VR2AR-546131     -5.612700     56.37988             35
-#> 10501 VR2AR-546131     -5.612700     56.37988             35
-#> 10502 VR2AR-546584     -5.604973     56.37774             30
-#> 10503 VR2AR-546131     -5.612700     56.37988             35
-#> 10504 VR2AR-546584     -5.604973     56.37774             30
-#> 10505 VR2AR-546131     -5.612700     56.37988             35
-#> 10506 VR2AR-546584     -5.604973     56.37774             30
-#> 10507 VR2AR-546131     -5.612700     56.37988             35
-#> 10508 VR2AR-546131     -5.612700     56.37988             35
-#> 10509 VR2AR-546584     -5.604973     56.37774             30
-#> 10510 VR2AR-546584     -5.604973     56.37774             30
-#> 10511 VR2AR-546131     -5.612700     56.37988             35
-#> 10512 VR2AR-546131     -5.612700     56.37988             35
-#> 10513 VR2AR-546584     -5.604973     56.37774             30
-#> 10514 VR2AR-546131     -5.612700     56.37988             35
-#> 10515 VR2AR-546131     -5.612700     56.37988             35
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-#> 10520 VR2AR-546131     -5.612700     56.37988             35
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-#> 10524 VR2AR-546584     -5.604973     56.37774             30
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-#> 10526 VR2AR-546131     -5.612700     56.37988             35
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-#> 10528 VR2AR-546584     -5.604973     56.37774             30
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-#> 10530 VR2AR-546584     -5.604973     56.37774             30
-#> 10531 VR2AR-546131     -5.612700     56.37988             35
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-#> 10533 VR2AR-546584     -5.604973     56.37774             30
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-#> 10535 VR2AR-546131     -5.612700     56.37988             35
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-#> 10537 VR2AR-546584     -5.604973     56.37774             30
-#> 10538 VR2AR-546584     -5.604973     56.37774             30
-#> 10539 VR2AR-546131     -5.612700     56.37988             35
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-#> 10541 VR2AR-546584     -5.604973     56.37774             30
-#> 10542 VR2AR-546131     -5.612700     56.37988             35
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-#> 10557 VR2AR-546134     -5.643867     56.38278            145
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-#> 10581 VR2AR-546135     -5.657067     56.38803             85
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-#> 10634 VR2AR-546586     -5.707092     56.49447             20
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-#> 10637 VR2AR-546133     -5.701717     56.49747             90
-#> 10638 VR2AR-546586     -5.707092     56.49447             20
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-#> 10641 VR2AR-546586     -5.707092     56.49447             20
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-#> 10647 VR2AR-546586     -5.707092     56.49447             20
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-#> 10656 VR2AR-546380     -5.637917     56.44800             25
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-#> 10682 VR2AR-546134     -5.643867     56.38278            145
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-#> 10695 VR2AR-546131     -5.612700     56.37988             35
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-#> 10813 VR2AR-546584     -5.604973     56.37774             30
-#> 10814 VR2AR-546131     -5.612700     56.37988             35
-#> 10815 VR2AR-546131     -5.612700     56.37988             35
-#> 10816 VR2AR-546584     -5.604973     56.37774             30
-#> 10817 VR2AR-546584     -5.604973     56.37774             30
-#> 10818 VR2AR-546584     -5.604973     56.37774             30
-#> 10819 VR2AR-546131     -5.612700     56.37988             35
-#> 10820 VR2AR-546584     -5.604973     56.37774             30
-#> 10821 VR2AR-546584     -5.604973     56.37774             30
-#> 10822 VR2AR-546584     -5.604973     56.37774             30
-#> 10823 VR2AR-546584     -5.604973     56.37774             30
-#> 10824 VR2AR-546584     -5.604973     56.37774             30
-#> 10825 VR2AR-546584     -5.604973     56.37774             30
-#> 10826 VR2AR-546584     -5.604973     56.37774             30
-#> 10827 VR2AR-546584     -5.604973     56.37774             30
-#> 10828 VR2AR-546131     -5.612700     56.37988             35
-#> 10829 VR2AR-546131     -5.612700     56.37988             35
-#> 10830 VR2AR-546584     -5.604973     56.37774             30
-#> 10831 VR2AR-546131     -5.612700     56.37988             35
-#> 10832 VR2AR-546131     -5.612700     56.37988             35
-#> 10833 VR2AR-546131     -5.612700     56.37988             35
-#> 10834 VR2AR-546131     -5.612700     56.37988             35
-#> 10835 VR2AR-546131     -5.612700     56.37988             35
-#> 10836 VR2AR-546131     -5.612700     56.37988             35
-#> 10837 VR2AR-546131     -5.612700     56.37988             35
-#> 10838 VR2AR-546584     -5.604973     56.37774             30
-#> 10839 VR2AR-546131     -5.612700     56.37988             35
-#> 10840 VR2AR-546584     -5.604973     56.37774             30
-#> 10841 VR2AR-546131     -5.612700     56.37988             35
-#> 10842 VR2AR-546131     -5.612700     56.37988             35
-#> 10843 VR2AR-546584     -5.604973     56.37774             30
-#> 10844 VR2AR-546584     -5.604973     56.37774             30
-#> 10845 VR2AR-546131     -5.612700     56.37988             35
-#> 10846 VR2AR-546584     -5.604973     56.37774             30
-#> 10847 VR2AR-546131     -5.612700     56.37988             35
-#> 10848 VR2AR-546131     -5.612700     56.37988             35
-#> 10849 VR2AR-546131     -5.612700     56.37988             35
-#> 10850 VR2AR-546584     -5.604973     56.37774             30
-#> 10851 VR2AR-546131     -5.612700     56.37988             35
-#> 10852 VR2AR-546131     -5.612700     56.37988             35
-#> 10853 VR2AR-546131     -5.612700     56.37988             35
-#> 10854 VR2AR-546131     -5.612700     56.37988             35
-#> 10855 VR2AR-546131     -5.612700     56.37988             35
-#> 10856 VR2AR-546131     -5.612700     56.37988             35
-#> 10857 VR2AR-546131     -5.612700     56.37988             35
-#> 10858 VR2AR-546131     -5.612700     56.37988             35
-#> 10859 VR2AR-546131     -5.612700     56.37988             35
-#> 10860 VR2AR-546131     -5.612700     56.37988             35
-#> 10861 VR2AR-546584     -5.604973     56.37774             30
-#> 10862 VR2AR-546131     -5.612700     56.37988             35
-#> 10863 VR2AR-546584     -5.604973     56.37774             30
-#> 10864 VR2AR-546131     -5.612700     56.37988             35
-#> 10865 VR2AR-546131     -5.612700     56.37988             35
-#> 10866 VR2AR-546131     -5.612700     56.37988             35
-#> 10867 VR2AR-546131     -5.612700     56.37988             35
-#> 10868 VR2AR-546131     -5.612700     56.37988             35
-#> 10869 VR2AR-546131     -5.612700     56.37988             35
-#> 10870 VR2AR-546131     -5.612700     56.37988             35
-#> 10871 VR2AR-546131     -5.612700     56.37988             35
-#> 10872 VR2AR-546131     -5.612700     56.37988             35
-#> 10873 VR2AR-546131     -5.612700     56.37988             35
-#> 10874 VR2AR-546131     -5.612700     56.37988             35
-#> 10875 VR2AR-546131     -5.612700     56.37988             35
-#> 10876 VR2AR-546131     -5.612700     56.37988             35
-#> 10877 VR2AR-546584     -5.604973     56.37774             30
-#> 10878 VR2AR-546131     -5.612700     56.37988             35
-#> 10879 VR2AR-546584     -5.604973     56.37774             30
-#> 10880 VR2AR-546131     -5.612700     56.37988             35
-#> 10881 VR2AR-546131     -5.612700     56.37988             35
-#> 10882 VR2AR-546131     -5.612700     56.37988             35
-#> 10883 VR2AR-546584     -5.604973     56.37774             30
-#> 10884 VR2AR-546131     -5.612700     56.37988             35
-#> 10885 VR2AR-546131     -5.612700     56.37988             35
-#> 10886 VR2AR-546584     -5.604973     56.37774             30
-#> 10887 VR2AR-546584     -5.604973     56.37774             30
-#> 10888 VR2AR-546131     -5.612700     56.37988             35
-#> 10889 VR2AR-546131     -5.612700     56.37988             35
-#> 10890 VR2AR-546131     -5.612700     56.37988             35
-#> 10891 VR2AR-546131     -5.612700     56.37988             35
-#> 10892 VR2AR-546131     -5.612700     56.37988             35
-#> 10893 VR2AR-546131     -5.612700     56.37988             35
-#> 10894 VR2AR-546131     -5.612700     56.37988             35
-#> 10895 VR2AR-546131     -5.612700     56.37988             35
-#> 10896 VR2AR-546131     -5.612700     56.37988             35
-#> 10897 VR2AR-546131     -5.612700     56.37988             35
-#> 10898 VR2AR-546131     -5.612700     56.37988             35
-#> 10899 VR2AR-546131     -5.612700     56.37988             35
-#> 10900 VR2AR-546131     -5.612700     56.37988             35
-#> 10901 VR2AR-546585     -5.623995     56.37436             75
-#> 10902 VR2AR-546585     -5.623995     56.37436             75
-#> 10903 VR2AR-546585     -5.623995     56.37436             75
-#> 10904  VR2W-108160     -5.631733     56.37447             50
-#> 10905 VR2AR-546585     -5.623995     56.37436             75
-#> 10906  VR2W-108160     -5.631733     56.37447             50
-#> 10907 VR2AR-546585     -5.623995     56.37436             75
-#> 10908  VR2W-108160     -5.631733     56.37447             50
-#> 10909 VR2AR-546585     -5.623995     56.37436             75
-#> 10910 VR2AR-546585     -5.623995     56.37436             75
-#> 10911 VR2AR-546585     -5.623995     56.37436             75
-#> 10912 VR2AR-546585     -5.623995     56.37436             75
-#> 10913 VR2AR-546585     -5.623995     56.37436             75
-#> 10914  VR2W-108160     -5.631733     56.37447             50
-#> 10915 VR2AR-546585     -5.623995     56.37436             75
-#> 10916  VR2W-108160     -5.631733     56.37447             50
-#> 10917 VR2AR-546585     -5.623995     56.37436             75
-#> 10918  VR2W-108160     -5.631733     56.37447             50
-#> 10919  VR2W-108160     -5.631733     56.37447             50
-#> 10920  VR2W-108160     -5.631733     56.37447             50
-#> 10921 VR2AR-546134     -5.643867     56.38278            145
-#> 10922 VR2AR-546134     -5.643867     56.38278            145
-#> 10923 VR2AR-546134     -5.643867     56.38278            145
-#> 10924 VR2AR-546134     -5.643867     56.38278            145
-#> 10925 VR2AR-546134     -5.643867     56.38278            145
-#> 10926 VR2AR-546134     -5.643867     56.38278            145
-#> 10927 VR2AR-546134     -5.643867     56.38278            145
-#> 10928 VR2AR-546134     -5.643867     56.38278            145
-#> 10929 VR2AR-546134     -5.643867     56.38278            145
-#> 10930 VR2AR-546134     -5.643867     56.38278            145
-#> 10931 VR2AR-546134     -5.643867     56.38278            145
-#> 10932 VR2AR-546134     -5.643867     56.38278            145
-#> 10933 VR2AR-546134     -5.643867     56.38278            145
-#> 10934 VR2AR-546134     -5.643867     56.38278            145
-#> 10935 VR2AR-546134     -5.643867     56.38278            145
-#> 10936 VR2AR-546135     -5.657067     56.38803             85
-#> 10937 VR2AR-546135     -5.657067     56.38803             85
-#> 10938 VR2AR-546135     -5.657067     56.38803             85
-#> 10939 VR2AR-546135     -5.657067     56.38803             85
-#> 10940 VR2AR-546135     -5.657067     56.38803             85
-#> 10941 VR2AR-546135     -5.657067     56.38803             85
-#> 10942 VR2AR-546135     -5.657067     56.38803             85
-#> 10943 VR2AR-546135     -5.657067     56.38803             85
-#> 10944 VR2AR-546135     -5.657067     56.38803             85
-#> 10945 VR2AR-546135     -5.657067     56.38803             85
-#> 10946 VR2AR-546135     -5.657067     56.38803             85
-#> 10947 VR2AR-546135     -5.657067     56.38803             85
-#> 10948 VR2AR-546135     -5.657067     56.38803             85
-#> 10949 VR2AR-546135     -5.657067     56.38803             85
-#> 10950 VR2AR-546135     -5.657067     56.38803             85
-#> 10951 VR2AR-546135     -5.657067     56.38803             85
-#> 10952 VR2AR-546135     -5.657067     56.38803             85
-#> 10953 VR2AR-546380     -5.637917     56.44800             25
-#> 10954 VR2AR-546380     -5.637917     56.44800             25
-#> 10955 VR2AR-546380     -5.637917     56.44800             25
-#> 10956 VR2AR-546380     -5.637917     56.44800             25
-#> 10957 VR2AR-546380     -5.637917     56.44800             25
-#> 10958 VR2AR-546380     -5.637917     56.44800             25
-#> 10959 VR2AR-546380     -5.637917     56.44800             25
-#> 10960 VR2AR-546380     -5.637917     56.44800             25
-#> 10961 VR2AR-546380     -5.637917     56.44800             25
-#> 10962 VR2AR-546380     -5.637917     56.44800             25
-#> 10963 VR2AR-546380     -5.637917     56.44800             25
-#> 10964 VR2AR-546380     -5.637917     56.44800             25
-#> 10965 VR2AR-546380     -5.637917     56.44800             25
-#> 10966 VR2AR-546380     -5.637917     56.44800             25
-#> 10967 VR2AR-546380     -5.637917     56.44800             25
-#> 10968 VR2AR-546380     -5.637917     56.44800             25
-#> 10969 VR2AR-546380     -5.637917     56.44800             25
-#> 10970 VR2AR-546380     -5.637917     56.44800             25
-#> 10971 VR2AR-546380     -5.637917     56.44800             25
-#> 10972 VR2AR-546380     -5.637917     56.44800             25
-#> 10973 VR2AR-546380     -5.637917     56.44800             25
-#> 10974 VR2AR-546380     -5.637917     56.44800             25
-#> 10975 VR2AR-546380     -5.637917     56.44800             25
-#> 10976 VR2AR-546380     -5.637917     56.44800             25
-#> 10977 VR2AR-546380     -5.637917     56.44800             25
-#> 10978 VR2AR-546380     -5.637917     56.44800             25
-#> 10979 VR2AR-546380     -5.637917     56.44800             25
-#> 10980 VR2AR-546380     -5.637917     56.44800             25
-#> 10981 VR2AR-546380     -5.637917     56.44800             25
-#> 10982 VR2AR-546380     -5.637917     56.44800             25
-#> 10983 VR2AR-546131     -5.612700     56.37988             35
-#> 10984 VR2AR-546131     -5.612700     56.37988             35
-#> 10985 VR2AR-546131     -5.612700     56.37988             35
-#> 10986 VR2AR-546131     -5.612700     56.37988             35
-#> 10987 VR2AR-546131     -5.612700     56.37988             35
-#> 10988 VR2AR-546131     -5.612700     56.37988             35
-#> 10989 VR2AR-546131     -5.612700     56.37988             35
-#> 10990 VR2AR-546131     -5.612700     56.37988             35
-#> 10991 VR2AR-546131     -5.612700     56.37988             35
-#> 10992 VR2AR-546131     -5.612700     56.37988             35
-#> 10993 VR2AR-546131     -5.612700     56.37988             35
-#> 10994 VR2AR-546131     -5.612700     56.37988             35
-#> 10995 VR2AR-546584     -5.604973     56.37774             30
-#> 10996 VR2AR-546131     -5.612700     56.37988             35
-#> 10997 VR2AR-546131     -5.612700     56.37988             35
-#> 10998 VR2AR-546584     -5.604973     56.37774             30
-#> 10999 VR2AR-546131     -5.612700     56.37988             35
-#> 11000 VR2AR-546131     -5.612700     56.37988             35
-#> 11001 VR2AR-546131     -5.612700     56.37988             35
-#> 11002 VR2AR-546584     -5.604973     56.37774             30
-#> 11003 VR2AR-546131     -5.612700     56.37988             35
-#> 11004 VR2AR-546584     -5.604973     56.37774             30
-#> 11005 VR2AR-546131     -5.612700     56.37988             35
-#> 11006 VR2AR-546131     -5.612700     56.37988             35
-#> 11007 VR2AR-546131     -5.612700     56.37988             35
-#> 11008 VR2AR-546131     -5.612700     56.37988             35
-#> 11009 VR2AR-546131     -5.612700     56.37988             35
-#> 11010 VR2AR-546131     -5.612700     56.37988             35
-#> 11011 VR2AR-546131     -5.612700     56.37988             35
-#> 11012 VR2AR-546131     -5.612700     56.37988             35
-#> 11013 VR2AR-546131     -5.612700     56.37988             35
-#> 11014 VR2AR-546131     -5.612700     56.37988             35
-#> 11015 VR2AR-546131     -5.612700     56.37988             35
-#> 11016 VR2AR-546131     -5.612700     56.37988             35
-#> 11017 VR2AR-546131     -5.612700     56.37988             35
-#> 11018 VR2AR-546131     -5.612700     56.37988             35
-#> 11019 VR2AR-546131     -5.612700     56.37988             35
-#> 11020 VR2AR-546131     -5.612700     56.37988             35
-#> 11021 VR2AR-546131     -5.612700     56.37988             35
-#> 11022 VR2AR-546131     -5.612700     56.37988             35
-#> 11023 VR2AR-546131     -5.612700     56.37988             35
-#> 11024 VR2AR-546131     -5.612700     56.37988             35
-#> 11025 VR2AR-546131     -5.612700     56.37988             35
-#> 11026 VR2AR-546131     -5.612700     56.37988             35
-#> 11027 VR2AR-546131     -5.612700     56.37988             35
-#> 11028 VR2AR-546131     -5.612700     56.37988             35
-#> 11029 VR2AR-546131     -5.612700     56.37988             35
-#> 11030 VR2AR-546131     -5.612700     56.37988             35
-#> 11031 VR2AR-546131     -5.612700     56.37988             35
-#> 11032 VR2AR-546131     -5.612700     56.37988             35
-#> 11033 VR2AR-546131     -5.612700     56.37988             35
-#> 11034 VR2AR-546131     -5.612700     56.37988             35
-#> 11035 VR2AR-546131     -5.612700     56.37988             35
-#> 11036 VR2AR-546131     -5.612700     56.37988             35
-#> 11037 VR2AR-546131     -5.612700     56.37988             35
-#> 11038 VR2AR-546131     -5.612700     56.37988             35
-#> 11039 VR2AR-546131     -5.612700     56.37988             35
-#> 11040 VR2AR-546131     -5.612700     56.37988             35
-#> 11041 VR2AR-546131     -5.612700     56.37988             35
-#> 11042 VR2AR-546131     -5.612700     56.37988             35
-#> 11043 VR2AR-546131     -5.612700     56.37988             35
-#> 11044 VR2AR-546131     -5.612700     56.37988             35
-#> 11045 VR2AR-546131     -5.612700     56.37988             35
-#> 11046 VR2AR-546131     -5.612700     56.37988             35
-#> 11047 VR2AR-546131     -5.612700     56.37988             35
-#> 11048 VR2AR-546131     -5.612700     56.37988             35
-#> 11049 VR2AR-546131     -5.612700     56.37988             35
-#> 11050 VR2AR-546131     -5.612700     56.37988             35
-#> 11051 VR2AR-546131     -5.612700     56.37988             35
-#> 11052 VR2AR-546131     -5.612700     56.37988             35
-#> 11053 VR2AR-546131     -5.612700     56.37988             35
-#> 11054 VR2AR-546131     -5.612700     56.37988             35
-#> 11055 VR2AR-546131     -5.612700     56.37988             35
-#> 11056 VR2AR-546131     -5.612700     56.37988             35
-#> 11057 VR2AR-546131     -5.612700     56.37988             35
-#> 11058 VR2AR-546131     -5.612700     56.37988             35
-#> 11059 VR2AR-546131     -5.612700     56.37988             35
-#> 11060 VR2AR-546131     -5.612700     56.37988             35
-#> 11061 VR2AR-546131     -5.612700     56.37988             35
-#> 11062 VR2AR-546131     -5.612700     56.37988             35
-#> 11063 VR2AR-546131     -5.612700     56.37988             35
-#> 11064 VR2AR-546131     -5.612700     56.37988             35
-#> 11065 VR2AR-546131     -5.612700     56.37988             35
-#> 11066 VR2AR-546131     -5.612700     56.37988             35
-#> 11067 VR2AR-546131     -5.612700     56.37988             35
-#> 11068 VR2AR-546131     -5.612700     56.37988             35
-#> 11069 VR2AR-546131     -5.612700     56.37988             35
-#> 11070 VR2AR-546131     -5.612700     56.37988             35
-#> 11071 VR2AR-546131     -5.612700     56.37988             35
-#> 11072 VR2AR-546131     -5.612700     56.37988             35
-#> 11073 VR2AR-546131     -5.612700     56.37988             35
-#> 11074 VR2AR-546131     -5.612700     56.37988             35
-#> 11075 VR2AR-546131     -5.612700     56.37988             35
-#> 11076 VR2AR-546131     -5.612700     56.37988             35
-#> 11077 VR2AR-546131     -5.612700     56.37988             35
-#> 11078 VR2AR-546131     -5.612700     56.37988             35
-#> 11079 VR2AR-546131     -5.612700     56.37988             35
-#> 11080 VR2AR-546131     -5.612700     56.37988             35
-#> 11081 VR2AR-546131     -5.612700     56.37988             35
-#> 11082 VR2AR-546131     -5.612700     56.37988             35
-#> 11083 VR2AR-546131     -5.612700     56.37988             35
-#> 11084 VR2AR-546131     -5.612700     56.37988             35
-#> 11085 VR2AR-546131     -5.612700     56.37988             35
-#> 11086 VR2AR-546131     -5.612700     56.37988             35
-#> 11087 VR2AR-546131     -5.612700     56.37988             35
-#> 11088 VR2AR-546131     -5.612700     56.37988             35
-#> 11089 VR2AR-546131     -5.612700     56.37988             35
-#> 11090 VR2AR-546131     -5.612700     56.37988             35
-#> 11091 VR2AR-546131     -5.612700     56.37988             35
-#> 11092 VR2AR-546584     -5.604973     56.37774             30
-#> 11093 VR2AR-546131     -5.612700     56.37988             35
-#> 11094 VR2AR-546131     -5.612700     56.37988             35
-#> 11095 VR2AR-546131     -5.612700     56.37988             35
-#> 11096 VR2AR-546584     -5.604973     56.37774             30
-#> 11097 VR2AR-546131     -5.612700     56.37988             35
-#> 11098 VR2AR-546131     -5.612700     56.37988             35
-#> 11099 VR2AR-546584     -5.604973     56.37774             30
-#> 11100 VR2AR-546584     -5.604973     56.37774             30
-#> 11101 VR2AR-546131     -5.612700     56.37988             35
-#> 11102 VR2AR-546584     -5.604973     56.37774             30
-#> 11103 VR2AR-546584     -5.604973     56.37774             30
-#> 11104 VR2AR-546131     -5.612700     56.37988             35
-#> 11105 VR2AR-546584     -5.604973     56.37774             30
-#> 11106 VR2AR-546584     -5.604973     56.37774             30
-#> 11107 VR2AR-546131     -5.612700     56.37988             35
-#> 11108 VR2AR-546131     -5.612700     56.37988             35
-#> 11109 VR2AR-546131     -5.612700     56.37988             35
-#> 11110 VR2AR-546584     -5.604973     56.37774             30
-#> 11111 VR2AR-546131     -5.612700     56.37988             35
-#>  [ reached 'max' / getOption("max.print") -- omitted 1897 rows ]
-#> 
-#> [[1]]$args$delta_t
-#> [1] "6 hours"
-#> 
-#> 
-#> 
-#> [[2]]
-#> [[2]]$data
-#> [[2]]$data$m1_i1
-#> NULL
-#> 
-#> [[2]]$data$m1_i2
-#>    pc_receiver_with_detections   pc_of_ts
-#> 1                     0.000000 59.9773243
-#> 2                     4.347826  6.4625850
-#> 3                     4.545455  2.8344671
-#> 4                     4.761905  0.3401361
-#> 5                     5.000000  3.9682540
-#> 6                     5.555556  6.2358277
-#> 7                     5.882353  5.7823129
-#> 8                     6.250000  0.9070295
-#> 9                     7.142857  1.0204082
-#> 10                    8.333333  0.3401361
-#> 11                    8.695652  1.1337868
-#> 12                    9.090909  0.4535147
-#> 13                   10.000000  3.0612245
-#> 14                   11.111111  1.2471655
-#> 15                   11.764706  2.6077098
-#> 16                   12.500000  0.1133787
-#> 17                   14.285714  0.6802721
-#> 18                   15.000000  0.7936508
-#> 19                   16.666667  0.5668934
-#> 20                   17.647059  0.3401361
-#> 21                   18.750000  0.2267574
-#> 22                   20.000000  0.5668934
-#> 23                   23.529412  0.1133787
-#> 24                   25.000000  0.1133787
-#> 25                   30.000000  0.1133787
-#> 26                   35.000000  0.1133787
-#> 
-#> [[2]]$data$m2_i1
-#> NULL
-#> 
-#> [[2]]$data$m2_i2
-#>     pc_detections_per_receiver   pc_of_ts
-#> 1                   0.00000000 59.8639456
-#> 2                   0.04347826  0.2267574
-#> 3                   0.05555556  0.1133787
-#> 4                   0.05882353  0.1133787
-#> 5                   0.08695652  0.1133787
-#> 6                   0.09090909  0.3401361
-#> 7                   0.10000000  0.7936508
-#> 8                   0.11111111  0.4535147
-#> 9                   0.11764706  0.3401361
-#> 10                  0.12500000  0.1133787
-#> 11                  0.13043478  0.4535147
-#> 12                  0.13636364  0.2267574
-#> 13                  0.16666667  0.3401361
-#> 14                  0.17391304  0.3401361
-#> 15                  0.17647059  0.3401361
-#> 16                  0.18181818  0.1133787
-#> 17                  0.19047619  0.1133787
-#> 18                  0.21739130  0.3401361
-#> 19                  0.22222222  0.1133787
-#> 20                  0.22727273  0.2267574
-#> 21                  0.23529412  0.2267574
-#> 22                  0.25000000  0.1133787
-#> 23                  0.26086957  0.1133787
-#> 24                  0.27272727  0.2267574
-#> 25                  0.27777778  0.4535147
-#> 26                  0.29411765  0.2267574
-#> 27                  0.30000000  0.5668934
-#> 28                  0.30434783  0.2267574
-#> 29                  0.31818182  0.2267574
-#> 30                  0.33333333  0.2267574
-#> 31                  0.34782609  0.3401361
-#> 32                  0.35000000  0.1133787
-#> 33                  0.35294118  0.4535147
-#> 34                  0.37500000  0.1133787
-#> 35                  0.39130435  0.1133787
-#> 36                  0.40000000  0.1133787
-#> 37                  0.40909091  0.2267574
-#> 38                  0.41176471  0.3401361
-#> 39                  0.41666667  0.1133787
-#> 40                  0.42857143  0.2267574
-#> 41                  0.43750000  0.1133787
-#> 42                  0.44444444  0.5668934
-#> 43                  0.45000000  0.2267574
-#> 44                  0.45454545  0.1133787
-#> 45                  0.47058824  0.3401361
-#> 46                  0.50000000  0.6802721
-#> 47                  0.52173913  0.3401361
-#> 48                  0.52941176  0.4535147
-#> 49                  0.55000000  0.2267574
-#> 50                  0.55555556  0.2267574
-#> 51                  0.56521739  0.1133787
-#> 52                  0.59090909  0.3401361
-#> 53                  0.60000000  0.2267574
-#> 54                  0.60869565  0.1133787
-#> 55                  0.61111111  0.2267574
-#> 56                  0.62500000  0.1133787
-#> 57                  0.64705882  0.1133787
-#> 58                  0.65000000  0.2267574
-#> 59                  0.65217391  0.4535147
-#> 60                  0.66666667  0.1133787
-#> 61                  0.69565217  0.1133787
-#> 62                  0.70000000  0.1133787
-#> 63                  0.70588235  0.2267574
-#> 64                  0.73913043  0.2267574
-#> 65                  0.75000000  0.1133787
-#> 66                  0.77272727  0.2267574
-#> 67                  0.78260870  0.3401361
-#> 68                  0.78571429  0.2267574
-#> 69                  0.80000000  0.1133787
-#> 70                  0.82352941  0.3401361
-#> 71                  0.82608696  0.3401361
-#> 72                  0.83333333  0.1133787
-#> 73                  0.85714286  0.1133787
-#> 74                  0.86956522  0.3401361
-#> 75                  0.87500000  0.1133787
-#> 76                  0.90000000  0.1133787
-#> 77                  0.91304348  0.2267574
-#> 78                  0.91666667  0.1133787
-#> 79                  0.94444444  0.2267574
-#> 80                  0.95454545  0.1133787
-#> 81                  1.00000000  0.4535147
-#> 82                  1.04347826  0.4535147
-#> 83                  1.04545455  0.1133787
-#> 84                  1.05000000  0.1133787
-#> 85                  1.05555556  0.2267574
-#> 86                  1.06250000  0.1133787
-#> 87                  1.10000000  0.3401361
-#> 88                  1.11764706  0.1133787
-#> 89                  1.15000000  0.1133787
-#> 90                  1.17391304  0.1133787
-#> 91                  1.17647059  0.3401361
-#> 92                  1.20000000  0.1133787
-#> 93                  1.22222222  0.1133787
-#> 94                  1.23529412  0.1133787
-#> 95                  1.25000000  0.1133787
-#> 96                  1.26086957  0.2267574
-#> 97                  1.27777778  0.1133787
-#> 98                  1.29411765  0.1133787
-#> 99                  1.30000000  0.1133787
-#> 100                 1.30434783  0.1133787
-#> 101                 1.33333333  0.3401361
-#> 102                 1.34782609  0.1133787
-#> 103                 1.35294118  0.2267574
-#> 104                 1.38888889  0.2267574
-#> 105                 1.39130435  0.1133787
-#> 106                 1.41176471  0.1133787
-#> 107                 1.44444444  0.1133787
-#> 108                 1.47058824  0.2267574
-#> 109                 1.47826087  0.1133787
-#> 110                 1.50000000  0.1133787
-#> 111                 1.52173913  0.2267574
-#> 112                 1.52941176  0.1133787
-#> 113                 1.55555556  0.1133787
-#> 114                 1.56521739  0.1133787
-#> 115                 1.58823529  0.2267574
-#> 116                 1.60000000  0.1133787
-#> 117                 1.60869565  0.2267574
-#> 118                 1.61111111  0.1133787
-#> 119                 1.64285714  0.1133787
-#> 120                 1.65000000  0.1133787
-#> 121                 1.66666667  0.1133787
-#> 122                 1.69565217  0.1133787
-#> 123                 1.70588235  0.3401361
-#> 124                 1.75000000  0.2267574
-#> 125                 1.76470588  0.1133787
-#> 126                 1.80000000  0.1133787
-#> 127                 1.83333333  0.1133787
-#> 128                 1.86363636  0.1133787
-#> 129                 1.90000000  0.1133787
-#> 130                 1.92857143  0.2267574
-#> 131                 1.94444444  0.1133787
-#> 132                 1.95454545  0.1133787
-#> 133                 2.04545455  0.1133787
-#> 134                 2.05000000  0.2267574
-#> 135                 2.06250000  0.1133787
-#> 136                 2.10000000  0.1133787
-#> 137                 2.11764706  0.1133787
-#> 138                 2.14285714  0.1133787
-#> 139                 2.15000000  0.1133787
-#> 140                 2.16666667  0.1133787
-#> 141                 2.20000000  0.1133787
-#> 142                 2.21739130  0.1133787
-#> 143                 2.27272727  0.1133787
-#> 144                 2.27777778  0.1133787
-#> 145                 2.29411765  0.2267574
-#> 146                 2.33333333  0.1133787
-#> 147                 2.35000000  0.2267574
-#> 148                 2.35294118  0.1133787
-#> 149                 2.38888889  0.1133787
-#> 150                 2.40000000  0.1133787
-#> 151                 2.44444444  0.1133787
-#> 152                 2.45000000  0.1133787
-#> 153                 2.45454545  0.1133787
-#> 154                 2.47058824  0.1133787
-#> 155                 2.50000000  0.1133787
-#> 156                 2.55555556  0.1133787
-#> 157                 2.58823529  0.2267574
-#> 158                 2.60869565  0.1133787
-#> 159                 2.65217391  0.1133787
-#> 160                 2.68750000  0.1133787
-#> 161                 2.70588235  0.1133787
-#> 162                 2.76470588  0.1133787
-#> 163                 2.83333333  0.1133787
-#> 164                 2.86363636  0.1133787
-#> 165                 2.88888889  0.1133787
-#> 166                 2.94444444  0.1133787
-#> 167                 3.00000000  0.1133787
-#> 168                 3.05555556  0.1133787
-#> 169                 3.11111111  0.1133787
-#> 170                 3.11764706  0.1133787
-#> 171                 3.14285714  0.1133787
-#> 172                 3.15000000  0.1133787
-#> 173                 3.17647059  0.1133787
-#> 174                 3.26086957  0.1133787
-#> 175                 3.27777778  0.2267574
-#> 176                 3.30000000  0.1133787
-#> 177                 3.34782609  0.1133787
-#> 178                 3.35000000  0.2267574
-#> 179                 3.35294118  0.1133787
-#> 180                 3.38095238  0.1133787
-#> 181                 3.45000000  0.1133787
-#> 182                 3.47058824  0.1133787
-#> 183                 3.50000000  0.1133787
-#> 184                 3.66666667  0.1133787
-#> 185                 3.72222222  0.1133787
-#> 186                 3.76470588  0.2267574
-#> 187                 3.77777778  0.1133787
-#> 188                 3.78571429  0.1133787
-#> 189                 3.88235294  0.1133787
-#> 190                 3.90000000  0.1133787
-#> 191                 4.00000000  0.1133787
-#> 192                 4.05000000  0.1133787
-#> 193                 4.05555556  0.1133787
-#> 194                 4.05882353  0.1133787
-#> 195                 4.29411765  0.1133787
-#> 196                 4.43750000  0.1133787
-#> 197                 4.52941176  0.2267574
-#> 198                 4.55555556  0.1133787
-#> 199                 4.64285714  0.1133787
-#> 200                 4.77777778  0.1133787
-#> 201                 5.05000000  0.1133787
-#> 202                 5.41176471  0.1133787
-#> 203                 5.60000000  0.1133787
-#> 204                 5.66666667  0.1133787
-#> 205                 5.70588235  0.1133787
-#> 206                 5.90000000  0.1133787
-#> 207                 6.00000000  0.1133787
-#> 208                 6.17391304  0.1133787
-#> 209                 6.30000000  0.1133787
-#> 210                 6.39130435  0.1133787
-#> 211                 6.45000000  0.1133787
-#> 212                 6.80000000  0.1133787
-#> 213                 6.85714286  0.1133787
-#> 214                 7.00000000  0.1133787
-#> 215                 7.78571429  0.1133787
-#> 216                 8.29411765  0.1133787
-#> 217                 8.30000000  0.1133787
-#> 218                 8.44444444  0.1133787
-#> 219                 8.58823529  0.1133787
-#> 220                 8.90000000  0.1133787
-#> 221                 9.05000000  0.1133787
-#> 222                 9.16666667  0.1133787
-#> 223                 9.28571429  0.1133787
-#> 224                 9.64705882  0.1133787
-#> 225                 9.75000000  0.1133787
-#> 226                 9.95000000  0.1133787
-#> 227                10.05555556  0.1133787
-#> 228                10.18750000  0.1133787
-#> 229                11.66666667  0.1133787
-#> 230                12.95000000  0.1133787
-#> 231                15.06250000  0.1133787
-#> 232                15.61111111  0.1133787
-#> 233                17.90000000  0.1133787
-#> 
-#> 
-#> [[2]]$args
-#> [[2]]$args$acoustics
-#>       individual_id transmitter_id index           timestamp receiver_id
-#> 1                25   A69-1303-555     1 2016-03-17 01:50:00          26
-#> 2                25   A69-1303-555     2 2016-03-17 01:52:00          26
-#> 3                25   A69-1303-555     4 2016-03-17 01:54:00          26
-#> 4                25   A69-1303-555     5 2016-03-17 01:58:00          26
-#> 5                25   A69-1303-555     7 2016-03-17 02:00:00          26
-#> 6                25   A69-1303-555     8 2016-03-17 02:04:00          26
-#> 7                25   A69-1303-555     9 2016-03-17 02:06:00          26
-#> 8                25   A69-1303-555    10 2016-03-17 02:08:00          26
-#> 9                25   A69-1303-555    12 2016-03-17 02:10:00          26
-#> 10               25   A69-1303-555    14 2016-03-17 02:12:00          26
-#> 11               25   A69-1303-555    15 2016-03-17 02:14:00          26
-#> 12               25   A69-1303-555    17 2016-03-17 02:16:00          26
-#> 13               25   A69-1303-555    19 2016-03-17 02:18:00          26
-#> 14               25   A69-1303-555    21 2016-03-17 02:20:00          26
-#> 15               25   A69-1303-555    22 2016-03-17 02:22:00          26
-#> 16               25   A69-1303-555    23 2016-03-17 02:24:00          26
-#> 17               25   A69-1303-555    24 2016-03-17 02:30:00          26
-#> 18               25   A69-1303-555    25 2016-03-17 02:32:00          26
-#> 19               25   A69-1303-555    26 2016-03-17 02:52:00          21
-#> 20               25   A69-1303-555    27 2016-03-17 02:54:00          26
-#> 21               25   A69-1303-555    28 2016-03-17 02:56:00          26
-#> 22               25   A69-1303-555    29 2016-03-17 02:56:00          21
-#> 23               25   A69-1303-555    31 2016-03-17 02:58:00          21
-#> 24               25   A69-1303-555    33 2016-03-17 03:00:00          21
-#> 25               25   A69-1303-555    34 2016-03-17 03:02:00          21
-#> 26               25   A69-1303-555    35 2016-03-17 03:04:00          21
-#> 27               25   A69-1303-555    37 2016-03-17 03:06:00          21
-#> 28               25   A69-1303-555    39 2016-03-17 03:08:00          21
-#> 29               25   A69-1303-555    42 2016-03-17 03:10:00          21
-#> 30               25   A69-1303-555    44 2016-03-17 03:12:00          21
-#> 31               25   A69-1303-555    46 2016-03-17 03:16:00          21
-#> 32               25   A69-1303-555    48 2016-03-17 03:18:00          21
-#> 33               25   A69-1303-555    49 2016-03-17 03:20:00          21
-#> 34               25   A69-1303-555    51 2016-03-17 03:22:00          21
-#> 35               25   A69-1303-555    54 2016-03-17 03:24:00          21
-#> 36               25   A69-1303-555    55 2016-03-17 03:26:00          21
-#> 37               25   A69-1303-555    57 2016-03-17 03:28:00          21
-#> 38               25   A69-1303-555    59 2016-03-17 03:30:00          21
-#> 39               25   A69-1303-555    60 2016-03-17 03:32:00          21
-#> 40               25   A69-1303-555    62 2016-03-17 03:36:00          21
-#> 41               25   A69-1303-555    64 2016-03-17 03:38:00          21
-#> 42               25   A69-1303-555    66 2016-03-17 03:40:00          21
-#> 43               25   A69-1303-555    67 2016-03-17 03:42:00          26
-#> 44               25   A69-1303-555    68 2016-03-17 03:44:00          26
-#> 45               25   A69-1303-555    69 2016-03-17 03:46:00          26
-#> 46               25   A69-1303-555    71 2016-03-17 03:48:00          26
-#> 47               25   A69-1303-555    73 2016-03-17 03:50:00          26
-#> 48               25   A69-1303-555    74 2016-03-17 03:54:00          26
-#> 49               25   A69-1303-555    75 2016-03-17 04:04:00          26
-#> 50               25   A69-1303-555    77 2016-03-17 04:06:00          26
-#> 51               25   A69-1303-555    78 2016-03-17 04:08:00          26
-#> 52               25   A69-1303-555    79 2016-03-17 04:08:00          21
-#> 53               25   A69-1303-555    80 2016-03-17 04:12:00          21
-#> 54               25   A69-1303-555    81 2016-03-17 04:32:00          26
-#> 55               25   A69-1303-555    82 2016-03-17 04:34:00          26
-#> 56               25   A69-1303-555    83 2016-03-17 04:38:00          26
-#> 57               25   A69-1303-555    84 2016-03-17 04:44:00          26
-#> 58               25   A69-1303-555    85 2016-03-17 04:48:00          26
-#> 59               25   A69-1303-555    86 2016-03-17 04:50:00          26
-#> 60               25   A69-1303-555    87 2016-03-17 04:54:00          26
-#> 61               25   A69-1303-555    88 2016-03-17 04:56:00          26
-#> 62               25   A69-1303-555    90 2016-03-17 04:58:00          26
-#> 63               25   A69-1303-555    92 2016-03-17 05:00:00          26
-#> 64               25   A69-1303-555    94 2016-03-17 05:02:00          26
-#> 65               25   A69-1303-555    96 2016-03-17 05:04:00          26
-#> 66               25   A69-1303-555    97 2016-03-17 05:06:00          26
-#> 67               25   A69-1303-555    99 2016-03-17 05:06:00          31
-#> 68               25   A69-1303-555   100 2016-03-17 05:08:00          26
-#> 69               25   A69-1303-555   102 2016-03-17 05:10:00          31
-#> 70               25   A69-1303-555   103 2016-03-17 05:10:00          26
-#> 71               25   A69-1303-555   105 2016-03-17 05:12:00          26
-#> 72               25   A69-1303-555   107 2016-03-17 05:14:00          26
-#> 73               25   A69-1303-555   109 2016-03-17 05:16:00          26
-#> 74               25   A69-1303-555   111 2016-03-17 05:18:00          26
-#> 75               25   A69-1303-555   112 2016-03-17 05:20:00          31
-#> 76               25   A69-1303-555   113 2016-03-17 05:20:00          26
-#> 77               25   A69-1303-555   116 2016-03-17 05:22:00          26
-#> 78               25   A69-1303-555   117 2016-03-17 05:24:00          26
-#> 79               25   A69-1303-555   119 2016-03-17 05:26:00          26
-#> 80               25   A69-1303-555   120 2016-03-17 05:28:00          26
-#> 81               25   A69-1303-555   121 2016-03-17 05:30:00          26
-#> 82               25   A69-1303-555   123 2016-03-17 05:32:00          26
-#> 83               25   A69-1303-555   125 2016-03-17 05:34:00          26
-#> 84               25   A69-1303-555   127 2016-03-17 05:36:00          26
-#> 85               25   A69-1303-555   129 2016-03-17 05:38:00          26
-#> 86               25   A69-1303-555   131 2016-03-17 05:40:00          26
-#> 87               25   A69-1303-555   132 2016-03-17 08:36:00          26
-#> 88               25   A69-1303-555   133 2016-03-17 08:40:00          26
-#> 89               25   A69-1303-555   134 2016-03-17 08:42:00          26
-#> 90               25   A69-1303-555   136 2016-03-17 08:44:00          26
-#> 91               25   A69-1303-555   137 2016-03-17 08:46:00          26
-#> 92               25   A69-1303-555   138 2016-03-17 08:50:00          26
-#> 93               25   A69-1303-555   139 2016-03-17 08:50:00          31
-#> 94               25   A69-1303-555   142 2016-03-17 08:52:00          26
-#> 95               25   A69-1303-555   144 2016-03-17 08:52:00          31
-#> 96               25   A69-1303-555   146 2016-03-17 08:54:00          31
-#> 97               25   A69-1303-555   147 2016-03-17 08:54:00          26
-#> 98               25   A69-1303-555   148 2016-03-17 08:58:00          31
-#> 99               25   A69-1303-555   149 2016-03-17 08:58:00          26
-#> 100              25   A69-1303-555   151 2016-03-17 09:00:00          26
-#> 101              25   A69-1303-555   152 2016-03-17 09:00:00          31
-#> 102              25   A69-1303-555   154 2016-03-17 09:02:00          26
-#> 103              25   A69-1303-555   155 2016-03-21 21:06:00          26
-#> 104              25   A69-1303-555   156 2016-03-21 21:08:00          26
-#> 105              25   A69-1303-555   157 2016-03-21 22:20:00          26
-#> 106              25   A69-1303-555   158 2016-03-21 22:24:00          26
-#> 107              25   A69-1303-555   159 2016-03-21 22:26:00          26
-#> 108              25   A69-1303-555   161 2016-03-21 22:28:00          26
-#> 109              25   A69-1303-555   162 2016-03-21 22:34:00          26
-#> 110              25   A69-1303-555   163 2016-03-21 22:36:00          26
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-#> 1862             25   A69-1303-555  2944 2016-06-04 01:00:00          14
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-#> 1867             25   A69-1303-555  2949 2016-06-04 01:16:00          14
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-#> 1869             25   A69-1303-555  2952 2016-06-04 01:20:00          14
-#> 1870             25   A69-1303-555  2954 2016-06-04 01:22:00          14
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-#> 1876             25   A69-1303-555  2966 2016-06-04 01:34:00          14
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-#> 1880             25   A69-1303-555  2970 2016-06-04 01:44:00          14
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-#> 1882             25   A69-1303-555  2974 2016-06-04 01:50:00          14
-#> 1883             25   A69-1303-555  2976 2016-06-04 01:54:00          14
-#> 1884             25   A69-1303-555  2978 2016-06-04 01:56:00          14
-#> 1885             25   A69-1303-555  2980 2016-06-04 01:58:00          14
-#> 1886             25   A69-1303-555  2981 2016-06-04 02:00:00          14
-#> 1887             25   A69-1303-555  2983 2016-06-04 02:02:00          14
-#> 1888             25   A69-1303-555  2984 2016-06-04 02:04:00          14
-#> 1889             25   A69-1303-555  2986 2016-06-04 02:06:00          14
-#> 1890             25   A69-1303-555  2988 2016-06-04 02:08:00          14
-#> 1891             25   A69-1303-555  2990 2016-06-04 02:10:00          14
-#> 1892             25   A69-1303-555  2992 2016-06-04 02:12:00          14
-#> 1893             25   A69-1303-555  2994 2016-06-04 02:18:00          14
-#> 1894             25   A69-1303-555  2996 2016-06-04 02:20:00          14
-#> 1895             25   A69-1303-555  2997 2016-06-04 02:22:00          14
-#> 1896             25   A69-1303-555  3000 2016-06-04 02:24:00          14
-#> 1897             25   A69-1303-555  3002 2016-06-04 02:26:00          14
-#> 1898             25   A69-1303-555  3004 2016-06-04 02:28:00          14
-#> 1899             25   A69-1303-555  3005 2016-06-04 02:34:00          14
-#> 1900             25   A69-1303-555  3006 2016-06-04 02:36:00          14
-#> 1901             25   A69-1303-555  3007 2016-06-04 03:12:00          14
-#> 1902             25   A69-1303-555  3009 2016-06-04 03:14:00          14
-#> 1903             25   A69-1303-555  3011 2016-06-04 03:16:00          14
-#> 1904             25   A69-1303-555  3012 2016-06-04 03:18:00          14
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-#> 1906             25   A69-1303-555  3014 2016-06-04 03:26:00          14
-#> 1907             25   A69-1303-555  3016 2016-06-04 03:28:00          14
-#> 1908             25   A69-1303-555  3017 2016-06-04 03:30:00          14
-#> 1909             25   A69-1303-555  3018 2016-06-04 03:56:00          14
-#> 1910             25   A69-1303-555  3019 2016-06-04 03:58:00          14
-#> 1911             25   A69-1303-555  3021 2016-06-04 04:00:00          14
-#> 1912             25   A69-1303-555  3022 2016-06-04 04:02:00          14
-#> 1913             25   A69-1303-555  3023 2016-06-04 04:04:00          14
-#> 1914             25   A69-1303-555  3025 2016-06-04 04:06:00          14
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-#> 1917             25   A69-1303-555  3030 2016-06-04 04:12:00          14
-#> 1918             25   A69-1303-555  3031 2016-06-04 04:16:00          14
-#> 1919             25   A69-1303-555  3034 2016-06-04 04:24:00          14
-#> 1920             25   A69-1303-555  3035 2016-06-04 04:26:00          14
-#> 1921             25   A69-1303-555  3037 2016-06-04 04:28:00          14
-#> 1922             25   A69-1303-555  3038 2016-06-04 04:32:00          14
-#> 1923             25   A69-1303-555  3039 2016-06-04 04:34:00          14
-#> 1924             25   A69-1303-555  3040 2016-06-04 04:38:00          14
-#> 1925             25   A69-1303-555  3042 2016-06-04 04:40:00          14
-#> 1926             25   A69-1303-555  3044 2016-06-04 04:42:00          14
-#> 1927             25   A69-1303-555  3045 2016-06-04 04:44:00          14
-#> 1928             25   A69-1303-555  3047 2016-06-04 04:46:00          14
-#> 1929             25   A69-1303-555  3049 2016-06-04 04:48:00          14
-#> 1930             25   A69-1303-555  3050 2016-06-04 04:50:00          14
-#> 1931             25   A69-1303-555  3052 2016-06-04 04:52:00          14
-#> 1932             25   A69-1303-555  3054 2016-06-04 04:54:00          14
-#> 1933             25   A69-1303-555  3055 2016-06-04 04:56:00          14
-#> 1934             25   A69-1303-555  3057 2016-06-04 04:58:00          14
-#> 1935             25   A69-1303-555  3059 2016-06-04 05:00:00          14
-#> 1936             25   A69-1303-555  3061 2016-06-04 05:02:00          14
-#> 1937             25   A69-1303-555  3063 2016-06-04 05:04:00          14
-#> 1938             25   A69-1303-555  3065 2016-06-04 05:08:00          14
-#> 1939             25   A69-1303-555  3066 2016-06-04 05:16:00          14
-#> 1940             25   A69-1303-555  3068 2016-06-04 07:00:00          14
-#> 1941             25   A69-1303-555  3069 2016-06-04 07:04:00          14
-#> 1942             25   A69-1303-555  3071 2016-06-04 07:06:00          14
-#> 1943             25   A69-1303-555  3072 2016-06-04 07:10:00          14
-#> 1944             25   A69-1303-555  3075 2016-06-04 07:12:00          14
-#> 1945             25   A69-1303-555  3076 2016-06-04 07:14:00          14
-#> 1946             25   A69-1303-555  3078 2016-06-04 07:18:00          14
-#> 1947             25   A69-1303-555  3079 2016-06-04 10:26:00          14
-#> 1948             25   A69-1303-555  3080 2016-06-04 10:34:00          14
-#> 1949             25   A69-1303-555  3081 2016-06-04 10:40:00          14
-#> 1950             25   A69-1303-555  3082 2016-06-04 11:08:00          14
-#> 1951             25   A69-1303-555  3083 2016-06-04 11:10:00          14
-#> 1952             25   A69-1303-555  3084 2016-06-04 11:24:00          14
-#> 1953             25   A69-1303-555  3085 2016-06-04 11:38:00          14
-#> 1954             25   A69-1303-555  3086 2016-06-04 12:02:00          14
-#> 1955             25   A69-1303-555  3087 2016-06-04 18:46:00          14
-#> 1956             25   A69-1303-555  3088 2016-06-04 18:48:00          14
-#> 1957             25   A69-1303-555  3089 2016-06-04 19:14:00          14
-#> 1958             25   A69-1303-555  3090 2016-06-04 19:16:00          14
-#> 1959             25   A69-1303-555  3091 2016-06-07 09:50:00          14
-#> 1960             25   A69-1303-555  3092 2016-06-07 09:58:00          14
-#> 1961             25   A69-1303-555  3093 2016-06-07 10:08:00          14
-#> 1962             25   A69-1303-555  3094 2016-06-07 10:10:00          14
-#> 1963             25   A69-1303-555  3095 2016-06-07 10:14:00          14
-#> 1964             25   A69-1303-555  3096 2016-06-07 10:56:00          14
-#> 1965             25   A69-1303-555  3097 2016-06-07 10:58:00          14
-#> 1966             25   A69-1303-555  3098 2016-06-07 11:10:00          14
-#> 1967             25   A69-1303-555  3100 2016-06-07 11:14:00          14
-#> 1968             25   A69-1303-555  3103 2016-06-07 11:16:00          14
-#> 1969             25   A69-1303-555  3104 2016-06-07 11:22:00          14
-#> 1970             25   A69-1303-555  3105 2016-06-07 11:26:00          14
-#> 1971             25   A69-1303-555  3106 2016-06-07 11:28:00          14
-#> 1972             25   A69-1303-555  3108 2016-06-07 11:30:00          14
-#> 1973             25   A69-1303-555  3109 2016-06-07 11:32:00          14
-#> 1974             25   A69-1303-555  3111 2016-06-07 11:34:00          14
-#> 1975             25   A69-1303-555  3112 2016-06-07 11:36:00          14
-#> 1976             25   A69-1303-555  3113 2016-06-07 11:42:00          14
-#> 1977             25   A69-1303-555  3114 2016-06-07 11:44:00          14
-#> 1978             25   A69-1303-555  3115 2016-06-07 11:48:00          14
-#> 1979             25   A69-1303-555  3116 2016-06-07 11:52:00          14
-#> 1980             25   A69-1303-555  3117 2016-06-07 11:54:00          14
-#> 1981             25   A69-1303-555  3118 2016-06-07 12:04:00          14
-#> 1982             25   A69-1303-555  3119 2016-06-07 12:06:00          14
-#> 1983             25   A69-1303-555  3121 2016-06-07 12:14:00          14
-#> 1984             25   A69-1303-555  3122 2016-06-07 12:16:00          14
-#> 1985             25   A69-1303-555  3124 2016-06-07 12:18:00          14
-#> 1986             25   A69-1303-555  3125 2016-06-07 12:20:00          14
-#> 1987             25   A69-1303-555  3126 2016-06-07 12:24:00          14
-#> 1988             25   A69-1303-555  3127 2016-06-07 12:32:00          14
-#> 1989             25   A69-1303-555  3128 2016-06-07 12:36:00          14
-#> 1990             25   A69-1303-555  3130 2016-06-07 12:38:00          14
-#> 1991             25   A69-1303-555  3132 2016-06-07 12:40:00          14
-#> 1992             25   A69-1303-555  3133 2016-06-07 12:42:00          14
-#> 1993             25   A69-1303-555  3135 2016-06-07 12:46:00          14
-#> 1994             25   A69-1303-555  3136 2016-06-07 12:48:00          14
-#> 1995             25   A69-1303-555  3138 2016-06-07 12:50:00          14
-#> 1996             25   A69-1303-555  3140 2016-06-07 12:52:00          14
-#> 1997             25   A69-1303-555  3142 2016-06-07 12:54:00          14
-#> 1998             25   A69-1303-555  3144 2016-06-07 12:56:00          14
-#> 1999             25   A69-1303-555  3146 2016-06-07 12:58:00          14
-#> 2000             25   A69-1303-555  3149 2016-06-07 13:00:00          14
-#> 2001             25   A69-1303-555  3151 2016-06-07 13:02:00          14
-#> 2002             25   A69-1303-555  3153 2016-06-07 13:04:00          14
-#> 2003             25   A69-1303-555  3154 2016-06-07 13:06:00          14
-#> 2004             25   A69-1303-555  3156 2016-06-07 13:08:00          14
-#> 2005             25   A69-1303-555  3158 2016-06-07 13:10:00          14
-#> 2006             25   A69-1303-555  3159 2016-06-07 13:12:00          14
-#> 2007             25   A69-1303-555  3160 2016-06-07 13:14:00          14
-#> 2008             25   A69-1303-555  3162 2016-06-07 13:16:00          14
-#> 2009             25   A69-1303-555  3163 2016-06-07 13:28:00          14
-#> 2010             25   A69-1303-555  3164 2016-06-07 13:32:00          14
-#> 2011             25   A69-1303-555  3165 2016-06-07 13:40:00          14
-#> 2012             25   A69-1303-555  3167 2016-06-07 13:42:00          14
-#> 2013             25   A69-1303-555  3168 2016-06-07 13:44:00          14
-#> 2014             25   A69-1303-555  3169 2016-06-07 13:48:00          14
-#> 2015             25   A69-1303-555  3170 2016-06-07 13:50:00          14
-#> 2016             25   A69-1303-555  3171 2016-06-07 14:00:00          14
-#> 2017             25   A69-1303-555  3172 2016-06-07 14:02:00          14
-#> 2018             25   A69-1303-555  3173 2016-06-07 14:04:00          14
-#> 2019             25   A69-1303-555  3175 2016-06-07 14:06:00          14
-#> 2020             25   A69-1303-555  3177 2016-06-07 14:08:00          14
-#> 2021             25   A69-1303-555  3179 2016-06-07 14:10:00          14
-#> 2022             25   A69-1303-555  3180 2016-06-07 14:12:00          14
-#> 2023             25   A69-1303-555  3182 2016-06-07 14:14:00          14
-#> 2024             25   A69-1303-555  3184 2016-06-07 14:16:00          14
-#> 2025             25   A69-1303-555  3185 2016-06-07 14:18:00          14
-#> 2026             25   A69-1303-555  3187 2016-06-07 14:20:00          14
-#> 2027             25   A69-1303-555  3189 2016-06-07 14:22:00          14
-#> 2028             25   A69-1303-555  3191 2016-06-07 14:24:00          14
-#> 2029             25   A69-1303-555  3193 2016-06-07 14:26:00          14
-#> 2030             25   A69-1303-555  3195 2016-06-07 14:28:00          14
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-#> 10932            25   A69-1303-555 16729 2017-04-22 03:32:00          48
-#> 10933            25   A69-1303-555 16730 2017-04-22 03:34:00          48
-#> 10934            25   A69-1303-555 16731 2017-04-22 03:36:00          48
-#> 10935            25   A69-1303-555 16732 2017-04-22 03:38:00          48
-#> 10936            25   A69-1303-555 16733 2017-04-22 03:58:00          49
-#> 10937            25   A69-1303-555 16734 2017-04-22 04:00:00          49
-#> 10938            25   A69-1303-555 16736 2017-04-22 04:02:00          49
-#> 10939            25   A69-1303-555 16738 2017-04-22 04:04:00          49
-#> 10940            25   A69-1303-555 16739 2017-04-22 04:06:00          49
-#> 10941            25   A69-1303-555 16740 2017-04-22 04:08:00          49
-#> 10942            25   A69-1303-555 16742 2017-04-22 04:12:00          49
-#> 10943            25   A69-1303-555 16744 2017-04-22 04:18:00          49
-#> 10944            25   A69-1303-555 16745 2017-04-22 04:20:00          49
-#> 10945            25   A69-1303-555 16746 2017-04-22 04:22:00          49
-#> 10946            25   A69-1303-555 16747 2017-04-22 04:26:00          49
-#> 10947            25   A69-1303-555 16748 2017-04-22 04:28:00          49
-#> 10948            25   A69-1303-555 16749 2017-04-22 04:30:00          49
-#> 10949            25   A69-1303-555 16751 2017-04-22 04:32:00          49
-#> 10950            25   A69-1303-555 16753 2017-04-22 04:34:00          49
-#> 10951            25   A69-1303-555 16754 2017-04-22 04:40:00          49
-#> 10952            25   A69-1303-555 16755 2017-04-22 04:42:00          49
-#> 10953            25   A69-1303-555 16756 2017-04-23 03:44:00          51
-#> 10954            25   A69-1303-555 16757 2017-04-23 03:54:00          51
-#> 10955            25   A69-1303-555 16758 2017-04-23 03:56:00          51
-#> 10956            25   A69-1303-555 16759 2017-04-23 03:58:00          51
-#> 10957            25   A69-1303-555 16761 2017-04-23 04:02:00          51
-#> 10958            25   A69-1303-555 16762 2017-04-23 04:04:00          51
-#> 10959            25   A69-1303-555 16763 2017-04-23 04:10:00          51
-#> 10960            25   A69-1303-555 16764 2017-04-23 04:14:00          51
-#> 10961            25   A69-1303-555 16766 2017-04-23 04:16:00          51
-#> 10962            25   A69-1303-555 16767 2017-04-23 04:18:00          51
-#> 10963            25   A69-1303-555 16769 2017-04-23 04:20:00          51
-#> 10964            25   A69-1303-555 16771 2017-04-23 04:22:00          51
-#> 10965            25   A69-1303-555 16772 2017-04-23 04:26:00          51
-#> 10966            25   A69-1303-555 16774 2017-04-23 04:28:00          51
-#> 10967            25   A69-1303-555 16776 2017-04-23 04:30:00          51
-#> 10968            25   A69-1303-555 16777 2017-04-23 04:32:00          51
-#> 10969            25   A69-1303-555 16779 2017-04-23 04:34:00          51
-#> 10970            25   A69-1303-555 16780 2017-04-23 04:36:00          51
-#> 10971            25   A69-1303-555 16781 2017-04-23 04:38:00          51
-#> 10972            25   A69-1303-555 16782 2017-04-23 04:48:00          51
-#> 10973            25   A69-1303-555 16783 2017-04-23 11:32:00          51
-#> 10974            25   A69-1303-555 16784 2017-04-23 11:34:00          51
-#> 10975            25   A69-1303-555 16785 2017-04-23 13:24:00          51
-#> 10976            25   A69-1303-555 16786 2017-04-23 13:38:00          51
-#> 10977            25   A69-1303-555 16787 2017-04-23 14:18:00          51
-#> 10978            25   A69-1303-555 16788 2017-04-23 14:22:00          51
-#> 10979            25   A69-1303-555 16789 2017-04-23 14:28:00          51
-#> 10980            25   A69-1303-555 16790 2017-04-23 14:36:00          51
-#> 10981            25   A69-1303-555 16791 2017-04-23 14:48:00          51
-#> 10982            25   A69-1303-555 16792 2017-04-23 14:52:00          51
-#> 10983            25   A69-1303-555 16793 2017-04-27 19:56:00          45
-#> 10984            25   A69-1303-555 16794 2017-04-27 19:58:00          45
-#> 10985            25   A69-1303-555 16796 2017-04-27 20:00:00          45
-#> 10986            25   A69-1303-555 16798 2017-04-27 20:02:00          45
-#> 10987            25   A69-1303-555 16799 2017-04-27 20:04:00          45
-#> 10988            25   A69-1303-555 16801 2017-04-27 20:06:00          45
-#> 10989            25   A69-1303-555 16803 2017-04-27 20:08:00          45
-#> 10990            25   A69-1303-555 16804 2017-04-27 20:10:00          45
-#> 10991            25   A69-1303-555 16806 2017-04-27 20:12:00          45
-#> 10992            25   A69-1303-555 16807 2017-04-27 20:14:00          45
-#> 10993            25   A69-1303-555 16808 2017-04-27 20:16:00          45
-#> 10994            25   A69-1303-555 16810 2017-04-27 20:18:00          45
-#> 10995            25   A69-1303-555 16811 2017-04-27 20:20:00          56
-#> 10996            25   A69-1303-555 16812 2017-04-27 20:20:00          45
-#> 10997            25   A69-1303-555 16813 2017-04-27 20:22:00          45
-#> 10998            25   A69-1303-555 16815 2017-04-27 20:22:00          56
-#> 10999            25   A69-1303-555 16816 2017-04-27 20:24:00          45
-#> 11000            25   A69-1303-555 16818 2017-04-27 20:26:00          45
-#> 11001            25   A69-1303-555 16819 2017-04-27 20:28:00          45
-#> 11002            25   A69-1303-555 16821 2017-04-27 20:28:00          56
-#> 11003            25   A69-1303-555 16822 2017-04-27 20:30:00          45
-#> 11004            25   A69-1303-555 16823 2017-04-27 20:30:00          56
-#> 11005            25   A69-1303-555 16824 2017-04-27 20:32:00          45
-#> 11006            25   A69-1303-555 16825 2017-04-27 20:34:00          45
-#> 11007            25   A69-1303-555 16826 2017-04-27 20:40:00          45
-#> 11008            25   A69-1303-555 16828 2017-04-27 20:44:00          45
-#> 11009            25   A69-1303-555 16829 2017-04-27 20:48:00          45
-#> 11010            25   A69-1303-555 16830 2017-04-27 20:50:00          45
-#> 11011            25   A69-1303-555 16832 2017-04-27 20:52:00          45
-#> 11012            25   A69-1303-555 16834 2017-04-27 20:54:00          45
-#> 11013            25   A69-1303-555 16836 2017-04-27 20:56:00          45
-#> 11014            25   A69-1303-555 16837 2017-04-27 20:58:00          45
-#> 11015            25   A69-1303-555 16839 2017-04-27 21:00:00          45
-#> 11016            25   A69-1303-555 16841 2017-04-27 21:02:00          45
-#> 11017            25   A69-1303-555 16842 2017-04-27 21:04:00          45
-#> 11018            25   A69-1303-555 16844 2017-04-27 21:06:00          45
-#> 11019            25   A69-1303-555 16846 2017-04-27 21:08:00          45
-#> 11020            25   A69-1303-555 16848 2017-04-27 21:10:00          45
-#> 11021            25   A69-1303-555 16849 2017-04-27 21:12:00          45
-#> 11022            25   A69-1303-555 16851 2017-04-27 21:14:00          45
-#> 11023            25   A69-1303-555 16854 2017-04-27 21:16:00          45
-#> 11024            25   A69-1303-555 16855 2017-04-27 21:18:00          45
-#> 11025            25   A69-1303-555 16857 2017-04-27 21:20:00          45
-#> 11026            25   A69-1303-555 16859 2017-04-27 21:22:00          45
-#> 11027            25   A69-1303-555 16860 2017-04-27 21:24:00          45
-#> 11028            25   A69-1303-555 16863 2017-04-27 21:26:00          45
-#> 11029            25   A69-1303-555 16865 2017-04-27 21:28:00          45
-#> 11030            25   A69-1303-555 16867 2017-04-27 21:30:00          45
-#> 11031            25   A69-1303-555 16868 2017-04-27 21:32:00          45
-#> 11032            25   A69-1303-555 16871 2017-04-27 21:38:00          45
-#> 11033            25   A69-1303-555 16873 2017-04-27 21:40:00          45
-#> 11034            25   A69-1303-555 16874 2017-04-27 21:42:00          45
-#> 11035            25   A69-1303-555 16876 2017-04-27 21:46:00          45
-#> 11036            25   A69-1303-555 16877 2017-04-27 21:50:00          45
-#> 11037            25   A69-1303-555 16878 2017-04-27 21:52:00          45
-#> 11038            25   A69-1303-555 16879 2017-04-27 21:54:00          45
-#> 11039            25   A69-1303-555 16881 2017-04-27 21:58:00          45
-#> 11040            25   A69-1303-555 16882 2017-04-27 22:00:00          45
-#> 11041            25   A69-1303-555 16884 2017-04-27 22:04:00          45
-#> 11042            25   A69-1303-555 16887 2017-04-27 22:06:00          45
-#> 11043            25   A69-1303-555 16889 2017-04-27 22:08:00          45
-#> 11044            25   A69-1303-555 16890 2017-04-27 22:10:00          45
-#> 11045            25   A69-1303-555 16891 2017-04-27 22:12:00          45
-#> 11046            25   A69-1303-555 16893 2017-04-27 22:14:00          45
-#> 11047            25   A69-1303-555 16895 2017-04-27 22:16:00          45
-#> 11048            25   A69-1303-555 16896 2017-04-27 22:18:00          45
-#> 11049            25   A69-1303-555 16899 2017-04-27 22:20:00          45
-#> 11050            25   A69-1303-555 16900 2017-04-27 22:22:00          45
-#> 11051            25   A69-1303-555 16901 2017-04-27 22:24:00          45
-#> 11052            25   A69-1303-555 16902 2017-04-27 22:26:00          45
-#> 11053            25   A69-1303-555 16904 2017-04-27 22:28:00          45
-#> 11054            25   A69-1303-555 16905 2017-04-27 22:30:00          45
-#> 11055            25   A69-1303-555 16907 2017-04-27 22:32:00          45
-#> 11056            25   A69-1303-555 16909 2017-04-27 22:34:00          45
-#> 11057            25   A69-1303-555 16910 2017-04-27 22:36:00          45
-#> 11058            25   A69-1303-555 16913 2017-04-27 22:38:00          45
-#> 11059            25   A69-1303-555 16915 2017-04-27 22:40:00          45
-#> 11060            25   A69-1303-555 16917 2017-04-27 22:42:00          45
-#> 11061            25   A69-1303-555 16919 2017-04-27 22:44:00          45
-#> 11062            25   A69-1303-555 16921 2017-04-27 22:46:00          45
-#> 11063            25   A69-1303-555 16922 2017-04-27 22:48:00          45
-#> 11064            25   A69-1303-555 16924 2017-04-27 22:50:00          45
-#> 11065            25   A69-1303-555 16926 2017-04-27 22:52:00          45
-#> 11066            25   A69-1303-555 16927 2017-04-27 22:54:00          45
-#> 11067            25   A69-1303-555 16929 2017-04-27 22:56:00          45
-#> 11068            25   A69-1303-555 16930 2017-04-27 22:58:00          45
-#> 11069            25   A69-1303-555 16932 2017-04-27 23:00:00          45
-#> 11070            25   A69-1303-555 16934 2017-04-27 23:02:00          45
-#> 11071            25   A69-1303-555 16937 2017-04-27 23:04:00          45
-#> 11072            25   A69-1303-555 16939 2017-04-27 23:06:00          45
-#> 11073            25   A69-1303-555 16941 2017-04-27 23:08:00          45
-#> 11074            25   A69-1303-555 16943 2017-04-27 23:10:00          45
-#> 11075            25   A69-1303-555 16944 2017-04-27 23:12:00          45
-#> 11076            25   A69-1303-555 16945 2017-04-27 23:14:00          45
-#> 11077            25   A69-1303-555 16948 2017-04-27 23:16:00          45
-#> 11078            25   A69-1303-555 16950 2017-04-27 23:18:00          45
-#> 11079            25   A69-1303-555 16951 2017-04-27 23:20:00          45
-#> 11080            25   A69-1303-555 16953 2017-04-27 23:22:00          45
-#> 11081            25   A69-1303-555 16954 2017-04-27 23:24:00          45
-#> 11082            25   A69-1303-555 16957 2017-04-27 23:26:00          45
-#> 11083            25   A69-1303-555 16958 2017-04-27 23:28:00          45
-#> 11084            25   A69-1303-555 16960 2017-04-27 23:30:00          45
-#> 11085            25   A69-1303-555 16962 2017-04-27 23:32:00          45
-#> 11086            25   A69-1303-555 16963 2017-04-27 23:34:00          45
-#> 11087            25   A69-1303-555 16965 2017-04-27 23:36:00          45
-#> 11088            25   A69-1303-555 16966 2017-04-27 23:38:00          45
-#> 11089            25   A69-1303-555 16968 2017-04-27 23:40:00          45
-#> 11090            25   A69-1303-555 16969 2017-04-27 23:42:00          45
-#> 11091            25   A69-1303-555 16970 2017-04-27 23:46:00          45
-#> 11092            25   A69-1303-555 16971 2017-04-27 23:48:00          56
-#> 11093            25   A69-1303-555 16972 2017-04-27 23:50:00          45
-#> 11094            25   A69-1303-555 16974 2017-04-27 23:52:00          45
-#> 11095            25   A69-1303-555 16976 2017-04-27 23:54:00          45
-#> 11096            25   A69-1303-555 16977 2017-04-27 23:54:00          56
-#> 11097            25   A69-1303-555 16978 2017-04-27 23:56:00          45
-#> 11098            25   A69-1303-555 16979 2017-04-27 23:58:00          45
-#> 11099            25   A69-1303-555 16981 2017-04-28 00:00:00          56
-#> 11100            25   A69-1303-555 16983 2017-04-28 00:02:00          56
-#> 11101            25   A69-1303-555 16984 2017-04-28 00:04:00          45
-#> 11102            25   A69-1303-555 16985 2017-04-28 00:06:00          56
-#> 11103            25   A69-1303-555 16986 2017-04-28 00:08:00          56
-#> 11104            25   A69-1303-555 16987 2017-04-28 00:10:00          45
-#> 11105            25   A69-1303-555 16988 2017-04-28 00:10:00          56
-#> 11106            25   A69-1303-555 16989 2017-04-28 00:12:00          56
-#> 11107            25   A69-1303-555 16990 2017-04-28 00:12:00          45
-#> 11108            25   A69-1303-555 16991 2017-04-28 00:14:00          45
-#> 11109            25   A69-1303-555 16992 2017-04-28 00:16:00          45
-#> 11110            25   A69-1303-555 16993 2017-04-28 00:16:00          56
-#> 11111            25   A69-1303-555 16995 2017-04-28 00:18:00          45
-#>           receiver receiver_long receiver_lat receiver_depth
-#> 1      VR2W-108163     -5.610733     56.37628             25
-#> 2      VR2W-108163     -5.610733     56.37628             25
-#> 3      VR2W-108163     -5.610733     56.37628             25
-#> 4      VR2W-108163     -5.610733     56.37628             25
-#> 5      VR2W-108163     -5.610733     56.37628             25
-#> 6      VR2W-108163     -5.610733     56.37628             25
-#> 7      VR2W-108163     -5.610733     56.37628             25
-#> 8      VR2W-108163     -5.610733     56.37628             25
-#> 9      VR2W-108163     -5.610733     56.37628             25
-#> 10     VR2W-108163     -5.610733     56.37628             25
-#> 11     VR2W-108163     -5.610733     56.37628             25
-#> 12     VR2W-108163     -5.610733     56.37628             25
-#> 13     VR2W-108163     -5.610733     56.37628             25
-#> 14     VR2W-108163     -5.610733     56.37628             25
-#> 15     VR2W-108163     -5.610733     56.37628             25
-#> 16     VR2W-108163     -5.610733     56.37628             25
-#> 17     VR2W-108163     -5.610733     56.37628             25
-#> 18     VR2W-108163     -5.610733     56.37628             25
-#> 19     VR2W-108158     -5.619533     56.37413             25
-#> 20     VR2W-108163     -5.610733     56.37628             25
-#> 21     VR2W-108163     -5.610733     56.37628             25
-#> 22     VR2W-108158     -5.619533     56.37413             25
-#> 23     VR2W-108158     -5.619533     56.37413             25
-#> 24     VR2W-108158     -5.619533     56.37413             25
-#> 25     VR2W-108158     -5.619533     56.37413             25
-#> 26     VR2W-108158     -5.619533     56.37413             25
-#> 27     VR2W-108158     -5.619533     56.37413             25
-#> 28     VR2W-108158     -5.619533     56.37413             25
-#> 29     VR2W-108158     -5.619533     56.37413             25
-#> 30     VR2W-108158     -5.619533     56.37413             25
-#> 31     VR2W-108158     -5.619533     56.37413             25
-#> 32     VR2W-108158     -5.619533     56.37413             25
-#> 33     VR2W-108158     -5.619533     56.37413             25
-#> 34     VR2W-108158     -5.619533     56.37413             25
-#> 35     VR2W-108158     -5.619533     56.37413             25
-#> 36     VR2W-108158     -5.619533     56.37413             25
-#> 37     VR2W-108158     -5.619533     56.37413             25
-#> 38     VR2W-108158     -5.619533     56.37413             25
-#> 39     VR2W-108158     -5.619533     56.37413             25
-#> 40     VR2W-108158     -5.619533     56.37413             25
-#> 41     VR2W-108158     -5.619533     56.37413             25
-#> 42     VR2W-108158     -5.619533     56.37413             25
-#> 43     VR2W-108163     -5.610733     56.37628             25
-#> 44     VR2W-108163     -5.610733     56.37628             25
-#> 45     VR2W-108163     -5.610733     56.37628             25
-#> 46     VR2W-108163     -5.610733     56.37628             25
-#> 47     VR2W-108163     -5.610733     56.37628             25
-#> 48     VR2W-108163     -5.610733     56.37628             25
-#> 49     VR2W-108163     -5.610733     56.37628             25
-#> 50     VR2W-108163     -5.610733     56.37628             25
-#> 51     VR2W-108163     -5.610733     56.37628             25
-#> 52     VR2W-108158     -5.619533     56.37413             25
-#> 53     VR2W-108158     -5.619533     56.37413             25
-#> 54     VR2W-108163     -5.610733     56.37628             25
-#> 55     VR2W-108163     -5.610733     56.37628             25
-#> 56     VR2W-108163     -5.610733     56.37628             25
-#> 57     VR2W-108163     -5.610733     56.37628             25
-#> 58     VR2W-108163     -5.610733     56.37628             25
-#> 59     VR2W-108163     -5.610733     56.37628             25
-#> 60     VR2W-108163     -5.610733     56.37628             25
-#> 61     VR2W-108163     -5.610733     56.37628             25
-#> 62     VR2W-108163     -5.610733     56.37628             25
-#> 63     VR2W-108163     -5.610733     56.37628             25
-#> 64     VR2W-108163     -5.610733     56.37628             25
-#> 65     VR2W-108163     -5.610733     56.37628             25
-#> 66     VR2W-108163     -5.610733     56.37628             25
-#> 67     VR2W-120722     -5.602283     56.37748             25
-#> 68     VR2W-108163     -5.610733     56.37628             25
-#> 69     VR2W-120722     -5.602283     56.37748             25
-#> 70     VR2W-108163     -5.610733     56.37628             25
-#> 71     VR2W-108163     -5.610733     56.37628             25
-#> 72     VR2W-108163     -5.610733     56.37628             25
-#> 73     VR2W-108163     -5.610733     56.37628             25
-#> 74     VR2W-108163     -5.610733     56.37628             25
-#> 75     VR2W-120722     -5.602283     56.37748             25
-#> 76     VR2W-108163     -5.610733     56.37628             25
-#> 77     VR2W-108163     -5.610733     56.37628             25
-#> 78     VR2W-108163     -5.610733     56.37628             25
-#> 79     VR2W-108163     -5.610733     56.37628             25
-#> 80     VR2W-108163     -5.610733     56.37628             25
-#> 81     VR2W-108163     -5.610733     56.37628             25
-#> 82     VR2W-108163     -5.610733     56.37628             25
-#> 83     VR2W-108163     -5.610733     56.37628             25
-#> 84     VR2W-108163     -5.610733     56.37628             25
-#> 85     VR2W-108163     -5.610733     56.37628             25
-#> 86     VR2W-108163     -5.610733     56.37628             25
-#> 87     VR2W-108163     -5.610733     56.37628             25
-#> 88     VR2W-108163     -5.610733     56.37628             25
-#> 89     VR2W-108163     -5.610733     56.37628             25
-#> 90     VR2W-108163     -5.610733     56.37628             25
-#> 91     VR2W-108163     -5.610733     56.37628             25
-#> 92     VR2W-108163     -5.610733     56.37628             25
-#> 93     VR2W-120722     -5.602283     56.37748             25
-#> 94     VR2W-108163     -5.610733     56.37628             25
-#> 95     VR2W-120722     -5.602283     56.37748             25
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-#> 492       VR2-5637     -5.662083     56.38858             10
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-#> 500    VR2W-108163     -5.610733     56.37628             25
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-#> 699    VR2W-107823     -5.691883     56.49690             25
-#> 700    VR2W-107823     -5.691883     56.49690             25
-#> 701    VR2W-107823     -5.691883     56.49690             25
-#> 702    VR2W-107823     -5.691883     56.49690             25
-#> 703    VR2W-107823     -5.691883     56.49690             25
-#> 704    VR2W-107823     -5.691883     56.49690             25
-#> 705    VR2W-107823     -5.691883     56.49690             25
-#> 706    VR2W-107823     -5.691883     56.49690             25
-#> 707    VR2W-107823     -5.691883     56.49690             25
-#> 708    VR2W-107823     -5.691883     56.49690             25
-#> 709    VR2W-107823     -5.691883     56.49690             25
-#> 710    VR2W-107823     -5.691883     56.49690             25
-#> 711    VR2W-107823     -5.691883     56.49690             25
-#> 712    VR2W-107823     -5.691883     56.49690             25
-#> 713    VR2W-107823     -5.691883     56.49690             25
-#> 714    VR2W-107823     -5.691883     56.49690             25
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-#> 720    VR2W-107823     -5.691883     56.49690             25
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-#> 768    VR2W-107823     -5.691883     56.49690             25
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-#> 774    VR2W-108163     -5.610733     56.37628             25
-#> 775    VR2W-108163     -5.610733     56.37628             25
-#> 776    VR2W-108163     -5.610733     56.37628             25
-#> 777    VR2W-108163     -5.610733     56.37628             25
-#> 778    VR2W-108163     -5.610733     56.37628             25
-#> 779    VR2W-108163     -5.610733     56.37628             25
-#> 780    VR2W-108163     -5.610733     56.37628             25
-#> 781    VR2W-108163     -5.610733     56.37628             25
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-#> 783    VR2W-107823     -5.691883     56.49690             25
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-#> 799    VR2W-107823     -5.691883     56.49690             25
-#> 800    VR2W-107823     -5.691883     56.49690             25
-#> 801    VR2W-107823     -5.691883     56.49690             25
-#> 802    VR2W-107823     -5.691883     56.49690             25
-#> 803    VR2W-107823     -5.691883     56.49690             25
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-#> 871    VR2W-108163     -5.610733     56.37628             25
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-#> 874    VR2W-108160     -5.704867     56.48890             25
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-#> 900    VR2W-108160     -5.704867     56.48890             25
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-#> 2288      VR2-5635     -5.606000     56.52018             50
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-#> 2480   VR2W-113141     -5.755900     56.51000             50
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-#> 3036  VR2AR-546136     -5.665000     56.48650            105
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-#> 3125   VR2W-108160     -5.704867     56.48890             25
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-#> 3267  VR2AR-546136     -5.665000     56.48650            105
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-#> 3269  VR2AR-546136     -5.665000     56.48650            105
-#> 3270  VR2AR-546136     -5.665000     56.48650            105
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-#> 3272  VR2AR-546136     -5.665000     56.48650            105
-#> 3273  VR2AR-546136     -5.665000     56.48650            105
-#> 3274  VR2AR-546136     -5.665000     56.48650            105
-#> 3275  VR2AR-546136     -5.665000     56.48650            105
-#> 3276  VR2AR-546136     -5.665000     56.48650            105
-#> 3277  VR2AR-546136     -5.665000     56.48650            105
-#> 3278  VR2AR-546136     -5.665000     56.48650            105
-#> 3279  VR2AR-546136     -5.665000     56.48650            105
-#> 3280  VR2AR-546136     -5.665000     56.48650            105
-#> 3281  VR2AR-546136     -5.665000     56.48650            105
-#> 3282  VR2AR-546136     -5.665000     56.48650            105
-#> 3283  VR2AR-546136     -5.665000     56.48650            105
-#> 3284  VR2AR-546136     -5.665000     56.48650            105
-#> 3285  VR2AR-546136     -5.665000     56.48650            105
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-#> 3287  VR2AR-546136     -5.665000     56.48650            105
-#> 3288  VR2AR-546136     -5.665000     56.48650            105
-#> 3289  VR2AR-546136     -5.665000     56.48650            105
-#> 3290  VR2AR-546136     -5.665000     56.48650            105
-#> 3291   VR2W-108160     -5.704867     56.48890             25
-#> 3292   VR2W-108160     -5.704867     56.48890             25
-#> 3293   VR2W-108160     -5.704867     56.48890             25
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-#> 3296   VR2W-113141     -5.755900     56.51000             50
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-#> 3784   VR2W-113141     -5.755900     56.51000             50
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-#> 3834   VR2W-108160     -5.704867     56.48890             25
-#> 3835   VR2W-108160     -5.704867     56.48890             25
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-#> 3841   VR2W-108160     -5.704867     56.48890             25
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-#> 3846   VR2W-108160     -5.704867     56.48890             25
-#> 3847   VR2W-108160     -5.704867     56.48890             25
-#> 3848  VR2AR-546136     -5.665000     56.48650            105
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-#> 3876   VR2W-108160     -5.704867     56.48890             25
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-#> 3918  VR2AR-546136     -5.665000     56.48650            105
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-#> 3931   VR2W-113141     -5.755900     56.51000             50
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-#> 4009      VR2-6720     -5.627150     56.50808             50
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-#> 4011   VR2W-113898     -5.596367     56.51122             50
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-#> 4054  VR2AR-546136     -5.665000     56.48650            105
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-#> 4141      VR2-6720     -5.627150     56.50808             50
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-#> 4143      VR2-6720     -5.627150     56.50808             50
-#> 4144  VR2AR-546136     -5.665000     56.48650            105
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-#> 4204   VR2W-108160     -5.704867     56.48890             25
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-#> 4219  VR2AR-546136     -5.665000     56.48650            105
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-#> 4255      VR2-6720     -5.627150     56.50808             50
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-#> 4474      VR2-6720     -5.627150     56.50808             50
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-#> 4479  VR2AR-546134     -5.628000     56.45650             40
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-#> 4493      VR2-6720     -5.627150     56.50808             50
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-#> 4562  VR2AR-546134     -5.628000     56.45650             40
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-#> 4737   VR2W-113141     -5.755900     56.51000             50
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-#> 4747   VR2W-113141     -5.755900     56.51000             50
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-#> 5092   VR2W-120722     -5.602283     56.37748             25
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-#> 5628  VR2AR-546131     -5.612700     56.37988             35
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-#> 5630  VR2AR-546131     -5.612700     56.37988             35
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-#> 5634  VR2AR-546131     -5.612700     56.37988             35
-#> 5635  VR2AR-546131     -5.612700     56.37988             35
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-#> 5638  VR2AR-546131     -5.612700     56.37988             35
-#> 5639  VR2AR-546131     -5.612700     56.37988             35
-#> 5640  VR2AR-546131     -5.612700     56.37988             35
-#> 5641  VR2AR-546131     -5.612700     56.37988             35
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-#> 5646  VR2AR-546136     -5.626250     56.44810             75
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-#> 5649   VR2W-108161     -5.605383     56.46018             25
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-#> 5651  VR2AR-546136     -5.626250     56.44810             75
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-#> 5657  VR2AR-546380     -5.637917     56.44800             25
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-#> 5667  VR2AR-546131     -5.612700     56.37988             35
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-#> 5680  VR2AR-546131     -5.612700     56.37988             35
-#> 5681  VR2AR-546131     -5.612700     56.37988             35
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-#> 5705  VR2AR-546380     -5.637917     56.44800             25
-#> 5706  VR2AR-546380     -5.637917     56.44800             25
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-#> 5708  VR2AR-546380     -5.637917     56.44800             25
-#> 5709  VR2AR-546380     -5.637917     56.44800             25
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-#> 5713  VR2AR-546380     -5.637917     56.44800             25
-#> 5714  VR2AR-546380     -5.637917     56.44800             25
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-#> 5731  VR2AR-546133     -5.701717     56.49747             90
-#> 5732  VR2AR-546133     -5.701717     56.49747             90
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-#> 5742      VR2-5637     -5.692417     56.49913             25
-#> 5743      VR2-5637     -5.692417     56.49913             25
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-#> 5761   VR2W-108161     -5.605383     56.46018             25
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-#> 5784  VR2AR-546131     -5.612700     56.37988             35
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-#> 5922  VR2AR-546131     -5.612700     56.37988             35
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-#> 5937  VR2AR-546131     -5.612700     56.37988             35
-#> 5938  VR2AR-546131     -5.612700     56.37988             35
-#> 5939  VR2AR-546131     -5.612700     56.37988             35
-#> 5940  VR2AR-546131     -5.612700     56.37988             35
-#> 5941  VR2AR-546131     -5.612700     56.37988             35
-#> 5942  VR2AR-546131     -5.612700     56.37988             35
-#> 5943  VR2AR-546131     -5.612700     56.37988             35
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-#> 5946  VR2AR-546131     -5.612700     56.37988             35
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-#> 5948  VR2AR-546131     -5.612700     56.37988             35
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-#> 5951  VR2AR-546131     -5.612700     56.37988             35
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-#> 5954  VR2AR-546131     -5.612700     56.37988             35
-#> 5955  VR2AR-546131     -5.612700     56.37988             35
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-#> 5957  VR2AR-546131     -5.612700     56.37988             35
-#> 5958  VR2AR-546131     -5.612700     56.37988             35
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-#> 5960  VR2AR-546131     -5.612700     56.37988             35
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-#> 5963  VR2AR-546131     -5.612700     56.37988             35
-#> 5964  VR2AR-546131     -5.612700     56.37988             35
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-#> 5966  VR2AR-546131     -5.612700     56.37988             35
-#> 5967  VR2AR-546131     -5.612700     56.37988             35
-#> 5968  VR2AR-546131     -5.612700     56.37988             35
-#> 5969  VR2AR-546131     -5.612700     56.37988             35
-#> 5970  VR2AR-546131     -5.612700     56.37988             35
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-#> 5974  VR2AR-546131     -5.612700     56.37988             35
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-#> 5979  VR2AR-546131     -5.612700     56.37988             35
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-#> 5981  VR2AR-546131     -5.612700     56.37988             35
-#> 5982  VR2AR-546131     -5.612700     56.37988             35
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-#> 5990  VR2AR-546131     -5.612700     56.37988             35
-#> 5991  VR2AR-546131     -5.612700     56.37988             35
-#> 5992  VR2AR-546131     -5.612700     56.37988             35
-#> 5993  VR2AR-546131     -5.612700     56.37988             35
-#> 5994  VR2AR-546131     -5.612700     56.37988             35
-#> 5995  VR2AR-546131     -5.612700     56.37988             35
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-#> 5998  VR2AR-546131     -5.612700     56.37988             35
-#> 5999  VR2AR-546131     -5.612700     56.37988             35
-#> 6000  VR2AR-546131     -5.612700     56.37988             35
-#> 6001  VR2AR-546131     -5.612700     56.37988             35
-#> 6002  VR2AR-546131     -5.612700     56.37988             35
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-#> 6052  VR2AR-546380     -5.637917     56.44800             25
-#> 6053  VR2AR-546380     -5.637917     56.44800             25
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-#> 6056  VR2AR-546380     -5.637917     56.44800             25
-#> 6057  VR2AR-546136     -5.626250     56.44810             75
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-#> 6066  VR2AR-546134     -5.643867     56.38278            145
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-#> 6151  VR2AR-546136     -5.626250     56.44810             75
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-#> 6153      VR2-5637     -5.692417     56.49913             25
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-#> 6156   VR2W-108161     -5.605383     56.46018             25
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-#> 6171  VR2AR-546136     -5.626250     56.44810             75
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-#> 6213  VR2AR-546380     -5.637917     56.44800             25
-#> 6214  VR2AR-546380     -5.637917     56.44800             25
-#> 6215  VR2AR-546380     -5.637917     56.44800             25
-#> 6216  VR2AR-546380     -5.637917     56.44800             25
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-#> 6218  VR2AR-546380     -5.637917     56.44800             25
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-#> 6222  VR2AR-546133     -5.701717     56.49747             90
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-#> 6265      VR2-5637     -5.692417     56.49913             25
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-#> 6282   VR2W-108161     -5.605383     56.46018             25
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-#> 6319  VR2AR-546136     -5.626250     56.44810             75
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-#> 6375  VR2AR-546131     -5.612700     56.37988             35
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-#> 6491   VR2W-108158     -5.619533     56.37413             25
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-#> 6502   VR2W-108160     -5.631733     56.37447             50
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-#> 6508   VR2W-108160     -5.631733     56.37447             50
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-#> 6551   VR2W-108160     -5.631733     56.37447             50
-#> 6552   VR2W-108160     -5.631733     56.37447             50
-#> 6553   VR2W-108160     -5.631733     56.37447             50
-#> 6554   VR2W-108160     -5.631733     56.37447             50
-#> 6555   VR2W-108160     -5.631733     56.37447             50
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-#> 6566  VR2AR-546131     -5.612700     56.37988             35
-#> 6567  VR2AR-546131     -5.612700     56.37988             35
-#> 6568  VR2AR-546131     -5.612700     56.37988             35
-#> 6569  VR2AR-546131     -5.612700     56.37988             35
-#> 6570  VR2AR-546131     -5.612700     56.37988             35
-#> 6571  VR2AR-546131     -5.612700     56.37988             35
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-#> 6573  VR2AR-546131     -5.612700     56.37988             35
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-#> 6575  VR2AR-546131     -5.612700     56.37988             35
-#> 6576  VR2AR-546131     -5.612700     56.37988             35
-#> 6577  VR2AR-546131     -5.612700     56.37988             35
-#> 6578  VR2AR-546131     -5.612700     56.37988             35
-#> 6579  VR2AR-546131     -5.612700     56.37988             35
-#> 6580  VR2AR-546131     -5.612700     56.37988             35
-#> 6581  VR2AR-546131     -5.612700     56.37988             35
-#> 6582  VR2AR-546131     -5.612700     56.37988             35
-#> 6583  VR2AR-546131     -5.612700     56.37988             35
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-#> 6595  VR2AR-546131     -5.612700     56.37988             35
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-#> 6599  VR2AR-546131     -5.612700     56.37988             35
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-#> 6602  VR2AR-546131     -5.612700     56.37988             35
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-#> 6638  VR2AR-546131     -5.612700     56.37988             35
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-#> 6641  VR2AR-546131     -5.612700     56.37988             35
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-#> 6728  VR2AR-546134     -5.643867     56.38278            145
-#> 6729  VR2AR-546134     -5.643867     56.38278            145
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-#> 6735  VR2AR-546134     -5.643867     56.38278            145
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-#> 6738  VR2AR-546134     -5.643867     56.38278            145
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-#> 6744  VR2AR-546136     -5.626250     56.44810             75
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-#> 6746  VR2AR-546131     -5.612700     56.37988             35
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-#> 6798  VR2AR-546131     -5.612700     56.37988             35
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-#> 6800  VR2AR-546131     -5.612700     56.37988             35
-#> 6801  VR2AR-546131     -5.612700     56.37988             35
-#> 6802  VR2AR-546131     -5.612700     56.37988             35
-#> 6803  VR2AR-546131     -5.612700     56.37988             35
-#> 6804  VR2AR-546131     -5.612700     56.37988             35
-#> 6805  VR2AR-546131     -5.612700     56.37988             35
-#> 6806  VR2AR-546131     -5.612700     56.37988             35
-#> 6807  VR2AR-546131     -5.612700     56.37988             35
-#> 6808  VR2AR-546131     -5.612700     56.37988             35
-#> 6809  VR2AR-546131     -5.612700     56.37988             35
-#> 6810  VR2AR-546131     -5.612700     56.37988             35
-#> 6811  VR2AR-546131     -5.612700     56.37988             35
-#> 6812  VR2AR-546131     -5.612700     56.37988             35
-#> 6813  VR2AR-546131     -5.612700     56.37988             35
-#> 6814  VR2AR-546131     -5.612700     56.37988             35
-#> 6815  VR2AR-546131     -5.612700     56.37988             35
-#> 6816  VR2AR-546131     -5.612700     56.37988             35
-#> 6817  VR2AR-546131     -5.612700     56.37988             35
-#> 6818  VR2AR-546131     -5.612700     56.37988             35
-#> 6819  VR2AR-546131     -5.612700     56.37988             35
-#> 6820  VR2AR-546131     -5.612700     56.37988             35
-#> 6821  VR2AR-546131     -5.612700     56.37988             35
-#> 6822  VR2AR-546131     -5.612700     56.37988             35
-#> 6823  VR2AR-546131     -5.612700     56.37988             35
-#> 6824  VR2AR-546131     -5.612700     56.37988             35
-#> 6825  VR2AR-546131     -5.612700     56.37988             35
-#> 6826  VR2AR-546131     -5.612700     56.37988             35
-#> 6827  VR2AR-546131     -5.612700     56.37988             35
-#> 6828  VR2AR-546131     -5.612700     56.37988             35
-#> 6829  VR2AR-546131     -5.612700     56.37988             35
-#> 6830  VR2AR-546131     -5.612700     56.37988             35
-#> 6831  VR2AR-546131     -5.612700     56.37988             35
-#> 6832  VR2AR-546131     -5.612700     56.37988             35
-#> 6833  VR2AR-546131     -5.612700     56.37988             35
-#> 6834  VR2AR-546131     -5.612700     56.37988             35
-#> 6835  VR2AR-546131     -5.612700     56.37988             35
-#> 6836  VR2AR-546131     -5.612700     56.37988             35
-#> 6837  VR2AR-546131     -5.612700     56.37988             35
-#> 6838  VR2AR-546131     -5.612700     56.37988             35
-#> 6839  VR2AR-546131     -5.612700     56.37988             35
-#> 6840  VR2AR-546131     -5.612700     56.37988             35
-#> 6841  VR2AR-546131     -5.612700     56.37988             35
-#> 6842  VR2AR-546131     -5.612700     56.37988             35
-#> 6843  VR2AR-546131     -5.612700     56.37988             35
-#> 6844  VR2AR-546131     -5.612700     56.37988             35
-#> 6845  VR2AR-546131     -5.612700     56.37988             35
-#> 6846  VR2AR-546131     -5.612700     56.37988             35
-#> 6847  VR2AR-546131     -5.612700     56.37988             35
-#> 6848  VR2AR-546131     -5.612700     56.37988             35
-#> 6849  VR2AR-546131     -5.612700     56.37988             35
-#> 6850  VR2AR-546131     -5.612700     56.37988             35
-#> 6851  VR2AR-546131     -5.612700     56.37988             35
-#> 6852  VR2AR-546131     -5.612700     56.37988             35
-#> 6853  VR2AR-546131     -5.612700     56.37988             35
-#> 6854  VR2AR-546131     -5.612700     56.37988             35
-#> 6855  VR2AR-546131     -5.612700     56.37988             35
-#> 6856  VR2AR-546131     -5.612700     56.37988             35
-#> 6857  VR2AR-546131     -5.612700     56.37988             35
-#> 6858  VR2AR-546131     -5.612700     56.37988             35
-#> 6859  VR2AR-546131     -5.612700     56.37988             35
-#> 6860  VR2AR-546131     -5.612700     56.37988             35
-#> 6861  VR2AR-546131     -5.612700     56.37988             35
-#> 6862  VR2AR-546131     -5.612700     56.37988             35
-#> 6863  VR2AR-546131     -5.612700     56.37988             35
-#> 6864  VR2AR-546131     -5.612700     56.37988             35
-#> 6865  VR2AR-546131     -5.612700     56.37988             35
-#> 6866  VR2AR-546131     -5.612700     56.37988             35
-#> 6867  VR2AR-546131     -5.612700     56.37988             35
-#> 6868  VR2AR-546131     -5.612700     56.37988             35
-#> 6869  VR2AR-546131     -5.612700     56.37988             35
-#> 6870  VR2AR-546131     -5.612700     56.37988             35
-#> 6871  VR2AR-546131     -5.612700     56.37988             35
-#> 6872  VR2AR-546131     -5.612700     56.37988             35
-#> 6873  VR2AR-546131     -5.612700     56.37988             35
-#> 6874  VR2AR-546131     -5.612700     56.37988             35
-#> 6875  VR2AR-546131     -5.612700     56.37988             35
-#> 6876  VR2AR-546131     -5.612700     56.37988             35
-#> 6877  VR2AR-546131     -5.612700     56.37988             35
-#> 6878  VR2AR-546131     -5.612700     56.37988             35
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-#> 6880  VR2AR-546131     -5.612700     56.37988             35
-#> 6881  VR2AR-546131     -5.612700     56.37988             35
-#> 6882  VR2AR-546131     -5.612700     56.37988             35
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-#> 6888  VR2AR-546131     -5.612700     56.37988             35
-#> 6889  VR2AR-546131     -5.612700     56.37988             35
-#> 6890  VR2AR-546131     -5.612700     56.37988             35
-#> 6891  VR2AR-546131     -5.612700     56.37988             35
-#> 6892  VR2AR-546131     -5.612700     56.37988             35
-#> 6893  VR2AR-546131     -5.612700     56.37988             35
-#> 6894  VR2AR-546131     -5.612700     56.37988             35
-#> 6895  VR2AR-546131     -5.612700     56.37988             35
-#> 6896  VR2AR-546131     -5.612700     56.37988             35
-#> 6897  VR2AR-546131     -5.612700     56.37988             35
-#> 6898  VR2AR-546131     -5.612700     56.37988             35
-#> 6899  VR2AR-546131     -5.612700     56.37988             35
-#> 6900  VR2AR-546131     -5.612700     56.37988             35
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-#> 6902  VR2AR-546131     -5.612700     56.37988             35
-#> 6903  VR2AR-546136     -5.626250     56.44810             75
-#> 6904  VR2AR-546136     -5.626250     56.44810             75
-#> 6905  VR2AR-546136     -5.626250     56.44810             75
-#> 6906  VR2AR-546136     -5.626250     56.44810             75
-#> 6907  VR2AR-546136     -5.626250     56.44810             75
-#> 6908  VR2AR-546136     -5.626250     56.44810             75
-#> 6909      VR2-6723     -5.586383     56.50332             50
-#> 6910  VR2AR-546133     -5.701717     56.49747             90
-#> 6911  VR2AR-546133     -5.701717     56.49747             90
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-#> 6932   VR2W-108161     -5.605383     56.46018             25
-#> 6933   VR2W-108161     -5.605383     56.46018             25
-#> 6934   VR2W-108161     -5.605383     56.46018             25
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-#> 6938   VR2W-108161     -5.605383     56.46018             25
-#> 6939  VR2AR-546136     -5.626250     56.44810             75
-#> 6940  VR2AR-546136     -5.626250     56.44810             75
-#> 6941  VR2AR-546136     -5.626250     56.44810             75
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-#> 6944  VR2AR-546136     -5.626250     56.44810             75
-#> 6945  VR2AR-546131     -5.612700     56.37988             35
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-#> 7069  VR2AR-546380     -5.637917     56.44800             25
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-#> 7089  VR2AR-546380     -5.637917     56.44800             25
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-#> 7091  VR2AR-546380     -5.637917     56.44800             25
-#> 7092  VR2AR-546380     -5.637917     56.44800             25
-#> 7093  VR2AR-546380     -5.637917     56.44800             25
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-#> 7095  VR2AR-546380     -5.637917     56.44800             25
-#> 7096  VR2AR-546380     -5.637917     56.44800             25
-#> 7097  VR2AR-546380     -5.637917     56.44800             25
-#> 7098  VR2AR-546380     -5.637917     56.44800             25
-#> 7099  VR2AR-546380     -5.637917     56.44800             25
-#> 7100  VR2AR-546380     -5.637917     56.44800             25
-#> 7101  VR2AR-546380     -5.637917     56.44800             25
-#> 7102  VR2AR-546380     -5.637917     56.44800             25
-#> 7103  VR2AR-546380     -5.637917     56.44800             25
-#> 7104  VR2AR-546380     -5.637917     56.44800             25
-#> 7105  VR2AR-546380     -5.637917     56.44800             25
-#> 7106  VR2AR-546380     -5.637917     56.44800             25
-#> 7107  VR2AR-546380     -5.637917     56.44800             25
-#> 7108  VR2AR-546380     -5.637917     56.44800             25
-#> 7109  VR2AR-546380     -5.637917     56.44800             25
-#> 7110  VR2AR-546380     -5.637917     56.44800             25
-#> 7111  VR2AR-546380     -5.637917     56.44800             25
-#> 7112  VR2AR-546380     -5.637917     56.44800             25
-#> 7113  VR2AR-546380     -5.637917     56.44800             25
-#> 7114  VR2AR-546380     -5.637917     56.44800             25
-#> 7115  VR2AR-546380     -5.637917     56.44800             25
-#> 7116  VR2AR-546380     -5.637917     56.44800             25
-#> 7117  VR2AR-546380     -5.637917     56.44800             25
-#> 7118  VR2AR-546380     -5.637917     56.44800             25
-#> 7119  VR2AR-546380     -5.637917     56.44800             25
-#> 7120  VR2AR-546380     -5.637917     56.44800             25
-#> 7121  VR2AR-546380     -5.637917     56.44800             25
-#> 7122  VR2AR-546380     -5.637917     56.44800             25
-#> 7123  VR2AR-546380     -5.637917     56.44800             25
-#> 7124  VR2AR-546380     -5.637917     56.44800             25
-#> 7125  VR2AR-546380     -5.637917     56.44800             25
-#> 7126  VR2AR-546380     -5.637917     56.44800             25
-#> 7127  VR2AR-546380     -5.637917     56.44800             25
-#> 7128  VR2AR-546380     -5.637917     56.44800             25
-#> 7129  VR2AR-546380     -5.637917     56.44800             25
-#> 7130  VR2AR-546380     -5.637917     56.44800             25
-#> 7131  VR2AR-546380     -5.637917     56.44800             25
-#> 7132  VR2AR-546380     -5.637917     56.44800             25
-#> 7133  VR2AR-546380     -5.637917     56.44800             25
-#> 7134  VR2AR-546380     -5.637917     56.44800             25
-#> 7135  VR2AR-546380     -5.637917     56.44800             25
-#> 7136  VR2AR-546380     -5.637917     56.44800             25
-#> 7137  VR2AR-546380     -5.637917     56.44800             25
-#> 7138  VR2AR-546380     -5.637917     56.44800             25
-#> 7139  VR2AR-546133     -5.701717     56.49747             90
-#> 7140  VR2AR-546133     -5.701717     56.49747             90
-#> 7141  VR2AR-546133     -5.701717     56.49747             90
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-#> 7143  VR2AR-546133     -5.701717     56.49747             90
-#> 7144  VR2AR-546133     -5.701717     56.49747             90
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-#> 7150  VR2AR-546133     -5.701717     56.49747             90
-#> 7151  VR2AR-546133     -5.701717     56.49747             90
-#> 7152  VR2AR-546133     -5.701717     56.49747             90
-#> 7153      VR2-5637     -5.692417     56.49913             25
-#> 7154  VR2AR-546133     -5.701717     56.49747             90
-#> 7155  VR2AR-546133     -5.701717     56.49747             90
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-#> 7157  VR2AR-546133     -5.701717     56.49747             90
-#> 7158      VR2-5637     -5.692417     56.49913             25
-#> 7159   VR2W-108161     -5.605383     56.46018             25
-#> 7160   VR2W-108161     -5.605383     56.46018             25
-#> 7161   VR2W-108161     -5.605383     56.46018             25
-#> 7162   VR2W-108161     -5.605383     56.46018             25
-#> 7163   VR2W-108161     -5.605383     56.46018             25
-#> 7164   VR2W-108161     -5.605383     56.46018             25
-#> 7165   VR2W-108161     -5.605383     56.46018             25
-#> 7166   VR2W-108161     -5.605383     56.46018             25
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-#> 7168   VR2W-108161     -5.605383     56.46018             25
-#> 7169   VR2W-108161     -5.605383     56.46018             25
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-#> 7171   VR2W-108161     -5.605383     56.46018             25
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-#> 7178   VR2W-108161     -5.605383     56.46018             25
-#> 7179  VR2AR-546136     -5.626250     56.44810             75
-#> 7180  VR2AR-546136     -5.626250     56.44810             75
-#> 7181  VR2AR-546136     -5.626250     56.44810             75
-#> 7182  VR2AR-546136     -5.626250     56.44810             75
-#> 7183  VR2AR-546136     -5.626250     56.44810             75
-#> 7184  VR2AR-546136     -5.626250     56.44810             75
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-#> 7186  VR2AR-546136     -5.626250     56.44810             75
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-#> 7191  VR2AR-546136     -5.626250     56.44810             75
-#> 7192  VR2AR-546131     -5.612700     56.37988             35
-#> 7193  VR2AR-546131     -5.612700     56.37988             35
-#> 7194  VR2AR-546131     -5.612700     56.37988             35
-#> 7195  VR2AR-546131     -5.612700     56.37988             35
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-#> 7198  VR2AR-546131     -5.612700     56.37988             35
-#> 7199  VR2AR-546131     -5.612700     56.37988             35
-#> 7200  VR2AR-546131     -5.612700     56.37988             35
-#> 7201  VR2AR-546131     -5.612700     56.37988             35
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-#> 7205  VR2AR-546131     -5.612700     56.37988             35
-#> 7206  VR2AR-546131     -5.612700     56.37988             35
-#> 7207  VR2AR-546131     -5.612700     56.37988             35
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-#> 7221  VR2AR-546131     -5.612700     56.37988             35
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-#> 7224  VR2AR-546131     -5.612700     56.37988             35
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-#> 7226  VR2AR-546131     -5.612700     56.37988             35
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-#> 7236  VR2AR-546131     -5.612700     56.37988             35
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-#> 7238  VR2AR-546131     -5.612700     56.37988             35
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-#> 7240  VR2AR-546131     -5.612700     56.37988             35
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-#> 7265  VR2AR-546131     -5.612700     56.37988             35
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-#> 7270  VR2AR-546131     -5.612700     56.37988             35
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-#> 7277  VR2AR-546133     -5.701717     56.49747             90
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-#> 7297      VR2-5637     -5.692417     56.49913             25
-#> 7298      VR2-5630     -5.591217     56.50710             50
-#> 7299      VR2-5630     -5.591217     56.50710             50
-#> 7300      VR2-5630     -5.591217     56.50710             50
-#> 7301      VR2-5630     -5.591217     56.50710             50
-#> 7302      VR2-5630     -5.591217     56.50710             50
-#> 7303      VR2-5630     -5.591217     56.50710             50
-#> 7304      VR2-5630     -5.591217     56.50710             50
-#> 7305      VR2-5630     -5.591217     56.50710             50
-#> 7306      VR2-5630     -5.591217     56.50710             50
-#> 7307      VR2-5630     -5.591217     56.50710             50
-#> 7308      VR2-5630     -5.591217     56.50710             50
-#> 7309      VR2-6723     -5.586383     56.50332             50
-#> 7310      VR2-6723     -5.586383     56.50332             50
-#> 7311      VR2-6723     -5.586383     56.50332             50
-#> 7312      VR2-6723     -5.586383     56.50332             50
-#> 7313      VR2-6723     -5.586383     56.50332             50
-#> 7314   VR2W-108163     -5.586717     56.49755             25
-#> 7315      VR2-6723     -5.586383     56.50332             50
-#> 7316   VR2W-108163     -5.586717     56.49755             25
-#> 7317   VR2W-108163     -5.586717     56.49755             25
-#> 7318      VR2-6723     -5.586383     56.50332             50
-#> 7319   VR2W-108163     -5.586717     56.49755             25
-#> 7320   VR2W-108163     -5.586717     56.49755             25
-#> 7321   VR2W-108161     -5.605383     56.46018             25
-#> 7322   VR2W-108161     -5.605383     56.46018             25
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-#> 7340   VR2W-108161     -5.605383     56.46018             25
-#> 7341   VR2W-108161     -5.605383     56.46018             25
-#> 7342  VR2AR-546136     -5.626250     56.44810             75
-#> 7343  VR2AR-546136     -5.626250     56.44810             75
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-#> 7345  VR2AR-546131     -5.612700     56.37988             35
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-#> 7382  VR2AR-546131     -5.612700     56.37988             35
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-#> 7384  VR2AR-546131     -5.612700     56.37988             35
-#> 7385  VR2AR-546131     -5.612700     56.37988             35
-#> 7386  VR2AR-546131     -5.612700     56.37988             35
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-#> 7389  VR2AR-546131     -5.612700     56.37988             35
-#> 7390  VR2AR-546131     -5.612700     56.37988             35
-#> 7391  VR2AR-546131     -5.612700     56.37988             35
-#> 7392  VR2AR-546131     -5.612700     56.37988             35
-#> 7393  VR2AR-546131     -5.612700     56.37988             35
-#> 7394  VR2AR-546131     -5.612700     56.37988             35
-#> 7395  VR2AR-546131     -5.612700     56.37988             35
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-#> 7397  VR2AR-546131     -5.612700     56.37988             35
-#> 7398  VR2AR-546131     -5.612700     56.37988             35
-#> 7399  VR2AR-546131     -5.612700     56.37988             35
-#> 7400  VR2AR-546131     -5.612700     56.37988             35
-#> 7401  VR2AR-546131     -5.612700     56.37988             35
-#> 7402  VR2AR-546131     -5.612700     56.37988             35
-#> 7403  VR2AR-546131     -5.612700     56.37988             35
-#> 7404  VR2AR-546131     -5.612700     56.37988             35
-#> 7405  VR2AR-546131     -5.612700     56.37988             35
-#> 7406  VR2AR-546131     -5.612700     56.37988             35
-#> 7407  VR2AR-546131     -5.612700     56.37988             35
-#> 7408  VR2AR-546131     -5.612700     56.37988             35
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-#> 7416  VR2AR-546131     -5.612700     56.37988             35
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-#> 7419  VR2AR-546131     -5.612700     56.37988             35
-#> 7420  VR2AR-546131     -5.612700     56.37988             35
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-#> 7427  VR2AR-546131     -5.612700     56.37988             35
-#> 7428  VR2AR-546131     -5.612700     56.37988             35
-#> 7429  VR2AR-546131     -5.612700     56.37988             35
-#> 7430  VR2AR-546131     -5.612700     56.37988             35
-#> 7431  VR2AR-546131     -5.612700     56.37988             35
-#> 7432  VR2AR-546131     -5.612700     56.37988             35
-#> 7433  VR2AR-546131     -5.612700     56.37988             35
-#> 7434  VR2AR-546131     -5.612700     56.37988             35
-#> 7435  VR2AR-546131     -5.612700     56.37988             35
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-#> 7437  VR2AR-546131     -5.612700     56.37988             35
-#> 7438  VR2AR-546131     -5.612700     56.37988             35
-#> 7439  VR2AR-546131     -5.612700     56.37988             35
-#> 7440  VR2AR-546131     -5.612700     56.37988             35
-#> 7441  VR2AR-546131     -5.612700     56.37988             35
-#> 7442  VR2AR-546131     -5.612700     56.37988             35
-#> 7443  VR2AR-546131     -5.612700     56.37988             35
-#> 7444  VR2AR-546131     -5.612700     56.37988             35
-#> 7445  VR2AR-546131     -5.612700     56.37988             35
-#> 7446  VR2AR-546131     -5.612700     56.37988             35
-#> 7447  VR2AR-546131     -5.612700     56.37988             35
-#> 7448  VR2AR-546131     -5.612700     56.37988             35
-#> 7449  VR2AR-546131     -5.612700     56.37988             35
-#> 7450  VR2AR-546131     -5.612700     56.37988             35
-#> 7451  VR2AR-546131     -5.612700     56.37988             35
-#> 7452  VR2AR-546131     -5.612700     56.37988             35
-#> 7453  VR2AR-546131     -5.612700     56.37988             35
-#> 7454  VR2AR-546131     -5.612700     56.37988             35
-#> 7455  VR2AR-546131     -5.612700     56.37988             35
-#> 7456  VR2AR-546131     -5.612700     56.37988             35
-#> 7457  VR2AR-546131     -5.612700     56.37988             35
-#> 7458  VR2AR-546131     -5.612700     56.37988             35
-#> 7459  VR2AR-546131     -5.612700     56.37988             35
-#> 7460  VR2AR-546131     -5.612700     56.37988             35
-#> 7461  VR2AR-546131     -5.612700     56.37988             35
-#> 7462  VR2AR-546131     -5.612700     56.37988             35
-#> 7463  VR2AR-546131     -5.612700     56.37988             35
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-#> 7469  VR2AR-546131     -5.612700     56.37988             35
-#> 7470  VR2AR-546131     -5.612700     56.37988             35
-#> 7471  VR2AR-546131     -5.612700     56.37988             35
-#> 7472  VR2AR-546131     -5.612700     56.37988             35
-#> 7473  VR2AR-546131     -5.612700     56.37988             35
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-#> 7476  VR2AR-546131     -5.612700     56.37988             35
-#> 7477  VR2AR-546131     -5.612700     56.37988             35
-#> 7478  VR2AR-546131     -5.612700     56.37988             35
-#> 7479  VR2AR-546131     -5.612700     56.37988             35
-#> 7480  VR2AR-546131     -5.612700     56.37988             35
-#> 7481  VR2AR-546131     -5.612700     56.37988             35
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-#> 7500  VR2AR-546131     -5.612700     56.37988             35
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-#> 7502  VR2AR-546131     -5.612700     56.37988             35
-#> 7503  VR2AR-546131     -5.612700     56.37988             35
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-#> 7548  VR2AR-546380     -5.637917     56.44800             25
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-#> 7578   VR2W-108157     -5.710933     56.48492             10
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-#> 7605  VR2AR-546132     -5.710100     56.49120             25
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-#> 7631      VR2-5637     -5.692417     56.49913             25
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-#> 7674  VR2AR-546133     -5.701717     56.49747             90
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-#> 7679  VR2AR-546133     -5.701717     56.49747             90
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-#> 7754  VR2AR-546133     -5.701717     56.49747             90
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-#> 7770  VR2AR-546133     -5.701717     56.49747             90
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-#> 7791  VR2AR-546133     -5.701717     56.49747             90
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-#> 7823      VR2-5637     -5.692417     56.49913             25
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-#> 7828      VR2-5630     -5.591217     56.50710             50
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-#> 7853      VR2-6723     -5.586383     56.50332             50
-#> 7854      VR2-6723     -5.586383     56.50332             50
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-#> 7859   VR2W-108163     -5.586717     56.49755             25
-#> 7860   VR2W-108163     -5.586717     56.49755             25
-#> 7861   VR2W-108163     -5.586717     56.49755             25
-#> 7862   VR2W-108163     -5.586717     56.49755             25
-#> 7863      VR2-6723     -5.586383     56.50332             50
-#> 7864   VR2W-108163     -5.586717     56.49755             25
-#> 7865   VR2W-108163     -5.586717     56.49755             25
-#> 7866      VR2-6723     -5.586383     56.50332             50
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-#> 7868      VR2-6723     -5.586383     56.50332             50
-#> 7869   VR2W-108163     -5.586717     56.49755             25
-#> 7870  VR2AR-546136     -5.626250     56.44810             75
-#> 7871  VR2AR-546136     -5.626250     56.44810             75
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-#> 7874  VR2AR-546131     -5.612700     56.37988             35
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-#> 7969  VR2AR-546131     -5.612700     56.37988             35
-#> 7970  VR2AR-546131     -5.612700     56.37988             35
-#> 7971  VR2AR-546131     -5.612700     56.37988             35
-#> 7972  VR2AR-546136     -5.626250     56.44810             75
-#> 7973  VR2AR-546380     -5.637917     56.44800             25
-#> 7974  VR2AR-546380     -5.637917     56.44800             25
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-#> 7978  VR2AR-546380     -5.637917     56.44800             25
-#> 7979  VR2AR-546136     -5.626250     56.44810             75
-#> 7980  VR2AR-546380     -5.637917     56.44800             25
-#> 7981  VR2AR-546380     -5.637917     56.44800             25
-#> 7982  VR2AR-546380     -5.637917     56.44800             25
-#> 7983  VR2AR-546380     -5.637917     56.44800             25
-#> 7984  VR2AR-546136     -5.626250     56.44810             75
-#> 7985  VR2AR-546380     -5.637917     56.44800             25
-#> 7986  VR2AR-546380     -5.637917     56.44800             25
-#> 7987  VR2AR-546380     -5.637917     56.44800             25
-#> 7988  VR2AR-546136     -5.626250     56.44810             75
-#> 7989  VR2AR-546136     -5.626250     56.44810             75
-#> 7990  VR2AR-546380     -5.637917     56.44800             25
-#> 7991  VR2AR-546136     -5.626250     56.44810             75
-#> 7992  VR2AR-546136     -5.626250     56.44810             75
-#> 7993  VR2AR-546136     -5.626250     56.44810             75
-#> 7994  VR2AR-546131     -5.612700     56.37988             35
-#> 7995  VR2AR-546131     -5.612700     56.37988             35
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-#> 8000  VR2AR-546131     -5.612700     56.37988             35
-#> 8001  VR2AR-546131     -5.612700     56.37988             35
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-#> 8027  VR2AR-546131     -5.612700     56.37988             35
-#> 8028  VR2AR-546131     -5.612700     56.37988             35
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-#> 8038  VR2AR-546131     -5.612700     56.37988             35
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-#> 8061  VR2AR-546131     -5.612700     56.37988             35
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-#> 8070  VR2AR-546131     -5.612700     56.37988             35
-#> 8071  VR2AR-546131     -5.612700     56.37988             35
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-#> 8199  VR2AR-546134     -5.643867     56.38278            145
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-#> 8207  VR2AR-546135     -5.657067     56.38803             85
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-#> 8228  VR2AR-546380     -5.637917     56.44800             25
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-#> 8235      VR2-5637     -5.692417     56.49913             25
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-#> 8260  VR2AR-546134     -5.643867     56.38278            145
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-#> 8294  VR2AR-546135     -5.657067     56.38803             85
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-#> 8351   VR2W-108160     -5.631733     56.37447             50
-#> 8352  VR2AR-546131     -5.612700     56.37988             35
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-#> 8550  VR2AR-546131     -5.612700     56.37988             35
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-#> 8552  VR2AR-546131     -5.612700     56.37988             35
-#> 8553  VR2AR-546131     -5.612700     56.37988             35
-#> 8554  VR2AR-546131     -5.612700     56.37988             35
-#> 8555  VR2AR-546131     -5.612700     56.37988             35
-#> 8556  VR2AR-546131     -5.612700     56.37988             35
-#> 8557  VR2AR-546131     -5.612700     56.37988             35
-#> 8558  VR2AR-546131     -5.612700     56.37988             35
-#> 8559  VR2AR-546131     -5.612700     56.37988             35
-#> 8560  VR2AR-546131     -5.612700     56.37988             35
-#> 8561  VR2AR-546131     -5.612700     56.37988             35
-#> 8562  VR2AR-546131     -5.612700     56.37988             35
-#> 8563  VR2AR-546131     -5.612700     56.37988             35
-#> 8564  VR2AR-546131     -5.612700     56.37988             35
-#> 8565  VR2AR-546131     -5.612700     56.37988             35
-#> 8566  VR2AR-546131     -5.612700     56.37988             35
-#> 8567  VR2AR-546131     -5.612700     56.37988             35
-#> 8568  VR2AR-546131     -5.612700     56.37988             35
-#> 8569  VR2AR-546131     -5.612700     56.37988             35
-#> 8570  VR2AR-546131     -5.612700     56.37988             35
-#> 8571  VR2AR-546131     -5.612700     56.37988             35
-#> 8572  VR2AR-546131     -5.612700     56.37988             35
-#> 8573  VR2AR-546131     -5.612700     56.37988             35
-#> 8574  VR2AR-546131     -5.612700     56.37988             35
-#> 8575  VR2AR-546131     -5.612700     56.37988             35
-#> 8576  VR2AR-546131     -5.612700     56.37988             35
-#> 8577  VR2AR-546131     -5.612700     56.37988             35
-#> 8578  VR2AR-546131     -5.612700     56.37988             35
-#> 8579  VR2AR-546131     -5.612700     56.37988             35
-#> 8580  VR2AR-546131     -5.612700     56.37988             35
-#> 8581  VR2AR-546131     -5.612700     56.37988             35
-#> 8582  VR2AR-546131     -5.612700     56.37988             35
-#> 8583  VR2AR-546131     -5.612700     56.37988             35
-#> 8584  VR2AR-546131     -5.612700     56.37988             35
-#> 8585  VR2AR-546131     -5.612700     56.37988             35
-#> 8586  VR2AR-546131     -5.612700     56.37988             35
-#> 8587  VR2AR-546131     -5.612700     56.37988             35
-#> 8588  VR2AR-546131     -5.612700     56.37988             35
-#> 8589  VR2AR-546131     -5.612700     56.37988             35
-#> 8590  VR2AR-546131     -5.612700     56.37988             35
-#> 8591  VR2AR-546131     -5.612700     56.37988             35
-#> 8592  VR2AR-546131     -5.612700     56.37988             35
-#> 8593  VR2AR-546136     -5.626250     56.44810             75
-#> 8594  VR2AR-546136     -5.626250     56.44810             75
-#> 8595  VR2AR-546136     -5.626250     56.44810             75
-#> 8596  VR2AR-546136     -5.626250     56.44810             75
-#> 8597  VR2AR-546136     -5.626250     56.44810             75
-#> 8598  VR2AR-546136     -5.626250     56.44810             75
-#> 8599      VR2-5637     -5.692417     56.49913             25
-#> 8600      VR2-5637     -5.692417     56.49913             25
-#> 8601      VR2-5637     -5.692417     56.49913             25
-#> 8602      VR2-5637     -5.692417     56.49913             25
-#> 8603      VR2-5637     -5.692417     56.49913             25
-#> 8604      VR2-5637     -5.692417     56.49913             25
-#> 8605      VR2-5637     -5.692417     56.49913             25
-#> 8606      VR2-5637     -5.692417     56.49913             25
-#> 8607      VR2-5637     -5.692417     56.49913             25
-#> 8608      VR2-5637     -5.692417     56.49913             25
-#> 8609      VR2-5637     -5.692417     56.49913             25
-#> 8610      VR2-5637     -5.692417     56.49913             25
-#> 8611      VR2-5637     -5.692417     56.49913             25
-#> 8612      VR2-5637     -5.692417     56.49913             25
-#> 8613      VR2-5637     -5.692417     56.49913             25
-#> 8614      VR2-5637     -5.692417     56.49913             25
-#> 8615      VR2-5637     -5.692417     56.49913             25
-#> 8616  VR2AR-546133     -5.701717     56.49747             90
-#> 8617  VR2AR-546133     -5.701717     56.49747             90
-#> 8618  VR2AR-546133     -5.701717     56.49747             90
-#> 8619  VR2AR-546133     -5.701717     56.49747             90
-#> 8620  VR2AR-546133     -5.701717     56.49747             90
-#> 8621  VR2AR-546133     -5.701717     56.49747             90
-#> 8622  VR2AR-546133     -5.701717     56.49747             90
-#> 8623      VR2-5637     -5.692417     56.49913             25
-#> 8624      VR2-5637     -5.692417     56.49913             25
-#> 8625      VR2-5637     -5.692417     56.49913             25
-#> 8626      VR2-5637     -5.692417     56.49913             25
-#> 8627      VR2-5637     -5.692417     56.49913             25
-#> 8628      VR2-5637     -5.692417     56.49913             25
-#> 8629      VR2-5637     -5.692417     56.49913             25
-#> 8630      VR2-5637     -5.692417     56.49913             25
-#> 8631      VR2-5637     -5.692417     56.49913             25
-#> 8632      VR2-5637     -5.692417     56.49913             25
-#> 8633      VR2-5637     -5.692417     56.49913             25
-#> 8634      VR2-5637     -5.692417     56.49913             25
-#> 8635      VR2-5637     -5.692417     56.49913             25
-#> 8636      VR2-5637     -5.692417     56.49913             25
-#> 8637      VR2-5637     -5.692417     56.49913             25
-#> 8638      VR2-5637     -5.692417     56.49913             25
-#> 8639      VR2-5637     -5.692417     56.49913             25
-#> 8640      VR2-5637     -5.692417     56.49913             25
-#> 8641      VR2-5637     -5.692417     56.49913             25
-#> 8642      VR2-5637     -5.692417     56.49913             25
-#> 8643      VR2-5637     -5.692417     56.49913             25
-#> 8644      VR2-5637     -5.692417     56.49913             25
-#> 8645      VR2-5637     -5.692417     56.49913             25
-#> 8646      VR2-5637     -5.692417     56.49913             25
-#> 8647      VR2-5637     -5.692417     56.49913             25
-#> 8648      VR2-5637     -5.692417     56.49913             25
-#> 8649      VR2-5637     -5.692417     56.49913             25
-#> 8650      VR2-5637     -5.692417     56.49913             25
-#> 8651      VR2-5637     -5.692417     56.49913             25
-#> 8652      VR2-5637     -5.692417     56.49913             25
-#> 8653      VR2-5637     -5.692417     56.49913             25
-#> 8654      VR2-5637     -5.692417     56.49913             25
-#> 8655      VR2-5637     -5.692417     56.49913             25
-#> 8656      VR2-5637     -5.692417     56.49913             25
-#> 8657  VR2AR-546133     -5.701717     56.49747             90
-#> 8658  VR2AR-546133     -5.701717     56.49747             90
-#> 8659  VR2AR-546133     -5.701717     56.49747             90
-#> 8660  VR2AR-546133     -5.701717     56.49747             90
-#> 8661  VR2AR-546133     -5.701717     56.49747             90
-#> 8662  VR2AR-546133     -5.701717     56.49747             90
-#> 8663  VR2AR-546133     -5.701717     56.49747             90
-#> 8664  VR2AR-546133     -5.701717     56.49747             90
-#> 8665  VR2AR-546133     -5.701717     56.49747             90
-#> 8666  VR2AR-546133     -5.701717     56.49747             90
-#> 8667  VR2AR-546133     -5.701717     56.49747             90
-#> 8668  VR2AR-546133     -5.701717     56.49747             90
-#> 8669  VR2AR-546133     -5.701717     56.49747             90
-#> 8670  VR2AR-546133     -5.701717     56.49747             90
-#> 8671  VR2AR-546133     -5.701717     56.49747             90
-#> 8672  VR2AR-546133     -5.701717     56.49747             90
-#> 8673  VR2AR-546133     -5.701717     56.49747             90
-#> 8674  VR2AR-546133     -5.701717     56.49747             90
-#> 8675  VR2AR-546133     -5.701717     56.49747             90
-#> 8676  VR2AR-546133     -5.701717     56.49747             90
-#> 8677  VR2AR-546133     -5.701717     56.49747             90
-#> 8678  VR2AR-546133     -5.701717     56.49747             90
-#> 8679  VR2AR-546133     -5.701717     56.49747             90
-#> 8680  VR2AR-546133     -5.701717     56.49747             90
-#> 8681  VR2AR-546133     -5.701717     56.49747             90
-#> 8682  VR2AR-546133     -5.701717     56.49747             90
-#> 8683  VR2AR-546133     -5.701717     56.49747             90
-#> 8684  VR2AR-546133     -5.701717     56.49747             90
-#> 8685  VR2AR-546133     -5.701717     56.49747             90
-#> 8686  VR2AR-546133     -5.701717     56.49747             90
-#> 8687  VR2AR-546133     -5.701717     56.49747             90
-#> 8688  VR2AR-546133     -5.701717     56.49747             90
-#> 8689  VR2AR-546133     -5.701717     56.49747             90
-#> 8690  VR2AR-546133     -5.701717     56.49747             90
-#> 8691  VR2AR-546133     -5.701717     56.49747             90
-#> 8692  VR2AR-546133     -5.701717     56.49747             90
-#> 8693  VR2AR-546136     -5.626250     56.44810             75
-#> 8694  VR2AR-546136     -5.626250     56.44810             75
-#> 8695  VR2AR-546380     -5.637917     56.44800             25
-#> 8696  VR2AR-546136     -5.626250     56.44810             75
-#> 8697  VR2AR-546380     -5.637917     56.44800             25
-#> 8698  VR2AR-546380     -5.637917     56.44800             25
-#> 8699  VR2AR-546136     -5.626250     56.44810             75
-#> 8700  VR2AR-546380     -5.637917     56.44800             25
-#> 8701  VR2AR-546380     -5.637917     56.44800             25
-#> 8702  VR2AR-546380     -5.637917     56.44800             25
-#> 8703  VR2AR-546380     -5.637917     56.44800             25
-#> 8704  VR2AR-546380     -5.637917     56.44800             25
-#> 8705  VR2AR-546380     -5.637917     56.44800             25
-#> 8706  VR2AR-546380     -5.637917     56.44800             25
-#> 8707  VR2AR-546380     -5.637917     56.44800             25
-#> 8708  VR2AR-546380     -5.637917     56.44800             25
-#> 8709  VR2AR-546380     -5.637917     56.44800             25
-#> 8710  VR2AR-546380     -5.637917     56.44800             25
-#> 8711  VR2AR-546380     -5.637917     56.44800             25
-#> 8712  VR2AR-546380     -5.637917     56.44800             25
-#> 8713  VR2AR-546380     -5.637917     56.44800             25
-#> 8714  VR2AR-546380     -5.637917     56.44800             25
-#> 8715  VR2AR-546380     -5.637917     56.44800             25
-#> 8716  VR2AR-546380     -5.637917     56.44800             25
-#> 8717  VR2AR-546380     -5.637917     56.44800             25
-#> 8718  VR2AR-546380     -5.637917     56.44800             25
-#> 8719  VR2AR-546380     -5.637917     56.44800             25
-#> 8720  VR2AR-546380     -5.637917     56.44800             25
-#> 8721  VR2AR-546380     -5.637917     56.44800             25
-#> 8722  VR2AR-546380     -5.637917     56.44800             25
-#> 8723  VR2AR-546380     -5.637917     56.44800             25
-#> 8724  VR2AR-546380     -5.637917     56.44800             25
-#> 8725  VR2AR-546380     -5.637917     56.44800             25
-#> 8726  VR2AR-546380     -5.637917     56.44800             25
-#> 8727  VR2AR-546380     -5.637917     56.44800             25
-#> 8728  VR2AR-546380     -5.637917     56.44800             25
-#> 8729  VR2AR-546380     -5.637917     56.44800             25
-#> 8730  VR2AR-546380     -5.637917     56.44800             25
-#> 8731  VR2AR-546131     -5.612700     56.37988             35
-#> 8732  VR2AR-546131     -5.612700     56.37988             35
-#> 8733  VR2AR-546131     -5.612700     56.37988             35
-#> 8734  VR2AR-546131     -5.612700     56.37988             35
-#> 8735  VR2AR-546131     -5.612700     56.37988             35
-#> 8736  VR2AR-546131     -5.612700     56.37988             35
-#> 8737  VR2AR-546131     -5.612700     56.37988             35
-#> 8738  VR2AR-546131     -5.612700     56.37988             35
-#> 8739  VR2AR-546131     -5.612700     56.37988             35
-#> 8740  VR2AR-546131     -5.612700     56.37988             35
-#> 8741  VR2AR-546131     -5.612700     56.37988             35
-#> 8742  VR2AR-546131     -5.612700     56.37988             35
-#> 8743  VR2AR-546131     -5.612700     56.37988             35
-#> 8744  VR2AR-546131     -5.612700     56.37988             35
-#> 8745  VR2AR-546131     -5.612700     56.37988             35
-#> 8746  VR2AR-546131     -5.612700     56.37988             35
-#> 8747  VR2AR-546131     -5.612700     56.37988             35
-#> 8748  VR2AR-546131     -5.612700     56.37988             35
-#> 8749  VR2AR-546131     -5.612700     56.37988             35
-#> 8750  VR2AR-546131     -5.612700     56.37988             35
-#> 8751  VR2AR-546131     -5.612700     56.37988             35
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-#> 8753  VR2AR-546131     -5.612700     56.37988             35
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-#> 8757  VR2AR-546131     -5.612700     56.37988             35
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-#> 8759  VR2AR-546131     -5.612700     56.37988             35
-#> 8760  VR2AR-546131     -5.612700     56.37988             35
-#> 8761  VR2AR-546131     -5.612700     56.37988             35
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-#> 8763  VR2AR-546131     -5.612700     56.37988             35
-#> 8764  VR2AR-546131     -5.612700     56.37988             35
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-#> 8766  VR2AR-546131     -5.612700     56.37988             35
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-#> 8768  VR2AR-546131     -5.612700     56.37988             35
-#> 8769  VR2AR-546131     -5.612700     56.37988             35
-#> 8770  VR2AR-546131     -5.612700     56.37988             35
-#> 8771  VR2AR-546131     -5.612700     56.37988             35
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-#> 8776  VR2AR-546131     -5.612700     56.37988             35
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-#> 8779  VR2AR-546131     -5.612700     56.37988             35
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-#> 8800  VR2AR-546131     -5.612700     56.37988             35
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-#> 8842  VR2AR-546131     -5.612700     56.37988             35
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-#> 8861  VR2AR-546131     -5.612700     56.37988             35
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-#> 8865  VR2AR-546131     -5.612700     56.37988             35
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-#> 8871  VR2AR-546131     -5.612700     56.37988             35
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-#> 8893  VR2AR-546131     -5.612700     56.37988             35
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-#> 8914  VR2AR-546131     -5.612700     56.37988             35
-#> 8915  VR2AR-546131     -5.612700     56.37988             35
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-#> 8957  VR2AR-546135     -5.657067     56.38803             85
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-#> 8984  VR2AR-546134     -5.643867     56.38278            145
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-#> 8990  VR2AR-546134     -5.643867     56.38278            145
-#> 8991  VR2AR-546134     -5.643867     56.38278            145
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-#> 9039  VR2AR-546131     -5.612700     56.37988             35
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-#> 9132  VR2AR-546131     -5.612700     56.37988             35
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-#> 9254      VR2-5637     -5.692417     56.49913             25
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-#> 9369  VR2AR-546380     -5.637917     56.44800             25
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-#> 9377  VR2AR-546136     -5.626250     56.44810             75
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-#> 9460  VR2AR-546131     -5.612700     56.37988             35
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-#> 9714  VR2AR-546584     -5.604973     56.37774             30
-#> 9715  VR2AR-546584     -5.604973     56.37774             30
-#> 9716  VR2AR-546584     -5.604973     56.37774             30
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-#> 9718  VR2AR-546131     -5.612700     56.37988             35
-#> 9719  VR2AR-546584     -5.604973     56.37774             30
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-#> 9721  VR2AR-546131     -5.612700     56.37988             35
-#> 9722  VR2AR-546584     -5.604973     56.37774             30
-#> 9723  VR2AR-546131     -5.612700     56.37988             35
-#> 9724  VR2AR-546131     -5.612700     56.37988             35
-#> 9725  VR2AR-546131     -5.612700     56.37988             35
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-#> 9727  VR2AR-546131     -5.612700     56.37988             35
-#> 9728  VR2AR-546131     -5.612700     56.37988             35
-#> 9729  VR2AR-546131     -5.612700     56.37988             35
-#> 9730  VR2AR-546584     -5.604973     56.37774             30
-#> 9731  VR2AR-546131     -5.612700     56.37988             35
-#> 9732  VR2AR-546584     -5.604973     56.37774             30
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-#> 9734  VR2AR-546131     -5.612700     56.37988             35
-#> 9735  VR2AR-546131     -5.612700     56.37988             35
-#> 9736  VR2AR-546131     -5.612700     56.37988             35
-#> 9737  VR2AR-546131     -5.612700     56.37988             35
-#> 9738  VR2AR-546131     -5.612700     56.37988             35
-#> 9739  VR2AR-546131     -5.612700     56.37988             35
-#> 9740  VR2AR-546131     -5.612700     56.37988             35
-#> 9741  VR2AR-546131     -5.612700     56.37988             35
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-#> 9743  VR2AR-546131     -5.612700     56.37988             35
-#> 9744  VR2AR-546131     -5.612700     56.37988             35
-#> 9745  VR2AR-546131     -5.612700     56.37988             35
-#> 9746  VR2AR-546131     -5.612700     56.37988             35
-#> 9747  VR2AR-546131     -5.612700     56.37988             35
-#> 9748  VR2AR-546131     -5.612700     56.37988             35
-#> 9749  VR2AR-546131     -5.612700     56.37988             35
-#> 9750  VR2AR-546380     -5.637917     56.44800             25
-#> 9751  VR2AR-546380     -5.637917     56.44800             25
-#> 9752  VR2AR-546380     -5.637917     56.44800             25
-#> 9753  VR2AR-546136     -5.626250     56.44810             75
-#> 9754  VR2AR-546136     -5.626250     56.44810             75
-#> 9755  VR2AR-546380     -5.637917     56.44800             25
-#> 9756  VR2AR-546380     -5.637917     56.44800             25
-#> 9757  VR2AR-546380     -5.637917     56.44800             25
-#> 9758  VR2AR-546380     -5.637917     56.44800             25
-#> 9759  VR2AR-546380     -5.637917     56.44800             25
-#> 9760  VR2AR-546380     -5.637917     56.44800             25
-#> 9761  VR2AR-546380     -5.637917     56.44800             25
-#> 9762  VR2AR-546380     -5.637917     56.44800             25
-#> 9763  VR2AR-546380     -5.637917     56.44800             25
-#> 9764  VR2AR-546380     -5.637917     56.44800             25
-#> 9765  VR2AR-546380     -5.637917     56.44800             25
-#> 9766  VR2AR-546380     -5.637917     56.44800             25
-#> 9767  VR2AR-546380     -5.637917     56.44800             25
-#> 9768  VR2AR-546380     -5.637917     56.44800             25
-#> 9769  VR2AR-546380     -5.637917     56.44800             25
-#> 9770  VR2AR-546380     -5.637917     56.44800             25
-#> 9771  VR2AR-546380     -5.637917     56.44800             25
-#> 9772  VR2AR-546380     -5.637917     56.44800             25
-#> 9773  VR2AR-546380     -5.637917     56.44800             25
-#> 9774  VR2AR-546380     -5.637917     56.44800             25
-#> 9775  VR2AR-546380     -5.637917     56.44800             25
-#> 9776  VR2AR-546380     -5.637917     56.44800             25
-#> 9777  VR2AR-546134     -5.643867     56.38278            145
-#> 9778  VR2AR-546134     -5.643867     56.38278            145
-#> 9779  VR2AR-546134     -5.643867     56.38278            145
-#> 9780  VR2AR-546134     -5.643867     56.38278            145
-#> 9781  VR2AR-546134     -5.643867     56.38278            145
-#> 9782  VR2AR-546134     -5.643867     56.38278            145
-#> 9783  VR2AR-546134     -5.643867     56.38278            145
-#> 9784  VR2AR-546134     -5.643867     56.38278            145
-#> 9785  VR2AR-546134     -5.643867     56.38278            145
-#> 9786  VR2AR-546134     -5.643867     56.38278            145
-#> 9787  VR2AR-546134     -5.643867     56.38278            145
-#> 9788  VR2AR-546134     -5.643867     56.38278            145
-#> 9789  VR2AR-546134     -5.643867     56.38278            145
-#> 9790  VR2AR-546134     -5.643867     56.38278            145
-#> 9791  VR2AR-546131     -5.612700     56.37988             35
-#> 9792  VR2AR-546131     -5.612700     56.37988             35
-#> 9793  VR2AR-546131     -5.612700     56.37988             35
-#> 9794  VR2AR-546131     -5.612700     56.37988             35
-#> 9795  VR2AR-546131     -5.612700     56.37988             35
-#> 9796  VR2AR-546131     -5.612700     56.37988             35
-#> 9797  VR2AR-546131     -5.612700     56.37988             35
-#> 9798  VR2AR-546131     -5.612700     56.37988             35
-#> 9799  VR2AR-546131     -5.612700     56.37988             35
-#> 9800  VR2AR-546131     -5.612700     56.37988             35
-#> 9801  VR2AR-546131     -5.612700     56.37988             35
-#> 9802  VR2AR-546131     -5.612700     56.37988             35
-#> 9803  VR2AR-546131     -5.612700     56.37988             35
-#> 9804  VR2AR-546131     -5.612700     56.37988             35
-#> 9805  VR2AR-546131     -5.612700     56.37988             35
-#> 9806  VR2AR-546131     -5.612700     56.37988             35
-#> 9807  VR2AR-546131     -5.612700     56.37988             35
-#> 9808  VR2AR-546131     -5.612700     56.37988             35
-#> 9809  VR2AR-546131     -5.612700     56.37988             35
-#> 9810  VR2AR-546131     -5.612700     56.37988             35
-#> 9811  VR2AR-546131     -5.612700     56.37988             35
-#> 9812  VR2AR-546131     -5.612700     56.37988             35
-#> 9813  VR2AR-546131     -5.612700     56.37988             35
-#> 9814  VR2AR-546131     -5.612700     56.37988             35
-#> 9815  VR2AR-546131     -5.612700     56.37988             35
-#> 9816  VR2AR-546131     -5.612700     56.37988             35
-#> 9817  VR2AR-546131     -5.612700     56.37988             35
-#> 9818  VR2AR-546131     -5.612700     56.37988             35
-#> 9819  VR2AR-546131     -5.612700     56.37988             35
-#> 9820  VR2AR-546131     -5.612700     56.37988             35
-#> 9821  VR2AR-546131     -5.612700     56.37988             35
-#> 9822  VR2AR-546131     -5.612700     56.37988             35
-#> 9823  VR2AR-546131     -5.612700     56.37988             35
-#> 9824  VR2AR-546131     -5.612700     56.37988             35
-#> 9825  VR2AR-546131     -5.612700     56.37988             35
-#> 9826  VR2AR-546131     -5.612700     56.37988             35
-#> 9827  VR2AR-546131     -5.612700     56.37988             35
-#> 9828  VR2AR-546131     -5.612700     56.37988             35
-#> 9829  VR2AR-546131     -5.612700     56.37988             35
-#> 9830  VR2AR-546131     -5.612700     56.37988             35
-#> 9831  VR2AR-546131     -5.612700     56.37988             35
-#> 9832  VR2AR-546131     -5.612700     56.37988             35
-#> 9833  VR2AR-546131     -5.612700     56.37988             35
-#> 9834  VR2AR-546131     -5.612700     56.37988             35
-#> 9835  VR2AR-546131     -5.612700     56.37988             35
-#> 9836  VR2AR-546131     -5.612700     56.37988             35
-#> 9837  VR2AR-546131     -5.612700     56.37988             35
-#> 9838  VR2AR-546131     -5.612700     56.37988             35
-#> 9839  VR2AR-546131     -5.612700     56.37988             35
-#> 9840  VR2AR-546131     -5.612700     56.37988             35
-#> 9841  VR2AR-546131     -5.612700     56.37988             35
-#> 9842  VR2AR-546131     -5.612700     56.37988             35
-#> 9843  VR2AR-546131     -5.612700     56.37988             35
-#> 9844  VR2AR-546131     -5.612700     56.37988             35
-#> 9845  VR2AR-546131     -5.612700     56.37988             35
-#> 9846  VR2AR-546131     -5.612700     56.37988             35
-#> 9847  VR2AR-546131     -5.612700     56.37988             35
-#> 9848  VR2AR-546131     -5.612700     56.37988             35
-#> 9849  VR2AR-546131     -5.612700     56.37988             35
-#> 9850  VR2AR-546131     -5.612700     56.37988             35
-#> 9851  VR2AR-546131     -5.612700     56.37988             35
-#> 9852  VR2AR-546131     -5.612700     56.37988             35
-#> 9853  VR2AR-546131     -5.612700     56.37988             35
-#> 9854  VR2AR-546131     -5.612700     56.37988             35
-#> 9855  VR2AR-546131     -5.612700     56.37988             35
-#> 9856  VR2AR-546131     -5.612700     56.37988             35
-#> 9857  VR2AR-546131     -5.612700     56.37988             35
-#> 9858  VR2AR-546131     -5.612700     56.37988             35
-#> 9859  VR2AR-546131     -5.612700     56.37988             35
-#> 9860  VR2AR-546131     -5.612700     56.37988             35
-#> 9861  VR2AR-546131     -5.612700     56.37988             35
-#> 9862  VR2AR-546131     -5.612700     56.37988             35
-#> 9863  VR2AR-546131     -5.612700     56.37988             35
-#> 9864  VR2AR-546131     -5.612700     56.37988             35
-#> 9865  VR2AR-546131     -5.612700     56.37988             35
-#> 9866  VR2AR-546131     -5.612700     56.37988             35
-#> 9867  VR2AR-546131     -5.612700     56.37988             35
-#> 9868  VR2AR-546131     -5.612700     56.37988             35
-#> 9869  VR2AR-546131     -5.612700     56.37988             35
-#> 9870  VR2AR-546131     -5.612700     56.37988             35
-#> 9871  VR2AR-546131     -5.612700     56.37988             35
-#> 9872  VR2AR-546131     -5.612700     56.37988             35
-#> 9873  VR2AR-546131     -5.612700     56.37988             35
-#> 9874  VR2AR-546131     -5.612700     56.37988             35
-#> 9875  VR2AR-546131     -5.612700     56.37988             35
-#> 9876  VR2AR-546131     -5.612700     56.37988             35
-#> 9877  VR2AR-546131     -5.612700     56.37988             35
-#> 9878  VR2AR-546131     -5.612700     56.37988             35
-#> 9879  VR2AR-546131     -5.612700     56.37988             35
-#> 9880  VR2AR-546131     -5.612700     56.37988             35
-#> 9881  VR2AR-546131     -5.612700     56.37988             35
-#> 9882  VR2AR-546131     -5.612700     56.37988             35
-#> 9883  VR2AR-546131     -5.612700     56.37988             35
-#> 9884  VR2AR-546131     -5.612700     56.37988             35
-#> 9885  VR2AR-546131     -5.612700     56.37988             35
-#> 9886  VR2AR-546131     -5.612700     56.37988             35
-#> 9887  VR2AR-546131     -5.612700     56.37988             35
-#> 9888  VR2AR-546131     -5.612700     56.37988             35
-#> 9889  VR2AR-546131     -5.612700     56.37988             35
-#> 9890  VR2AR-546131     -5.612700     56.37988             35
-#> 9891  VR2AR-546131     -5.612700     56.37988             35
-#> 9892  VR2AR-546131     -5.612700     56.37988             35
-#> 9893  VR2AR-546131     -5.612700     56.37988             35
-#> 9894  VR2AR-546584     -5.604973     56.37774             30
-#> 9895  VR2AR-546131     -5.612700     56.37988             35
-#> 9896  VR2AR-546131     -5.612700     56.37988             35
-#> 9897  VR2AR-546131     -5.612700     56.37988             35
-#> 9898  VR2AR-546131     -5.612700     56.37988             35
-#> 9899  VR2AR-546131     -5.612700     56.37988             35
-#> 9900  VR2AR-546131     -5.612700     56.37988             35
-#> 9901  VR2AR-546131     -5.612700     56.37988             35
-#> 9902  VR2AR-546584     -5.604973     56.37774             30
-#> 9903  VR2AR-546131     -5.612700     56.37988             35
-#> 9904  VR2AR-546131     -5.612700     56.37988             35
-#> 9905  VR2AR-546584     -5.604973     56.37774             30
-#> 9906  VR2AR-546131     -5.612700     56.37988             35
-#> 9907  VR2AR-546131     -5.612700     56.37988             35
-#> 9908  VR2AR-546131     -5.612700     56.37988             35
-#> 9909  VR2AR-546584     -5.604973     56.37774             30
-#> 9910  VR2AR-546131     -5.612700     56.37988             35
-#> 9911  VR2AR-546131     -5.612700     56.37988             35
-#> 9912  VR2AR-546584     -5.604973     56.37774             30
-#> 9913  VR2AR-546584     -5.604973     56.37774             30
-#> 9914  VR2AR-546131     -5.612700     56.37988             35
-#> 9915  VR2AR-546584     -5.604973     56.37774             30
-#> 9916  VR2AR-546131     -5.612700     56.37988             35
-#> 9917  VR2AR-546131     -5.612700     56.37988             35
-#> 9918  VR2AR-546131     -5.612700     56.37988             35
-#> 9919  VR2AR-546131     -5.612700     56.37988             35
-#> 9920  VR2AR-546131     -5.612700     56.37988             35
-#> 9921  VR2AR-546131     -5.612700     56.37988             35
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-#> 9923  VR2AR-546134     -5.643867     56.38278            145
-#> 9924  VR2AR-546134     -5.643867     56.38278            145
-#> 9925  VR2AR-546134     -5.643867     56.38278            145
-#> 9926  VR2AR-546134     -5.643867     56.38278            145
-#> 9927  VR2AR-546134     -5.643867     56.38278            145
-#> 9928  VR2AR-546134     -5.643867     56.38278            145
-#> 9929  VR2AR-546134     -5.643867     56.38278            145
-#> 9930  VR2AR-546134     -5.643867     56.38278            145
-#> 9931  VR2AR-546134     -5.643867     56.38278            145
-#> 9932  VR2AR-546134     -5.643867     56.38278            145
-#> 9933  VR2AR-546134     -5.643867     56.38278            145
-#> 9934  VR2AR-546134     -5.643867     56.38278            145
-#> 9935  VR2AR-546134     -5.643867     56.38278            145
-#> 9936  VR2AR-546134     -5.643867     56.38278            145
-#> 9937  VR2AR-546135     -5.657067     56.38803             85
-#> 9938  VR2AR-546135     -5.657067     56.38803             85
-#> 9939  VR2AR-546135     -5.657067     56.38803             85
-#> 9940  VR2AR-546135     -5.657067     56.38803             85
-#> 9941  VR2AR-546587     -5.661620     56.39041             15
-#> 9942  VR2AR-546135     -5.657067     56.38803             85
-#> 9943  VR2AR-546587     -5.661620     56.39041             15
-#> 9944  VR2AR-546135     -5.657067     56.38803             85
-#> 9945  VR2AR-546587     -5.661620     56.39041             15
-#> 9946  VR2AR-546587     -5.661620     56.39041             15
-#> 9947  VR2AR-546587     -5.661620     56.39041             15
-#> 9948  VR2AR-546587     -5.661620     56.39041             15
-#> 9949  VR2AR-546587     -5.661620     56.39041             15
-#> 9950  VR2AR-546587     -5.661620     56.39041             15
-#> 9951  VR2AR-546587     -5.661620     56.39041             15
-#> 9952  VR2AR-546587     -5.661620     56.39041             15
-#> 9953  VR2AR-546587     -5.661620     56.39041             15
-#> 9954  VR2AR-546587     -5.661620     56.39041             15
-#> 9955  VR2AR-546587     -5.661620     56.39041             15
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-#> 9957  VR2AR-546135     -5.657067     56.38803             85
-#> 9958  VR2AR-546587     -5.661620     56.39041             15
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-#> 9960  VR2AR-546587     -5.661620     56.39041             15
-#> 9961  VR2AR-546587     -5.661620     56.39041             15
-#> 9962  VR2AR-546135     -5.657067     56.38803             85
-#> 9963  VR2AR-546587     -5.661620     56.39041             15
-#> 9964  VR2AR-546587     -5.661620     56.39041             15
-#> 9965  VR2AR-546135     -5.657067     56.38803             85
-#> 9966  VR2AR-546587     -5.661620     56.39041             15
-#> 9967  VR2AR-546131     -5.612700     56.37988             35
-#> 9968  VR2AR-546131     -5.612700     56.37988             35
-#> 9969  VR2AR-546131     -5.612700     56.37988             35
-#> 9970  VR2AR-546131     -5.612700     56.37988             35
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-#> 9998  VR2AR-546131     -5.612700     56.37988             35
-#> 9999  VR2AR-546131     -5.612700     56.37988             35
-#> 10000 VR2AR-546131     -5.612700     56.37988             35
-#> 10001 VR2AR-546131     -5.612700     56.37988             35
-#> 10002 VR2AR-546131     -5.612700     56.37988             35
-#> 10003 VR2AR-546131     -5.612700     56.37988             35
-#> 10004 VR2AR-546131     -5.612700     56.37988             35
-#> 10005 VR2AR-546131     -5.612700     56.37988             35
-#> 10006 VR2AR-546131     -5.612700     56.37988             35
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-#> 10010 VR2AR-546131     -5.612700     56.37988             35
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-#> 10027 VR2AR-546131     -5.612700     56.37988             35
-#> 10028 VR2AR-546380     -5.637917     56.44800             25
-#> 10029 VR2AR-546380     -5.637917     56.44800             25
-#> 10030 VR2AR-546380     -5.637917     56.44800             25
-#> 10031 VR2AR-546380     -5.637917     56.44800             25
-#> 10032 VR2AR-546380     -5.637917     56.44800             25
-#> 10033 VR2AR-546380     -5.637917     56.44800             25
-#> 10034 VR2AR-546380     -5.637917     56.44800             25
-#> 10035 VR2AR-546380     -5.637917     56.44800             25
-#> 10036 VR2AR-546136     -5.626250     56.44810             75
-#> 10037 VR2AR-546136     -5.626250     56.44810             75
-#> 10038 VR2AR-546136     -5.626250     56.44810             75
-#> 10039 VR2AR-546136     -5.626250     56.44810             75
-#> 10040 VR2AR-546136     -5.626250     56.44810             75
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-#> 10042 VR2AR-546133     -5.701717     56.49747             90
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-#> 10090 VR2AR-546586     -5.707092     56.49447             20
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-#> 10101 VR2AR-546586     -5.707092     56.49447             20
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-#> 10103 VR2AR-546133     -5.701717     56.49747             90
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-#> 10107 VR2AR-546586     -5.707092     56.49447             20
-#> 10108 VR2AR-546133     -5.701717     56.49747             90
-#> 10109 VR2AR-546586     -5.707092     56.49447             20
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-#> 10111 VR2AR-546586     -5.707092     56.49447             20
-#> 10112 VR2AR-546133     -5.701717     56.49747             90
-#> 10113 VR2AR-546586     -5.707092     56.49447             20
-#> 10114 VR2AR-546586     -5.707092     56.49447             20
-#> 10115 VR2AR-546133     -5.701717     56.49747             90
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-#> 10118 VR2AR-546133     -5.701717     56.49747             90
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-#> 10120 VR2AR-546586     -5.707092     56.49447             20
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-#> 10122 VR2AR-546133     -5.701717     56.49747             90
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-#> 10127 VR2AR-546586     -5.707092     56.49447             20
-#> 10128 VR2AR-546586     -5.707092     56.49447             20
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-#> 10133 VR2AR-546133     -5.701717     56.49747             90
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-#> 10161 VR2AR-546586     -5.707092     56.49447             20
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-#> 10163 VR2AR-546133     -5.701717     56.49747             90
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-#> 10275     VR2-5637     -5.692417     56.49913             25
-#> 10276     VR2-5637     -5.692417     56.49913             25
-#> 10277     VR2-5637     -5.692417     56.49913             25
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-#> 10279 VR2AR-546133     -5.701717     56.49747             90
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-#> 10285 VR2AR-546136     -5.626250     56.44810             75
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-#> 10291 VR2AR-546131     -5.612700     56.37988             35
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-#> 10303 VR2AR-546131     -5.612700     56.37988             35
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-#> 10321 VR2AR-546131     -5.612700     56.37988             35
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-#> 10333 VR2AR-546131     -5.612700     56.37988             35
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-#> 10340 VR2AR-546380     -5.637917     56.44800             25
-#> 10341 VR2AR-546380     -5.637917     56.44800             25
-#> 10342 VR2AR-546136     -5.626250     56.44810             75
-#> 10343 VR2AR-546136     -5.626250     56.44810             75
-#> 10344 VR2AR-546380     -5.637917     56.44800             25
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-#> 10346 VR2AR-546134     -5.643867     56.38278            145
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-#> 10360 VR2AR-546134     -5.643867     56.38278            145
-#> 10361 VR2AR-546134     -5.643867     56.38278            145
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-#> 10365 VR2AR-546134     -5.643867     56.38278            145
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-#> 10373 VR2AR-546134     -5.643867     56.38278            145
-#> 10374 VR2AR-546134     -5.643867     56.38278            145
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-#> 10379 VR2AR-546134     -5.643867     56.38278            145
-#> 10380 VR2AR-546134     -5.643867     56.38278            145
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-#> 10383 VR2AR-546585     -5.623995     56.37436             75
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-#> 10404  VR2W-108158     -5.619533     56.37413             25
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-#> 10406 VR2AR-546585     -5.623995     56.37436             75
-#> 10407  VR2W-108158     -5.619533     56.37413             25
-#> 10408 VR2AR-546585     -5.623995     56.37436             75
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-#> 10411  VR2W-108158     -5.619533     56.37413             25
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-#> 10417 VR2AR-546585     -5.623995     56.37436             75
-#> 10418  VR2W-108158     -5.619533     56.37413             25
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-#> 10421 VR2AR-546585     -5.623995     56.37436             75
-#> 10422  VR2W-108158     -5.619533     56.37413             25
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-#> 10428 VR2AR-546585     -5.623995     56.37436             75
-#> 10429  VR2W-108158     -5.619533     56.37413             25
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-#> 10431 VR2AR-546585     -5.623995     56.37436             75
-#> 10432  VR2W-108158     -5.619533     56.37413             25
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-#> 10434  VR2W-108158     -5.619533     56.37413             25
-#> 10435  VR2W-108158     -5.619533     56.37413             25
-#> 10436 VR2AR-546585     -5.623995     56.37436             75
-#> 10437  VR2W-108158     -5.619533     56.37413             25
-#> 10438  VR2W-108158     -5.619533     56.37413             25
-#> 10439  VR2W-108158     -5.619533     56.37413             25
-#> 10440 VR2AR-546585     -5.623995     56.37436             75
-#> 10441  VR2W-108158     -5.619533     56.37413             25
-#> 10442 VR2AR-546585     -5.623995     56.37436             75
-#> 10443  VR2W-108158     -5.619533     56.37413             25
-#> 10444 VR2AR-546585     -5.623995     56.37436             75
-#> 10445  VR2W-108158     -5.619533     56.37413             25
-#> 10446 VR2AR-546585     -5.623995     56.37436             75
-#> 10447  VR2W-108158     -5.619533     56.37413             25
-#> 10448  VR2W-108158     -5.619533     56.37413             25
-#> 10449 VR2AR-546585     -5.623995     56.37436             75
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-#> 10454 VR2AR-546585     -5.623995     56.37436             75
-#> 10455  VR2W-108158     -5.619533     56.37413             25
-#> 10456 VR2AR-546131     -5.612700     56.37988             35
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-#> 10509 VR2AR-546584     -5.604973     56.37774             30
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-#> 10511 VR2AR-546131     -5.612700     56.37988             35
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-#> 10524 VR2AR-546584     -5.604973     56.37774             30
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-#> 10526 VR2AR-546131     -5.612700     56.37988             35
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-#> 10533 VR2AR-546584     -5.604973     56.37774             30
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-#> 10535 VR2AR-546131     -5.612700     56.37988             35
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-#> 10537 VR2AR-546584     -5.604973     56.37774             30
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-#> 10539 VR2AR-546131     -5.612700     56.37988             35
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-#> 10557 VR2AR-546134     -5.643867     56.38278            145
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-#> 10584 VR2AR-546380     -5.637917     56.44800             25
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-#> 10600 VR2AR-546380     -5.637917     56.44800             25
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-#> 10634 VR2AR-546586     -5.707092     56.49447             20
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-#> 10638 VR2AR-546586     -5.707092     56.49447             20
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-#> 10646 VR2AR-546133     -5.701717     56.49747             90
-#> 10647 VR2AR-546586     -5.707092     56.49447             20
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-#> 10656 VR2AR-546380     -5.637917     56.44800             25
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-#> 10682 VR2AR-546134     -5.643867     56.38278            145
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-#> 10695 VR2AR-546131     -5.612700     56.37988             35
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-#> 10899 VR2AR-546131     -5.612700     56.37988             35
-#> 10900 VR2AR-546131     -5.612700     56.37988             35
-#> 10901 VR2AR-546585     -5.623995     56.37436             75
-#> 10902 VR2AR-546585     -5.623995     56.37436             75
-#> 10903 VR2AR-546585     -5.623995     56.37436             75
-#> 10904  VR2W-108160     -5.631733     56.37447             50
-#> 10905 VR2AR-546585     -5.623995     56.37436             75
-#> 10906  VR2W-108160     -5.631733     56.37447             50
-#> 10907 VR2AR-546585     -5.623995     56.37436             75
-#> 10908  VR2W-108160     -5.631733     56.37447             50
-#> 10909 VR2AR-546585     -5.623995     56.37436             75
-#> 10910 VR2AR-546585     -5.623995     56.37436             75
-#> 10911 VR2AR-546585     -5.623995     56.37436             75
-#> 10912 VR2AR-546585     -5.623995     56.37436             75
-#> 10913 VR2AR-546585     -5.623995     56.37436             75
-#> 10914  VR2W-108160     -5.631733     56.37447             50
-#> 10915 VR2AR-546585     -5.623995     56.37436             75
-#> 10916  VR2W-108160     -5.631733     56.37447             50
-#> 10917 VR2AR-546585     -5.623995     56.37436             75
-#> 10918  VR2W-108160     -5.631733     56.37447             50
-#> 10919  VR2W-108160     -5.631733     56.37447             50
-#> 10920  VR2W-108160     -5.631733     56.37447             50
-#> 10921 VR2AR-546134     -5.643867     56.38278            145
-#> 10922 VR2AR-546134     -5.643867     56.38278            145
-#> 10923 VR2AR-546134     -5.643867     56.38278            145
-#> 10924 VR2AR-546134     -5.643867     56.38278            145
-#> 10925 VR2AR-546134     -5.643867     56.38278            145
-#> 10926 VR2AR-546134     -5.643867     56.38278            145
-#> 10927 VR2AR-546134     -5.643867     56.38278            145
-#> 10928 VR2AR-546134     -5.643867     56.38278            145
-#> 10929 VR2AR-546134     -5.643867     56.38278            145
-#> 10930 VR2AR-546134     -5.643867     56.38278            145
-#> 10931 VR2AR-546134     -5.643867     56.38278            145
-#> 10932 VR2AR-546134     -5.643867     56.38278            145
-#> 10933 VR2AR-546134     -5.643867     56.38278            145
-#> 10934 VR2AR-546134     -5.643867     56.38278            145
-#> 10935 VR2AR-546134     -5.643867     56.38278            145
-#> 10936 VR2AR-546135     -5.657067     56.38803             85
-#> 10937 VR2AR-546135     -5.657067     56.38803             85
-#> 10938 VR2AR-546135     -5.657067     56.38803             85
-#> 10939 VR2AR-546135     -5.657067     56.38803             85
-#> 10940 VR2AR-546135     -5.657067     56.38803             85
-#> 10941 VR2AR-546135     -5.657067     56.38803             85
-#> 10942 VR2AR-546135     -5.657067     56.38803             85
-#> 10943 VR2AR-546135     -5.657067     56.38803             85
-#> 10944 VR2AR-546135     -5.657067     56.38803             85
-#> 10945 VR2AR-546135     -5.657067     56.38803             85
-#> 10946 VR2AR-546135     -5.657067     56.38803             85
-#> 10947 VR2AR-546135     -5.657067     56.38803             85
-#> 10948 VR2AR-546135     -5.657067     56.38803             85
-#> 10949 VR2AR-546135     -5.657067     56.38803             85
-#> 10950 VR2AR-546135     -5.657067     56.38803             85
-#> 10951 VR2AR-546135     -5.657067     56.38803             85
-#> 10952 VR2AR-546135     -5.657067     56.38803             85
-#> 10953 VR2AR-546380     -5.637917     56.44800             25
-#> 10954 VR2AR-546380     -5.637917     56.44800             25
-#> 10955 VR2AR-546380     -5.637917     56.44800             25
-#> 10956 VR2AR-546380     -5.637917     56.44800             25
-#> 10957 VR2AR-546380     -5.637917     56.44800             25
-#> 10958 VR2AR-546380     -5.637917     56.44800             25
-#> 10959 VR2AR-546380     -5.637917     56.44800             25
-#> 10960 VR2AR-546380     -5.637917     56.44800             25
-#> 10961 VR2AR-546380     -5.637917     56.44800             25
-#> 10962 VR2AR-546380     -5.637917     56.44800             25
-#> 10963 VR2AR-546380     -5.637917     56.44800             25
-#> 10964 VR2AR-546380     -5.637917     56.44800             25
-#> 10965 VR2AR-546380     -5.637917     56.44800             25
-#> 10966 VR2AR-546380     -5.637917     56.44800             25
-#> 10967 VR2AR-546380     -5.637917     56.44800             25
-#> 10968 VR2AR-546380     -5.637917     56.44800             25
-#> 10969 VR2AR-546380     -5.637917     56.44800             25
-#> 10970 VR2AR-546380     -5.637917     56.44800             25
-#> 10971 VR2AR-546380     -5.637917     56.44800             25
-#> 10972 VR2AR-546380     -5.637917     56.44800             25
-#> 10973 VR2AR-546380     -5.637917     56.44800             25
-#> 10974 VR2AR-546380     -5.637917     56.44800             25
-#> 10975 VR2AR-546380     -5.637917     56.44800             25
-#> 10976 VR2AR-546380     -5.637917     56.44800             25
-#> 10977 VR2AR-546380     -5.637917     56.44800             25
-#> 10978 VR2AR-546380     -5.637917     56.44800             25
-#> 10979 VR2AR-546380     -5.637917     56.44800             25
-#> 10980 VR2AR-546380     -5.637917     56.44800             25
-#> 10981 VR2AR-546380     -5.637917     56.44800             25
-#> 10982 VR2AR-546380     -5.637917     56.44800             25
-#> 10983 VR2AR-546131     -5.612700     56.37988             35
-#> 10984 VR2AR-546131     -5.612700     56.37988             35
-#> 10985 VR2AR-546131     -5.612700     56.37988             35
-#> 10986 VR2AR-546131     -5.612700     56.37988             35
-#> 10987 VR2AR-546131     -5.612700     56.37988             35
-#> 10988 VR2AR-546131     -5.612700     56.37988             35
-#> 10989 VR2AR-546131     -5.612700     56.37988             35
-#> 10990 VR2AR-546131     -5.612700     56.37988             35
-#> 10991 VR2AR-546131     -5.612700     56.37988             35
-#> 10992 VR2AR-546131     -5.612700     56.37988             35
-#> 10993 VR2AR-546131     -5.612700     56.37988             35
-#> 10994 VR2AR-546131     -5.612700     56.37988             35
-#> 10995 VR2AR-546584     -5.604973     56.37774             30
-#> 10996 VR2AR-546131     -5.612700     56.37988             35
-#> 10997 VR2AR-546131     -5.612700     56.37988             35
-#> 10998 VR2AR-546584     -5.604973     56.37774             30
-#> 10999 VR2AR-546131     -5.612700     56.37988             35
-#> 11000 VR2AR-546131     -5.612700     56.37988             35
-#> 11001 VR2AR-546131     -5.612700     56.37988             35
-#> 11002 VR2AR-546584     -5.604973     56.37774             30
-#> 11003 VR2AR-546131     -5.612700     56.37988             35
-#> 11004 VR2AR-546584     -5.604973     56.37774             30
-#> 11005 VR2AR-546131     -5.612700     56.37988             35
-#> 11006 VR2AR-546131     -5.612700     56.37988             35
-#> 11007 VR2AR-546131     -5.612700     56.37988             35
-#> 11008 VR2AR-546131     -5.612700     56.37988             35
-#> 11009 VR2AR-546131     -5.612700     56.37988             35
-#> 11010 VR2AR-546131     -5.612700     56.37988             35
-#> 11011 VR2AR-546131     -5.612700     56.37988             35
-#> 11012 VR2AR-546131     -5.612700     56.37988             35
-#> 11013 VR2AR-546131     -5.612700     56.37988             35
-#> 11014 VR2AR-546131     -5.612700     56.37988             35
-#> 11015 VR2AR-546131     -5.612700     56.37988             35
-#> 11016 VR2AR-546131     -5.612700     56.37988             35
-#> 11017 VR2AR-546131     -5.612700     56.37988             35
-#> 11018 VR2AR-546131     -5.612700     56.37988             35
-#> 11019 VR2AR-546131     -5.612700     56.37988             35
-#> 11020 VR2AR-546131     -5.612700     56.37988             35
-#> 11021 VR2AR-546131     -5.612700     56.37988             35
-#> 11022 VR2AR-546131     -5.612700     56.37988             35
-#> 11023 VR2AR-546131     -5.612700     56.37988             35
-#> 11024 VR2AR-546131     -5.612700     56.37988             35
-#> 11025 VR2AR-546131     -5.612700     56.37988             35
-#> 11026 VR2AR-546131     -5.612700     56.37988             35
-#> 11027 VR2AR-546131     -5.612700     56.37988             35
-#> 11028 VR2AR-546131     -5.612700     56.37988             35
-#> 11029 VR2AR-546131     -5.612700     56.37988             35
-#> 11030 VR2AR-546131     -5.612700     56.37988             35
-#> 11031 VR2AR-546131     -5.612700     56.37988             35
-#> 11032 VR2AR-546131     -5.612700     56.37988             35
-#> 11033 VR2AR-546131     -5.612700     56.37988             35
-#> 11034 VR2AR-546131     -5.612700     56.37988             35
-#> 11035 VR2AR-546131     -5.612700     56.37988             35
-#> 11036 VR2AR-546131     -5.612700     56.37988             35
-#> 11037 VR2AR-546131     -5.612700     56.37988             35
-#> 11038 VR2AR-546131     -5.612700     56.37988             35
-#> 11039 VR2AR-546131     -5.612700     56.37988             35
-#> 11040 VR2AR-546131     -5.612700     56.37988             35
-#> 11041 VR2AR-546131     -5.612700     56.37988             35
-#> 11042 VR2AR-546131     -5.612700     56.37988             35
-#> 11043 VR2AR-546131     -5.612700     56.37988             35
-#> 11044 VR2AR-546131     -5.612700     56.37988             35
-#> 11045 VR2AR-546131     -5.612700     56.37988             35
-#> 11046 VR2AR-546131     -5.612700     56.37988             35
-#> 11047 VR2AR-546131     -5.612700     56.37988             35
-#> 11048 VR2AR-546131     -5.612700     56.37988             35
-#> 11049 VR2AR-546131     -5.612700     56.37988             35
-#> 11050 VR2AR-546131     -5.612700     56.37988             35
-#> 11051 VR2AR-546131     -5.612700     56.37988             35
-#> 11052 VR2AR-546131     -5.612700     56.37988             35
-#> 11053 VR2AR-546131     -5.612700     56.37988             35
-#> 11054 VR2AR-546131     -5.612700     56.37988             35
-#> 11055 VR2AR-546131     -5.612700     56.37988             35
-#> 11056 VR2AR-546131     -5.612700     56.37988             35
-#> 11057 VR2AR-546131     -5.612700     56.37988             35
-#> 11058 VR2AR-546131     -5.612700     56.37988             35
-#> 11059 VR2AR-546131     -5.612700     56.37988             35
-#> 11060 VR2AR-546131     -5.612700     56.37988             35
-#> 11061 VR2AR-546131     -5.612700     56.37988             35
-#> 11062 VR2AR-546131     -5.612700     56.37988             35
-#> 11063 VR2AR-546131     -5.612700     56.37988             35
-#> 11064 VR2AR-546131     -5.612700     56.37988             35
-#> 11065 VR2AR-546131     -5.612700     56.37988             35
-#> 11066 VR2AR-546131     -5.612700     56.37988             35
-#> 11067 VR2AR-546131     -5.612700     56.37988             35
-#> 11068 VR2AR-546131     -5.612700     56.37988             35
-#> 11069 VR2AR-546131     -5.612700     56.37988             35
-#> 11070 VR2AR-546131     -5.612700     56.37988             35
-#> 11071 VR2AR-546131     -5.612700     56.37988             35
-#> 11072 VR2AR-546131     -5.612700     56.37988             35
-#> 11073 VR2AR-546131     -5.612700     56.37988             35
-#> 11074 VR2AR-546131     -5.612700     56.37988             35
-#> 11075 VR2AR-546131     -5.612700     56.37988             35
-#> 11076 VR2AR-546131     -5.612700     56.37988             35
-#> 11077 VR2AR-546131     -5.612700     56.37988             35
-#> 11078 VR2AR-546131     -5.612700     56.37988             35
-#> 11079 VR2AR-546131     -5.612700     56.37988             35
-#> 11080 VR2AR-546131     -5.612700     56.37988             35
-#> 11081 VR2AR-546131     -5.612700     56.37988             35
-#> 11082 VR2AR-546131     -5.612700     56.37988             35
-#> 11083 VR2AR-546131     -5.612700     56.37988             35
-#> 11084 VR2AR-546131     -5.612700     56.37988             35
-#> 11085 VR2AR-546131     -5.612700     56.37988             35
-#> 11086 VR2AR-546131     -5.612700     56.37988             35
-#> 11087 VR2AR-546131     -5.612700     56.37988             35
-#> 11088 VR2AR-546131     -5.612700     56.37988             35
-#> 11089 VR2AR-546131     -5.612700     56.37988             35
-#> 11090 VR2AR-546131     -5.612700     56.37988             35
-#> 11091 VR2AR-546131     -5.612700     56.37988             35
-#> 11092 VR2AR-546584     -5.604973     56.37774             30
-#> 11093 VR2AR-546131     -5.612700     56.37988             35
-#> 11094 VR2AR-546131     -5.612700     56.37988             35
-#> 11095 VR2AR-546131     -5.612700     56.37988             35
-#> 11096 VR2AR-546584     -5.604973     56.37774             30
-#> 11097 VR2AR-546131     -5.612700     56.37988             35
-#> 11098 VR2AR-546131     -5.612700     56.37988             35
-#> 11099 VR2AR-546584     -5.604973     56.37774             30
-#> 11100 VR2AR-546584     -5.604973     56.37774             30
-#> 11101 VR2AR-546131     -5.612700     56.37988             35
-#> 11102 VR2AR-546584     -5.604973     56.37774             30
-#> 11103 VR2AR-546584     -5.604973     56.37774             30
-#> 11104 VR2AR-546131     -5.612700     56.37988             35
-#> 11105 VR2AR-546584     -5.604973     56.37774             30
-#> 11106 VR2AR-546584     -5.604973     56.37774             30
-#> 11107 VR2AR-546131     -5.612700     56.37988             35
-#> 11108 VR2AR-546131     -5.612700     56.37988             35
-#> 11109 VR2AR-546131     -5.612700     56.37988             35
-#> 11110 VR2AR-546584     -5.604973     56.37774             30
-#> 11111 VR2AR-546131     -5.612700     56.37988             35
-#>  [ reached 'max' / getOption("max.print") -- omitted 1897 rows ]
-#> 
-#> [[2]]$args$delta_t
-#> [1] "12 hours"
-#> 
-#> 
-#> 
-#> [[3]]
-#> [[3]]$data
-#> [[3]]$data$m1_i1
-#> NULL
-#> 
-#> [[3]]$data$m1_i2
-#>    pc_receiver_with_detections   pc_of_ts
-#> 1                     0.000000 42.6303855
-#> 2                     4.347826  7.4829932
-#> 3                     4.545455  3.1746032
-#> 4                     4.761905  0.6802721
-#> 5                     5.000000  4.3083900
-#> 6                     5.555556  9.0702948
-#> 7                     5.882353  6.1224490
-#> 8                     6.250000  0.9070295
-#> 9                     7.142857  1.1337868
-#> 10                    8.333333  0.4535147
-#> 11                    8.695652  2.2675737
-#> 12                    9.090909  1.1337868
-#> 13                   10.000000  4.3083900
-#> 14                   11.111111  2.4943311
-#> 15                   11.764706  4.5351474
-#> 16                   12.500000  0.4535147
-#> 17                   13.043478  0.4535147
-#> 18                   14.285714  1.3605442
-#> 19                   15.000000  1.3605442
-#> 20                   16.666667  0.9070295
-#> 21                   17.391304  0.2267574
-#> 22                   17.647059  0.9070295
-#> 23                   18.750000  0.4535147
-#> 24                   20.000000  1.5873016
-#> 25                   23.529412  0.6802721
-#> 26                   25.000000  0.2267574
-#> 27                   27.777778  0.2267574
-#> 28                   29.411765  0.2267574
-#> 29                   30.000000  0.2267574
-#> 30                   35.000000  0.2267574
-#> 
-#> [[3]]$data$m2_i1
-#> NULL
-#> 
-#> [[3]]$data$m2_i2
-#>     pc_detections_per_receiver   pc_of_ts
-#> 1                   0.00000000 42.4036281
-#> 2                   0.04347826  0.2267574
-#> 3                   0.05555556  0.2267574
-#> 4                   0.10000000  1.1337868
-#> 5                   0.11111111  0.2267574
-#> 6                   0.11764706  0.6802721
-#> 7                   0.12500000  0.2267574
-#> 8                   0.16666667  0.4535147
-#> 9                   0.17391304  0.4535147
-#> 10                  0.17647059  0.4535147
-#> 11                  0.19047619  0.2267574
-#> 12                  0.21739130  0.2267574
-#> 13                  0.23529412  0.4535147
-#> 14                  0.25000000  0.2267574
-#> 15                  0.27777778  0.6802721
-#> 16                  0.29411765  0.4535147
-#> 17                  0.30000000  0.6802721
-#> 18                  0.30434783  0.2267574
-#> 19                  0.31818182  0.2267574
-#> 20                  0.33333333  0.4535147
-#> 21                  0.34782609  0.2267574
-#> 22                  0.35000000  0.2267574
-#> 23                  0.35294118  0.4535147
-#> 24                  0.37500000  0.2267574
-#> 25                  0.39130435  0.2267574
-#> 26                  0.40000000  0.2267574
-#> 27                  0.40909091  0.2267574
-#> 28                  0.41666667  0.2267574
-#> 29                  0.42857143  0.2267574
-#> 30                  0.44444444  0.6802721
-#> 31                  0.45000000  0.4535147
-#> 32                  0.45454545  0.2267574
-#> 33                  0.50000000  1.1337868
-#> 34                  0.52173913  0.6802721
-#> 35                  0.52941176  0.4535147
-#> 36                  0.55555556  0.9070295
-#> 37                  0.59090909  0.2267574
-#> 38                  0.60869565  0.4535147
-#> 39                  0.61111111  0.4535147
-#> 40                  0.63636364  0.2267574
-#> 41                  0.64705882  0.2267574
-#> 42                  0.65000000  0.4535147
-#> 43                  0.65217391  0.4535147
-#> 44                  0.66666667  0.2267574
-#> 45                  0.73913043  0.4535147
-#> 46                  0.75000000  0.2267574
-#> 47                  0.77272727  0.2267574
-#> 48                  0.78260870  0.4535147
-#> 49                  0.78571429  0.4535147
-#> 50                  0.81818182  0.2267574
-#> 51                  0.82352941  0.4535147
-#> 52                  0.82608696  0.2267574
-#> 53                  0.83333333  0.2267574
-#> 54                  0.85714286  0.2267574
-#> 55                  0.86363636  0.2267574
-#> 56                  0.86956522  0.2267574
-#> 57                  0.87500000  0.2267574
-#> 58                  0.90909091  0.2267574
-#> 59                  0.91304348  0.2267574
-#> 60                  0.94444444  0.4535147
-#> 61                  0.95652174  0.2267574
-#> 62                  1.00000000  0.4535147
-#> 63                  1.04347826  0.6802721
-#> 64                  1.05000000  0.2267574
-#> 65                  1.05555556  0.2267574
-#> 66                  1.06250000  0.2267574
-#> 67                  1.10000000  0.2267574
-#> 68                  1.11764706  0.2267574
-#> 69                  1.17391304  0.2267574
-#> 70                  1.17647059  0.4535147
-#> 71                  1.20000000  0.4535147
-#> 72                  1.21739130  0.2267574
-#> 73                  1.22222222  0.4535147
-#> 74                  1.22727273  0.2267574
-#> 75                  1.23529412  0.2267574
-#> 76                  1.25000000  0.2267574
-#> 77                  1.26086957  0.2267574
-#> 78                  1.27272727  0.2267574
-#> 79                  1.27777778  0.2267574
-#> 80                  1.29411765  0.2267574
-#> 81                  1.30434783  0.4535147
-#> 82                  1.33333333  0.4535147
-#> 83                  1.35294118  0.4535147
-#> 84                  1.38888889  0.4535147
-#> 85                  1.47058824  0.2267574
-#> 86                  1.47826087  0.2267574
-#> 87                  1.50000000  0.4535147
-#> 88                  1.52173913  0.2267574
-#> 89                  1.55555556  0.4535147
-#> 90                  1.60000000  0.2267574
-#> 91                  1.61111111  0.2267574
-#> 92                  1.66666667  0.2267574
-#> 93                  1.70588235  0.2267574
-#> 94                  1.75000000  0.2267574
-#> 95                  1.76470588  0.2267574
-#> 96                  1.78260870  0.4535147
-#> 97                  1.82608696  0.2267574
-#> 98                  1.88235294  0.2267574
-#> 99                  1.92857143  0.2267574
-#> 100                 1.94117647  0.2267574
-#> 101                 1.94444444  0.2267574
-#> 102                 1.95454545  0.4535147
-#> 103                 2.00000000  0.2267574
-#> 104                 2.04545455  0.2267574
-#> 105                 2.05000000  0.2267574
-#> 106                 2.07142857  0.2267574
-#> 107                 2.11764706  0.6802721
-#> 108                 2.14285714  0.2267574
-#> 109                 2.15000000  0.2267574
-#> 110                 2.20000000  0.2267574
-#> 111                 2.21739130  0.2267574
-#> 112                 2.26086957  0.2267574
-#> 113                 2.27272727  0.2267574
-#> 114                 2.27777778  0.2267574
-#> 115                 2.29411765  0.2267574
-#> 116                 2.30434783  0.2267574
-#> 117                 2.35000000  0.2267574
-#> 118                 2.38888889  0.2267574
-#> 119                 2.39130435  0.2267574
-#> 120                 2.45000000  0.2267574
-#> 121                 2.45454545  0.2267574
-#> 122                 2.50000000  0.2267574
-#> 123                 2.65000000  0.2267574
-#> 124                 2.66666667  0.2267574
-#> 125                 2.68750000  0.2267574
-#> 126                 2.70000000  0.2267574
-#> 127                 2.70588235  0.2267574
-#> 128                 2.80000000  0.2267574
-#> 129                 2.82352941  0.2267574
-#> 130                 2.83333333  0.2267574
-#> 131                 2.86956522  0.2267574
-#> 132                 2.88888889  0.2267574
-#> 133                 2.94444444  0.2267574
-#> 134                 2.95454545  0.2267574
-#> 135                 3.00000000  0.2267574
-#> 136                 3.12500000  0.2267574
-#> 137                 3.17647059  0.2267574
-#> 138                 3.21739130  0.2267574
-#> 139                 3.23529412  0.2267574
-#> 140                 3.33333333  0.2267574
-#> 141                 3.35000000  0.2267574
-#> 142                 3.35294118  0.2267574
-#> 143                 3.38095238  0.2267574
-#> 144                 3.47058824  0.2267574
-#> 145                 3.47826087  0.2267574
-#> 146                 3.52941176  0.2267574
-#> 147                 3.64705882  0.2267574
-#> 148                 3.72222222  0.2267574
-#> 149                 3.77777778  0.2267574
-#> 150                 3.88235294  0.2267574
-#> 151                 4.00000000  0.6802721
-#> 152                 4.05000000  0.2267574
-#> 153                 4.05882353  0.2267574
-#> 154                 4.17647059  0.2267574
-#> 155                 4.27777778  0.2267574
-#> 156                 4.55555556  0.2267574
-#> 157                 4.64285714  0.2267574
-#> 158                 4.75000000  0.2267574
-#> 159                 4.86956522  0.2267574
-#> 160                 4.94117647  0.2267574
-#> 161                 5.07142857  0.2267574
-#> 162                 5.47058824  0.4535147
-#> 163                 5.61111111  0.2267574
-#> 164                 5.65000000  0.2267574
-#> 165                 5.66666667  0.2267574
-#> 166                 5.76470588  0.4535147
-#> 167                 6.30000000  0.2267574
-#> 168                 6.33333333  0.2267574
-#> 169                 6.34782609  0.2267574
-#> 170                 6.43478261  0.2267574
-#> 171                 6.45000000  0.2267574
-#> 172                 6.80000000  0.4535147
-#> 173                 7.00000000  0.2267574
-#> 174                 7.16666667  0.2267574
-#> 175                 7.20000000  0.2267574
-#> 176                 7.25000000  0.2267574
-#> 177                 8.00000000  0.2267574
-#> 178                 8.05555556  0.2267574
-#> 179                 9.05000000  0.2267574
-#> 180                 9.40000000  0.2267574
-#> 181                 9.64705882  0.2267574
-#> 182                10.20000000  0.2267574
-#> 183                11.05000000  0.2267574
-#> 184                11.57142857  0.2267574
-#> 185                11.94117647  0.2267574
-#> 186                14.62500000  0.2267574
-#> 187                14.77777778  0.2267574
-#> 188                14.80000000  0.2267574
-#> 189                15.06250000  0.2267574
-#> 190                15.29411765  0.2267574
-#> 191                16.14285714  0.2267574
-#> 192                18.55000000  0.2267574
-#> 193                19.22222222  0.2267574
-#> 194                24.05555556  0.2267574
-#> 195                24.35000000  0.2267574
-#> 
-#> 
-#> [[3]]$args
-#> [[3]]$args$acoustics
-#>       individual_id transmitter_id index           timestamp receiver_id
-#> 1                25   A69-1303-555     1 2016-03-17 01:50:00          26
-#> 2                25   A69-1303-555     2 2016-03-17 01:52:00          26
-#> 3                25   A69-1303-555     4 2016-03-17 01:54:00          26
-#> 4                25   A69-1303-555     5 2016-03-17 01:58:00          26
-#> 5                25   A69-1303-555     7 2016-03-17 02:00:00          26
-#> 6                25   A69-1303-555     8 2016-03-17 02:04:00          26
-#> 7                25   A69-1303-555     9 2016-03-17 02:06:00          26
-#> 8                25   A69-1303-555    10 2016-03-17 02:08:00          26
-#> 9                25   A69-1303-555    12 2016-03-17 02:10:00          26
-#> 10               25   A69-1303-555    14 2016-03-17 02:12:00          26
-#> 11               25   A69-1303-555    15 2016-03-17 02:14:00          26
-#> 12               25   A69-1303-555    17 2016-03-17 02:16:00          26
-#> 13               25   A69-1303-555    19 2016-03-17 02:18:00          26
-#> 14               25   A69-1303-555    21 2016-03-17 02:20:00          26
-#> 15               25   A69-1303-555    22 2016-03-17 02:22:00          26
-#> 16               25   A69-1303-555    23 2016-03-17 02:24:00          26
-#> 17               25   A69-1303-555    24 2016-03-17 02:30:00          26
-#> 18               25   A69-1303-555    25 2016-03-17 02:32:00          26
-#> 19               25   A69-1303-555    26 2016-03-17 02:52:00          21
-#> 20               25   A69-1303-555    27 2016-03-17 02:54:00          26
-#> 21               25   A69-1303-555    28 2016-03-17 02:56:00          26
-#> 22               25   A69-1303-555    29 2016-03-17 02:56:00          21
-#> 23               25   A69-1303-555    31 2016-03-17 02:58:00          21
-#> 24               25   A69-1303-555    33 2016-03-17 03:00:00          21
-#> 25               25   A69-1303-555    34 2016-03-17 03:02:00          21
-#> 26               25   A69-1303-555    35 2016-03-17 03:04:00          21
-#> 27               25   A69-1303-555    37 2016-03-17 03:06:00          21
-#> 28               25   A69-1303-555    39 2016-03-17 03:08:00          21
-#> 29               25   A69-1303-555    42 2016-03-17 03:10:00          21
-#> 30               25   A69-1303-555    44 2016-03-17 03:12:00          21
-#> 31               25   A69-1303-555    46 2016-03-17 03:16:00          21
-#> 32               25   A69-1303-555    48 2016-03-17 03:18:00          21
-#> 33               25   A69-1303-555    49 2016-03-17 03:20:00          21
-#> 34               25   A69-1303-555    51 2016-03-17 03:22:00          21
-#> 35               25   A69-1303-555    54 2016-03-17 03:24:00          21
-#> 36               25   A69-1303-555    55 2016-03-17 03:26:00          21
-#> 37               25   A69-1303-555    57 2016-03-17 03:28:00          21
-#> 38               25   A69-1303-555    59 2016-03-17 03:30:00          21
-#> 39               25   A69-1303-555    60 2016-03-17 03:32:00          21
-#> 40               25   A69-1303-555    62 2016-03-17 03:36:00          21
-#> 41               25   A69-1303-555    64 2016-03-17 03:38:00          21
-#> 42               25   A69-1303-555    66 2016-03-17 03:40:00          21
-#> 43               25   A69-1303-555    67 2016-03-17 03:42:00          26
-#> 44               25   A69-1303-555    68 2016-03-17 03:44:00          26
-#> 45               25   A69-1303-555    69 2016-03-17 03:46:00          26
-#> 46               25   A69-1303-555    71 2016-03-17 03:48:00          26
-#> 47               25   A69-1303-555    73 2016-03-17 03:50:00          26
-#> 48               25   A69-1303-555    74 2016-03-17 03:54:00          26
-#> 49               25   A69-1303-555    75 2016-03-17 04:04:00          26
-#> 50               25   A69-1303-555    77 2016-03-17 04:06:00          26
-#> 51               25   A69-1303-555    78 2016-03-17 04:08:00          26
-#> 52               25   A69-1303-555    79 2016-03-17 04:08:00          21
-#> 53               25   A69-1303-555    80 2016-03-17 04:12:00          21
-#> 54               25   A69-1303-555    81 2016-03-17 04:32:00          26
-#> 55               25   A69-1303-555    82 2016-03-17 04:34:00          26
-#> 56               25   A69-1303-555    83 2016-03-17 04:38:00          26
-#> 57               25   A69-1303-555    84 2016-03-17 04:44:00          26
-#> 58               25   A69-1303-555    85 2016-03-17 04:48:00          26
-#> 59               25   A69-1303-555    86 2016-03-17 04:50:00          26
-#> 60               25   A69-1303-555    87 2016-03-17 04:54:00          26
-#> 61               25   A69-1303-555    88 2016-03-17 04:56:00          26
-#> 62               25   A69-1303-555    90 2016-03-17 04:58:00          26
-#> 63               25   A69-1303-555    92 2016-03-17 05:00:00          26
-#> 64               25   A69-1303-555    94 2016-03-17 05:02:00          26
-#> 65               25   A69-1303-555    96 2016-03-17 05:04:00          26
-#> 66               25   A69-1303-555    97 2016-03-17 05:06:00          26
-#> 67               25   A69-1303-555    99 2016-03-17 05:06:00          31
-#> 68               25   A69-1303-555   100 2016-03-17 05:08:00          26
-#> 69               25   A69-1303-555   102 2016-03-17 05:10:00          31
-#> 70               25   A69-1303-555   103 2016-03-17 05:10:00          26
-#> 71               25   A69-1303-555   105 2016-03-17 05:12:00          26
-#> 72               25   A69-1303-555   107 2016-03-17 05:14:00          26
-#> 73               25   A69-1303-555   109 2016-03-17 05:16:00          26
-#> 74               25   A69-1303-555   111 2016-03-17 05:18:00          26
-#> 75               25   A69-1303-555   112 2016-03-17 05:20:00          31
-#> 76               25   A69-1303-555   113 2016-03-17 05:20:00          26
-#> 77               25   A69-1303-555   116 2016-03-17 05:22:00          26
-#> 78               25   A69-1303-555   117 2016-03-17 05:24:00          26
-#> 79               25   A69-1303-555   119 2016-03-17 05:26:00          26
-#> 80               25   A69-1303-555   120 2016-03-17 05:28:00          26
-#> 81               25   A69-1303-555   121 2016-03-17 05:30:00          26
-#> 82               25   A69-1303-555   123 2016-03-17 05:32:00          26
-#> 83               25   A69-1303-555   125 2016-03-17 05:34:00          26
-#> 84               25   A69-1303-555   127 2016-03-17 05:36:00          26
-#> 85               25   A69-1303-555   129 2016-03-17 05:38:00          26
-#> 86               25   A69-1303-555   131 2016-03-17 05:40:00          26
-#> 87               25   A69-1303-555   132 2016-03-17 08:36:00          26
-#> 88               25   A69-1303-555   133 2016-03-17 08:40:00          26
-#> 89               25   A69-1303-555   134 2016-03-17 08:42:00          26
-#> 90               25   A69-1303-555   136 2016-03-17 08:44:00          26
-#> 91               25   A69-1303-555   137 2016-03-17 08:46:00          26
-#> 92               25   A69-1303-555   138 2016-03-17 08:50:00          26
-#> 93               25   A69-1303-555   139 2016-03-17 08:50:00          31
-#> 94               25   A69-1303-555   142 2016-03-17 08:52:00          26
-#> 95               25   A69-1303-555   144 2016-03-17 08:52:00          31
-#> 96               25   A69-1303-555   146 2016-03-17 08:54:00          31
-#> 97               25   A69-1303-555   147 2016-03-17 08:54:00          26
-#> 98               25   A69-1303-555   148 2016-03-17 08:58:00          31
-#> 99               25   A69-1303-555   149 2016-03-17 08:58:00          26
-#> 100              25   A69-1303-555   151 2016-03-17 09:00:00          26
-#> 101              25   A69-1303-555   152 2016-03-17 09:00:00          31
-#> 102              25   A69-1303-555   154 2016-03-17 09:02:00          26
-#> 103              25   A69-1303-555   155 2016-03-21 21:06:00          26
-#> 104              25   A69-1303-555   156 2016-03-21 21:08:00          26
-#> 105              25   A69-1303-555   157 2016-03-21 22:20:00          26
-#> 106              25   A69-1303-555   158 2016-03-21 22:24:00          26
-#> 107              25   A69-1303-555   159 2016-03-21 22:26:00          26
-#> 108              25   A69-1303-555   161 2016-03-21 22:28:00          26
-#> 109              25   A69-1303-555   162 2016-03-21 22:34:00          26
-#> 110              25   A69-1303-555   163 2016-03-21 22:36:00          26
-#> 111              25   A69-1303-555   165 2016-03-21 22:38:00          26
-#> 112              25   A69-1303-555   166 2016-03-21 22:40:00          26
-#> 113              25   A69-1303-555   167 2016-03-21 22:42:00          26
-#> 114              25   A69-1303-555   168 2016-03-21 22:44:00          26
-#> 115              25   A69-1303-555   169 2016-03-21 22:46:00          26
-#> 116              25   A69-1303-555   171 2016-03-21 22:48:00          26
-#> 117              25   A69-1303-555   173 2016-03-21 22:50:00          26
-#> 118              25   A69-1303-555   175 2016-03-21 22:52:00          26
-#> 119              25   A69-1303-555   176 2016-03-21 22:54:00          26
-#> 120              25   A69-1303-555   177 2016-03-21 22:56:00          26
-#> 121              25   A69-1303-555   180 2016-03-21 23:00:00          26
-#> 122              25   A69-1303-555   181 2016-03-21 23:04:00          26
-#> 123              25   A69-1303-555   182 2016-03-21 23:06:00          26
-#> 124              25   A69-1303-555   183 2016-03-21 23:08:00          26
-#> 125              25   A69-1303-555   184 2016-03-22 05:28:00          26
-#> 126              25   A69-1303-555   185 2016-03-22 05:30:00          26
-#> 127              25   A69-1303-555   186 2016-03-22 05:36:00          26
-#> 128              25   A69-1303-555   187 2016-03-22 05:40:00          26
-#> 129              25   A69-1303-555   188 2016-03-22 05:42:00          26
-#> 130              25   A69-1303-555   190 2016-03-22 05:44:00          26
-#> 131              25   A69-1303-555   191 2016-03-22 05:48:00          26
-#> 132              25   A69-1303-555   192 2016-03-22 05:50:00          26
-#> 133              25   A69-1303-555   193 2016-03-22 05:52:00          26
-#> 134              25   A69-1303-555   194 2016-03-22 07:36:00          26
-#> 135              25   A69-1303-555   195 2016-03-22 07:44:00          26
-#> 136              25   A69-1303-555   196 2016-03-22 08:20:00          26
-#> 137              25   A69-1303-555   197 2016-03-22 08:22:00          26
-#> 138              25   A69-1303-555   198 2016-03-22 08:24:00          26
-#> 139              25   A69-1303-555   200 2016-03-22 08:26:00          26
-#> 140              25   A69-1303-555   201 2016-03-22 08:28:00          26
-#> 141              25   A69-1303-555   202 2016-03-22 08:30:00          26
-#> 142              25   A69-1303-555   204 2016-03-23 22:42:00          11
-#> 143              25   A69-1303-555   205 2016-03-23 22:44:00          11
-#> 144              25   A69-1303-555   206 2016-03-23 22:46:00          11
-#> 145              25   A69-1303-555   207 2016-03-23 22:48:00          11
-#> 146              25   A69-1303-555   209 2016-03-23 23:26:00          11
-#> 147              25   A69-1303-555   211 2016-03-23 23:30:00          11
-#> 148              25   A69-1303-555   212 2016-03-23 23:40:00          11
-#> 149              25   A69-1303-555   213 2016-03-23 23:44:00          11
-#> 150              25   A69-1303-555   214 2016-03-23 23:46:00          11
-#> 151              25   A69-1303-555   216 2016-03-23 23:50:00          11
-#> 152              25   A69-1303-555   217 2016-03-23 23:52:00          11
-#> 153              25   A69-1303-555   219 2016-03-23 23:54:00          11
-#> 154              25   A69-1303-555   221 2016-03-23 23:56:00          11
-#> 155              25   A69-1303-555   223 2016-03-23 23:58:00          11
-#> 156              25   A69-1303-555   225 2016-03-24 00:00:00          11
-#> 157              25   A69-1303-555   227 2016-03-24 00:02:00          11
-#> 158              25   A69-1303-555   228 2016-03-24 00:04:00          11
-#> 159              25   A69-1303-555   230 2016-03-24 00:06:00          11
-#> 160              25   A69-1303-555   231 2016-03-24 00:10:00          11
-#> 161              25   A69-1303-555   232 2016-03-24 00:12:00          11
-#> 162              25   A69-1303-555   233 2016-03-24 00:20:00          11
-#> 163              25   A69-1303-555   234 2016-03-24 00:22:00          11
-#> 164              25   A69-1303-555   236 2016-03-24 00:24:00          11
-#> 165              25   A69-1303-555   237 2016-03-24 00:26:00          11
-#> 166              25   A69-1303-555   238 2016-03-24 00:28:00          11
-#> 167              25   A69-1303-555   240 2016-03-24 00:30:00          11
-#> 168              25   A69-1303-555   242 2016-03-24 00:40:00          11
-#> 169              25   A69-1303-555   244 2016-03-24 00:42:00          11
-#> 170              25   A69-1303-555   245 2016-03-24 00:44:00          11
-#> 171              25   A69-1303-555   247 2016-03-24 00:46:00          11
-#> 172              25   A69-1303-555   249 2016-03-24 00:48:00          11
-#> 173              25   A69-1303-555   250 2016-03-24 00:50:00          11
-#> 174              25   A69-1303-555   252 2016-03-24 00:52:00          11
-#> 175              25   A69-1303-555   253 2016-03-24 00:54:00          11
-#> 176              25   A69-1303-555   255 2016-03-24 00:56:00          11
-#> 177              25   A69-1303-555   257 2016-03-24 00:58:00          11
-#> 178              25   A69-1303-555   260 2016-03-24 01:00:00          11
-#> 179              25   A69-1303-555   261 2016-03-24 01:02:00          11
-#> 180              25   A69-1303-555   263 2016-03-24 01:04:00          11
-#> 181              25   A69-1303-555   265 2016-03-24 01:20:00          11
-#> 182              25   A69-1303-555   266 2016-03-24 01:26:00          11
-#> 183              25   A69-1303-555   267 2016-03-24 01:34:00          11
-#> 184              25   A69-1303-555   268 2016-03-24 01:46:00          11
-#> 185              25   A69-1303-555   269 2016-03-24 01:56:00          11
-#> 186              25   A69-1303-555   270 2016-03-24 02:06:00          11
-#> 187              25   A69-1303-555   271 2016-03-24 17:40:00          14
-#> 188              25   A69-1303-555   273 2016-03-24 17:42:00          14
-#> 189              25   A69-1303-555   274 2016-03-24 17:44:00          14
-#> 190              25   A69-1303-555   276 2016-03-24 17:46:00          14
-#> 191              25   A69-1303-555   277 2016-03-24 17:48:00          14
-#> 192              25   A69-1303-555   278 2016-03-24 17:50:00          14
-#> 193              25   A69-1303-555   280 2016-03-24 17:52:00          14
-#> 194              25   A69-1303-555   281 2016-03-24 17:54:00          14
-#> 195              25   A69-1303-555   282 2016-03-24 17:56:00          14
-#> 196              25   A69-1303-555   283 2016-03-24 17:58:00          14
-#> 197              25   A69-1303-555   285 2016-03-24 18:00:00          14
-#> 198              25   A69-1303-555   288 2016-03-24 18:02:00          14
-#> 199              25   A69-1303-555   290 2016-03-24 18:04:00          14
-#> 200              25   A69-1303-555   292 2016-03-24 18:08:00          14
-#> 201              25   A69-1303-555   293 2016-03-24 18:14:00          14
-#> 202              25   A69-1303-555   294 2016-03-24 18:16:00          14
-#> 203              25   A69-1303-555   295 2016-03-24 18:18:00          14
-#> 204              25   A69-1303-555   297 2016-03-24 18:20:00          14
-#> 205              25   A69-1303-555   299 2016-03-24 18:22:00          14
-#> 206              25   A69-1303-555   301 2016-03-24 18:24:00          14
-#> 207              25   A69-1303-555   303 2016-03-24 18:26:00          14
-#> 208              25   A69-1303-555   304 2016-03-24 18:28:00          14
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-#> 479              25   A69-1303-555   711 2016-03-29 14:56:00           3
-#> 480              25   A69-1303-555   712 2016-03-29 15:12:00           3
-#> 481              25   A69-1303-555   713 2016-03-29 15:16:00           3
-#> 482              25   A69-1303-555   714 2016-03-29 15:18:00           3
-#> 483              25   A69-1303-555   715 2016-03-29 15:20:00           3
-#> 484              25   A69-1303-555   716 2016-03-29 15:22:00           3
-#> 485              25   A69-1303-555   718 2016-03-29 15:24:00           3
-#> 486              25   A69-1303-555   719 2016-03-29 15:26:00           3
-#> 487              25   A69-1303-555   721 2016-03-29 15:28:00           3
-#> 488              25   A69-1303-555   723 2016-03-29 15:30:00           3
-#> 489              25   A69-1303-555   724 2016-03-29 15:32:00           3
-#> 490              25   A69-1303-555   725 2016-03-29 15:36:00           3
-#> 491              25   A69-1303-555   726 2016-03-29 15:38:00           3
-#> 492              25   A69-1303-555   728 2016-03-29 16:02:00           9
-#> 493              25   A69-1303-555   729 2016-03-29 16:06:00           9
-#> 494              25   A69-1303-555   730 2016-03-29 16:08:00           9
-#> 495              25   A69-1303-555   731 2016-03-29 16:08:00           3
-#> 496              25   A69-1303-555   732 2016-03-29 16:10:00           3
-#> 497              25   A69-1303-555   733 2016-03-29 16:14:00           3
-#> 498              25   A69-1303-555   735 2016-03-29 16:18:00           3
-#> 499              25   A69-1303-555   736 2016-03-29 16:24:00           3
-#> 500              25   A69-1303-555   738 2016-04-01 07:34:00          26
-#> 501              25   A69-1303-555   739 2016-04-01 07:36:00          26
-#> 502              25   A69-1303-555   740 2016-04-01 07:38:00          26
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-#> 505              25   A69-1303-555   744 2016-04-01 08:54:00          26
-#> 506              25   A69-1303-555   745 2016-04-01 09:56:00          26
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-#> 509              25   A69-1303-555   749 2016-04-01 10:06:00          26
-#> 510              25   A69-1303-555   751 2016-04-01 10:08:00          26
-#> 511              25   A69-1303-555   753 2016-04-01 10:12:00          26
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-#> 515              25   A69-1303-555   760 2016-04-01 10:20:00          26
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-#> 517              25   A69-1303-555   763 2016-04-01 10:26:00          26
-#> 518              25   A69-1303-555   765 2016-04-01 10:30:00          26
-#> 519              25   A69-1303-555   766 2016-04-01 10:36:00          26
-#> 520              25   A69-1303-555   767 2016-04-01 10:38:00          26
-#> 521              25   A69-1303-555   768 2016-04-01 10:40:00          26
-#> 522              25   A69-1303-555   769 2016-04-01 10:44:00          26
-#> 523              25   A69-1303-555   770 2016-04-01 10:48:00          26
-#> 524              25   A69-1303-555   771 2016-04-01 11:54:00          26
-#> 525              25   A69-1303-555   773 2016-04-07 05:26:00          26
-#> 526              25   A69-1303-555   775 2016-04-07 05:28:00          26
-#> 527              25   A69-1303-555   776 2016-04-07 05:32:00          26
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-#> 530              25   A69-1303-555   780 2016-04-07 06:38:00          26
-#> 531              25   A69-1303-555   782 2016-04-07 06:40:00          26
-#> 532              25   A69-1303-555   784 2016-04-07 06:42:00          26
-#> 533              25   A69-1303-555   785 2016-04-07 06:46:00          26
-#> 534              25   A69-1303-555   787 2016-04-07 06:48:00          26
-#> 535              25   A69-1303-555   789 2016-04-07 06:50:00          26
-#> 536              25   A69-1303-555   790 2016-04-07 06:52:00          26
-#> 537              25   A69-1303-555   792 2016-04-07 06:54:00          26
-#> 538              25   A69-1303-555   793 2016-04-07 06:58:00          26
-#> 539              25   A69-1303-555   795 2016-04-07 13:24:00          26
-#> 540              25   A69-1303-555   797 2016-04-12 01:58:00          26
-#> 541              25   A69-1303-555   798 2016-04-12 02:00:00          26
-#> 542              25   A69-1303-555   800 2016-04-12 02:02:00          26
-#> 543              25   A69-1303-555   801 2016-04-12 03:20:00          31
-#> 544              25   A69-1303-555   802 2016-04-12 03:22:00          31
-#> 545              25   A69-1303-555   803 2016-04-12 03:24:00          31
-#> 546              25   A69-1303-555   804 2016-04-12 03:30:00          26
-#> 547              25   A69-1303-555   805 2016-04-12 03:32:00          26
-#> 548              25   A69-1303-555   806 2016-04-16 06:36:00          26
-#> 549              25   A69-1303-555   808 2016-04-16 06:38:00          26
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-#> 551              25   A69-1303-555   812 2016-04-16 06:42:00          26
-#> 552              25   A69-1303-555   813 2016-04-16 07:00:00          26
-#> 553              25   A69-1303-555   814 2016-04-16 07:02:00          26
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-#> 555              25   A69-1303-555   816 2016-04-16 07:10:00          26
-#> 556              25   A69-1303-555   819 2016-04-16 07:12:00          26
-#> 557              25   A69-1303-555   821 2016-04-16 07:14:00          26
-#> 558              25   A69-1303-555   822 2016-04-16 07:16:00          26
-#> 559              25   A69-1303-555   823 2016-04-16 07:20:00          26
-#> 560              25   A69-1303-555   824 2016-04-16 07:24:00          26
-#> 561              25   A69-1303-555   825 2016-04-16 07:30:00          26
-#> 562              25   A69-1303-555   828 2016-04-16 07:32:00          26
-#> 563              25   A69-1303-555   830 2016-04-16 07:34:00          26
-#> 564              25   A69-1303-555   831 2016-04-16 07:36:00          26
-#> 565              25   A69-1303-555   833 2016-04-16 07:42:00          26
-#> 566              25   A69-1303-555   834 2016-04-16 07:44:00          26
-#> 567              25   A69-1303-555   836 2016-04-16 07:46:00          26
-#> 568              25   A69-1303-555   837 2016-04-16 08:04:00          26
-#> 569              25   A69-1303-555   838 2016-04-16 08:18:00          26
-#> 570              25   A69-1303-555   839 2016-04-16 08:20:00          26
-#> 571              25   A69-1303-555   840 2016-04-16 08:22:00          26
-#> 572              25   A69-1303-555   841 2016-04-16 08:26:00          26
-#> 573              25   A69-1303-555   842 2016-04-24 00:38:00          26
-#> 574              25   A69-1303-555   843 2016-04-24 00:46:00          26
-#> 575              25   A69-1303-555   845 2016-04-24 00:48:00          26
-#> 576              25   A69-1303-555   848 2016-04-24 00:50:00          26
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-#> 578              25   A69-1303-555   851 2016-04-24 00:54:00          26
-#> 579              25   A69-1303-555   852 2016-04-24 00:56:00          26
-#> 580              25   A69-1303-555   855 2016-04-24 00:58:00          31
-#> 581              25   A69-1303-555   856 2016-04-24 01:02:00          26
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-#> 583              25   A69-1303-555   858 2016-04-24 01:16:00          26
-#> 584              25   A69-1303-555   860 2016-04-24 01:18:00          26
-#> 585              25   A69-1303-555   861 2016-04-24 01:20:00          26
-#> 586              25   A69-1303-555   862 2016-04-24 01:20:00          31
-#> 587              25   A69-1303-555   863 2016-04-24 01:22:00          26
-#> 588              25   A69-1303-555   864 2016-04-24 01:24:00          26
-#> 589              25   A69-1303-555   865 2016-04-24 01:24:00          31
-#> 590              25   A69-1303-555   867 2016-04-24 01:26:00          26
-#> 591              25   A69-1303-555   869 2016-04-27 03:38:00          30
-#> 592              25   A69-1303-555   871 2016-04-28 03:18:00          26
-#> 593              25   A69-1303-555   873 2016-04-28 03:20:00          26
-#> 594              25   A69-1303-555   875 2016-04-28 03:22:00          26
-#> 595              25   A69-1303-555   877 2016-04-28 03:24:00          26
-#> 596              25   A69-1303-555   878 2016-04-28 03:26:00          26
-#> 597              25   A69-1303-555   880 2016-04-28 03:28:00          26
-#> 598              25   A69-1303-555   881 2016-04-28 03:30:00          26
-#> 599              25   A69-1303-555   883 2016-04-28 03:50:00          26
-#> 600              25   A69-1303-555   884 2016-04-28 04:02:00          26
-#> 601              25   A69-1303-555   885 2016-04-28 04:26:00          26
-#> 602              25   A69-1303-555   886 2016-04-28 04:28:00          26
-#> 603              25   A69-1303-555   887 2016-05-03 13:16:00          26
-#> 604              25   A69-1303-555   888 2016-05-03 13:20:00          26
-#> 605              25   A69-1303-555   889 2016-05-03 14:50:00          26
-#> 606              25   A69-1303-555   890 2016-05-03 14:52:00          26
-#> 607              25   A69-1303-555   891 2016-05-03 14:58:00          26
-#> 608              25   A69-1303-555   892 2016-05-03 15:00:00          26
-#> 609              25   A69-1303-555   893 2016-05-03 15:02:00          26
-#> 610              25   A69-1303-555   894 2016-05-03 15:20:00          26
-#> 611              25   A69-1303-555   896 2016-05-03 18:02:00          26
-#> 612              25   A69-1303-555   897 2016-05-03 18:06:00          26
-#> 613              25   A69-1303-555   898 2016-05-08 11:48:00          31
-#> 614              25   A69-1303-555   900 2016-05-08 11:50:00          31
-#> 615              25   A69-1303-555   901 2016-05-08 11:52:00          31
-#> 616              25   A69-1303-555   902 2016-05-08 11:54:00          31
-#> 617              25   A69-1303-555   903 2016-05-08 12:14:00          31
-#> 618              25   A69-1303-555   904 2016-05-08 12:20:00          26
-#> 619              25   A69-1303-555   906 2016-05-08 12:22:00          26
-#> 620              25   A69-1303-555   907 2016-05-08 12:24:00          26
-#> 621              25   A69-1303-555   911 2016-05-08 12:26:00          26
-#> 622              25   A69-1303-555   912 2016-05-08 12:28:00          26
-#> 623              25   A69-1303-555   913 2016-05-08 12:30:00          26
-#> 624              25   A69-1303-555   914 2016-05-08 12:32:00          26
-#> 625              25   A69-1303-555   916 2016-05-08 12:34:00          26
-#> 626              25   A69-1303-555   917 2016-05-08 12:36:00          26
-#> 627              25   A69-1303-555   918 2016-05-08 12:42:00          26
-#> 628              25   A69-1303-555   919 2016-05-08 12:44:00          26
-#> 629              25   A69-1303-555   921 2016-05-08 12:46:00          26
-#> 630              25   A69-1303-555   923 2016-05-14 14:58:00          26
-#> 631              25   A69-1303-555   924 2016-05-14 15:00:00          26
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-#> 633              25   A69-1303-555   927 2016-05-14 15:12:00          26
-#> 634              25   A69-1303-555   929 2016-05-14 15:14:00          26
-#> 635              25   A69-1303-555   930 2016-05-14 15:16:00          26
-#> 636              25   A69-1303-555   932 2016-05-14 15:18:00          26
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-#> 645              25   A69-1303-555   946 2016-05-14 15:34:00          26
-#> 646              25   A69-1303-555   948 2016-05-14 19:58:00          26
-#> 647              25   A69-1303-555   949 2016-05-14 20:00:00          26
-#> 648              25   A69-1303-555   950 2016-05-14 20:02:00          26
-#> 649              25   A69-1303-555   951 2016-05-14 20:04:00          26
-#> 650              25   A69-1303-555   952 2016-05-14 21:12:00          31
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-#> 655              25   A69-1303-555   960 2016-05-14 21:34:00          31
-#> 656              25   A69-1303-555   961 2016-05-14 21:36:00          31
-#> 657              25   A69-1303-555   962 2016-05-14 21:38:00          31
-#> 658              25   A69-1303-555   964 2016-05-14 21:42:00          31
-#> 659              25   A69-1303-555   966 2016-05-14 21:44:00          31
-#> 660              25   A69-1303-555   967 2016-05-14 21:46:00          31
-#> 661              25   A69-1303-555   968 2016-05-14 21:48:00          31
-#> 662              25   A69-1303-555   970 2016-05-14 21:52:00          31
-#> 663              25   A69-1303-555   971 2016-05-14 21:58:00          31
-#> 664              25   A69-1303-555   972 2016-05-14 22:00:00          31
-#> 665              25   A69-1303-555   973 2016-05-14 22:02:00          31
-#> 666              25   A69-1303-555   974 2016-05-14 22:04:00          31
-#> 667              25   A69-1303-555   975 2016-05-14 23:24:00          26
-#> 668              25   A69-1303-555   976 2016-05-14 23:26:00          26
-#> 669              25   A69-1303-555   977 2016-05-14 23:28:00          26
-#> 670              25   A69-1303-555   979 2016-05-14 23:30:00          26
-#> 671              25   A69-1303-555   982 2016-05-14 23:32:00          26
-#> 672              25   A69-1303-555   984 2016-05-14 23:34:00          26
-#> 673              25   A69-1303-555   985 2016-05-14 23:36:00          26
-#> 674              25   A69-1303-555   986 2016-05-14 23:38:00          26
-#> 675              25   A69-1303-555   988 2016-05-14 23:42:00          26
-#> 676              25   A69-1303-555   989 2016-05-14 23:46:00          26
-#> 677              25   A69-1303-555   992 2016-05-14 23:52:00          26
-#> 678              25   A69-1303-555   993 2016-05-14 23:54:00          26
-#> 679              25   A69-1303-555   994 2016-05-14 23:56:00          26
-#> 680              25   A69-1303-555   996 2016-05-14 23:58:00          26
-#> 681              25   A69-1303-555   997 2016-05-17 23:42:00          14
-#> 682              25   A69-1303-555   998 2016-05-17 23:46:00          14
-#> 683              25   A69-1303-555   999 2016-05-17 23:48:00          14
-#> 684              25   A69-1303-555  1000 2016-05-17 23:50:00          14
-#> 685              25   A69-1303-555  1001 2016-05-17 23:52:00          14
-#> 686              25   A69-1303-555  1002 2016-05-17 23:56:00          14
-#> 687              25   A69-1303-555  1003 2016-05-17 23:58:00          14
-#> 688              25   A69-1303-555  1005 2016-05-18 00:00:00          14
-#> 689              25   A69-1303-555  1008 2016-05-18 00:02:00          14
-#> 690              25   A69-1303-555  1009 2016-05-18 00:04:00          14
-#> 691              25   A69-1303-555  1011 2016-05-18 00:06:00          14
-#> 692              25   A69-1303-555  1013 2016-05-18 00:08:00          14
-#> 693              25   A69-1303-555  1015 2016-05-18 00:10:00          14
-#> 694              25   A69-1303-555  1017 2016-05-18 00:12:00          14
-#> 695              25   A69-1303-555  1018 2016-05-18 00:14:00          14
-#> 696              25   A69-1303-555  1020 2016-05-18 00:16:00          14
-#> 697              25   A69-1303-555  1021 2016-05-18 00:18:00          14
-#> 698              25   A69-1303-555  1022 2016-05-18 00:20:00          14
-#> 699              25   A69-1303-555  1024 2016-05-18 00:22:00          14
-#> 700              25   A69-1303-555  1026 2016-05-18 00:24:00          14
-#> 701              25   A69-1303-555  1027 2016-05-18 00:26:00          14
-#> 702              25   A69-1303-555  1029 2016-05-18 00:28:00          14
-#> 703              25   A69-1303-555  1031 2016-05-18 00:30:00          14
-#> 704              25   A69-1303-555  1032 2016-05-18 00:32:00          14
-#> 705              25   A69-1303-555  1034 2016-05-18 00:34:00          14
-#> 706              25   A69-1303-555  1036 2016-05-18 00:36:00          14
-#> 707              25   A69-1303-555  1038 2016-05-18 00:38:00          14
-#> 708              25   A69-1303-555  1040 2016-05-18 00:42:00          14
-#> 709              25   A69-1303-555  1041 2016-05-18 00:44:00          14
-#> 710              25   A69-1303-555  1042 2016-05-18 00:46:00          14
-#> 711              25   A69-1303-555  1043 2016-05-18 00:48:00          14
-#> 712              25   A69-1303-555  1044 2016-05-18 00:50:00          14
-#> 713              25   A69-1303-555  1045 2016-05-18 00:52:00          14
-#> 714              25   A69-1303-555  1046 2016-05-18 00:54:00          14
-#> 715              25   A69-1303-555  1048 2016-05-18 00:58:00          14
-#> 716              25   A69-1303-555  1049 2016-05-18 01:02:00          14
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-#> 718              25   A69-1303-555  1051 2016-05-18 01:16:00          14
-#> 719              25   A69-1303-555  1052 2016-05-18 01:18:00          14
-#> 720              25   A69-1303-555  1054 2016-05-18 01:20:00          14
-#> 721              25   A69-1303-555  1056 2016-05-18 01:22:00          14
-#> 722              25   A69-1303-555  1057 2016-05-18 01:24:00          14
-#> 723              25   A69-1303-555  1059 2016-05-18 01:26:00          14
-#> 724              25   A69-1303-555  1062 2016-05-18 01:28:00          14
-#> 725              25   A69-1303-555  1063 2016-05-18 01:30:00          14
-#> 726              25   A69-1303-555  1065 2016-05-18 01:32:00          14
-#> 727              25   A69-1303-555  1067 2016-05-18 01:34:00          14
-#> 728              25   A69-1303-555  1069 2016-05-18 01:36:00          14
-#> 729              25   A69-1303-555  1071 2016-05-18 01:38:00          14
-#> 730              25   A69-1303-555  1073 2016-05-18 01:40:00          14
-#> 731              25   A69-1303-555  1075 2016-05-18 01:42:00          14
-#> 732              25   A69-1303-555  1077 2016-05-18 01:48:00          14
-#> 733              25   A69-1303-555  1079 2016-05-18 01:50:00          14
-#> 734              25   A69-1303-555  1081 2016-05-18 01:52:00          14
-#> 735              25   A69-1303-555  1083 2016-05-18 01:54:00          14
-#> 736              25   A69-1303-555  1085 2016-05-18 01:56:00          14
-#> 737              25   A69-1303-555  1087 2016-05-18 01:58:00          14
-#> 738              25   A69-1303-555  1089 2016-05-18 02:00:00          14
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-#> 1758             25   A69-1303-555  2777 2016-06-03 15:06:00          14
-#> 1759             25   A69-1303-555  2779 2016-06-03 15:10:00          14
-#> 1760             25   A69-1303-555  2781 2016-06-03 15:12:00          14
-#> 1761             25   A69-1303-555  2783 2016-06-03 15:14:00          14
-#> 1762             25   A69-1303-555  2785 2016-06-03 15:16:00          14
-#> 1763             25   A69-1303-555  2787 2016-06-03 15:18:00          14
-#> 1764             25   A69-1303-555  2788 2016-06-03 15:22:00          14
-#> 1765             25   A69-1303-555  2789 2016-06-03 15:24:00          14
-#> 1766             25   A69-1303-555  2791 2016-06-03 15:26:00          14
-#> 1767             25   A69-1303-555  2793 2016-06-03 15:28:00          14
-#> 1768             25   A69-1303-555  2795 2016-06-03 15:30:00          14
-#> 1769             25   A69-1303-555  2797 2016-06-03 15:32:00          14
-#> 1770             25   A69-1303-555  2799 2016-06-03 15:34:00          14
-#> 1771             25   A69-1303-555  2801 2016-06-03 15:36:00          14
-#> 1772             25   A69-1303-555  2803 2016-06-03 15:38:00          14
-#> 1773             25   A69-1303-555  2804 2016-06-03 15:40:00          14
-#> 1774             25   A69-1303-555  2806 2016-06-03 15:42:00          14
-#> 1775             25   A69-1303-555  2808 2016-06-03 15:44:00          14
-#> 1776             25   A69-1303-555  2809 2016-06-03 15:46:00          14
-#> 1777             25   A69-1303-555  2811 2016-06-03 15:48:00          14
-#> 1778             25   A69-1303-555  2814 2016-06-03 15:50:00          14
-#> 1779             25   A69-1303-555  2815 2016-06-03 15:52:00          14
-#> 1780             25   A69-1303-555  2816 2016-06-03 15:54:00          14
-#> 1781             25   A69-1303-555  2817 2016-06-03 15:56:00          14
-#> 1782             25   A69-1303-555  2819 2016-06-03 15:58:00          14
-#> 1783             25   A69-1303-555  2821 2016-06-03 16:00:00          14
-#> 1784             25   A69-1303-555  2822 2016-06-03 16:02:00          14
-#> 1785             25   A69-1303-555  2823 2016-06-03 16:06:00          14
-#> 1786             25   A69-1303-555  2825 2016-06-03 16:18:00          14
-#> 1787             25   A69-1303-555  2826 2016-06-03 16:24:00          14
-#> 1788             25   A69-1303-555  2827 2016-06-03 16:46:00          14
-#> 1789             25   A69-1303-555  2828 2016-06-03 16:50:00          14
-#> 1790             25   A69-1303-555  2829 2016-06-03 16:58:00          14
-#> 1791             25   A69-1303-555  2831 2016-06-03 17:00:00          14
-#> 1792             25   A69-1303-555  2832 2016-06-03 17:02:00          14
-#> 1793             25   A69-1303-555  2833 2016-06-03 17:04:00          14
-#> 1794             25   A69-1303-555  2834 2016-06-03 17:06:00          14
-#> 1795             25   A69-1303-555  2835 2016-06-03 17:08:00          14
-#> 1796             25   A69-1303-555  2836 2016-06-03 17:10:00          14
-#> 1797             25   A69-1303-555  2837 2016-06-03 17:12:00          14
-#> 1798             25   A69-1303-555  2838 2016-06-03 17:14:00          14
-#> 1799             25   A69-1303-555  2839 2016-06-03 17:16:00          14
-#> 1800             25   A69-1303-555  2842 2016-06-03 17:18:00          14
-#> 1801             25   A69-1303-555  2843 2016-06-03 17:20:00          14
-#> 1802             25   A69-1303-555  2845 2016-06-03 17:22:00          14
-#> 1803             25   A69-1303-555  2847 2016-06-03 17:24:00          14
-#> 1804             25   A69-1303-555  2849 2016-06-03 17:26:00          14
-#> 1805             25   A69-1303-555  2851 2016-06-03 17:28:00          14
-#> 1806             25   A69-1303-555  2853 2016-06-03 17:30:00          14
-#> 1807             25   A69-1303-555  2855 2016-06-03 17:32:00          14
-#> 1808             25   A69-1303-555  2857 2016-06-03 17:34:00          14
-#> 1809             25   A69-1303-555  2858 2016-06-03 17:36:00          14
-#> 1810             25   A69-1303-555  2860 2016-06-03 17:38:00          14
-#> 1811             25   A69-1303-555  2862 2016-06-03 17:40:00          14
-#> 1812             25   A69-1303-555  2864 2016-06-03 17:42:00          14
-#> 1813             25   A69-1303-555  2865 2016-06-03 17:44:00          14
-#> 1814             25   A69-1303-555  2866 2016-06-03 17:48:00          14
-#> 1815             25   A69-1303-555  2868 2016-06-03 17:50:00          14
-#> 1816             25   A69-1303-555  2869 2016-06-03 17:52:00          14
-#> 1817             25   A69-1303-555  2871 2016-06-03 17:54:00          14
-#> 1818             25   A69-1303-555  2872 2016-06-03 17:56:00          14
-#> 1819             25   A69-1303-555  2875 2016-06-03 18:00:00          14
-#> 1820             25   A69-1303-555  2876 2016-06-03 18:02:00          14
-#> 1821             25   A69-1303-555  2877 2016-06-03 18:04:00          14
-#> 1822             25   A69-1303-555  2879 2016-06-03 18:06:00          14
-#> 1823             25   A69-1303-555  2881 2016-06-03 18:08:00          14
-#> 1824             25   A69-1303-555  2883 2016-06-03 18:10:00          14
-#> 1825             25   A69-1303-555  2884 2016-06-03 18:20:00          14
-#> 1826             25   A69-1303-555  2886 2016-06-03 18:22:00          14
-#> 1827             25   A69-1303-555  2888 2016-06-03 18:24:00          14
-#> 1828             25   A69-1303-555  2889 2016-06-03 18:26:00          14
-#> 1829             25   A69-1303-555  2891 2016-06-03 18:28:00          14
-#> 1830             25   A69-1303-555  2893 2016-06-03 18:30:00          14
-#> 1831             25   A69-1303-555  2895 2016-06-03 18:32:00          14
-#> 1832             25   A69-1303-555  2897 2016-06-03 18:34:00          14
-#> 1833             25   A69-1303-555  2898 2016-06-03 18:36:00          14
-#> 1834             25   A69-1303-555  2899 2016-06-03 18:38:00          14
-#> 1835             25   A69-1303-555  2900 2016-06-03 18:40:00          14
-#> 1836             25   A69-1303-555  2901 2016-06-03 18:42:00          14
-#> 1837             25   A69-1303-555  2904 2016-06-03 18:44:00          14
-#> 1838             25   A69-1303-555  2905 2016-06-03 18:48:00          14
-#> 1839             25   A69-1303-555  2906 2016-06-03 18:50:00          14
-#> 1840             25   A69-1303-555  2907 2016-06-03 18:56:00          14
-#> 1841             25   A69-1303-555  2908 2016-06-03 18:58:00          14
-#> 1842             25   A69-1303-555  2909 2016-06-03 19:02:00          14
-#> 1843             25   A69-1303-555  2910 2016-06-03 19:04:00          14
-#> 1844             25   A69-1303-555  2912 2016-06-03 19:06:00          14
-#> 1845             25   A69-1303-555  2913 2016-06-03 19:08:00          14
-#> 1846             25   A69-1303-555  2915 2016-06-03 19:10:00          14
-#> 1847             25   A69-1303-555  2917 2016-06-03 19:12:00          14
-#> 1848             25   A69-1303-555  2919 2016-06-03 19:14:00          14
-#> 1849             25   A69-1303-555  2921 2016-06-03 19:16:00          14
-#> 1850             25   A69-1303-555  2922 2016-06-03 19:18:00          14
-#> 1851             25   A69-1303-555  2925 2016-06-03 19:20:00          14
-#> 1852             25   A69-1303-555  2926 2016-06-03 19:22:00          14
-#> 1853             25   A69-1303-555  2927 2016-06-03 19:24:00          14
-#> 1854             25   A69-1303-555  2929 2016-06-03 19:26:00          14
-#> 1855             25   A69-1303-555  2932 2016-06-03 19:28:00          14
-#> 1856             25   A69-1303-555  2935 2016-06-03 19:30:00          14
-#> 1857             25   A69-1303-555  2937 2016-06-03 19:32:00          14
-#> 1858             25   A69-1303-555  2940 2016-06-04 00:40:00          14
-#> 1859             25   A69-1303-555  2941 2016-06-04 00:42:00          14
-#> 1860             25   A69-1303-555  2942 2016-06-04 00:46:00          14
-#> 1861             25   A69-1303-555  2943 2016-06-04 00:48:00          14
-#> 1862             25   A69-1303-555  2944 2016-06-04 01:00:00          14
-#> 1863             25   A69-1303-555  2945 2016-06-04 01:04:00          14
-#> 1864             25   A69-1303-555  2946 2016-06-04 01:10:00          14
-#> 1865             25   A69-1303-555  2947 2016-06-04 01:12:00          14
-#> 1866             25   A69-1303-555  2948 2016-06-04 01:14:00          14
-#> 1867             25   A69-1303-555  2949 2016-06-04 01:16:00          14
-#> 1868             25   A69-1303-555  2951 2016-06-04 01:18:00          14
-#> 1869             25   A69-1303-555  2952 2016-06-04 01:20:00          14
-#> 1870             25   A69-1303-555  2954 2016-06-04 01:22:00          14
-#> 1871             25   A69-1303-555  2956 2016-06-04 01:24:00          14
-#> 1872             25   A69-1303-555  2957 2016-06-04 01:26:00          14
-#> 1873             25   A69-1303-555  2959 2016-06-04 01:28:00          14
-#> 1874             25   A69-1303-555  2962 2016-06-04 01:30:00          14
-#> 1875             25   A69-1303-555  2963 2016-06-04 01:32:00          14
-#> 1876             25   A69-1303-555  2966 2016-06-04 01:34:00          14
-#> 1877             25   A69-1303-555  2967 2016-06-04 01:36:00          14
-#> 1878             25   A69-1303-555  2968 2016-06-04 01:38:00          14
-#> 1879             25   A69-1303-555  2969 2016-06-04 01:40:00          14
-#> 1880             25   A69-1303-555  2970 2016-06-04 01:44:00          14
-#> 1881             25   A69-1303-555  2972 2016-06-04 01:48:00          14
-#> 1882             25   A69-1303-555  2974 2016-06-04 01:50:00          14
-#> 1883             25   A69-1303-555  2976 2016-06-04 01:54:00          14
-#> 1884             25   A69-1303-555  2978 2016-06-04 01:56:00          14
-#> 1885             25   A69-1303-555  2980 2016-06-04 01:58:00          14
-#> 1886             25   A69-1303-555  2981 2016-06-04 02:00:00          14
-#> 1887             25   A69-1303-555  2983 2016-06-04 02:02:00          14
-#> 1888             25   A69-1303-555  2984 2016-06-04 02:04:00          14
-#> 1889             25   A69-1303-555  2986 2016-06-04 02:06:00          14
-#> 1890             25   A69-1303-555  2988 2016-06-04 02:08:00          14
-#> 1891             25   A69-1303-555  2990 2016-06-04 02:10:00          14
-#> 1892             25   A69-1303-555  2992 2016-06-04 02:12:00          14
-#> 1893             25   A69-1303-555  2994 2016-06-04 02:18:00          14
-#> 1894             25   A69-1303-555  2996 2016-06-04 02:20:00          14
-#> 1895             25   A69-1303-555  2997 2016-06-04 02:22:00          14
-#> 1896             25   A69-1303-555  3000 2016-06-04 02:24:00          14
-#> 1897             25   A69-1303-555  3002 2016-06-04 02:26:00          14
-#> 1898             25   A69-1303-555  3004 2016-06-04 02:28:00          14
-#> 1899             25   A69-1303-555  3005 2016-06-04 02:34:00          14
-#> 1900             25   A69-1303-555  3006 2016-06-04 02:36:00          14
-#> 1901             25   A69-1303-555  3007 2016-06-04 03:12:00          14
-#> 1902             25   A69-1303-555  3009 2016-06-04 03:14:00          14
-#> 1903             25   A69-1303-555  3011 2016-06-04 03:16:00          14
-#> 1904             25   A69-1303-555  3012 2016-06-04 03:18:00          14
-#> 1905             25   A69-1303-555  3013 2016-06-04 03:22:00          14
-#> 1906             25   A69-1303-555  3014 2016-06-04 03:26:00          14
-#> 1907             25   A69-1303-555  3016 2016-06-04 03:28:00          14
-#> 1908             25   A69-1303-555  3017 2016-06-04 03:30:00          14
-#> 1909             25   A69-1303-555  3018 2016-06-04 03:56:00          14
-#> 1910             25   A69-1303-555  3019 2016-06-04 03:58:00          14
-#> 1911             25   A69-1303-555  3021 2016-06-04 04:00:00          14
-#> 1912             25   A69-1303-555  3022 2016-06-04 04:02:00          14
-#> 1913             25   A69-1303-555  3023 2016-06-04 04:04:00          14
-#> 1914             25   A69-1303-555  3025 2016-06-04 04:06:00          14
-#> 1915             25   A69-1303-555  3027 2016-06-04 04:08:00          14
-#> 1916             25   A69-1303-555  3029 2016-06-04 04:10:00          14
-#> 1917             25   A69-1303-555  3030 2016-06-04 04:12:00          14
-#> 1918             25   A69-1303-555  3031 2016-06-04 04:16:00          14
-#> 1919             25   A69-1303-555  3034 2016-06-04 04:24:00          14
-#> 1920             25   A69-1303-555  3035 2016-06-04 04:26:00          14
-#> 1921             25   A69-1303-555  3037 2016-06-04 04:28:00          14
-#> 1922             25   A69-1303-555  3038 2016-06-04 04:32:00          14
-#> 1923             25   A69-1303-555  3039 2016-06-04 04:34:00          14
-#> 1924             25   A69-1303-555  3040 2016-06-04 04:38:00          14
-#> 1925             25   A69-1303-555  3042 2016-06-04 04:40:00          14
-#> 1926             25   A69-1303-555  3044 2016-06-04 04:42:00          14
-#> 1927             25   A69-1303-555  3045 2016-06-04 04:44:00          14
-#> 1928             25   A69-1303-555  3047 2016-06-04 04:46:00          14
-#> 1929             25   A69-1303-555  3049 2016-06-04 04:48:00          14
-#> 1930             25   A69-1303-555  3050 2016-06-04 04:50:00          14
-#> 1931             25   A69-1303-555  3052 2016-06-04 04:52:00          14
-#> 1932             25   A69-1303-555  3054 2016-06-04 04:54:00          14
-#> 1933             25   A69-1303-555  3055 2016-06-04 04:56:00          14
-#> 1934             25   A69-1303-555  3057 2016-06-04 04:58:00          14
-#> 1935             25   A69-1303-555  3059 2016-06-04 05:00:00          14
-#> 1936             25   A69-1303-555  3061 2016-06-04 05:02:00          14
-#> 1937             25   A69-1303-555  3063 2016-06-04 05:04:00          14
-#> 1938             25   A69-1303-555  3065 2016-06-04 05:08:00          14
-#> 1939             25   A69-1303-555  3066 2016-06-04 05:16:00          14
-#> 1940             25   A69-1303-555  3068 2016-06-04 07:00:00          14
-#> 1941             25   A69-1303-555  3069 2016-06-04 07:04:00          14
-#> 1942             25   A69-1303-555  3071 2016-06-04 07:06:00          14
-#> 1943             25   A69-1303-555  3072 2016-06-04 07:10:00          14
-#> 1944             25   A69-1303-555  3075 2016-06-04 07:12:00          14
-#> 1945             25   A69-1303-555  3076 2016-06-04 07:14:00          14
-#> 1946             25   A69-1303-555  3078 2016-06-04 07:18:00          14
-#> 1947             25   A69-1303-555  3079 2016-06-04 10:26:00          14
-#> 1948             25   A69-1303-555  3080 2016-06-04 10:34:00          14
-#> 1949             25   A69-1303-555  3081 2016-06-04 10:40:00          14
-#> 1950             25   A69-1303-555  3082 2016-06-04 11:08:00          14
-#> 1951             25   A69-1303-555  3083 2016-06-04 11:10:00          14
-#> 1952             25   A69-1303-555  3084 2016-06-04 11:24:00          14
-#> 1953             25   A69-1303-555  3085 2016-06-04 11:38:00          14
-#> 1954             25   A69-1303-555  3086 2016-06-04 12:02:00          14
-#> 1955             25   A69-1303-555  3087 2016-06-04 18:46:00          14
-#> 1956             25   A69-1303-555  3088 2016-06-04 18:48:00          14
-#> 1957             25   A69-1303-555  3089 2016-06-04 19:14:00          14
-#> 1958             25   A69-1303-555  3090 2016-06-04 19:16:00          14
-#> 1959             25   A69-1303-555  3091 2016-06-07 09:50:00          14
-#> 1960             25   A69-1303-555  3092 2016-06-07 09:58:00          14
-#> 1961             25   A69-1303-555  3093 2016-06-07 10:08:00          14
-#> 1962             25   A69-1303-555  3094 2016-06-07 10:10:00          14
-#> 1963             25   A69-1303-555  3095 2016-06-07 10:14:00          14
-#> 1964             25   A69-1303-555  3096 2016-06-07 10:56:00          14
-#> 1965             25   A69-1303-555  3097 2016-06-07 10:58:00          14
-#> 1966             25   A69-1303-555  3098 2016-06-07 11:10:00          14
-#> 1967             25   A69-1303-555  3100 2016-06-07 11:14:00          14
-#> 1968             25   A69-1303-555  3103 2016-06-07 11:16:00          14
-#> 1969             25   A69-1303-555  3104 2016-06-07 11:22:00          14
-#> 1970             25   A69-1303-555  3105 2016-06-07 11:26:00          14
-#> 1971             25   A69-1303-555  3106 2016-06-07 11:28:00          14
-#> 1972             25   A69-1303-555  3108 2016-06-07 11:30:00          14
-#> 1973             25   A69-1303-555  3109 2016-06-07 11:32:00          14
-#> 1974             25   A69-1303-555  3111 2016-06-07 11:34:00          14
-#> 1975             25   A69-1303-555  3112 2016-06-07 11:36:00          14
-#> 1976             25   A69-1303-555  3113 2016-06-07 11:42:00          14
-#> 1977             25   A69-1303-555  3114 2016-06-07 11:44:00          14
-#> 1978             25   A69-1303-555  3115 2016-06-07 11:48:00          14
-#> 1979             25   A69-1303-555  3116 2016-06-07 11:52:00          14
-#> 1980             25   A69-1303-555  3117 2016-06-07 11:54:00          14
-#> 1981             25   A69-1303-555  3118 2016-06-07 12:04:00          14
-#> 1982             25   A69-1303-555  3119 2016-06-07 12:06:00          14
-#> 1983             25   A69-1303-555  3121 2016-06-07 12:14:00          14
-#> 1984             25   A69-1303-555  3122 2016-06-07 12:16:00          14
-#> 1985             25   A69-1303-555  3124 2016-06-07 12:18:00          14
-#> 1986             25   A69-1303-555  3125 2016-06-07 12:20:00          14
-#> 1987             25   A69-1303-555  3126 2016-06-07 12:24:00          14
-#> 1988             25   A69-1303-555  3127 2016-06-07 12:32:00          14
-#> 1989             25   A69-1303-555  3128 2016-06-07 12:36:00          14
-#> 1990             25   A69-1303-555  3130 2016-06-07 12:38:00          14
-#> 1991             25   A69-1303-555  3132 2016-06-07 12:40:00          14
-#> 1992             25   A69-1303-555  3133 2016-06-07 12:42:00          14
-#> 1993             25   A69-1303-555  3135 2016-06-07 12:46:00          14
-#> 1994             25   A69-1303-555  3136 2016-06-07 12:48:00          14
-#> 1995             25   A69-1303-555  3138 2016-06-07 12:50:00          14
-#> 1996             25   A69-1303-555  3140 2016-06-07 12:52:00          14
-#> 1997             25   A69-1303-555  3142 2016-06-07 12:54:00          14
-#> 1998             25   A69-1303-555  3144 2016-06-07 12:56:00          14
-#> 1999             25   A69-1303-555  3146 2016-06-07 12:58:00          14
-#> 2000             25   A69-1303-555  3149 2016-06-07 13:00:00          14
-#> 2001             25   A69-1303-555  3151 2016-06-07 13:02:00          14
-#> 2002             25   A69-1303-555  3153 2016-06-07 13:04:00          14
-#> 2003             25   A69-1303-555  3154 2016-06-07 13:06:00          14
-#> 2004             25   A69-1303-555  3156 2016-06-07 13:08:00          14
-#> 2005             25   A69-1303-555  3158 2016-06-07 13:10:00          14
-#> 2006             25   A69-1303-555  3159 2016-06-07 13:12:00          14
-#> 2007             25   A69-1303-555  3160 2016-06-07 13:14:00          14
-#> 2008             25   A69-1303-555  3162 2016-06-07 13:16:00          14
-#> 2009             25   A69-1303-555  3163 2016-06-07 13:28:00          14
-#> 2010             25   A69-1303-555  3164 2016-06-07 13:32:00          14
-#> 2011             25   A69-1303-555  3165 2016-06-07 13:40:00          14
-#> 2012             25   A69-1303-555  3167 2016-06-07 13:42:00          14
-#> 2013             25   A69-1303-555  3168 2016-06-07 13:44:00          14
-#> 2014             25   A69-1303-555  3169 2016-06-07 13:48:00          14
-#> 2015             25   A69-1303-555  3170 2016-06-07 13:50:00          14
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-#> 9981             25   A69-1303-555 15347 2017-04-03 01:26:00          45
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-#> 9985             25   A69-1303-555 15351 2017-04-03 01:36:00          45
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-#> 9990             25   A69-1303-555 15360 2017-04-03 01:46:00          45
-#> 9991             25   A69-1303-555 15361 2017-04-03 01:48:00          45
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-#> 9993             25   A69-1303-555 15365 2017-04-03 01:52:00          45
-#> 9994             25   A69-1303-555 15367 2017-04-03 01:54:00          45
-#> 9995             25   A69-1303-555 15369 2017-04-03 01:56:00          45
-#> 9996             25   A69-1303-555 15370 2017-04-03 01:58:00          45
-#> 9997             25   A69-1303-555 15371 2017-04-03 02:00:00          45
-#> 9998             25   A69-1303-555 15372 2017-04-03 02:02:00          45
-#> 9999             25   A69-1303-555 15373 2017-04-03 02:04:00          45
-#> 10000            25   A69-1303-555 15376 2017-04-03 02:06:00          45
-#> 10001            25   A69-1303-555 15377 2017-04-03 02:08:00          45
-#> 10002            25   A69-1303-555 15378 2017-04-03 02:10:00          45
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-#> 10021            25   A69-1303-555 15410 2017-04-03 02:54:00          45
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-#> 11027            25   A69-1303-555 16860 2017-04-27 21:24:00          45
-#> 11028            25   A69-1303-555 16863 2017-04-27 21:26:00          45
-#> 11029            25   A69-1303-555 16865 2017-04-27 21:28:00          45
-#> 11030            25   A69-1303-555 16867 2017-04-27 21:30:00          45
-#> 11031            25   A69-1303-555 16868 2017-04-27 21:32:00          45
-#> 11032            25   A69-1303-555 16871 2017-04-27 21:38:00          45
-#> 11033            25   A69-1303-555 16873 2017-04-27 21:40:00          45
-#> 11034            25   A69-1303-555 16874 2017-04-27 21:42:00          45
-#> 11035            25   A69-1303-555 16876 2017-04-27 21:46:00          45
-#> 11036            25   A69-1303-555 16877 2017-04-27 21:50:00          45
-#> 11037            25   A69-1303-555 16878 2017-04-27 21:52:00          45
-#> 11038            25   A69-1303-555 16879 2017-04-27 21:54:00          45
-#> 11039            25   A69-1303-555 16881 2017-04-27 21:58:00          45
-#> 11040            25   A69-1303-555 16882 2017-04-27 22:00:00          45
-#> 11041            25   A69-1303-555 16884 2017-04-27 22:04:00          45
-#> 11042            25   A69-1303-555 16887 2017-04-27 22:06:00          45
-#> 11043            25   A69-1303-555 16889 2017-04-27 22:08:00          45
-#> 11044            25   A69-1303-555 16890 2017-04-27 22:10:00          45
-#> 11045            25   A69-1303-555 16891 2017-04-27 22:12:00          45
-#> 11046            25   A69-1303-555 16893 2017-04-27 22:14:00          45
-#> 11047            25   A69-1303-555 16895 2017-04-27 22:16:00          45
-#> 11048            25   A69-1303-555 16896 2017-04-27 22:18:00          45
-#> 11049            25   A69-1303-555 16899 2017-04-27 22:20:00          45
-#> 11050            25   A69-1303-555 16900 2017-04-27 22:22:00          45
-#> 11051            25   A69-1303-555 16901 2017-04-27 22:24:00          45
-#> 11052            25   A69-1303-555 16902 2017-04-27 22:26:00          45
-#> 11053            25   A69-1303-555 16904 2017-04-27 22:28:00          45
-#> 11054            25   A69-1303-555 16905 2017-04-27 22:30:00          45
-#> 11055            25   A69-1303-555 16907 2017-04-27 22:32:00          45
-#> 11056            25   A69-1303-555 16909 2017-04-27 22:34:00          45
-#> 11057            25   A69-1303-555 16910 2017-04-27 22:36:00          45
-#> 11058            25   A69-1303-555 16913 2017-04-27 22:38:00          45
-#> 11059            25   A69-1303-555 16915 2017-04-27 22:40:00          45
-#> 11060            25   A69-1303-555 16917 2017-04-27 22:42:00          45
-#> 11061            25   A69-1303-555 16919 2017-04-27 22:44:00          45
-#> 11062            25   A69-1303-555 16921 2017-04-27 22:46:00          45
-#> 11063            25   A69-1303-555 16922 2017-04-27 22:48:00          45
-#> 11064            25   A69-1303-555 16924 2017-04-27 22:50:00          45
-#> 11065            25   A69-1303-555 16926 2017-04-27 22:52:00          45
-#> 11066            25   A69-1303-555 16927 2017-04-27 22:54:00          45
-#> 11067            25   A69-1303-555 16929 2017-04-27 22:56:00          45
-#> 11068            25   A69-1303-555 16930 2017-04-27 22:58:00          45
-#> 11069            25   A69-1303-555 16932 2017-04-27 23:00:00          45
-#> 11070            25   A69-1303-555 16934 2017-04-27 23:02:00          45
-#> 11071            25   A69-1303-555 16937 2017-04-27 23:04:00          45
-#> 11072            25   A69-1303-555 16939 2017-04-27 23:06:00          45
-#> 11073            25   A69-1303-555 16941 2017-04-27 23:08:00          45
-#> 11074            25   A69-1303-555 16943 2017-04-27 23:10:00          45
-#> 11075            25   A69-1303-555 16944 2017-04-27 23:12:00          45
-#> 11076            25   A69-1303-555 16945 2017-04-27 23:14:00          45
-#> 11077            25   A69-1303-555 16948 2017-04-27 23:16:00          45
-#> 11078            25   A69-1303-555 16950 2017-04-27 23:18:00          45
-#> 11079            25   A69-1303-555 16951 2017-04-27 23:20:00          45
-#> 11080            25   A69-1303-555 16953 2017-04-27 23:22:00          45
-#> 11081            25   A69-1303-555 16954 2017-04-27 23:24:00          45
-#> 11082            25   A69-1303-555 16957 2017-04-27 23:26:00          45
-#> 11083            25   A69-1303-555 16958 2017-04-27 23:28:00          45
-#> 11084            25   A69-1303-555 16960 2017-04-27 23:30:00          45
-#> 11085            25   A69-1303-555 16962 2017-04-27 23:32:00          45
-#> 11086            25   A69-1303-555 16963 2017-04-27 23:34:00          45
-#> 11087            25   A69-1303-555 16965 2017-04-27 23:36:00          45
-#> 11088            25   A69-1303-555 16966 2017-04-27 23:38:00          45
-#> 11089            25   A69-1303-555 16968 2017-04-27 23:40:00          45
-#> 11090            25   A69-1303-555 16969 2017-04-27 23:42:00          45
-#> 11091            25   A69-1303-555 16970 2017-04-27 23:46:00          45
-#> 11092            25   A69-1303-555 16971 2017-04-27 23:48:00          56
-#> 11093            25   A69-1303-555 16972 2017-04-27 23:50:00          45
-#> 11094            25   A69-1303-555 16974 2017-04-27 23:52:00          45
-#> 11095            25   A69-1303-555 16976 2017-04-27 23:54:00          45
-#> 11096            25   A69-1303-555 16977 2017-04-27 23:54:00          56
-#> 11097            25   A69-1303-555 16978 2017-04-27 23:56:00          45
-#> 11098            25   A69-1303-555 16979 2017-04-27 23:58:00          45
-#> 11099            25   A69-1303-555 16981 2017-04-28 00:00:00          56
-#> 11100            25   A69-1303-555 16983 2017-04-28 00:02:00          56
-#> 11101            25   A69-1303-555 16984 2017-04-28 00:04:00          45
-#> 11102            25   A69-1303-555 16985 2017-04-28 00:06:00          56
-#> 11103            25   A69-1303-555 16986 2017-04-28 00:08:00          56
-#> 11104            25   A69-1303-555 16987 2017-04-28 00:10:00          45
-#> 11105            25   A69-1303-555 16988 2017-04-28 00:10:00          56
-#> 11106            25   A69-1303-555 16989 2017-04-28 00:12:00          56
-#> 11107            25   A69-1303-555 16990 2017-04-28 00:12:00          45
-#> 11108            25   A69-1303-555 16991 2017-04-28 00:14:00          45
-#> 11109            25   A69-1303-555 16992 2017-04-28 00:16:00          45
-#> 11110            25   A69-1303-555 16993 2017-04-28 00:16:00          56
-#> 11111            25   A69-1303-555 16995 2017-04-28 00:18:00          45
-#>           receiver receiver_long receiver_lat receiver_depth
-#> 1      VR2W-108163     -5.610733     56.37628             25
-#> 2      VR2W-108163     -5.610733     56.37628             25
-#> 3      VR2W-108163     -5.610733     56.37628             25
-#> 4      VR2W-108163     -5.610733     56.37628             25
-#> 5      VR2W-108163     -5.610733     56.37628             25
-#> 6      VR2W-108163     -5.610733     56.37628             25
-#> 7      VR2W-108163     -5.610733     56.37628             25
-#> 8      VR2W-108163     -5.610733     56.37628             25
-#> 9      VR2W-108163     -5.610733     56.37628             25
-#> 10     VR2W-108163     -5.610733     56.37628             25
-#> 11     VR2W-108163     -5.610733     56.37628             25
-#> 12     VR2W-108163     -5.610733     56.37628             25
-#> 13     VR2W-108163     -5.610733     56.37628             25
-#> 14     VR2W-108163     -5.610733     56.37628             25
-#> 15     VR2W-108163     -5.610733     56.37628             25
-#> 16     VR2W-108163     -5.610733     56.37628             25
-#> 17     VR2W-108163     -5.610733     56.37628             25
-#> 18     VR2W-108163     -5.610733     56.37628             25
-#> 19     VR2W-108158     -5.619533     56.37413             25
-#> 20     VR2W-108163     -5.610733     56.37628             25
-#> 21     VR2W-108163     -5.610733     56.37628             25
-#> 22     VR2W-108158     -5.619533     56.37413             25
-#> 23     VR2W-108158     -5.619533     56.37413             25
-#> 24     VR2W-108158     -5.619533     56.37413             25
-#> 25     VR2W-108158     -5.619533     56.37413             25
-#> 26     VR2W-108158     -5.619533     56.37413             25
-#> 27     VR2W-108158     -5.619533     56.37413             25
-#> 28     VR2W-108158     -5.619533     56.37413             25
-#> 29     VR2W-108158     -5.619533     56.37413             25
-#> 30     VR2W-108158     -5.619533     56.37413             25
-#> 31     VR2W-108158     -5.619533     56.37413             25
-#> 32     VR2W-108158     -5.619533     56.37413             25
-#> 33     VR2W-108158     -5.619533     56.37413             25
-#> 34     VR2W-108158     -5.619533     56.37413             25
-#> 35     VR2W-108158     -5.619533     56.37413             25
-#> 36     VR2W-108158     -5.619533     56.37413             25
-#> 37     VR2W-108158     -5.619533     56.37413             25
-#> 38     VR2W-108158     -5.619533     56.37413             25
-#> 39     VR2W-108158     -5.619533     56.37413             25
-#> 40     VR2W-108158     -5.619533     56.37413             25
-#> 41     VR2W-108158     -5.619533     56.37413             25
-#> 42     VR2W-108158     -5.619533     56.37413             25
-#> 43     VR2W-108163     -5.610733     56.37628             25
-#> 44     VR2W-108163     -5.610733     56.37628             25
-#> 45     VR2W-108163     -5.610733     56.37628             25
-#> 46     VR2W-108163     -5.610733     56.37628             25
-#> 47     VR2W-108163     -5.610733     56.37628             25
-#> 48     VR2W-108163     -5.610733     56.37628             25
-#> 49     VR2W-108163     -5.610733     56.37628             25
-#> 50     VR2W-108163     -5.610733     56.37628             25
-#> 51     VR2W-108163     -5.610733     56.37628             25
-#> 52     VR2W-108158     -5.619533     56.37413             25
-#> 53     VR2W-108158     -5.619533     56.37413             25
-#> 54     VR2W-108163     -5.610733     56.37628             25
-#> 55     VR2W-108163     -5.610733     56.37628             25
-#> 56     VR2W-108163     -5.610733     56.37628             25
-#> 57     VR2W-108163     -5.610733     56.37628             25
-#> 58     VR2W-108163     -5.610733     56.37628             25
-#> 59     VR2W-108163     -5.610733     56.37628             25
-#> 60     VR2W-108163     -5.610733     56.37628             25
-#> 61     VR2W-108163     -5.610733     56.37628             25
-#> 62     VR2W-108163     -5.610733     56.37628             25
-#> 63     VR2W-108163     -5.610733     56.37628             25
-#> 64     VR2W-108163     -5.610733     56.37628             25
-#> 65     VR2W-108163     -5.610733     56.37628             25
-#> 66     VR2W-108163     -5.610733     56.37628             25
-#> 67     VR2W-120722     -5.602283     56.37748             25
-#> 68     VR2W-108163     -5.610733     56.37628             25
-#> 69     VR2W-120722     -5.602283     56.37748             25
-#> 70     VR2W-108163     -5.610733     56.37628             25
-#> 71     VR2W-108163     -5.610733     56.37628             25
-#> 72     VR2W-108163     -5.610733     56.37628             25
-#> 73     VR2W-108163     -5.610733     56.37628             25
-#> 74     VR2W-108163     -5.610733     56.37628             25
-#> 75     VR2W-120722     -5.602283     56.37748             25
-#> 76     VR2W-108163     -5.610733     56.37628             25
-#> 77     VR2W-108163     -5.610733     56.37628             25
-#> 78     VR2W-108163     -5.610733     56.37628             25
-#> 79     VR2W-108163     -5.610733     56.37628             25
-#> 80     VR2W-108163     -5.610733     56.37628             25
-#> 81     VR2W-108163     -5.610733     56.37628             25
-#> 82     VR2W-108163     -5.610733     56.37628             25
-#> 83     VR2W-108163     -5.610733     56.37628             25
-#> 84     VR2W-108163     -5.610733     56.37628             25
-#> 85     VR2W-108163     -5.610733     56.37628             25
-#> 86     VR2W-108163     -5.610733     56.37628             25
-#> 87     VR2W-108163     -5.610733     56.37628             25
-#> 88     VR2W-108163     -5.610733     56.37628             25
-#> 89     VR2W-108163     -5.610733     56.37628             25
-#> 90     VR2W-108163     -5.610733     56.37628             25
-#> 91     VR2W-108163     -5.610733     56.37628             25
-#> 92     VR2W-108163     -5.610733     56.37628             25
-#> 93     VR2W-120722     -5.602283     56.37748             25
-#> 94     VR2W-108163     -5.610733     56.37628             25
-#> 95     VR2W-120722     -5.602283     56.37748             25
-#> 96     VR2W-120722     -5.602283     56.37748             25
-#> 97     VR2W-108163     -5.610733     56.37628             25
-#> 98     VR2W-120722     -5.602283     56.37748             25
-#> 99     VR2W-108163     -5.610733     56.37628             25
-#> 100    VR2W-108163     -5.610733     56.37628             25
-#> 101    VR2W-120722     -5.602283     56.37748             25
-#> 102    VR2W-108163     -5.610733     56.37628             25
-#> 103    VR2W-108163     -5.610733     56.37628             25
-#> 104    VR2W-108163     -5.610733     56.37628             25
-#> 105    VR2W-108163     -5.610733     56.37628             25
-#> 106    VR2W-108163     -5.610733     56.37628             25
-#> 107    VR2W-108163     -5.610733     56.37628             25
-#> 108    VR2W-108163     -5.610733     56.37628             25
-#> 109    VR2W-108163     -5.610733     56.37628             25
-#> 110    VR2W-108163     -5.610733     56.37628             25
-#> 111    VR2W-108163     -5.610733     56.37628             25
-#> 112    VR2W-108163     -5.610733     56.37628             25
-#> 113    VR2W-108163     -5.610733     56.37628             25
-#> 114    VR2W-108163     -5.610733     56.37628             25
-#> 115    VR2W-108163     -5.610733     56.37628             25
-#> 116    VR2W-108163     -5.610733     56.37628             25
-#> 117    VR2W-108163     -5.610733     56.37628             25
-#> 118    VR2W-108163     -5.610733     56.37628             25
-#> 119    VR2W-108163     -5.610733     56.37628             25
-#> 120    VR2W-108163     -5.610733     56.37628             25
-#> 121    VR2W-108163     -5.610733     56.37628             25
-#> 122    VR2W-108163     -5.610733     56.37628             25
-#> 123    VR2W-108163     -5.610733     56.37628             25
-#> 124    VR2W-108163     -5.610733     56.37628             25
-#> 125    VR2W-108163     -5.610733     56.37628             25
-#> 126    VR2W-108163     -5.610733     56.37628             25
-#> 127    VR2W-108163     -5.610733     56.37628             25
-#> 128    VR2W-108163     -5.610733     56.37628             25
-#> 129    VR2W-108163     -5.610733     56.37628             25
-#> 130    VR2W-108163     -5.610733     56.37628             25
-#> 131    VR2W-108163     -5.610733     56.37628             25
-#> 132    VR2W-108163     -5.610733     56.37628             25
-#> 133    VR2W-108163     -5.610733     56.37628             25
-#> 134    VR2W-108163     -5.610733     56.37628             25
-#> 135    VR2W-108163     -5.610733     56.37628             25
-#> 136    VR2W-108163     -5.610733     56.37628             25
-#> 137    VR2W-108163     -5.610733     56.37628             25
-#> 138    VR2W-108163     -5.610733     56.37628             25
-#> 139    VR2W-108163     -5.610733     56.37628             25
-#> 140    VR2W-108163     -5.610733     56.37628             25
-#> 141    VR2W-108163     -5.610733     56.37628             25
-#> 142       VR2-6720     -5.627150     56.50808             50
-#> 143       VR2-6720     -5.627150     56.50808             50
-#> 144       VR2-6720     -5.627150     56.50808             50
-#> 145       VR2-6720     -5.627150     56.50808             50
-#> 146       VR2-6720     -5.627150     56.50808             50
-#> 147       VR2-6720     -5.627150     56.50808             50
-#> 148       VR2-6720     -5.627150     56.50808             50
-#> 149       VR2-6720     -5.627150     56.50808             50
-#> 150       VR2-6720     -5.627150     56.50808             50
-#> 151       VR2-6720     -5.627150     56.50808             50
-#> 152       VR2-6720     -5.627150     56.50808             50
-#> 153       VR2-6720     -5.627150     56.50808             50
-#> 154       VR2-6720     -5.627150     56.50808             50
-#> 155       VR2-6720     -5.627150     56.50808             50
-#> 156       VR2-6720     -5.627150     56.50808             50
-#> 157       VR2-6720     -5.627150     56.50808             50
-#> 158       VR2-6720     -5.627150     56.50808             50
-#> 159       VR2-6720     -5.627150     56.50808             50
-#> 160       VR2-6720     -5.627150     56.50808             50
-#> 161       VR2-6720     -5.627150     56.50808             50
-#> 162       VR2-6720     -5.627150     56.50808             50
-#> 163       VR2-6720     -5.627150     56.50808             50
-#> 164       VR2-6720     -5.627150     56.50808             50
-#> 165       VR2-6720     -5.627150     56.50808             50
-#> 166       VR2-6720     -5.627150     56.50808             50
-#> 167       VR2-6720     -5.627150     56.50808             50
-#> 168       VR2-6720     -5.627150     56.50808             50
-#> 169       VR2-6720     -5.627150     56.50808             50
-#> 170       VR2-6720     -5.627150     56.50808             50
-#> 171       VR2-6720     -5.627150     56.50808             50
-#> 172       VR2-6720     -5.627150     56.50808             50
-#> 173       VR2-6720     -5.627150     56.50808             50
-#> 174       VR2-6720     -5.627150     56.50808             50
-#> 175       VR2-6720     -5.627150     56.50808             50
-#> 176       VR2-6720     -5.627150     56.50808             50
-#> 177       VR2-6720     -5.627150     56.50808             50
-#> 178       VR2-6720     -5.627150     56.50808             50
-#> 179       VR2-6720     -5.627150     56.50808             50
-#> 180       VR2-6720     -5.627150     56.50808             50
-#> 181       VR2-6720     -5.627150     56.50808             50
-#> 182       VR2-6720     -5.627150     56.50808             50
-#> 183       VR2-6720     -5.627150     56.50808             50
-#> 184       VR2-6720     -5.627150     56.50808             50
-#> 185       VR2-6720     -5.627150     56.50808             50
-#> 186       VR2-6720     -5.627150     56.50808             50
-#> 187    VR2W-107823     -5.691883     56.49690             25
-#> 188    VR2W-107823     -5.691883     56.49690             25
-#> 189    VR2W-107823     -5.691883     56.49690             25
-#> 190    VR2W-107823     -5.691883     56.49690             25
-#> 191    VR2W-107823     -5.691883     56.49690             25
-#> 192    VR2W-107823     -5.691883     56.49690             25
-#> 193    VR2W-107823     -5.691883     56.49690             25
-#> 194    VR2W-107823     -5.691883     56.49690             25
-#> 195    VR2W-107823     -5.691883     56.49690             25
-#> 196    VR2W-107823     -5.691883     56.49690             25
-#> 197    VR2W-107823     -5.691883     56.49690             25
-#> 198    VR2W-107823     -5.691883     56.49690             25
-#> 199    VR2W-107823     -5.691883     56.49690             25
-#> 200    VR2W-107823     -5.691883     56.49690             25
-#> 201    VR2W-107823     -5.691883     56.49690             25
-#> 202    VR2W-107823     -5.691883     56.49690             25
-#> 203    VR2W-107823     -5.691883     56.49690             25
-#> 204    VR2W-107823     -5.691883     56.49690             25
-#> 205    VR2W-107823     -5.691883     56.49690             25
-#> 206    VR2W-107823     -5.691883     56.49690             25
-#> 207    VR2W-107823     -5.691883     56.49690             25
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-#> 543    VR2W-120722     -5.602283     56.37748             25
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-#> 546    VR2W-108163     -5.610733     56.37628             25
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-#> 580    VR2W-120722     -5.602283     56.37748             25
-#> 581    VR2W-108163     -5.610733     56.37628             25
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-#> 586    VR2W-120722     -5.602283     56.37748             25
-#> 587    VR2W-108163     -5.610733     56.37628             25
-#> 588    VR2W-108163     -5.610733     56.37628             25
-#> 589    VR2W-120722     -5.602283     56.37748             25
-#> 590    VR2W-108163     -5.610733     56.37628             25
-#> 591    VR2W-113142     -5.634833     56.37502             50
-#> 592    VR2W-108163     -5.610733     56.37628             25
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-#> 599    VR2W-108163     -5.610733     56.37628             25
-#> 600    VR2W-108163     -5.610733     56.37628             25
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-#> 613    VR2W-120722     -5.602283     56.37748             25
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-#> 618    VR2W-108163     -5.610733     56.37628             25
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-#> 650    VR2W-120722     -5.602283     56.37748             25
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-#> 801    VR2W-107823     -5.691883     56.49690             25
-#> 802    VR2W-107823     -5.691883     56.49690             25
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-#> 820    VR2W-107823     -5.691883     56.49690             25
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-#> 871    VR2W-108163     -5.610733     56.37628             25
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-#> 900    VR2W-108160     -5.704867     56.48890             25
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-#> 2288      VR2-5635     -5.606000     56.52018             50
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-#> 2480   VR2W-113141     -5.755900     56.51000             50
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-#> 2496   VR2W-113141     -5.755900     56.51000             50
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-#> 2605   VR2W-107823     -5.691883     56.49690             25
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-#> 2799  VR2AR-546136     -5.665000     56.48650            105
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-#> 2831   VR2W-107823     -5.691883     56.49690             25
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-#> 2859   VR2W-108160     -5.704867     56.48890             25
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-#> 2878   VR2W-113141     -5.755900     56.51000             50
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-#> 3000   VR2W-113141     -5.755900     56.51000             50
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-#> 3036  VR2AR-546136     -5.665000     56.48650            105
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-#> 3099   VR2W-107823     -5.691883     56.49690             25
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-#> 3102  VR2AR-546136     -5.665000     56.48650            105
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-#> 3125   VR2W-108160     -5.704867     56.48890             25
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-#> 3132  VR2AR-546136     -5.665000     56.48650            105
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-#> 3217   VR2W-107823     -5.691883     56.49690             25
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-#> 4009      VR2-6720     -5.627150     56.50808             50
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-#> 4011   VR2W-113898     -5.596367     56.51122             50
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-#> 4252  VR2AR-546136     -5.665000     56.48650            105
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-#> 4255      VR2-6720     -5.627150     56.50808             50
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-#> 4276  VR2AR-546136     -5.665000     56.48650            105
-#> 4277  VR2AR-546136     -5.665000     56.48650            105
-#> 4278  VR2AR-546136     -5.665000     56.48650            105
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-#> 4293  VR2AR-546134     -5.628000     56.45650             40
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-#> 4315   VR2W-108160     -5.704867     56.48890             25
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-#> 4330  VR2AR-546136     -5.665000     56.48650            105
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-#> 4352      VR2-6720     -5.627150     56.50808             50
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-#> 4384  VR2AR-546134     -5.628000     56.45650             40
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-#> 4405  VR2AR-546136     -5.665000     56.48650            105
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-#> 4414   VR2W-108160     -5.704867     56.48890             25
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-#> 4438  VR2AR-546136     -5.665000     56.48650            105
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-#> 4474      VR2-6720     -5.627150     56.50808             50
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-#> 4556      VR2-6720     -5.627150     56.50808             50
-#> 4557      VR2-6720     -5.627150     56.50808             50
-#> 4558      VR2-6720     -5.627150     56.50808             50
-#> 4559      VR2-6720     -5.627150     56.50808             50
-#> 4560      VR2-6720     -5.627150     56.50808             50
-#> 4561      VR2-6720     -5.627150     56.50808             50
-#> 4562  VR2AR-546134     -5.628000     56.45650             40
-#> 4563  VR2AR-546134     -5.628000     56.45650             40
-#> 4564  VR2AR-546134     -5.628000     56.45650             40
-#> 4565  VR2AR-546136     -5.665000     56.48650            105
-#> 4566  VR2AR-546136     -5.665000     56.48650            105
-#> 4567  VR2AR-546136     -5.665000     56.48650            105
-#> 4568  VR2AR-546136     -5.665000     56.48650            105
-#> 4569  VR2AR-546136     -5.665000     56.48650            105
-#> 4570  VR2AR-546136     -5.665000     56.48650            105
-#> 4571  VR2AR-546136     -5.665000     56.48650            105
-#> 4572  VR2AR-546136     -5.665000     56.48650            105
-#> 4573  VR2AR-546136     -5.665000     56.48650            105
-#> 4574  VR2AR-546136     -5.665000     56.48650            105
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-#> 4591  VR2AR-546136     -5.665000     56.48650            105
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-#> 4594  VR2AR-546136     -5.665000     56.48650            105
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-#> 4661  VR2AR-546136     -5.665000     56.48650            105
-#> 4662  VR2AR-546136     -5.665000     56.48650            105
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-#> 4671  VR2AR-546136     -5.665000     56.48650            105
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-#> 4681  VR2AR-546136     -5.665000     56.48650            105
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-#> 4737   VR2W-113141     -5.755900     56.51000             50
-#> 4738   VR2W-113141     -5.755900     56.51000             50
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-#> 4854  VR2AR-546136     -5.665000     56.48650            105
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-#> 4960      VR2-6720     -5.627150     56.50808             50
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-#> 5092   VR2W-120722     -5.602283     56.37748             25
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-#> 5095   VR2W-113142     -5.634833     56.37502             50
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-#> 5105   VR2W-110825     -5.691617     56.35263             50
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-#> 5465   VR2W-108158     -5.619533     56.37413             25
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-#> 5473   VR2W-120722     -5.602283     56.37748             25
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-#> 5486   VR2W-108158     -5.619533     56.37413             25
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-#> 5554  VR2AR-546131     -5.612700     56.37988             35
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-#> 5586  VR2AR-546380     -5.637917     56.44800             25
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-#> 5603  VR2AR-546380     -5.637917     56.44800             25
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-#> 5731  VR2AR-546133     -5.701717     56.49747             90
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-#> 5736  VR2AR-546133     -5.701717     56.49747             90
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-#> 5738  VR2AR-546133     -5.701717     56.49747             90
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-#> 5742      VR2-5637     -5.692417     56.49913             25
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-#> 5761   VR2W-108161     -5.605383     56.46018             25
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-#> 5784  VR2AR-546131     -5.612700     56.37988             35
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-#> 5862  VR2AR-546136     -5.626250     56.44810             75
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-#> 5871  VR2AR-546136     -5.626250     56.44810             75
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-#> 5888  VR2AR-546131     -5.612700     56.37988             35
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-#> 6052  VR2AR-546380     -5.637917     56.44800             25
-#> 6053  VR2AR-546380     -5.637917     56.44800             25
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-#> 6057  VR2AR-546136     -5.626250     56.44810             75
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-#> 6066  VR2AR-546134     -5.643867     56.38278            145
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-#> 6068  VR2AR-546134     -5.643867     56.38278            145
-#> 6069  VR2AR-546134     -5.643867     56.38278            145
-#> 6070  VR2AR-546134     -5.643867     56.38278            145
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-#> 6092  VR2AR-546134     -5.643867     56.38278            145
-#> 6093  VR2AR-546134     -5.643867     56.38278            145
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-#> 6105  VR2AR-546131     -5.612700     56.37988             35
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-#> 6153      VR2-5637     -5.692417     56.49913             25
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-#> 6213  VR2AR-546380     -5.637917     56.44800             25
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-#> 6222  VR2AR-546133     -5.701717     56.49747             90
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-#> 6321  VR2AR-546136     -5.626250     56.44810             75
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-#> 6361   VR2W-108161     -5.605383     56.46018             25
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-#> 6375  VR2AR-546131     -5.612700     56.37988             35
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-#> 6455  VR2AR-546131     -5.612700     56.37988             35
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-#> 6491   VR2W-108158     -5.619533     56.37413             25
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-#> 6502   VR2W-108160     -5.631733     56.37447             50
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-#> 6566  VR2AR-546131     -5.612700     56.37988             35
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-#> 6638  VR2AR-546131     -5.612700     56.37988             35
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-#> 6728  VR2AR-546134     -5.643867     56.38278            145
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-#> 6744  VR2AR-546136     -5.626250     56.44810             75
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-#> 6746  VR2AR-546131     -5.612700     56.37988             35
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-#> 6904  VR2AR-546136     -5.626250     56.44810             75
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-#> 6909      VR2-6723     -5.586383     56.50332             50
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-#> 6939  VR2AR-546136     -5.626250     56.44810             75
-#> 6940  VR2AR-546136     -5.626250     56.44810             75
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-#> 6945  VR2AR-546131     -5.612700     56.37988             35
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-#> 6959  VR2AR-546131     -5.612700     56.37988             35
-#> 6960  VR2AR-546131     -5.612700     56.37988             35
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-#> 6963  VR2AR-546131     -5.612700     56.37988             35
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-#> 7000  VR2AR-546131     -5.612700     56.37988             35
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-#> 7069  VR2AR-546380     -5.637917     56.44800             25
-#> 7070  VR2AR-546380     -5.637917     56.44800             25
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-#> 7153      VR2-5637     -5.692417     56.49913             25
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-#> 7158      VR2-5637     -5.692417     56.49913             25
-#> 7159   VR2W-108161     -5.605383     56.46018             25
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-#> 7196  VR2AR-546131     -5.612700     56.37988             35
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-#> 7198  VR2AR-546131     -5.612700     56.37988             35
-#> 7199  VR2AR-546131     -5.612700     56.37988             35
-#> 7200  VR2AR-546131     -5.612700     56.37988             35
-#> 7201  VR2AR-546131     -5.612700     56.37988             35
-#> 7202  VR2AR-546131     -5.612700     56.37988             35
-#> 7203  VR2AR-546131     -5.612700     56.37988             35
-#> 7204  VR2AR-546131     -5.612700     56.37988             35
-#> 7205  VR2AR-546131     -5.612700     56.37988             35
-#> 7206  VR2AR-546131     -5.612700     56.37988             35
-#> 7207  VR2AR-546131     -5.612700     56.37988             35
-#> 7208  VR2AR-546131     -5.612700     56.37988             35
-#> 7209  VR2AR-546131     -5.612700     56.37988             35
-#> 7210  VR2AR-546131     -5.612700     56.37988             35
-#> 7211  VR2AR-546131     -5.612700     56.37988             35
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-#> 7213  VR2AR-546131     -5.612700     56.37988             35
-#> 7214  VR2AR-546131     -5.612700     56.37988             35
-#> 7215  VR2AR-546131     -5.612700     56.37988             35
-#> 7216  VR2AR-546131     -5.612700     56.37988             35
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-#> 7219  VR2AR-546131     -5.612700     56.37988             35
-#> 7220  VR2AR-546131     -5.612700     56.37988             35
-#> 7221  VR2AR-546131     -5.612700     56.37988             35
-#> 7222  VR2AR-546131     -5.612700     56.37988             35
-#> 7223  VR2AR-546131     -5.612700     56.37988             35
-#> 7224  VR2AR-546131     -5.612700     56.37988             35
-#> 7225  VR2AR-546131     -5.612700     56.37988             35
-#> 7226  VR2AR-546131     -5.612700     56.37988             35
-#> 7227  VR2AR-546131     -5.612700     56.37988             35
-#> 7228  VR2AR-546131     -5.612700     56.37988             35
-#> 7229  VR2AR-546131     -5.612700     56.37988             35
-#> 7230  VR2AR-546131     -5.612700     56.37988             35
-#> 7231  VR2AR-546131     -5.612700     56.37988             35
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-#> 7233  VR2AR-546131     -5.612700     56.37988             35
-#> 7234  VR2AR-546131     -5.612700     56.37988             35
-#> 7235  VR2AR-546131     -5.612700     56.37988             35
-#> 7236  VR2AR-546131     -5.612700     56.37988             35
-#> 7237  VR2AR-546131     -5.612700     56.37988             35
-#> 7238  VR2AR-546131     -5.612700     56.37988             35
-#> 7239  VR2AR-546131     -5.612700     56.37988             35
-#> 7240  VR2AR-546131     -5.612700     56.37988             35
-#> 7241  VR2AR-546131     -5.612700     56.37988             35
-#> 7242  VR2AR-546131     -5.612700     56.37988             35
-#> 7243  VR2AR-546131     -5.612700     56.37988             35
-#> 7244  VR2AR-546131     -5.612700     56.37988             35
-#> 7245  VR2AR-546131     -5.612700     56.37988             35
-#> 7246  VR2AR-546131     -5.612700     56.37988             35
-#> 7247  VR2AR-546131     -5.612700     56.37988             35
-#> 7248  VR2AR-546131     -5.612700     56.37988             35
-#> 7249  VR2AR-546131     -5.612700     56.37988             35
-#> 7250  VR2AR-546131     -5.612700     56.37988             35
-#> 7251  VR2AR-546131     -5.612700     56.37988             35
-#> 7252  VR2AR-546131     -5.612700     56.37988             35
-#> 7253  VR2AR-546131     -5.612700     56.37988             35
-#> 7254  VR2AR-546131     -5.612700     56.37988             35
-#> 7255  VR2AR-546131     -5.612700     56.37988             35
-#> 7256  VR2AR-546131     -5.612700     56.37988             35
-#> 7257  VR2AR-546131     -5.612700     56.37988             35
-#> 7258  VR2AR-546131     -5.612700     56.37988             35
-#> 7259  VR2AR-546131     -5.612700     56.37988             35
-#> 7260  VR2AR-546131     -5.612700     56.37988             35
-#> 7261  VR2AR-546131     -5.612700     56.37988             35
-#> 7262  VR2AR-546131     -5.612700     56.37988             35
-#> 7263  VR2AR-546131     -5.612700     56.37988             35
-#> 7264  VR2AR-546131     -5.612700     56.37988             35
-#> 7265  VR2AR-546131     -5.612700     56.37988             35
-#> 7266  VR2AR-546131     -5.612700     56.37988             35
-#> 7267  VR2AR-546131     -5.612700     56.37988             35
-#> 7268  VR2AR-546131     -5.612700     56.37988             35
-#> 7269  VR2AR-546131     -5.612700     56.37988             35
-#> 7270  VR2AR-546131     -5.612700     56.37988             35
-#> 7271  VR2AR-546131     -5.612700     56.37988             35
-#> 7272  VR2AR-546131     -5.612700     56.37988             35
-#> 7273  VR2AR-546131     -5.612700     56.37988             35
-#> 7274  VR2AR-546131     -5.612700     56.37988             35
-#> 7275  VR2AR-546131     -5.612700     56.37988             35
-#> 7276  VR2AR-546131     -5.612700     56.37988             35
-#> 7277  VR2AR-546133     -5.701717     56.49747             90
-#> 7278  VR2AR-546133     -5.701717     56.49747             90
-#> 7279  VR2AR-546133     -5.701717     56.49747             90
-#> 7280  VR2AR-546133     -5.701717     56.49747             90
-#> 7281  VR2AR-546133     -5.701717     56.49747             90
-#> 7282  VR2AR-546133     -5.701717     56.49747             90
-#> 7283  VR2AR-546133     -5.701717     56.49747             90
-#> 7284  VR2AR-546133     -5.701717     56.49747             90
-#> 7285  VR2AR-546133     -5.701717     56.49747             90
-#> 7286  VR2AR-546133     -5.701717     56.49747             90
-#> 7287  VR2AR-546133     -5.701717     56.49747             90
-#> 7288  VR2AR-546133     -5.701717     56.49747             90
-#> 7289  VR2AR-546133     -5.701717     56.49747             90
-#> 7290  VR2AR-546133     -5.701717     56.49747             90
-#> 7291  VR2AR-546133     -5.701717     56.49747             90
-#> 7292  VR2AR-546133     -5.701717     56.49747             90
-#> 7293  VR2AR-546133     -5.701717     56.49747             90
-#> 7294  VR2AR-546133     -5.701717     56.49747             90
-#> 7295  VR2AR-546133     -5.701717     56.49747             90
-#> 7296  VR2AR-546133     -5.701717     56.49747             90
-#> 7297      VR2-5637     -5.692417     56.49913             25
-#> 7298      VR2-5630     -5.591217     56.50710             50
-#> 7299      VR2-5630     -5.591217     56.50710             50
-#> 7300      VR2-5630     -5.591217     56.50710             50
-#> 7301      VR2-5630     -5.591217     56.50710             50
-#> 7302      VR2-5630     -5.591217     56.50710             50
-#> 7303      VR2-5630     -5.591217     56.50710             50
-#> 7304      VR2-5630     -5.591217     56.50710             50
-#> 7305      VR2-5630     -5.591217     56.50710             50
-#> 7306      VR2-5630     -5.591217     56.50710             50
-#> 7307      VR2-5630     -5.591217     56.50710             50
-#> 7308      VR2-5630     -5.591217     56.50710             50
-#> 7309      VR2-6723     -5.586383     56.50332             50
-#> 7310      VR2-6723     -5.586383     56.50332             50
-#> 7311      VR2-6723     -5.586383     56.50332             50
-#> 7312      VR2-6723     -5.586383     56.50332             50
-#> 7313      VR2-6723     -5.586383     56.50332             50
-#> 7314   VR2W-108163     -5.586717     56.49755             25
-#> 7315      VR2-6723     -5.586383     56.50332             50
-#> 7316   VR2W-108163     -5.586717     56.49755             25
-#> 7317   VR2W-108163     -5.586717     56.49755             25
-#> 7318      VR2-6723     -5.586383     56.50332             50
-#> 7319   VR2W-108163     -5.586717     56.49755             25
-#> 7320   VR2W-108163     -5.586717     56.49755             25
-#> 7321   VR2W-108161     -5.605383     56.46018             25
-#> 7322   VR2W-108161     -5.605383     56.46018             25
-#> 7323   VR2W-108161     -5.605383     56.46018             25
-#> 7324   VR2W-108161     -5.605383     56.46018             25
-#> 7325   VR2W-108161     -5.605383     56.46018             25
-#> 7326   VR2W-108161     -5.605383     56.46018             25
-#> 7327   VR2W-108161     -5.605383     56.46018             25
-#> 7328   VR2W-108161     -5.605383     56.46018             25
-#> 7329   VR2W-108161     -5.605383     56.46018             25
-#> 7330   VR2W-108161     -5.605383     56.46018             25
-#> 7331   VR2W-108161     -5.605383     56.46018             25
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-#> 7333   VR2W-108161     -5.605383     56.46018             25
-#> 7334   VR2W-108161     -5.605383     56.46018             25
-#> 7335   VR2W-108161     -5.605383     56.46018             25
-#> 7336   VR2W-108161     -5.605383     56.46018             25
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-#> 7339   VR2W-108161     -5.605383     56.46018             25
-#> 7340   VR2W-108161     -5.605383     56.46018             25
-#> 7341   VR2W-108161     -5.605383     56.46018             25
-#> 7342  VR2AR-546136     -5.626250     56.44810             75
-#> 7343  VR2AR-546136     -5.626250     56.44810             75
-#> 7344  VR2AR-546136     -5.626250     56.44810             75
-#> 7345  VR2AR-546131     -5.612700     56.37988             35
-#> 7346  VR2AR-546131     -5.612700     56.37988             35
-#> 7347  VR2AR-546131     -5.612700     56.37988             35
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-#> 7355  VR2AR-546131     -5.612700     56.37988             35
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-#> 7361  VR2AR-546131     -5.612700     56.37988             35
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-#> 7369  VR2AR-546131     -5.612700     56.37988             35
-#> 7370  VR2AR-546131     -5.612700     56.37988             35
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-#> 7373  VR2AR-546131     -5.612700     56.37988             35
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-#> 7385  VR2AR-546131     -5.612700     56.37988             35
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-#> 7392  VR2AR-546131     -5.612700     56.37988             35
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-#> 7427  VR2AR-546131     -5.612700     56.37988             35
-#> 7428  VR2AR-546131     -5.612700     56.37988             35
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-#> 7488  VR2AR-546131     -5.612700     56.37988             35
-#> 7489  VR2AR-546131     -5.612700     56.37988             35
-#> 7490  VR2AR-546131     -5.612700     56.37988             35
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-#> 7496  VR2AR-546131     -5.612700     56.37988             35
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-#> 7499  VR2AR-546131     -5.612700     56.37988             35
-#> 7500  VR2AR-546131     -5.612700     56.37988             35
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-#> 7502  VR2AR-546131     -5.612700     56.37988             35
-#> 7503  VR2AR-546131     -5.612700     56.37988             35
-#> 7504  VR2AR-546131     -5.612700     56.37988             35
-#> 7505  VR2AR-546131     -5.612700     56.37988             35
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-#> 7507  VR2AR-546131     -5.612700     56.37988             35
-#> 7508  VR2AR-546131     -5.612700     56.37988             35
-#> 7509  VR2AR-546131     -5.612700     56.37988             35
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-#> 7536  VR2AR-546131     -5.612700     56.37988             35
-#> 7537  VR2AR-546131     -5.612700     56.37988             35
-#> 7538  VR2AR-546131     -5.612700     56.37988             35
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-#> 7540  VR2AR-546131     -5.612700     56.37988             35
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-#> 7548  VR2AR-546380     -5.637917     56.44800             25
-#> 7549  VR2AR-546380     -5.637917     56.44800             25
-#> 7550  VR2AR-546380     -5.637917     56.44800             25
-#> 7551  VR2AR-546380     -5.637917     56.44800             25
-#> 7552  VR2AR-546380     -5.637917     56.44800             25
-#> 7553  VR2AR-546380     -5.637917     56.44800             25
-#> 7554  VR2AR-546380     -5.637917     56.44800             25
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-#> 7556  VR2AR-546380     -5.637917     56.44800             25
-#> 7557  VR2AR-546380     -5.637917     56.44800             25
-#> 7558  VR2AR-546380     -5.637917     56.44800             25
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-#> 7561  VR2AR-546380     -5.637917     56.44800             25
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-#> 7570  VR2AR-546380     -5.637917     56.44800             25
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-#> 7575  VR2AR-546133     -5.701717     56.49747             90
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-#> 7578   VR2W-108157     -5.710933     56.48492             10
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-#> 7605  VR2AR-546132     -5.710100     56.49120             25
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-#> 7783      VR2-5637     -5.692417     56.49913             25
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-#> 7785      VR2-5637     -5.692417     56.49913             25
-#> 7786      VR2-5637     -5.692417     56.49913             25
-#> 7787      VR2-5637     -5.692417     56.49913             25
-#> 7788      VR2-5637     -5.692417     56.49913             25
-#> 7789      VR2-5637     -5.692417     56.49913             25
-#> 7790      VR2-5637     -5.692417     56.49913             25
-#> 7791  VR2AR-546133     -5.701717     56.49747             90
-#> 7792  VR2AR-546133     -5.701717     56.49747             90
-#> 7793  VR2AR-546133     -5.701717     56.49747             90
-#> 7794  VR2AR-546133     -5.701717     56.49747             90
-#> 7795  VR2AR-546133     -5.701717     56.49747             90
-#> 7796  VR2AR-546133     -5.701717     56.49747             90
-#> 7797  VR2AR-546133     -5.701717     56.49747             90
-#> 7798  VR2AR-546133     -5.701717     56.49747             90
-#> 7799  VR2AR-546133     -5.701717     56.49747             90
-#> 7800  VR2AR-546133     -5.701717     56.49747             90
-#> 7801  VR2AR-546133     -5.701717     56.49747             90
-#> 7802  VR2AR-546133     -5.701717     56.49747             90
-#> 7803  VR2AR-546133     -5.701717     56.49747             90
-#> 7804  VR2AR-546133     -5.701717     56.49747             90
-#> 7805  VR2AR-546133     -5.701717     56.49747             90
-#> 7806  VR2AR-546133     -5.701717     56.49747             90
-#> 7807  VR2AR-546133     -5.701717     56.49747             90
-#> 7808  VR2AR-546133     -5.701717     56.49747             90
-#> 7809  VR2AR-546133     -5.701717     56.49747             90
-#> 7810  VR2AR-546133     -5.701717     56.49747             90
-#> 7811  VR2AR-546133     -5.701717     56.49747             90
-#> 7812  VR2AR-546133     -5.701717     56.49747             90
-#> 7813  VR2AR-546133     -5.701717     56.49747             90
-#> 7814  VR2AR-546133     -5.701717     56.49747             90
-#> 7815  VR2AR-546133     -5.701717     56.49747             90
-#> 7816  VR2AR-546133     -5.701717     56.49747             90
-#> 7817  VR2AR-546133     -5.701717     56.49747             90
-#> 7818  VR2AR-546133     -5.701717     56.49747             90
-#> 7819  VR2AR-546133     -5.701717     56.49747             90
-#> 7820  VR2AR-546133     -5.701717     56.49747             90
-#> 7821  VR2AR-546133     -5.701717     56.49747             90
-#> 7822  VR2AR-546133     -5.701717     56.49747             90
-#> 7823      VR2-5637     -5.692417     56.49913             25
-#> 7824      VR2-5637     -5.692417     56.49913             25
-#> 7825      VR2-5637     -5.692417     56.49913             25
-#> 7826      VR2-5637     -5.692417     56.49913             25
-#> 7827      VR2-5637     -5.692417     56.49913             25
-#> 7828      VR2-5630     -5.591217     56.50710             50
-#> 7829      VR2-5630     -5.591217     56.50710             50
-#> 7830      VR2-5630     -5.591217     56.50710             50
-#> 7831      VR2-5630     -5.591217     56.50710             50
-#> 7832      VR2-5630     -5.591217     56.50710             50
-#> 7833      VR2-5630     -5.591217     56.50710             50
-#> 7834      VR2-5630     -5.591217     56.50710             50
-#> 7835      VR2-5630     -5.591217     56.50710             50
-#> 7836      VR2-5630     -5.591217     56.50710             50
-#> 7837      VR2-5630     -5.591217     56.50710             50
-#> 7838      VR2-5630     -5.591217     56.50710             50
-#> 7839      VR2-5630     -5.591217     56.50710             50
-#> 7840      VR2-5630     -5.591217     56.50710             50
-#> 7841      VR2-5630     -5.591217     56.50710             50
-#> 7842      VR2-5630     -5.591217     56.50710             50
-#> 7843      VR2-5630     -5.591217     56.50710             50
-#> 7844      VR2-5630     -5.591217     56.50710             50
-#> 7845      VR2-5630     -5.591217     56.50710             50
-#> 7846      VR2-5630     -5.591217     56.50710             50
-#> 7847      VR2-5630     -5.591217     56.50710             50
-#> 7848      VR2-5630     -5.591217     56.50710             50
-#> 7849      VR2-5630     -5.591217     56.50710             50
-#> 7850      VR2-5630     -5.591217     56.50710             50
-#> 7851      VR2-5630     -5.591217     56.50710             50
-#> 7852      VR2-5630     -5.591217     56.50710             50
-#> 7853      VR2-6723     -5.586383     56.50332             50
-#> 7854      VR2-6723     -5.586383     56.50332             50
-#> 7855      VR2-6723     -5.586383     56.50332             50
-#> 7856      VR2-6723     -5.586383     56.50332             50
-#> 7857      VR2-6723     -5.586383     56.50332             50
-#> 7858      VR2-6723     -5.586383     56.50332             50
-#> 7859   VR2W-108163     -5.586717     56.49755             25
-#> 7860   VR2W-108163     -5.586717     56.49755             25
-#> 7861   VR2W-108163     -5.586717     56.49755             25
-#> 7862   VR2W-108163     -5.586717     56.49755             25
-#> 7863      VR2-6723     -5.586383     56.50332             50
-#> 7864   VR2W-108163     -5.586717     56.49755             25
-#> 7865   VR2W-108163     -5.586717     56.49755             25
-#> 7866      VR2-6723     -5.586383     56.50332             50
-#> 7867      VR2-6723     -5.586383     56.50332             50
-#> 7868      VR2-6723     -5.586383     56.50332             50
-#> 7869   VR2W-108163     -5.586717     56.49755             25
-#> 7870  VR2AR-546136     -5.626250     56.44810             75
-#> 7871  VR2AR-546136     -5.626250     56.44810             75
-#> 7872  VR2AR-546136     -5.626250     56.44810             75
-#> 7873  VR2AR-546136     -5.626250     56.44810             75
-#> 7874  VR2AR-546131     -5.612700     56.37988             35
-#> 7875  VR2AR-546131     -5.612700     56.37988             35
-#> 7876  VR2AR-546131     -5.612700     56.37988             35
-#> 7877  VR2AR-546131     -5.612700     56.37988             35
-#> 7878  VR2AR-546131     -5.612700     56.37988             35
-#> 7879  VR2AR-546131     -5.612700     56.37988             35
-#> 7880  VR2AR-546131     -5.612700     56.37988             35
-#> 7881  VR2AR-546131     -5.612700     56.37988             35
-#> 7882  VR2AR-546131     -5.612700     56.37988             35
-#> 7883  VR2AR-546131     -5.612700     56.37988             35
-#> 7884  VR2AR-546131     -5.612700     56.37988             35
-#> 7885  VR2AR-546131     -5.612700     56.37988             35
-#> 7886  VR2AR-546131     -5.612700     56.37988             35
-#> 7887  VR2AR-546131     -5.612700     56.37988             35
-#> 7888  VR2AR-546131     -5.612700     56.37988             35
-#> 7889  VR2AR-546131     -5.612700     56.37988             35
-#> 7890  VR2AR-546131     -5.612700     56.37988             35
-#> 7891  VR2AR-546131     -5.612700     56.37988             35
-#> 7892  VR2AR-546131     -5.612700     56.37988             35
-#> 7893  VR2AR-546131     -5.612700     56.37988             35
-#> 7894  VR2AR-546131     -5.612700     56.37988             35
-#> 7895  VR2AR-546131     -5.612700     56.37988             35
-#> 7896  VR2AR-546131     -5.612700     56.37988             35
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-#> 7899  VR2AR-546131     -5.612700     56.37988             35
-#> 7900  VR2AR-546131     -5.612700     56.37988             35
-#> 7901  VR2AR-546131     -5.612700     56.37988             35
-#> 7902  VR2AR-546131     -5.612700     56.37988             35
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-#> 7904  VR2AR-546131     -5.612700     56.37988             35
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-#> 7906  VR2AR-546131     -5.612700     56.37988             35
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-#> 7908  VR2AR-546131     -5.612700     56.37988             35
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-#> 7914  VR2AR-546131     -5.612700     56.37988             35
-#> 7915  VR2AR-546131     -5.612700     56.37988             35
-#> 7916  VR2AR-546131     -5.612700     56.37988             35
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-#> 7920  VR2AR-546131     -5.612700     56.37988             35
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-#> 7922  VR2AR-546131     -5.612700     56.37988             35
-#> 7923  VR2AR-546131     -5.612700     56.37988             35
-#> 7924  VR2AR-546131     -5.612700     56.37988             35
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-#> 7927  VR2AR-546131     -5.612700     56.37988             35
-#> 7928  VR2AR-546131     -5.612700     56.37988             35
-#> 7929  VR2AR-546131     -5.612700     56.37988             35
-#> 7930  VR2AR-546131     -5.612700     56.37988             35
-#> 7931  VR2AR-546131     -5.612700     56.37988             35
-#> 7932  VR2AR-546131     -5.612700     56.37988             35
-#> 7933  VR2AR-546131     -5.612700     56.37988             35
-#> 7934  VR2AR-546131     -5.612700     56.37988             35
-#> 7935  VR2AR-546131     -5.612700     56.37988             35
-#> 7936  VR2AR-546131     -5.612700     56.37988             35
-#> 7937  VR2AR-546131     -5.612700     56.37988             35
-#> 7938  VR2AR-546131     -5.612700     56.37988             35
-#> 7939  VR2AR-546131     -5.612700     56.37988             35
-#> 7940  VR2AR-546131     -5.612700     56.37988             35
-#> 7941  VR2AR-546131     -5.612700     56.37988             35
-#> 7942  VR2AR-546131     -5.612700     56.37988             35
-#> 7943  VR2AR-546131     -5.612700     56.37988             35
-#> 7944  VR2AR-546131     -5.612700     56.37988             35
-#> 7945  VR2AR-546131     -5.612700     56.37988             35
-#> 7946  VR2AR-546131     -5.612700     56.37988             35
-#> 7947  VR2AR-546131     -5.612700     56.37988             35
-#> 7948  VR2AR-546131     -5.612700     56.37988             35
-#> 7949  VR2AR-546131     -5.612700     56.37988             35
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-#> 7951  VR2AR-546131     -5.612700     56.37988             35
-#> 7952  VR2AR-546131     -5.612700     56.37988             35
-#> 7953  VR2AR-546131     -5.612700     56.37988             35
-#> 7954  VR2AR-546131     -5.612700     56.37988             35
-#> 7955  VR2AR-546131     -5.612700     56.37988             35
-#> 7956  VR2AR-546131     -5.612700     56.37988             35
-#> 7957  VR2AR-546131     -5.612700     56.37988             35
-#> 7958  VR2AR-546131     -5.612700     56.37988             35
-#> 7959  VR2AR-546131     -5.612700     56.37988             35
-#> 7960  VR2AR-546131     -5.612700     56.37988             35
-#> 7961  VR2AR-546131     -5.612700     56.37988             35
-#> 7962  VR2AR-546131     -5.612700     56.37988             35
-#> 7963  VR2AR-546131     -5.612700     56.37988             35
-#> 7964  VR2AR-546131     -5.612700     56.37988             35
-#> 7965  VR2AR-546131     -5.612700     56.37988             35
-#> 7966  VR2AR-546131     -5.612700     56.37988             35
-#> 7967  VR2AR-546131     -5.612700     56.37988             35
-#> 7968  VR2AR-546131     -5.612700     56.37988             35
-#> 7969  VR2AR-546131     -5.612700     56.37988             35
-#> 7970  VR2AR-546131     -5.612700     56.37988             35
-#> 7971  VR2AR-546131     -5.612700     56.37988             35
-#> 7972  VR2AR-546136     -5.626250     56.44810             75
-#> 7973  VR2AR-546380     -5.637917     56.44800             25
-#> 7974  VR2AR-546380     -5.637917     56.44800             25
-#> 7975  VR2AR-546380     -5.637917     56.44800             25
-#> 7976  VR2AR-546380     -5.637917     56.44800             25
-#> 7977  VR2AR-546380     -5.637917     56.44800             25
-#> 7978  VR2AR-546380     -5.637917     56.44800             25
-#> 7979  VR2AR-546136     -5.626250     56.44810             75
-#> 7980  VR2AR-546380     -5.637917     56.44800             25
-#> 7981  VR2AR-546380     -5.637917     56.44800             25
-#> 7982  VR2AR-546380     -5.637917     56.44800             25
-#> 7983  VR2AR-546380     -5.637917     56.44800             25
-#> 7984  VR2AR-546136     -5.626250     56.44810             75
-#> 7985  VR2AR-546380     -5.637917     56.44800             25
-#> 7986  VR2AR-546380     -5.637917     56.44800             25
-#> 7987  VR2AR-546380     -5.637917     56.44800             25
-#> 7988  VR2AR-546136     -5.626250     56.44810             75
-#> 7989  VR2AR-546136     -5.626250     56.44810             75
-#> 7990  VR2AR-546380     -5.637917     56.44800             25
-#> 7991  VR2AR-546136     -5.626250     56.44810             75
-#> 7992  VR2AR-546136     -5.626250     56.44810             75
-#> 7993  VR2AR-546136     -5.626250     56.44810             75
-#> 7994  VR2AR-546131     -5.612700     56.37988             35
-#> 7995  VR2AR-546131     -5.612700     56.37988             35
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-#> 7999  VR2AR-546131     -5.612700     56.37988             35
-#> 8000  VR2AR-546131     -5.612700     56.37988             35
-#> 8001  VR2AR-546131     -5.612700     56.37988             35
-#> 8002  VR2AR-546131     -5.612700     56.37988             35
-#> 8003  VR2AR-546131     -5.612700     56.37988             35
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-#> 8006  VR2AR-546131     -5.612700     56.37988             35
-#> 8007  VR2AR-546131     -5.612700     56.37988             35
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-#> 8010  VR2AR-546131     -5.612700     56.37988             35
-#> 8011  VR2AR-546131     -5.612700     56.37988             35
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-#> 8076  VR2AR-546131     -5.612700     56.37988             35
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-#> 8091  VR2AR-546131     -5.612700     56.37988             35
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-#> 8099  VR2AR-546131     -5.612700     56.37988             35
-#> 8100  VR2AR-546131     -5.612700     56.37988             35
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-#> 8107  VR2AR-546131     -5.612700     56.37988             35
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-#> 8120  VR2AR-546131     -5.612700     56.37988             35
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-#> 8128  VR2AR-546131     -5.612700     56.37988             35
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-#> 8137  VR2AR-546131     -5.612700     56.37988             35
-#> 8138  VR2AR-546131     -5.612700     56.37988             35
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-#> 8164  VR2AR-546131     -5.612700     56.37988             35
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-#> 8177  VR2AR-546131     -5.612700     56.37988             35
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-#> 8199  VR2AR-546134     -5.643867     56.38278            145
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-#> 8206  VR2AR-546134     -5.643867     56.38278            145
-#> 8207  VR2AR-546135     -5.657067     56.38803             85
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-#> 8228  VR2AR-546380     -5.637917     56.44800             25
-#> 8229  VR2AR-546380     -5.637917     56.44800             25
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-#> 8234  VR2AR-546380     -5.637917     56.44800             25
-#> 8235      VR2-5637     -5.692417     56.49913             25
-#> 8236      VR2-5637     -5.692417     56.49913             25
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-#> 8238      VR2-5637     -5.692417     56.49913             25
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-#> 8245  VR2AR-546380     -5.637917     56.44800             25
-#> 8246  VR2AR-546380     -5.637917     56.44800             25
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-#> 8259  VR2AR-546134     -5.643867     56.38278            145
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-#> 8294  VR2AR-546135     -5.657067     56.38803             85
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-#> 8351   VR2W-108160     -5.631733     56.37447             50
-#> 8352  VR2AR-546131     -5.612700     56.37988             35
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-#> 8366  VR2AR-546131     -5.612700     56.37988             35
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-#> 8374  VR2AR-546131     -5.612700     56.37988             35
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-#> 8377  VR2AR-546131     -5.612700     56.37988             35
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-#> 8381  VR2AR-546131     -5.612700     56.37988             35
-#> 8382  VR2AR-546131     -5.612700     56.37988             35
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-#> 8389  VR2AR-546131     -5.612700     56.37988             35
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-#> 8392  VR2AR-546131     -5.612700     56.37988             35
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-#> 8440  VR2AR-546131     -5.612700     56.37988             35
-#> 8441  VR2AR-546131     -5.612700     56.37988             35
-#> 8442  VR2AR-546131     -5.612700     56.37988             35
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-#> 8447  VR2AR-546131     -5.612700     56.37988             35
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-#> 8450  VR2AR-546131     -5.612700     56.37988             35
-#> 8451  VR2AR-546131     -5.612700     56.37988             35
-#> 8452  VR2AR-546131     -5.612700     56.37988             35
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-#> 8460  VR2AR-546131     -5.612700     56.37988             35
-#> 8461  VR2AR-546131     -5.612700     56.37988             35
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-#> 8471  VR2AR-546131     -5.612700     56.37988             35
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-#> 8593  VR2AR-546136     -5.626250     56.44810             75
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-#> 8616  VR2AR-546133     -5.701717     56.49747             90
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-#> 8658  VR2AR-546133     -5.701717     56.49747             90
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-#> 8660  VR2AR-546133     -5.701717     56.49747             90
-#> 8661  VR2AR-546133     -5.701717     56.49747             90
-#> 8662  VR2AR-546133     -5.701717     56.49747             90
-#> 8663  VR2AR-546133     -5.701717     56.49747             90
-#> 8664  VR2AR-546133     -5.701717     56.49747             90
-#> 8665  VR2AR-546133     -5.701717     56.49747             90
-#> 8666  VR2AR-546133     -5.701717     56.49747             90
-#> 8667  VR2AR-546133     -5.701717     56.49747             90
-#> 8668  VR2AR-546133     -5.701717     56.49747             90
-#> 8669  VR2AR-546133     -5.701717     56.49747             90
-#> 8670  VR2AR-546133     -5.701717     56.49747             90
-#> 8671  VR2AR-546133     -5.701717     56.49747             90
-#> 8672  VR2AR-546133     -5.701717     56.49747             90
-#> 8673  VR2AR-546133     -5.701717     56.49747             90
-#> 8674  VR2AR-546133     -5.701717     56.49747             90
-#> 8675  VR2AR-546133     -5.701717     56.49747             90
-#> 8676  VR2AR-546133     -5.701717     56.49747             90
-#> 8677  VR2AR-546133     -5.701717     56.49747             90
-#> 8678  VR2AR-546133     -5.701717     56.49747             90
-#> 8679  VR2AR-546133     -5.701717     56.49747             90
-#> 8680  VR2AR-546133     -5.701717     56.49747             90
-#> 8681  VR2AR-546133     -5.701717     56.49747             90
-#> 8682  VR2AR-546133     -5.701717     56.49747             90
-#> 8683  VR2AR-546133     -5.701717     56.49747             90
-#> 8684  VR2AR-546133     -5.701717     56.49747             90
-#> 8685  VR2AR-546133     -5.701717     56.49747             90
-#> 8686  VR2AR-546133     -5.701717     56.49747             90
-#> 8687  VR2AR-546133     -5.701717     56.49747             90
-#> 8688  VR2AR-546133     -5.701717     56.49747             90
-#> 8689  VR2AR-546133     -5.701717     56.49747             90
-#> 8690  VR2AR-546133     -5.701717     56.49747             90
-#> 8691  VR2AR-546133     -5.701717     56.49747             90
-#> 8692  VR2AR-546133     -5.701717     56.49747             90
-#> 8693  VR2AR-546136     -5.626250     56.44810             75
-#> 8694  VR2AR-546136     -5.626250     56.44810             75
-#> 8695  VR2AR-546380     -5.637917     56.44800             25
-#> 8696  VR2AR-546136     -5.626250     56.44810             75
-#> 8697  VR2AR-546380     -5.637917     56.44800             25
-#> 8698  VR2AR-546380     -5.637917     56.44800             25
-#> 8699  VR2AR-546136     -5.626250     56.44810             75
-#> 8700  VR2AR-546380     -5.637917     56.44800             25
-#> 8701  VR2AR-546380     -5.637917     56.44800             25
-#> 8702  VR2AR-546380     -5.637917     56.44800             25
-#> 8703  VR2AR-546380     -5.637917     56.44800             25
-#> 8704  VR2AR-546380     -5.637917     56.44800             25
-#> 8705  VR2AR-546380     -5.637917     56.44800             25
-#> 8706  VR2AR-546380     -5.637917     56.44800             25
-#> 8707  VR2AR-546380     -5.637917     56.44800             25
-#> 8708  VR2AR-546380     -5.637917     56.44800             25
-#> 8709  VR2AR-546380     -5.637917     56.44800             25
-#> 8710  VR2AR-546380     -5.637917     56.44800             25
-#> 8711  VR2AR-546380     -5.637917     56.44800             25
-#> 8712  VR2AR-546380     -5.637917     56.44800             25
-#> 8713  VR2AR-546380     -5.637917     56.44800             25
-#> 8714  VR2AR-546380     -5.637917     56.44800             25
-#> 8715  VR2AR-546380     -5.637917     56.44800             25
-#> 8716  VR2AR-546380     -5.637917     56.44800             25
-#> 8717  VR2AR-546380     -5.637917     56.44800             25
-#> 8718  VR2AR-546380     -5.637917     56.44800             25
-#> 8719  VR2AR-546380     -5.637917     56.44800             25
-#> 8720  VR2AR-546380     -5.637917     56.44800             25
-#> 8721  VR2AR-546380     -5.637917     56.44800             25
-#> 8722  VR2AR-546380     -5.637917     56.44800             25
-#> 8723  VR2AR-546380     -5.637917     56.44800             25
-#> 8724  VR2AR-546380     -5.637917     56.44800             25
-#> 8725  VR2AR-546380     -5.637917     56.44800             25
-#> 8726  VR2AR-546380     -5.637917     56.44800             25
-#> 8727  VR2AR-546380     -5.637917     56.44800             25
-#> 8728  VR2AR-546380     -5.637917     56.44800             25
-#> 8729  VR2AR-546380     -5.637917     56.44800             25
-#> 8730  VR2AR-546380     -5.637917     56.44800             25
-#> 8731  VR2AR-546131     -5.612700     56.37988             35
-#> 8732  VR2AR-546131     -5.612700     56.37988             35
-#> 8733  VR2AR-546131     -5.612700     56.37988             35
-#> 8734  VR2AR-546131     -5.612700     56.37988             35
-#> 8735  VR2AR-546131     -5.612700     56.37988             35
-#> 8736  VR2AR-546131     -5.612700     56.37988             35
-#> 8737  VR2AR-546131     -5.612700     56.37988             35
-#> 8738  VR2AR-546131     -5.612700     56.37988             35
-#> 8739  VR2AR-546131     -5.612700     56.37988             35
-#> 8740  VR2AR-546131     -5.612700     56.37988             35
-#> 8741  VR2AR-546131     -5.612700     56.37988             35
-#> 8742  VR2AR-546131     -5.612700     56.37988             35
-#> 8743  VR2AR-546131     -5.612700     56.37988             35
-#> 8744  VR2AR-546131     -5.612700     56.37988             35
-#> 8745  VR2AR-546131     -5.612700     56.37988             35
-#> 8746  VR2AR-546131     -5.612700     56.37988             35
-#> 8747  VR2AR-546131     -5.612700     56.37988             35
-#> 8748  VR2AR-546131     -5.612700     56.37988             35
-#> 8749  VR2AR-546131     -5.612700     56.37988             35
-#> 8750  VR2AR-546131     -5.612700     56.37988             35
-#> 8751  VR2AR-546131     -5.612700     56.37988             35
-#> 8752  VR2AR-546131     -5.612700     56.37988             35
-#> 8753  VR2AR-546131     -5.612700     56.37988             35
-#> 8754  VR2AR-546131     -5.612700     56.37988             35
-#> 8755  VR2AR-546131     -5.612700     56.37988             35
-#> 8756  VR2AR-546131     -5.612700     56.37988             35
-#> 8757  VR2AR-546131     -5.612700     56.37988             35
-#> 8758  VR2AR-546131     -5.612700     56.37988             35
-#> 8759  VR2AR-546131     -5.612700     56.37988             35
-#> 8760  VR2AR-546131     -5.612700     56.37988             35
-#> 8761  VR2AR-546131     -5.612700     56.37988             35
-#> 8762  VR2AR-546131     -5.612700     56.37988             35
-#> 8763  VR2AR-546131     -5.612700     56.37988             35
-#> 8764  VR2AR-546131     -5.612700     56.37988             35
-#> 8765  VR2AR-546131     -5.612700     56.37988             35
-#> 8766  VR2AR-546131     -5.612700     56.37988             35
-#> 8767  VR2AR-546131     -5.612700     56.37988             35
-#> 8768  VR2AR-546131     -5.612700     56.37988             35
-#> 8769  VR2AR-546131     -5.612700     56.37988             35
-#> 8770  VR2AR-546131     -5.612700     56.37988             35
-#> 8771  VR2AR-546131     -5.612700     56.37988             35
-#> 8772  VR2AR-546131     -5.612700     56.37988             35
-#> 8773  VR2AR-546131     -5.612700     56.37988             35
-#> 8774  VR2AR-546131     -5.612700     56.37988             35
-#> 8775  VR2AR-546131     -5.612700     56.37988             35
-#> 8776  VR2AR-546131     -5.612700     56.37988             35
-#> 8777  VR2AR-546131     -5.612700     56.37988             35
-#> 8778  VR2AR-546131     -5.612700     56.37988             35
-#> 8779  VR2AR-546131     -5.612700     56.37988             35
-#> 8780  VR2AR-546131     -5.612700     56.37988             35
-#> 8781  VR2AR-546131     -5.612700     56.37988             35
-#> 8782  VR2AR-546131     -5.612700     56.37988             35
-#> 8783  VR2AR-546131     -5.612700     56.37988             35
-#> 8784  VR2AR-546131     -5.612700     56.37988             35
-#> 8785  VR2AR-546131     -5.612700     56.37988             35
-#> 8786  VR2AR-546131     -5.612700     56.37988             35
-#> 8787  VR2AR-546131     -5.612700     56.37988             35
-#> 8788  VR2AR-546131     -5.612700     56.37988             35
-#> 8789  VR2AR-546131     -5.612700     56.37988             35
-#> 8790  VR2AR-546131     -5.612700     56.37988             35
-#> 8791  VR2AR-546131     -5.612700     56.37988             35
-#> 8792  VR2AR-546131     -5.612700     56.37988             35
-#> 8793  VR2AR-546131     -5.612700     56.37988             35
-#> 8794  VR2AR-546131     -5.612700     56.37988             35
-#> 8795  VR2AR-546131     -5.612700     56.37988             35
-#> 8796  VR2AR-546131     -5.612700     56.37988             35
-#> 8797  VR2AR-546131     -5.612700     56.37988             35
-#> 8798  VR2AR-546131     -5.612700     56.37988             35
-#> 8799  VR2AR-546131     -5.612700     56.37988             35
-#> 8800  VR2AR-546131     -5.612700     56.37988             35
-#> 8801  VR2AR-546131     -5.612700     56.37988             35
-#> 8802  VR2AR-546131     -5.612700     56.37988             35
-#> 8803  VR2AR-546131     -5.612700     56.37988             35
-#> 8804  VR2AR-546131     -5.612700     56.37988             35
-#> 8805  VR2AR-546131     -5.612700     56.37988             35
-#> 8806  VR2AR-546131     -5.612700     56.37988             35
-#> 8807  VR2AR-546131     -5.612700     56.37988             35
-#> 8808  VR2AR-546131     -5.612700     56.37988             35
-#> 8809  VR2AR-546131     -5.612700     56.37988             35
-#> 8810  VR2AR-546131     -5.612700     56.37988             35
-#> 8811  VR2AR-546131     -5.612700     56.37988             35
-#> 8812  VR2AR-546131     -5.612700     56.37988             35
-#> 8813  VR2AR-546131     -5.612700     56.37988             35
-#> 8814  VR2AR-546131     -5.612700     56.37988             35
-#> 8815  VR2AR-546131     -5.612700     56.37988             35
-#> 8816  VR2AR-546131     -5.612700     56.37988             35
-#> 8817  VR2AR-546131     -5.612700     56.37988             35
-#> 8818  VR2AR-546131     -5.612700     56.37988             35
-#> 8819  VR2AR-546131     -5.612700     56.37988             35
-#> 8820  VR2AR-546131     -5.612700     56.37988             35
-#> 8821  VR2AR-546131     -5.612700     56.37988             35
-#> 8822  VR2AR-546131     -5.612700     56.37988             35
-#> 8823  VR2AR-546131     -5.612700     56.37988             35
-#> 8824  VR2AR-546131     -5.612700     56.37988             35
-#> 8825  VR2AR-546131     -5.612700     56.37988             35
-#> 8826  VR2AR-546131     -5.612700     56.37988             35
-#> 8827  VR2AR-546131     -5.612700     56.37988             35
-#> 8828  VR2AR-546131     -5.612700     56.37988             35
-#> 8829  VR2AR-546131     -5.612700     56.37988             35
-#> 8830  VR2AR-546131     -5.612700     56.37988             35
-#> 8831  VR2AR-546131     -5.612700     56.37988             35
-#> 8832  VR2AR-546131     -5.612700     56.37988             35
-#> 8833  VR2AR-546131     -5.612700     56.37988             35
-#> 8834  VR2AR-546131     -5.612700     56.37988             35
-#> 8835  VR2AR-546131     -5.612700     56.37988             35
-#> 8836  VR2AR-546131     -5.612700     56.37988             35
-#> 8837  VR2AR-546131     -5.612700     56.37988             35
-#> 8838  VR2AR-546131     -5.612700     56.37988             35
-#> 8839  VR2AR-546131     -5.612700     56.37988             35
-#> 8840  VR2AR-546131     -5.612700     56.37988             35
-#> 8841  VR2AR-546131     -5.612700     56.37988             35
-#> 8842  VR2AR-546131     -5.612700     56.37988             35
-#> 8843  VR2AR-546131     -5.612700     56.37988             35
-#> 8844  VR2AR-546131     -5.612700     56.37988             35
-#> 8845  VR2AR-546131     -5.612700     56.37988             35
-#> 8846  VR2AR-546131     -5.612700     56.37988             35
-#> 8847  VR2AR-546131     -5.612700     56.37988             35
-#> 8848  VR2AR-546131     -5.612700     56.37988             35
-#> 8849  VR2AR-546131     -5.612700     56.37988             35
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-#> 8851  VR2AR-546131     -5.612700     56.37988             35
-#> 8852  VR2AR-546131     -5.612700     56.37988             35
-#> 8853  VR2AR-546131     -5.612700     56.37988             35
-#> 8854  VR2AR-546131     -5.612700     56.37988             35
-#> 8855  VR2AR-546131     -5.612700     56.37988             35
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-#> 8861  VR2AR-546131     -5.612700     56.37988             35
-#> 8862  VR2AR-546131     -5.612700     56.37988             35
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-#> 8864  VR2AR-546131     -5.612700     56.37988             35
-#> 8865  VR2AR-546131     -5.612700     56.37988             35
-#> 8866  VR2AR-546131     -5.612700     56.37988             35
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-#> 8870  VR2AR-546131     -5.612700     56.37988             35
-#> 8871  VR2AR-546131     -5.612700     56.37988             35
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-#> 8876  VR2AR-546131     -5.612700     56.37988             35
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-#> 8878  VR2AR-546131     -5.612700     56.37988             35
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-#> 8880  VR2AR-546131     -5.612700     56.37988             35
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-#> 8948  VR2AR-546131     -5.612700     56.37988             35
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-#> 8984  VR2AR-546134     -5.643867     56.38278            145
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-#> 9039  VR2AR-546131     -5.612700     56.37988             35
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-#> 9369  VR2AR-546380     -5.637917     56.44800             25
-#> 9370  VR2AR-546380     -5.637917     56.44800             25
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-#> 9377  VR2AR-546136     -5.626250     56.44810             75
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-#> 9531  VR2AR-546131     -5.612700     56.37988             35
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-#> 9533  VR2AR-546131     -5.612700     56.37988             35
-#> 9534  VR2AR-546131     -5.612700     56.37988             35
-#> 9535  VR2AR-546131     -5.612700     56.37988             35
-#> 9536  VR2AR-546131     -5.612700     56.37988             35
-#> 9537  VR2AR-546131     -5.612700     56.37988             35
-#> 9538  VR2AR-546131     -5.612700     56.37988             35
-#> 9539  VR2AR-546131     -5.612700     56.37988             35
-#> 9540  VR2AR-546131     -5.612700     56.37988             35
-#> 9541  VR2AR-546131     -5.612700     56.37988             35
-#> 9542  VR2AR-546131     -5.612700     56.37988             35
-#> 9543  VR2AR-546131     -5.612700     56.37988             35
-#> 9544  VR2AR-546131     -5.612700     56.37988             35
-#> 9545  VR2AR-546131     -5.612700     56.37988             35
-#> 9546  VR2AR-546131     -5.612700     56.37988             35
-#> 9547  VR2AR-546131     -5.612700     56.37988             35
-#> 9548  VR2AR-546131     -5.612700     56.37988             35
-#> 9549  VR2AR-546131     -5.612700     56.37988             35
-#> 9550  VR2AR-546131     -5.612700     56.37988             35
-#> 9551  VR2AR-546131     -5.612700     56.37988             35
-#> 9552  VR2AR-546131     -5.612700     56.37988             35
-#> 9553  VR2AR-546131     -5.612700     56.37988             35
-#> 9554  VR2AR-546131     -5.612700     56.37988             35
-#> 9555  VR2AR-546131     -5.612700     56.37988             35
-#> 9556  VR2AR-546131     -5.612700     56.37988             35
-#> 9557  VR2AR-546131     -5.612700     56.37988             35
-#> 9558  VR2AR-546131     -5.612700     56.37988             35
-#> 9559  VR2AR-546131     -5.612700     56.37988             35
-#> 9560  VR2AR-546131     -5.612700     56.37988             35
-#> 9561  VR2AR-546131     -5.612700     56.37988             35
-#> 9562  VR2AR-546131     -5.612700     56.37988             35
-#> 9563  VR2AR-546131     -5.612700     56.37988             35
-#> 9564  VR2AR-546131     -5.612700     56.37988             35
-#> 9565  VR2AR-546131     -5.612700     56.37988             35
-#> 9566  VR2AR-546131     -5.612700     56.37988             35
-#> 9567  VR2AR-546131     -5.612700     56.37988             35
-#> 9568  VR2AR-546131     -5.612700     56.37988             35
-#> 9569  VR2AR-546131     -5.612700     56.37988             35
-#> 9570  VR2AR-546131     -5.612700     56.37988             35
-#> 9571  VR2AR-546131     -5.612700     56.37988             35
-#> 9572  VR2AR-546131     -5.612700     56.37988             35
-#> 9573  VR2AR-546131     -5.612700     56.37988             35
-#> 9574  VR2AR-546131     -5.612700     56.37988             35
-#> 9575  VR2AR-546131     -5.612700     56.37988             35
-#> 9576  VR2AR-546131     -5.612700     56.37988             35
-#> 9577  VR2AR-546131     -5.612700     56.37988             35
-#> 9578  VR2AR-546131     -5.612700     56.37988             35
-#> 9579  VR2AR-546131     -5.612700     56.37988             35
-#> 9580  VR2AR-546131     -5.612700     56.37988             35
-#> 9581  VR2AR-546131     -5.612700     56.37988             35
-#> 9582  VR2AR-546131     -5.612700     56.37988             35
-#> 9583  VR2AR-546131     -5.612700     56.37988             35
-#> 9584  VR2AR-546131     -5.612700     56.37988             35
-#> 9585  VR2AR-546131     -5.612700     56.37988             35
-#> 9586  VR2AR-546131     -5.612700     56.37988             35
-#> 9587  VR2AR-546131     -5.612700     56.37988             35
-#> 9588  VR2AR-546131     -5.612700     56.37988             35
-#> 9589  VR2AR-546131     -5.612700     56.37988             35
-#> 9590  VR2AR-546131     -5.612700     56.37988             35
-#> 9591  VR2AR-546131     -5.612700     56.37988             35
-#> 9592  VR2AR-546131     -5.612700     56.37988             35
-#> 9593  VR2AR-546131     -5.612700     56.37988             35
-#> 9594  VR2AR-546131     -5.612700     56.37988             35
-#> 9595  VR2AR-546131     -5.612700     56.37988             35
-#> 9596  VR2AR-546131     -5.612700     56.37988             35
-#> 9597  VR2AR-546131     -5.612700     56.37988             35
-#> 9598  VR2AR-546131     -5.612700     56.37988             35
-#> 9599  VR2AR-546131     -5.612700     56.37988             35
-#> 9600  VR2AR-546131     -5.612700     56.37988             35
-#> 9601  VR2AR-546131     -5.612700     56.37988             35
-#> 9602  VR2AR-546131     -5.612700     56.37988             35
-#> 9603  VR2AR-546131     -5.612700     56.37988             35
-#> 9604  VR2AR-546131     -5.612700     56.37988             35
-#> 9605  VR2AR-546131     -5.612700     56.37988             35
-#> 9606  VR2AR-546131     -5.612700     56.37988             35
-#> 9607  VR2AR-546131     -5.612700     56.37988             35
-#> 9608  VR2AR-546131     -5.612700     56.37988             35
-#> 9609  VR2AR-546131     -5.612700     56.37988             35
-#> 9610  VR2AR-546131     -5.612700     56.37988             35
-#> 9611  VR2AR-546131     -5.612700     56.37988             35
-#> 9612  VR2AR-546131     -5.612700     56.37988             35
-#> 9613  VR2AR-546131     -5.612700     56.37988             35
-#> 9614  VR2AR-546131     -5.612700     56.37988             35
-#> 9615  VR2AR-546131     -5.612700     56.37988             35
-#> 9616  VR2AR-546131     -5.612700     56.37988             35
-#> 9617  VR2AR-546131     -5.612700     56.37988             35
-#> 9618  VR2AR-546131     -5.612700     56.37988             35
-#> 9619  VR2AR-546131     -5.612700     56.37988             35
-#> 9620  VR2AR-546131     -5.612700     56.37988             35
-#> 9621  VR2AR-546131     -5.612700     56.37988             35
-#> 9622  VR2AR-546131     -5.612700     56.37988             35
-#> 9623  VR2AR-546131     -5.612700     56.37988             35
-#> 9624  VR2AR-546131     -5.612700     56.37988             35
-#> 9625  VR2AR-546131     -5.612700     56.37988             35
-#> 9626  VR2AR-546131     -5.612700     56.37988             35
-#> 9627  VR2AR-546131     -5.612700     56.37988             35
-#> 9628  VR2AR-546131     -5.612700     56.37988             35
-#> 9629  VR2AR-546131     -5.612700     56.37988             35
-#> 9630  VR2AR-546131     -5.612700     56.37988             35
-#> 9631  VR2AR-546131     -5.612700     56.37988             35
-#> 9632  VR2AR-546131     -5.612700     56.37988             35
-#> 9633  VR2AR-546131     -5.612700     56.37988             35
-#> 9634  VR2AR-546131     -5.612700     56.37988             35
-#> 9635  VR2AR-546131     -5.612700     56.37988             35
-#> 9636  VR2AR-546131     -5.612700     56.37988             35
-#> 9637  VR2AR-546131     -5.612700     56.37988             35
-#> 9638  VR2AR-546131     -5.612700     56.37988             35
-#> 9639  VR2AR-546131     -5.612700     56.37988             35
-#> 9640  VR2AR-546131     -5.612700     56.37988             35
-#> 9641  VR2AR-546131     -5.612700     56.37988             35
-#> 9642  VR2AR-546131     -5.612700     56.37988             35
-#> 9643  VR2AR-546131     -5.612700     56.37988             35
-#> 9644  VR2AR-546131     -5.612700     56.37988             35
-#> 9645  VR2AR-546131     -5.612700     56.37988             35
-#> 9646  VR2AR-546131     -5.612700     56.37988             35
-#> 9647  VR2AR-546131     -5.612700     56.37988             35
-#> 9648  VR2AR-546131     -5.612700     56.37988             35
-#> 9649  VR2AR-546131     -5.612700     56.37988             35
-#> 9650  VR2AR-546131     -5.612700     56.37988             35
-#> 9651  VR2AR-546131     -5.612700     56.37988             35
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-#> 9653  VR2AR-546131     -5.612700     56.37988             35
-#> 9654  VR2AR-546131     -5.612700     56.37988             35
-#> 9655  VR2AR-546131     -5.612700     56.37988             35
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-#> 9659  VR2AR-546131     -5.612700     56.37988             35
-#> 9660  VR2AR-546131     -5.612700     56.37988             35
-#> 9661  VR2AR-546131     -5.612700     56.37988             35
-#> 9662  VR2AR-546131     -5.612700     56.37988             35
-#> 9663  VR2AR-546131     -5.612700     56.37988             35
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-#> 9666  VR2AR-546131     -5.612700     56.37988             35
-#> 9667  VR2AR-546131     -5.612700     56.37988             35
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-#> 9669  VR2AR-546131     -5.612700     56.37988             35
-#> 9670  VR2AR-546131     -5.612700     56.37988             35
-#> 9671  VR2AR-546131     -5.612700     56.37988             35
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-#> 9673  VR2AR-546131     -5.612700     56.37988             35
-#> 9674  VR2AR-546131     -5.612700     56.37988             35
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-#> 9676  VR2AR-546131     -5.612700     56.37988             35
-#> 9677  VR2AR-546131     -5.612700     56.37988             35
-#> 9678  VR2AR-546131     -5.612700     56.37988             35
-#> 9679  VR2AR-546131     -5.612700     56.37988             35
-#> 9680  VR2AR-546131     -5.612700     56.37988             35
-#> 9681  VR2AR-546131     -5.612700     56.37988             35
-#> 9682  VR2AR-546131     -5.612700     56.37988             35
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-#> 9684  VR2AR-546131     -5.612700     56.37988             35
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-#> 9686  VR2AR-546131     -5.612700     56.37988             35
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-#> 9689  VR2AR-546584     -5.604973     56.37774             30
-#> 9690  VR2AR-546131     -5.612700     56.37988             35
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-#> 9693  VR2AR-546131     -5.612700     56.37988             35
-#> 9694  VR2AR-546584     -5.604973     56.37774             30
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-#> 9703  VR2AR-546131     -5.612700     56.37988             35
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-#> 9705  VR2AR-546584     -5.604973     56.37774             30
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-#> 9707  VR2AR-546131     -5.612700     56.37988             35
-#> 9708  VR2AR-546131     -5.612700     56.37988             35
-#> 9709  VR2AR-546584     -5.604973     56.37774             30
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-#> 9716  VR2AR-546584     -5.604973     56.37774             30
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-#> 9750  VR2AR-546380     -5.637917     56.44800             25
-#> 9751  VR2AR-546380     -5.637917     56.44800             25
-#> 9752  VR2AR-546380     -5.637917     56.44800             25
-#> 9753  VR2AR-546136     -5.626250     56.44810             75
-#> 9754  VR2AR-546136     -5.626250     56.44810             75
-#> 9755  VR2AR-546380     -5.637917     56.44800             25
-#> 9756  VR2AR-546380     -5.637917     56.44800             25
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-#> 9771  VR2AR-546380     -5.637917     56.44800             25
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-#> 9777  VR2AR-546134     -5.643867     56.38278            145
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-#> 9779  VR2AR-546134     -5.643867     56.38278            145
-#> 9780  VR2AR-546134     -5.643867     56.38278            145
-#> 9781  VR2AR-546134     -5.643867     56.38278            145
-#> 9782  VR2AR-546134     -5.643867     56.38278            145
-#> 9783  VR2AR-546134     -5.643867     56.38278            145
-#> 9784  VR2AR-546134     -5.643867     56.38278            145
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-#> 9791  VR2AR-546131     -5.612700     56.37988             35
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-#> 9820  VR2AR-546131     -5.612700     56.37988             35
-#> 9821  VR2AR-546131     -5.612700     56.37988             35
-#> 9822  VR2AR-546131     -5.612700     56.37988             35
-#> 9823  VR2AR-546131     -5.612700     56.37988             35
-#> 9824  VR2AR-546131     -5.612700     56.37988             35
-#> 9825  VR2AR-546131     -5.612700     56.37988             35
-#> 9826  VR2AR-546131     -5.612700     56.37988             35
-#> 9827  VR2AR-546131     -5.612700     56.37988             35
-#> 9828  VR2AR-546131     -5.612700     56.37988             35
-#> 9829  VR2AR-546131     -5.612700     56.37988             35
-#> 9830  VR2AR-546131     -5.612700     56.37988             35
-#> 9831  VR2AR-546131     -5.612700     56.37988             35
-#> 9832  VR2AR-546131     -5.612700     56.37988             35
-#> 9833  VR2AR-546131     -5.612700     56.37988             35
-#> 9834  VR2AR-546131     -5.612700     56.37988             35
-#> 9835  VR2AR-546131     -5.612700     56.37988             35
-#> 9836  VR2AR-546131     -5.612700     56.37988             35
-#> 9837  VR2AR-546131     -5.612700     56.37988             35
-#> 9838  VR2AR-546131     -5.612700     56.37988             35
-#> 9839  VR2AR-546131     -5.612700     56.37988             35
-#> 9840  VR2AR-546131     -5.612700     56.37988             35
-#> 9841  VR2AR-546131     -5.612700     56.37988             35
-#> 9842  VR2AR-546131     -5.612700     56.37988             35
-#> 9843  VR2AR-546131     -5.612700     56.37988             35
-#> 9844  VR2AR-546131     -5.612700     56.37988             35
-#> 9845  VR2AR-546131     -5.612700     56.37988             35
-#> 9846  VR2AR-546131     -5.612700     56.37988             35
-#> 9847  VR2AR-546131     -5.612700     56.37988             35
-#> 9848  VR2AR-546131     -5.612700     56.37988             35
-#> 9849  VR2AR-546131     -5.612700     56.37988             35
-#> 9850  VR2AR-546131     -5.612700     56.37988             35
-#> 9851  VR2AR-546131     -5.612700     56.37988             35
-#> 9852  VR2AR-546131     -5.612700     56.37988             35
-#> 9853  VR2AR-546131     -5.612700     56.37988             35
-#> 9854  VR2AR-546131     -5.612700     56.37988             35
-#> 9855  VR2AR-546131     -5.612700     56.37988             35
-#> 9856  VR2AR-546131     -5.612700     56.37988             35
-#> 9857  VR2AR-546131     -5.612700     56.37988             35
-#> 9858  VR2AR-546131     -5.612700     56.37988             35
-#> 9859  VR2AR-546131     -5.612700     56.37988             35
-#> 9860  VR2AR-546131     -5.612700     56.37988             35
-#> 9861  VR2AR-546131     -5.612700     56.37988             35
-#> 9862  VR2AR-546131     -5.612700     56.37988             35
-#> 9863  VR2AR-546131     -5.612700     56.37988             35
-#> 9864  VR2AR-546131     -5.612700     56.37988             35
-#> 9865  VR2AR-546131     -5.612700     56.37988             35
-#> 9866  VR2AR-546131     -5.612700     56.37988             35
-#> 9867  VR2AR-546131     -5.612700     56.37988             35
-#> 9868  VR2AR-546131     -5.612700     56.37988             35
-#> 9869  VR2AR-546131     -5.612700     56.37988             35
-#> 9870  VR2AR-546131     -5.612700     56.37988             35
-#> 9871  VR2AR-546131     -5.612700     56.37988             35
-#> 9872  VR2AR-546131     -5.612700     56.37988             35
-#> 9873  VR2AR-546131     -5.612700     56.37988             35
-#> 9874  VR2AR-546131     -5.612700     56.37988             35
-#> 9875  VR2AR-546131     -5.612700     56.37988             35
-#> 9876  VR2AR-546131     -5.612700     56.37988             35
-#> 9877  VR2AR-546131     -5.612700     56.37988             35
-#> 9878  VR2AR-546131     -5.612700     56.37988             35
-#> 9879  VR2AR-546131     -5.612700     56.37988             35
-#> 9880  VR2AR-546131     -5.612700     56.37988             35
-#> 9881  VR2AR-546131     -5.612700     56.37988             35
-#> 9882  VR2AR-546131     -5.612700     56.37988             35
-#> 9883  VR2AR-546131     -5.612700     56.37988             35
-#> 9884  VR2AR-546131     -5.612700     56.37988             35
-#> 9885  VR2AR-546131     -5.612700     56.37988             35
-#> 9886  VR2AR-546131     -5.612700     56.37988             35
-#> 9887  VR2AR-546131     -5.612700     56.37988             35
-#> 9888  VR2AR-546131     -5.612700     56.37988             35
-#> 9889  VR2AR-546131     -5.612700     56.37988             35
-#> 9890  VR2AR-546131     -5.612700     56.37988             35
-#> 9891  VR2AR-546131     -5.612700     56.37988             35
-#> 9892  VR2AR-546131     -5.612700     56.37988             35
-#> 9893  VR2AR-546131     -5.612700     56.37988             35
-#> 9894  VR2AR-546584     -5.604973     56.37774             30
-#> 9895  VR2AR-546131     -5.612700     56.37988             35
-#> 9896  VR2AR-546131     -5.612700     56.37988             35
-#> 9897  VR2AR-546131     -5.612700     56.37988             35
-#> 9898  VR2AR-546131     -5.612700     56.37988             35
-#> 9899  VR2AR-546131     -5.612700     56.37988             35
-#> 9900  VR2AR-546131     -5.612700     56.37988             35
-#> 9901  VR2AR-546131     -5.612700     56.37988             35
-#> 9902  VR2AR-546584     -5.604973     56.37774             30
-#> 9903  VR2AR-546131     -5.612700     56.37988             35
-#> 9904  VR2AR-546131     -5.612700     56.37988             35
-#> 9905  VR2AR-546584     -5.604973     56.37774             30
-#> 9906  VR2AR-546131     -5.612700     56.37988             35
-#> 9907  VR2AR-546131     -5.612700     56.37988             35
-#> 9908  VR2AR-546131     -5.612700     56.37988             35
-#> 9909  VR2AR-546584     -5.604973     56.37774             30
-#> 9910  VR2AR-546131     -5.612700     56.37988             35
-#> 9911  VR2AR-546131     -5.612700     56.37988             35
-#> 9912  VR2AR-546584     -5.604973     56.37774             30
-#> 9913  VR2AR-546584     -5.604973     56.37774             30
-#> 9914  VR2AR-546131     -5.612700     56.37988             35
-#> 9915  VR2AR-546584     -5.604973     56.37774             30
-#> 9916  VR2AR-546131     -5.612700     56.37988             35
-#> 9917  VR2AR-546131     -5.612700     56.37988             35
-#> 9918  VR2AR-546131     -5.612700     56.37988             35
-#> 9919  VR2AR-546131     -5.612700     56.37988             35
-#> 9920  VR2AR-546131     -5.612700     56.37988             35
-#> 9921  VR2AR-546131     -5.612700     56.37988             35
-#> 9922  VR2AR-546131     -5.612700     56.37988             35
-#> 9923  VR2AR-546134     -5.643867     56.38278            145
-#> 9924  VR2AR-546134     -5.643867     56.38278            145
-#> 9925  VR2AR-546134     -5.643867     56.38278            145
-#> 9926  VR2AR-546134     -5.643867     56.38278            145
-#> 9927  VR2AR-546134     -5.643867     56.38278            145
-#> 9928  VR2AR-546134     -5.643867     56.38278            145
-#> 9929  VR2AR-546134     -5.643867     56.38278            145
-#> 9930  VR2AR-546134     -5.643867     56.38278            145
-#> 9931  VR2AR-546134     -5.643867     56.38278            145
-#> 9932  VR2AR-546134     -5.643867     56.38278            145
-#> 9933  VR2AR-546134     -5.643867     56.38278            145
-#> 9934  VR2AR-546134     -5.643867     56.38278            145
-#> 9935  VR2AR-546134     -5.643867     56.38278            145
-#> 9936  VR2AR-546134     -5.643867     56.38278            145
-#> 9937  VR2AR-546135     -5.657067     56.38803             85
-#> 9938  VR2AR-546135     -5.657067     56.38803             85
-#> 9939  VR2AR-546135     -5.657067     56.38803             85
-#> 9940  VR2AR-546135     -5.657067     56.38803             85
-#> 9941  VR2AR-546587     -5.661620     56.39041             15
-#> 9942  VR2AR-546135     -5.657067     56.38803             85
-#> 9943  VR2AR-546587     -5.661620     56.39041             15
-#> 9944  VR2AR-546135     -5.657067     56.38803             85
-#> 9945  VR2AR-546587     -5.661620     56.39041             15
-#> 9946  VR2AR-546587     -5.661620     56.39041             15
-#> 9947  VR2AR-546587     -5.661620     56.39041             15
-#> 9948  VR2AR-546587     -5.661620     56.39041             15
-#> 9949  VR2AR-546587     -5.661620     56.39041             15
-#> 9950  VR2AR-546587     -5.661620     56.39041             15
-#> 9951  VR2AR-546587     -5.661620     56.39041             15
-#> 9952  VR2AR-546587     -5.661620     56.39041             15
-#> 9953  VR2AR-546587     -5.661620     56.39041             15
-#> 9954  VR2AR-546587     -5.661620     56.39041             15
-#> 9955  VR2AR-546587     -5.661620     56.39041             15
-#> 9956  VR2AR-546587     -5.661620     56.39041             15
-#> 9957  VR2AR-546135     -5.657067     56.38803             85
-#> 9958  VR2AR-546587     -5.661620     56.39041             15
-#> 9959  VR2AR-546587     -5.661620     56.39041             15
-#> 9960  VR2AR-546587     -5.661620     56.39041             15
-#> 9961  VR2AR-546587     -5.661620     56.39041             15
-#> 9962  VR2AR-546135     -5.657067     56.38803             85
-#> 9963  VR2AR-546587     -5.661620     56.39041             15
-#> 9964  VR2AR-546587     -5.661620     56.39041             15
-#> 9965  VR2AR-546135     -5.657067     56.38803             85
-#> 9966  VR2AR-546587     -5.661620     56.39041             15
-#> 9967  VR2AR-546131     -5.612700     56.37988             35
-#> 9968  VR2AR-546131     -5.612700     56.37988             35
-#> 9969  VR2AR-546131     -5.612700     56.37988             35
-#> 9970  VR2AR-546131     -5.612700     56.37988             35
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-#> 9998  VR2AR-546131     -5.612700     56.37988             35
-#> 9999  VR2AR-546131     -5.612700     56.37988             35
-#> 10000 VR2AR-546131     -5.612700     56.37988             35
-#> 10001 VR2AR-546131     -5.612700     56.37988             35
-#> 10002 VR2AR-546131     -5.612700     56.37988             35
-#> 10003 VR2AR-546131     -5.612700     56.37988             35
-#> 10004 VR2AR-546131     -5.612700     56.37988             35
-#> 10005 VR2AR-546131     -5.612700     56.37988             35
-#> 10006 VR2AR-546131     -5.612700     56.37988             35
-#> 10007 VR2AR-546131     -5.612700     56.37988             35
-#> 10008 VR2AR-546131     -5.612700     56.37988             35
-#> 10009 VR2AR-546131     -5.612700     56.37988             35
-#> 10010 VR2AR-546131     -5.612700     56.37988             35
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-#> 10027 VR2AR-546131     -5.612700     56.37988             35
-#> 10028 VR2AR-546380     -5.637917     56.44800             25
-#> 10029 VR2AR-546380     -5.637917     56.44800             25
-#> 10030 VR2AR-546380     -5.637917     56.44800             25
-#> 10031 VR2AR-546380     -5.637917     56.44800             25
-#> 10032 VR2AR-546380     -5.637917     56.44800             25
-#> 10033 VR2AR-546380     -5.637917     56.44800             25
-#> 10034 VR2AR-546380     -5.637917     56.44800             25
-#> 10035 VR2AR-546380     -5.637917     56.44800             25
-#> 10036 VR2AR-546136     -5.626250     56.44810             75
-#> 10037 VR2AR-546136     -5.626250     56.44810             75
-#> 10038 VR2AR-546136     -5.626250     56.44810             75
-#> 10039 VR2AR-546136     -5.626250     56.44810             75
-#> 10040 VR2AR-546136     -5.626250     56.44810             75
-#> 10041 VR2AR-546136     -5.626250     56.44810             75
-#> 10042 VR2AR-546133     -5.701717     56.49747             90
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-#> 10063 VR2AR-546133     -5.701717     56.49747             90
-#> 10064 VR2AR-546133     -5.701717     56.49747             90
-#> 10065 VR2AR-546133     -5.701717     56.49747             90
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-#> 10068 VR2AR-546133     -5.701717     56.49747             90
-#> 10069 VR2AR-546133     -5.701717     56.49747             90
-#> 10070 VR2AR-546133     -5.701717     56.49747             90
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-#> 10090 VR2AR-546586     -5.707092     56.49447             20
-#> 10091 VR2AR-546133     -5.701717     56.49747             90
-#> 10092 VR2AR-546133     -5.701717     56.49747             90
-#> 10093 VR2AR-546586     -5.707092     56.49447             20
-#> 10094 VR2AR-546133     -5.701717     56.49747             90
-#> 10095 VR2AR-546133     -5.701717     56.49747             90
-#> 10096 VR2AR-546133     -5.701717     56.49747             90
-#> 10097 VR2AR-546586     -5.707092     56.49447             20
-#> 10098 VR2AR-546133     -5.701717     56.49747             90
-#> 10099 VR2AR-546133     -5.701717     56.49747             90
-#> 10100 VR2AR-546133     -5.701717     56.49747             90
-#> 10101 VR2AR-546586     -5.707092     56.49447             20
-#> 10102 VR2AR-546586     -5.707092     56.49447             20
-#> 10103 VR2AR-546133     -5.701717     56.49747             90
-#> 10104 VR2AR-546586     -5.707092     56.49447             20
-#> 10105 VR2AR-546133     -5.701717     56.49747             90
-#> 10106 VR2AR-546133     -5.701717     56.49747             90
-#> 10107 VR2AR-546586     -5.707092     56.49447             20
-#> 10108 VR2AR-546133     -5.701717     56.49747             90
-#> 10109 VR2AR-546586     -5.707092     56.49447             20
-#> 10110 VR2AR-546586     -5.707092     56.49447             20
-#> 10111 VR2AR-546586     -5.707092     56.49447             20
-#> 10112 VR2AR-546133     -5.701717     56.49747             90
-#> 10113 VR2AR-546586     -5.707092     56.49447             20
-#> 10114 VR2AR-546586     -5.707092     56.49447             20
-#> 10115 VR2AR-546133     -5.701717     56.49747             90
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-#> 10118 VR2AR-546133     -5.701717     56.49747             90
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-#> 10120 VR2AR-546586     -5.707092     56.49447             20
-#> 10121 VR2AR-546586     -5.707092     56.49447             20
-#> 10122 VR2AR-546133     -5.701717     56.49747             90
-#> 10123 VR2AR-546586     -5.707092     56.49447             20
-#> 10124 VR2AR-546586     -5.707092     56.49447             20
-#> 10125 VR2AR-546586     -5.707092     56.49447             20
-#> 10126 VR2AR-546586     -5.707092     56.49447             20
-#> 10127 VR2AR-546586     -5.707092     56.49447             20
-#> 10128 VR2AR-546586     -5.707092     56.49447             20
-#> 10129 VR2AR-546586     -5.707092     56.49447             20
-#> 10130 VR2AR-546586     -5.707092     56.49447             20
-#> 10131 VR2AR-546586     -5.707092     56.49447             20
-#> 10132 VR2AR-546586     -5.707092     56.49447             20
-#> 10133 VR2AR-546133     -5.701717     56.49747             90
-#> 10134 VR2AR-546586     -5.707092     56.49447             20
-#> 10135 VR2AR-546133     -5.701717     56.49747             90
-#> 10136 VR2AR-546133     -5.701717     56.49747             90
-#> 10137 VR2AR-546133     -5.701717     56.49747             90
-#> 10138 VR2AR-546133     -5.701717     56.49747             90
-#> 10139 VR2AR-546133     -5.701717     56.49747             90
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-#> 10143 VR2AR-546133     -5.701717     56.49747             90
-#> 10144 VR2AR-546133     -5.701717     56.49747             90
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-#> 10147 VR2AR-546133     -5.701717     56.49747             90
-#> 10148 VR2AR-546133     -5.701717     56.49747             90
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-#> 10150 VR2AR-546133     -5.701717     56.49747             90
-#> 10151 VR2AR-546133     -5.701717     56.49747             90
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-#> 10153 VR2AR-546133     -5.701717     56.49747             90
-#> 10154 VR2AR-546133     -5.701717     56.49747             90
-#> 10155 VR2AR-546133     -5.701717     56.49747             90
-#> 10156 VR2AR-546586     -5.707092     56.49447             20
-#> 10157 VR2AR-546133     -5.701717     56.49747             90
-#> 10158 VR2AR-546133     -5.701717     56.49747             90
-#> 10159 VR2AR-546133     -5.701717     56.49747             90
-#> 10160 VR2AR-546133     -5.701717     56.49747             90
-#> 10161 VR2AR-546586     -5.707092     56.49447             20
-#> 10162 VR2AR-546586     -5.707092     56.49447             20
-#> 10163 VR2AR-546133     -5.701717     56.49747             90
-#> 10164 VR2AR-546586     -5.707092     56.49447             20
-#> 10165 VR2AR-546133     -5.701717     56.49747             90
-#> 10166 VR2AR-546133     -5.701717     56.49747             90
-#> 10167 VR2AR-546133     -5.701717     56.49747             90
-#> 10168 VR2AR-546586     -5.707092     56.49447             20
-#> 10169 VR2AR-546133     -5.701717     56.49747             90
-#> 10170 VR2AR-546133     -5.701717     56.49747             90
-#> 10171 VR2AR-546133     -5.701717     56.49747             90
-#> 10172 VR2AR-546133     -5.701717     56.49747             90
-#> 10173 VR2AR-546133     -5.701717     56.49747             90
-#> 10174 VR2AR-546133     -5.701717     56.49747             90
-#> 10175 VR2AR-546133     -5.701717     56.49747             90
-#> 10176 VR2AR-546133     -5.701717     56.49747             90
-#> 10177 VR2AR-546133     -5.701717     56.49747             90
-#> 10178 VR2AR-546133     -5.701717     56.49747             90
-#> 10179 VR2AR-546133     -5.701717     56.49747             90
-#> 10180 VR2AR-546133     -5.701717     56.49747             90
-#> 10181 VR2AR-546133     -5.701717     56.49747             90
-#> 10182 VR2AR-546133     -5.701717     56.49747             90
-#> 10183 VR2AR-546133     -5.701717     56.49747             90
-#> 10184 VR2AR-546133     -5.701717     56.49747             90
-#> 10185 VR2AR-546133     -5.701717     56.49747             90
-#> 10186 VR2AR-546133     -5.701717     56.49747             90
-#> 10187 VR2AR-546133     -5.701717     56.49747             90
-#> 10188 VR2AR-546133     -5.701717     56.49747             90
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-#> 10193 VR2AR-546133     -5.701717     56.49747             90
-#> 10194 VR2AR-546133     -5.701717     56.49747             90
-#> 10195 VR2AR-546133     -5.701717     56.49747             90
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-#> 10200 VR2AR-546133     -5.701717     56.49747             90
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-#> 10210 VR2AR-546133     -5.701717     56.49747             90
-#> 10211 VR2AR-546133     -5.701717     56.49747             90
-#> 10212 VR2AR-546133     -5.701717     56.49747             90
-#> 10213 VR2AR-546133     -5.701717     56.49747             90
-#> 10214 VR2AR-546133     -5.701717     56.49747             90
-#> 10215 VR2AR-546133     -5.701717     56.49747             90
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-#> 10218 VR2AR-546133     -5.701717     56.49747             90
-#> 10219 VR2AR-546133     -5.701717     56.49747             90
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-#> 10221 VR2AR-546133     -5.701717     56.49747             90
-#> 10222 VR2AR-546133     -5.701717     56.49747             90
-#> 10223 VR2AR-546133     -5.701717     56.49747             90
-#> 10224 VR2AR-546133     -5.701717     56.49747             90
-#> 10225 VR2AR-546133     -5.701717     56.49747             90
-#> 10226 VR2AR-546133     -5.701717     56.49747             90
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-#> 10230 VR2AR-546133     -5.701717     56.49747             90
-#> 10231 VR2AR-546133     -5.701717     56.49747             90
-#> 10232 VR2AR-546133     -5.701717     56.49747             90
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-#> 10238 VR2AR-546133     -5.701717     56.49747             90
-#> 10239 VR2AR-546133     -5.701717     56.49747             90
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-#> 10241 VR2AR-546133     -5.701717     56.49747             90
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-#> 10249 VR2AR-546133     -5.701717     56.49747             90
-#> 10250 VR2AR-546133     -5.701717     56.49747             90
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-#> 10257 VR2AR-546586     -5.707092     56.49447             20
-#> 10258 VR2AR-546133     -5.701717     56.49747             90
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-#> 10260 VR2AR-546133     -5.701717     56.49747             90
-#> 10261 VR2AR-546586     -5.707092     56.49447             20
-#> 10262 VR2AR-546133     -5.701717     56.49747             90
-#> 10263 VR2AR-546133     -5.701717     56.49747             90
-#> 10264 VR2AR-546133     -5.701717     56.49747             90
-#> 10265 VR2AR-546586     -5.707092     56.49447             20
-#> 10266 VR2AR-546133     -5.701717     56.49747             90
-#> 10267 VR2AR-546133     -5.701717     56.49747             90
-#> 10268 VR2AR-546133     -5.701717     56.49747             90
-#> 10269 VR2AR-546586     -5.707092     56.49447             20
-#> 10270 VR2AR-546133     -5.701717     56.49747             90
-#> 10271 VR2AR-546133     -5.701717     56.49747             90
-#> 10272 VR2AR-546133     -5.701717     56.49747             90
-#> 10273 VR2AR-546133     -5.701717     56.49747             90
-#> 10274 VR2AR-546133     -5.701717     56.49747             90
-#> 10275     VR2-5637     -5.692417     56.49913             25
-#> 10276     VR2-5637     -5.692417     56.49913             25
-#> 10277     VR2-5637     -5.692417     56.49913             25
-#> 10278     VR2-5637     -5.692417     56.49913             25
-#> 10279 VR2AR-546133     -5.701717     56.49747             90
-#> 10280 VR2AR-546133     -5.701717     56.49747             90
-#> 10281 VR2AR-546133     -5.701717     56.49747             90
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-#> 10284 VR2AR-546133     -5.701717     56.49747             90
-#> 10285 VR2AR-546136     -5.626250     56.44810             75
-#> 10286 VR2AR-546136     -5.626250     56.44810             75
-#> 10287 VR2AR-546136     -5.626250     56.44810             75
-#> 10288 VR2AR-546136     -5.626250     56.44810             75
-#> 10289 VR2AR-546136     -5.626250     56.44810             75
-#> 10290 VR2AR-546136     -5.626250     56.44810             75
-#> 10291 VR2AR-546131     -5.612700     56.37988             35
-#> 10292 VR2AR-546131     -5.612700     56.37988             35
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-#> 10297 VR2AR-546131     -5.612700     56.37988             35
-#> 10298 VR2AR-546131     -5.612700     56.37988             35
-#> 10299 VR2AR-546131     -5.612700     56.37988             35
-#> 10300 VR2AR-546131     -5.612700     56.37988             35
-#> 10301 VR2AR-546131     -5.612700     56.37988             35
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-#> 10306 VR2AR-546131     -5.612700     56.37988             35
-#> 10307 VR2AR-546131     -5.612700     56.37988             35
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-#> 10309 VR2AR-546131     -5.612700     56.37988             35
-#> 10310 VR2AR-546131     -5.612700     56.37988             35
-#> 10311 VR2AR-546131     -5.612700     56.37988             35
-#> 10312 VR2AR-546131     -5.612700     56.37988             35
-#> 10313 VR2AR-546131     -5.612700     56.37988             35
-#> 10314 VR2AR-546131     -5.612700     56.37988             35
-#> 10315 VR2AR-546131     -5.612700     56.37988             35
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-#> 10321 VR2AR-546131     -5.612700     56.37988             35
-#> 10322 VR2AR-546131     -5.612700     56.37988             35
-#> 10323 VR2AR-546131     -5.612700     56.37988             35
-#> 10324 VR2AR-546131     -5.612700     56.37988             35
-#> 10325 VR2AR-546131     -5.612700     56.37988             35
-#> 10326 VR2AR-546131     -5.612700     56.37988             35
-#> 10327 VR2AR-546131     -5.612700     56.37988             35
-#> 10328 VR2AR-546131     -5.612700     56.37988             35
-#> 10329 VR2AR-546131     -5.612700     56.37988             35
-#> 10330 VR2AR-546131     -5.612700     56.37988             35
-#> 10331 VR2AR-546131     -5.612700     56.37988             35
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-#> 10333 VR2AR-546131     -5.612700     56.37988             35
-#> 10334 VR2AR-546131     -5.612700     56.37988             35
-#> 10335 VR2AR-546131     -5.612700     56.37988             35
-#> 10336 VR2AR-546131     -5.612700     56.37988             35
-#> 10337 VR2AR-546131     -5.612700     56.37988             35
-#> 10338 VR2AR-546131     -5.612700     56.37988             35
-#> 10339 VR2AR-546131     -5.612700     56.37988             35
-#> 10340 VR2AR-546380     -5.637917     56.44800             25
-#> 10341 VR2AR-546380     -5.637917     56.44800             25
-#> 10342 VR2AR-546136     -5.626250     56.44810             75
-#> 10343 VR2AR-546136     -5.626250     56.44810             75
-#> 10344 VR2AR-546380     -5.637917     56.44800             25
-#> 10345 VR2AR-546380     -5.637917     56.44800             25
-#> 10346 VR2AR-546134     -5.643867     56.38278            145
-#> 10347 VR2AR-546134     -5.643867     56.38278            145
-#> 10348 VR2AR-546134     -5.643867     56.38278            145
-#> 10349 VR2AR-546134     -5.643867     56.38278            145
-#> 10350 VR2AR-546134     -5.643867     56.38278            145
-#> 10351 VR2AR-546134     -5.643867     56.38278            145
-#> 10352 VR2AR-546134     -5.643867     56.38278            145
-#> 10353 VR2AR-546134     -5.643867     56.38278            145
-#> 10354 VR2AR-546134     -5.643867     56.38278            145
-#> 10355 VR2AR-546134     -5.643867     56.38278            145
-#> 10356 VR2AR-546134     -5.643867     56.38278            145
-#> 10357 VR2AR-546134     -5.643867     56.38278            145
-#> 10358 VR2AR-546134     -5.643867     56.38278            145
-#> 10359 VR2AR-546134     -5.643867     56.38278            145
-#> 10360 VR2AR-546134     -5.643867     56.38278            145
-#> 10361 VR2AR-546134     -5.643867     56.38278            145
-#> 10362 VR2AR-546134     -5.643867     56.38278            145
-#> 10363 VR2AR-546134     -5.643867     56.38278            145
-#> 10364 VR2AR-546134     -5.643867     56.38278            145
-#> 10365 VR2AR-546134     -5.643867     56.38278            145
-#> 10366 VR2AR-546134     -5.643867     56.38278            145
-#> 10367 VR2AR-546134     -5.643867     56.38278            145
-#> 10368 VR2AR-546134     -5.643867     56.38278            145
-#> 10369 VR2AR-546134     -5.643867     56.38278            145
-#> 10370 VR2AR-546134     -5.643867     56.38278            145
-#> 10371 VR2AR-546134     -5.643867     56.38278            145
-#> 10372 VR2AR-546134     -5.643867     56.38278            145
-#> 10373 VR2AR-546134     -5.643867     56.38278            145
-#> 10374 VR2AR-546134     -5.643867     56.38278            145
-#> 10375 VR2AR-546134     -5.643867     56.38278            145
-#> 10376 VR2AR-546134     -5.643867     56.38278            145
-#> 10377 VR2AR-546134     -5.643867     56.38278            145
-#> 10378 VR2AR-546134     -5.643867     56.38278            145
-#> 10379 VR2AR-546134     -5.643867     56.38278            145
-#> 10380 VR2AR-546134     -5.643867     56.38278            145
-#> 10381 VR2AR-546134     -5.643867     56.38278            145
-#> 10382 VR2AR-546134     -5.643867     56.38278            145
-#> 10383 VR2AR-546585     -5.623995     56.37436             75
-#> 10384 VR2AR-546585     -5.623995     56.37436             75
-#> 10385 VR2AR-546585     -5.623995     56.37436             75
-#> 10386 VR2AR-546585     -5.623995     56.37436             75
-#> 10387 VR2AR-546585     -5.623995     56.37436             75
-#> 10388 VR2AR-546585     -5.623995     56.37436             75
-#> 10389 VR2AR-546585     -5.623995     56.37436             75
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-#> 10395 VR2AR-546585     -5.623995     56.37436             75
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-#> 10399 VR2AR-546585     -5.623995     56.37436             75
-#> 10400 VR2AR-546585     -5.623995     56.37436             75
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-#> 10403 VR2AR-546585     -5.623995     56.37436             75
-#> 10404  VR2W-108158     -5.619533     56.37413             25
-#> 10405  VR2W-108158     -5.619533     56.37413             25
-#> 10406 VR2AR-546585     -5.623995     56.37436             75
-#> 10407  VR2W-108158     -5.619533     56.37413             25
-#> 10408 VR2AR-546585     -5.623995     56.37436             75
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-#> 10410 VR2AR-546585     -5.623995     56.37436             75
-#> 10411  VR2W-108158     -5.619533     56.37413             25
-#> 10412  VR2W-108158     -5.619533     56.37413             25
-#> 10413  VR2W-108158     -5.619533     56.37413             25
-#> 10414  VR2W-108158     -5.619533     56.37413             25
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-#> 10416  VR2W-108158     -5.619533     56.37413             25
-#> 10417 VR2AR-546585     -5.623995     56.37436             75
-#> 10418  VR2W-108158     -5.619533     56.37413             25
-#> 10419  VR2W-108158     -5.619533     56.37413             25
-#> 10420  VR2W-108158     -5.619533     56.37413             25
-#> 10421 VR2AR-546585     -5.623995     56.37436             75
-#> 10422  VR2W-108158     -5.619533     56.37413             25
-#> 10423  VR2W-108158     -5.619533     56.37413             25
-#> 10424  VR2W-108158     -5.619533     56.37413             25
-#> 10425  VR2W-108158     -5.619533     56.37413             25
-#> 10426  VR2W-108158     -5.619533     56.37413             25
-#> 10427  VR2W-108158     -5.619533     56.37413             25
-#> 10428 VR2AR-546585     -5.623995     56.37436             75
-#> 10429  VR2W-108158     -5.619533     56.37413             25
-#> 10430  VR2W-108158     -5.619533     56.37413             25
-#> 10431 VR2AR-546585     -5.623995     56.37436             75
-#> 10432  VR2W-108158     -5.619533     56.37413             25
-#> 10433 VR2AR-546585     -5.623995     56.37436             75
-#> 10434  VR2W-108158     -5.619533     56.37413             25
-#> 10435  VR2W-108158     -5.619533     56.37413             25
-#> 10436 VR2AR-546585     -5.623995     56.37436             75
-#> 10437  VR2W-108158     -5.619533     56.37413             25
-#> 10438  VR2W-108158     -5.619533     56.37413             25
-#> 10439  VR2W-108158     -5.619533     56.37413             25
-#> 10440 VR2AR-546585     -5.623995     56.37436             75
-#> 10441  VR2W-108158     -5.619533     56.37413             25
-#> 10442 VR2AR-546585     -5.623995     56.37436             75
-#> 10443  VR2W-108158     -5.619533     56.37413             25
-#> 10444 VR2AR-546585     -5.623995     56.37436             75
-#> 10445  VR2W-108158     -5.619533     56.37413             25
-#> 10446 VR2AR-546585     -5.623995     56.37436             75
-#> 10447  VR2W-108158     -5.619533     56.37413             25
-#> 10448  VR2W-108158     -5.619533     56.37413             25
-#> 10449 VR2AR-546585     -5.623995     56.37436             75
-#> 10450 VR2AR-546585     -5.623995     56.37436             75
-#> 10451 VR2AR-546585     -5.623995     56.37436             75
-#> 10452 VR2AR-546585     -5.623995     56.37436             75
-#> 10453 VR2AR-546585     -5.623995     56.37436             75
-#> 10454 VR2AR-546585     -5.623995     56.37436             75
-#> 10455  VR2W-108158     -5.619533     56.37413             25
-#> 10456 VR2AR-546131     -5.612700     56.37988             35
-#> 10457 VR2AR-546131     -5.612700     56.37988             35
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-#> 10459 VR2AR-546131     -5.612700     56.37988             35
-#> 10460 VR2AR-546131     -5.612700     56.37988             35
-#> 10461 VR2AR-546131     -5.612700     56.37988             35
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-#> 10463 VR2AR-546131     -5.612700     56.37988             35
-#> 10464 VR2AR-546131     -5.612700     56.37988             35
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-#> 10469 VR2AR-546131     -5.612700     56.37988             35
-#> 10470 VR2AR-546131     -5.612700     56.37988             35
-#> 10471 VR2AR-546131     -5.612700     56.37988             35
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-#> 10478 VR2AR-546131     -5.612700     56.37988             35
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-#> 10500 VR2AR-546131     -5.612700     56.37988             35
-#> 10501 VR2AR-546131     -5.612700     56.37988             35
-#> 10502 VR2AR-546584     -5.604973     56.37774             30
-#> 10503 VR2AR-546131     -5.612700     56.37988             35
-#> 10504 VR2AR-546584     -5.604973     56.37774             30
-#> 10505 VR2AR-546131     -5.612700     56.37988             35
-#> 10506 VR2AR-546584     -5.604973     56.37774             30
-#> 10507 VR2AR-546131     -5.612700     56.37988             35
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-#> 10509 VR2AR-546584     -5.604973     56.37774             30
-#> 10510 VR2AR-546584     -5.604973     56.37774             30
-#> 10511 VR2AR-546131     -5.612700     56.37988             35
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-#> 10513 VR2AR-546584     -5.604973     56.37774             30
-#> 10514 VR2AR-546131     -5.612700     56.37988             35
-#> 10515 VR2AR-546131     -5.612700     56.37988             35
-#> 10516 VR2AR-546584     -5.604973     56.37774             30
-#> 10517 VR2AR-546131     -5.612700     56.37988             35
-#> 10518 VR2AR-546584     -5.604973     56.37774             30
-#> 10519 VR2AR-546584     -5.604973     56.37774             30
-#> 10520 VR2AR-546131     -5.612700     56.37988             35
-#> 10521 VR2AR-546584     -5.604973     56.37774             30
-#> 10522 VR2AR-546131     -5.612700     56.37988             35
-#> 10523 VR2AR-546131     -5.612700     56.37988             35
-#> 10524 VR2AR-546584     -5.604973     56.37774             30
-#> 10525 VR2AR-546584     -5.604973     56.37774             30
-#> 10526 VR2AR-546131     -5.612700     56.37988             35
-#> 10527 VR2AR-546131     -5.612700     56.37988             35
-#> 10528 VR2AR-546584     -5.604973     56.37774             30
-#> 10529 VR2AR-546131     -5.612700     56.37988             35
-#> 10530 VR2AR-546584     -5.604973     56.37774             30
-#> 10531 VR2AR-546131     -5.612700     56.37988             35
-#> 10532 VR2AR-546131     -5.612700     56.37988             35
-#> 10533 VR2AR-546584     -5.604973     56.37774             30
-#> 10534 VR2AR-546584     -5.604973     56.37774             30
-#> 10535 VR2AR-546131     -5.612700     56.37988             35
-#> 10536 VR2AR-546131     -5.612700     56.37988             35
-#> 10537 VR2AR-546584     -5.604973     56.37774             30
-#> 10538 VR2AR-546584     -5.604973     56.37774             30
-#> 10539 VR2AR-546131     -5.612700     56.37988             35
-#> 10540 VR2AR-546131     -5.612700     56.37988             35
-#> 10541 VR2AR-546584     -5.604973     56.37774             30
-#> 10542 VR2AR-546131     -5.612700     56.37988             35
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-#> 10557 VR2AR-546134     -5.643867     56.38278            145
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-#> 10581 VR2AR-546135     -5.657067     56.38803             85
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-#> 10584 VR2AR-546380     -5.637917     56.44800             25
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-#> 10602 VR2AR-546586     -5.707092     56.49447             20
-#> 10603 VR2AR-546133     -5.701717     56.49747             90
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-#> 10634 VR2AR-546586     -5.707092     56.49447             20
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-#> 10638 VR2AR-546586     -5.707092     56.49447             20
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-#> 10646 VR2AR-546133     -5.701717     56.49747             90
-#> 10647 VR2AR-546586     -5.707092     56.49447             20
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-#> 10682 VR2AR-546134     -5.643867     56.38278            145
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-#> 10695 VR2AR-546131     -5.612700     56.37988             35
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-#> 10709 VR2AR-546131     -5.612700     56.37988             35
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-#> 10901 VR2AR-546585     -5.623995     56.37436             75
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-#> 10904  VR2W-108160     -5.631733     56.37447             50
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-#> 10921 VR2AR-546134     -5.643867     56.38278            145
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-#> 10936 VR2AR-546135     -5.657067     56.38803             85
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-#> 10953 VR2AR-546380     -5.637917     56.44800             25
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-#> 11008 VR2AR-546131     -5.612700     56.37988             35
-#> 11009 VR2AR-546131     -5.612700     56.37988             35
-#> 11010 VR2AR-546131     -5.612700     56.37988             35
-#> 11011 VR2AR-546131     -5.612700     56.37988             35
-#> 11012 VR2AR-546131     -5.612700     56.37988             35
-#> 11013 VR2AR-546131     -5.612700     56.37988             35
-#> 11014 VR2AR-546131     -5.612700     56.37988             35
-#> 11015 VR2AR-546131     -5.612700     56.37988             35
-#> 11016 VR2AR-546131     -5.612700     56.37988             35
-#> 11017 VR2AR-546131     -5.612700     56.37988             35
-#> 11018 VR2AR-546131     -5.612700     56.37988             35
-#> 11019 VR2AR-546131     -5.612700     56.37988             35
-#> 11020 VR2AR-546131     -5.612700     56.37988             35
-#> 11021 VR2AR-546131     -5.612700     56.37988             35
-#> 11022 VR2AR-546131     -5.612700     56.37988             35
-#> 11023 VR2AR-546131     -5.612700     56.37988             35
-#> 11024 VR2AR-546131     -5.612700     56.37988             35
-#> 11025 VR2AR-546131     -5.612700     56.37988             35
-#> 11026 VR2AR-546131     -5.612700     56.37988             35
-#> 11027 VR2AR-546131     -5.612700     56.37988             35
-#> 11028 VR2AR-546131     -5.612700     56.37988             35
-#> 11029 VR2AR-546131     -5.612700     56.37988             35
-#> 11030 VR2AR-546131     -5.612700     56.37988             35
-#> 11031 VR2AR-546131     -5.612700     56.37988             35
-#> 11032 VR2AR-546131     -5.612700     56.37988             35
-#> 11033 VR2AR-546131     -5.612700     56.37988             35
-#> 11034 VR2AR-546131     -5.612700     56.37988             35
-#> 11035 VR2AR-546131     -5.612700     56.37988             35
-#> 11036 VR2AR-546131     -5.612700     56.37988             35
-#> 11037 VR2AR-546131     -5.612700     56.37988             35
-#> 11038 VR2AR-546131     -5.612700     56.37988             35
-#> 11039 VR2AR-546131     -5.612700     56.37988             35
-#> 11040 VR2AR-546131     -5.612700     56.37988             35
-#> 11041 VR2AR-546131     -5.612700     56.37988             35
-#> 11042 VR2AR-546131     -5.612700     56.37988             35
-#> 11043 VR2AR-546131     -5.612700     56.37988             35
-#> 11044 VR2AR-546131     -5.612700     56.37988             35
-#> 11045 VR2AR-546131     -5.612700     56.37988             35
-#> 11046 VR2AR-546131     -5.612700     56.37988             35
-#> 11047 VR2AR-546131     -5.612700     56.37988             35
-#> 11048 VR2AR-546131     -5.612700     56.37988             35
-#> 11049 VR2AR-546131     -5.612700     56.37988             35
-#> 11050 VR2AR-546131     -5.612700     56.37988             35
-#> 11051 VR2AR-546131     -5.612700     56.37988             35
-#> 11052 VR2AR-546131     -5.612700     56.37988             35
-#> 11053 VR2AR-546131     -5.612700     56.37988             35
-#> 11054 VR2AR-546131     -5.612700     56.37988             35
-#> 11055 VR2AR-546131     -5.612700     56.37988             35
-#> 11056 VR2AR-546131     -5.612700     56.37988             35
-#> 11057 VR2AR-546131     -5.612700     56.37988             35
-#> 11058 VR2AR-546131     -5.612700     56.37988             35
-#> 11059 VR2AR-546131     -5.612700     56.37988             35
-#> 11060 VR2AR-546131     -5.612700     56.37988             35
-#> 11061 VR2AR-546131     -5.612700     56.37988             35
-#> 11062 VR2AR-546131     -5.612700     56.37988             35
-#> 11063 VR2AR-546131     -5.612700     56.37988             35
-#> 11064 VR2AR-546131     -5.612700     56.37988             35
-#> 11065 VR2AR-546131     -5.612700     56.37988             35
-#> 11066 VR2AR-546131     -5.612700     56.37988             35
-#> 11067 VR2AR-546131     -5.612700     56.37988             35
-#> 11068 VR2AR-546131     -5.612700     56.37988             35
-#> 11069 VR2AR-546131     -5.612700     56.37988             35
-#> 11070 VR2AR-546131     -5.612700     56.37988             35
-#> 11071 VR2AR-546131     -5.612700     56.37988             35
-#> 11072 VR2AR-546131     -5.612700     56.37988             35
-#> 11073 VR2AR-546131     -5.612700     56.37988             35
-#> 11074 VR2AR-546131     -5.612700     56.37988             35
-#> 11075 VR2AR-546131     -5.612700     56.37988             35
-#> 11076 VR2AR-546131     -5.612700     56.37988             35
-#> 11077 VR2AR-546131     -5.612700     56.37988             35
-#> 11078 VR2AR-546131     -5.612700     56.37988             35
-#> 11079 VR2AR-546131     -5.612700     56.37988             35
-#> 11080 VR2AR-546131     -5.612700     56.37988             35
-#> 11081 VR2AR-546131     -5.612700     56.37988             35
-#> 11082 VR2AR-546131     -5.612700     56.37988             35
-#> 11083 VR2AR-546131     -5.612700     56.37988             35
-#> 11084 VR2AR-546131     -5.612700     56.37988             35
-#> 11085 VR2AR-546131     -5.612700     56.37988             35
-#> 11086 VR2AR-546131     -5.612700     56.37988             35
-#> 11087 VR2AR-546131     -5.612700     56.37988             35
-#> 11088 VR2AR-546131     -5.612700     56.37988             35
-#> 11089 VR2AR-546131     -5.612700     56.37988             35
-#> 11090 VR2AR-546131     -5.612700     56.37988             35
-#> 11091 VR2AR-546131     -5.612700     56.37988             35
-#> 11092 VR2AR-546584     -5.604973     56.37774             30
-#> 11093 VR2AR-546131     -5.612700     56.37988             35
-#> 11094 VR2AR-546131     -5.612700     56.37988             35
-#> 11095 VR2AR-546131     -5.612700     56.37988             35
-#> 11096 VR2AR-546584     -5.604973     56.37774             30
-#> 11097 VR2AR-546131     -5.612700     56.37988             35
-#> 11098 VR2AR-546131     -5.612700     56.37988             35
-#> 11099 VR2AR-546584     -5.604973     56.37774             30
-#> 11100 VR2AR-546584     -5.604973     56.37774             30
-#> 11101 VR2AR-546131     -5.612700     56.37988             35
-#> 11102 VR2AR-546584     -5.604973     56.37774             30
-#> 11103 VR2AR-546584     -5.604973     56.37774             30
-#> 11104 VR2AR-546131     -5.612700     56.37988             35
-#> 11105 VR2AR-546584     -5.604973     56.37774             30
-#> 11106 VR2AR-546584     -5.604973     56.37774             30
-#> 11107 VR2AR-546131     -5.612700     56.37988             35
-#> 11108 VR2AR-546131     -5.612700     56.37988             35
-#> 11109 VR2AR-546131     -5.612700     56.37988             35
-#> 11110 VR2AR-546584     -5.604973     56.37774             30
-#> 11111 VR2AR-546131     -5.612700     56.37988             35
-#>  [ reached 'max' / getOption("max.print") -- omitted 1897 rows ]
-#> 
-#> [[3]]$args$delta_t
-#> [1] "24 hours"
-#> 
-#> 
-#> 
    graphics::par(pp)
 
-
    +
    verbose
    +

    A logical variable that defines whether or not to print messages to the console to relay function progress.

    + +
    +
    +

    Value

    + + +

    The function returns a named list and a plot for each method. The list contains a `data' element that is a named list of dataframes for each method (`m1', `m2') and implementation (`i1', `i2'). For `m1_i1', the dataframe contains the number of receivers with detections (`n_receiver_with_detections') and the percent of the time series for which that number of receivers made detections (`pc_of_ts'). For `m1_i2', the percentage of receivers with detections (`pc_receiver_with_detections') is given instead. For `m2_i1', the number of detections (`n_detections') is given; for `m2_i2', it is the number of detections per receiver (`n_detections_per_receiver'). The list also contains an `args' element that records the inputs to acoustics and delta_t for reference.

    +
    +
    +

    Details

    +

    The selection of the most appropriate time interval over which to calculate COAs reflects a trade off between (a) larger intervals, over which time more detections at more receivers are made, which enable more accurate estimates, versus (b) smaller intervals, over which time movement is more restricted and centres of activity are representative of the individual's location or short-term centre of activity (Simpfendorfer et al., 2002). As a starting point, Simpfendorfer et al. (2002) suggest intervals from 5 - 60 minutes may often be suitable, although longer intervals may be required.

    +
    +
    +

    References

    +

    Simpfendorfer, C. A., M. R. Heupel, and R. E. Hueter. 2002. Estimation of short-term centers of activity from an array of omnidirectional hydrophones and its use in studying animal movements. Canadian Journal of Fisheries and Aquatic Sciences 59:23-32.

    +
    +
    +

    See also

    +

    coa calculates centres of activity.

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    + +
    +

    Examples

    + 
    #### Example (1): For a specified delta_t, use a specific method and implementation
+pp <- graphics::par(mfrow = c(2, 2))
+dat <- coa_setup_delta_t(acoustics = dat_acoustics[dat_acoustics$individual_id == 25, ],
+                         delta_t = "6 hours",
+                         method = 1L,
+                         implementation = 1L,
+                         main = "1(1)")
+#> flapper::coa_setup_delta_t() called (@ 2023-02-19 14:53:03)... 
+#> ... Calculating detection statistics across time intervals.... 
+#> ... Implementing method 1... 
+#> ... ... Using implementation = 1L... 
+#> ... flapper::coa_setup_delta_t() call completed (@ 2023-02-19 14:53:03) after ~0 minutes. 
+utils::str(dat)
+#> List of 2
+#>  $ data:List of 4
+#>   ..$ m1_i1:'data.frame':	38 obs. of  2 variables:
+#>   .. ..$ n_receiver_with_detections: int [1:38] 0 1 2 3 4 5 6 7 8 9 ...
+#>   .. ..$ pc_of_ts                  : num [1:38] 73.299 21.032 4.422 0.794 0.397 ...
+#>   ..$ m1_i2: NULL
+#>   ..$ m2_i1: NULL
+#>   ..$ m2_i2: NULL
+#>  $ args:List of 2
+#>   ..$ acoustics:'data.frame':	13008 obs. of  9 variables:
+#>   .. ..$ individual_id : int [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
+#>   .. ..$ transmitter_id: chr [1:13008] "A69-1303-555" "A69-1303-555" "A69-1303-555" "A69-1303-555" ...
+#>   .. ..$ index         : int [1:13008] 1 2 4 5 7 8 9 10 12 14 ...
+#>   .. ..$ timestamp     : POSIXct[1:13008], format: "2016-03-17 01:50:00" "2016-03-17 01:52:00" ...
+#>   .. ..$ receiver_id   : int [1:13008] 26 26 26 26 26 26 26 26 26 26 ...
+#>   .. ..$ receiver      : chr [1:13008] "VR2W-108163" "VR2W-108163" "VR2W-108163" "VR2W-108163" ...
+#>   .. ..$ receiver_long : num [1:13008] -5.61 -5.61 -5.61 -5.61 -5.61 ...
+#>   .. ..$ receiver_lat  : num [1:13008] 56.4 56.4 56.4 56.4 56.4 ...
+#>   .. ..$ receiver_depth: num [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
+#>   ..$ delta_t  : chr "6 hours"
+dat <- coa_setup_delta_t(acoustics = dat_acoustics[dat_acoustics$individual_id == 25, ],
+                         delta_t = "6 hours",
+                         method = 1L,
+                         implementation = 2L,
+                         moorings = dat_moorings,
+                         main = "1(2)")
+#> flapper::coa_setup_delta_t() called (@ 2023-02-19 14:53:03)... 
+#> ... Calculating the number of operational receivers through time for implementation = 2L... 
+#> ... Calculating detection statistics across time intervals.... 
+#> ... Implementing method 1... 
+#> ... ... Using implementation = 2L... 
+#> ... flapper::coa_setup_delta_t() call completed (@ 2023-02-19 14:53:05) after ~0.03 minutes. 
+utils::str(dat)
+#> List of 2
+#>  $ data:List of 4
+#>   ..$ m1_i1: NULL
+#>   ..$ m1_i2:'data.frame':	22 obs. of  2 variables:
+#>   .. ..$ pc_receiver_with_detections: num [1:22] 0 4.35 4.55 4.76 5 ...
+#>   .. ..$ pc_of_ts                   : num [1:22] 73.356 4.932 1.871 0.283 3.458 ...
+#>   ..$ m2_i1: NULL
+#>   ..$ m2_i2: NULL
+#>  $ args:List of 2
+#>   ..$ acoustics:'data.frame':	13008 obs. of  9 variables:
+#>   .. ..$ individual_id : int [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
+#>   .. ..$ transmitter_id: chr [1:13008] "A69-1303-555" "A69-1303-555" "A69-1303-555" "A69-1303-555" ...
+#>   .. ..$ index         : int [1:13008] 1 2 4 5 7 8 9 10 12 14 ...
+#>   .. ..$ timestamp     : POSIXct[1:13008], format: "2016-03-17 01:50:00" "2016-03-17 01:52:00" ...
+#>   .. ..$ receiver_id   : int [1:13008] 26 26 26 26 26 26 26 26 26 26 ...
+#>   .. ..$ receiver      : chr [1:13008] "VR2W-108163" "VR2W-108163" "VR2W-108163" "VR2W-108163" ...
+#>   .. ..$ receiver_long : num [1:13008] -5.61 -5.61 -5.61 -5.61 -5.61 ...
+#>   .. ..$ receiver_lat  : num [1:13008] 56.4 56.4 56.4 56.4 56.4 ...
+#>   .. ..$ receiver_depth: num [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
+#>   ..$ delta_t  : chr "6 hours"
+dat <- coa_setup_delta_t(acoustics = dat_acoustics[dat_acoustics$individual_id == 25, ],
+                         delta_t = "6 hours",
+                         method = 2L,
+                         implementation = 1L,
+                         main = "2(1)")
+#> flapper::coa_setup_delta_t() called (@ 2023-02-19 14:53:05)... 
+#> ... Calculating detection statistics across time intervals.... 
+#> ... Implementing method 2... 
+#> ... ... Using implementation = 1L... 
+#> ... flapper::coa_setup_delta_t() call completed (@ 2023-02-19 14:53:05) after ~0 minutes. 
+utils::str(dat)
+#> List of 2
+#>  $ data:List of 4
+#>   ..$ m1_i1: NULL
+#>   ..$ m1_i2: NULL
+#>   ..$ m2_i1:'data.frame':	107 obs. of  2 variables:
+#>   .. ..$ n_detections: num [1:107] 0 1 2 3 4 5 6 7 8 9 ...
+#>   .. ..$ pc_of_ts    : num [1:107] 73.3 0.68 1.42 1.13 1.08 ...
+#>   ..$ m2_i2: NULL
+#>  $ args:List of 2
+#>   ..$ acoustics:'data.frame':	13008 obs. of  9 variables:
+#>   .. ..$ individual_id : int [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
+#>   .. ..$ transmitter_id: chr [1:13008] "A69-1303-555" "A69-1303-555" "A69-1303-555" "A69-1303-555" ...
+#>   .. ..$ index         : int [1:13008] 1 2 4 5 7 8 9 10 12 14 ...
+#>   .. ..$ timestamp     : POSIXct[1:13008], format: "2016-03-17 01:50:00" "2016-03-17 01:52:00" ...
+#>   .. ..$ receiver_id   : int [1:13008] 26 26 26 26 26 26 26 26 26 26 ...
+#>   .. ..$ receiver      : chr [1:13008] "VR2W-108163" "VR2W-108163" "VR2W-108163" "VR2W-108163" ...
+#>   .. ..$ receiver_long : num [1:13008] -5.61 -5.61 -5.61 -5.61 -5.61 ...
+#>   .. ..$ receiver_lat  : num [1:13008] 56.4 56.4 56.4 56.4 56.4 ...
+#>   .. ..$ receiver_depth: num [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
+#>   ..$ delta_t  : chr "6 hours"
+dat <- coa_setup_delta_t(acoustics = dat_acoustics[dat_acoustics$individual_id == 25, ],
+                         delta_t = "6 hours",
+                         method = 2L,
+                         implementation = 2L,
+                         moorings = dat_moorings,
+                         main = "2(2)")
+#> flapper::coa_setup_delta_t() called (@ 2023-02-19 14:53:05)... 
+#> ... Calculating the number of operational receivers through time for implementation = 2L... 
+#> ... Calculating detection statistics across time intervals.... 
+#> ... Implementing method 2... 
+#> ... ... Using implementation = 2L... 
+
+#> ... flapper::coa_setup_delta_t() call completed (@ 2023-02-19 14:53:07) after ~0.04 minutes. 
+utils::str(dat)
+#> List of 2
+#>  $ data:List of 4
+#>   ..$ m1_i1: NULL
+#>   ..$ m1_i2: NULL
+#>   ..$ m2_i1: NULL
+#>   ..$ m2_i2:'data.frame':	246 obs. of  2 variables:
+#>   .. ..$ pc_detections_per_receiver: num [1:246] 0 0.0435 0.0556 0.0588 0.0714 ...
+#>   .. ..$ pc_of_ts                  : num [1:246] 73.299 0.113 0.17 0.17 0.113 ...
+#>  $ args:List of 2
+#>   ..$ acoustics:'data.frame':	13008 obs. of  9 variables:
+#>   .. ..$ individual_id : int [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
+#>   .. ..$ transmitter_id: chr [1:13008] "A69-1303-555" "A69-1303-555" "A69-1303-555" "A69-1303-555" ...
+#>   .. ..$ index         : int [1:13008] 1 2 4 5 7 8 9 10 12 14 ...
+#>   .. ..$ timestamp     : POSIXct[1:13008], format: "2016-03-17 01:50:00" "2016-03-17 01:52:00" ...
+#>   .. ..$ receiver_id   : int [1:13008] 26 26 26 26 26 26 26 26 26 26 ...
+#>   .. ..$ receiver      : chr [1:13008] "VR2W-108163" "VR2W-108163" "VR2W-108163" "VR2W-108163" ...
+#>   .. ..$ receiver_long : num [1:13008] -5.61 -5.61 -5.61 -5.61 -5.61 ...
+#>   .. ..$ receiver_lat  : num [1:13008] 56.4 56.4 56.4 56.4 56.4 ...
+#>   .. ..$ receiver_depth: num [1:13008] 25 25 25 25 25 25 25 25 25 25 ...
+#>   ..$ delta_t  : chr "6 hours"
+graphics::par(pp)
+
+#### Example (2) For a specified delta_t, use both methods
+pp <- graphics::par(mfrow = c(1, 2))
+dat <- coa_setup_delta_t(acoustics = dat_acoustics[dat_acoustics$individual_id == 25, ],
+                         delta_t = "6 hours",
+                         method = 1:2L,
+                         implementation = 1L)
+#> flapper::coa_setup_delta_t() called (@ 2023-02-19 14:53:07)... 
+#> ... Calculating detection statistics across time intervals.... 
+#> ... Implementing method 1... 
+#> ... ... Using implementation = 1L... 
+#> ... Implementing method 2... 
+#> ... ... Using implementation = 1L... 
+
+#> ... flapper::coa_setup_delta_t() call completed (@ 2023-02-19 14:53:07) after ~0 minutes. 
+graphics::par(pp)
+
+#### Example (3) Plot customisation options
+# xlim,ylim,xlab,ylab,main accept a vector that affects all plots
+# ... or a list that affects each plot (see 'ylim' versus 'xlim' below).
+# ... other arguments can be passed to prettyGraphics::pretty_plot() via...
+pp <- graphics::par(mfrow = c(1, 2))
+dat <- coa_setup_delta_t(acoustics = dat_acoustics[dat_acoustics$individual_id == 25, ],
+                         delta_t = "6 hours",
+                         xlim = list(c(0, 50), c(0, 450)), ylim = c(0, 100),
+                         method = 1:2L,
+                         implementation = 1L,
+                         main = list("A", "B"),
+                         col = "royalblue", lwd = 2)
+#> flapper::coa_setup_delta_t() called (@ 2023-02-19 14:53:07)... 
+#> ... Calculating detection statistics across time intervals.... 
+#> ... Implementing method 1... 
+#> ... ... Using implementation = 1L... 
+#> ... Implementing method 2... 
+#> ... ... Using implementation = 1L... 
+
+#> ... flapper::coa_setup_delta_t() call completed (@ 2023-02-19 14:53:07) after ~0 minutes. 
+graphics::par(pp)
+
+#### Example (4) Compare multiple delta_t values
+pp <- graphics::par(mfrow = c(3, 2))
+delta_t_opts <- c("6 hours", "12 hours", "24 hours")
+lapply(delta_t_opts, function(delta_t){
+  coa_setup_delta_t(acoustics = dat_acoustics[dat_acoustics$individual_id == 25, ],
+                    delta_t = delta_t,
+                    method = 1:2L,
+                    implementation = 2L,
+                    moorings = dat_moorings,
+                    main = delta_t, col = "royalblue")
+})
+#> flapper::coa_setup_delta_t() called (@ 2023-02-19 14:53:07)... 
+#> ... Calculating the number of operational receivers through time for implementation = 2L... 
+#> ... Calculating detection statistics across time intervals.... 
+#> ... Implementing method 1... 
+#> ... ... Using implementation = 2L... 
+#> ... Implementing method 2... 
+#> ... ... Using implementation = 2L... 
+#> ... flapper::coa_setup_delta_t() call completed (@ 2023-02-19 14:53:09) after ~0.03 minutes. 
+#> flapper::coa_setup_delta_t() called (@ 2023-02-19 14:53:09)... 
+#> ... Calculating the number of operational receivers through time for implementation = 2L... 
+#> ... Calculating detection statistics across time intervals.... 
+#> ... Implementing method 1... 
+#> ... ... Using implementation = 2L... 
+#> ... Implementing method 2... 
+#> ... ... Using implementation = 2L... 
+#> ... flapper::coa_setup_delta_t() call completed (@ 2023-02-19 14:53:10) after ~0.02 minutes. 
+#> flapper::coa_setup_delta_t() called (@ 2023-02-19 14:53:10)... 
+#> ... Calculating the number of operational receivers through time for implementation = 2L... 
+#> ... Calculating detection statistics across time intervals.... 
+#> ... Implementing method 1... 
+#> ... ... Using implementation = 2L... 
+#> ... Implementing method 2... 
+#> ... ... Using implementation = 2L... 
+
+#> ... flapper::coa_setup_delta_t() call completed (@ 2023-02-19 14:53:11) after ~0.01 minutes. 
+#> [[1]]
+#> [[1]]$data
+#> [[1]]$data$m1_i1
+#> NULL
+#> 
+#> [[1]]$data$m1_i2
+#>    pc_receiver_with_detections    pc_of_ts
+#> 1                     0.000000 73.35600907
+#> 2                     4.347826  4.93197279
+#> 3                     4.545455  1.87074830
+#> 4                     4.761905  0.28344671
+#> 5                     5.000000  3.45804989
+#> 6                     5.555556  4.36507937
+#> 7                     5.882353  4.36507937
+#> 8                     6.250000  0.68027211
+#> 9                     7.142857  0.62358277
+#> 10                    8.333333  0.28344671
+#> 11                    8.695652  0.22675737
+#> 12                    9.090909  0.17006803
+#> 13                   10.000000  1.64399093
+#> 14                   11.111111  0.73696145
+#> 15                   11.764706  1.19047619
+#> 16                   12.500000  0.17006803
+#> 17                   14.285714  0.34013605
+#> 18                   15.000000  0.45351474
+#> 19                   16.666667  0.22675737
+#> 20                   17.647059  0.22675737
+#> 21                   20.000000  0.39682540
+#> 22                   25.000000  0.05668934
+#> 
+#> [[1]]$data$m2_i1
+#> NULL
+#> 
+#> [[1]]$data$m2_i2
+#>     pc_detections_per_receiver    pc_of_ts
+#> 1                   0.00000000 73.29931973
+#> 2                   0.04347826  0.11337868
+#> 3                   0.05555556  0.17006803
+#> 4                   0.05882353  0.17006803
+#> 5                   0.07142857  0.11337868
+#> 6                   0.08333333  0.11337868
+#> 7                   0.08695652  0.11337868
+#> 8                   0.09090909  0.17006803
+#> 9                   0.10000000  0.51020408
+#> 10                  0.11111111  0.28344671
+#> 11                  0.11764706  0.28344671
+#> 12                  0.12500000  0.05668934
+#> 13                  0.13043478  0.39682540
+#> 14                  0.13636364  0.11337868
+#> 15                  0.16666667  0.28344671
+#> 16                  0.17391304  0.51020408
+#> 17                  0.17647059  0.28344671
+#> 18                  0.18181818  0.05668934
+#> 19                  0.19047619  0.05668934
+#> 20                  0.20000000  0.05668934
+#> 21                  0.21739130  0.28344671
+#> 22                  0.22222222  0.11337868
+#> 23                  0.22727273  0.11337868
+#> 24                  0.23529412  0.22675737
+#> 25                  0.25000000  0.28344671
+#> 26                  0.26086957  0.11337868
+#> 27                  0.27272727  0.17006803
+#> 28                  0.27777778  0.28344671
+#> 29                  0.29411765  0.11337868
+#> 30                  0.30000000  0.39682540
+#> 31                  0.30434783  0.11337868
+#> 32                  0.31818182  0.11337868
+#> 33                  0.33333333  0.17006803
+#> 34                  0.34782609  0.22675737
+#> 35                  0.35000000  0.05668934
+#> 36                  0.35294118  0.51020408
+#> 37                  0.36363636  0.11337868
+#> 38                  0.37500000  0.05668934
+#> 39                  0.39130435  0.17006803
+#> 40                  0.40000000  0.17006803
+#> 41                  0.40909091  0.28344671
+#> 42                  0.41176471  0.22675737
+#> 43                  0.42857143  0.11337868
+#> 44                  0.43478261  0.11337868
+#> 45                  0.43750000  0.05668934
+#> 46                  0.44444444  0.34013605
+#> 47                  0.45000000  0.17006803
+#> 48                  0.45454545  0.05668934
+#> 49                  0.47058824  0.22675737
+#> 50                  0.47826087  0.17006803
+#> 51                  0.50000000  0.39682540
+#> 52                  0.52173913  0.39682540
+#> 53                  0.52941176  0.34013605
+#> 54                  0.55000000  0.11337868
+#> 55                  0.55555556  0.11337868
+#> 56                  0.56521739  0.05668934
+#> 57                  0.57142857  0.11337868
+#> 58                  0.58823529  0.05668934
+#> 59                  0.59090909  0.17006803
+#> 60                  0.60000000  0.11337868
+#> 61                  0.60869565  0.17006803
+#> 62                  0.61111111  0.22675737
+#> 63                  0.62500000  0.05668934
+#> 64                  0.63636364  0.11337868
+#> 65                  0.64705882  0.11337868
+#> 66                  0.65000000  0.22675737
+#> 67                  0.65217391  0.22675737
+#> 68                  0.66666667  0.11337868
+#> 69                  0.68181818  0.05668934
+#> 70                  0.69565217  0.05668934
+#> 71                  0.70000000  0.34013605
+#> 72                  0.70588235  0.22675737
+#> 73                  0.72222222  0.11337868
+#> 74                  0.73913043  0.05668934
+#> 75                  0.75000000  0.17006803
+#> 76                  0.76470588  0.11337868
+#> 77                  0.77777778  0.11337868
+#> 78                  0.78260870  0.11337868
+#> 79                  0.78571429  0.11337868
+#> 80                  0.82352941  0.11337868
+#> 81                  0.82608696  0.28344671
+#> 82                  0.83333333  0.11337868
+#> 83                  0.85000000  0.05668934
+#> 84                  0.85714286  0.05668934
+#> 85                  0.86363636  0.05668934
+#> 86                  0.86956522  0.17006803
+#> 87                  0.87500000  0.05668934
+#> 88                  0.88888889  0.11337868
+#> 89                  0.90000000  0.11337868
+#> 90                  0.91304348  0.17006803
+#> 91                  0.93750000  0.05668934
+#> 92                  0.94117647  0.11337868
+#> 93                  0.94444444  0.11337868
+#> 94                  0.95000000  0.11337868
+#> 95                  0.95454545  0.05668934
+#> 96                  1.00000000  0.28344671
+#> 97                  1.04347826  0.05668934
+#> 98                  1.05000000  0.11337868
+#> 99                  1.05555556  0.11337868
+#> 100                 1.05882353  0.22675737
+#> 101                 1.06250000  0.05668934
+#> 102                 1.09523810  0.05668934
+#> 103                 1.10000000  0.17006803
+#> 104                 1.11111111  0.17006803
+#> 105                 1.11764706  0.11337868
+#> 106                 1.12500000  0.05668934
+#> 107                 1.15000000  0.05668934
+#> 108                 1.17391304  0.05668934
+#> 109                 1.17647059  0.05668934
+#> 110                 1.22222222  0.17006803
+#> 111                 1.23529412  0.05668934
+#> 112                 1.25000000  0.05668934
+#> 113                 1.26086957  0.05668934
+#> 114                 1.27272727  0.05668934
+#> 115                 1.27777778  0.05668934
+#> 116                 1.30000000  0.05668934
+#> 117                 1.30434783  0.11337868
+#> 118                 1.33333333  0.17006803
+#> 119                 1.35294118  0.11337868
+#> 120                 1.39130435  0.05668934
+#> 121                 1.40000000  0.11337868
+#> 122                 1.41176471  0.05668934
+#> 123                 1.44444444  0.05668934
+#> 124                 1.47058824  0.11337868
+#> 125                 1.47826087  0.05668934
+#> 126                 1.50000000  0.11337868
+#> 127                 1.52173913  0.11337868
+#> 128                 1.52941176  0.05668934
+#> 129                 1.55555556  0.05668934
+#> 130                 1.56521739  0.05668934
+#> 131                 1.58823529  0.05668934
+#> 132                 1.60000000  0.05668934
+#> 133                 1.60869565  0.05668934
+#> 134                 1.61111111  0.11337868
+#> 135                 1.64285714  0.05668934
+#> 136                 1.65000000  0.11337868
+#> 137                 1.70588235  0.17006803
+#> 138                 1.73913043  0.05668934
+#> 139                 1.75000000  0.05668934
+#> 140                 1.76470588  0.05668934
+#> 141                 1.80000000  0.05668934
+#> 142                 1.81250000  0.05668934
+#> 143                 1.88235294  0.05668934
+#> 144                 1.88888889  0.05668934
+#> 145                 1.90000000  0.05668934
+#> 146                 1.92857143  0.11337868
+#> 147                 1.93750000  0.05668934
+#> 148                 1.94444444  0.11337868
+#> 149                 1.95652174  0.05668934
+#> 150                 2.04545455  0.05668934
+#> 151                 2.05000000  0.11337868
+#> 152                 2.10000000  0.05668934
+#> 153                 2.14285714  0.05668934
+#> 154                 2.16666667  0.05668934
+#> 155                 2.18181818  0.05668934
+#> 156                 2.21739130  0.05668934
+#> 157                 2.22727273  0.05668934
+#> 158                 2.27272727  0.05668934
+#> 159                 2.27777778  0.11337868
+#> 160                 2.29411765  0.11337868
+#> 161                 2.30000000  0.05668934
+#> 162                 2.35000000  0.05668934
+#> 163                 2.35294118  0.17006803
+#> 164                 2.38888889  0.05668934
+#> 165                 2.41176471  0.05668934
+#> 166                 2.43478261  0.05668934
+#> 167                 2.45000000  0.05668934
+#> 168                 2.47058824  0.05668934
+#> 169                 2.50000000  0.05668934
+#> 170                 2.55000000  0.05668934
+#> 171                 2.55555556  0.11337868
+#> 172                 2.58823529  0.05668934
+#> 173                 2.61111111  0.05668934
+#> 174                 2.65217391  0.05668934
+#> 175                 2.66666667  0.05668934
+#> 176                 2.75000000  0.05668934
+#> 177                 2.76470588  0.05668934
+#> 178                 2.80952381  0.05668934
+#> 179                 2.86956522  0.05668934
+#> 180                 2.88888889  0.05668934
+#> 181                 2.90000000  0.05668934
+#> 182                 2.94444444  0.05668934
+#> 183                 3.00000000  0.17006803
+#> 184                 3.05000000  0.05668934
+#> 185                 3.05555556  0.05668934
+#> 186                 3.10000000  0.05668934
+#> 187                 3.11111111  0.05668934
+#> 188                 3.14285714  0.05668934
+#> 189                 3.17647059  0.05668934
+#> 190                 3.20000000  0.05668934
+#> 191                 3.23529412  0.05668934
+#> 192                 3.27777778  0.05668934
+#> 193                 3.35000000  0.05668934
+#> 194                 3.35294118  0.05668934
+#> 195                 3.45000000  0.05668934
+#> 196                 3.47058824  0.05668934
+#> 197                 3.50000000  0.05668934
+#> 198                 3.55555556  0.11337868
+#> 199                 3.61111111  0.05668934
+#> 200                 3.66666667  0.05668934
+#> 201                 3.76470588  0.05668934
+#> 202                 3.78571429  0.05668934
+#> 203                 3.80000000  0.05668934
+#> 204                 3.88235294  0.05668934
+#> 205                 3.90000000  0.05668934
+#> 206                 4.00000000  0.11337868
+#> 207                 4.05000000  0.05668934
+#> 208                 4.23529412  0.05668934
+#> 209                 4.29411765  0.05668934
+#> 210                 4.43478261  0.05668934
+#> 211                 4.43750000  0.05668934
+#> 212                 4.52941176  0.05668934
+#> 213                 4.57142857  0.05668934
+#> 214                 4.58823529  0.05668934
+#> 215                 4.77777778  0.11337868
+#> 216                 4.90000000  0.05668934
+#> 217                 4.94117647  0.05668934
+#> 218                 5.05882353  0.05668934
+#> 219                 5.08695652  0.05668934
+#> 220                 5.25000000  0.05668934
+#> 221                 5.35294118  0.05668934
+#> 222                 5.68750000  0.05668934
+#> 223                 5.70000000  0.05668934
+#> 224                 5.90000000  0.05668934
+#> 225                 5.94117647  0.05668934
+#> 226                 6.05000000  0.05668934
+#> 227                 6.10000000  0.05668934
+#> 228                 6.11111111  0.05668934
+#> 229                 6.38888889  0.05668934
+#> 230                 6.45000000  0.05668934
+#> 231                 6.50000000  0.05668934
+#> 232                 6.75000000  0.05668934
+#> 233                 6.85714286  0.05668934
+#> 234                 6.90000000  0.11337868
+#> 235                 7.11111111  0.05668934
+#> 236                 7.35294118  0.05668934
+#> 237                 7.77777778  0.05668934
+#> 238                 7.78571429  0.05668934
+#> 239                 8.11111111  0.05668934
+#> 240                 8.37500000  0.05668934
+#> 241                 8.58823529  0.05668934
+#> 242                 9.05000000  0.05668934
+#> 243                 9.21428571  0.05668934
+#> 244                 9.22222222  0.05668934
+#> 245                 9.37500000  0.05668934
+#> 246                14.00000000  0.05668934
+#> 
+#> 
+#> [[1]]$args
+#> [[1]]$args$acoustics
+#>       individual_id transmitter_id index           timestamp receiver_id
+#> 1                25   A69-1303-555     1 2016-03-17 01:50:00          26
+#> 2                25   A69-1303-555     2 2016-03-17 01:52:00          26
+#> 3                25   A69-1303-555     4 2016-03-17 01:54:00          26
+#> 4                25   A69-1303-555     5 2016-03-17 01:58:00          26
+#> 5                25   A69-1303-555     7 2016-03-17 02:00:00          26
+#> 6                25   A69-1303-555     8 2016-03-17 02:04:00          26
+#> 7                25   A69-1303-555     9 2016-03-17 02:06:00          26
+#> 8                25   A69-1303-555    10 2016-03-17 02:08:00          26
+#> 9                25   A69-1303-555    12 2016-03-17 02:10:00          26
+#> 10               25   A69-1303-555    14 2016-03-17 02:12:00          26
+#> 11               25   A69-1303-555    15 2016-03-17 02:14:00          26
+#> 12               25   A69-1303-555    17 2016-03-17 02:16:00          26
+#> 13               25   A69-1303-555    19 2016-03-17 02:18:00          26
+#> 14               25   A69-1303-555    21 2016-03-17 02:20:00          26
+#> 15               25   A69-1303-555    22 2016-03-17 02:22:00          26
+#> 16               25   A69-1303-555    23 2016-03-17 02:24:00          26
+#> 17               25   A69-1303-555    24 2016-03-17 02:30:00          26
+#> 18               25   A69-1303-555    25 2016-03-17 02:32:00          26
+#> 19               25   A69-1303-555    26 2016-03-17 02:52:00          21
+#> 20               25   A69-1303-555    27 2016-03-17 02:54:00          26
+#> 21               25   A69-1303-555    28 2016-03-17 02:56:00          26
+#> 22               25   A69-1303-555    29 2016-03-17 02:56:00          21
+#> 23               25   A69-1303-555    31 2016-03-17 02:58:00          21
+#> 24               25   A69-1303-555    33 2016-03-17 03:00:00          21
+#> 25               25   A69-1303-555    34 2016-03-17 03:02:00          21
+#> 26               25   A69-1303-555    35 2016-03-17 03:04:00          21
+#> 27               25   A69-1303-555    37 2016-03-17 03:06:00          21
+#> 28               25   A69-1303-555    39 2016-03-17 03:08:00          21
+#> 29               25   A69-1303-555    42 2016-03-17 03:10:00          21
+#> 30               25   A69-1303-555    44 2016-03-17 03:12:00          21
+#> 31               25   A69-1303-555    46 2016-03-17 03:16:00          21
+#> 32               25   A69-1303-555    48 2016-03-17 03:18:00          21
+#> 33               25   A69-1303-555    49 2016-03-17 03:20:00          21
+#> 34               25   A69-1303-555    51 2016-03-17 03:22:00          21
+#> 35               25   A69-1303-555    54 2016-03-17 03:24:00          21
+#> 36               25   A69-1303-555    55 2016-03-17 03:26:00          21
+#> 37               25   A69-1303-555    57 2016-03-17 03:28:00          21
+#> 38               25   A69-1303-555    59 2016-03-17 03:30:00          21
+#> 39               25   A69-1303-555    60 2016-03-17 03:32:00          21
+#> 40               25   A69-1303-555    62 2016-03-17 03:36:00          21
+#> 41               25   A69-1303-555    64 2016-03-17 03:38:00          21
+#> 42               25   A69-1303-555    66 2016-03-17 03:40:00          21
+#> 43               25   A69-1303-555    67 2016-03-17 03:42:00          26
+#> 44               25   A69-1303-555    68 2016-03-17 03:44:00          26
+#> 45               25   A69-1303-555    69 2016-03-17 03:46:00          26
+#> 46               25   A69-1303-555    71 2016-03-17 03:48:00          26
+#> 47               25   A69-1303-555    73 2016-03-17 03:50:00          26
+#> 48               25   A69-1303-555    74 2016-03-17 03:54:00          26
+#> 49               25   A69-1303-555    75 2016-03-17 04:04:00          26
+#> 50               25   A69-1303-555    77 2016-03-17 04:06:00          26
+#> 51               25   A69-1303-555    78 2016-03-17 04:08:00          26
+#> 52               25   A69-1303-555    79 2016-03-17 04:08:00          21
+#> 53               25   A69-1303-555    80 2016-03-17 04:12:00          21
+#> 54               25   A69-1303-555    81 2016-03-17 04:32:00          26
+#> 55               25   A69-1303-555    82 2016-03-17 04:34:00          26
+#> 56               25   A69-1303-555    83 2016-03-17 04:38:00          26
+#> 57               25   A69-1303-555    84 2016-03-17 04:44:00          26
+#> 58               25   A69-1303-555    85 2016-03-17 04:48:00          26
+#> 59               25   A69-1303-555    86 2016-03-17 04:50:00          26
+#> 60               25   A69-1303-555    87 2016-03-17 04:54:00          26
+#> 61               25   A69-1303-555    88 2016-03-17 04:56:00          26
+#> 62               25   A69-1303-555    90 2016-03-17 04:58:00          26
+#> 63               25   A69-1303-555    92 2016-03-17 05:00:00          26
+#> 64               25   A69-1303-555    94 2016-03-17 05:02:00          26
+#> 65               25   A69-1303-555    96 2016-03-17 05:04:00          26
+#> 66               25   A69-1303-555    97 2016-03-17 05:06:00          26
+#> 67               25   A69-1303-555    99 2016-03-17 05:06:00          31
+#> 68               25   A69-1303-555   100 2016-03-17 05:08:00          26
+#> 69               25   A69-1303-555   102 2016-03-17 05:10:00          31
+#> 70               25   A69-1303-555   103 2016-03-17 05:10:00          26
+#> 71               25   A69-1303-555   105 2016-03-17 05:12:00          26
+#> 72               25   A69-1303-555   107 2016-03-17 05:14:00          26
+#> 73               25   A69-1303-555   109 2016-03-17 05:16:00          26
+#> 74               25   A69-1303-555   111 2016-03-17 05:18:00          26
+#> 75               25   A69-1303-555   112 2016-03-17 05:20:00          31
+#> 76               25   A69-1303-555   113 2016-03-17 05:20:00          26
+#> 77               25   A69-1303-555   116 2016-03-17 05:22:00          26
+#> 78               25   A69-1303-555   117 2016-03-17 05:24:00          26
+#> 79               25   A69-1303-555   119 2016-03-17 05:26:00          26
+#> 80               25   A69-1303-555   120 2016-03-17 05:28:00          26
+#> 81               25   A69-1303-555   121 2016-03-17 05:30:00          26
+#> 82               25   A69-1303-555   123 2016-03-17 05:32:00          26
+#> 83               25   A69-1303-555   125 2016-03-17 05:34:00          26
+#> 84               25   A69-1303-555   127 2016-03-17 05:36:00          26
+#> 85               25   A69-1303-555   129 2016-03-17 05:38:00          26
+#> 86               25   A69-1303-555   131 2016-03-17 05:40:00          26
+#> 87               25   A69-1303-555   132 2016-03-17 08:36:00          26
+#> 88               25   A69-1303-555   133 2016-03-17 08:40:00          26
+#> 89               25   A69-1303-555   134 2016-03-17 08:42:00          26
+#> 90               25   A69-1303-555   136 2016-03-17 08:44:00          26
+#> 91               25   A69-1303-555   137 2016-03-17 08:46:00          26
+#> 92               25   A69-1303-555   138 2016-03-17 08:50:00          26
+#> 93               25   A69-1303-555   139 2016-03-17 08:50:00          31
+#> 94               25   A69-1303-555   142 2016-03-17 08:52:00          26
+#> 95               25   A69-1303-555   144 2016-03-17 08:52:00          31
+#> 96               25   A69-1303-555   146 2016-03-17 08:54:00          31
+#> 97               25   A69-1303-555   147 2016-03-17 08:54:00          26
+#> 98               25   A69-1303-555   148 2016-03-17 08:58:00          31
+#> 99               25   A69-1303-555   149 2016-03-17 08:58:00          26
+#> 100              25   A69-1303-555   151 2016-03-17 09:00:00          26
+#> 101              25   A69-1303-555   152 2016-03-17 09:00:00          31
+#> 102              25   A69-1303-555   154 2016-03-17 09:02:00          26
+#> 103              25   A69-1303-555   155 2016-03-21 21:06:00          26
+#> 104              25   A69-1303-555   156 2016-03-21 21:08:00          26
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+#> 1869             25   A69-1303-555  2952 2016-06-04 01:20:00          14
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+#> 1883             25   A69-1303-555  2976 2016-06-04 01:54:00          14
+#> 1884             25   A69-1303-555  2978 2016-06-04 01:56:00          14
+#> 1885             25   A69-1303-555  2980 2016-06-04 01:58:00          14
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+#> 1894             25   A69-1303-555  2996 2016-06-04 02:20:00          14
+#> 1895             25   A69-1303-555  2997 2016-06-04 02:22:00          14
+#> 1896             25   A69-1303-555  3000 2016-06-04 02:24:00          14
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+#> 1906             25   A69-1303-555  3014 2016-06-04 03:26:00          14
+#> 1907             25   A69-1303-555  3016 2016-06-04 03:28:00          14
+#> 1908             25   A69-1303-555  3017 2016-06-04 03:30:00          14
+#> 1909             25   A69-1303-555  3018 2016-06-04 03:56:00          14
+#> 1910             25   A69-1303-555  3019 2016-06-04 03:58:00          14
+#> 1911             25   A69-1303-555  3021 2016-06-04 04:00:00          14
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+#> 1913             25   A69-1303-555  3023 2016-06-04 04:04:00          14
+#> 1914             25   A69-1303-555  3025 2016-06-04 04:06:00          14
+#> 1915             25   A69-1303-555  3027 2016-06-04 04:08:00          14
+#> 1916             25   A69-1303-555  3029 2016-06-04 04:10:00          14
+#> 1917             25   A69-1303-555  3030 2016-06-04 04:12:00          14
+#> 1918             25   A69-1303-555  3031 2016-06-04 04:16:00          14
+#> 1919             25   A69-1303-555  3034 2016-06-04 04:24:00          14
+#> 1920             25   A69-1303-555  3035 2016-06-04 04:26:00          14
+#> 1921             25   A69-1303-555  3037 2016-06-04 04:28:00          14
+#> 1922             25   A69-1303-555  3038 2016-06-04 04:32:00          14
+#> 1923             25   A69-1303-555  3039 2016-06-04 04:34:00          14
+#> 1924             25   A69-1303-555  3040 2016-06-04 04:38:00          14
+#> 1925             25   A69-1303-555  3042 2016-06-04 04:40:00          14
+#> 1926             25   A69-1303-555  3044 2016-06-04 04:42:00          14
+#> 1927             25   A69-1303-555  3045 2016-06-04 04:44:00          14
+#> 1928             25   A69-1303-555  3047 2016-06-04 04:46:00          14
+#> 1929             25   A69-1303-555  3049 2016-06-04 04:48:00          14
+#> 1930             25   A69-1303-555  3050 2016-06-04 04:50:00          14
+#> 1931             25   A69-1303-555  3052 2016-06-04 04:52:00          14
+#> 1932             25   A69-1303-555  3054 2016-06-04 04:54:00          14
+#> 1933             25   A69-1303-555  3055 2016-06-04 04:56:00          14
+#> 1934             25   A69-1303-555  3057 2016-06-04 04:58:00          14
+#> 1935             25   A69-1303-555  3059 2016-06-04 05:00:00          14
+#> 1936             25   A69-1303-555  3061 2016-06-04 05:02:00          14
+#> 1937             25   A69-1303-555  3063 2016-06-04 05:04:00          14
+#> 1938             25   A69-1303-555  3065 2016-06-04 05:08:00          14
+#> 1939             25   A69-1303-555  3066 2016-06-04 05:16:00          14
+#> 1940             25   A69-1303-555  3068 2016-06-04 07:00:00          14
+#> 1941             25   A69-1303-555  3069 2016-06-04 07:04:00          14
+#> 1942             25   A69-1303-555  3071 2016-06-04 07:06:00          14
+#> 1943             25   A69-1303-555  3072 2016-06-04 07:10:00          14
+#> 1944             25   A69-1303-555  3075 2016-06-04 07:12:00          14
+#> 1945             25   A69-1303-555  3076 2016-06-04 07:14:00          14
+#> 1946             25   A69-1303-555  3078 2016-06-04 07:18:00          14
+#> 1947             25   A69-1303-555  3079 2016-06-04 10:26:00          14
+#> 1948             25   A69-1303-555  3080 2016-06-04 10:34:00          14
+#> 1949             25   A69-1303-555  3081 2016-06-04 10:40:00          14
+#> 1950             25   A69-1303-555  3082 2016-06-04 11:08:00          14
+#> 1951             25   A69-1303-555  3083 2016-06-04 11:10:00          14
+#> 1952             25   A69-1303-555  3084 2016-06-04 11:24:00          14
+#> 1953             25   A69-1303-555  3085 2016-06-04 11:38:00          14
+#> 1954             25   A69-1303-555  3086 2016-06-04 12:02:00          14
+#> 1955             25   A69-1303-555  3087 2016-06-04 18:46:00          14
+#> 1956             25   A69-1303-555  3088 2016-06-04 18:48:00          14
+#> 1957             25   A69-1303-555  3089 2016-06-04 19:14:00          14
+#> 1958             25   A69-1303-555  3090 2016-06-04 19:16:00          14
+#> 1959             25   A69-1303-555  3091 2016-06-07 09:50:00          14
+#> 1960             25   A69-1303-555  3092 2016-06-07 09:58:00          14
+#> 1961             25   A69-1303-555  3093 2016-06-07 10:08:00          14
+#> 1962             25   A69-1303-555  3094 2016-06-07 10:10:00          14
+#> 1963             25   A69-1303-555  3095 2016-06-07 10:14:00          14
+#> 1964             25   A69-1303-555  3096 2016-06-07 10:56:00          14
+#> 1965             25   A69-1303-555  3097 2016-06-07 10:58:00          14
+#> 1966             25   A69-1303-555  3098 2016-06-07 11:10:00          14
+#> 1967             25   A69-1303-555  3100 2016-06-07 11:14:00          14
+#> 1968             25   A69-1303-555  3103 2016-06-07 11:16:00          14
+#> 1969             25   A69-1303-555  3104 2016-06-07 11:22:00          14
+#> 1970             25   A69-1303-555  3105 2016-06-07 11:26:00          14
+#> 1971             25   A69-1303-555  3106 2016-06-07 11:28:00          14
+#> 1972             25   A69-1303-555  3108 2016-06-07 11:30:00          14
+#> 1973             25   A69-1303-555  3109 2016-06-07 11:32:00          14
+#> 1974             25   A69-1303-555  3111 2016-06-07 11:34:00          14
+#> 1975             25   A69-1303-555  3112 2016-06-07 11:36:00          14
+#> 1976             25   A69-1303-555  3113 2016-06-07 11:42:00          14
+#> 1977             25   A69-1303-555  3114 2016-06-07 11:44:00          14
+#> 1978             25   A69-1303-555  3115 2016-06-07 11:48:00          14
+#> 1979             25   A69-1303-555  3116 2016-06-07 11:52:00          14
+#> 1980             25   A69-1303-555  3117 2016-06-07 11:54:00          14
+#> 1981             25   A69-1303-555  3118 2016-06-07 12:04:00          14
+#> 1982             25   A69-1303-555  3119 2016-06-07 12:06:00          14
+#> 1983             25   A69-1303-555  3121 2016-06-07 12:14:00          14
+#> 1984             25   A69-1303-555  3122 2016-06-07 12:16:00          14
+#> 1985             25   A69-1303-555  3124 2016-06-07 12:18:00          14
+#> 1986             25   A69-1303-555  3125 2016-06-07 12:20:00          14
+#> 1987             25   A69-1303-555  3126 2016-06-07 12:24:00          14
+#> 1988             25   A69-1303-555  3127 2016-06-07 12:32:00          14
+#> 1989             25   A69-1303-555  3128 2016-06-07 12:36:00          14
+#> 1990             25   A69-1303-555  3130 2016-06-07 12:38:00          14
+#> 1991             25   A69-1303-555  3132 2016-06-07 12:40:00          14
+#> 1992             25   A69-1303-555  3133 2016-06-07 12:42:00          14
+#> 1993             25   A69-1303-555  3135 2016-06-07 12:46:00          14
+#> 1994             25   A69-1303-555  3136 2016-06-07 12:48:00          14
+#> 1995             25   A69-1303-555  3138 2016-06-07 12:50:00          14
+#> 1996             25   A69-1303-555  3140 2016-06-07 12:52:00          14
+#> 1997             25   A69-1303-555  3142 2016-06-07 12:54:00          14
+#> 1998             25   A69-1303-555  3144 2016-06-07 12:56:00          14
+#> 1999             25   A69-1303-555  3146 2016-06-07 12:58:00          14
+#> 2000             25   A69-1303-555  3149 2016-06-07 13:00:00          14
+#> 2001             25   A69-1303-555  3151 2016-06-07 13:02:00          14
+#> 2002             25   A69-1303-555  3153 2016-06-07 13:04:00          14
+#> 2003             25   A69-1303-555  3154 2016-06-07 13:06:00          14
+#> 2004             25   A69-1303-555  3156 2016-06-07 13:08:00          14
+#> 2005             25   A69-1303-555  3158 2016-06-07 13:10:00          14
+#> 2006             25   A69-1303-555  3159 2016-06-07 13:12:00          14
+#> 2007             25   A69-1303-555  3160 2016-06-07 13:14:00          14
+#> 2008             25   A69-1303-555  3162 2016-06-07 13:16:00          14
+#> 2009             25   A69-1303-555  3163 2016-06-07 13:28:00          14
+#> 2010             25   A69-1303-555  3164 2016-06-07 13:32:00          14
+#> 2011             25   A69-1303-555  3165 2016-06-07 13:40:00          14
+#> 2012             25   A69-1303-555  3167 2016-06-07 13:42:00          14
+#> 2013             25   A69-1303-555  3168 2016-06-07 13:44:00          14
+#> 2014             25   A69-1303-555  3169 2016-06-07 13:48:00          14
+#> 2015             25   A69-1303-555  3170 2016-06-07 13:50:00          14
+#> 2016             25   A69-1303-555  3171 2016-06-07 14:00:00          14
+#> 2017             25   A69-1303-555  3172 2016-06-07 14:02:00          14
+#> 2018             25   A69-1303-555  3173 2016-06-07 14:04:00          14
+#> 2019             25   A69-1303-555  3175 2016-06-07 14:06:00          14
+#> 2020             25   A69-1303-555  3177 2016-06-07 14:08:00          14
+#> 2021             25   A69-1303-555  3179 2016-06-07 14:10:00          14
+#> 2022             25   A69-1303-555  3180 2016-06-07 14:12:00          14
+#> 2023             25   A69-1303-555  3182 2016-06-07 14:14:00          14
+#> 2024             25   A69-1303-555  3184 2016-06-07 14:16:00          14
+#> 2025             25   A69-1303-555  3185 2016-06-07 14:18:00          14
+#> 2026             25   A69-1303-555  3187 2016-06-07 14:20:00          14
+#> 2027             25   A69-1303-555  3189 2016-06-07 14:22:00          14
+#> 2028             25   A69-1303-555  3191 2016-06-07 14:24:00          14
+#> 2029             25   A69-1303-555  3193 2016-06-07 14:26:00          14
+#> 2030             25   A69-1303-555  3195 2016-06-07 14:28:00          14
+#> 2031             25   A69-1303-555  3197 2016-06-07 14:30:00          14
+#> 2032             25   A69-1303-555  3198 2016-06-07 14:32:00          14
+#> 2033             25   A69-1303-555  3199 2016-06-07 14:36:00          14
+#> 2034             25   A69-1303-555  3201 2016-06-07 14:38:00          14
+#> 2035             25   A69-1303-555  3203 2016-06-07 14:40:00          14
+#> 2036             25   A69-1303-555  3205 2016-06-07 14:42:00          14
+#> 2037             25   A69-1303-555  3207 2016-06-07 14:44:00          14
+#> 2038             25   A69-1303-555  3209 2016-06-07 14:46:00          14
+#> 2039             25   A69-1303-555  3211 2016-06-07 14:48:00          14
+#> 2040             25   A69-1303-555  3212 2016-06-07 14:50:00          14
+#> 2041             25   A69-1303-555  3213 2016-06-07 14:52:00          14
+#> 2042             25   A69-1303-555  3214 2016-06-07 14:54:00          14
+#> 2043             25   A69-1303-555  3216 2016-06-07 14:56:00          14
+#> 2044             25   A69-1303-555  3218 2016-06-07 14:58:00          14
+#> 2045             25   A69-1303-555  3219 2016-06-07 15:00:00          14
+#> 2046             25   A69-1303-555  3221 2016-06-07 15:02:00          14
+#> 2047             25   A69-1303-555  3223 2016-06-07 15:04:00          14
+#> 2048             25   A69-1303-555  3225 2016-06-07 15:06:00          14
+#> 2049             25   A69-1303-555  3227 2016-06-07 15:08:00          14
+#> 2050             25   A69-1303-555  3228 2016-06-07 15:50:00          14
+#> 2051             25   A69-1303-555  3229 2016-06-07 15:54:00          14
+#> 2052             25   A69-1303-555  3230 2016-06-07 18:54:00          14
+#> 2053             25   A69-1303-555  3232 2016-06-07 18:56:00          14
+#> 2054             25   A69-1303-555  3233 2016-06-07 18:58:00          14
+#> 2055             25   A69-1303-555  3235 2016-06-07 19:00:00          14
+#> 2056             25   A69-1303-555  3237 2016-06-07 19:02:00          14
+#> 2057             25   A69-1303-555  3239 2016-06-07 19:04:00          14
+#> 2058             25   A69-1303-555  3240 2016-06-07 19:06:00          14
+#> 2059             25   A69-1303-555  3241 2016-06-07 19:08:00          14
+#> 2060             25   A69-1303-555  3243 2016-06-07 19:10:00          14
+#> 2061             25   A69-1303-555  3245 2016-06-07 19:12:00          14
+#> 2062             25   A69-1303-555  3246 2016-06-07 19:14:00          14
+#> 2063             25   A69-1303-555  3248 2016-06-07 19:16:00          14
+#> 2064             25   A69-1303-555  3249 2016-06-07 19:18:00          14
+#> 2065             25   A69-1303-555  3250 2016-06-07 19:20:00          14
+#> 2066             25   A69-1303-555  3251 2016-06-07 19:24:00          14
+#> 2067             25   A69-1303-555  3253 2016-06-07 19:26:00          14
+#> 2068             25   A69-1303-555  3254 2016-06-07 19:28:00          14
+#> 2069             25   A69-1303-555  3255 2016-06-07 19:30:00          14
+#> 2070             25   A69-1303-555  3256 2016-06-07 19:32:00          14
+#> 2071             25   A69-1303-555  3258 2016-06-07 19:34:00          14
+#> 2072             25   A69-1303-555  3259 2016-06-07 19:36:00          14
+#> 2073             25   A69-1303-555  3261 2016-06-07 19:38:00          14
+#> 2074             25   A69-1303-555  3263 2016-06-07 19:40:00          14
+#> 2075             25   A69-1303-555  3264 2016-06-07 19:42:00          14
+#> 2076             25   A69-1303-555  3266 2016-06-07 19:44:00          14
+#> 2077             25   A69-1303-555  3267 2016-06-07 19:46:00          14
+#> 2078             25   A69-1303-555  3269 2016-06-07 19:48:00          14
+#> 2079             25   A69-1303-555  3271 2016-06-07 20:06:00          14
+#> 2080             25   A69-1303-555  3272 2016-06-07 20:10:00          14
+#> 2081             25   A69-1303-555  3273 2016-06-07 20:12:00          14
+#> 2082             25   A69-1303-555  3274 2016-06-07 20:14:00          14
+#> 2083             25   A69-1303-555  3276 2016-06-07 20:18:00          14
+#> 2084             25   A69-1303-555  3278 2016-06-07 20:20:00          14
+#> 2085             25   A69-1303-555  3280 2016-06-07 20:22:00          14
+#> 2086             25   A69-1303-555  3281 2016-06-07 20:26:00          14
+#> 2087             25   A69-1303-555  3282 2016-06-07 20:28:00          14
+#> 2088             25   A69-1303-555  3283 2016-06-07 20:34:00          14
+#> 2089             25   A69-1303-555  3285 2016-06-07 20:38:00          14
+#> 2090             25   A69-1303-555  3286 2016-06-07 20:44:00          14
+#> 2091             25   A69-1303-555  3287 2016-06-07 20:48:00          14
+#> 2092             25   A69-1303-555  3288 2016-06-07 20:52:00          14
+#> 2093             25   A69-1303-555  3289 2016-06-07 20:56:00          14
+#> 2094             25   A69-1303-555  3290 2016-06-07 20:58:00          14
+#> 2095             25   A69-1303-555  3292 2016-06-07 21:00:00          14
+#> 2096             25   A69-1303-555  3293 2016-06-07 21:02:00          14
+#> 2097             25   A69-1303-555  3294 2016-06-07 21:06:00          14
+#> 2098             25   A69-1303-555  3295 2016-06-07 21:08:00          14
+#> 2099             25   A69-1303-555  3296 2016-06-07 21:10:00          14
+#> 2100             25   A69-1303-555  3298 2016-06-07 21:12:00          14
+#> 2101             25   A69-1303-555  3300 2016-06-07 21:14:00          14
+#> 2102             25   A69-1303-555  3301 2016-06-07 21:16:00          14
+#> 2103             25   A69-1303-555  3303 2016-06-07 21:18:00          14
+#> 2104             25   A69-1303-555  3304 2016-06-07 21:24:00          14
+#> 2105             25   A69-1303-555  3305 2016-06-07 21:26:00          14
+#> 2106             25   A69-1303-555  3306 2016-06-07 21:28:00          14
+#> 2107             25   A69-1303-555  3308 2016-06-07 21:30:00          14
+#> 2108             25   A69-1303-555  3309 2016-06-07 21:34:00          14
+#> 2109             25   A69-1303-555  3310 2016-06-07 21:36:00          14
+#> 2110             25   A69-1303-555  3311 2016-06-07 21:38:00          14
+#> 2111             25   A69-1303-555  3313 2016-06-07 21:40:00          14
+#> 2112             25   A69-1303-555  3314 2016-06-07 21:42:00          14
+#> 2113             25   A69-1303-555  3315 2016-06-07 21:44:00          14
+#> 2114             25   A69-1303-555  3316 2016-06-07 21:46:00          14
+#> 2115             25   A69-1303-555  3317 2016-06-07 21:48:00          14
+#> 2116             25   A69-1303-555  3318 2016-06-07 21:50:00          14
+#> 2117             25   A69-1303-555  3320 2016-06-07 21:52:00          14
+#> 2118             25   A69-1303-555  3322 2016-06-07 21:54:00          14
+#> 2119             25   A69-1303-555  3323 2016-06-07 21:56:00          14
+#> 2120             25   A69-1303-555  3325 2016-06-07 21:58:00          14
+#> 2121             25   A69-1303-555  3326 2016-06-07 22:00:00          14
+#> 2122             25   A69-1303-555  3327 2016-06-07 22:02:00          14
+#> 2123             25   A69-1303-555  3329 2016-06-07 22:04:00          14
+#> 2124             25   A69-1303-555  3331 2016-06-07 22:06:00          14
+#> 2125             25   A69-1303-555  3333 2016-06-07 22:08:00          14
+#> 2126             25   A69-1303-555  3334 2016-06-07 22:10:00          14
+#> 2127             25   A69-1303-555  3335 2016-06-07 22:12:00          14
+#> 2128             25   A69-1303-555  3337 2016-06-07 22:14:00          14
+#> 2129             25   A69-1303-555  3340 2016-06-07 22:16:00          14
+#> 2130             25   A69-1303-555  3342 2016-06-07 22:18:00          14
+#> 2131             25   A69-1303-555  3344 2016-06-07 22:20:00          14
+#> 2132             25   A69-1303-555  3346 2016-06-07 22:22:00          14
+#> 2133             25   A69-1303-555  3348 2016-06-07 22:24:00          14
+#> 2134             25   A69-1303-555  3350 2016-06-07 22:26:00          14
+#> 2135             25   A69-1303-555  3352 2016-06-07 22:28:00          14
+#> 2136             25   A69-1303-555  3354 2016-06-07 22:30:00          14
+#> 2137             25   A69-1303-555  3357 2016-06-07 22:32:00          14
+#> 2138             25   A69-1303-555  3359 2016-06-07 22:34:00          14
+#> 2139             25   A69-1303-555  3360 2016-06-07 22:36:00          14
+#> 2140             25   A69-1303-555  3362 2016-06-07 22:38:00          14
+#> 2141             25   A69-1303-555  3364 2016-06-07 22:40:00          14
+#> 2142             25   A69-1303-555  3365 2016-06-07 22:42:00          14
+#> 2143             25   A69-1303-555  3367 2016-06-07 22:44:00          14
+#> 2144             25   A69-1303-555  3369 2016-06-07 22:46:00          14
+#> 2145             25   A69-1303-555  3371 2016-06-07 22:48:00          14
+#> 2146             25   A69-1303-555  3372 2016-06-07 22:50:00          14
+#> 2147             25   A69-1303-555  3373 2016-06-07 22:52:00          14
+#> 2148             25   A69-1303-555  3375 2016-06-07 22:54:00          14
+#> 2149             25   A69-1303-555  3377 2016-06-07 22:56:00          14
+#> 2150             25   A69-1303-555  3379 2016-06-07 22:58:00          14
+#> 2151             25   A69-1303-555  3381 2016-06-07 23:00:00          14
+#> 2152             25   A69-1303-555  3384 2016-06-07 23:02:00          14
+#> 2153             25   A69-1303-555  3386 2016-06-07 23:04:00          14
+#> 2154             25   A69-1303-555  3387 2016-06-07 23:06:00          14
+#> 2155             25   A69-1303-555  3389 2016-06-07 23:08:00          14
+#> 2156             25   A69-1303-555  3391 2016-06-07 23:10:00          14
+#> 2157             25   A69-1303-555  3392 2016-06-07 23:12:00          14
+#> 2158             25   A69-1303-555  3394 2016-06-07 23:14:00          14
+#> 2159             25   A69-1303-555  3397 2016-06-07 23:16:00          14
+#> 2160             25   A69-1303-555  3399 2016-06-07 23:18:00          14
+#> 2161             25   A69-1303-555  3400 2016-06-07 23:22:00          14
+#> 2162             25   A69-1303-555  3401 2016-06-07 23:24:00          14
+#> 2163             25   A69-1303-555  3403 2016-06-07 23:26:00          14
+#> 2164             25   A69-1303-555  3405 2016-06-07 23:28:00          14
+#> 2165             25   A69-1303-555  3407 2016-06-07 23:30:00          14
+#> 2166             25   A69-1303-555  3409 2016-06-07 23:32:00          14
+#> 2167             25   A69-1303-555  3410 2016-06-07 23:34:00          14
+#> 2168             25   A69-1303-555  3412 2016-06-07 23:36:00          14
+#> 2169             25   A69-1303-555  3414 2016-06-07 23:38:00          14
+#> 2170             25   A69-1303-555  3416 2016-06-07 23:40:00          14
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+#> 10927            25   A69-1303-555 16721 2017-04-22 03:22:00          48
+#> 10928            25   A69-1303-555 16722 2017-04-22 03:24:00          48
+#> 10929            25   A69-1303-555 16724 2017-04-22 03:26:00          48
+#> 10930            25   A69-1303-555 16726 2017-04-22 03:28:00          48
+#> 10931            25   A69-1303-555 16727 2017-04-22 03:30:00          48
+#> 10932            25   A69-1303-555 16729 2017-04-22 03:32:00          48
+#> 10933            25   A69-1303-555 16730 2017-04-22 03:34:00          48
+#> 10934            25   A69-1303-555 16731 2017-04-22 03:36:00          48
+#> 10935            25   A69-1303-555 16732 2017-04-22 03:38:00          48
+#> 10936            25   A69-1303-555 16733 2017-04-22 03:58:00          49
+#> 10937            25   A69-1303-555 16734 2017-04-22 04:00:00          49
+#> 10938            25   A69-1303-555 16736 2017-04-22 04:02:00          49
+#> 10939            25   A69-1303-555 16738 2017-04-22 04:04:00          49
+#> 10940            25   A69-1303-555 16739 2017-04-22 04:06:00          49
+#> 10941            25   A69-1303-555 16740 2017-04-22 04:08:00          49
+#> 10942            25   A69-1303-555 16742 2017-04-22 04:12:00          49
+#> 10943            25   A69-1303-555 16744 2017-04-22 04:18:00          49
+#> 10944            25   A69-1303-555 16745 2017-04-22 04:20:00          49
+#> 10945            25   A69-1303-555 16746 2017-04-22 04:22:00          49
+#> 10946            25   A69-1303-555 16747 2017-04-22 04:26:00          49
+#> 10947            25   A69-1303-555 16748 2017-04-22 04:28:00          49
+#> 10948            25   A69-1303-555 16749 2017-04-22 04:30:00          49
+#> 10949            25   A69-1303-555 16751 2017-04-22 04:32:00          49
+#> 10950            25   A69-1303-555 16753 2017-04-22 04:34:00          49
+#> 10951            25   A69-1303-555 16754 2017-04-22 04:40:00          49
+#> 10952            25   A69-1303-555 16755 2017-04-22 04:42:00          49
+#> 10953            25   A69-1303-555 16756 2017-04-23 03:44:00          51
+#> 10954            25   A69-1303-555 16757 2017-04-23 03:54:00          51
+#> 10955            25   A69-1303-555 16758 2017-04-23 03:56:00          51
+#> 10956            25   A69-1303-555 16759 2017-04-23 03:58:00          51
+#> 10957            25   A69-1303-555 16761 2017-04-23 04:02:00          51
+#> 10958            25   A69-1303-555 16762 2017-04-23 04:04:00          51
+#> 10959            25   A69-1303-555 16763 2017-04-23 04:10:00          51
+#> 10960            25   A69-1303-555 16764 2017-04-23 04:14:00          51
+#> 10961            25   A69-1303-555 16766 2017-04-23 04:16:00          51
+#> 10962            25   A69-1303-555 16767 2017-04-23 04:18:00          51
+#> 10963            25   A69-1303-555 16769 2017-04-23 04:20:00          51
+#> 10964            25   A69-1303-555 16771 2017-04-23 04:22:00          51
+#> 10965            25   A69-1303-555 16772 2017-04-23 04:26:00          51
+#> 10966            25   A69-1303-555 16774 2017-04-23 04:28:00          51
+#> 10967            25   A69-1303-555 16776 2017-04-23 04:30:00          51
+#> 10968            25   A69-1303-555 16777 2017-04-23 04:32:00          51
+#> 10969            25   A69-1303-555 16779 2017-04-23 04:34:00          51
+#> 10970            25   A69-1303-555 16780 2017-04-23 04:36:00          51
+#> 10971            25   A69-1303-555 16781 2017-04-23 04:38:00          51
+#> 10972            25   A69-1303-555 16782 2017-04-23 04:48:00          51
+#> 10973            25   A69-1303-555 16783 2017-04-23 11:32:00          51
+#> 10974            25   A69-1303-555 16784 2017-04-23 11:34:00          51
+#> 10975            25   A69-1303-555 16785 2017-04-23 13:24:00          51
+#> 10976            25   A69-1303-555 16786 2017-04-23 13:38:00          51
+#> 10977            25   A69-1303-555 16787 2017-04-23 14:18:00          51
+#> 10978            25   A69-1303-555 16788 2017-04-23 14:22:00          51
+#> 10979            25   A69-1303-555 16789 2017-04-23 14:28:00          51
+#> 10980            25   A69-1303-555 16790 2017-04-23 14:36:00          51
+#> 10981            25   A69-1303-555 16791 2017-04-23 14:48:00          51
+#> 10982            25   A69-1303-555 16792 2017-04-23 14:52:00          51
+#> 10983            25   A69-1303-555 16793 2017-04-27 19:56:00          45
+#> 10984            25   A69-1303-555 16794 2017-04-27 19:58:00          45
+#> 10985            25   A69-1303-555 16796 2017-04-27 20:00:00          45
+#> 10986            25   A69-1303-555 16798 2017-04-27 20:02:00          45
+#> 10987            25   A69-1303-555 16799 2017-04-27 20:04:00          45
+#> 10988            25   A69-1303-555 16801 2017-04-27 20:06:00          45
+#> 10989            25   A69-1303-555 16803 2017-04-27 20:08:00          45
+#> 10990            25   A69-1303-555 16804 2017-04-27 20:10:00          45
+#> 10991            25   A69-1303-555 16806 2017-04-27 20:12:00          45
+#> 10992            25   A69-1303-555 16807 2017-04-27 20:14:00          45
+#> 10993            25   A69-1303-555 16808 2017-04-27 20:16:00          45
+#> 10994            25   A69-1303-555 16810 2017-04-27 20:18:00          45
+#> 10995            25   A69-1303-555 16811 2017-04-27 20:20:00          56
+#> 10996            25   A69-1303-555 16812 2017-04-27 20:20:00          45
+#> 10997            25   A69-1303-555 16813 2017-04-27 20:22:00          45
+#> 10998            25   A69-1303-555 16815 2017-04-27 20:22:00          56
+#> 10999            25   A69-1303-555 16816 2017-04-27 20:24:00          45
+#> 11000            25   A69-1303-555 16818 2017-04-27 20:26:00          45
+#> 11001            25   A69-1303-555 16819 2017-04-27 20:28:00          45
+#> 11002            25   A69-1303-555 16821 2017-04-27 20:28:00          56
+#> 11003            25   A69-1303-555 16822 2017-04-27 20:30:00          45
+#> 11004            25   A69-1303-555 16823 2017-04-27 20:30:00          56
+#> 11005            25   A69-1303-555 16824 2017-04-27 20:32:00          45
+#> 11006            25   A69-1303-555 16825 2017-04-27 20:34:00          45
+#> 11007            25   A69-1303-555 16826 2017-04-27 20:40:00          45
+#> 11008            25   A69-1303-555 16828 2017-04-27 20:44:00          45
+#> 11009            25   A69-1303-555 16829 2017-04-27 20:48:00          45
+#> 11010            25   A69-1303-555 16830 2017-04-27 20:50:00          45
+#> 11011            25   A69-1303-555 16832 2017-04-27 20:52:00          45
+#> 11012            25   A69-1303-555 16834 2017-04-27 20:54:00          45
+#> 11013            25   A69-1303-555 16836 2017-04-27 20:56:00          45
+#> 11014            25   A69-1303-555 16837 2017-04-27 20:58:00          45
+#> 11015            25   A69-1303-555 16839 2017-04-27 21:00:00          45
+#> 11016            25   A69-1303-555 16841 2017-04-27 21:02:00          45
+#> 11017            25   A69-1303-555 16842 2017-04-27 21:04:00          45
+#> 11018            25   A69-1303-555 16844 2017-04-27 21:06:00          45
+#> 11019            25   A69-1303-555 16846 2017-04-27 21:08:00          45
+#> 11020            25   A69-1303-555 16848 2017-04-27 21:10:00          45
+#> 11021            25   A69-1303-555 16849 2017-04-27 21:12:00          45
+#> 11022            25   A69-1303-555 16851 2017-04-27 21:14:00          45
+#> 11023            25   A69-1303-555 16854 2017-04-27 21:16:00          45
+#> 11024            25   A69-1303-555 16855 2017-04-27 21:18:00          45
+#> 11025            25   A69-1303-555 16857 2017-04-27 21:20:00          45
+#> 11026            25   A69-1303-555 16859 2017-04-27 21:22:00          45
+#> 11027            25   A69-1303-555 16860 2017-04-27 21:24:00          45
+#> 11028            25   A69-1303-555 16863 2017-04-27 21:26:00          45
+#> 11029            25   A69-1303-555 16865 2017-04-27 21:28:00          45
+#> 11030            25   A69-1303-555 16867 2017-04-27 21:30:00          45
+#> 11031            25   A69-1303-555 16868 2017-04-27 21:32:00          45
+#> 11032            25   A69-1303-555 16871 2017-04-27 21:38:00          45
+#> 11033            25   A69-1303-555 16873 2017-04-27 21:40:00          45
+#> 11034            25   A69-1303-555 16874 2017-04-27 21:42:00          45
+#> 11035            25   A69-1303-555 16876 2017-04-27 21:46:00          45
+#> 11036            25   A69-1303-555 16877 2017-04-27 21:50:00          45
+#> 11037            25   A69-1303-555 16878 2017-04-27 21:52:00          45
+#> 11038            25   A69-1303-555 16879 2017-04-27 21:54:00          45
+#> 11039            25   A69-1303-555 16881 2017-04-27 21:58:00          45
+#> 11040            25   A69-1303-555 16882 2017-04-27 22:00:00          45
+#> 11041            25   A69-1303-555 16884 2017-04-27 22:04:00          45
+#> 11042            25   A69-1303-555 16887 2017-04-27 22:06:00          45
+#> 11043            25   A69-1303-555 16889 2017-04-27 22:08:00          45
+#> 11044            25   A69-1303-555 16890 2017-04-27 22:10:00          45
+#> 11045            25   A69-1303-555 16891 2017-04-27 22:12:00          45
+#> 11046            25   A69-1303-555 16893 2017-04-27 22:14:00          45
+#> 11047            25   A69-1303-555 16895 2017-04-27 22:16:00          45
+#> 11048            25   A69-1303-555 16896 2017-04-27 22:18:00          45
+#> 11049            25   A69-1303-555 16899 2017-04-27 22:20:00          45
+#> 11050            25   A69-1303-555 16900 2017-04-27 22:22:00          45
+#> 11051            25   A69-1303-555 16901 2017-04-27 22:24:00          45
+#> 11052            25   A69-1303-555 16902 2017-04-27 22:26:00          45
+#> 11053            25   A69-1303-555 16904 2017-04-27 22:28:00          45
+#> 11054            25   A69-1303-555 16905 2017-04-27 22:30:00          45
+#> 11055            25   A69-1303-555 16907 2017-04-27 22:32:00          45
+#> 11056            25   A69-1303-555 16909 2017-04-27 22:34:00          45
+#> 11057            25   A69-1303-555 16910 2017-04-27 22:36:00          45
+#> 11058            25   A69-1303-555 16913 2017-04-27 22:38:00          45
+#> 11059            25   A69-1303-555 16915 2017-04-27 22:40:00          45
+#> 11060            25   A69-1303-555 16917 2017-04-27 22:42:00          45
+#> 11061            25   A69-1303-555 16919 2017-04-27 22:44:00          45
+#> 11062            25   A69-1303-555 16921 2017-04-27 22:46:00          45
+#> 11063            25   A69-1303-555 16922 2017-04-27 22:48:00          45
+#> 11064            25   A69-1303-555 16924 2017-04-27 22:50:00          45
+#> 11065            25   A69-1303-555 16926 2017-04-27 22:52:00          45
+#> 11066            25   A69-1303-555 16927 2017-04-27 22:54:00          45
+#> 11067            25   A69-1303-555 16929 2017-04-27 22:56:00          45
+#> 11068            25   A69-1303-555 16930 2017-04-27 22:58:00          45
+#> 11069            25   A69-1303-555 16932 2017-04-27 23:00:00          45
+#> 11070            25   A69-1303-555 16934 2017-04-27 23:02:00          45
+#> 11071            25   A69-1303-555 16937 2017-04-27 23:04:00          45
+#> 11072            25   A69-1303-555 16939 2017-04-27 23:06:00          45
+#> 11073            25   A69-1303-555 16941 2017-04-27 23:08:00          45
+#> 11074            25   A69-1303-555 16943 2017-04-27 23:10:00          45
+#> 11075            25   A69-1303-555 16944 2017-04-27 23:12:00          45
+#> 11076            25   A69-1303-555 16945 2017-04-27 23:14:00          45
+#> 11077            25   A69-1303-555 16948 2017-04-27 23:16:00          45
+#> 11078            25   A69-1303-555 16950 2017-04-27 23:18:00          45
+#> 11079            25   A69-1303-555 16951 2017-04-27 23:20:00          45
+#> 11080            25   A69-1303-555 16953 2017-04-27 23:22:00          45
+#> 11081            25   A69-1303-555 16954 2017-04-27 23:24:00          45
+#> 11082            25   A69-1303-555 16957 2017-04-27 23:26:00          45
+#> 11083            25   A69-1303-555 16958 2017-04-27 23:28:00          45
+#> 11084            25   A69-1303-555 16960 2017-04-27 23:30:00          45
+#> 11085            25   A69-1303-555 16962 2017-04-27 23:32:00          45
+#> 11086            25   A69-1303-555 16963 2017-04-27 23:34:00          45
+#> 11087            25   A69-1303-555 16965 2017-04-27 23:36:00          45
+#> 11088            25   A69-1303-555 16966 2017-04-27 23:38:00          45
+#> 11089            25   A69-1303-555 16968 2017-04-27 23:40:00          45
+#> 11090            25   A69-1303-555 16969 2017-04-27 23:42:00          45
+#> 11091            25   A69-1303-555 16970 2017-04-27 23:46:00          45
+#> 11092            25   A69-1303-555 16971 2017-04-27 23:48:00          56
+#> 11093            25   A69-1303-555 16972 2017-04-27 23:50:00          45
+#> 11094            25   A69-1303-555 16974 2017-04-27 23:52:00          45
+#> 11095            25   A69-1303-555 16976 2017-04-27 23:54:00          45
+#> 11096            25   A69-1303-555 16977 2017-04-27 23:54:00          56
+#> 11097            25   A69-1303-555 16978 2017-04-27 23:56:00          45
+#> 11098            25   A69-1303-555 16979 2017-04-27 23:58:00          45
+#> 11099            25   A69-1303-555 16981 2017-04-28 00:00:00          56
+#> 11100            25   A69-1303-555 16983 2017-04-28 00:02:00          56
+#> 11101            25   A69-1303-555 16984 2017-04-28 00:04:00          45
+#> 11102            25   A69-1303-555 16985 2017-04-28 00:06:00          56
+#> 11103            25   A69-1303-555 16986 2017-04-28 00:08:00          56
+#> 11104            25   A69-1303-555 16987 2017-04-28 00:10:00          45
+#> 11105            25   A69-1303-555 16988 2017-04-28 00:10:00          56
+#> 11106            25   A69-1303-555 16989 2017-04-28 00:12:00          56
+#> 11107            25   A69-1303-555 16990 2017-04-28 00:12:00          45
+#> 11108            25   A69-1303-555 16991 2017-04-28 00:14:00          45
+#> 11109            25   A69-1303-555 16992 2017-04-28 00:16:00          45
+#> 11110            25   A69-1303-555 16993 2017-04-28 00:16:00          56
+#> 11111            25   A69-1303-555 16995 2017-04-28 00:18:00          45
+#>           receiver receiver_long receiver_lat receiver_depth
+#> 1      VR2W-108163     -5.610733     56.37628             25
+#> 2      VR2W-108163     -5.610733     56.37628             25
+#> 3      VR2W-108163     -5.610733     56.37628             25
+#> 4      VR2W-108163     -5.610733     56.37628             25
+#> 5      VR2W-108163     -5.610733     56.37628             25
+#> 6      VR2W-108163     -5.610733     56.37628             25
+#> 7      VR2W-108163     -5.610733     56.37628             25
+#> 8      VR2W-108163     -5.610733     56.37628             25
+#> 9      VR2W-108163     -5.610733     56.37628             25
+#> 10     VR2W-108163     -5.610733     56.37628             25
+#> 11     VR2W-108163     -5.610733     56.37628             25
+#> 12     VR2W-108163     -5.610733     56.37628             25
+#> 13     VR2W-108163     -5.610733     56.37628             25
+#> 14     VR2W-108163     -5.610733     56.37628             25
+#> 15     VR2W-108163     -5.610733     56.37628             25
+#> 16     VR2W-108163     -5.610733     56.37628             25
+#> 17     VR2W-108163     -5.610733     56.37628             25
+#> 18     VR2W-108163     -5.610733     56.37628             25
+#> 19     VR2W-108158     -5.619533     56.37413             25
+#> 20     VR2W-108163     -5.610733     56.37628             25
+#> 21     VR2W-108163     -5.610733     56.37628             25
+#> 22     VR2W-108158     -5.619533     56.37413             25
+#> 23     VR2W-108158     -5.619533     56.37413             25
+#> 24     VR2W-108158     -5.619533     56.37413             25
+#> 25     VR2W-108158     -5.619533     56.37413             25
+#> 26     VR2W-108158     -5.619533     56.37413             25
+#> 27     VR2W-108158     -5.619533     56.37413             25
+#> 28     VR2W-108158     -5.619533     56.37413             25
+#> 29     VR2W-108158     -5.619533     56.37413             25
+#> 30     VR2W-108158     -5.619533     56.37413             25
+#> 31     VR2W-108158     -5.619533     56.37413             25
+#> 32     VR2W-108158     -5.619533     56.37413             25
+#> 33     VR2W-108158     -5.619533     56.37413             25
+#> 34     VR2W-108158     -5.619533     56.37413             25
+#> 35     VR2W-108158     -5.619533     56.37413             25
+#> 36     VR2W-108158     -5.619533     56.37413             25
+#> 37     VR2W-108158     -5.619533     56.37413             25
+#> 38     VR2W-108158     -5.619533     56.37413             25
+#> 39     VR2W-108158     -5.619533     56.37413             25
+#> 40     VR2W-108158     -5.619533     56.37413             25
+#> 41     VR2W-108158     -5.619533     56.37413             25
+#> 42     VR2W-108158     -5.619533     56.37413             25
+#> 43     VR2W-108163     -5.610733     56.37628             25
+#> 44     VR2W-108163     -5.610733     56.37628             25
+#> 45     VR2W-108163     -5.610733     56.37628             25
+#> 46     VR2W-108163     -5.610733     56.37628             25
+#> 47     VR2W-108163     -5.610733     56.37628             25
+#> 48     VR2W-108163     -5.610733     56.37628             25
+#> 49     VR2W-108163     -5.610733     56.37628             25
+#> 50     VR2W-108163     -5.610733     56.37628             25
+#> 51     VR2W-108163     -5.610733     56.37628             25
+#> 52     VR2W-108158     -5.619533     56.37413             25
+#> 53     VR2W-108158     -5.619533     56.37413             25
+#> 54     VR2W-108163     -5.610733     56.37628             25
+#> 55     VR2W-108163     -5.610733     56.37628             25
+#> 56     VR2W-108163     -5.610733     56.37628             25
+#> 57     VR2W-108163     -5.610733     56.37628             25
+#> 58     VR2W-108163     -5.610733     56.37628             25
+#> 59     VR2W-108163     -5.610733     56.37628             25
+#> 60     VR2W-108163     -5.610733     56.37628             25
+#> 61     VR2W-108163     -5.610733     56.37628             25
+#> 62     VR2W-108163     -5.610733     56.37628             25
+#> 63     VR2W-108163     -5.610733     56.37628             25
+#> 64     VR2W-108163     -5.610733     56.37628             25
+#> 65     VR2W-108163     -5.610733     56.37628             25
+#> 66     VR2W-108163     -5.610733     56.37628             25
+#> 67     VR2W-120722     -5.602283     56.37748             25
+#> 68     VR2W-108163     -5.610733     56.37628             25
+#> 69     VR2W-120722     -5.602283     56.37748             25
+#> 70     VR2W-108163     -5.610733     56.37628             25
+#> 71     VR2W-108163     -5.610733     56.37628             25
+#> 72     VR2W-108163     -5.610733     56.37628             25
+#> 73     VR2W-108163     -5.610733     56.37628             25
+#> 74     VR2W-108163     -5.610733     56.37628             25
+#> 75     VR2W-120722     -5.602283     56.37748             25
+#> 76     VR2W-108163     -5.610733     56.37628             25
+#> 77     VR2W-108163     -5.610733     56.37628             25
+#> 78     VR2W-108163     -5.610733     56.37628             25
+#> 79     VR2W-108163     -5.610733     56.37628             25
+#> 80     VR2W-108163     -5.610733     56.37628             25
+#> 81     VR2W-108163     -5.610733     56.37628             25
+#> 82     VR2W-108163     -5.610733     56.37628             25
+#> 83     VR2W-108163     -5.610733     56.37628             25
+#> 84     VR2W-108163     -5.610733     56.37628             25
+#> 85     VR2W-108163     -5.610733     56.37628             25
+#> 86     VR2W-108163     -5.610733     56.37628             25
+#> 87     VR2W-108163     -5.610733     56.37628             25
+#> 88     VR2W-108163     -5.610733     56.37628             25
+#> 89     VR2W-108163     -5.610733     56.37628             25
+#> 90     VR2W-108163     -5.610733     56.37628             25
+#> 91     VR2W-108163     -5.610733     56.37628             25
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+#> 391       VR2-5629     -5.655350     56.38545             50
+#> 392       VR2-5637     -5.662083     56.38858             10
+#> 393       VR2-5637     -5.662083     56.38858             10
+#> 394       VR2-5629     -5.655350     56.38545             50
+#> 395       VR2-5637     -5.662083     56.38858             10
+#> 396       VR2-5629     -5.655350     56.38545             50
+#> 397       VR2-5629     -5.655350     56.38545             50
+#> 398       VR2-5629     -5.655350     56.38545             50
+#> 399       VR2-5629     -5.655350     56.38545             50
+#> 400       VR2-5629     -5.655350     56.38545             50
+#> 401       VR2-5629     -5.655350     56.38545             50
+#> 402       VR2-5629     -5.655350     56.38545             50
+#> 403       VR2-5629     -5.655350     56.38545             50
+#> 404       VR2-5629     -5.655350     56.38545             50
+#> 405       VR2-5629     -5.655350     56.38545             50
+#> 406       VR2-5629     -5.655350     56.38545             50
+#> 407       VR2-5629     -5.655350     56.38545             50
+#> 408       VR2-5629     -5.655350     56.38545             50
+#> 409       VR2-5629     -5.655350     56.38545             50
+#> 410       VR2-5629     -5.655350     56.38545             50
+#> 411       VR2-5629     -5.655350     56.38545             50
+#> 412       VR2-5629     -5.655350     56.38545             50
+#> 413       VR2-5629     -5.655350     56.38545             50
+#> 414       VR2-5629     -5.655350     56.38545             50
+#> 415       VR2-5637     -5.662083     56.38858             10
+#> 416       VR2-5629     -5.655350     56.38545             50
+#> 417       VR2-5637     -5.662083     56.38858             10
+#> 418       VR2-5629     -5.655350     56.38545             50
+#> 419       VR2-5629     -5.655350     56.38545             50
+#> 420       VR2-5637     -5.662083     56.38858             10
+#> 421       VR2-5629     -5.655350     56.38545             50
+#> 422       VR2-5637     -5.662083     56.38858             10
+#> 423       VR2-5629     -5.655350     56.38545             50
+#> 424       VR2-5637     -5.662083     56.38858             10
+#> 425       VR2-5629     -5.655350     56.38545             50
+#> 426       VR2-5637     -5.662083     56.38858             10
+#> 427       VR2-5629     -5.655350     56.38545             50
+#> 428       VR2-5629     -5.655350     56.38545             50
+#> 429       VR2-5629     -5.655350     56.38545             50
+#> 430       VR2-5629     -5.655350     56.38545             50
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+#> 435       VR2-5629     -5.655350     56.38545             50
+#> 436       VR2-5629     -5.655350     56.38545             50
+#> 437       VR2-5629     -5.655350     56.38545             50
+#> 438       VR2-5629     -5.655350     56.38545             50
+#> 439       VR2-5629     -5.655350     56.38545             50
+#> 440       VR2-5629     -5.655350     56.38545             50
+#> 441       VR2-5629     -5.655350     56.38545             50
+#> 442       VR2-5629     -5.655350     56.38545             50
+#> 443       VR2-5629     -5.655350     56.38545             50
+#> 444       VR2-5629     -5.655350     56.38545             50
+#> 445       VR2-5629     -5.655350     56.38545             50
+#> 446       VR2-5629     -5.655350     56.38545             50
+#> 447       VR2-5629     -5.655350     56.38545             50
+#> 448       VR2-5629     -5.655350     56.38545             50
+#> 449       VR2-5629     -5.655350     56.38545             50
+#> 450       VR2-5629     -5.655350     56.38545             50
+#> 451       VR2-5629     -5.655350     56.38545             50
+#> 452       VR2-5629     -5.655350     56.38545             50
+#> 453       VR2-5629     -5.655350     56.38545             50
+#> 454       VR2-5629     -5.655350     56.38545             50
+#> 455       VR2-5629     -5.655350     56.38545             50
+#> 456       VR2-5629     -5.655350     56.38545             50
+#> 457       VR2-5629     -5.655350     56.38545             50
+#> 458       VR2-5629     -5.655350     56.38545             50
+#> 459       VR2-5629     -5.655350     56.38545             50
+#> 460       VR2-5629     -5.655350     56.38545             50
+#> 461       VR2-5629     -5.655350     56.38545             50
+#> 462       VR2-5629     -5.655350     56.38545             50
+#> 463       VR2-5629     -5.655350     56.38545             50
+#> 464       VR2-5629     -5.655350     56.38545             50
+#> 465       VR2-5629     -5.655350     56.38545             50
+#> 466       VR2-5629     -5.655350     56.38545             50
+#> 467       VR2-5629     -5.655350     56.38545             50
+#> 468       VR2-5629     -5.655350     56.38545             50
+#> 469       VR2-5629     -5.655350     56.38545             50
+#> 470       VR2-5629     -5.655350     56.38545             50
+#> 471       VR2-5629     -5.655350     56.38545             50
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+#> 475       VR2-5629     -5.655350     56.38545             50
+#> 476       VR2-5629     -5.655350     56.38545             50
+#> 477       VR2-5629     -5.655350     56.38545             50
+#> 478       VR2-5629     -5.655350     56.38545             50
+#> 479       VR2-5629     -5.655350     56.38545             50
+#> 480       VR2-5629     -5.655350     56.38545             50
+#> 481       VR2-5629     -5.655350     56.38545             50
+#> 482       VR2-5629     -5.655350     56.38545             50
+#> 483       VR2-5629     -5.655350     56.38545             50
+#> 484       VR2-5629     -5.655350     56.38545             50
+#> 485       VR2-5629     -5.655350     56.38545             50
+#> 486       VR2-5629     -5.655350     56.38545             50
+#> 487       VR2-5629     -5.655350     56.38545             50
+#> 488       VR2-5629     -5.655350     56.38545             50
+#> 489       VR2-5629     -5.655350     56.38545             50
+#> 490       VR2-5629     -5.655350     56.38545             50
+#> 491       VR2-5629     -5.655350     56.38545             50
+#> 492       VR2-5637     -5.662083     56.38858             10
+#> 493       VR2-5637     -5.662083     56.38858             10
+#> 494       VR2-5637     -5.662083     56.38858             10
+#> 495       VR2-5629     -5.655350     56.38545             50
+#> 496       VR2-5629     -5.655350     56.38545             50
+#> 497       VR2-5629     -5.655350     56.38545             50
+#> 498       VR2-5629     -5.655350     56.38545             50
+#> 499       VR2-5629     -5.655350     56.38545             50
+#> 500    VR2W-108163     -5.610733     56.37628             25
+#> 501    VR2W-108163     -5.610733     56.37628             25
+#> 502    VR2W-108163     -5.610733     56.37628             25
+#> 503    VR2W-108163     -5.610733     56.37628             25
+#> 504    VR2W-108163     -5.610733     56.37628             25
+#> 505    VR2W-108163     -5.610733     56.37628             25
+#> 506    VR2W-108163     -5.610733     56.37628             25
+#> 507    VR2W-108163     -5.610733     56.37628             25
+#> 508    VR2W-108163     -5.610733     56.37628             25
+#> 509    VR2W-108163     -5.610733     56.37628             25
+#> 510    VR2W-108163     -5.610733     56.37628             25
+#> 511    VR2W-108163     -5.610733     56.37628             25
+#> 512    VR2W-108163     -5.610733     56.37628             25
+#> 513    VR2W-108163     -5.610733     56.37628             25
+#> 514    VR2W-108163     -5.610733     56.37628             25
+#> 515    VR2W-108163     -5.610733     56.37628             25
+#> 516    VR2W-108163     -5.610733     56.37628             25
+#> 517    VR2W-108163     -5.610733     56.37628             25
+#> 518    VR2W-108163     -5.610733     56.37628             25
+#> 519    VR2W-108163     -5.610733     56.37628             25
+#> 520    VR2W-108163     -5.610733     56.37628             25
+#> 521    VR2W-108163     -5.610733     56.37628             25
+#> 522    VR2W-108163     -5.610733     56.37628             25
+#> 523    VR2W-108163     -5.610733     56.37628             25
+#> 524    VR2W-108163     -5.610733     56.37628             25
+#> 525    VR2W-108163     -5.610733     56.37628             25
+#> 526    VR2W-108163     -5.610733     56.37628             25
+#> 527    VR2W-108163     -5.610733     56.37628             25
+#> 528    VR2W-108163     -5.610733     56.37628             25
+#> 529    VR2W-108163     -5.610733     56.37628             25
+#> 530    VR2W-108163     -5.610733     56.37628             25
+#> 531    VR2W-108163     -5.610733     56.37628             25
+#> 532    VR2W-108163     -5.610733     56.37628             25
+#> 533    VR2W-108163     -5.610733     56.37628             25
+#> 534    VR2W-108163     -5.610733     56.37628             25
+#> 535    VR2W-108163     -5.610733     56.37628             25
+#> 536    VR2W-108163     -5.610733     56.37628             25
+#> 537    VR2W-108163     -5.610733     56.37628             25
+#> 538    VR2W-108163     -5.610733     56.37628             25
+#> 539    VR2W-108163     -5.610733     56.37628             25
+#> 540    VR2W-108163     -5.610733     56.37628             25
+#> 541    VR2W-108163     -5.610733     56.37628             25
+#> 542    VR2W-108163     -5.610733     56.37628             25
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+#> 544    VR2W-120722     -5.602283     56.37748             25
+#> 545    VR2W-120722     -5.602283     56.37748             25
+#> 546    VR2W-108163     -5.610733     56.37628             25
+#> 547    VR2W-108163     -5.610733     56.37628             25
+#> 548    VR2W-108163     -5.610733     56.37628             25
+#> 549    VR2W-108163     -5.610733     56.37628             25
+#> 550    VR2W-108163     -5.610733     56.37628             25
+#> 551    VR2W-108163     -5.610733     56.37628             25
+#> 552    VR2W-108163     -5.610733     56.37628             25
+#> 553    VR2W-108163     -5.610733     56.37628             25
+#> 554    VR2W-108163     -5.610733     56.37628             25
+#> 555    VR2W-108163     -5.610733     56.37628             25
+#> 556    VR2W-108163     -5.610733     56.37628             25
+#> 557    VR2W-108163     -5.610733     56.37628             25
+#> 558    VR2W-108163     -5.610733     56.37628             25
+#> 559    VR2W-108163     -5.610733     56.37628             25
+#> 560    VR2W-108163     -5.610733     56.37628             25
+#> 561    VR2W-108163     -5.610733     56.37628             25
+#> 562    VR2W-108163     -5.610733     56.37628             25
+#> 563    VR2W-108163     -5.610733     56.37628             25
+#> 564    VR2W-108163     -5.610733     56.37628             25
+#> 565    VR2W-108163     -5.610733     56.37628             25
+#> 566    VR2W-108163     -5.610733     56.37628             25
+#> 567    VR2W-108163     -5.610733     56.37628             25
+#> 568    VR2W-108163     -5.610733     56.37628             25
+#> 569    VR2W-108163     -5.610733     56.37628             25
+#> 570    VR2W-108163     -5.610733     56.37628             25
+#> 571    VR2W-108163     -5.610733     56.37628             25
+#> 572    VR2W-108163     -5.610733     56.37628             25
+#> 573    VR2W-108163     -5.610733     56.37628             25
+#> 574    VR2W-108163     -5.610733     56.37628             25
+#> 575    VR2W-108163     -5.610733     56.37628             25
+#> 576    VR2W-108163     -5.610733     56.37628             25
+#> 577    VR2W-108163     -5.610733     56.37628             25
+#> 578    VR2W-108163     -5.610733     56.37628             25
+#> 579    VR2W-108163     -5.610733     56.37628             25
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+#> 581    VR2W-108163     -5.610733     56.37628             25
+#> 582    VR2W-108163     -5.610733     56.37628             25
+#> 583    VR2W-108163     -5.610733     56.37628             25
+#> 584    VR2W-108163     -5.610733     56.37628             25
+#> 585    VR2W-108163     -5.610733     56.37628             25
+#> 586    VR2W-120722     -5.602283     56.37748             25
+#> 587    VR2W-108163     -5.610733     56.37628             25
+#> 588    VR2W-108163     -5.610733     56.37628             25
+#> 589    VR2W-120722     -5.602283     56.37748             25
+#> 590    VR2W-108163     -5.610733     56.37628             25
+#> 591    VR2W-113142     -5.634833     56.37502             50
+#> 592    VR2W-108163     -5.610733     56.37628             25
+#> 593    VR2W-108163     -5.610733     56.37628             25
+#> 594    VR2W-108163     -5.610733     56.37628             25
+#> 595    VR2W-108163     -5.610733     56.37628             25
+#> 596    VR2W-108163     -5.610733     56.37628             25
+#> 597    VR2W-108163     -5.610733     56.37628             25
+#> 598    VR2W-108163     -5.610733     56.37628             25
+#> 599    VR2W-108163     -5.610733     56.37628             25
+#> 600    VR2W-108163     -5.610733     56.37628             25
+#> 601    VR2W-108163     -5.610733     56.37628             25
+#> 602    VR2W-108163     -5.610733     56.37628             25
+#> 603    VR2W-108163     -5.610733     56.37628             25
+#> 604    VR2W-108163     -5.610733     56.37628             25
+#> 605    VR2W-108163     -5.610733     56.37628             25
+#> 606    VR2W-108163     -5.610733     56.37628             25
+#> 607    VR2W-108163     -5.610733     56.37628             25
+#> 608    VR2W-108163     -5.610733     56.37628             25
+#> 609    VR2W-108163     -5.610733     56.37628             25
+#> 610    VR2W-108163     -5.610733     56.37628             25
+#> 611    VR2W-108163     -5.610733     56.37628             25
+#> 612    VR2W-108163     -5.610733     56.37628             25
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+#> 616    VR2W-120722     -5.602283     56.37748             25
+#> 617    VR2W-120722     -5.602283     56.37748             25
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+#> 619    VR2W-108163     -5.610733     56.37628             25
+#> 620    VR2W-108163     -5.610733     56.37628             25
+#> 621    VR2W-108163     -5.610733     56.37628             25
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+#> 623    VR2W-108163     -5.610733     56.37628             25
+#> 624    VR2W-108163     -5.610733     56.37628             25
+#> 625    VR2W-108163     -5.610733     56.37628             25
+#> 626    VR2W-108163     -5.610733     56.37628             25
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+#> 630    VR2W-108163     -5.610733     56.37628             25
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+#> 633    VR2W-108163     -5.610733     56.37628             25
+#> 634    VR2W-108163     -5.610733     56.37628             25
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+#> 636    VR2W-108163     -5.610733     56.37628             25
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+#> 654    VR2W-120722     -5.602283     56.37748             25
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+#> 691    VR2W-107823     -5.691883     56.49690             25
+#> 692    VR2W-107823     -5.691883     56.49690             25
+#> 693    VR2W-107823     -5.691883     56.49690             25
+#> 694    VR2W-107823     -5.691883     56.49690             25
+#> 695    VR2W-107823     -5.691883     56.49690             25
+#> 696    VR2W-107823     -5.691883     56.49690             25
+#> 697    VR2W-107823     -5.691883     56.49690             25
+#> 698    VR2W-107823     -5.691883     56.49690             25
+#> 699    VR2W-107823     -5.691883     56.49690             25
+#> 700    VR2W-107823     -5.691883     56.49690             25
+#> 701    VR2W-107823     -5.691883     56.49690             25
+#> 702    VR2W-107823     -5.691883     56.49690             25
+#> 703    VR2W-107823     -5.691883     56.49690             25
+#> 704    VR2W-107823     -5.691883     56.49690             25
+#> 705    VR2W-107823     -5.691883     56.49690             25
+#> 706    VR2W-107823     -5.691883     56.49690             25
+#> 707    VR2W-107823     -5.691883     56.49690             25
+#> 708    VR2W-107823     -5.691883     56.49690             25
+#> 709    VR2W-107823     -5.691883     56.49690             25
+#> 710    VR2W-107823     -5.691883     56.49690             25
+#> 711    VR2W-107823     -5.691883     56.49690             25
+#> 712    VR2W-107823     -5.691883     56.49690             25
+#> 713    VR2W-107823     -5.691883     56.49690             25
+#> 714    VR2W-107823     -5.691883     56.49690             25
+#> 715    VR2W-107823     -5.691883     56.49690             25
+#> 716    VR2W-107823     -5.691883     56.49690             25
+#> 717    VR2W-107823     -5.691883     56.49690             25
+#> 718    VR2W-107823     -5.691883     56.49690             25
+#> 719    VR2W-107823     -5.691883     56.49690             25
+#> 720    VR2W-107823     -5.691883     56.49690             25
+#> 721    VR2W-107823     -5.691883     56.49690             25
+#> 722    VR2W-107823     -5.691883     56.49690             25
+#> 723    VR2W-107823     -5.691883     56.49690             25
+#> 724    VR2W-107823     -5.691883     56.49690             25
+#> 725    VR2W-107823     -5.691883     56.49690             25
+#> 726    VR2W-107823     -5.691883     56.49690             25
+#> 727    VR2W-107823     -5.691883     56.49690             25
+#> 728    VR2W-107823     -5.691883     56.49690             25
+#> 729    VR2W-107823     -5.691883     56.49690             25
+#> 730    VR2W-107823     -5.691883     56.49690             25
+#> 731    VR2W-107823     -5.691883     56.49690             25
+#> 732    VR2W-107823     -5.691883     56.49690             25
+#> 733    VR2W-107823     -5.691883     56.49690             25
+#> 734    VR2W-107823     -5.691883     56.49690             25
+#> 735    VR2W-107823     -5.691883     56.49690             25
+#> 736    VR2W-107823     -5.691883     56.49690             25
+#> 737    VR2W-107823     -5.691883     56.49690             25
+#> 738    VR2W-107823     -5.691883     56.49690             25
+#> 739    VR2W-107823     -5.691883     56.49690             25
+#> 740    VR2W-107823     -5.691883     56.49690             25
+#> 741    VR2W-107823     -5.691883     56.49690             25
+#> 742    VR2W-107823     -5.691883     56.49690             25
+#> 743    VR2W-107823     -5.691883     56.49690             25
+#> 744    VR2W-107823     -5.691883     56.49690             25
+#> 745    VR2W-107823     -5.691883     56.49690             25
+#> 746    VR2W-107823     -5.691883     56.49690             25
+#> 747    VR2W-107823     -5.691883     56.49690             25
+#> 748    VR2W-107823     -5.691883     56.49690             25
+#> 749    VR2W-107823     -5.691883     56.49690             25
+#> 750    VR2W-107823     -5.691883     56.49690             25
+#> 751    VR2W-107823     -5.691883     56.49690             25
+#> 752    VR2W-107823     -5.691883     56.49690             25
+#> 753    VR2W-107823     -5.691883     56.49690             25
+#> 754    VR2W-107823     -5.691883     56.49690             25
+#> 755    VR2W-107823     -5.691883     56.49690             25
+#> 756    VR2W-107823     -5.691883     56.49690             25
+#> 757    VR2W-107823     -5.691883     56.49690             25
+#> 758    VR2W-107823     -5.691883     56.49690             25
+#> 759    VR2W-107823     -5.691883     56.49690             25
+#> 760    VR2W-107823     -5.691883     56.49690             25
+#> 761    VR2W-107823     -5.691883     56.49690             25
+#> 762    VR2W-107823     -5.691883     56.49690             25
+#> 763    VR2W-107823     -5.691883     56.49690             25
+#> 764    VR2W-107823     -5.691883     56.49690             25
+#> 765    VR2W-107823     -5.691883     56.49690             25
+#> 766    VR2W-107823     -5.691883     56.49690             25
+#> 767    VR2W-107823     -5.691883     56.49690             25
+#> 768    VR2W-107823     -5.691883     56.49690             25
+#> 769    VR2W-107823     -5.691883     56.49690             25
+#> 770    VR2W-107823     -5.691883     56.49690             25
+#> 771    VR2W-107823     -5.691883     56.49690             25
+#> 772    VR2W-107823     -5.691883     56.49690             25
+#> 773    VR2W-107823     -5.691883     56.49690             25
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+#> 775    VR2W-108163     -5.610733     56.37628             25
+#> 776    VR2W-108163     -5.610733     56.37628             25
+#> 777    VR2W-108163     -5.610733     56.37628             25
+#> 778    VR2W-108163     -5.610733     56.37628             25
+#> 779    VR2W-108163     -5.610733     56.37628             25
+#> 780    VR2W-108163     -5.610733     56.37628             25
+#> 781    VR2W-108163     -5.610733     56.37628             25
+#> 782    VR2W-108163     -5.610733     56.37628             25
+#> 783    VR2W-107823     -5.691883     56.49690             25
+#> 784    VR2W-107823     -5.691883     56.49690             25
+#> 785    VR2W-107823     -5.691883     56.49690             25
+#> 786    VR2W-107823     -5.691883     56.49690             25
+#> 787    VR2W-107823     -5.691883     56.49690             25
+#> 788    VR2W-107823     -5.691883     56.49690             25
+#> 789    VR2W-107823     -5.691883     56.49690             25
+#> 790    VR2W-107823     -5.691883     56.49690             25
+#> 791    VR2W-107823     -5.691883     56.49690             25
+#> 792    VR2W-107823     -5.691883     56.49690             25
+#> 793    VR2W-107823     -5.691883     56.49690             25
+#> 794    VR2W-107823     -5.691883     56.49690             25
+#> 795    VR2W-107823     -5.691883     56.49690             25
+#> 796    VR2W-107823     -5.691883     56.49690             25
+#> 797    VR2W-107823     -5.691883     56.49690             25
+#> 798    VR2W-107823     -5.691883     56.49690             25
+#> 799    VR2W-107823     -5.691883     56.49690             25
+#> 800    VR2W-107823     -5.691883     56.49690             25
+#> 801    VR2W-107823     -5.691883     56.49690             25
+#> 802    VR2W-107823     -5.691883     56.49690             25
+#> 803    VR2W-107823     -5.691883     56.49690             25
+#> 804    VR2W-107823     -5.691883     56.49690             25
+#> 805    VR2W-107823     -5.691883     56.49690             25
+#> 806    VR2W-107823     -5.691883     56.49690             25
+#> 807    VR2W-107823     -5.691883     56.49690             25
+#> 808    VR2W-107823     -5.691883     56.49690             25
+#> 809    VR2W-107823     -5.691883     56.49690             25
+#> 810    VR2W-107823     -5.691883     56.49690             25
+#> 811    VR2W-107823     -5.691883     56.49690             25
+#> 812    VR2W-107823     -5.691883     56.49690             25
+#> 813    VR2W-107823     -5.691883     56.49690             25
+#> 814    VR2W-107823     -5.691883     56.49690             25
+#> 815    VR2W-107823     -5.691883     56.49690             25
+#> 816    VR2W-107823     -5.691883     56.49690             25
+#> 817    VR2W-107823     -5.691883     56.49690             25
+#> 818    VR2W-107823     -5.691883     56.49690             25
+#> 819    VR2W-107823     -5.691883     56.49690             25
+#> 820    VR2W-107823     -5.691883     56.49690             25
+#> 821    VR2W-107823     -5.691883     56.49690             25
+#> 822    VR2W-107823     -5.691883     56.49690             25
+#> 823    VR2W-107823     -5.691883     56.49690             25
+#> 824    VR2W-107823     -5.691883     56.49690             25
+#> 825    VR2W-107823     -5.691883     56.49690             25
+#> 826    VR2W-107823     -5.691883     56.49690             25
+#> 827    VR2W-107823     -5.691883     56.49690             25
+#> 828    VR2W-107823     -5.691883     56.49690             25
+#> 829    VR2W-107823     -5.691883     56.49690             25
+#> 830    VR2W-107823     -5.691883     56.49690             25
+#> 831    VR2W-107823     -5.691883     56.49690             25
+#> 832    VR2W-107823     -5.691883     56.49690             25
+#> 833    VR2W-107823     -5.691883     56.49690             25
+#> 834    VR2W-107823     -5.691883     56.49690             25
+#> 835    VR2W-107823     -5.691883     56.49690             25
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+#> 838    VR2W-108160     -5.704867     56.48890             25
+#> 839    VR2W-108160     -5.704867     56.48890             25
+#> 840    VR2W-108160     -5.704867     56.48890             25
+#> 841    VR2W-108160     -5.704867     56.48890             25
+#> 842    VR2W-108160     -5.704867     56.48890             25
+#> 843    VR2W-107823     -5.691883     56.49690             25
+#> 844    VR2W-107823     -5.691883     56.49690             25
+#> 845    VR2W-107823     -5.691883     56.49690             25
+#> 846    VR2W-107823     -5.691883     56.49690             25
+#> 847    VR2W-107823     -5.691883     56.49690             25
+#> 848    VR2W-107823     -5.691883     56.49690             25
+#> 849    VR2W-107823     -5.691883     56.49690             25
+#> 850    VR2W-107823     -5.691883     56.49690             25
+#> 851    VR2W-107823     -5.691883     56.49690             25
+#> 852    VR2W-107823     -5.691883     56.49690             25
+#> 853    VR2W-107823     -5.691883     56.49690             25
+#> 854    VR2W-107823     -5.691883     56.49690             25
+#> 855    VR2W-107823     -5.691883     56.49690             25
+#> 856    VR2W-107823     -5.691883     56.49690             25
+#> 857    VR2W-107823     -5.691883     56.49690             25
+#> 858    VR2W-107823     -5.691883     56.49690             25
+#> 859    VR2W-107823     -5.691883     56.49690             25
+#> 860    VR2W-107823     -5.691883     56.49690             25
+#> 861    VR2W-107823     -5.691883     56.49690             25
+#> 862    VR2W-107823     -5.691883     56.49690             25
+#> 863    VR2W-107823     -5.691883     56.49690             25
+#> 864    VR2W-107823     -5.691883     56.49690             25
+#> 865    VR2W-107823     -5.691883     56.49690             25
+#> 866    VR2W-107823     -5.691883     56.49690             25
+#> 867    VR2W-107823     -5.691883     56.49690             25
+#> 868    VR2W-107823     -5.691883     56.49690             25
+#> 869    VR2W-107823     -5.691883     56.49690             25
+#> 870    VR2W-107823     -5.691883     56.49690             25
+#> 871    VR2W-108163     -5.610733     56.37628             25
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+#> 875    VR2W-108160     -5.704867     56.48890             25
+#> 876    VR2W-108160     -5.704867     56.48890             25
+#> 877    VR2W-108160     -5.704867     56.48890             25
+#> 878    VR2W-108160     -5.704867     56.48890             25
+#> 879    VR2W-108160     -5.704867     56.48890             25
+#> 880    VR2W-108160     -5.704867     56.48890             25
+#> 881    VR2W-108160     -5.704867     56.48890             25
+#> 882    VR2W-108160     -5.704867     56.48890             25
+#> 883    VR2W-108160     -5.704867     56.48890             25
+#> 884    VR2W-108160     -5.704867     56.48890             25
+#> 885    VR2W-108160     -5.704867     56.48890             25
+#> 886    VR2W-108160     -5.704867     56.48890             25
+#> 887    VR2W-108160     -5.704867     56.48890             25
+#> 888    VR2W-108160     -5.704867     56.48890             25
+#> 889    VR2W-108160     -5.704867     56.48890             25
+#> 890    VR2W-108160     -5.704867     56.48890             25
+#> 891    VR2W-108160     -5.704867     56.48890             25
+#> 892    VR2W-108160     -5.704867     56.48890             25
+#> 893    VR2W-108160     -5.704867     56.48890             25
+#> 894    VR2W-108160     -5.704867     56.48890             25
+#> 895    VR2W-108160     -5.704867     56.48890             25
+#> 896    VR2W-108160     -5.704867     56.48890             25
+#> 897    VR2W-108160     -5.704867     56.48890             25
+#> 898    VR2W-108160     -5.704867     56.48890             25
+#> 899    VR2W-108160     -5.704867     56.48890             25
+#> 900    VR2W-108160     -5.704867     56.48890             25
+#> 901    VR2W-108160     -5.704867     56.48890             25
+#> 902    VR2W-108160     -5.704867     56.48890             25
+#> 903    VR2W-108160     -5.704867     56.48890             25
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+#> 905    VR2W-107823     -5.691883     56.49690             25
+#> 906    VR2W-107823     -5.691883     56.49690             25
+#> 907    VR2W-107823     -5.691883     56.49690             25
+#> 908    VR2W-107823     -5.691883     56.49690             25
+#> 909    VR2W-107823     -5.691883     56.49690             25
+#> 910    VR2W-107823     -5.691883     56.49690             25
+#> 911    VR2W-107823     -5.691883     56.49690             25
+#> 912    VR2W-107823     -5.691883     56.49690             25
+#> 913    VR2W-107823     -5.691883     56.49690             25
+#> 914    VR2W-107823     -5.691883     56.49690             25
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+#> 918    VR2W-107823     -5.691883     56.49690             25
+#> 919    VR2W-107823     -5.691883     56.49690             25
+#> 920    VR2W-107823     -5.691883     56.49690             25
+#> 921    VR2W-107823     -5.691883     56.49690             25
+#> 922    VR2W-107823     -5.691883     56.49690             25
+#> 923    VR2W-107823     -5.691883     56.49690             25
+#> 924    VR2W-107823     -5.691883     56.49690             25
+#> 925    VR2W-107823     -5.691883     56.49690             25
+#> 926    VR2W-107823     -5.691883     56.49690             25
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+#> 949    VR2W-107823     -5.691883     56.49690             25
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+#> 974    VR2W-107823     -5.691883     56.49690             25
+#> 975    VR2W-107823     -5.691883     56.49690             25
+#> 976    VR2W-107823     -5.691883     56.49690             25
+#> 977    VR2W-107823     -5.691883     56.49690             25
+#> 978    VR2W-107823     -5.691883     56.49690             25
+#> 979    VR2W-107823     -5.691883     56.49690             25
+#> 980    VR2W-107823     -5.691883     56.49690             25
+#> 981    VR2W-107823     -5.691883     56.49690             25
+#> 982    VR2W-107823     -5.691883     56.49690             25
+#> 983    VR2W-107823     -5.691883     56.49690             25
+#> 984    VR2W-107823     -5.691883     56.49690             25
+#> 985    VR2W-107823     -5.691883     56.49690             25
+#> 986    VR2W-107823     -5.691883     56.49690             25
+#> 987    VR2W-107823     -5.691883     56.49690             25
+#> 988    VR2W-107823     -5.691883     56.49690             25
+#> 989    VR2W-107823     -5.691883     56.49690             25
+#> 990    VR2W-107823     -5.691883     56.49690             25
+#> 991    VR2W-107823     -5.691883     56.49690             25
+#> 992    VR2W-107823     -5.691883     56.49690             25
+#> 993    VR2W-107823     -5.691883     56.49690             25
+#> 994    VR2W-107823     -5.691883     56.49690             25
+#> 995    VR2W-107823     -5.691883     56.49690             25
+#> 996    VR2W-107823     -5.691883     56.49690             25
+#> 997    VR2W-107823     -5.691883     56.49690             25
+#> 998    VR2W-107823     -5.691883     56.49690             25
+#> 999    VR2W-107823     -5.691883     56.49690             25
+#> 1000   VR2W-107823     -5.691883     56.49690             25
+#> 1001   VR2W-107823     -5.691883     56.49690             25
+#> 1002   VR2W-107823     -5.691883     56.49690             25
+#> 1003   VR2W-107823     -5.691883     56.49690             25
+#> 1004   VR2W-107823     -5.691883     56.49690             25
+#> 1005   VR2W-107823     -5.691883     56.49690             25
+#> 1006   VR2W-107823     -5.691883     56.49690             25
+#> 1007   VR2W-107823     -5.691883     56.49690             25
+#> 1008   VR2W-107823     -5.691883     56.49690             25
+#> 1009   VR2W-107823     -5.691883     56.49690             25
+#> 1010   VR2W-107823     -5.691883     56.49690             25
+#> 1011   VR2W-107823     -5.691883     56.49690             25
+#> 1012   VR2W-107823     -5.691883     56.49690             25
+#> 1013   VR2W-107823     -5.691883     56.49690             25
+#> 1014   VR2W-107823     -5.691883     56.49690             25
+#> 1015   VR2W-107823     -5.691883     56.49690             25
+#> 1016   VR2W-107823     -5.691883     56.49690             25
+#> 1017   VR2W-107823     -5.691883     56.49690             25
+#> 1018   VR2W-107823     -5.691883     56.49690             25
+#> 1019   VR2W-107823     -5.691883     56.49690             25
+#> 1020   VR2W-107823     -5.691883     56.49690             25
+#> 1021   VR2W-107823     -5.691883     56.49690             25
+#> 1022   VR2W-107823     -5.691883     56.49690             25
+#> 1023   VR2W-107823     -5.691883     56.49690             25
+#> 1024   VR2W-107823     -5.691883     56.49690             25
+#> 1025   VR2W-107823     -5.691883     56.49690             25
+#> 1026   VR2W-107823     -5.691883     56.49690             25
+#> 1027   VR2W-107823     -5.691883     56.49690             25
+#> 1028   VR2W-107823     -5.691883     56.49690             25
+#> 1029   VR2W-107823     -5.691883     56.49690             25
+#> 1030   VR2W-107823     -5.691883     56.49690             25
+#> 1031   VR2W-107823     -5.691883     56.49690             25
+#> 1032   VR2W-107823     -5.691883     56.49690             25
+#> 1033   VR2W-107823     -5.691883     56.49690             25
+#> 1034   VR2W-107823     -5.691883     56.49690             25
+#> 1035   VR2W-107823     -5.691883     56.49690             25
+#> 1036   VR2W-107823     -5.691883     56.49690             25
+#> 1037   VR2W-107823     -5.691883     56.49690             25
+#> 1038   VR2W-107823     -5.691883     56.49690             25
+#> 1039   VR2W-107823     -5.691883     56.49690             25
+#> 1040   VR2W-107823     -5.691883     56.49690             25
+#> 1041   VR2W-107823     -5.691883     56.49690             25
+#> 1042   VR2W-107823     -5.691883     56.49690             25
+#> 1043   VR2W-107823     -5.691883     56.49690             25
+#> 1044   VR2W-107823     -5.691883     56.49690             25
+#> 1045   VR2W-107823     -5.691883     56.49690             25
+#> 1046   VR2W-107823     -5.691883     56.49690             25
+#> 1047   VR2W-107823     -5.691883     56.49690             25
+#> 1048   VR2W-107823     -5.691883     56.49690             25
+#> 1049   VR2W-107823     -5.691883     56.49690             25
+#> 1050   VR2W-107823     -5.691883     56.49690             25
+#> 1051   VR2W-107823     -5.691883     56.49690             25
+#> 1052   VR2W-107823     -5.691883     56.49690             25
+#> 1053   VR2W-107823     -5.691883     56.49690             25
+#> 1054   VR2W-107823     -5.691883     56.49690             25
+#> 1055   VR2W-107823     -5.691883     56.49690             25
+#> 1056   VR2W-107823     -5.691883     56.49690             25
+#> 1057   VR2W-107823     -5.691883     56.49690             25
+#> 1058   VR2W-107823     -5.691883     56.49690             25
+#> 1059   VR2W-107823     -5.691883     56.49690             25
+#> 1060   VR2W-107823     -5.691883     56.49690             25
+#> 1061   VR2W-107823     -5.691883     56.49690             25
+#> 1062   VR2W-107823     -5.691883     56.49690             25
+#> 1063   VR2W-107823     -5.691883     56.49690             25
+#> 1064   VR2W-107823     -5.691883     56.49690             25
+#> 1065   VR2W-107823     -5.691883     56.49690             25
+#> 1066   VR2W-107823     -5.691883     56.49690             25
+#> 1067   VR2W-107823     -5.691883     56.49690             25
+#> 1068   VR2W-107823     -5.691883     56.49690             25
+#> 1069   VR2W-107823     -5.691883     56.49690             25
+#> 1070   VR2W-107823     -5.691883     56.49690             25
+#> 1071   VR2W-107823     -5.691883     56.49690             25
+#> 1072   VR2W-107823     -5.691883     56.49690             25
+#> 1073   VR2W-107823     -5.691883     56.49690             25
+#> 1074   VR2W-107823     -5.691883     56.49690             25
+#> 1075   VR2W-107823     -5.691883     56.49690             25
+#> 1076   VR2W-107823     -5.691883     56.49690             25
+#> 1077   VR2W-107823     -5.691883     56.49690             25
+#> 1078   VR2W-107823     -5.691883     56.49690             25
+#> 1079   VR2W-107823     -5.691883     56.49690             25
+#> 1080   VR2W-107823     -5.691883     56.49690             25
+#> 1081   VR2W-107823     -5.691883     56.49690             25
+#> 1082   VR2W-107823     -5.691883     56.49690             25
+#> 1083   VR2W-107823     -5.691883     56.49690             25
+#> 1084   VR2W-107823     -5.691883     56.49690             25
+#> 1085   VR2W-107823     -5.691883     56.49690             25
+#> 1086   VR2W-107823     -5.691883     56.49690             25
+#> 1087   VR2W-107823     -5.691883     56.49690             25
+#> 1088   VR2W-107823     -5.691883     56.49690             25
+#> 1089   VR2W-107823     -5.691883     56.49690             25
+#> 1090   VR2W-107823     -5.691883     56.49690             25
+#> 1091   VR2W-107823     -5.691883     56.49690             25
+#> 1092   VR2W-107823     -5.691883     56.49690             25
+#> 1093   VR2W-107823     -5.691883     56.49690             25
+#> 1094   VR2W-107823     -5.691883     56.49690             25
+#> 1095   VR2W-107823     -5.691883     56.49690             25
+#> 1096   VR2W-107823     -5.691883     56.49690             25
+#> 1097   VR2W-107823     -5.691883     56.49690             25
+#> 1098   VR2W-107823     -5.691883     56.49690             25
+#> 1099   VR2W-107823     -5.691883     56.49690             25
+#> 1100   VR2W-107823     -5.691883     56.49690             25
+#> 1101   VR2W-107823     -5.691883     56.49690             25
+#> 1102   VR2W-107823     -5.691883     56.49690             25
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+#> 1104   VR2W-107823     -5.691883     56.49690             25
+#> 1105   VR2W-107823     -5.691883     56.49690             25
+#> 1106   VR2W-107823     -5.691883     56.49690             25
+#> 1107   VR2W-107823     -5.691883     56.49690             25
+#> 1108   VR2W-107823     -5.691883     56.49690             25
+#> 1109   VR2W-107823     -5.691883     56.49690             25
+#> 1110   VR2W-107823     -5.691883     56.49690             25
+#> 1111   VR2W-107823     -5.691883     56.49690             25
+#> 1112   VR2W-107823     -5.691883     56.49690             25
+#> 1113   VR2W-107823     -5.691883     56.49690             25
+#> 1114   VR2W-107823     -5.691883     56.49690             25
+#> 1115   VR2W-107823     -5.691883     56.49690             25
+#> 1116   VR2W-107823     -5.691883     56.49690             25
+#> 1117   VR2W-107823     -5.691883     56.49690             25
+#> 1118   VR2W-107823     -5.691883     56.49690             25
+#> 1119   VR2W-107823     -5.691883     56.49690             25
+#> 1120   VR2W-107823     -5.691883     56.49690             25
+#> 1121   VR2W-107823     -5.691883     56.49690             25
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+#> 1123   VR2W-107823     -5.691883     56.49690             25
+#> 1124   VR2W-107823     -5.691883     56.49690             25
+#> 1125   VR2W-107823     -5.691883     56.49690             25
+#> 1126   VR2W-107823     -5.691883     56.49690             25
+#> 1127   VR2W-107823     -5.691883     56.49690             25
+#> 1128   VR2W-107823     -5.691883     56.49690             25
+#> 1129   VR2W-107823     -5.691883     56.49690             25
+#> 1130   VR2W-107823     -5.691883     56.49690             25
+#> 1131   VR2W-107823     -5.691883     56.49690             25
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+#> 1139   VR2W-107823     -5.691883     56.49690             25
+#> 1140   VR2W-107823     -5.691883     56.49690             25
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+#> 1149   VR2W-107823     -5.691883     56.49690             25
+#> 1150   VR2W-107823     -5.691883     56.49690             25
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+#> 1160   VR2W-107823     -5.691883     56.49690             25
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+#> 1199   VR2W-107823     -5.691883     56.49690             25
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+#> 1249   VR2W-107823     -5.691883     56.49690             25
+#> 1250   VR2W-107823     -5.691883     56.49690             25
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+#> 1254   VR2W-107823     -5.691883     56.49690             25
+#> 1255   VR2W-107823     -5.691883     56.49690             25
+#> 1256   VR2W-107823     -5.691883     56.49690             25
+#> 1257   VR2W-107823     -5.691883     56.49690             25
+#> 1258   VR2W-107823     -5.691883     56.49690             25
+#> 1259   VR2W-107823     -5.691883     56.49690             25
+#> 1260   VR2W-107823     -5.691883     56.49690             25
+#> 1261   VR2W-107823     -5.691883     56.49690             25
+#> 1262   VR2W-107823     -5.691883     56.49690             25
+#> 1263   VR2W-107823     -5.691883     56.49690             25
+#> 1264   VR2W-107823     -5.691883     56.49690             25
+#> 1265   VR2W-107823     -5.691883     56.49690             25
+#> 1266   VR2W-107823     -5.691883     56.49690             25
+#> 1267   VR2W-107823     -5.691883     56.49690             25
+#> 1268   VR2W-107823     -5.691883     56.49690             25
+#> 1269   VR2W-107823     -5.691883     56.49690             25
+#> 1270   VR2W-107823     -5.691883     56.49690             25
+#> 1271   VR2W-107823     -5.691883     56.49690             25
+#> 1272   VR2W-107823     -5.691883     56.49690             25
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+#> 1274   VR2W-107823     -5.691883     56.49690             25
+#> 1275   VR2W-107823     -5.691883     56.49690             25
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+#> 1277   VR2W-107823     -5.691883     56.49690             25
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+#> 1282   VR2W-107823     -5.691883     56.49690             25
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+#> 1300   VR2W-107823     -5.691883     56.49690             25
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+#> 1330   VR2W-107823     -5.691883     56.49690             25
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+#> 1534   VR2W-107823     -5.691883     56.49690             25
+#> 1535   VR2W-107823     -5.691883     56.49690             25
+#> 1536   VR2W-107823     -5.691883     56.49690             25
+#> 1537   VR2W-107823     -5.691883     56.49690             25
+#> 1538   VR2W-107823     -5.691883     56.49690             25
+#> 1539   VR2W-107823     -5.691883     56.49690             25
+#> 1540   VR2W-107823     -5.691883     56.49690             25
+#> 1541   VR2W-107823     -5.691883     56.49690             25
+#> 1542   VR2W-107823     -5.691883     56.49690             25
+#> 1543   VR2W-107823     -5.691883     56.49690             25
+#> 1544   VR2W-107823     -5.691883     56.49690             25
+#> 1545   VR2W-107823     -5.691883     56.49690             25
+#> 1546   VR2W-107823     -5.691883     56.49690             25
+#> 1547   VR2W-107823     -5.691883     56.49690             25
+#> 1548   VR2W-107823     -5.691883     56.49690             25
+#> 1549   VR2W-107823     -5.691883     56.49690             25
+#> 1550   VR2W-107823     -5.691883     56.49690             25
+#> 1551   VR2W-107823     -5.691883     56.49690             25
+#> 1552   VR2W-107823     -5.691883     56.49690             25
+#> 1553   VR2W-107823     -5.691883     56.49690             25
+#> 1554   VR2W-107823     -5.691883     56.49690             25
+#> 1555   VR2W-107823     -5.691883     56.49690             25
+#> 1556   VR2W-107823     -5.691883     56.49690             25
+#> 1557   VR2W-107823     -5.691883     56.49690             25
+#> 1558   VR2W-107823     -5.691883     56.49690             25
+#> 1559   VR2W-107823     -5.691883     56.49690             25
+#> 1560   VR2W-107823     -5.691883     56.49690             25
+#> 1561   VR2W-107823     -5.691883     56.49690             25
+#> 1562   VR2W-107823     -5.691883     56.49690             25
+#> 1563   VR2W-107823     -5.691883     56.49690             25
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+#> 1565   VR2W-107823     -5.691883     56.49690             25
+#> 1566   VR2W-107823     -5.691883     56.49690             25
+#> 1567   VR2W-107823     -5.691883     56.49690             25
+#> 1568   VR2W-107823     -5.691883     56.49690             25
+#> 1569   VR2W-107823     -5.691883     56.49690             25
+#> 1570   VR2W-107823     -5.691883     56.49690             25
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+#> 1572   VR2W-107823     -5.691883     56.49690             25
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+#> 1574   VR2W-107823     -5.691883     56.49690             25
+#> 1575   VR2W-107823     -5.691883     56.49690             25
+#> 1576   VR2W-107823     -5.691883     56.49690             25
+#> 1577   VR2W-107823     -5.691883     56.49690             25
+#> 1578   VR2W-107823     -5.691883     56.49690             25
+#> 1579   VR2W-107823     -5.691883     56.49690             25
+#> 1580   VR2W-107823     -5.691883     56.49690             25
+#> 1581   VR2W-107823     -5.691883     56.49690             25
+#> 1582   VR2W-107823     -5.691883     56.49690             25
+#> 1583   VR2W-107823     -5.691883     56.49690             25
+#> 1584   VR2W-107823     -5.691883     56.49690             25
+#> 1585   VR2W-107823     -5.691883     56.49690             25
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+#> 1588   VR2W-107823     -5.691883     56.49690             25
+#> 1589   VR2W-107823     -5.691883     56.49690             25
+#> 1590   VR2W-107823     -5.691883     56.49690             25
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+#> 1594   VR2W-107823     -5.691883     56.49690             25
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+#> 1598   VR2W-107823     -5.691883     56.49690             25
+#> 1599   VR2W-107823     -5.691883     56.49690             25
+#> 1600   VR2W-107823     -5.691883     56.49690             25
+#> 1601   VR2W-107823     -5.691883     56.49690             25
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+#> 1604   VR2W-107823     -5.691883     56.49690             25
+#> 1605   VR2W-107823     -5.691883     56.49690             25
+#> 1606   VR2W-107823     -5.691883     56.49690             25
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+#> 1616   VR2W-107823     -5.691883     56.49690             25
+#> 1617   VR2W-107823     -5.691883     56.49690             25
+#> 1618   VR2W-107823     -5.691883     56.49690             25
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+#> 1624   VR2W-107823     -5.691883     56.49690             25
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+#> 1628   VR2W-107823     -5.691883     56.49690             25
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+#> 1634   VR2W-107823     -5.691883     56.49690             25
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+#> 1641   VR2W-107823     -5.691883     56.49690             25
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+#> 1645   VR2W-107823     -5.691883     56.49690             25
+#> 1646   VR2W-107823     -5.691883     56.49690             25
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+#> 1650   VR2W-107823     -5.691883     56.49690             25
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+#> 1799   VR2W-107823     -5.691883     56.49690             25
+#> 1800   VR2W-107823     -5.691883     56.49690             25
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+#> 1814   VR2W-107823     -5.691883     56.49690             25
+#> 1815   VR2W-107823     -5.691883     56.49690             25
+#> 1816   VR2W-107823     -5.691883     56.49690             25
+#> 1817   VR2W-107823     -5.691883     56.49690             25
+#> 1818   VR2W-107823     -5.691883     56.49690             25
+#> 1819   VR2W-107823     -5.691883     56.49690             25
+#> 1820   VR2W-107823     -5.691883     56.49690             25
+#> 1821   VR2W-107823     -5.691883     56.49690             25
+#> 1822   VR2W-107823     -5.691883     56.49690             25
+#> 1823   VR2W-107823     -5.691883     56.49690             25
+#> 1824   VR2W-107823     -5.691883     56.49690             25
+#> 1825   VR2W-107823     -5.691883     56.49690             25
+#> 1826   VR2W-107823     -5.691883     56.49690             25
+#> 1827   VR2W-107823     -5.691883     56.49690             25
+#> 1828   VR2W-107823     -5.691883     56.49690             25
+#> 1829   VR2W-107823     -5.691883     56.49690             25
+#> 1830   VR2W-107823     -5.691883     56.49690             25
+#> 1831   VR2W-107823     -5.691883     56.49690             25
+#> 1832   VR2W-107823     -5.691883     56.49690             25
+#> 1833   VR2W-107823     -5.691883     56.49690             25
+#> 1834   VR2W-107823     -5.691883     56.49690             25
+#> 1835   VR2W-107823     -5.691883     56.49690             25
+#> 1836   VR2W-107823     -5.691883     56.49690             25
+#> 1837   VR2W-107823     -5.691883     56.49690             25
+#> 1838   VR2W-107823     -5.691883     56.49690             25
+#> 1839   VR2W-107823     -5.691883     56.49690             25
+#> 1840   VR2W-107823     -5.691883     56.49690             25
+#> 1841   VR2W-107823     -5.691883     56.49690             25
+#> 1842   VR2W-107823     -5.691883     56.49690             25
+#> 1843   VR2W-107823     -5.691883     56.49690             25
+#> 1844   VR2W-107823     -5.691883     56.49690             25
+#> 1845   VR2W-107823     -5.691883     56.49690             25
+#> 1846   VR2W-107823     -5.691883     56.49690             25
+#> 1847   VR2W-107823     -5.691883     56.49690             25
+#> 1848   VR2W-107823     -5.691883     56.49690             25
+#> 1849   VR2W-107823     -5.691883     56.49690             25
+#> 1850   VR2W-107823     -5.691883     56.49690             25
+#> 1851   VR2W-107823     -5.691883     56.49690             25
+#> 1852   VR2W-107823     -5.691883     56.49690             25
+#> 1853   VR2W-107823     -5.691883     56.49690             25
+#> 1854   VR2W-107823     -5.691883     56.49690             25
+#> 1855   VR2W-107823     -5.691883     56.49690             25
+#> 1856   VR2W-107823     -5.691883     56.49690             25
+#> 1857   VR2W-107823     -5.691883     56.49690             25
+#> 1858   VR2W-107823     -5.691883     56.49690             25
+#> 1859   VR2W-107823     -5.691883     56.49690             25
+#> 1860   VR2W-107823     -5.691883     56.49690             25
+#> 1861   VR2W-107823     -5.691883     56.49690             25
+#> 1862   VR2W-107823     -5.691883     56.49690             25
+#> 1863   VR2W-107823     -5.691883     56.49690             25
+#> 1864   VR2W-107823     -5.691883     56.49690             25
+#> 1865   VR2W-107823     -5.691883     56.49690             25
+#> 1866   VR2W-107823     -5.691883     56.49690             25
+#> 1867   VR2W-107823     -5.691883     56.49690             25
+#> 1868   VR2W-107823     -5.691883     56.49690             25
+#> 1869   VR2W-107823     -5.691883     56.49690             25
+#> 1870   VR2W-107823     -5.691883     56.49690             25
+#> 1871   VR2W-107823     -5.691883     56.49690             25
+#> 1872   VR2W-107823     -5.691883     56.49690             25
+#> 1873   VR2W-107823     -5.691883     56.49690             25
+#> 1874   VR2W-107823     -5.691883     56.49690             25
+#> 1875   VR2W-107823     -5.691883     56.49690             25
+#> 1876   VR2W-107823     -5.691883     56.49690             25
+#> 1877   VR2W-107823     -5.691883     56.49690             25
+#> 1878   VR2W-107823     -5.691883     56.49690             25
+#> 1879   VR2W-107823     -5.691883     56.49690             25
+#> 1880   VR2W-107823     -5.691883     56.49690             25
+#> 1881   VR2W-107823     -5.691883     56.49690             25
+#> 1882   VR2W-107823     -5.691883     56.49690             25
+#> 1883   VR2W-107823     -5.691883     56.49690             25
+#> 1884   VR2W-107823     -5.691883     56.49690             25
+#> 1885   VR2W-107823     -5.691883     56.49690             25
+#> 1886   VR2W-107823     -5.691883     56.49690             25
+#> 1887   VR2W-107823     -5.691883     56.49690             25
+#> 1888   VR2W-107823     -5.691883     56.49690             25
+#> 1889   VR2W-107823     -5.691883     56.49690             25
+#> 1890   VR2W-107823     -5.691883     56.49690             25
+#> 1891   VR2W-107823     -5.691883     56.49690             25
+#> 1892   VR2W-107823     -5.691883     56.49690             25
+#> 1893   VR2W-107823     -5.691883     56.49690             25
+#> 1894   VR2W-107823     -5.691883     56.49690             25
+#> 1895   VR2W-107823     -5.691883     56.49690             25
+#> 1896   VR2W-107823     -5.691883     56.49690             25
+#> 1897   VR2W-107823     -5.691883     56.49690             25
+#> 1898   VR2W-107823     -5.691883     56.49690             25
+#> 1899   VR2W-107823     -5.691883     56.49690             25
+#> 1900   VR2W-107823     -5.691883     56.49690             25
+#> 1901   VR2W-107823     -5.691883     56.49690             25
+#> 1902   VR2W-107823     -5.691883     56.49690             25
+#> 1903   VR2W-107823     -5.691883     56.49690             25
+#> 1904   VR2W-107823     -5.691883     56.49690             25
+#> 1905   VR2W-107823     -5.691883     56.49690             25
+#> 1906   VR2W-107823     -5.691883     56.49690             25
+#> 1907   VR2W-107823     -5.691883     56.49690             25
+#> 1908   VR2W-107823     -5.691883     56.49690             25
+#> 1909   VR2W-107823     -5.691883     56.49690             25
+#> 1910   VR2W-107823     -5.691883     56.49690             25
+#> 1911   VR2W-107823     -5.691883     56.49690             25
+#> 1912   VR2W-107823     -5.691883     56.49690             25
+#> 1913   VR2W-107823     -5.691883     56.49690             25
+#> 1914   VR2W-107823     -5.691883     56.49690             25
+#> 1915   VR2W-107823     -5.691883     56.49690             25
+#> 1916   VR2W-107823     -5.691883     56.49690             25
+#> 1917   VR2W-107823     -5.691883     56.49690             25
+#> 1918   VR2W-107823     -5.691883     56.49690             25
+#> 1919   VR2W-107823     -5.691883     56.49690             25
+#> 1920   VR2W-107823     -5.691883     56.49690             25
+#> 1921   VR2W-107823     -5.691883     56.49690             25
+#> 1922   VR2W-107823     -5.691883     56.49690             25
+#> 1923   VR2W-107823     -5.691883     56.49690             25
+#> 1924   VR2W-107823     -5.691883     56.49690             25
+#> 1925   VR2W-107823     -5.691883     56.49690             25
+#> 1926   VR2W-107823     -5.691883     56.49690             25
+#> 1927   VR2W-107823     -5.691883     56.49690             25
+#> 1928   VR2W-107823     -5.691883     56.49690             25
+#> 1929   VR2W-107823     -5.691883     56.49690             25
+#> 1930   VR2W-107823     -5.691883     56.49690             25
+#> 1931   VR2W-107823     -5.691883     56.49690             25
+#> 1932   VR2W-107823     -5.691883     56.49690             25
+#> 1933   VR2W-107823     -5.691883     56.49690             25
+#> 1934   VR2W-107823     -5.691883     56.49690             25
+#> 1935   VR2W-107823     -5.691883     56.49690             25
+#> 1936   VR2W-107823     -5.691883     56.49690             25
+#> 1937   VR2W-107823     -5.691883     56.49690             25
+#> 1938   VR2W-107823     -5.691883     56.49690             25
+#> 1939   VR2W-107823     -5.691883     56.49690             25
+#> 1940   VR2W-107823     -5.691883     56.49690             25
+#> 1941   VR2W-107823     -5.691883     56.49690             25
+#> 1942   VR2W-107823     -5.691883     56.49690             25
+#> 1943   VR2W-107823     -5.691883     56.49690             25
+#> 1944   VR2W-107823     -5.691883     56.49690             25
+#> 1945   VR2W-107823     -5.691883     56.49690             25
+#> 1946   VR2W-107823     -5.691883     56.49690             25
+#> 1947   VR2W-107823     -5.691883     56.49690             25
+#> 1948   VR2W-107823     -5.691883     56.49690             25
+#> 1949   VR2W-107823     -5.691883     56.49690             25
+#> 1950   VR2W-107823     -5.691883     56.49690             25
+#> 1951   VR2W-107823     -5.691883     56.49690             25
+#> 1952   VR2W-107823     -5.691883     56.49690             25
+#> 1953   VR2W-107823     -5.691883     56.49690             25
+#> 1954   VR2W-107823     -5.691883     56.49690             25
+#> 1955   VR2W-107823     -5.691883     56.49690             25
+#> 1956   VR2W-107823     -5.691883     56.49690             25
+#> 1957   VR2W-107823     -5.691883     56.49690             25
+#> 1958   VR2W-107823     -5.691883     56.49690             25
+#> 1959   VR2W-107823     -5.691883     56.49690             25
+#> 1960   VR2W-107823     -5.691883     56.49690             25
+#> 1961   VR2W-107823     -5.691883     56.49690             25
+#> 1962   VR2W-107823     -5.691883     56.49690             25
+#> 1963   VR2W-107823     -5.691883     56.49690             25
+#> 1964   VR2W-107823     -5.691883     56.49690             25
+#> 1965   VR2W-107823     -5.691883     56.49690             25
+#> 1966   VR2W-107823     -5.691883     56.49690             25
+#> 1967   VR2W-107823     -5.691883     56.49690             25
+#> 1968   VR2W-107823     -5.691883     56.49690             25
+#> 1969   VR2W-107823     -5.691883     56.49690             25
+#> 1970   VR2W-107823     -5.691883     56.49690             25
+#> 1971   VR2W-107823     -5.691883     56.49690             25
+#> 1972   VR2W-107823     -5.691883     56.49690             25
+#> 1973   VR2W-107823     -5.691883     56.49690             25
+#> 1974   VR2W-107823     -5.691883     56.49690             25
+#> 1975   VR2W-107823     -5.691883     56.49690             25
+#> 1976   VR2W-107823     -5.691883     56.49690             25
+#> 1977   VR2W-107823     -5.691883     56.49690             25
+#> 1978   VR2W-107823     -5.691883     56.49690             25
+#> 1979   VR2W-107823     -5.691883     56.49690             25
+#> 1980   VR2W-107823     -5.691883     56.49690             25
+#> 1981   VR2W-107823     -5.691883     56.49690             25
+#> 1982   VR2W-107823     -5.691883     56.49690             25
+#> 1983   VR2W-107823     -5.691883     56.49690             25
+#> 1984   VR2W-107823     -5.691883     56.49690             25
+#> 1985   VR2W-107823     -5.691883     56.49690             25
+#> 1986   VR2W-107823     -5.691883     56.49690             25
+#> 1987   VR2W-107823     -5.691883     56.49690             25
+#> 1988   VR2W-107823     -5.691883     56.49690             25
+#> 1989   VR2W-107823     -5.691883     56.49690             25
+#> 1990   VR2W-107823     -5.691883     56.49690             25
+#> 1991   VR2W-107823     -5.691883     56.49690             25
+#> 1992   VR2W-107823     -5.691883     56.49690             25
+#> 1993   VR2W-107823     -5.691883     56.49690             25
+#> 1994   VR2W-107823     -5.691883     56.49690             25
+#> 1995   VR2W-107823     -5.691883     56.49690             25
+#> 1996   VR2W-107823     -5.691883     56.49690             25
+#> 1997   VR2W-107823     -5.691883     56.49690             25
+#> 1998   VR2W-107823     -5.691883     56.49690             25
+#> 1999   VR2W-107823     -5.691883     56.49690             25
+#> 2000   VR2W-107823     -5.691883     56.49690             25
+#> 2001   VR2W-107823     -5.691883     56.49690             25
+#> 2002   VR2W-107823     -5.691883     56.49690             25
+#> 2003   VR2W-107823     -5.691883     56.49690             25
+#> 2004   VR2W-107823     -5.691883     56.49690             25
+#> 2005   VR2W-107823     -5.691883     56.49690             25
+#> 2006   VR2W-107823     -5.691883     56.49690             25
+#> 2007   VR2W-107823     -5.691883     56.49690             25
+#> 2008   VR2W-107823     -5.691883     56.49690             25
+#> 2009   VR2W-107823     -5.691883     56.49690             25
+#> 2010   VR2W-107823     -5.691883     56.49690             25
+#> 2011   VR2W-107823     -5.691883     56.49690             25
+#> 2012   VR2W-107823     -5.691883     56.49690             25
+#> 2013   VR2W-107823     -5.691883     56.49690             25
+#> 2014   VR2W-107823     -5.691883     56.49690             25
+#> 2015   VR2W-107823     -5.691883     56.49690             25
+#> 2016   VR2W-107823     -5.691883     56.49690             25
+#> 2017   VR2W-107823     -5.691883     56.49690             25
+#> 2018   VR2W-107823     -5.691883     56.49690             25
+#> 2019   VR2W-107823     -5.691883     56.49690             25
+#> 2020   VR2W-107823     -5.691883     56.49690             25
+#> 2021   VR2W-107823     -5.691883     56.49690             25
+#> 2022   VR2W-107823     -5.691883     56.49690             25
+#> 2023   VR2W-107823     -5.691883     56.49690             25
+#> 2024   VR2W-107823     -5.691883     56.49690             25
+#> 2025   VR2W-107823     -5.691883     56.49690             25
+#> 2026   VR2W-107823     -5.691883     56.49690             25
+#> 2027   VR2W-107823     -5.691883     56.49690             25
+#> 2028   VR2W-107823     -5.691883     56.49690             25
+#> 2029   VR2W-107823     -5.691883     56.49690             25
+#> 2030   VR2W-107823     -5.691883     56.49690             25
+#> 2031   VR2W-107823     -5.691883     56.49690             25
+#> 2032   VR2W-107823     -5.691883     56.49690             25
+#> 2033   VR2W-107823     -5.691883     56.49690             25
+#> 2034   VR2W-107823     -5.691883     56.49690             25
+#> 2035   VR2W-107823     -5.691883     56.49690             25
+#> 2036   VR2W-107823     -5.691883     56.49690             25
+#> 2037   VR2W-107823     -5.691883     56.49690             25
+#> 2038   VR2W-107823     -5.691883     56.49690             25
+#> 2039   VR2W-107823     -5.691883     56.49690             25
+#> 2040   VR2W-107823     -5.691883     56.49690             25
+#> 2041   VR2W-107823     -5.691883     56.49690             25
+#> 2042   VR2W-107823     -5.691883     56.49690             25
+#> 2043   VR2W-107823     -5.691883     56.49690             25
+#> 2044   VR2W-107823     -5.691883     56.49690             25
+#> 2045   VR2W-107823     -5.691883     56.49690             25
+#> 2046   VR2W-107823     -5.691883     56.49690             25
+#> 2047   VR2W-107823     -5.691883     56.49690             25
+#> 2048   VR2W-107823     -5.691883     56.49690             25
+#> 2049   VR2W-107823     -5.691883     56.49690             25
+#> 2050   VR2W-107823     -5.691883     56.49690             25
+#> 2051   VR2W-107823     -5.691883     56.49690             25
+#> 2052   VR2W-107823     -5.691883     56.49690             25
+#> 2053   VR2W-107823     -5.691883     56.49690             25
+#> 2054   VR2W-107823     -5.691883     56.49690             25
+#> 2055   VR2W-107823     -5.691883     56.49690             25
+#> 2056   VR2W-107823     -5.691883     56.49690             25
+#> 2057   VR2W-107823     -5.691883     56.49690             25
+#> 2058   VR2W-107823     -5.691883     56.49690             25
+#> 2059   VR2W-107823     -5.691883     56.49690             25
+#> 2060   VR2W-107823     -5.691883     56.49690             25
+#> 2061   VR2W-107823     -5.691883     56.49690             25
+#> 2062   VR2W-107823     -5.691883     56.49690             25
+#> 2063   VR2W-107823     -5.691883     56.49690             25
+#> 2064   VR2W-107823     -5.691883     56.49690             25
+#> 2065   VR2W-107823     -5.691883     56.49690             25
+#> 2066   VR2W-107823     -5.691883     56.49690             25
+#> 2067   VR2W-107823     -5.691883     56.49690             25
+#> 2068   VR2W-107823     -5.691883     56.49690             25
+#> 2069   VR2W-107823     -5.691883     56.49690             25
+#> 2070   VR2W-107823     -5.691883     56.49690             25
+#> 2071   VR2W-107823     -5.691883     56.49690             25
+#> 2072   VR2W-107823     -5.691883     56.49690             25
+#> 2073   VR2W-107823     -5.691883     56.49690             25
+#> 2074   VR2W-107823     -5.691883     56.49690             25
+#> 2075   VR2W-107823     -5.691883     56.49690             25
+#> 2076   VR2W-107823     -5.691883     56.49690             25
+#> 2077   VR2W-107823     -5.691883     56.49690             25
+#> 2078   VR2W-107823     -5.691883     56.49690             25
+#> 2079   VR2W-107823     -5.691883     56.49690             25
+#> 2080   VR2W-107823     -5.691883     56.49690             25
+#> 2081   VR2W-107823     -5.691883     56.49690             25
+#> 2082   VR2W-107823     -5.691883     56.49690             25
+#> 2083   VR2W-107823     -5.691883     56.49690             25
+#> 2084   VR2W-107823     -5.691883     56.49690             25
+#> 2085   VR2W-107823     -5.691883     56.49690             25
+#> 2086   VR2W-107823     -5.691883     56.49690             25
+#> 2087   VR2W-107823     -5.691883     56.49690             25
+#> 2088   VR2W-107823     -5.691883     56.49690             25
+#> 2089   VR2W-107823     -5.691883     56.49690             25
+#> 2090   VR2W-107823     -5.691883     56.49690             25
+#> 2091   VR2W-107823     -5.691883     56.49690             25
+#> 2092   VR2W-107823     -5.691883     56.49690             25
+#> 2093   VR2W-107823     -5.691883     56.49690             25
+#> 2094   VR2W-107823     -5.691883     56.49690             25
+#> 2095   VR2W-107823     -5.691883     56.49690             25
+#> 2096   VR2W-107823     -5.691883     56.49690             25
+#> 2097   VR2W-107823     -5.691883     56.49690             25
+#> 2098   VR2W-107823     -5.691883     56.49690             25
+#> 2099   VR2W-107823     -5.691883     56.49690             25
+#> 2100   VR2W-107823     -5.691883     56.49690             25
+#> 2101   VR2W-107823     -5.691883     56.49690             25
+#> 2102   VR2W-107823     -5.691883     56.49690             25
+#> 2103   VR2W-107823     -5.691883     56.49690             25
+#> 2104   VR2W-107823     -5.691883     56.49690             25
+#> 2105   VR2W-107823     -5.691883     56.49690             25
+#> 2106   VR2W-107823     -5.691883     56.49690             25
+#> 2107   VR2W-107823     -5.691883     56.49690             25
+#> 2108   VR2W-107823     -5.691883     56.49690             25
+#> 2109   VR2W-107823     -5.691883     56.49690             25
+#> 2110   VR2W-107823     -5.691883     56.49690             25
+#> 2111   VR2W-107823     -5.691883     56.49690             25
+#> 2112   VR2W-107823     -5.691883     56.49690             25
+#> 2113   VR2W-107823     -5.691883     56.49690             25
+#> 2114   VR2W-107823     -5.691883     56.49690             25
+#> 2115   VR2W-107823     -5.691883     56.49690             25
+#> 2116   VR2W-107823     -5.691883     56.49690             25
+#> 2117   VR2W-107823     -5.691883     56.49690             25
+#> 2118   VR2W-107823     -5.691883     56.49690             25
+#> 2119   VR2W-107823     -5.691883     56.49690             25
+#> 2120   VR2W-107823     -5.691883     56.49690             25
+#> 2121   VR2W-107823     -5.691883     56.49690             25
+#> 2122   VR2W-107823     -5.691883     56.49690             25
+#> 2123   VR2W-107823     -5.691883     56.49690             25
+#> 2124   VR2W-107823     -5.691883     56.49690             25
+#> 2125   VR2W-107823     -5.691883     56.49690             25
+#> 2126   VR2W-107823     -5.691883     56.49690             25
+#> 2127   VR2W-107823     -5.691883     56.49690             25
+#> 2128   VR2W-107823     -5.691883     56.49690             25
+#> 2129   VR2W-107823     -5.691883     56.49690             25
+#> 2130   VR2W-107823     -5.691883     56.49690             25
+#> 2131   VR2W-107823     -5.691883     56.49690             25
+#> 2132   VR2W-107823     -5.691883     56.49690             25
+#> 2133   VR2W-107823     -5.691883     56.49690             25
+#> 2134   VR2W-107823     -5.691883     56.49690             25
+#> 2135   VR2W-107823     -5.691883     56.49690             25
+#> 2136   VR2W-107823     -5.691883     56.49690             25
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+#> 2138   VR2W-107823     -5.691883     56.49690             25
+#> 2139   VR2W-107823     -5.691883     56.49690             25
+#> 2140   VR2W-107823     -5.691883     56.49690             25
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+#> 2142   VR2W-107823     -5.691883     56.49690             25
+#> 2143   VR2W-107823     -5.691883     56.49690             25
+#> 2144   VR2W-107823     -5.691883     56.49690             25
+#> 2145   VR2W-107823     -5.691883     56.49690             25
+#> 2146   VR2W-107823     -5.691883     56.49690             25
+#> 2147   VR2W-107823     -5.691883     56.49690             25
+#> 2148   VR2W-107823     -5.691883     56.49690             25
+#> 2149   VR2W-107823     -5.691883     56.49690             25
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+#> 2151   VR2W-107823     -5.691883     56.49690             25
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+#> 2157   VR2W-107823     -5.691883     56.49690             25
+#> 2158   VR2W-107823     -5.691883     56.49690             25
+#> 2159   VR2W-107823     -5.691883     56.49690             25
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+#> 2161   VR2W-107823     -5.691883     56.49690             25
+#> 2162   VR2W-107823     -5.691883     56.49690             25
+#> 2163   VR2W-107823     -5.691883     56.49690             25
+#> 2164   VR2W-107823     -5.691883     56.49690             25
+#> 2165   VR2W-107823     -5.691883     56.49690             25
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+#> 2168   VR2W-107823     -5.691883     56.49690             25
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+#> 2170   VR2W-107823     -5.691883     56.49690             25
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+#> 2175   VR2W-107823     -5.691883     56.49690             25
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+#> 2182   VR2W-107823     -5.691883     56.49690             25
+#> 2183   VR2W-107823     -5.691883     56.49690             25
+#> 2184   VR2W-107823     -5.691883     56.49690             25
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+#> 2187   VR2W-107823     -5.691883     56.49690             25
+#> 2188   VR2W-107823     -5.691883     56.49690             25
+#> 2189   VR2W-107823     -5.691883     56.49690             25
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+#> 2193   VR2W-107823     -5.691883     56.49690             25
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+#> 2195   VR2W-107823     -5.691883     56.49690             25
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+#> 2200   VR2W-107823     -5.691883     56.49690             25
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+#> 2202   VR2W-107823     -5.691883     56.49690             25
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+#> 2204   VR2W-107823     -5.691883     56.49690             25
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+#> 2207   VR2W-107823     -5.691883     56.49690             25
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+#> 2209   VR2W-107823     -5.691883     56.49690             25
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+#> 2386   VR2W-107823     -5.691883     56.49690             25
+#> 2387   VR2W-107823     -5.691883     56.49690             25
+#> 2388   VR2W-107823     -5.691883     56.49690             25
+#> 2389   VR2W-107823     -5.691883     56.49690             25
+#> 2390   VR2W-107823     -5.691883     56.49690             25
+#> 2391   VR2W-107823     -5.691883     56.49690             25
+#> 2392   VR2W-107823     -5.691883     56.49690             25
+#> 2393   VR2W-107823     -5.691883     56.49690             25
+#> 2394   VR2W-107823     -5.691883     56.49690             25
+#> 2395   VR2W-107823     -5.691883     56.49690             25
+#> 2396   VR2W-107823     -5.691883     56.49690             25
+#> 2397   VR2W-107823     -5.691883     56.49690             25
+#> 2398   VR2W-107823     -5.691883     56.49690             25
+#> 2399   VR2W-107823     -5.691883     56.49690             25
+#> 2400   VR2W-107823     -5.691883     56.49690             25
+#> 2401   VR2W-107823     -5.691883     56.49690             25
+#> 2402   VR2W-107823     -5.691883     56.49690             25
+#> 2403   VR2W-107823     -5.691883     56.49690             25
+#> 2404   VR2W-107823     -5.691883     56.49690             25
+#> 2405   VR2W-107823     -5.691883     56.49690             25
+#> 2406   VR2W-107823     -5.691883     56.49690             25
+#> 2407   VR2W-107823     -5.691883     56.49690             25
+#> 2408   VR2W-107823     -5.691883     56.49690             25
+#> 2409   VR2W-107823     -5.691883     56.49690             25
+#> 2410   VR2W-107823     -5.691883     56.49690             25
+#> 2411   VR2W-107823     -5.691883     56.49690             25
+#> 2412   VR2W-107823     -5.691883     56.49690             25
+#> 2413   VR2W-107823     -5.691883     56.49690             25
+#> 2414   VR2W-107823     -5.691883     56.49690             25
+#> 2415   VR2W-107823     -5.691883     56.49690             25
+#> 2416   VR2W-107823     -5.691883     56.49690             25
+#> 2417   VR2W-107823     -5.691883     56.49690             25
+#> 2418   VR2W-107823     -5.691883     56.49690             25
+#> 2419   VR2W-107823     -5.691883     56.49690             25
+#> 2420   VR2W-107823     -5.691883     56.49690             25
+#> 2421   VR2W-107823     -5.691883     56.49690             25
+#> 2422   VR2W-107823     -5.691883     56.49690             25
+#> 2423   VR2W-107823     -5.691883     56.49690             25
+#> 2424   VR2W-107823     -5.691883     56.49690             25
+#> 2425   VR2W-107823     -5.691883     56.49690             25
+#> 2426   VR2W-107823     -5.691883     56.49690             25
+#> 2427   VR2W-107823     -5.691883     56.49690             25
+#> 2428   VR2W-107823     -5.691883     56.49690             25
+#> 2429   VR2W-107823     -5.691883     56.49690             25
+#> 2430   VR2W-107823     -5.691883     56.49690             25
+#> 2431   VR2W-107823     -5.691883     56.49690             25
+#> 2432   VR2W-107823     -5.691883     56.49690             25
+#> 2433   VR2W-107823     -5.691883     56.49690             25
+#> 2434   VR2W-107823     -5.691883     56.49690             25
+#> 2435   VR2W-107823     -5.691883     56.49690             25
+#> 2436   VR2W-107823     -5.691883     56.49690             25
+#> 2437   VR2W-107823     -5.691883     56.49690             25
+#> 2438   VR2W-107823     -5.691883     56.49690             25
+#> 2439   VR2W-107823     -5.691883     56.49690             25
+#> 2440   VR2W-107823     -5.691883     56.49690             25
+#> 2441   VR2W-107823     -5.691883     56.49690             25
+#> 2442   VR2W-107823     -5.691883     56.49690             25
+#> 2443   VR2W-107823     -5.691883     56.49690             25
+#> 2444   VR2W-107823     -5.691883     56.49690             25
+#> 2445   VR2W-107823     -5.691883     56.49690             25
+#> 2446   VR2W-107823     -5.691883     56.49690             25
+#> 2447   VR2W-107823     -5.691883     56.49690             25
+#> 2448   VR2W-107823     -5.691883     56.49690             25
+#> 2449   VR2W-107823     -5.691883     56.49690             25
+#> 2450   VR2W-107823     -5.691883     56.49690             25
+#> 2451   VR2W-107823     -5.691883     56.49690             25
+#> 2452   VR2W-107823     -5.691883     56.49690             25
+#> 2453   VR2W-107823     -5.691883     56.49690             25
+#> 2454   VR2W-107823     -5.691883     56.49690             25
+#> 2455   VR2W-107823     -5.691883     56.49690             25
+#> 2456   VR2W-107823     -5.691883     56.49690             25
+#> 2457   VR2W-107823     -5.691883     56.49690             25
+#> 2458   VR2W-107823     -5.691883     56.49690             25
+#> 2459   VR2W-107823     -5.691883     56.49690             25
+#> 2460   VR2W-107823     -5.691883     56.49690             25
+#> 2461   VR2W-107823     -5.691883     56.49690             25
+#> 2462   VR2W-107823     -5.691883     56.49690             25
+#> 2463   VR2W-107823     -5.691883     56.49690             25
+#> 2464   VR2W-107823     -5.691883     56.49690             25
+#> 2465   VR2W-107823     -5.691883     56.49690             25
+#> 2466   VR2W-107823     -5.691883     56.49690             25
+#> 2467   VR2W-107823     -5.691883     56.49690             25
+#> 2468   VR2W-107823     -5.691883     56.49690             25
+#> 2469   VR2W-107823     -5.691883     56.49690             25
+#> 2470   VR2W-107823     -5.691883     56.49690             25
+#> 2471   VR2W-107823     -5.691883     56.49690             25
+#> 2472   VR2W-107823     -5.691883     56.49690             25
+#> 2473   VR2W-107823     -5.691883     56.49690             25
+#> 2474   VR2W-107823     -5.691883     56.49690             25
+#> 2475   VR2W-107823     -5.691883     56.49690             25
+#> 2476   VR2W-107823     -5.691883     56.49690             25
+#> 2477   VR2W-107823     -5.691883     56.49690             25
+#> 2478   VR2W-107823     -5.691883     56.49690             25
+#> 2479   VR2W-107823     -5.691883     56.49690             25
+#> 2480   VR2W-113141     -5.755900     56.51000             50
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+#> 2483   VR2W-113141     -5.755900     56.51000             50
+#> 2484   VR2W-113141     -5.755900     56.51000             50
+#> 2485   VR2W-113141     -5.755900     56.51000             50
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+#> 2487   VR2W-113141     -5.755900     56.51000             50
+#> 2488   VR2W-113141     -5.755900     56.51000             50
+#> 2489   VR2W-113141     -5.755900     56.51000             50
+#> 2490   VR2W-113141     -5.755900     56.51000             50
+#> 2491   VR2W-113141     -5.755900     56.51000             50
+#> 2492   VR2W-113141     -5.755900     56.51000             50
+#> 2493   VR2W-113141     -5.755900     56.51000             50
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+#> 2500   VR2W-113141     -5.755900     56.51000             50
+#> 2501   VR2W-113141     -5.755900     56.51000             50
+#> 2502   VR2W-113141     -5.755900     56.51000             50
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+#> 2504   VR2W-113141     -5.755900     56.51000             50
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+#> 2605   VR2W-107823     -5.691883     56.49690             25
+#> 2606   VR2W-107823     -5.691883     56.49690             25
+#> 2607   VR2W-107823     -5.691883     56.49690             25
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+#> 2609   VR2W-107823     -5.691883     56.49690             25
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+#> 2668   VR2W-107823     -5.691883     56.49690             25
+#> 2669   VR2W-107823     -5.691883     56.49690             25
+#> 2670   VR2W-107823     -5.691883     56.49690             25
+#> 2671   VR2W-107823     -5.691883     56.49690             25
+#> 2672   VR2W-107823     -5.691883     56.49690             25
+#> 2673   VR2W-107823     -5.691883     56.49690             25
+#> 2674   VR2W-107823     -5.691883     56.49690             25
+#> 2675   VR2W-107823     -5.691883     56.49690             25
+#> 2676   VR2W-107823     -5.691883     56.49690             25
+#> 2677   VR2W-107823     -5.691883     56.49690             25
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+#> 2991   VR2W-113141     -5.755900     56.51000             50
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+#> 2999   VR2W-113141     -5.755900     56.51000             50
+#> 3000   VR2W-113141     -5.755900     56.51000             50
+#> 3001   VR2W-113141     -5.755900     56.51000             50
+#> 3002   VR2W-113141     -5.755900     56.51000             50
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+#> 3004   VR2W-113141     -5.755900     56.51000             50
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+#> 3007   VR2W-113141     -5.755900     56.51000             50
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+#> 3010   VR2W-113141     -5.755900     56.51000             50
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+#> 3020   VR2W-113141     -5.755900     56.51000             50
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+#> 3027   VR2W-107823     -5.691883     56.49690             25
+#> 3028   VR2W-107823     -5.691883     56.49690             25
+#> 3029   VR2W-107823     -5.691883     56.49690             25
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+#> 3034   VR2W-107823     -5.691883     56.49690             25
+#> 3035   VR2W-107823     -5.691883     56.49690             25
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+#> 3051  VR2AR-546136     -5.665000     56.48650            105
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+#> 3084   VR2W-113141     -5.755900     56.51000             50
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+#> 3093   VR2W-113141     -5.755900     56.51000             50
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+#> 3095   VR2W-113141     -5.755900     56.51000             50
+#> 3096   VR2W-113141     -5.755900     56.51000             50
+#> 3097   VR2W-113141     -5.755900     56.51000             50
+#> 3098   VR2W-113141     -5.755900     56.51000             50
+#> 3099   VR2W-107823     -5.691883     56.49690             25
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+#> 3101   VR2W-107823     -5.691883     56.49690             25
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+#> 3257   VR2W-108160     -5.704867     56.48890             25
+#> 3258   VR2W-108160     -5.704867     56.48890             25
+#> 3259   VR2W-108160     -5.704867     56.48890             25
+#> 3260   VR2W-108160     -5.704867     56.48890             25
+#> 3261   VR2W-108160     -5.704867     56.48890             25
+#> 3262   VR2W-108160     -5.704867     56.48890             25
+#> 3263   VR2W-108160     -5.704867     56.48890             25
+#> 3264   VR2W-108160     -5.704867     56.48890             25
+#> 3265  VR2AR-546136     -5.665000     56.48650            105
+#> 3266  VR2AR-546136     -5.665000     56.48650            105
+#> 3267  VR2AR-546136     -5.665000     56.48650            105
+#> 3268  VR2AR-546136     -5.665000     56.48650            105
+#> 3269  VR2AR-546136     -5.665000     56.48650            105
+#> 3270  VR2AR-546136     -5.665000     56.48650            105
+#> 3271  VR2AR-546136     -5.665000     56.48650            105
+#> 3272  VR2AR-546136     -5.665000     56.48650            105
+#> 3273  VR2AR-546136     -5.665000     56.48650            105
+#> 3274  VR2AR-546136     -5.665000     56.48650            105
+#> 3275  VR2AR-546136     -5.665000     56.48650            105
+#> 3276  VR2AR-546136     -5.665000     56.48650            105
+#> 3277  VR2AR-546136     -5.665000     56.48650            105
+#> 3278  VR2AR-546136     -5.665000     56.48650            105
+#> 3279  VR2AR-546136     -5.665000     56.48650            105
+#> 3280  VR2AR-546136     -5.665000     56.48650            105
+#> 3281  VR2AR-546136     -5.665000     56.48650            105
+#> 3282  VR2AR-546136     -5.665000     56.48650            105
+#> 3283  VR2AR-546136     -5.665000     56.48650            105
+#> 3284  VR2AR-546136     -5.665000     56.48650            105
+#> 3285  VR2AR-546136     -5.665000     56.48650            105
+#> 3286  VR2AR-546136     -5.665000     56.48650            105
+#> 3287  VR2AR-546136     -5.665000     56.48650            105
+#> 3288  VR2AR-546136     -5.665000     56.48650            105
+#> 3289  VR2AR-546136     -5.665000     56.48650            105
+#> 3290  VR2AR-546136     -5.665000     56.48650            105
+#> 3291   VR2W-108160     -5.704867     56.48890             25
+#> 3292   VR2W-108160     -5.704867     56.48890             25
+#> 3293   VR2W-108160     -5.704867     56.48890             25
+#> 3294   VR2W-108160     -5.704867     56.48890             25
+#> 3295   VR2W-108160     -5.704867     56.48890             25
+#> 3296   VR2W-113141     -5.755900     56.51000             50
+#> 3297   VR2W-113141     -5.755900     56.51000             50
+#> 3298   VR2W-113141     -5.755900     56.51000             50
+#> 3299   VR2W-113141     -5.755900     56.51000             50
+#> 3300   VR2W-113141     -5.755900     56.51000             50
+#> 3301   VR2W-113141     -5.755900     56.51000             50
+#> 3302   VR2W-113141     -5.755900     56.51000             50
+#> 3303   VR2W-113141     -5.755900     56.51000             50
+#> 3304   VR2W-113141     -5.755900     56.51000             50
+#> 3305   VR2W-113141     -5.755900     56.51000             50
+#> 3306   VR2W-113141     -5.755900     56.51000             50
+#> 3307   VR2W-113141     -5.755900     56.51000             50
+#> 3308   VR2W-113141     -5.755900     56.51000             50
+#> 3309   VR2W-113141     -5.755900     56.51000             50
+#> 3310   VR2W-113141     -5.755900     56.51000             50
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+#> 3312   VR2W-113141     -5.755900     56.51000             50
+#> 3313   VR2W-113141     -5.755900     56.51000             50
+#> 3314   VR2W-113141     -5.755900     56.51000             50
+#> 3315   VR2W-113141     -5.755900     56.51000             50
+#> 3316   VR2W-113141     -5.755900     56.51000             50
+#> 3317   VR2W-113141     -5.755900     56.51000             50
+#> 3318   VR2W-113141     -5.755900     56.51000             50
+#> 3319   VR2W-113141     -5.755900     56.51000             50
+#> 3320   VR2W-113141     -5.755900     56.51000             50
+#> 3321   VR2W-113141     -5.755900     56.51000             50
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+#> 3323   VR2W-113141     -5.755900     56.51000             50
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+#> 3325   VR2W-113141     -5.755900     56.51000             50
+#> 3326   VR2W-113141     -5.755900     56.51000             50
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+#> 3328   VR2W-113141     -5.755900     56.51000             50
+#> 3329   VR2W-113141     -5.755900     56.51000             50
+#> 3330   VR2W-113141     -5.755900     56.51000             50
+#> 3331   VR2W-113141     -5.755900     56.51000             50
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+#> 3333   VR2W-113141     -5.755900     56.51000             50
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+#> 3335   VR2W-113141     -5.755900     56.51000             50
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+#> 3338   VR2W-113141     -5.755900     56.51000             50
+#> 3339   VR2W-113141     -5.755900     56.51000             50
+#> 3340   VR2W-113141     -5.755900     56.51000             50
+#> 3341   VR2W-113141     -5.755900     56.51000             50
+#> 3342   VR2W-113141     -5.755900     56.51000             50
+#> 3343   VR2W-113141     -5.755900     56.51000             50
+#> 3344   VR2W-113141     -5.755900     56.51000             50
+#> 3345   VR2W-113141     -5.755900     56.51000             50
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+#> 3347   VR2W-113141     -5.755900     56.51000             50
+#> 3348   VR2W-113141     -5.755900     56.51000             50
+#> 3349   VR2W-113141     -5.755900     56.51000             50
+#> 3350   VR2W-113141     -5.755900     56.51000             50
+#> 3351   VR2W-113141     -5.755900     56.51000             50
+#> 3352   VR2W-113141     -5.755900     56.51000             50
+#> 3353   VR2W-113141     -5.755900     56.51000             50
+#> 3354   VR2W-113141     -5.755900     56.51000             50
+#> 3355   VR2W-113141     -5.755900     56.51000             50
+#> 3356   VR2W-113141     -5.755900     56.51000             50
+#> 3357   VR2W-113141     -5.755900     56.51000             50
+#> 3358   VR2W-113141     -5.755900     56.51000             50
+#> 3359   VR2W-113141     -5.755900     56.51000             50
+#> 3360   VR2W-113141     -5.755900     56.51000             50
+#> 3361   VR2W-113141     -5.755900     56.51000             50
+#> 3362   VR2W-113141     -5.755900     56.51000             50
+#> 3363   VR2W-113141     -5.755900     56.51000             50
+#> 3364   VR2W-113141     -5.755900     56.51000             50
+#> 3365   VR2W-113141     -5.755900     56.51000             50
+#> 3366   VR2W-113141     -5.755900     56.51000             50
+#> 3367   VR2W-113141     -5.755900     56.51000             50
+#> 3368   VR2W-113141     -5.755900     56.51000             50
+#> 3369   VR2W-113141     -5.755900     56.51000             50
+#> 3370   VR2W-113141     -5.755900     56.51000             50
+#> 3371   VR2W-113141     -5.755900     56.51000             50
+#> 3372   VR2W-113141     -5.755900     56.51000             50
+#> 3373   VR2W-113141     -5.755900     56.51000             50
+#> 3374   VR2W-113141     -5.755900     56.51000             50
+#> 3375   VR2W-113141     -5.755900     56.51000             50
+#> 3376   VR2W-113141     -5.755900     56.51000             50
+#> 3377   VR2W-113141     -5.755900     56.51000             50
+#> 3378   VR2W-113141     -5.755900     56.51000             50
+#> 3379   VR2W-113141     -5.755900     56.51000             50
+#> 3380   VR2W-113141     -5.755900     56.51000             50
+#> 3381   VR2W-113141     -5.755900     56.51000             50
+#> 3382   VR2W-113141     -5.755900     56.51000             50
+#> 3383   VR2W-113141     -5.755900     56.51000             50
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+#> 3506   VR2W-113141     -5.755900     56.51000             50
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+#> 3531   VR2W-113141     -5.755900     56.51000             50
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+#> 3533   VR2W-113141     -5.755900     56.51000             50
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+#> 3535   VR2W-113141     -5.755900     56.51000             50
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+#> 3542   VR2W-113141     -5.755900     56.51000             50
+#> 3543   VR2W-113141     -5.755900     56.51000             50
+#> 3544   VR2W-113141     -5.755900     56.51000             50
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+#> 3547   VR2W-113141     -5.755900     56.51000             50
+#> 3548   VR2W-113141     -5.755900     56.51000             50
+#> 3549   VR2W-113141     -5.755900     56.51000             50
+#> 3550   VR2W-113141     -5.755900     56.51000             50
+#> 3551   VR2W-113141     -5.755900     56.51000             50
+#> 3552   VR2W-113141     -5.755900     56.51000             50
+#> 3553   VR2W-113141     -5.755900     56.51000             50
+#> 3554   VR2W-113141     -5.755900     56.51000             50
+#> 3555   VR2W-113141     -5.755900     56.51000             50
+#> 3556   VR2W-113141     -5.755900     56.51000             50
+#> 3557   VR2W-113141     -5.755900     56.51000             50
+#> 3558   VR2W-113141     -5.755900     56.51000             50
+#> 3559   VR2W-113141     -5.755900     56.51000             50
+#> 3560   VR2W-113141     -5.755900     56.51000             50
+#> 3561   VR2W-113141     -5.755900     56.51000             50
+#> 3562   VR2W-113141     -5.755900     56.51000             50
+#> 3563   VR2W-113141     -5.755900     56.51000             50
+#> 3564   VR2W-113141     -5.755900     56.51000             50
+#> 3565   VR2W-113141     -5.755900     56.51000             50
+#> 3566   VR2W-113141     -5.755900     56.51000             50
+#> 3567   VR2W-113141     -5.755900     56.51000             50
+#> 3568   VR2W-113141     -5.755900     56.51000             50
+#> 3569   VR2W-113141     -5.755900     56.51000             50
+#> 3570   VR2W-113141     -5.755900     56.51000             50
+#> 3571   VR2W-113141     -5.755900     56.51000             50
+#> 3572   VR2W-113141     -5.755900     56.51000             50
+#> 3573   VR2W-113141     -5.755900     56.51000             50
+#> 3574   VR2W-113141     -5.755900     56.51000             50
+#> 3575   VR2W-113141     -5.755900     56.51000             50
+#> 3576   VR2W-113141     -5.755900     56.51000             50
+#> 3577   VR2W-113141     -5.755900     56.51000             50
+#> 3578   VR2W-113141     -5.755900     56.51000             50
+#> 3579   VR2W-113141     -5.755900     56.51000             50
+#> 3580   VR2W-113141     -5.755900     56.51000             50
+#> 3581   VR2W-113141     -5.755900     56.51000             50
+#> 3582   VR2W-113141     -5.755900     56.51000             50
+#> 3583   VR2W-113141     -5.755900     56.51000             50
+#> 3584   VR2W-113141     -5.755900     56.51000             50
+#> 3585   VR2W-113141     -5.755900     56.51000             50
+#> 3586   VR2W-113141     -5.755900     56.51000             50
+#> 3587   VR2W-113141     -5.755900     56.51000             50
+#> 3588   VR2W-113141     -5.755900     56.51000             50
+#> 3589   VR2W-113141     -5.755900     56.51000             50
+#> 3590   VR2W-113141     -5.755900     56.51000             50
+#> 3591   VR2W-113141     -5.755900     56.51000             50
+#> 3592   VR2W-113141     -5.755900     56.51000             50
+#> 3593   VR2W-113141     -5.755900     56.51000             50
+#> 3594   VR2W-113141     -5.755900     56.51000             50
+#> 3595   VR2W-113141     -5.755900     56.51000             50
+#> 3596   VR2W-113141     -5.755900     56.51000             50
+#> 3597   VR2W-113141     -5.755900     56.51000             50
+#> 3598   VR2W-113141     -5.755900     56.51000             50
+#> 3599   VR2W-113141     -5.755900     56.51000             50
+#> 3600   VR2W-113141     -5.755900     56.51000             50
+#> 3601   VR2W-113141     -5.755900     56.51000             50
+#> 3602   VR2W-113141     -5.755900     56.51000             50
+#> 3603   VR2W-113141     -5.755900     56.51000             50
+#> 3604   VR2W-113141     -5.755900     56.51000             50
+#> 3605   VR2W-113141     -5.755900     56.51000             50
+#> 3606   VR2W-113141     -5.755900     56.51000             50
+#> 3607   VR2W-113141     -5.755900     56.51000             50
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+#> 3610   VR2W-113141     -5.755900     56.51000             50
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+#> 3612   VR2W-113141     -5.755900     56.51000             50
+#> 3613   VR2W-113141     -5.755900     56.51000             50
+#> 3614   VR2W-113141     -5.755900     56.51000             50
+#> 3615   VR2W-113141     -5.755900     56.51000             50
+#> 3616   VR2W-113141     -5.755900     56.51000             50
+#> 3617   VR2W-113141     -5.755900     56.51000             50
+#> 3618   VR2W-113141     -5.755900     56.51000             50
+#> 3619   VR2W-113141     -5.755900     56.51000             50
+#> 3620   VR2W-113141     -5.755900     56.51000             50
+#> 3621   VR2W-113141     -5.755900     56.51000             50
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+#> 3626   VR2W-113141     -5.755900     56.51000             50
+#> 3627   VR2W-113141     -5.755900     56.51000             50
+#> 3628   VR2W-113141     -5.755900     56.51000             50
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+#> 3631   VR2W-113141     -5.755900     56.51000             50
+#> 3632   VR2W-113141     -5.755900     56.51000             50
+#> 3633   VR2W-113141     -5.755900     56.51000             50
+#> 3634   VR2W-113141     -5.755900     56.51000             50
+#> 3635   VR2W-113141     -5.755900     56.51000             50
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+#> 3637   VR2W-113141     -5.755900     56.51000             50
+#> 3638   VR2W-113141     -5.755900     56.51000             50
+#> 3639   VR2W-113141     -5.755900     56.51000             50
+#> 3640   VR2W-113141     -5.755900     56.51000             50
+#> 3641   VR2W-113141     -5.755900     56.51000             50
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+#> 3648   VR2W-113141     -5.755900     56.51000             50
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+#> 3650   VR2W-113141     -5.755900     56.51000             50
+#> 3651   VR2W-113141     -5.755900     56.51000             50
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+#> 3654   VR2W-113141     -5.755900     56.51000             50
+#> 3655   VR2W-113141     -5.755900     56.51000             50
+#> 3656   VR2W-113141     -5.755900     56.51000             50
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+#> 3659   VR2W-113141     -5.755900     56.51000             50
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+#> 3663   VR2W-113141     -5.755900     56.51000             50
+#> 3664   VR2W-113141     -5.755900     56.51000             50
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+#> 3832   VR2W-113141     -5.755900     56.51000             50
+#> 3833   VR2W-113141     -5.755900     56.51000             50
+#> 3834   VR2W-108160     -5.704867     56.48890             25
+#> 3835   VR2W-108160     -5.704867     56.48890             25
+#> 3836   VR2W-108160     -5.704867     56.48890             25
+#> 3837   VR2W-108160     -5.704867     56.48890             25
+#> 3838   VR2W-108160     -5.704867     56.48890             25
+#> 3839   VR2W-108160     -5.704867     56.48890             25
+#> 3840   VR2W-108160     -5.704867     56.48890             25
+#> 3841   VR2W-108160     -5.704867     56.48890             25
+#> 3842   VR2W-108160     -5.704867     56.48890             25
+#> 3843   VR2W-108160     -5.704867     56.48890             25
+#> 3844   VR2W-108160     -5.704867     56.48890             25
+#> 3845   VR2W-108160     -5.704867     56.48890             25
+#> 3846   VR2W-108160     -5.704867     56.48890             25
+#> 3847   VR2W-108160     -5.704867     56.48890             25
+#> 3848  VR2AR-546136     -5.665000     56.48650            105
+#> 3849  VR2AR-546136     -5.665000     56.48650            105
+#> 3850  VR2AR-546136     -5.665000     56.48650            105
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+#> 3855  VR2AR-546136     -5.665000     56.48650            105
+#> 3856  VR2AR-546136     -5.665000     56.48650            105
+#> 3857  VR2AR-546136     -5.665000     56.48650            105
+#> 3858  VR2AR-546136     -5.665000     56.48650            105
+#> 3859  VR2AR-546136     -5.665000     56.48650            105
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+#> 3874  VR2AR-546136     -5.665000     56.48650            105
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+#> 3876   VR2W-108160     -5.704867     56.48890             25
+#> 3877   VR2W-108160     -5.704867     56.48890             25
+#> 3878   VR2W-108160     -5.704867     56.48890             25
+#> 3879   VR2W-108160     -5.704867     56.48890             25
+#> 3880   VR2W-108160     -5.704867     56.48890             25
+#> 3881   VR2W-108160     -5.704867     56.48890             25
+#> 3882   VR2W-108160     -5.704867     56.48890             25
+#> 3883   VR2W-108160     -5.704867     56.48890             25
+#> 3884   VR2W-108160     -5.704867     56.48890             25
+#> 3885   VR2W-108160     -5.704867     56.48890             25
+#> 3886   VR2W-108160     -5.704867     56.48890             25
+#> 3887   VR2W-108160     -5.704867     56.48890             25
+#> 3888   VR2W-108160     -5.704867     56.48890             25
+#> 3889   VR2W-108160     -5.704867     56.48890             25
+#> 3890   VR2W-108160     -5.704867     56.48890             25
+#> 3891   VR2W-108160     -5.704867     56.48890             25
+#> 3892   VR2W-108160     -5.704867     56.48890             25
+#> 3893   VR2W-108160     -5.704867     56.48890             25
+#> 3894   VR2W-108160     -5.704867     56.48890             25
+#> 3895   VR2W-108160     -5.704867     56.48890             25
+#> 3896   VR2W-108160     -5.704867     56.48890             25
+#> 3897   VR2W-108160     -5.704867     56.48890             25
+#> 3898   VR2W-108160     -5.704867     56.48890             25
+#> 3899   VR2W-108160     -5.704867     56.48890             25
+#> 3900   VR2W-108160     -5.704867     56.48890             25
+#> 3901   VR2W-108160     -5.704867     56.48890             25
+#> 3902   VR2W-108160     -5.704867     56.48890             25
+#> 3903   VR2W-108160     -5.704867     56.48890             25
+#> 3904   VR2W-108160     -5.704867     56.48890             25
+#> 3905   VR2W-108160     -5.704867     56.48890             25
+#> 3906   VR2W-108160     -5.704867     56.48890             25
+#> 3907   VR2W-108160     -5.704867     56.48890             25
+#> 3908   VR2W-108160     -5.704867     56.48890             25
+#> 3909   VR2W-108160     -5.704867     56.48890             25
+#> 3910   VR2W-108160     -5.704867     56.48890             25
+#> 3911   VR2W-108160     -5.704867     56.48890             25
+#> 3912   VR2W-108160     -5.704867     56.48890             25
+#> 3913   VR2W-108160     -5.704867     56.48890             25
+#> 3914   VR2W-108160     -5.704867     56.48890             25
+#> 3915   VR2W-108160     -5.704867     56.48890             25
+#> 3916   VR2W-108160     -5.704867     56.48890             25
+#> 3917   VR2W-108160     -5.704867     56.48890             25
+#> 3918  VR2AR-546136     -5.665000     56.48650            105
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+#> 3962   VR2W-113141     -5.755900     56.51000             50
+#> 3963   VR2W-113141     -5.755900     56.51000             50
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+#> 3990   VR2W-113141     -5.755900     56.51000             50
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+#> 3993   VR2W-113141     -5.755900     56.51000             50
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+#> 3999   VR2W-113141     -5.755900     56.51000             50
+#> 4000   VR2W-113141     -5.755900     56.51000             50
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+#> 4002   VR2W-113141     -5.755900     56.51000             50
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+#> 4008   VR2W-113141     -5.755900     56.51000             50
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+#> 4135  VR2AR-546136     -5.665000     56.48650            105
+#> 4136  VR2AR-546136     -5.665000     56.48650            105
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+#> 4143      VR2-6720     -5.627150     56.50808             50
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+#> 4206   VR2W-108160     -5.704867     56.48890             25
+#> 4207   VR2W-108160     -5.704867     56.48890             25
+#> 4208   VR2W-108160     -5.704867     56.48890             25
+#> 4209   VR2W-108160     -5.704867     56.48890             25
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+#> 4217   VR2W-108160     -5.704867     56.48890             25
+#> 4218   VR2W-108160     -5.704867     56.48890             25
+#> 4219  VR2AR-546136     -5.665000     56.48650            105
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+#> 5586  VR2AR-546380     -5.637917     56.44800             25
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+#> 5613  VR2AR-546136     -5.626250     56.44810             75
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+#> 5621  VR2AR-546131     -5.612700     56.37988             35
+#> 5622  VR2AR-546131     -5.612700     56.37988             35
+#> 5623  VR2AR-546131     -5.612700     56.37988             35
+#> 5624  VR2AR-546131     -5.612700     56.37988             35
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+#> 5626  VR2AR-546131     -5.612700     56.37988             35
+#> 5627  VR2AR-546131     -5.612700     56.37988             35
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+#> 5630  VR2AR-546131     -5.612700     56.37988             35
+#> 5631  VR2AR-546131     -5.612700     56.37988             35
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+#> 5634  VR2AR-546131     -5.612700     56.37988             35
+#> 5635  VR2AR-546131     -5.612700     56.37988             35
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+#> 5637  VR2AR-546131     -5.612700     56.37988             35
+#> 5638  VR2AR-546131     -5.612700     56.37988             35
+#> 5639  VR2AR-546131     -5.612700     56.37988             35
+#> 5640  VR2AR-546131     -5.612700     56.37988             35
+#> 5641  VR2AR-546131     -5.612700     56.37988             35
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+#> 5648  VR2AR-546136     -5.626250     56.44810             75
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+#> 5650   VR2W-108161     -5.605383     56.46018             25
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+#> 5669  VR2AR-546131     -5.612700     56.37988             35
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+#> 5713  VR2AR-546380     -5.637917     56.44800             25
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+#> 5730  VR2AR-546136     -5.626250     56.44810             75
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+#> 5735  VR2AR-546133     -5.701717     56.49747             90
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+#> 5740  VR2AR-546133     -5.701717     56.49747             90
+#> 5741  VR2AR-546133     -5.701717     56.49747             90
+#> 5742      VR2-5637     -5.692417     56.49913             25
+#> 5743      VR2-5637     -5.692417     56.49913             25
+#> 5744      VR2-5637     -5.692417     56.49913             25
+#> 5745      VR2-5637     -5.692417     56.49913             25
+#> 5746      VR2-5637     -5.692417     56.49913             25
+#> 5747      VR2-5637     -5.692417     56.49913             25
+#> 5748      VR2-5637     -5.692417     56.49913             25
+#> 5749      VR2-5637     -5.692417     56.49913             25
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+#> 5751      VR2-5637     -5.692417     56.49913             25
+#> 5752      VR2-5637     -5.692417     56.49913             25
+#> 5753      VR2-5637     -5.692417     56.49913             25
+#> 5754      VR2-5637     -5.692417     56.49913             25
+#> 5755      VR2-5637     -5.692417     56.49913             25
+#> 5756      VR2-5637     -5.692417     56.49913             25
+#> 5757      VR2-5637     -5.692417     56.49913             25
+#> 5758      VR2-5637     -5.692417     56.49913             25
+#> 5759      VR2-5637     -5.692417     56.49913             25
+#> 5760      VR2-5637     -5.692417     56.49913             25
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+#> 5783   VR2W-108161     -5.605383     56.46018             25
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+#> 5914  VR2AR-546131     -5.612700     56.37988             35
+#> 5915  VR2AR-546131     -5.612700     56.37988             35
+#> 5916  VR2AR-546131     -5.612700     56.37988             35
+#> 5917  VR2AR-546131     -5.612700     56.37988             35
+#> 5918  VR2AR-546131     -5.612700     56.37988             35
+#> 5919  VR2AR-546131     -5.612700     56.37988             35
+#> 5920  VR2AR-546131     -5.612700     56.37988             35
+#> 5921  VR2AR-546131     -5.612700     56.37988             35
+#> 5922  VR2AR-546131     -5.612700     56.37988             35
+#> 5923  VR2AR-546131     -5.612700     56.37988             35
+#> 5924  VR2AR-546131     -5.612700     56.37988             35
+#> 5925  VR2AR-546131     -5.612700     56.37988             35
+#> 5926  VR2AR-546131     -5.612700     56.37988             35
+#> 5927  VR2AR-546131     -5.612700     56.37988             35
+#> 5928  VR2AR-546131     -5.612700     56.37988             35
+#> 5929  VR2AR-546131     -5.612700     56.37988             35
+#> 5930  VR2AR-546131     -5.612700     56.37988             35
+#> 5931  VR2AR-546131     -5.612700     56.37988             35
+#> 5932  VR2AR-546131     -5.612700     56.37988             35
+#> 5933  VR2AR-546131     -5.612700     56.37988             35
+#> 5934  VR2AR-546131     -5.612700     56.37988             35
+#> 5935  VR2AR-546131     -5.612700     56.37988             35
+#> 5936  VR2AR-546131     -5.612700     56.37988             35
+#> 5937  VR2AR-546131     -5.612700     56.37988             35
+#> 5938  VR2AR-546131     -5.612700     56.37988             35
+#> 5939  VR2AR-546131     -5.612700     56.37988             35
+#> 5940  VR2AR-546131     -5.612700     56.37988             35
+#> 5941  VR2AR-546131     -5.612700     56.37988             35
+#> 5942  VR2AR-546131     -5.612700     56.37988             35
+#> 5943  VR2AR-546131     -5.612700     56.37988             35
+#> 5944  VR2AR-546131     -5.612700     56.37988             35
+#> 5945  VR2AR-546131     -5.612700     56.37988             35
+#> 5946  VR2AR-546131     -5.612700     56.37988             35
+#> 5947  VR2AR-546131     -5.612700     56.37988             35
+#> 5948  VR2AR-546131     -5.612700     56.37988             35
+#> 5949  VR2AR-546131     -5.612700     56.37988             35
+#> 5950  VR2AR-546131     -5.612700     56.37988             35
+#> 5951  VR2AR-546131     -5.612700     56.37988             35
+#> 5952  VR2AR-546131     -5.612700     56.37988             35
+#> 5953  VR2AR-546131     -5.612700     56.37988             35
+#> 5954  VR2AR-546131     -5.612700     56.37988             35
+#> 5955  VR2AR-546131     -5.612700     56.37988             35
+#> 5956  VR2AR-546131     -5.612700     56.37988             35
+#> 5957  VR2AR-546131     -5.612700     56.37988             35
+#> 5958  VR2AR-546131     -5.612700     56.37988             35
+#> 5959  VR2AR-546131     -5.612700     56.37988             35
+#> 5960  VR2AR-546131     -5.612700     56.37988             35
+#> 5961  VR2AR-546131     -5.612700     56.37988             35
+#> 5962  VR2AR-546131     -5.612700     56.37988             35
+#> 5963  VR2AR-546131     -5.612700     56.37988             35
+#> 5964  VR2AR-546131     -5.612700     56.37988             35
+#> 5965  VR2AR-546131     -5.612700     56.37988             35
+#> 5966  VR2AR-546131     -5.612700     56.37988             35
+#> 5967  VR2AR-546131     -5.612700     56.37988             35
+#> 5968  VR2AR-546131     -5.612700     56.37988             35
+#> 5969  VR2AR-546131     -5.612700     56.37988             35
+#> 5970  VR2AR-546131     -5.612700     56.37988             35
+#> 5971  VR2AR-546131     -5.612700     56.37988             35
+#> 5972  VR2AR-546131     -5.612700     56.37988             35
+#> 5973  VR2AR-546131     -5.612700     56.37988             35
+#> 5974  VR2AR-546131     -5.612700     56.37988             35
+#> 5975  VR2AR-546131     -5.612700     56.37988             35
+#> 5976  VR2AR-546131     -5.612700     56.37988             35
+#> 5977  VR2AR-546131     -5.612700     56.37988             35
+#> 5978  VR2AR-546131     -5.612700     56.37988             35
+#> 5979  VR2AR-546131     -5.612700     56.37988             35
+#> 5980  VR2AR-546131     -5.612700     56.37988             35
+#> 5981  VR2AR-546131     -5.612700     56.37988             35
+#> 5982  VR2AR-546131     -5.612700     56.37988             35
+#> 5983  VR2AR-546131     -5.612700     56.37988             35
+#> 5984  VR2AR-546131     -5.612700     56.37988             35
+#> 5985  VR2AR-546131     -5.612700     56.37988             35
+#> 5986  VR2AR-546131     -5.612700     56.37988             35
+#> 5987  VR2AR-546131     -5.612700     56.37988             35
+#> 5988  VR2AR-546131     -5.612700     56.37988             35
+#> 5989  VR2AR-546131     -5.612700     56.37988             35
+#> 5990  VR2AR-546131     -5.612700     56.37988             35
+#> 5991  VR2AR-546131     -5.612700     56.37988             35
+#> 5992  VR2AR-546131     -5.612700     56.37988             35
+#> 5993  VR2AR-546131     -5.612700     56.37988             35
+#> 5994  VR2AR-546131     -5.612700     56.37988             35
+#> 5995  VR2AR-546131     -5.612700     56.37988             35
+#> 5996  VR2AR-546131     -5.612700     56.37988             35
+#> 5997  VR2AR-546131     -5.612700     56.37988             35
+#> 5998  VR2AR-546131     -5.612700     56.37988             35
+#> 5999  VR2AR-546131     -5.612700     56.37988             35
+#> 6000  VR2AR-546131     -5.612700     56.37988             35
+#> 6001  VR2AR-546131     -5.612700     56.37988             35
+#> 6002  VR2AR-546131     -5.612700     56.37988             35
+#> 6003  VR2AR-546131     -5.612700     56.37988             35
+#> 6004  VR2AR-546131     -5.612700     56.37988             35
+#> 6005  VR2AR-546131     -5.612700     56.37988             35
+#> 6006  VR2AR-546131     -5.612700     56.37988             35
+#> 6007  VR2AR-546131     -5.612700     56.37988             35
+#> 6008  VR2AR-546131     -5.612700     56.37988             35
+#> 6009  VR2AR-546131     -5.612700     56.37988             35
+#> 6010  VR2AR-546131     -5.612700     56.37988             35
+#> 6011  VR2AR-546131     -5.612700     56.37988             35
+#> 6012  VR2AR-546131     -5.612700     56.37988             35
+#> 6013  VR2AR-546131     -5.612700     56.37988             35
+#> 6014  VR2AR-546131     -5.612700     56.37988             35
+#> 6015  VR2AR-546131     -5.612700     56.37988             35
+#> 6016  VR2AR-546131     -5.612700     56.37988             35
+#> 6017  VR2AR-546131     -5.612700     56.37988             35
+#> 6018  VR2AR-546131     -5.612700     56.37988             35
+#> 6019  VR2AR-546131     -5.612700     56.37988             35
+#> 6020  VR2AR-546131     -5.612700     56.37988             35
+#> 6021  VR2AR-546131     -5.612700     56.37988             35
+#> 6022  VR2AR-546131     -5.612700     56.37988             35
+#> 6023  VR2AR-546131     -5.612700     56.37988             35
+#> 6024  VR2AR-546131     -5.612700     56.37988             35
+#> 6025  VR2AR-546131     -5.612700     56.37988             35
+#> 6026  VR2AR-546131     -5.612700     56.37988             35
+#> 6027  VR2AR-546131     -5.612700     56.37988             35
+#> 6028  VR2AR-546131     -5.612700     56.37988             35
+#> 6029  VR2AR-546131     -5.612700     56.37988             35
+#> 6030  VR2AR-546131     -5.612700     56.37988             35
+#> 6031  VR2AR-546131     -5.612700     56.37988             35
+#> 6032  VR2AR-546131     -5.612700     56.37988             35
+#> 6033  VR2AR-546131     -5.612700     56.37988             35
+#> 6034  VR2AR-546131     -5.612700     56.37988             35
+#> 6035  VR2AR-546131     -5.612700     56.37988             35
+#> 6036  VR2AR-546131     -5.612700     56.37988             35
+#> 6037  VR2AR-546131     -5.612700     56.37988             35
+#> 6038  VR2AR-546131     -5.612700     56.37988             35
+#> 6039  VR2AR-546131     -5.612700     56.37988             35
+#> 6040  VR2AR-546131     -5.612700     56.37988             35
+#> 6041  VR2AR-546131     -5.612700     56.37988             35
+#> 6042  VR2AR-546131     -5.612700     56.37988             35
+#> 6043  VR2AR-546131     -5.612700     56.37988             35
+#> 6044  VR2AR-546131     -5.612700     56.37988             35
+#> 6045  VR2AR-546131     -5.612700     56.37988             35
+#> 6046  VR2AR-546131     -5.612700     56.37988             35
+#> 6047  VR2AR-546131     -5.612700     56.37988             35
+#> 6048  VR2AR-546131     -5.612700     56.37988             35
+#> 6049  VR2AR-546131     -5.612700     56.37988             35
+#> 6050  VR2AR-546131     -5.612700     56.37988             35
+#> 6051  VR2AR-546131     -5.612700     56.37988             35
+#> 6052  VR2AR-546380     -5.637917     56.44800             25
+#> 6053  VR2AR-546380     -5.637917     56.44800             25
+#> 6054  VR2AR-546380     -5.637917     56.44800             25
+#> 6055  VR2AR-546380     -5.637917     56.44800             25
+#> 6056  VR2AR-546380     -5.637917     56.44800             25
+#> 6057  VR2AR-546136     -5.626250     56.44810             75
+#> 6058  VR2AR-546136     -5.626250     56.44810             75
+#> 6059  VR2AR-546136     -5.626250     56.44810             75
+#> 6060  VR2AR-546136     -5.626250     56.44810             75
+#> 6061  VR2AR-546136     -5.626250     56.44810             75
+#> 6062  VR2AR-546136     -5.626250     56.44810             75
+#> 6063  VR2AR-546136     -5.626250     56.44810             75
+#> 6064  VR2AR-546136     -5.626250     56.44810             75
+#> 6065  VR2AR-546136     -5.626250     56.44810             75
+#> 6066  VR2AR-546134     -5.643867     56.38278            145
+#> 6067  VR2AR-546134     -5.643867     56.38278            145
+#> 6068  VR2AR-546134     -5.643867     56.38278            145
+#> 6069  VR2AR-546134     -5.643867     56.38278            145
+#> 6070  VR2AR-546134     -5.643867     56.38278            145
+#> 6071  VR2AR-546134     -5.643867     56.38278            145
+#> 6072  VR2AR-546134     -5.643867     56.38278            145
+#> 6073  VR2AR-546134     -5.643867     56.38278            145
+#> 6074  VR2AR-546134     -5.643867     56.38278            145
+#> 6075  VR2AR-546134     -5.643867     56.38278            145
+#> 6076  VR2AR-546134     -5.643867     56.38278            145
+#> 6077  VR2AR-546134     -5.643867     56.38278            145
+#> 6078  VR2AR-546134     -5.643867     56.38278            145
+#> 6079  VR2AR-546134     -5.643867     56.38278            145
+#> 6080  VR2AR-546134     -5.643867     56.38278            145
+#> 6081  VR2AR-546134     -5.643867     56.38278            145
+#> 6082  VR2AR-546134     -5.643867     56.38278            145
+#> 6083  VR2AR-546134     -5.643867     56.38278            145
+#> 6084  VR2AR-546134     -5.643867     56.38278            145
+#> 6085  VR2AR-546134     -5.643867     56.38278            145
+#> 6086  VR2AR-546134     -5.643867     56.38278            145
+#> 6087  VR2AR-546134     -5.643867     56.38278            145
+#> 6088  VR2AR-546134     -5.643867     56.38278            145
+#> 6089  VR2AR-546134     -5.643867     56.38278            145
+#> 6090  VR2AR-546134     -5.643867     56.38278            145
+#> 6091  VR2AR-546134     -5.643867     56.38278            145
+#> 6092  VR2AR-546134     -5.643867     56.38278            145
+#> 6093  VR2AR-546134     -5.643867     56.38278            145
+#> 6094  VR2AR-546134     -5.643867     56.38278            145
+#> 6095  VR2AR-546134     -5.643867     56.38278            145
+#> 6096  VR2AR-546134     -5.643867     56.38278            145
+#> 6097  VR2AR-546134     -5.643867     56.38278            145
+#> 6098  VR2AR-546134     -5.643867     56.38278            145
+#> 6099  VR2AR-546134     -5.643867     56.38278            145
+#> 6100  VR2AR-546134     -5.643867     56.38278            145
+#> 6101  VR2AR-546134     -5.643867     56.38278            145
+#> 6102  VR2AR-546134     -5.643867     56.38278            145
+#> 6103  VR2AR-546134     -5.643867     56.38278            145
+#> 6104  VR2AR-546134     -5.643867     56.38278            145
+#> 6105  VR2AR-546131     -5.612700     56.37988             35
+#> 6106  VR2AR-546131     -5.612700     56.37988             35
+#> 6107  VR2AR-546131     -5.612700     56.37988             35
+#> 6108  VR2AR-546131     -5.612700     56.37988             35
+#> 6109  VR2AR-546131     -5.612700     56.37988             35
+#> 6110  VR2AR-546131     -5.612700     56.37988             35
+#> 6111  VR2AR-546131     -5.612700     56.37988             35
+#> 6112  VR2AR-546131     -5.612700     56.37988             35
+#> 6113  VR2AR-546131     -5.612700     56.37988             35
+#> 6114  VR2AR-546131     -5.612700     56.37988             35
+#> 6115  VR2AR-546131     -5.612700     56.37988             35
+#> 6116  VR2AR-546131     -5.612700     56.37988             35
+#> 6117  VR2AR-546131     -5.612700     56.37988             35
+#> 6118  VR2AR-546131     -5.612700     56.37988             35
+#> 6119  VR2AR-546131     -5.612700     56.37988             35
+#> 6120  VR2AR-546131     -5.612700     56.37988             35
+#> 6121  VR2AR-546131     -5.612700     56.37988             35
+#> 6122  VR2AR-546131     -5.612700     56.37988             35
+#> 6123  VR2AR-546131     -5.612700     56.37988             35
+#> 6124  VR2AR-546131     -5.612700     56.37988             35
+#> 6125  VR2AR-546131     -5.612700     56.37988             35
+#> 6126  VR2AR-546131     -5.612700     56.37988             35
+#> 6127  VR2AR-546131     -5.612700     56.37988             35
+#> 6128  VR2AR-546131     -5.612700     56.37988             35
+#> 6129  VR2AR-546131     -5.612700     56.37988             35
+#> 6130  VR2AR-546131     -5.612700     56.37988             35
+#> 6131  VR2AR-546131     -5.612700     56.37988             35
+#> 6132  VR2AR-546131     -5.612700     56.37988             35
+#> 6133  VR2AR-546131     -5.612700     56.37988             35
+#> 6134  VR2AR-546131     -5.612700     56.37988             35
+#> 6135  VR2AR-546131     -5.612700     56.37988             35
+#> 6136  VR2AR-546134     -5.643867     56.38278            145
+#> 6137  VR2AR-546134     -5.643867     56.38278            145
+#> 6138  VR2AR-546134     -5.643867     56.38278            145
+#> 6139  VR2AR-546134     -5.643867     56.38278            145
+#> 6140  VR2AR-546134     -5.643867     56.38278            145
+#> 6141  VR2AR-546134     -5.643867     56.38278            145
+#> 6142  VR2AR-546134     -5.643867     56.38278            145
+#> 6143  VR2AR-546134     -5.643867     56.38278            145
+#> 6144  VR2AR-546134     -5.643867     56.38278            145
+#> 6145  VR2AR-546134     -5.643867     56.38278            145
+#> 6146  VR2AR-546134     -5.643867     56.38278            145
+#> 6147  VR2AR-546134     -5.643867     56.38278            145
+#> 6148  VR2AR-546134     -5.643867     56.38278            145
+#> 6149  VR2AR-546134     -5.643867     56.38278            145
+#> 6150  VR2AR-546134     -5.643867     56.38278            145
+#> 6151  VR2AR-546136     -5.626250     56.44810             75
+#> 6152  VR2AR-546136     -5.626250     56.44810             75
+#> 6153      VR2-5637     -5.692417     56.49913             25
+#> 6154      VR2-5637     -5.692417     56.49913             25
+#> 6155      VR2-5637     -5.692417     56.49913             25
+#> 6156   VR2W-108161     -5.605383     56.46018             25
+#> 6157   VR2W-108161     -5.605383     56.46018             25
+#> 6158   VR2W-108161     -5.605383     56.46018             25
+#> 6159   VR2W-108161     -5.605383     56.46018             25
+#> 6160   VR2W-108161     -5.605383     56.46018             25
+#> 6161   VR2W-108161     -5.605383     56.46018             25
+#> 6162   VR2W-108161     -5.605383     56.46018             25
+#> 6163   VR2W-108161     -5.605383     56.46018             25
+#> 6164   VR2W-108161     -5.605383     56.46018             25
+#> 6165   VR2W-108161     -5.605383     56.46018             25
+#> 6166   VR2W-108161     -5.605383     56.46018             25
+#> 6167   VR2W-108161     -5.605383     56.46018             25
+#> 6168   VR2W-108161     -5.605383     56.46018             25
+#> 6169   VR2W-108161     -5.605383     56.46018             25
+#> 6170   VR2W-108161     -5.605383     56.46018             25
+#> 6171  VR2AR-546136     -5.626250     56.44810             75
+#> 6172  VR2AR-546136     -5.626250     56.44810             75
+#> 6173  VR2AR-546131     -5.612700     56.37988             35
+#> 6174  VR2AR-546131     -5.612700     56.37988             35
+#> 6175  VR2AR-546131     -5.612700     56.37988             35
+#> 6176  VR2AR-546131     -5.612700     56.37988             35
+#> 6177  VR2AR-546131     -5.612700     56.37988             35
+#> 6178  VR2AR-546131     -5.612700     56.37988             35
+#> 6179  VR2AR-546131     -5.612700     56.37988             35
+#> 6180  VR2AR-546131     -5.612700     56.37988             35
+#> 6181  VR2AR-546131     -5.612700     56.37988             35
+#> 6182  VR2AR-546131     -5.612700     56.37988             35
+#> 6183  VR2AR-546131     -5.612700     56.37988             35
+#> 6184  VR2AR-546131     -5.612700     56.37988             35
+#> 6185  VR2AR-546131     -5.612700     56.37988             35
+#> 6186  VR2AR-546131     -5.612700     56.37988             35
+#> 6187  VR2AR-546131     -5.612700     56.37988             35
+#> 6188  VR2AR-546131     -5.612700     56.37988             35
+#> 6189  VR2AR-546131     -5.612700     56.37988             35
+#> 6190  VR2AR-546131     -5.612700     56.37988             35
+#> 6191  VR2AR-546131     -5.612700     56.37988             35
+#> 6192  VR2AR-546131     -5.612700     56.37988             35
+#> 6193  VR2AR-546131     -5.612700     56.37988             35
+#> 6194  VR2AR-546131     -5.612700     56.37988             35
+#> 6195  VR2AR-546131     -5.612700     56.37988             35
+#> 6196  VR2AR-546131     -5.612700     56.37988             35
+#> 6197  VR2AR-546131     -5.612700     56.37988             35
+#> 6198  VR2AR-546131     -5.612700     56.37988             35
+#> 6199  VR2AR-546131     -5.612700     56.37988             35
+#> 6200  VR2AR-546131     -5.612700     56.37988             35
+#> 6201  VR2AR-546131     -5.612700     56.37988             35
+#> 6202  VR2AR-546131     -5.612700     56.37988             35
+#> 6203  VR2AR-546131     -5.612700     56.37988             35
+#> 6204  VR2AR-546131     -5.612700     56.37988             35
+#> 6205  VR2AR-546131     -5.612700     56.37988             35
+#> 6206  VR2AR-546131     -5.612700     56.37988             35
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+#> 6500   VR2W-108158     -5.619533     56.37413             25
+#> 6501   VR2W-108158     -5.619533     56.37413             25
+#> 6502   VR2W-108160     -5.631733     56.37447             50
+#> 6503   VR2W-108160     -5.631733     56.37447             50
+#> 6504   VR2W-108160     -5.631733     56.37447             50
+#> 6505   VR2W-108160     -5.631733     56.37447             50
+#> 6506   VR2W-108160     -5.631733     56.37447             50
+#> 6507   VR2W-108160     -5.631733     56.37447             50
+#> 6508   VR2W-108160     -5.631733     56.37447             50
+#> 6509   VR2W-108160     -5.631733     56.37447             50
+#> 6510   VR2W-108160     -5.631733     56.37447             50
+#> 6511   VR2W-108160     -5.631733     56.37447             50
+#> 6512   VR2W-108160     -5.631733     56.37447             50
+#> 6513   VR2W-108160     -5.631733     56.37447             50
+#> 6514   VR2W-108160     -5.631733     56.37447             50
+#> 6515   VR2W-108160     -5.631733     56.37447             50
+#> 6516   VR2W-108160     -5.631733     56.37447             50
+#> 6517   VR2W-108160     -5.631733     56.37447             50
+#> 6518   VR2W-108160     -5.631733     56.37447             50
+#> 6519   VR2W-108160     -5.631733     56.37447             50
+#> 6520   VR2W-108160     -5.631733     56.37447             50
+#> 6521   VR2W-108160     -5.631733     56.37447             50
+#> 6522   VR2W-108160     -5.631733     56.37447             50
+#> 6523   VR2W-108160     -5.631733     56.37447             50
+#> 6524   VR2W-108160     -5.631733     56.37447             50
+#> 6525   VR2W-108160     -5.631733     56.37447             50
+#> 6526   VR2W-108160     -5.631733     56.37447             50
+#> 6527   VR2W-108160     -5.631733     56.37447             50
+#> 6528   VR2W-108160     -5.631733     56.37447             50
+#> 6529   VR2W-108160     -5.631733     56.37447             50
+#> 6530   VR2W-108160     -5.631733     56.37447             50
+#> 6531   VR2W-108160     -5.631733     56.37447             50
+#> 6532   VR2W-108160     -5.631733     56.37447             50
+#> 6533   VR2W-108160     -5.631733     56.37447             50
+#> 6534   VR2W-108160     -5.631733     56.37447             50
+#> 6535   VR2W-108160     -5.631733     56.37447             50
+#> 6536   VR2W-108160     -5.631733     56.37447             50
+#> 6537   VR2W-108160     -5.631733     56.37447             50
+#> 6538   VR2W-108160     -5.631733     56.37447             50
+#> 6539   VR2W-108160     -5.631733     56.37447             50
+#> 6540   VR2W-108160     -5.631733     56.37447             50
+#> 6541   VR2W-108160     -5.631733     56.37447             50
+#> 6542   VR2W-108160     -5.631733     56.37447             50
+#> 6543   VR2W-108160     -5.631733     56.37447             50
+#> 6544   VR2W-108160     -5.631733     56.37447             50
+#> 6545   VR2W-108160     -5.631733     56.37447             50
+#> 6546   VR2W-108160     -5.631733     56.37447             50
+#> 6547   VR2W-108160     -5.631733     56.37447             50
+#> 6548   VR2W-108160     -5.631733     56.37447             50
+#> 6549   VR2W-108160     -5.631733     56.37447             50
+#> 6550   VR2W-108160     -5.631733     56.37447             50
+#> 6551   VR2W-108160     -5.631733     56.37447             50
+#> 6552   VR2W-108160     -5.631733     56.37447             50
+#> 6553   VR2W-108160     -5.631733     56.37447             50
+#> 6554   VR2W-108160     -5.631733     56.37447             50
+#> 6555   VR2W-108160     -5.631733     56.37447             50
+#> 6556   VR2W-108160     -5.631733     56.37447             50
+#> 6557   VR2W-108160     -5.631733     56.37447             50
+#> 6558   VR2W-108160     -5.631733     56.37447             50
+#> 6559   VR2W-108160     -5.631733     56.37447             50
+#> 6560   VR2W-108160     -5.631733     56.37447             50
+#> 6561   VR2W-108160     -5.631733     56.37447             50
+#> 6562   VR2W-108160     -5.631733     56.37447             50
+#> 6563   VR2W-108160     -5.631733     56.37447             50
+#> 6564   VR2W-108160     -5.631733     56.37447             50
+#> 6565   VR2W-108160     -5.631733     56.37447             50
+#> 6566  VR2AR-546131     -5.612700     56.37988             35
+#> 6567  VR2AR-546131     -5.612700     56.37988             35
+#> 6568  VR2AR-546131     -5.612700     56.37988             35
+#> 6569  VR2AR-546131     -5.612700     56.37988             35
+#> 6570  VR2AR-546131     -5.612700     56.37988             35
+#> 6571  VR2AR-546131     -5.612700     56.37988             35
+#> 6572  VR2AR-546131     -5.612700     56.37988             35
+#> 6573  VR2AR-546131     -5.612700     56.37988             35
+#> 6574  VR2AR-546131     -5.612700     56.37988             35
+#> 6575  VR2AR-546131     -5.612700     56.37988             35
+#> 6576  VR2AR-546131     -5.612700     56.37988             35
+#> 6577  VR2AR-546131     -5.612700     56.37988             35
+#> 6578  VR2AR-546131     -5.612700     56.37988             35
+#> 6579  VR2AR-546131     -5.612700     56.37988             35
+#> 6580  VR2AR-546131     -5.612700     56.37988             35
+#> 6581  VR2AR-546131     -5.612700     56.37988             35
+#> 6582  VR2AR-546131     -5.612700     56.37988             35
+#> 6583  VR2AR-546131     -5.612700     56.37988             35
+#> 6584  VR2AR-546131     -5.612700     56.37988             35
+#> 6585  VR2AR-546131     -5.612700     56.37988             35
+#> 6586  VR2AR-546131     -5.612700     56.37988             35
+#> 6587  VR2AR-546131     -5.612700     56.37988             35
+#> 6588  VR2AR-546131     -5.612700     56.37988             35
+#> 6589  VR2AR-546131     -5.612700     56.37988             35
+#> 6590  VR2AR-546131     -5.612700     56.37988             35
+#> 6591  VR2AR-546131     -5.612700     56.37988             35
+#> 6592  VR2AR-546131     -5.612700     56.37988             35
+#> 6593  VR2AR-546131     -5.612700     56.37988             35
+#> 6594  VR2AR-546131     -5.612700     56.37988             35
+#> 6595  VR2AR-546131     -5.612700     56.37988             35
+#> 6596  VR2AR-546131     -5.612700     56.37988             35
+#> 6597  VR2AR-546131     -5.612700     56.37988             35
+#> 6598  VR2AR-546131     -5.612700     56.37988             35
+#> 6599  VR2AR-546131     -5.612700     56.37988             35
+#> 6600  VR2AR-546131     -5.612700     56.37988             35
+#> 6601  VR2AR-546131     -5.612700     56.37988             35
+#> 6602  VR2AR-546131     -5.612700     56.37988             35
+#> 6603  VR2AR-546131     -5.612700     56.37988             35
+#> 6604  VR2AR-546131     -5.612700     56.37988             35
+#> 6605  VR2AR-546131     -5.612700     56.37988             35
+#> 6606  VR2AR-546131     -5.612700     56.37988             35
+#> 6607  VR2AR-546131     -5.612700     56.37988             35
+#> 6608  VR2AR-546131     -5.612700     56.37988             35
+#> 6609  VR2AR-546131     -5.612700     56.37988             35
+#> 6610  VR2AR-546131     -5.612700     56.37988             35
+#> 6611  VR2AR-546131     -5.612700     56.37988             35
+#> 6612  VR2AR-546131     -5.612700     56.37988             35
+#> 6613  VR2AR-546131     -5.612700     56.37988             35
+#> 6614  VR2AR-546131     -5.612700     56.37988             35
+#> 6615  VR2AR-546131     -5.612700     56.37988             35
+#> 6616  VR2AR-546131     -5.612700     56.37988             35
+#> 6617  VR2AR-546131     -5.612700     56.37988             35
+#> 6618  VR2AR-546131     -5.612700     56.37988             35
+#> 6619  VR2AR-546131     -5.612700     56.37988             35
+#> 6620  VR2AR-546131     -5.612700     56.37988             35
+#> 6621  VR2AR-546131     -5.612700     56.37988             35
+#> 6622  VR2AR-546131     -5.612700     56.37988             35
+#> 6623  VR2AR-546131     -5.612700     56.37988             35
+#> 6624  VR2AR-546131     -5.612700     56.37988             35
+#> 6625  VR2AR-546131     -5.612700     56.37988             35
+#> 6626  VR2AR-546131     -5.612700     56.37988             35
+#> 6627  VR2AR-546131     -5.612700     56.37988             35
+#> 6628  VR2AR-546131     -5.612700     56.37988             35
+#> 6629  VR2AR-546131     -5.612700     56.37988             35
+#> 6630  VR2AR-546131     -5.612700     56.37988             35
+#> 6631  VR2AR-546131     -5.612700     56.37988             35
+#> 6632  VR2AR-546131     -5.612700     56.37988             35
+#> 6633  VR2AR-546131     -5.612700     56.37988             35
+#> 6634  VR2AR-546131     -5.612700     56.37988             35
+#> 6635  VR2AR-546131     -5.612700     56.37988             35
+#> 6636  VR2AR-546131     -5.612700     56.37988             35
+#> 6637  VR2AR-546131     -5.612700     56.37988             35
+#> 6638  VR2AR-546131     -5.612700     56.37988             35
+#> 6639  VR2AR-546131     -5.612700     56.37988             35
+#> 6640  VR2AR-546131     -5.612700     56.37988             35
+#> 6641  VR2AR-546131     -5.612700     56.37988             35
+#> 6642  VR2AR-546131     -5.612700     56.37988             35
+#> 6643  VR2AR-546131     -5.612700     56.37988             35
+#> 6644  VR2AR-546131     -5.612700     56.37988             35
+#> 6645  VR2AR-546131     -5.612700     56.37988             35
+#> 6646  VR2AR-546131     -5.612700     56.37988             35
+#> 6647  VR2AR-546131     -5.612700     56.37988             35
+#> 6648  VR2AR-546131     -5.612700     56.37988             35
+#> 6649  VR2AR-546131     -5.612700     56.37988             35
+#> 6650  VR2AR-546131     -5.612700     56.37988             35
+#> 6651  VR2AR-546131     -5.612700     56.37988             35
+#> 6652  VR2AR-546131     -5.612700     56.37988             35
+#> 6653  VR2AR-546131     -5.612700     56.37988             35
+#> 6654  VR2AR-546131     -5.612700     56.37988             35
+#> 6655  VR2AR-546131     -5.612700     56.37988             35
+#> 6656  VR2AR-546131     -5.612700     56.37988             35
+#> 6657  VR2AR-546131     -5.612700     56.37988             35
+#> 6658  VR2AR-546131     -5.612700     56.37988             35
+#> 6659  VR2AR-546131     -5.612700     56.37988             35
+#> 6660  VR2AR-546131     -5.612700     56.37988             35
+#> 6661  VR2AR-546131     -5.612700     56.37988             35
+#> 6662  VR2AR-546131     -5.612700     56.37988             35
+#> 6663  VR2AR-546131     -5.612700     56.37988             35
+#> 6664  VR2AR-546131     -5.612700     56.37988             35
+#> 6665  VR2AR-546131     -5.612700     56.37988             35
+#> 6666  VR2AR-546131     -5.612700     56.37988             35
+#> 6667  VR2AR-546131     -5.612700     56.37988             35
+#> 6668  VR2AR-546131     -5.612700     56.37988             35
+#> 6669  VR2AR-546131     -5.612700     56.37988             35
+#> 6670  VR2AR-546131     -5.612700     56.37988             35
+#> 6671  VR2AR-546131     -5.612700     56.37988             35
+#> 6672  VR2AR-546131     -5.612700     56.37988             35
+#> 6673  VR2AR-546131     -5.612700     56.37988             35
+#> 6674  VR2AR-546131     -5.612700     56.37988             35
+#> 6675  VR2AR-546131     -5.612700     56.37988             35
+#> 6676  VR2AR-546131     -5.612700     56.37988             35
+#> 6677  VR2AR-546131     -5.612700     56.37988             35
+#> 6678  VR2AR-546131     -5.612700     56.37988             35
+#> 6679  VR2AR-546131     -5.612700     56.37988             35
+#> 6680  VR2AR-546131     -5.612700     56.37988             35
+#> 6681  VR2AR-546131     -5.612700     56.37988             35
+#> 6682  VR2AR-546131     -5.612700     56.37988             35
+#> 6683  VR2AR-546131     -5.612700     56.37988             35
+#> 6684  VR2AR-546131     -5.612700     56.37988             35
+#> 6685  VR2AR-546131     -5.612700     56.37988             35
+#> 6686  VR2AR-546131     -5.612700     56.37988             35
+#> 6687  VR2AR-546131     -5.612700     56.37988             35
+#> 6688  VR2AR-546131     -5.612700     56.37988             35
+#> 6689  VR2AR-546131     -5.612700     56.37988             35
+#> 6690  VR2AR-546131     -5.612700     56.37988             35
+#> 6691  VR2AR-546131     -5.612700     56.37988             35
+#> 6692  VR2AR-546131     -5.612700     56.37988             35
+#> 6693  VR2AR-546131     -5.612700     56.37988             35
+#> 6694  VR2AR-546131     -5.612700     56.37988             35
+#> 6695  VR2AR-546131     -5.612700     56.37988             35
+#> 6696  VR2AR-546131     -5.612700     56.37988             35
+#> 6697  VR2AR-546131     -5.612700     56.37988             35
+#> 6698  VR2AR-546131     -5.612700     56.37988             35
+#> 6699  VR2AR-546131     -5.612700     56.37988             35
+#> 6700  VR2AR-546131     -5.612700     56.37988             35
+#> 6701  VR2AR-546131     -5.612700     56.37988             35
+#> 6702  VR2AR-546131     -5.612700     56.37988             35
+#> 6703  VR2AR-546131     -5.612700     56.37988             35
+#> 6704  VR2AR-546131     -5.612700     56.37988             35
+#> 6705  VR2AR-546131     -5.612700     56.37988             35
+#> 6706  VR2AR-546131     -5.612700     56.37988             35
+#> 6707  VR2AR-546131     -5.612700     56.37988             35
+#> 6708  VR2AR-546131     -5.612700     56.37988             35
+#> 6709  VR2AR-546131     -5.612700     56.37988             35
+#> 6710  VR2AR-546131     -5.612700     56.37988             35
+#> 6711  VR2AR-546131     -5.612700     56.37988             35
+#> 6712  VR2AR-546131     -5.612700     56.37988             35
+#> 6713  VR2AR-546131     -5.612700     56.37988             35
+#> 6714  VR2AR-546131     -5.612700     56.37988             35
+#> 6715  VR2AR-546131     -5.612700     56.37988             35
+#> 6716  VR2AR-546131     -5.612700     56.37988             35
+#> 6717  VR2AR-546131     -5.612700     56.37988             35
+#> 6718  VR2AR-546131     -5.612700     56.37988             35
+#> 6719  VR2AR-546131     -5.612700     56.37988             35
+#> 6720  VR2AR-546131     -5.612700     56.37988             35
+#> 6721  VR2AR-546131     -5.612700     56.37988             35
+#> 6722  VR2AR-546131     -5.612700     56.37988             35
+#> 6723  VR2AR-546131     -5.612700     56.37988             35
+#> 6724  VR2AR-546131     -5.612700     56.37988             35
+#> 6725  VR2AR-546131     -5.612700     56.37988             35
+#> 6726  VR2AR-546131     -5.612700     56.37988             35
+#> 6727  VR2AR-546131     -5.612700     56.37988             35
+#> 6728  VR2AR-546134     -5.643867     56.38278            145
+#> 6729  VR2AR-546134     -5.643867     56.38278            145
+#> 6730  VR2AR-546134     -5.643867     56.38278            145
+#> 6731  VR2AR-546134     -5.643867     56.38278            145
+#> 6732  VR2AR-546134     -5.643867     56.38278            145
+#> 6733  VR2AR-546134     -5.643867     56.38278            145
+#> 6734  VR2AR-546134     -5.643867     56.38278            145
+#> 6735  VR2AR-546134     -5.643867     56.38278            145
+#> 6736  VR2AR-546134     -5.643867     56.38278            145
+#> 6737  VR2AR-546134     -5.643867     56.38278            145
+#> 6738  VR2AR-546134     -5.643867     56.38278            145
+#> 6739  VR2AR-546134     -5.643867     56.38278            145
+#> 6740  VR2AR-546134     -5.643867     56.38278            145
+#> 6741  VR2AR-546134     -5.643867     56.38278            145
+#> 6742  VR2AR-546134     -5.643867     56.38278            145
+#> 6743  VR2AR-546134     -5.643867     56.38278            145
+#> 6744  VR2AR-546136     -5.626250     56.44810             75
+#> 6745  VR2AR-546136     -5.626250     56.44810             75
+#> 6746  VR2AR-546131     -5.612700     56.37988             35
+#> 6747  VR2AR-546131     -5.612700     56.37988             35
+#> 6748  VR2AR-546131     -5.612700     56.37988             35
+#> 6749  VR2AR-546131     -5.612700     56.37988             35
+#> 6750  VR2AR-546131     -5.612700     56.37988             35
+#> 6751  VR2AR-546131     -5.612700     56.37988             35
+#> 6752  VR2AR-546131     -5.612700     56.37988             35
+#> 6753  VR2AR-546131     -5.612700     56.37988             35
+#> 6754  VR2AR-546131     -5.612700     56.37988             35
+#> 6755  VR2AR-546131     -5.612700     56.37988             35
+#> 6756  VR2AR-546131     -5.612700     56.37988             35
+#> 6757  VR2AR-546131     -5.612700     56.37988             35
+#> 6758  VR2AR-546131     -5.612700     56.37988             35
+#> 6759  VR2AR-546131     -5.612700     56.37988             35
+#> 6760  VR2AR-546131     -5.612700     56.37988             35
+#> 6761  VR2AR-546131     -5.612700     56.37988             35
+#> 6762  VR2AR-546131     -5.612700     56.37988             35
+#> 6763  VR2AR-546131     -5.612700     56.37988             35
+#> 6764  VR2AR-546131     -5.612700     56.37988             35
+#> 6765  VR2AR-546131     -5.612700     56.37988             35
+#> 6766  VR2AR-546131     -5.612700     56.37988             35
+#> 6767  VR2AR-546131     -5.612700     56.37988             35
+#> 6768  VR2AR-546131     -5.612700     56.37988             35
+#> 6769  VR2AR-546131     -5.612700     56.37988             35
+#> 6770  VR2AR-546131     -5.612700     56.37988             35
+#> 6771  VR2AR-546131     -5.612700     56.37988             35
+#> 6772  VR2AR-546131     -5.612700     56.37988             35
+#> 6773  VR2AR-546131     -5.612700     56.37988             35
+#> 6774  VR2AR-546131     -5.612700     56.37988             35
+#> 6775  VR2AR-546131     -5.612700     56.37988             35
+#> 6776  VR2AR-546131     -5.612700     56.37988             35
+#> 6777  VR2AR-546131     -5.612700     56.37988             35
+#> 6778  VR2AR-546131     -5.612700     56.37988             35
+#> 6779  VR2AR-546131     -5.612700     56.37988             35
+#> 6780  VR2AR-546131     -5.612700     56.37988             35
+#> 6781  VR2AR-546131     -5.612700     56.37988             35
+#> 6782  VR2AR-546131     -5.612700     56.37988             35
+#> 6783  VR2AR-546131     -5.612700     56.37988             35
+#> 6784  VR2AR-546131     -5.612700     56.37988             35
+#> 6785  VR2AR-546131     -5.612700     56.37988             35
+#> 6786  VR2AR-546131     -5.612700     56.37988             35
+#> 6787  VR2AR-546131     -5.612700     56.37988             35
+#> 6788  VR2AR-546131     -5.612700     56.37988             35
+#> 6789  VR2AR-546131     -5.612700     56.37988             35
+#> 6790  VR2AR-546131     -5.612700     56.37988             35
+#> 6791  VR2AR-546131     -5.612700     56.37988             35
+#> 6792  VR2AR-546131     -5.612700     56.37988             35
+#> 6793  VR2AR-546131     -5.612700     56.37988             35
+#> 6794  VR2AR-546131     -5.612700     56.37988             35
+#> 6795  VR2AR-546131     -5.612700     56.37988             35
+#> 6796  VR2AR-546131     -5.612700     56.37988             35
+#> 6797  VR2AR-546131     -5.612700     56.37988             35
+#> 6798  VR2AR-546131     -5.612700     56.37988             35
+#> 6799  VR2AR-546131     -5.612700     56.37988             35
+#> 6800  VR2AR-546131     -5.612700     56.37988             35
+#> 6801  VR2AR-546131     -5.612700     56.37988             35
+#> 6802  VR2AR-546131     -5.612700     56.37988             35
+#> 6803  VR2AR-546131     -5.612700     56.37988             35
+#> 6804  VR2AR-546131     -5.612700     56.37988             35
+#> 6805  VR2AR-546131     -5.612700     56.37988             35
+#> 6806  VR2AR-546131     -5.612700     56.37988             35
+#> 6807  VR2AR-546131     -5.612700     56.37988             35
+#> 6808  VR2AR-546131     -5.612700     56.37988             35
+#> 6809  VR2AR-546131     -5.612700     56.37988             35
+#> 6810  VR2AR-546131     -5.612700     56.37988             35
+#> 6811  VR2AR-546131     -5.612700     56.37988             35
+#> 6812  VR2AR-546131     -5.612700     56.37988             35
+#> 6813  VR2AR-546131     -5.612700     56.37988             35
+#> 6814  VR2AR-546131     -5.612700     56.37988             35
+#> 6815  VR2AR-546131     -5.612700     56.37988             35
+#> 6816  VR2AR-546131     -5.612700     56.37988             35
+#> 6817  VR2AR-546131     -5.612700     56.37988             35
+#> 6818  VR2AR-546131     -5.612700     56.37988             35
+#> 6819  VR2AR-546131     -5.612700     56.37988             35
+#> 6820  VR2AR-546131     -5.612700     56.37988             35
+#> 6821  VR2AR-546131     -5.612700     56.37988             35
+#> 6822  VR2AR-546131     -5.612700     56.37988             35
+#> 6823  VR2AR-546131     -5.612700     56.37988             35
+#> 6824  VR2AR-546131     -5.612700     56.37988             35
+#> 6825  VR2AR-546131     -5.612700     56.37988             35
+#> 6826  VR2AR-546131     -5.612700     56.37988             35
+#> 6827  VR2AR-546131     -5.612700     56.37988             35
+#> 6828  VR2AR-546131     -5.612700     56.37988             35
+#> 6829  VR2AR-546131     -5.612700     56.37988             35
+#> 6830  VR2AR-546131     -5.612700     56.37988             35
+#> 6831  VR2AR-546131     -5.612700     56.37988             35
+#> 6832  VR2AR-546131     -5.612700     56.37988             35
+#> 6833  VR2AR-546131     -5.612700     56.37988             35
+#> 6834  VR2AR-546131     -5.612700     56.37988             35
+#> 6835  VR2AR-546131     -5.612700     56.37988             35
+#> 6836  VR2AR-546131     -5.612700     56.37988             35
+#> 6837  VR2AR-546131     -5.612700     56.37988             35
+#> 6838  VR2AR-546131     -5.612700     56.37988             35
+#> 6839  VR2AR-546131     -5.612700     56.37988             35
+#> 6840  VR2AR-546131     -5.612700     56.37988             35
+#> 6841  VR2AR-546131     -5.612700     56.37988             35
+#> 6842  VR2AR-546131     -5.612700     56.37988             35
+#> 6843  VR2AR-546131     -5.612700     56.37988             35
+#> 6844  VR2AR-546131     -5.612700     56.37988             35
+#> 6845  VR2AR-546131     -5.612700     56.37988             35
+#> 6846  VR2AR-546131     -5.612700     56.37988             35
+#> 6847  VR2AR-546131     -5.612700     56.37988             35
+#> 6848  VR2AR-546131     -5.612700     56.37988             35
+#> 6849  VR2AR-546131     -5.612700     56.37988             35
+#> 6850  VR2AR-546131     -5.612700     56.37988             35
+#> 6851  VR2AR-546131     -5.612700     56.37988             35
+#> 6852  VR2AR-546131     -5.612700     56.37988             35
+#> 6853  VR2AR-546131     -5.612700     56.37988             35
+#> 6854  VR2AR-546131     -5.612700     56.37988             35
+#> 6855  VR2AR-546131     -5.612700     56.37988             35
+#> 6856  VR2AR-546131     -5.612700     56.37988             35
+#> 6857  VR2AR-546131     -5.612700     56.37988             35
+#> 6858  VR2AR-546131     -5.612700     56.37988             35
+#> 6859  VR2AR-546131     -5.612700     56.37988             35
+#> 6860  VR2AR-546131     -5.612700     56.37988             35
+#> 6861  VR2AR-546131     -5.612700     56.37988             35
+#> 6862  VR2AR-546131     -5.612700     56.37988             35
+#> 6863  VR2AR-546131     -5.612700     56.37988             35
+#> 6864  VR2AR-546131     -5.612700     56.37988             35
+#> 6865  VR2AR-546131     -5.612700     56.37988             35
+#> 6866  VR2AR-546131     -5.612700     56.37988             35
+#> 6867  VR2AR-546131     -5.612700     56.37988             35
+#> 6868  VR2AR-546131     -5.612700     56.37988             35
+#> 6869  VR2AR-546131     -5.612700     56.37988             35
+#> 6870  VR2AR-546131     -5.612700     56.37988             35
+#> 6871  VR2AR-546131     -5.612700     56.37988             35
+#> 6872  VR2AR-546131     -5.612700     56.37988             35
+#> 6873  VR2AR-546131     -5.612700     56.37988             35
+#> 6874  VR2AR-546131     -5.612700     56.37988             35
+#> 6875  VR2AR-546131     -5.612700     56.37988             35
+#> 6876  VR2AR-546131     -5.612700     56.37988             35
+#> 6877  VR2AR-546131     -5.612700     56.37988             35
+#> 6878  VR2AR-546131     -5.612700     56.37988             35
+#> 6879  VR2AR-546131     -5.612700     56.37988             35
+#> 6880  VR2AR-546131     -5.612700     56.37988             35
+#> 6881  VR2AR-546131     -5.612700     56.37988             35
+#> 6882  VR2AR-546131     -5.612700     56.37988             35
+#> 6883  VR2AR-546131     -5.612700     56.37988             35
+#> 6884  VR2AR-546131     -5.612700     56.37988             35
+#> 6885  VR2AR-546131     -5.612700     56.37988             35
+#> 6886  VR2AR-546131     -5.612700     56.37988             35
+#> 6887  VR2AR-546131     -5.612700     56.37988             35
+#> 6888  VR2AR-546131     -5.612700     56.37988             35
+#> 6889  VR2AR-546131     -5.612700     56.37988             35
+#> 6890  VR2AR-546131     -5.612700     56.37988             35
+#> 6891  VR2AR-546131     -5.612700     56.37988             35
+#> 6892  VR2AR-546131     -5.612700     56.37988             35
+#> 6893  VR2AR-546131     -5.612700     56.37988             35
+#> 6894  VR2AR-546131     -5.612700     56.37988             35
+#> 6895  VR2AR-546131     -5.612700     56.37988             35
+#> 6896  VR2AR-546131     -5.612700     56.37988             35
+#> 6897  VR2AR-546131     -5.612700     56.37988             35
+#> 6898  VR2AR-546131     -5.612700     56.37988             35
+#> 6899  VR2AR-546131     -5.612700     56.37988             35
+#> 6900  VR2AR-546131     -5.612700     56.37988             35
+#> 6901  VR2AR-546131     -5.612700     56.37988             35
+#> 6902  VR2AR-546131     -5.612700     56.37988             35
+#> 6903  VR2AR-546136     -5.626250     56.44810             75
+#> 6904  VR2AR-546136     -5.626250     56.44810             75
+#> 6905  VR2AR-546136     -5.626250     56.44810             75
+#> 6906  VR2AR-546136     -5.626250     56.44810             75
+#> 6907  VR2AR-546136     -5.626250     56.44810             75
+#> 6908  VR2AR-546136     -5.626250     56.44810             75
+#> 6909      VR2-6723     -5.586383     56.50332             50
+#> 6910  VR2AR-546133     -5.701717     56.49747             90
+#> 6911  VR2AR-546133     -5.701717     56.49747             90
+#> 6912  VR2AR-546133     -5.701717     56.49747             90
+#> 6913  VR2AR-546133     -5.701717     56.49747             90
+#> 6914  VR2AR-546133     -5.701717     56.49747             90
+#> 6915  VR2AR-546133     -5.701717     56.49747             90
+#> 6916  VR2AR-546133     -5.701717     56.49747             90
+#> 6917  VR2AR-546133     -5.701717     56.49747             90
+#> 6918  VR2AR-546133     -5.701717     56.49747             90
+#> 6919  VR2AR-546133     -5.701717     56.49747             90
+#> 6920  VR2AR-546133     -5.701717     56.49747             90
+#> 6921  VR2AR-546133     -5.701717     56.49747             90
+#> 6922  VR2AR-546133     -5.701717     56.49747             90
+#> 6923  VR2AR-546133     -5.701717     56.49747             90
+#> 6924  VR2AR-546133     -5.701717     56.49747             90
+#> 6925  VR2AR-546133     -5.701717     56.49747             90
+#> 6926  VR2AR-546133     -5.701717     56.49747             90
+#> 6927  VR2AR-546133     -5.701717     56.49747             90
+#> 6928  VR2AR-546133     -5.701717     56.49747             90
+#> 6929  VR2AR-546133     -5.701717     56.49747             90
+#> 6930  VR2AR-546133     -5.701717     56.49747             90
+#> 6931  VR2AR-546133     -5.701717     56.49747             90
+#> 6932   VR2W-108161     -5.605383     56.46018             25
+#> 6933   VR2W-108161     -5.605383     56.46018             25
+#> 6934   VR2W-108161     -5.605383     56.46018             25
+#> 6935   VR2W-108161     -5.605383     56.46018             25
+#> 6936   VR2W-108161     -5.605383     56.46018             25
+#> 6937   VR2W-108161     -5.605383     56.46018             25
+#> 6938   VR2W-108161     -5.605383     56.46018             25
+#> 6939  VR2AR-546136     -5.626250     56.44810             75
+#> 6940  VR2AR-546136     -5.626250     56.44810             75
+#> 6941  VR2AR-546136     -5.626250     56.44810             75
+#> 6942  VR2AR-546136     -5.626250     56.44810             75
+#> 6943  VR2AR-546136     -5.626250     56.44810             75
+#> 6944  VR2AR-546136     -5.626250     56.44810             75
+#> 6945  VR2AR-546131     -5.612700     56.37988             35
+#> 6946  VR2AR-546131     -5.612700     56.37988             35
+#> 6947  VR2AR-546131     -5.612700     56.37988             35
+#> 6948  VR2AR-546131     -5.612700     56.37988             35
+#> 6949  VR2AR-546131     -5.612700     56.37988             35
+#> 6950  VR2AR-546131     -5.612700     56.37988             35
+#> 6951  VR2AR-546131     -5.612700     56.37988             35
+#> 6952  VR2AR-546131     -5.612700     56.37988             35
+#> 6953  VR2AR-546131     -5.612700     56.37988             35
+#> 6954  VR2AR-546131     -5.612700     56.37988             35
+#> 6955  VR2AR-546131     -5.612700     56.37988             35
+#> 6956  VR2AR-546131     -5.612700     56.37988             35
+#> 6957  VR2AR-546131     -5.612700     56.37988             35
+#> 6958  VR2AR-546131     -5.612700     56.37988             35
+#> 6959  VR2AR-546131     -5.612700     56.37988             35
+#> 6960  VR2AR-546131     -5.612700     56.37988             35
+#> 6961  VR2AR-546131     -5.612700     56.37988             35
+#> 6962  VR2AR-546131     -5.612700     56.37988             35
+#> 6963  VR2AR-546131     -5.612700     56.37988             35
+#> 6964  VR2AR-546131     -5.612700     56.37988             35
+#> 6965  VR2AR-546131     -5.612700     56.37988             35
+#> 6966  VR2AR-546131     -5.612700     56.37988             35
+#> 6967  VR2AR-546131     -5.612700     56.37988             35
+#> 6968  VR2AR-546131     -5.612700     56.37988             35
+#> 6969  VR2AR-546131     -5.612700     56.37988             35
+#> 6970  VR2AR-546131     -5.612700     56.37988             35
+#> 6971  VR2AR-546131     -5.612700     56.37988             35
+#> 6972  VR2AR-546131     -5.612700     56.37988             35
+#> 6973  VR2AR-546131     -5.612700     56.37988             35
+#> 6974  VR2AR-546131     -5.612700     56.37988             35
+#> 6975  VR2AR-546131     -5.612700     56.37988             35
+#> 6976  VR2AR-546131     -5.612700     56.37988             35
+#> 6977  VR2AR-546131     -5.612700     56.37988             35
+#> 6978  VR2AR-546131     -5.612700     56.37988             35
+#> 6979  VR2AR-546131     -5.612700     56.37988             35
+#> 6980  VR2AR-546131     -5.612700     56.37988             35
+#> 6981  VR2AR-546131     -5.612700     56.37988             35
+#> 6982  VR2AR-546131     -5.612700     56.37988             35
+#> 6983  VR2AR-546131     -5.612700     56.37988             35
+#> 6984  VR2AR-546131     -5.612700     56.37988             35
+#> 6985  VR2AR-546131     -5.612700     56.37988             35
+#> 6986  VR2AR-546131     -5.612700     56.37988             35
+#> 6987  VR2AR-546131     -5.612700     56.37988             35
+#> 6988  VR2AR-546131     -5.612700     56.37988             35
+#> 6989  VR2AR-546131     -5.612700     56.37988             35
+#> 6990  VR2AR-546131     -5.612700     56.37988             35
+#> 6991  VR2AR-546131     -5.612700     56.37988             35
+#> 6992  VR2AR-546131     -5.612700     56.37988             35
+#> 6993  VR2AR-546131     -5.612700     56.37988             35
+#> 6994  VR2AR-546131     -5.612700     56.37988             35
+#> 6995  VR2AR-546131     -5.612700     56.37988             35
+#> 6996  VR2AR-546131     -5.612700     56.37988             35
+#> 6997  VR2AR-546131     -5.612700     56.37988             35
+#> 6998  VR2AR-546131     -5.612700     56.37988             35
+#> 6999  VR2AR-546131     -5.612700     56.37988             35
+#> 7000  VR2AR-546131     -5.612700     56.37988             35
+#> 7001  VR2AR-546131     -5.612700     56.37988             35
+#> 7002  VR2AR-546131     -5.612700     56.37988             35
+#> 7003  VR2AR-546131     -5.612700     56.37988             35
+#> 7004  VR2AR-546131     -5.612700     56.37988             35
+#> 7005  VR2AR-546131     -5.612700     56.37988             35
+#> 7006  VR2AR-546131     -5.612700     56.37988             35
+#> 7007  VR2AR-546131     -5.612700     56.37988             35
+#> 7008  VR2AR-546131     -5.612700     56.37988             35
+#> 7009  VR2AR-546131     -5.612700     56.37988             35
+#> 7010  VR2AR-546131     -5.612700     56.37988             35
+#> 7011  VR2AR-546131     -5.612700     56.37988             35
+#> 7012  VR2AR-546131     -5.612700     56.37988             35
+#> 7013  VR2AR-546131     -5.612700     56.37988             35
+#> 7014  VR2AR-546131     -5.612700     56.37988             35
+#> 7015  VR2AR-546131     -5.612700     56.37988             35
+#> 7016  VR2AR-546131     -5.612700     56.37988             35
+#> 7017  VR2AR-546131     -5.612700     56.37988             35
+#> 7018  VR2AR-546131     -5.612700     56.37988             35
+#> 7019  VR2AR-546131     -5.612700     56.37988             35
+#> 7020  VR2AR-546131     -5.612700     56.37988             35
+#> 7021  VR2AR-546131     -5.612700     56.37988             35
+#> 7022  VR2AR-546131     -5.612700     56.37988             35
+#> 7023  VR2AR-546131     -5.612700     56.37988             35
+#> 7024  VR2AR-546131     -5.612700     56.37988             35
+#> 7025  VR2AR-546131     -5.612700     56.37988             35
+#> 7026  VR2AR-546131     -5.612700     56.37988             35
+#> 7027  VR2AR-546131     -5.612700     56.37988             35
+#> 7028  VR2AR-546131     -5.612700     56.37988             35
+#> 7029  VR2AR-546131     -5.612700     56.37988             35
+#> 7030  VR2AR-546131     -5.612700     56.37988             35
+#> 7031  VR2AR-546131     -5.612700     56.37988             35
+#> 7032  VR2AR-546131     -5.612700     56.37988             35
+#> 7033  VR2AR-546131     -5.612700     56.37988             35
+#> 7034  VR2AR-546131     -5.612700     56.37988             35
+#> 7035  VR2AR-546131     -5.612700     56.37988             35
+#> 7036  VR2AR-546131     -5.612700     56.37988             35
+#> 7037  VR2AR-546131     -5.612700     56.37988             35
+#> 7038  VR2AR-546131     -5.612700     56.37988             35
+#> 7039  VR2AR-546131     -5.612700     56.37988             35
+#> 7040  VR2AR-546131     -5.612700     56.37988             35
+#> 7041  VR2AR-546131     -5.612700     56.37988             35
+#> 7042  VR2AR-546131     -5.612700     56.37988             35
+#> 7043  VR2AR-546131     -5.612700     56.37988             35
+#> 7044  VR2AR-546131     -5.612700     56.37988             35
+#> 7045  VR2AR-546131     -5.612700     56.37988             35
+#> 7046  VR2AR-546131     -5.612700     56.37988             35
+#> 7047  VR2AR-546131     -5.612700     56.37988             35
+#> 7048  VR2AR-546131     -5.612700     56.37988             35
+#> 7049  VR2AR-546131     -5.612700     56.37988             35
+#> 7050  VR2AR-546131     -5.612700     56.37988             35
+#> 7051  VR2AR-546131     -5.612700     56.37988             35
+#> 7052  VR2AR-546131     -5.612700     56.37988             35
+#> 7053  VR2AR-546131     -5.612700     56.37988             35
+#> 7054  VR2AR-546131     -5.612700     56.37988             35
+#> 7055  VR2AR-546131     -5.612700     56.37988             35
+#> 7056  VR2AR-546131     -5.612700     56.37988             35
+#> 7057  VR2AR-546131     -5.612700     56.37988             35
+#> 7058  VR2AR-546131     -5.612700     56.37988             35
+#> 7059  VR2AR-546131     -5.612700     56.37988             35
+#> 7060  VR2AR-546131     -5.612700     56.37988             35
+#> 7061  VR2AR-546131     -5.612700     56.37988             35
+#> 7062  VR2AR-546131     -5.612700     56.37988             35
+#> 7063  VR2AR-546131     -5.612700     56.37988             35
+#> 7064  VR2AR-546131     -5.612700     56.37988             35
+#> 7065  VR2AR-546131     -5.612700     56.37988             35
+#> 7066  VR2AR-546131     -5.612700     56.37988             35
+#> 7067  VR2AR-546131     -5.612700     56.37988             35
+#> 7068  VR2AR-546131     -5.612700     56.37988             35
+#> 7069  VR2AR-546380     -5.637917     56.44800             25
+#> 7070  VR2AR-546380     -5.637917     56.44800             25
+#> 7071  VR2AR-546380     -5.637917     56.44800             25
+#> 7072  VR2AR-546380     -5.637917     56.44800             25
+#> 7073  VR2AR-546380     -5.637917     56.44800             25
+#> 7074  VR2AR-546380     -5.637917     56.44800             25
+#> 7075  VR2AR-546380     -5.637917     56.44800             25
+#> 7076  VR2AR-546380     -5.637917     56.44800             25
+#> 7077  VR2AR-546380     -5.637917     56.44800             25
+#> 7078  VR2AR-546380     -5.637917     56.44800             25
+#> 7079  VR2AR-546380     -5.637917     56.44800             25
+#> 7080  VR2AR-546380     -5.637917     56.44800             25
+#> 7081  VR2AR-546380     -5.637917     56.44800             25
+#> 7082  VR2AR-546380     -5.637917     56.44800             25
+#> 7083  VR2AR-546380     -5.637917     56.44800             25
+#> 7084  VR2AR-546380     -5.637917     56.44800             25
+#> 7085  VR2AR-546380     -5.637917     56.44800             25
+#> 7086  VR2AR-546380     -5.637917     56.44800             25
+#> 7087  VR2AR-546380     -5.637917     56.44800             25
+#> 7088  VR2AR-546380     -5.637917     56.44800             25
+#> 7089  VR2AR-546380     -5.637917     56.44800             25
+#> 7090  VR2AR-546380     -5.637917     56.44800             25
+#> 7091  VR2AR-546380     -5.637917     56.44800             25
+#> 7092  VR2AR-546380     -5.637917     56.44800             25
+#> 7093  VR2AR-546380     -5.637917     56.44800             25
+#> 7094  VR2AR-546380     -5.637917     56.44800             25
+#> 7095  VR2AR-546380     -5.637917     56.44800             25
+#> 7096  VR2AR-546380     -5.637917     56.44800             25
+#> 7097  VR2AR-546380     -5.637917     56.44800             25
+#> 7098  VR2AR-546380     -5.637917     56.44800             25
+#> 7099  VR2AR-546380     -5.637917     56.44800             25
+#> 7100  VR2AR-546380     -5.637917     56.44800             25
+#> 7101  VR2AR-546380     -5.637917     56.44800             25
+#> 7102  VR2AR-546380     -5.637917     56.44800             25
+#> 7103  VR2AR-546380     -5.637917     56.44800             25
+#> 7104  VR2AR-546380     -5.637917     56.44800             25
+#> 7105  VR2AR-546380     -5.637917     56.44800             25
+#> 7106  VR2AR-546380     -5.637917     56.44800             25
+#> 7107  VR2AR-546380     -5.637917     56.44800             25
+#> 7108  VR2AR-546380     -5.637917     56.44800             25
+#> 7109  VR2AR-546380     -5.637917     56.44800             25
+#> 7110  VR2AR-546380     -5.637917     56.44800             25
+#> 7111  VR2AR-546380     -5.637917     56.44800             25
+#> 7112  VR2AR-546380     -5.637917     56.44800             25
+#> 7113  VR2AR-546380     -5.637917     56.44800             25
+#> 7114  VR2AR-546380     -5.637917     56.44800             25
+#> 7115  VR2AR-546380     -5.637917     56.44800             25
+#> 7116  VR2AR-546380     -5.637917     56.44800             25
+#> 7117  VR2AR-546380     -5.637917     56.44800             25
+#> 7118  VR2AR-546380     -5.637917     56.44800             25
+#> 7119  VR2AR-546380     -5.637917     56.44800             25
+#> 7120  VR2AR-546380     -5.637917     56.44800             25
+#> 7121  VR2AR-546380     -5.637917     56.44800             25
+#> 7122  VR2AR-546380     -5.637917     56.44800             25
+#> 7123  VR2AR-546380     -5.637917     56.44800             25
+#> 7124  VR2AR-546380     -5.637917     56.44800             25
+#> 7125  VR2AR-546380     -5.637917     56.44800             25
+#> 7126  VR2AR-546380     -5.637917     56.44800             25
+#> 7127  VR2AR-546380     -5.637917     56.44800             25
+#> 7128  VR2AR-546380     -5.637917     56.44800             25
+#> 7129  VR2AR-546380     -5.637917     56.44800             25
+#> 7130  VR2AR-546380     -5.637917     56.44800             25
+#> 7131  VR2AR-546380     -5.637917     56.44800             25
+#> 7132  VR2AR-546380     -5.637917     56.44800             25
+#> 7133  VR2AR-546380     -5.637917     56.44800             25
+#> 7134  VR2AR-546380     -5.637917     56.44800             25
+#> 7135  VR2AR-546380     -5.637917     56.44800             25
+#> 7136  VR2AR-546380     -5.637917     56.44800             25
+#> 7137  VR2AR-546380     -5.637917     56.44800             25
+#> 7138  VR2AR-546380     -5.637917     56.44800             25
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+#> 7140  VR2AR-546133     -5.701717     56.49747             90
+#> 7141  VR2AR-546133     -5.701717     56.49747             90
+#> 7142  VR2AR-546133     -5.701717     56.49747             90
+#> 7143  VR2AR-546133     -5.701717     56.49747             90
+#> 7144  VR2AR-546133     -5.701717     56.49747             90
+#> 7145  VR2AR-546133     -5.701717     56.49747             90
+#> 7146  VR2AR-546133     -5.701717     56.49747             90
+#> 7147  VR2AR-546133     -5.701717     56.49747             90
+#> 7148  VR2AR-546133     -5.701717     56.49747             90
+#> 7149  VR2AR-546133     -5.701717     56.49747             90
+#> 7150  VR2AR-546133     -5.701717     56.49747             90
+#> 7151  VR2AR-546133     -5.701717     56.49747             90
+#> 7152  VR2AR-546133     -5.701717     56.49747             90
+#> 7153      VR2-5637     -5.692417     56.49913             25
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+#> 7155  VR2AR-546133     -5.701717     56.49747             90
+#> 7156  VR2AR-546133     -5.701717     56.49747             90
+#> 7157  VR2AR-546133     -5.701717     56.49747             90
+#> 7158      VR2-5637     -5.692417     56.49913             25
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+#> 7160   VR2W-108161     -5.605383     56.46018             25
+#> 7161   VR2W-108161     -5.605383     56.46018             25
+#> 7162   VR2W-108161     -5.605383     56.46018             25
+#> 7163   VR2W-108161     -5.605383     56.46018             25
+#> 7164   VR2W-108161     -5.605383     56.46018             25
+#> 7165   VR2W-108161     -5.605383     56.46018             25
+#> 7166   VR2W-108161     -5.605383     56.46018             25
+#> 7167   VR2W-108161     -5.605383     56.46018             25
+#> 7168   VR2W-108161     -5.605383     56.46018             25
+#> 7169   VR2W-108161     -5.605383     56.46018             25
+#> 7170   VR2W-108161     -5.605383     56.46018             25
+#> 7171   VR2W-108161     -5.605383     56.46018             25
+#> 7172   VR2W-108161     -5.605383     56.46018             25
+#> 7173   VR2W-108161     -5.605383     56.46018             25
+#> 7174   VR2W-108161     -5.605383     56.46018             25
+#> 7175   VR2W-108161     -5.605383     56.46018             25
+#> 7176   VR2W-108161     -5.605383     56.46018             25
+#> 7177   VR2W-108161     -5.605383     56.46018             25
+#> 7178   VR2W-108161     -5.605383     56.46018             25
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+#> 7180  VR2AR-546136     -5.626250     56.44810             75
+#> 7181  VR2AR-546136     -5.626250     56.44810             75
+#> 7182  VR2AR-546136     -5.626250     56.44810             75
+#> 7183  VR2AR-546136     -5.626250     56.44810             75
+#> 7184  VR2AR-546136     -5.626250     56.44810             75
+#> 7185  VR2AR-546136     -5.626250     56.44810             75
+#> 7186  VR2AR-546136     -5.626250     56.44810             75
+#> 7187  VR2AR-546136     -5.626250     56.44810             75
+#> 7188  VR2AR-546136     -5.626250     56.44810             75
+#> 7189  VR2AR-546136     -5.626250     56.44810             75
+#> 7190  VR2AR-546136     -5.626250     56.44810             75
+#> 7191  VR2AR-546136     -5.626250     56.44810             75
+#> 7192  VR2AR-546131     -5.612700     56.37988             35
+#> 7193  VR2AR-546131     -5.612700     56.37988             35
+#> 7194  VR2AR-546131     -5.612700     56.37988             35
+#> 7195  VR2AR-546131     -5.612700     56.37988             35
+#> 7196  VR2AR-546131     -5.612700     56.37988             35
+#> 7197  VR2AR-546131     -5.612700     56.37988             35
+#> 7198  VR2AR-546131     -5.612700     56.37988             35
+#> 7199  VR2AR-546131     -5.612700     56.37988             35
+#> 7200  VR2AR-546131     -5.612700     56.37988             35
+#> 7201  VR2AR-546131     -5.612700     56.37988             35
+#> 7202  VR2AR-546131     -5.612700     56.37988             35
+#> 7203  VR2AR-546131     -5.612700     56.37988             35
+#> 7204  VR2AR-546131     -5.612700     56.37988             35
+#> 7205  VR2AR-546131     -5.612700     56.37988             35
+#> 7206  VR2AR-546131     -5.612700     56.37988             35
+#> 7207  VR2AR-546131     -5.612700     56.37988             35
+#> 7208  VR2AR-546131     -5.612700     56.37988             35
+#> 7209  VR2AR-546131     -5.612700     56.37988             35
+#> 7210  VR2AR-546131     -5.612700     56.37988             35
+#> 7211  VR2AR-546131     -5.612700     56.37988             35
+#> 7212  VR2AR-546131     -5.612700     56.37988             35
+#> 7213  VR2AR-546131     -5.612700     56.37988             35
+#> 7214  VR2AR-546131     -5.612700     56.37988             35
+#> 7215  VR2AR-546131     -5.612700     56.37988             35
+#> 7216  VR2AR-546131     -5.612700     56.37988             35
+#> 7217  VR2AR-546131     -5.612700     56.37988             35
+#> 7218  VR2AR-546131     -5.612700     56.37988             35
+#> 7219  VR2AR-546131     -5.612700     56.37988             35
+#> 7220  VR2AR-546131     -5.612700     56.37988             35
+#> 7221  VR2AR-546131     -5.612700     56.37988             35
+#> 7222  VR2AR-546131     -5.612700     56.37988             35
+#> 7223  VR2AR-546131     -5.612700     56.37988             35
+#> 7224  VR2AR-546131     -5.612700     56.37988             35
+#> 7225  VR2AR-546131     -5.612700     56.37988             35
+#> 7226  VR2AR-546131     -5.612700     56.37988             35
+#> 7227  VR2AR-546131     -5.612700     56.37988             35
+#> 7228  VR2AR-546131     -5.612700     56.37988             35
+#> 7229  VR2AR-546131     -5.612700     56.37988             35
+#> 7230  VR2AR-546131     -5.612700     56.37988             35
+#> 7231  VR2AR-546131     -5.612700     56.37988             35
+#> 7232  VR2AR-546131     -5.612700     56.37988             35
+#> 7233  VR2AR-546131     -5.612700     56.37988             35
+#> 7234  VR2AR-546131     -5.612700     56.37988             35
+#> 7235  VR2AR-546131     -5.612700     56.37988             35
+#> 7236  VR2AR-546131     -5.612700     56.37988             35
+#> 7237  VR2AR-546131     -5.612700     56.37988             35
+#> 7238  VR2AR-546131     -5.612700     56.37988             35
+#> 7239  VR2AR-546131     -5.612700     56.37988             35
+#> 7240  VR2AR-546131     -5.612700     56.37988             35
+#> 7241  VR2AR-546131     -5.612700     56.37988             35
+#> 7242  VR2AR-546131     -5.612700     56.37988             35
+#> 7243  VR2AR-546131     -5.612700     56.37988             35
+#> 7244  VR2AR-546131     -5.612700     56.37988             35
+#> 7245  VR2AR-546131     -5.612700     56.37988             35
+#> 7246  VR2AR-546131     -5.612700     56.37988             35
+#> 7247  VR2AR-546131     -5.612700     56.37988             35
+#> 7248  VR2AR-546131     -5.612700     56.37988             35
+#> 7249  VR2AR-546131     -5.612700     56.37988             35
+#> 7250  VR2AR-546131     -5.612700     56.37988             35
+#> 7251  VR2AR-546131     -5.612700     56.37988             35
+#> 7252  VR2AR-546131     -5.612700     56.37988             35
+#> 7253  VR2AR-546131     -5.612700     56.37988             35
+#> 7254  VR2AR-546131     -5.612700     56.37988             35
+#> 7255  VR2AR-546131     -5.612700     56.37988             35
+#> 7256  VR2AR-546131     -5.612700     56.37988             35
+#> 7257  VR2AR-546131     -5.612700     56.37988             35
+#> 7258  VR2AR-546131     -5.612700     56.37988             35
+#> 7259  VR2AR-546131     -5.612700     56.37988             35
+#> 7260  VR2AR-546131     -5.612700     56.37988             35
+#> 7261  VR2AR-546131     -5.612700     56.37988             35
+#> 7262  VR2AR-546131     -5.612700     56.37988             35
+#> 7263  VR2AR-546131     -5.612700     56.37988             35
+#> 7264  VR2AR-546131     -5.612700     56.37988             35
+#> 7265  VR2AR-546131     -5.612700     56.37988             35
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+#> 7267  VR2AR-546131     -5.612700     56.37988             35
+#> 7268  VR2AR-546131     -5.612700     56.37988             35
+#> 7269  VR2AR-546131     -5.612700     56.37988             35
+#> 7270  VR2AR-546131     -5.612700     56.37988             35
+#> 7271  VR2AR-546131     -5.612700     56.37988             35
+#> 7272  VR2AR-546131     -5.612700     56.37988             35
+#> 7273  VR2AR-546131     -5.612700     56.37988             35
+#> 7274  VR2AR-546131     -5.612700     56.37988             35
+#> 7275  VR2AR-546131     -5.612700     56.37988             35
+#> 7276  VR2AR-546131     -5.612700     56.37988             35
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+#> 7295  VR2AR-546133     -5.701717     56.49747             90
+#> 7296  VR2AR-546133     -5.701717     56.49747             90
+#> 7297      VR2-5637     -5.692417     56.49913             25
+#> 7298      VR2-5630     -5.591217     56.50710             50
+#> 7299      VR2-5630     -5.591217     56.50710             50
+#> 7300      VR2-5630     -5.591217     56.50710             50
+#> 7301      VR2-5630     -5.591217     56.50710             50
+#> 7302      VR2-5630     -5.591217     56.50710             50
+#> 7303      VR2-5630     -5.591217     56.50710             50
+#> 7304      VR2-5630     -5.591217     56.50710             50
+#> 7305      VR2-5630     -5.591217     56.50710             50
+#> 7306      VR2-5630     -5.591217     56.50710             50
+#> 7307      VR2-5630     -5.591217     56.50710             50
+#> 7308      VR2-5630     -5.591217     56.50710             50
+#> 7309      VR2-6723     -5.586383     56.50332             50
+#> 7310      VR2-6723     -5.586383     56.50332             50
+#> 7311      VR2-6723     -5.586383     56.50332             50
+#> 7312      VR2-6723     -5.586383     56.50332             50
+#> 7313      VR2-6723     -5.586383     56.50332             50
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+#> 7315      VR2-6723     -5.586383     56.50332             50
+#> 7316   VR2W-108163     -5.586717     56.49755             25
+#> 7317   VR2W-108163     -5.586717     56.49755             25
+#> 7318      VR2-6723     -5.586383     56.50332             50
+#> 7319   VR2W-108163     -5.586717     56.49755             25
+#> 7320   VR2W-108163     -5.586717     56.49755             25
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+#> 7322   VR2W-108161     -5.605383     56.46018             25
+#> 7323   VR2W-108161     -5.605383     56.46018             25
+#> 7324   VR2W-108161     -5.605383     56.46018             25
+#> 7325   VR2W-108161     -5.605383     56.46018             25
+#> 7326   VR2W-108161     -5.605383     56.46018             25
+#> 7327   VR2W-108161     -5.605383     56.46018             25
+#> 7328   VR2W-108161     -5.605383     56.46018             25
+#> 7329   VR2W-108161     -5.605383     56.46018             25
+#> 7330   VR2W-108161     -5.605383     56.46018             25
+#> 7331   VR2W-108161     -5.605383     56.46018             25
+#> 7332   VR2W-108161     -5.605383     56.46018             25
+#> 7333   VR2W-108161     -5.605383     56.46018             25
+#> 7334   VR2W-108161     -5.605383     56.46018             25
+#> 7335   VR2W-108161     -5.605383     56.46018             25
+#> 7336   VR2W-108161     -5.605383     56.46018             25
+#> 7337   VR2W-108161     -5.605383     56.46018             25
+#> 7338   VR2W-108161     -5.605383     56.46018             25
+#> 7339   VR2W-108161     -5.605383     56.46018             25
+#> 7340   VR2W-108161     -5.605383     56.46018             25
+#> 7341   VR2W-108161     -5.605383     56.46018             25
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+#> 7343  VR2AR-546136     -5.626250     56.44810             75
+#> 7344  VR2AR-546136     -5.626250     56.44810             75
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+#> 7374  VR2AR-546131     -5.612700     56.37988             35
+#> 7375  VR2AR-546131     -5.612700     56.37988             35
+#> 7376  VR2AR-546131     -5.612700     56.37988             35
+#> 7377  VR2AR-546131     -5.612700     56.37988             35
+#> 7378  VR2AR-546131     -5.612700     56.37988             35
+#> 7379  VR2AR-546131     -5.612700     56.37988             35
+#> 7380  VR2AR-546131     -5.612700     56.37988             35
+#> 7381  VR2AR-546131     -5.612700     56.37988             35
+#> 7382  VR2AR-546131     -5.612700     56.37988             35
+#> 7383  VR2AR-546131     -5.612700     56.37988             35
+#> 7384  VR2AR-546131     -5.612700     56.37988             35
+#> 7385  VR2AR-546131     -5.612700     56.37988             35
+#> 7386  VR2AR-546131     -5.612700     56.37988             35
+#> 7387  VR2AR-546131     -5.612700     56.37988             35
+#> 7388  VR2AR-546131     -5.612700     56.37988             35
+#> 7389  VR2AR-546131     -5.612700     56.37988             35
+#> 7390  VR2AR-546131     -5.612700     56.37988             35
+#> 7391  VR2AR-546131     -5.612700     56.37988             35
+#> 7392  VR2AR-546131     -5.612700     56.37988             35
+#> 7393  VR2AR-546131     -5.612700     56.37988             35
+#> 7394  VR2AR-546131     -5.612700     56.37988             35
+#> 7395  VR2AR-546131     -5.612700     56.37988             35
+#> 7396  VR2AR-546131     -5.612700     56.37988             35
+#> 7397  VR2AR-546131     -5.612700     56.37988             35
+#> 7398  VR2AR-546131     -5.612700     56.37988             35
+#> 7399  VR2AR-546131     -5.612700     56.37988             35
+#> 7400  VR2AR-546131     -5.612700     56.37988             35
+#> 7401  VR2AR-546131     -5.612700     56.37988             35
+#> 7402  VR2AR-546131     -5.612700     56.37988             35
+#> 7403  VR2AR-546131     -5.612700     56.37988             35
+#> 7404  VR2AR-546131     -5.612700     56.37988             35
+#> 7405  VR2AR-546131     -5.612700     56.37988             35
+#> 7406  VR2AR-546131     -5.612700     56.37988             35
+#> 7407  VR2AR-546131     -5.612700     56.37988             35
+#> 7408  VR2AR-546131     -5.612700     56.37988             35
+#> 7409  VR2AR-546131     -5.612700     56.37988             35
+#> 7410  VR2AR-546131     -5.612700     56.37988             35
+#> 7411  VR2AR-546131     -5.612700     56.37988             35
+#> 7412  VR2AR-546131     -5.612700     56.37988             35
+#> 7413  VR2AR-546131     -5.612700     56.37988             35
+#> 7414  VR2AR-546131     -5.612700     56.37988             35
+#> 7415  VR2AR-546131     -5.612700     56.37988             35
+#> 7416  VR2AR-546131     -5.612700     56.37988             35
+#> 7417  VR2AR-546131     -5.612700     56.37988             35
+#> 7418  VR2AR-546131     -5.612700     56.37988             35
+#> 7419  VR2AR-546131     -5.612700     56.37988             35
+#> 7420  VR2AR-546131     -5.612700     56.37988             35
+#> 7421  VR2AR-546131     -5.612700     56.37988             35
+#> 7422  VR2AR-546131     -5.612700     56.37988             35
+#> 7423  VR2AR-546131     -5.612700     56.37988             35
+#> 7424  VR2AR-546131     -5.612700     56.37988             35
+#> 7425  VR2AR-546131     -5.612700     56.37988             35
+#> 7426  VR2AR-546131     -5.612700     56.37988             35
+#> 7427  VR2AR-546131     -5.612700     56.37988             35
+#> 7428  VR2AR-546131     -5.612700     56.37988             35
+#> 7429  VR2AR-546131     -5.612700     56.37988             35
+#> 7430  VR2AR-546131     -5.612700     56.37988             35
+#> 7431  VR2AR-546131     -5.612700     56.37988             35
+#> 7432  VR2AR-546131     -5.612700     56.37988             35
+#> 7433  VR2AR-546131     -5.612700     56.37988             35
+#> 7434  VR2AR-546131     -5.612700     56.37988             35
+#> 7435  VR2AR-546131     -5.612700     56.37988             35
+#> 7436  VR2AR-546131     -5.612700     56.37988             35
+#> 7437  VR2AR-546131     -5.612700     56.37988             35
+#> 7438  VR2AR-546131     -5.612700     56.37988             35
+#> 7439  VR2AR-546131     -5.612700     56.37988             35
+#> 7440  VR2AR-546131     -5.612700     56.37988             35
+#> 7441  VR2AR-546131     -5.612700     56.37988             35
+#> 7442  VR2AR-546131     -5.612700     56.37988             35
+#> 7443  VR2AR-546131     -5.612700     56.37988             35
+#> 7444  VR2AR-546131     -5.612700     56.37988             35
+#> 7445  VR2AR-546131     -5.612700     56.37988             35
+#> 7446  VR2AR-546131     -5.612700     56.37988             35
+#> 7447  VR2AR-546131     -5.612700     56.37988             35
+#> 7448  VR2AR-546131     -5.612700     56.37988             35
+#> 7449  VR2AR-546131     -5.612700     56.37988             35
+#> 7450  VR2AR-546131     -5.612700     56.37988             35
+#> 7451  VR2AR-546131     -5.612700     56.37988             35
+#> 7452  VR2AR-546131     -5.612700     56.37988             35
+#> 7453  VR2AR-546131     -5.612700     56.37988             35
+#> 7454  VR2AR-546131     -5.612700     56.37988             35
+#> 7455  VR2AR-546131     -5.612700     56.37988             35
+#> 7456  VR2AR-546131     -5.612700     56.37988             35
+#> 7457  VR2AR-546131     -5.612700     56.37988             35
+#> 7458  VR2AR-546131     -5.612700     56.37988             35
+#> 7459  VR2AR-546131     -5.612700     56.37988             35
+#> 7460  VR2AR-546131     -5.612700     56.37988             35
+#> 7461  VR2AR-546131     -5.612700     56.37988             35
+#> 7462  VR2AR-546131     -5.612700     56.37988             35
+#> 7463  VR2AR-546131     -5.612700     56.37988             35
+#> 7464  VR2AR-546131     -5.612700     56.37988             35
+#> 7465  VR2AR-546131     -5.612700     56.37988             35
+#> 7466  VR2AR-546131     -5.612700     56.37988             35
+#> 7467  VR2AR-546131     -5.612700     56.37988             35
+#> 7468  VR2AR-546131     -5.612700     56.37988             35
+#> 7469  VR2AR-546131     -5.612700     56.37988             35
+#> 7470  VR2AR-546131     -5.612700     56.37988             35
+#> 7471  VR2AR-546131     -5.612700     56.37988             35
+#> 7472  VR2AR-546131     -5.612700     56.37988             35
+#> 7473  VR2AR-546131     -5.612700     56.37988             35
+#> 7474  VR2AR-546131     -5.612700     56.37988             35
+#> 7475  VR2AR-546131     -5.612700     56.37988             35
+#> 7476  VR2AR-546131     -5.612700     56.37988             35
+#> 7477  VR2AR-546131     -5.612700     56.37988             35
+#> 7478  VR2AR-546131     -5.612700     56.37988             35
+#> 7479  VR2AR-546131     -5.612700     56.37988             35
+#> 7480  VR2AR-546131     -5.612700     56.37988             35
+#> 7481  VR2AR-546131     -5.612700     56.37988             35
+#> 7482  VR2AR-546131     -5.612700     56.37988             35
+#> 7483  VR2AR-546131     -5.612700     56.37988             35
+#> 7484  VR2AR-546131     -5.612700     56.37988             35
+#> 7485  VR2AR-546131     -5.612700     56.37988             35
+#> 7486  VR2AR-546131     -5.612700     56.37988             35
+#> 7487  VR2AR-546131     -5.612700     56.37988             35
+#> 7488  VR2AR-546131     -5.612700     56.37988             35
+#> 7489  VR2AR-546131     -5.612700     56.37988             35
+#> 7490  VR2AR-546131     -5.612700     56.37988             35
+#> 7491  VR2AR-546131     -5.612700     56.37988             35
+#> 7492  VR2AR-546131     -5.612700     56.37988             35
+#> 7493  VR2AR-546131     -5.612700     56.37988             35
+#> 7494  VR2AR-546131     -5.612700     56.37988             35
+#> 7495  VR2AR-546131     -5.612700     56.37988             35
+#> 7496  VR2AR-546131     -5.612700     56.37988             35
+#> 7497  VR2AR-546131     -5.612700     56.37988             35
+#> 7498  VR2AR-546131     -5.612700     56.37988             35
+#> 7499  VR2AR-546131     -5.612700     56.37988             35
+#> 7500  VR2AR-546131     -5.612700     56.37988             35
+#> 7501  VR2AR-546131     -5.612700     56.37988             35
+#> 7502  VR2AR-546131     -5.612700     56.37988             35
+#> 7503  VR2AR-546131     -5.612700     56.37988             35
+#> 7504  VR2AR-546131     -5.612700     56.37988             35
+#> 7505  VR2AR-546131     -5.612700     56.37988             35
+#> 7506  VR2AR-546131     -5.612700     56.37988             35
+#> 7507  VR2AR-546131     -5.612700     56.37988             35
+#> 7508  VR2AR-546131     -5.612700     56.37988             35
+#> 7509  VR2AR-546131     -5.612700     56.37988             35
+#> 7510  VR2AR-546131     -5.612700     56.37988             35
+#> 7511  VR2AR-546131     -5.612700     56.37988             35
+#> 7512  VR2AR-546131     -5.612700     56.37988             35
+#> 7513  VR2AR-546131     -5.612700     56.37988             35
+#> 7514  VR2AR-546131     -5.612700     56.37988             35
+#> 7515  VR2AR-546131     -5.612700     56.37988             35
+#> 7516  VR2AR-546131     -5.612700     56.37988             35
+#> 7517  VR2AR-546131     -5.612700     56.37988             35
+#> 7518  VR2AR-546131     -5.612700     56.37988             35
+#> 7519  VR2AR-546131     -5.612700     56.37988             35
+#> 7520  VR2AR-546131     -5.612700     56.37988             35
+#> 7521  VR2AR-546131     -5.612700     56.37988             35
+#> 7522  VR2AR-546131     -5.612700     56.37988             35
+#> 7523  VR2AR-546131     -5.612700     56.37988             35
+#> 7524  VR2AR-546131     -5.612700     56.37988             35
+#> 7525  VR2AR-546131     -5.612700     56.37988             35
+#> 7526  VR2AR-546131     -5.612700     56.37988             35
+#> 7527  VR2AR-546131     -5.612700     56.37988             35
+#> 7528  VR2AR-546131     -5.612700     56.37988             35
+#> 7529  VR2AR-546131     -5.612700     56.37988             35
+#> 7530  VR2AR-546131     -5.612700     56.37988             35
+#> 7531  VR2AR-546131     -5.612700     56.37988             35
+#> 7532  VR2AR-546131     -5.612700     56.37988             35
+#> 7533  VR2AR-546131     -5.612700     56.37988             35
+#> 7534  VR2AR-546131     -5.612700     56.37988             35
+#> 7535  VR2AR-546131     -5.612700     56.37988             35
+#> 7536  VR2AR-546131     -5.612700     56.37988             35
+#> 7537  VR2AR-546131     -5.612700     56.37988             35
+#> 7538  VR2AR-546131     -5.612700     56.37988             35
+#> 7539  VR2AR-546131     -5.612700     56.37988             35
+#> 7540  VR2AR-546131     -5.612700     56.37988             35
+#> 7541  VR2AR-546131     -5.612700     56.37988             35
+#> 7542  VR2AR-546131     -5.612700     56.37988             35
+#> 7543  VR2AR-546131     -5.612700     56.37988             35
+#> 7544  VR2AR-546131     -5.612700     56.37988             35
+#> 7545  VR2AR-546131     -5.612700     56.37988             35
+#> 7546  VR2AR-546131     -5.612700     56.37988             35
+#> 7547  VR2AR-546131     -5.612700     56.37988             35
+#> 7548  VR2AR-546380     -5.637917     56.44800             25
+#> 7549  VR2AR-546380     -5.637917     56.44800             25
+#> 7550  VR2AR-546380     -5.637917     56.44800             25
+#> 7551  VR2AR-546380     -5.637917     56.44800             25
+#> 7552  VR2AR-546380     -5.637917     56.44800             25
+#> 7553  VR2AR-546380     -5.637917     56.44800             25
+#> 7554  VR2AR-546380     -5.637917     56.44800             25
+#> 7555  VR2AR-546380     -5.637917     56.44800             25
+#> 7556  VR2AR-546380     -5.637917     56.44800             25
+#> 7557  VR2AR-546380     -5.637917     56.44800             25
+#> 7558  VR2AR-546380     -5.637917     56.44800             25
+#> 7559  VR2AR-546380     -5.637917     56.44800             25
+#> 7560  VR2AR-546380     -5.637917     56.44800             25
+#> 7561  VR2AR-546380     -5.637917     56.44800             25
+#> 7562  VR2AR-546380     -5.637917     56.44800             25
+#> 7563  VR2AR-546380     -5.637917     56.44800             25
+#> 7564  VR2AR-546380     -5.637917     56.44800             25
+#> 7565  VR2AR-546380     -5.637917     56.44800             25
+#> 7566  VR2AR-546380     -5.637917     56.44800             25
+#> 7567  VR2AR-546380     -5.637917     56.44800             25
+#> 7568  VR2AR-546380     -5.637917     56.44800             25
+#> 7569  VR2AR-546380     -5.637917     56.44800             25
+#> 7570  VR2AR-546380     -5.637917     56.44800             25
+#> 7571  VR2AR-546380     -5.637917     56.44800             25
+#> 7572  VR2AR-546380     -5.637917     56.44800             25
+#> 7573  VR2AR-546380     -5.637917     56.44800             25
+#> 7574  VR2AR-546380     -5.637917     56.44800             25
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+#> 7576  VR2AR-546133     -5.701717     56.49747             90
+#> 7577  VR2AR-546133     -5.701717     56.49747             90
+#> 7578   VR2W-108157     -5.710933     56.48492             10
+#> 7579   VR2W-108157     -5.710933     56.48492             10
+#> 7580   VR2W-108157     -5.710933     56.48492             10
+#> 7581   VR2W-108157     -5.710933     56.48492             10
+#> 7582   VR2W-108157     -5.710933     56.48492             10
+#> 7583   VR2W-108157     -5.710933     56.48492             10
+#> 7584   VR2W-108157     -5.710933     56.48492             10
+#> 7585   VR2W-108157     -5.710933     56.48492             10
+#> 7586   VR2W-108157     -5.710933     56.48492             10
+#> 7587   VR2W-108157     -5.710933     56.48492             10
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+#> 7589   VR2W-108157     -5.710933     56.48492             10
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+#> 7591   VR2W-108157     -5.710933     56.48492             10
+#> 7592   VR2W-108157     -5.710933     56.48492             10
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+#> 7594   VR2W-108157     -5.710933     56.48492             10
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+#> 7596   VR2W-108157     -5.710933     56.48492             10
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+#> 7598   VR2W-108157     -5.710933     56.48492             10
+#> 7599   VR2W-108157     -5.710933     56.48492             10
+#> 7600   VR2W-108157     -5.710933     56.48492             10
+#> 7601   VR2W-108157     -5.710933     56.48492             10
+#> 7602   VR2W-108157     -5.710933     56.48492             10
+#> 7603   VR2W-108157     -5.710933     56.48492             10
+#> 7604   VR2W-108157     -5.710933     56.48492             10
+#> 7605  VR2AR-546132     -5.710100     56.49120             25
+#> 7606  VR2AR-546132     -5.710100     56.49120             25
+#> 7607  VR2AR-546132     -5.710100     56.49120             25
+#> 7608  VR2AR-546132     -5.710100     56.49120             25
+#> 7609  VR2AR-546132     -5.710100     56.49120             25
+#> 7610  VR2AR-546132     -5.710100     56.49120             25
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+#> 7613  VR2AR-546132     -5.710100     56.49120             25
+#> 7614  VR2AR-546132     -5.710100     56.49120             25
+#> 7615  VR2AR-546132     -5.710100     56.49120             25
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+#> 7617  VR2AR-546132     -5.710100     56.49120             25
+#> 7618  VR2AR-546132     -5.710100     56.49120             25
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+#> 7630  VR2AR-546133     -5.701717     56.49747             90
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+#> 7632      VR2-5637     -5.692417     56.49913             25
+#> 7633      VR2-5637     -5.692417     56.49913             25
+#> 7634      VR2-5637     -5.692417     56.49913             25
+#> 7635      VR2-5637     -5.692417     56.49913             25
+#> 7636      VR2-5637     -5.692417     56.49913             25
+#> 7637      VR2-5637     -5.692417     56.49913             25
+#> 7638      VR2-5637     -5.692417     56.49913             25
+#> 7639      VR2-5637     -5.692417     56.49913             25
+#> 7640      VR2-5637     -5.692417     56.49913             25
+#> 7641      VR2-5637     -5.692417     56.49913             25
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+#> 7649  VR2AR-546133     -5.701717     56.49747             90
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+#> 7651      VR2-5637     -5.692417     56.49913             25
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+#> 7657      VR2-5637     -5.692417     56.49913             25
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+#> 7659      VR2-5637     -5.692417     56.49913             25
+#> 7660      VR2-5637     -5.692417     56.49913             25
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+#> 7961  VR2AR-546131     -5.612700     56.37988             35
+#> 7962  VR2AR-546131     -5.612700     56.37988             35
+#> 7963  VR2AR-546131     -5.612700     56.37988             35
+#> 7964  VR2AR-546131     -5.612700     56.37988             35
+#> 7965  VR2AR-546131     -5.612700     56.37988             35
+#> 7966  VR2AR-546131     -5.612700     56.37988             35
+#> 7967  VR2AR-546131     -5.612700     56.37988             35
+#> 7968  VR2AR-546131     -5.612700     56.37988             35
+#> 7969  VR2AR-546131     -5.612700     56.37988             35
+#> 7970  VR2AR-546131     -5.612700     56.37988             35
+#> 7971  VR2AR-546131     -5.612700     56.37988             35
+#> 7972  VR2AR-546136     -5.626250     56.44810             75
+#> 7973  VR2AR-546380     -5.637917     56.44800             25
+#> 7974  VR2AR-546380     -5.637917     56.44800             25
+#> 7975  VR2AR-546380     -5.637917     56.44800             25
+#> 7976  VR2AR-546380     -5.637917     56.44800             25
+#> 7977  VR2AR-546380     -5.637917     56.44800             25
+#> 7978  VR2AR-546380     -5.637917     56.44800             25
+#> 7979  VR2AR-546136     -5.626250     56.44810             75
+#> 7980  VR2AR-546380     -5.637917     56.44800             25
+#> 7981  VR2AR-546380     -5.637917     56.44800             25
+#> 7982  VR2AR-546380     -5.637917     56.44800             25
+#> 7983  VR2AR-546380     -5.637917     56.44800             25
+#> 7984  VR2AR-546136     -5.626250     56.44810             75
+#> 7985  VR2AR-546380     -5.637917     56.44800             25
+#> 7986  VR2AR-546380     -5.637917     56.44800             25
+#> 7987  VR2AR-546380     -5.637917     56.44800             25
+#> 7988  VR2AR-546136     -5.626250     56.44810             75
+#> 7989  VR2AR-546136     -5.626250     56.44810             75
+#> 7990  VR2AR-546380     -5.637917     56.44800             25
+#> 7991  VR2AR-546136     -5.626250     56.44810             75
+#> 7992  VR2AR-546136     -5.626250     56.44810             75
+#> 7993  VR2AR-546136     -5.626250     56.44810             75
+#> 7994  VR2AR-546131     -5.612700     56.37988             35
+#> 7995  VR2AR-546131     -5.612700     56.37988             35
+#> 7996  VR2AR-546131     -5.612700     56.37988             35
+#> 7997  VR2AR-546131     -5.612700     56.37988             35
+#> 7998  VR2AR-546131     -5.612700     56.37988             35
+#> 7999  VR2AR-546131     -5.612700     56.37988             35
+#> 8000  VR2AR-546131     -5.612700     56.37988             35
+#> 8001  VR2AR-546131     -5.612700     56.37988             35
+#> 8002  VR2AR-546131     -5.612700     56.37988             35
+#> 8003  VR2AR-546131     -5.612700     56.37988             35
+#> 8004  VR2AR-546131     -5.612700     56.37988             35
+#> 8005  VR2AR-546131     -5.612700     56.37988             35
+#> 8006  VR2AR-546131     -5.612700     56.37988             35
+#> 8007  VR2AR-546131     -5.612700     56.37988             35
+#> 8008  VR2AR-546131     -5.612700     56.37988             35
+#> 8009  VR2AR-546131     -5.612700     56.37988             35
+#> 8010  VR2AR-546131     -5.612700     56.37988             35
+#> 8011  VR2AR-546131     -5.612700     56.37988             35
+#> 8012  VR2AR-546131     -5.612700     56.37988             35
+#> 8013  VR2AR-546131     -5.612700     56.37988             35
+#> 8014  VR2AR-546131     -5.612700     56.37988             35
+#> 8015  VR2AR-546131     -5.612700     56.37988             35
+#> 8016  VR2AR-546131     -5.612700     56.37988             35
+#> 8017  VR2AR-546131     -5.612700     56.37988             35
+#> 8018  VR2AR-546131     -5.612700     56.37988             35
+#> 8019  VR2AR-546131     -5.612700     56.37988             35
+#> 8020  VR2AR-546131     -5.612700     56.37988             35
+#> 8021  VR2AR-546131     -5.612700     56.37988             35
+#> 8022  VR2AR-546131     -5.612700     56.37988             35
+#> 8023  VR2AR-546131     -5.612700     56.37988             35
+#> 8024  VR2AR-546131     -5.612700     56.37988             35
+#> 8025  VR2AR-546131     -5.612700     56.37988             35
+#> 8026  VR2AR-546131     -5.612700     56.37988             35
+#> 8027  VR2AR-546131     -5.612700     56.37988             35
+#> 8028  VR2AR-546131     -5.612700     56.37988             35
+#> 8029  VR2AR-546131     -5.612700     56.37988             35
+#> 8030  VR2AR-546131     -5.612700     56.37988             35
+#> 8031  VR2AR-546131     -5.612700     56.37988             35
+#> 8032  VR2AR-546131     -5.612700     56.37988             35
+#> 8033  VR2AR-546131     -5.612700     56.37988             35
+#> 8034  VR2AR-546131     -5.612700     56.37988             35
+#> 8035  VR2AR-546131     -5.612700     56.37988             35
+#> 8036  VR2AR-546131     -5.612700     56.37988             35
+#> 8037  VR2AR-546131     -5.612700     56.37988             35
+#> 8038  VR2AR-546131     -5.612700     56.37988             35
+#> 8039  VR2AR-546131     -5.612700     56.37988             35
+#> 8040  VR2AR-546131     -5.612700     56.37988             35
+#> 8041  VR2AR-546131     -5.612700     56.37988             35
+#> 8042  VR2AR-546131     -5.612700     56.37988             35
+#> 8043  VR2AR-546131     -5.612700     56.37988             35
+#> 8044  VR2AR-546131     -5.612700     56.37988             35
+#> 8045  VR2AR-546131     -5.612700     56.37988             35
+#> 8046  VR2AR-546131     -5.612700     56.37988             35
+#> 8047  VR2AR-546131     -5.612700     56.37988             35
+#> 8048  VR2AR-546131     -5.612700     56.37988             35
+#> 8049  VR2AR-546131     -5.612700     56.37988             35
+#> 8050  VR2AR-546131     -5.612700     56.37988             35
+#> 8051  VR2AR-546131     -5.612700     56.37988             35
+#> 8052  VR2AR-546131     -5.612700     56.37988             35
+#> 8053  VR2AR-546131     -5.612700     56.37988             35
+#> 8054  VR2AR-546131     -5.612700     56.37988             35
+#> 8055  VR2AR-546131     -5.612700     56.37988             35
+#> 8056  VR2AR-546131     -5.612700     56.37988             35
+#> 8057  VR2AR-546131     -5.612700     56.37988             35
+#> 8058  VR2AR-546131     -5.612700     56.37988             35
+#> 8059  VR2AR-546131     -5.612700     56.37988             35
+#> 8060  VR2AR-546131     -5.612700     56.37988             35
+#> 8061  VR2AR-546131     -5.612700     56.37988             35
+#> 8062  VR2AR-546131     -5.612700     56.37988             35
+#> 8063  VR2AR-546131     -5.612700     56.37988             35
+#> 8064  VR2AR-546131     -5.612700     56.37988             35
+#> 8065  VR2AR-546131     -5.612700     56.37988             35
+#> 8066  VR2AR-546131     -5.612700     56.37988             35
+#> 8067  VR2AR-546131     -5.612700     56.37988             35
+#> 8068  VR2AR-546131     -5.612700     56.37988             35
+#> 8069  VR2AR-546131     -5.612700     56.37988             35
+#> 8070  VR2AR-546131     -5.612700     56.37988             35
+#> 8071  VR2AR-546131     -5.612700     56.37988             35
+#> 8072  VR2AR-546131     -5.612700     56.37988             35
+#> 8073  VR2AR-546131     -5.612700     56.37988             35
+#> 8074  VR2AR-546131     -5.612700     56.37988             35
+#> 8075  VR2AR-546131     -5.612700     56.37988             35
+#> 8076  VR2AR-546131     -5.612700     56.37988             35
+#> 8077  VR2AR-546131     -5.612700     56.37988             35
+#> 8078  VR2AR-546131     -5.612700     56.37988             35
+#> 8079  VR2AR-546131     -5.612700     56.37988             35
+#> 8080  VR2AR-546131     -5.612700     56.37988             35
+#> 8081  VR2AR-546131     -5.612700     56.37988             35
+#> 8082  VR2AR-546131     -5.612700     56.37988             35
+#> 8083  VR2AR-546131     -5.612700     56.37988             35
+#> 8084  VR2AR-546131     -5.612700     56.37988             35
+#> 8085  VR2AR-546131     -5.612700     56.37988             35
+#> 8086  VR2AR-546131     -5.612700     56.37988             35
+#> 8087  VR2AR-546131     -5.612700     56.37988             35
+#> 8088  VR2AR-546131     -5.612700     56.37988             35
+#> 8089  VR2AR-546131     -5.612700     56.37988             35
+#> 8090  VR2AR-546131     -5.612700     56.37988             35
+#> 8091  VR2AR-546131     -5.612700     56.37988             35
+#> 8092  VR2AR-546131     -5.612700     56.37988             35
+#> 8093  VR2AR-546131     -5.612700     56.37988             35
+#> 8094  VR2AR-546131     -5.612700     56.37988             35
+#> 8095  VR2AR-546131     -5.612700     56.37988             35
+#> 8096  VR2AR-546131     -5.612700     56.37988             35
+#> 8097  VR2AR-546131     -5.612700     56.37988             35
+#> 8098  VR2AR-546131     -5.612700     56.37988             35
+#> 8099  VR2AR-546131     -5.612700     56.37988             35
+#> 8100  VR2AR-546131     -5.612700     56.37988             35
+#> 8101  VR2AR-546131     -5.612700     56.37988             35
+#> 8102  VR2AR-546131     -5.612700     56.37988             35
+#> 8103  VR2AR-546131     -5.612700     56.37988             35
+#> 8104  VR2AR-546131     -5.612700     56.37988             35
+#> 8105  VR2AR-546131     -5.612700     56.37988             35
+#> 8106  VR2AR-546131     -5.612700     56.37988             35
+#> 8107  VR2AR-546131     -5.612700     56.37988             35
+#> 8108  VR2AR-546131     -5.612700     56.37988             35
+#> 8109  VR2AR-546131     -5.612700     56.37988             35
+#> 8110  VR2AR-546131     -5.612700     56.37988             35
+#> 8111  VR2AR-546131     -5.612700     56.37988             35
+#> 8112  VR2AR-546131     -5.612700     56.37988             35
+#> 8113  VR2AR-546131     -5.612700     56.37988             35
+#> 8114  VR2AR-546131     -5.612700     56.37988             35
+#> 8115  VR2AR-546131     -5.612700     56.37988             35
+#> 8116  VR2AR-546131     -5.612700     56.37988             35
+#> 8117  VR2AR-546131     -5.612700     56.37988             35
+#> 8118  VR2AR-546131     -5.612700     56.37988             35
+#> 8119  VR2AR-546131     -5.612700     56.37988             35
+#> 8120  VR2AR-546131     -5.612700     56.37988             35
+#> 8121  VR2AR-546131     -5.612700     56.37988             35
+#> 8122  VR2AR-546131     -5.612700     56.37988             35
+#> 8123  VR2AR-546131     -5.612700     56.37988             35
+#> 8124  VR2AR-546131     -5.612700     56.37988             35
+#> 8125  VR2AR-546131     -5.612700     56.37988             35
+#> 8126  VR2AR-546131     -5.612700     56.37988             35
+#> 8127  VR2AR-546131     -5.612700     56.37988             35
+#> 8128  VR2AR-546131     -5.612700     56.37988             35
+#> 8129  VR2AR-546131     -5.612700     56.37988             35
+#> 8130  VR2AR-546131     -5.612700     56.37988             35
+#> 8131  VR2AR-546131     -5.612700     56.37988             35
+#> 8132  VR2AR-546131     -5.612700     56.37988             35
+#> 8133  VR2AR-546131     -5.612700     56.37988             35
+#> 8134  VR2AR-546131     -5.612700     56.37988             35
+#> 8135  VR2AR-546131     -5.612700     56.37988             35
+#> 8136  VR2AR-546131     -5.612700     56.37988             35
+#> 8137  VR2AR-546131     -5.612700     56.37988             35
+#> 8138  VR2AR-546131     -5.612700     56.37988             35
+#> 8139  VR2AR-546131     -5.612700     56.37988             35
+#> 8140  VR2AR-546131     -5.612700     56.37988             35
+#> 8141  VR2AR-546131     -5.612700     56.37988             35
+#> 8142  VR2AR-546131     -5.612700     56.37988             35
+#> 8143  VR2AR-546131     -5.612700     56.37988             35
+#> 8144  VR2AR-546131     -5.612700     56.37988             35
+#> 8145  VR2AR-546131     -5.612700     56.37988             35
+#> 8146  VR2AR-546131     -5.612700     56.37988             35
+#> 8147  VR2AR-546131     -5.612700     56.37988             35
+#> 8148  VR2AR-546131     -5.612700     56.37988             35
+#> 8149  VR2AR-546131     -5.612700     56.37988             35
+#> 8150  VR2AR-546131     -5.612700     56.37988             35
+#> 8151  VR2AR-546131     -5.612700     56.37988             35
+#> 8152  VR2AR-546131     -5.612700     56.37988             35
+#> 8153  VR2AR-546131     -5.612700     56.37988             35
+#> 8154  VR2AR-546131     -5.612700     56.37988             35
+#> 8155  VR2AR-546131     -5.612700     56.37988             35
+#> 8156  VR2AR-546131     -5.612700     56.37988             35
+#> 8157  VR2AR-546131     -5.612700     56.37988             35
+#> 8158  VR2AR-546131     -5.612700     56.37988             35
+#> 8159  VR2AR-546131     -5.612700     56.37988             35
+#> 8160  VR2AR-546131     -5.612700     56.37988             35
+#> 8161  VR2AR-546131     -5.612700     56.37988             35
+#> 8162  VR2AR-546131     -5.612700     56.37988             35
+#> 8163  VR2AR-546131     -5.612700     56.37988             35
+#> 8164  VR2AR-546131     -5.612700     56.37988             35
+#> 8165  VR2AR-546131     -5.612700     56.37988             35
+#> 8166  VR2AR-546131     -5.612700     56.37988             35
+#> 8167  VR2AR-546131     -5.612700     56.37988             35
+#> 8168  VR2AR-546131     -5.612700     56.37988             35
+#> 8169  VR2AR-546131     -5.612700     56.37988             35
+#> 8170  VR2AR-546131     -5.612700     56.37988             35
+#> 8171  VR2AR-546131     -5.612700     56.37988             35
+#> 8172  VR2AR-546131     -5.612700     56.37988             35
+#> 8173  VR2AR-546131     -5.612700     56.37988             35
+#> 8174  VR2AR-546131     -5.612700     56.37988             35
+#> 8175  VR2AR-546131     -5.612700     56.37988             35
+#> 8176  VR2AR-546131     -5.612700     56.37988             35
+#> 8177  VR2AR-546131     -5.612700     56.37988             35
+#> 8178  VR2AR-546131     -5.612700     56.37988             35
+#> 8179  VR2AR-546131     -5.612700     56.37988             35
+#> 8180  VR2AR-546131     -5.612700     56.37988             35
+#> 8181  VR2AR-546131     -5.612700     56.37988             35
+#> 8182  VR2AR-546131     -5.612700     56.37988             35
+#> 8183  VR2AR-546131     -5.612700     56.37988             35
+#> 8184  VR2AR-546131     -5.612700     56.37988             35
+#> 8185  VR2AR-546131     -5.612700     56.37988             35
+#> 8186  VR2AR-546131     -5.612700     56.37988             35
+#> 8187  VR2AR-546131     -5.612700     56.37988             35
+#> 8188  VR2AR-546131     -5.612700     56.37988             35
+#> 8189  VR2AR-546131     -5.612700     56.37988             35
+#> 8190  VR2AR-546131     -5.612700     56.37988             35
+#> 8191  VR2AR-546131     -5.612700     56.37988             35
+#> 8192  VR2AR-546131     -5.612700     56.37988             35
+#> 8193  VR2AR-546131     -5.612700     56.37988             35
+#> 8194  VR2AR-546131     -5.612700     56.37988             35
+#> 8195  VR2AR-546131     -5.612700     56.37988             35
+#> 8196  VR2AR-546131     -5.612700     56.37988             35
+#> 8197  VR2AR-546131     -5.612700     56.37988             35
+#> 8198  VR2AR-546131     -5.612700     56.37988             35
+#> 8199  VR2AR-546134     -5.643867     56.38278            145
+#> 8200  VR2AR-546134     -5.643867     56.38278            145
+#> 8201  VR2AR-546134     -5.643867     56.38278            145
+#> 8202  VR2AR-546134     -5.643867     56.38278            145
+#> 8203  VR2AR-546134     -5.643867     56.38278            145
+#> 8204  VR2AR-546134     -5.643867     56.38278            145
+#> 8205  VR2AR-546134     -5.643867     56.38278            145
+#> 8206  VR2AR-546134     -5.643867     56.38278            145
+#> 8207  VR2AR-546135     -5.657067     56.38803             85
+#> 8208  VR2AR-546135     -5.657067     56.38803             85
+#> 8209  VR2AR-546135     -5.657067     56.38803             85
+#> 8210  VR2AR-546135     -5.657067     56.38803             85
+#> 8211  VR2AR-546135     -5.657067     56.38803             85
+#> 8212  VR2AR-546135     -5.657067     56.38803             85
+#> 8213  VR2AR-546135     -5.657067     56.38803             85
+#> 8214  VR2AR-546135     -5.657067     56.38803             85
+#> 8215  VR2AR-546135     -5.657067     56.38803             85
+#> 8216  VR2AR-546135     -5.657067     56.38803             85
+#> 8217  VR2AR-546135     -5.657067     56.38803             85
+#> 8218  VR2AR-546135     -5.657067     56.38803             85
+#> 8219  VR2AR-546135     -5.657067     56.38803             85
+#> 8220  VR2AR-546135     -5.657067     56.38803             85
+#> 8221  VR2AR-546135     -5.657067     56.38803             85
+#> 8222  VR2AR-546135     -5.657067     56.38803             85
+#> 8223  VR2AR-546135     -5.657067     56.38803             85
+#> 8224  VR2AR-546135     -5.657067     56.38803             85
+#> 8225  VR2AR-546135     -5.657067     56.38803             85
+#> 8226  VR2AR-546135     -5.657067     56.38803             85
+#> 8227  VR2AR-546135     -5.657067     56.38803             85
+#> 8228  VR2AR-546380     -5.637917     56.44800             25
+#> 8229  VR2AR-546380     -5.637917     56.44800             25
+#> 8230  VR2AR-546380     -5.637917     56.44800             25
+#> 8231  VR2AR-546380     -5.637917     56.44800             25
+#> 8232  VR2AR-546380     -5.637917     56.44800             25
+#> 8233  VR2AR-546380     -5.637917     56.44800             25
+#> 8234  VR2AR-546380     -5.637917     56.44800             25
+#> 8235      VR2-5637     -5.692417     56.49913             25
+#> 8236      VR2-5637     -5.692417     56.49913             25
+#> 8237      VR2-5637     -5.692417     56.49913             25
+#> 8238      VR2-5637     -5.692417     56.49913             25
+#> 8239      VR2-5637     -5.692417     56.49913             25
+#> 8240      VR2-5637     -5.692417     56.49913             25
+#> 8241      VR2-5637     -5.692417     56.49913             25
+#> 8242      VR2-5637     -5.692417     56.49913             25
+#> 8243      VR2-5637     -5.692417     56.49913             25
+#> 8244      VR2-5637     -5.692417     56.49913             25
+#> 8245  VR2AR-546380     -5.637917     56.44800             25
+#> 8246  VR2AR-546380     -5.637917     56.44800             25
+#> 8247  VR2AR-546380     -5.637917     56.44800             25
+#> 8248  VR2AR-546380     -5.637917     56.44800             25
+#> 8249  VR2AR-546380     -5.637917     56.44800             25
+#> 8250  VR2AR-546380     -5.637917     56.44800             25
+#> 8251  VR2AR-546380     -5.637917     56.44800             25
+#> 8252  VR2AR-546380     -5.637917     56.44800             25
+#> 8253  VR2AR-546380     -5.637917     56.44800             25
+#> 8254  VR2AR-546380     -5.637917     56.44800             25
+#> 8255  VR2AR-546380     -5.637917     56.44800             25
+#> 8256  VR2AR-546380     -5.637917     56.44800             25
+#> 8257  VR2AR-546380     -5.637917     56.44800             25
+#> 8258  VR2AR-546380     -5.637917     56.44800             25
+#> 8259  VR2AR-546134     -5.643867     56.38278            145
+#> 8260  VR2AR-546134     -5.643867     56.38278            145
+#> 8261  VR2AR-546134     -5.643867     56.38278            145
+#> 8262  VR2AR-546134     -5.643867     56.38278            145
+#> 8263  VR2AR-546134     -5.643867     56.38278            145
+#> 8264  VR2AR-546134     -5.643867     56.38278            145
+#> 8265  VR2AR-546134     -5.643867     56.38278            145
+#> 8266  VR2AR-546134     -5.643867     56.38278            145
+#> 8267  VR2AR-546134     -5.643867     56.38278            145
+#> 8268  VR2AR-546134     -5.643867     56.38278            145
+#> 8269  VR2AR-546134     -5.643867     56.38278            145
+#> 8270  VR2AR-546134     -5.643867     56.38278            145
+#> 8271  VR2AR-546134     -5.643867     56.38278            145
+#> 8272  VR2AR-546134     -5.643867     56.38278            145
+#> 8273  VR2AR-546134     -5.643867     56.38278            145
+#> 8274  VR2AR-546134     -5.643867     56.38278            145
+#> 8275  VR2AR-546134     -5.643867     56.38278            145
+#> 8276  VR2AR-546134     -5.643867     56.38278            145
+#> 8277  VR2AR-546134     -5.643867     56.38278            145
+#> 8278  VR2AR-546134     -5.643867     56.38278            145
+#> 8279  VR2AR-546134     -5.643867     56.38278            145
+#> 8280  VR2AR-546134     -5.643867     56.38278            145
+#> 8281  VR2AR-546134     -5.643867     56.38278            145
+#> 8282  VR2AR-546134     -5.643867     56.38278            145
+#> 8283  VR2AR-546134     -5.643867     56.38278            145
+#> 8284  VR2AR-546134     -5.643867     56.38278            145
+#> 8285  VR2AR-546134     -5.643867     56.38278            145
+#> 8286  VR2AR-546134     -5.643867     56.38278            145
+#> 8287  VR2AR-546134     -5.643867     56.38278            145
+#> 8288  VR2AR-546134     -5.643867     56.38278            145
+#> 8289  VR2AR-546134     -5.643867     56.38278            145
+#> 8290  VR2AR-546134     -5.643867     56.38278            145
+#> 8291  VR2AR-546134     -5.643867     56.38278            145
+#> 8292  VR2AR-546134     -5.643867     56.38278            145
+#> 8293  VR2AR-546134     -5.643867     56.38278            145
+#> 8294  VR2AR-546135     -5.657067     56.38803             85
+#> 8295  VR2AR-546135     -5.657067     56.38803             85
+#> 8296  VR2AR-546135     -5.657067     56.38803             85
+#> 8297  VR2AR-546135     -5.657067     56.38803             85
+#> 8298  VR2AR-546135     -5.657067     56.38803             85
+#> 8299  VR2AR-546135     -5.657067     56.38803             85
+#> 8300  VR2AR-546135     -5.657067     56.38803             85
+#> 8301  VR2AR-546135     -5.657067     56.38803             85
+#> 8302  VR2AR-546135     -5.657067     56.38803             85
+#> 8303  VR2AR-546135     -5.657067     56.38803             85
+#> 8304  VR2AR-546135     -5.657067     56.38803             85
+#> 8305  VR2AR-546135     -5.657067     56.38803             85
+#> 8306  VR2AR-546135     -5.657067     56.38803             85
+#> 8307  VR2AR-546135     -5.657067     56.38803             85
+#> 8308  VR2AR-546135     -5.657067     56.38803             85
+#> 8309  VR2AR-546135     -5.657067     56.38803             85
+#> 8310  VR2AR-546135     -5.657067     56.38803             85
+#> 8311  VR2AR-546135     -5.657067     56.38803             85
+#> 8312  VR2AR-546135     -5.657067     56.38803             85
+#> 8313  VR2AR-546135     -5.657067     56.38803             85
+#> 8314  VR2AR-546135     -5.657067     56.38803             85
+#> 8315  VR2AR-546135     -5.657067     56.38803             85
+#> 8316  VR2AR-546135     -5.657067     56.38803             85
+#> 8317  VR2AR-546135     -5.657067     56.38803             85
+#> 8318  VR2AR-546135     -5.657067     56.38803             85
+#> 8319  VR2AR-546135     -5.657067     56.38803             85
+#> 8320  VR2AR-546135     -5.657067     56.38803             85
+#> 8321  VR2AR-546135     -5.657067     56.38803             85
+#> 8322  VR2AR-546134     -5.643867     56.38278            145
+#> 8323  VR2AR-546134     -5.643867     56.38278            145
+#> 8324  VR2AR-546134     -5.643867     56.38278            145
+#> 8325  VR2AR-546134     -5.643867     56.38278            145
+#> 8326  VR2AR-546134     -5.643867     56.38278            145
+#> 8327  VR2AR-546134     -5.643867     56.38278            145
+#> 8328  VR2AR-546134     -5.643867     56.38278            145
+#> 8329  VR2AR-546134     -5.643867     56.38278            145
+#> 8330  VR2AR-546134     -5.643867     56.38278            145
+#> 8331  VR2AR-546134     -5.643867     56.38278            145
+#> 8332  VR2AR-546134     -5.643867     56.38278            145
+#> 8333  VR2AR-546134     -5.643867     56.38278            145
+#> 8334  VR2AR-546134     -5.643867     56.38278            145
+#> 8335  VR2AR-546134     -5.643867     56.38278            145
+#> 8336  VR2AR-546134     -5.643867     56.38278            145
+#> 8337  VR2AR-546134     -5.643867     56.38278            145
+#> 8338  VR2AR-546134     -5.643867     56.38278            145
+#> 8339  VR2AR-546134     -5.643867     56.38278            145
+#> 8340  VR2AR-546134     -5.643867     56.38278            145
+#> 8341  VR2AR-546134     -5.643867     56.38278            145
+#> 8342  VR2AR-546134     -5.643867     56.38278            145
+#> 8343  VR2AR-546134     -5.643867     56.38278            145
+#> 8344  VR2AR-546134     -5.643867     56.38278            145
+#> 8345  VR2AR-546134     -5.643867     56.38278            145
+#> 8346  VR2AR-546134     -5.643867     56.38278            145
+#> 8347  VR2AR-546134     -5.643867     56.38278            145
+#> 8348  VR2AR-546134     -5.643867     56.38278            145
+#> 8349  VR2AR-546134     -5.643867     56.38278            145
+#> 8350  VR2AR-546134     -5.643867     56.38278            145
+#> 8351   VR2W-108160     -5.631733     56.37447             50
+#> 8352  VR2AR-546131     -5.612700     56.37988             35
+#> 8353  VR2AR-546131     -5.612700     56.37988             35
+#> 8354  VR2AR-546131     -5.612700     56.37988             35
+#> 8355  VR2AR-546131     -5.612700     56.37988             35
+#> 8356  VR2AR-546131     -5.612700     56.37988             35
+#> 8357  VR2AR-546131     -5.612700     56.37988             35
+#> 8358  VR2AR-546131     -5.612700     56.37988             35
+#> 8359  VR2AR-546131     -5.612700     56.37988             35
+#> 8360  VR2AR-546131     -5.612700     56.37988             35
+#> 8361  VR2AR-546131     -5.612700     56.37988             35
+#> 8362  VR2AR-546131     -5.612700     56.37988             35
+#> 8363  VR2AR-546131     -5.612700     56.37988             35
+#> 8364  VR2AR-546131     -5.612700     56.37988             35
+#> 8365  VR2AR-546131     -5.612700     56.37988             35
+#> 8366  VR2AR-546131     -5.612700     56.37988             35
+#> 8367  VR2AR-546131     -5.612700     56.37988             35
+#> 8368  VR2AR-546131     -5.612700     56.37988             35
+#> 8369  VR2AR-546131     -5.612700     56.37988             35
+#> 8370  VR2AR-546131     -5.612700     56.37988             35
+#> 8371  VR2AR-546131     -5.612700     56.37988             35
+#> 8372  VR2AR-546131     -5.612700     56.37988             35
+#> 8373  VR2AR-546131     -5.612700     56.37988             35
+#> 8374  VR2AR-546131     -5.612700     56.37988             35
+#> 8375  VR2AR-546131     -5.612700     56.37988             35
+#> 8376  VR2AR-546131     -5.612700     56.37988             35
+#> 8377  VR2AR-546131     -5.612700     56.37988             35
+#> 8378  VR2AR-546131     -5.612700     56.37988             35
+#> 8379  VR2AR-546131     -5.612700     56.37988             35
+#> 8380  VR2AR-546131     -5.612700     56.37988             35
+#> 8381  VR2AR-546131     -5.612700     56.37988             35
+#> 8382  VR2AR-546131     -5.612700     56.37988             35
+#> 8383  VR2AR-546131     -5.612700     56.37988             35
+#> 8384  VR2AR-546131     -5.612700     56.37988             35
+#> 8385  VR2AR-546131     -5.612700     56.37988             35
+#> 8386  VR2AR-546131     -5.612700     56.37988             35
+#> 8387  VR2AR-546131     -5.612700     56.37988             35
+#> 8388  VR2AR-546131     -5.612700     56.37988             35
+#> 8389  VR2AR-546131     -5.612700     56.37988             35
+#> 8390  VR2AR-546131     -5.612700     56.37988             35
+#> 8391  VR2AR-546131     -5.612700     56.37988             35
+#> 8392  VR2AR-546131     -5.612700     56.37988             35
+#> 8393  VR2AR-546131     -5.612700     56.37988             35
+#> 8394  VR2AR-546131     -5.612700     56.37988             35
+#> 8395  VR2AR-546131     -5.612700     56.37988             35
+#> 8396  VR2AR-546131     -5.612700     56.37988             35
+#> 8397  VR2AR-546131     -5.612700     56.37988             35
+#> 8398  VR2AR-546131     -5.612700     56.37988             35
+#> 8399  VR2AR-546131     -5.612700     56.37988             35
+#> 8400  VR2AR-546131     -5.612700     56.37988             35
+#> 8401  VR2AR-546131     -5.612700     56.37988             35
+#> 8402  VR2AR-546131     -5.612700     56.37988             35
+#> 8403  VR2AR-546131     -5.612700     56.37988             35
+#> 8404  VR2AR-546131     -5.612700     56.37988             35
+#> 8405  VR2AR-546131     -5.612700     56.37988             35
+#> 8406  VR2AR-546131     -5.612700     56.37988             35
+#> 8407  VR2AR-546131     -5.612700     56.37988             35
+#> 8408  VR2AR-546131     -5.612700     56.37988             35
+#> 8409  VR2AR-546131     -5.612700     56.37988             35
+#> 8410  VR2AR-546131     -5.612700     56.37988             35
+#> 8411  VR2AR-546131     -5.612700     56.37988             35
+#> 8412  VR2AR-546131     -5.612700     56.37988             35
+#> 8413  VR2AR-546131     -5.612700     56.37988             35
+#> 8414  VR2AR-546131     -5.612700     56.37988             35
+#> 8415  VR2AR-546131     -5.612700     56.37988             35
+#> 8416  VR2AR-546131     -5.612700     56.37988             35
+#> 8417  VR2AR-546131     -5.612700     56.37988             35
+#> 8418  VR2AR-546131     -5.612700     56.37988             35
+#> 8419  VR2AR-546131     -5.612700     56.37988             35
+#> 8420  VR2AR-546131     -5.612700     56.37988             35
+#> 8421  VR2AR-546131     -5.612700     56.37988             35
+#> 8422  VR2AR-546131     -5.612700     56.37988             35
+#> 8423  VR2AR-546131     -5.612700     56.37988             35
+#> 8424  VR2AR-546131     -5.612700     56.37988             35
+#> 8425  VR2AR-546131     -5.612700     56.37988             35
+#> 8426  VR2AR-546131     -5.612700     56.37988             35
+#> 8427  VR2AR-546131     -5.612700     56.37988             35
+#> 8428  VR2AR-546131     -5.612700     56.37988             35
+#> 8429  VR2AR-546131     -5.612700     56.37988             35
+#> 8430  VR2AR-546131     -5.612700     56.37988             35
+#> 8431  VR2AR-546131     -5.612700     56.37988             35
+#> 8432  VR2AR-546131     -5.612700     56.37988             35
+#> 8433  VR2AR-546131     -5.612700     56.37988             35
+#> 8434  VR2AR-546131     -5.612700     56.37988             35
+#> 8435  VR2AR-546131     -5.612700     56.37988             35
+#> 8436  VR2AR-546131     -5.612700     56.37988             35
+#> 8437  VR2AR-546131     -5.612700     56.37988             35
+#> 8438  VR2AR-546131     -5.612700     56.37988             35
+#> 8439  VR2AR-546131     -5.612700     56.37988             35
+#> 8440  VR2AR-546131     -5.612700     56.37988             35
+#> 8441  VR2AR-546131     -5.612700     56.37988             35
+#> 8442  VR2AR-546131     -5.612700     56.37988             35
+#> 8443  VR2AR-546131     -5.612700     56.37988             35
+#> 8444  VR2AR-546131     -5.612700     56.37988             35
+#> 8445  VR2AR-546131     -5.612700     56.37988             35
+#> 8446  VR2AR-546131     -5.612700     56.37988             35
+#> 8447  VR2AR-546131     -5.612700     56.37988             35
+#> 8448  VR2AR-546131     -5.612700     56.37988             35
+#> 8449  VR2AR-546131     -5.612700     56.37988             35
+#> 8450  VR2AR-546131     -5.612700     56.37988             35
+#> 8451  VR2AR-546131     -5.612700     56.37988             35
+#> 8452  VR2AR-546131     -5.612700     56.37988             35
+#> 8453  VR2AR-546131     -5.612700     56.37988             35
+#> 8454  VR2AR-546131     -5.612700     56.37988             35
+#> 8455  VR2AR-546131     -5.612700     56.37988             35
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+#> 8457  VR2AR-546131     -5.612700     56.37988             35
+#> 8458  VR2AR-546131     -5.612700     56.37988             35
+#> 8459  VR2AR-546131     -5.612700     56.37988             35
+#> 8460  VR2AR-546131     -5.612700     56.37988             35
+#> 8461  VR2AR-546131     -5.612700     56.37988             35
+#> 8462  VR2AR-546131     -5.612700     56.37988             35
+#> 8463  VR2AR-546131     -5.612700     56.37988             35
+#> 8464  VR2AR-546131     -5.612700     56.37988             35
+#> 8465  VR2AR-546131     -5.612700     56.37988             35
+#> 8466  VR2AR-546131     -5.612700     56.37988             35
+#> 8467  VR2AR-546131     -5.612700     56.37988             35
+#> 8468  VR2AR-546131     -5.612700     56.37988             35
+#> 8469  VR2AR-546131     -5.612700     56.37988             35
+#> 8470  VR2AR-546131     -5.612700     56.37988             35
+#> 8471  VR2AR-546131     -5.612700     56.37988             35
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+#> 8473  VR2AR-546131     -5.612700     56.37988             35
+#> 8474  VR2AR-546131     -5.612700     56.37988             35
+#> 8475  VR2AR-546131     -5.612700     56.37988             35
+#> 8476  VR2AR-546131     -5.612700     56.37988             35
+#> 8477  VR2AR-546131     -5.612700     56.37988             35
+#> 8478  VR2AR-546131     -5.612700     56.37988             35
+#> 8479  VR2AR-546131     -5.612700     56.37988             35
+#> 8480  VR2AR-546131     -5.612700     56.37988             35
+#> 8481  VR2AR-546131     -5.612700     56.37988             35
+#> 8482  VR2AR-546131     -5.612700     56.37988             35
+#> 8483  VR2AR-546131     -5.612700     56.37988             35
+#> 8484  VR2AR-546131     -5.612700     56.37988             35
+#> 8485  VR2AR-546131     -5.612700     56.37988             35
+#> 8486  VR2AR-546131     -5.612700     56.37988             35
+#> 8487  VR2AR-546131     -5.612700     56.37988             35
+#> 8488  VR2AR-546131     -5.612700     56.37988             35
+#> 8489  VR2AR-546131     -5.612700     56.37988             35
+#> 8490  VR2AR-546131     -5.612700     56.37988             35
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+#> 8492  VR2AR-546131     -5.612700     56.37988             35
+#> 8493  VR2AR-546131     -5.612700     56.37988             35
+#> 8494  VR2AR-546131     -5.612700     56.37988             35
+#> 8495  VR2AR-546131     -5.612700     56.37988             35
+#> 8496  VR2AR-546131     -5.612700     56.37988             35
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+#> 8500  VR2AR-546131     -5.612700     56.37988             35
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+#> 8505  VR2AR-546131     -5.612700     56.37988             35
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+#> 8508  VR2AR-546131     -5.612700     56.37988             35
+#> 8509  VR2AR-546131     -5.612700     56.37988             35
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+#> 8535  VR2AR-546131     -5.612700     56.37988             35
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+#> 8538  VR2AR-546131     -5.612700     56.37988             35
+#> 8539  VR2AR-546131     -5.612700     56.37988             35
+#> 8540  VR2AR-546131     -5.612700     56.37988             35
+#> 8541  VR2AR-546131     -5.612700     56.37988             35
+#> 8542  VR2AR-546131     -5.612700     56.37988             35
+#> 8543  VR2AR-546131     -5.612700     56.37988             35
+#> 8544  VR2AR-546131     -5.612700     56.37988             35
+#> 8545  VR2AR-546131     -5.612700     56.37988             35
+#> 8546  VR2AR-546131     -5.612700     56.37988             35
+#> 8547  VR2AR-546131     -5.612700     56.37988             35
+#> 8548  VR2AR-546131     -5.612700     56.37988             35
+#> 8549  VR2AR-546131     -5.612700     56.37988             35
+#> 8550  VR2AR-546131     -5.612700     56.37988             35
+#> 8551  VR2AR-546131     -5.612700     56.37988             35
+#> 8552  VR2AR-546131     -5.612700     56.37988             35
+#> 8553  VR2AR-546131     -5.612700     56.37988             35
+#> 8554  VR2AR-546131     -5.612700     56.37988             35
+#> 8555  VR2AR-546131     -5.612700     56.37988             35
+#> 8556  VR2AR-546131     -5.612700     56.37988             35
+#> 8557  VR2AR-546131     -5.612700     56.37988             35
+#> 8558  VR2AR-546131     -5.612700     56.37988             35
+#> 8559  VR2AR-546131     -5.612700     56.37988             35
+#> 8560  VR2AR-546131     -5.612700     56.37988             35
+#> 8561  VR2AR-546131     -5.612700     56.37988             35
+#> 8562  VR2AR-546131     -5.612700     56.37988             35
+#> 8563  VR2AR-546131     -5.612700     56.37988             35
+#> 8564  VR2AR-546131     -5.612700     56.37988             35
+#> 8565  VR2AR-546131     -5.612700     56.37988             35
+#> 8566  VR2AR-546131     -5.612700     56.37988             35
+#> 8567  VR2AR-546131     -5.612700     56.37988             35
+#> 8568  VR2AR-546131     -5.612700     56.37988             35
+#> 8569  VR2AR-546131     -5.612700     56.37988             35
+#> 8570  VR2AR-546131     -5.612700     56.37988             35
+#> 8571  VR2AR-546131     -5.612700     56.37988             35
+#> 8572  VR2AR-546131     -5.612700     56.37988             35
+#> 8573  VR2AR-546131     -5.612700     56.37988             35
+#> 8574  VR2AR-546131     -5.612700     56.37988             35
+#> 8575  VR2AR-546131     -5.612700     56.37988             35
+#> 8576  VR2AR-546131     -5.612700     56.37988             35
+#> 8577  VR2AR-546131     -5.612700     56.37988             35
+#> 8578  VR2AR-546131     -5.612700     56.37988             35
+#> 8579  VR2AR-546131     -5.612700     56.37988             35
+#> 8580  VR2AR-546131     -5.612700     56.37988             35
+#> 8581  VR2AR-546131     -5.612700     56.37988             35
+#> 8582  VR2AR-546131     -5.612700     56.37988             35
+#> 8583  VR2AR-546131     -5.612700     56.37988             35
+#> 8584  VR2AR-546131     -5.612700     56.37988             35
+#> 8585  VR2AR-546131     -5.612700     56.37988             35
+#> 8586  VR2AR-546131     -5.612700     56.37988             35
+#> 8587  VR2AR-546131     -5.612700     56.37988             35
+#> 8588  VR2AR-546131     -5.612700     56.37988             35
+#> 8589  VR2AR-546131     -5.612700     56.37988             35
+#> 8590  VR2AR-546131     -5.612700     56.37988             35
+#> 8591  VR2AR-546131     -5.612700     56.37988             35
+#> 8592  VR2AR-546131     -5.612700     56.37988             35
+#> 8593  VR2AR-546136     -5.626250     56.44810             75
+#> 8594  VR2AR-546136     -5.626250     56.44810             75
+#> 8595  VR2AR-546136     -5.626250     56.44810             75
+#> 8596  VR2AR-546136     -5.626250     56.44810             75
+#> 8597  VR2AR-546136     -5.626250     56.44810             75
+#> 8598  VR2AR-546136     -5.626250     56.44810             75
+#> 8599      VR2-5637     -5.692417     56.49913             25
+#> 8600      VR2-5637     -5.692417     56.49913             25
+#> 8601      VR2-5637     -5.692417     56.49913             25
+#> 8602      VR2-5637     -5.692417     56.49913             25
+#> 8603      VR2-5637     -5.692417     56.49913             25
+#> 8604      VR2-5637     -5.692417     56.49913             25
+#> 8605      VR2-5637     -5.692417     56.49913             25
+#> 8606      VR2-5637     -5.692417     56.49913             25
+#> 8607      VR2-5637     -5.692417     56.49913             25
+#> 8608      VR2-5637     -5.692417     56.49913             25
+#> 8609      VR2-5637     -5.692417     56.49913             25
+#> 8610      VR2-5637     -5.692417     56.49913             25
+#> 8611      VR2-5637     -5.692417     56.49913             25
+#> 8612      VR2-5637     -5.692417     56.49913             25
+#> 8613      VR2-5637     -5.692417     56.49913             25
+#> 8614      VR2-5637     -5.692417     56.49913             25
+#> 8615      VR2-5637     -5.692417     56.49913             25
+#> 8616  VR2AR-546133     -5.701717     56.49747             90
+#> 8617  VR2AR-546133     -5.701717     56.49747             90
+#> 8618  VR2AR-546133     -5.701717     56.49747             90
+#> 8619  VR2AR-546133     -5.701717     56.49747             90
+#> 8620  VR2AR-546133     -5.701717     56.49747             90
+#> 8621  VR2AR-546133     -5.701717     56.49747             90
+#> 8622  VR2AR-546133     -5.701717     56.49747             90
+#> 8623      VR2-5637     -5.692417     56.49913             25
+#> 8624      VR2-5637     -5.692417     56.49913             25
+#> 8625      VR2-5637     -5.692417     56.49913             25
+#> 8626      VR2-5637     -5.692417     56.49913             25
+#> 8627      VR2-5637     -5.692417     56.49913             25
+#> 8628      VR2-5637     -5.692417     56.49913             25
+#> 8629      VR2-5637     -5.692417     56.49913             25
+#> 8630      VR2-5637     -5.692417     56.49913             25
+#> 8631      VR2-5637     -5.692417     56.49913             25
+#> 8632      VR2-5637     -5.692417     56.49913             25
+#> 8633      VR2-5637     -5.692417     56.49913             25
+#> 8634      VR2-5637     -5.692417     56.49913             25
+#> 8635      VR2-5637     -5.692417     56.49913             25
+#> 8636      VR2-5637     -5.692417     56.49913             25
+#> 8637      VR2-5637     -5.692417     56.49913             25
+#> 8638      VR2-5637     -5.692417     56.49913             25
+#> 8639      VR2-5637     -5.692417     56.49913             25
+#> 8640      VR2-5637     -5.692417     56.49913             25
+#> 8641      VR2-5637     -5.692417     56.49913             25
+#> 8642      VR2-5637     -5.692417     56.49913             25
+#> 8643      VR2-5637     -5.692417     56.49913             25
+#> 8644      VR2-5637     -5.692417     56.49913             25
+#> 8645      VR2-5637     -5.692417     56.49913             25
+#> 8646      VR2-5637     -5.692417     56.49913             25
+#> 8647      VR2-5637     -5.692417     56.49913             25
+#> 8648      VR2-5637     -5.692417     56.49913             25
+#> 8649      VR2-5637     -5.692417     56.49913             25
+#> 8650      VR2-5637     -5.692417     56.49913             25
+#> 8651      VR2-5637     -5.692417     56.49913             25
+#> 8652      VR2-5637     -5.692417     56.49913             25
+#> 8653      VR2-5637     -5.692417     56.49913             25
+#> 8654      VR2-5637     -5.692417     56.49913             25
+#> 8655      VR2-5637     -5.692417     56.49913             25
+#> 8656      VR2-5637     -5.692417     56.49913             25
+#> 8657  VR2AR-546133     -5.701717     56.49747             90
+#> 8658  VR2AR-546133     -5.701717     56.49747             90
+#> 8659  VR2AR-546133     -5.701717     56.49747             90
+#> 8660  VR2AR-546133     -5.701717     56.49747             90
+#> 8661  VR2AR-546133     -5.701717     56.49747             90
+#> 8662  VR2AR-546133     -5.701717     56.49747             90
+#> 8663  VR2AR-546133     -5.701717     56.49747             90
+#> 8664  VR2AR-546133     -5.701717     56.49747             90
+#> 8665  VR2AR-546133     -5.701717     56.49747             90
+#> 8666  VR2AR-546133     -5.701717     56.49747             90
+#> 8667  VR2AR-546133     -5.701717     56.49747             90
+#> 8668  VR2AR-546133     -5.701717     56.49747             90
+#> 8669  VR2AR-546133     -5.701717     56.49747             90
+#> 8670  VR2AR-546133     -5.701717     56.49747             90
+#> 8671  VR2AR-546133     -5.701717     56.49747             90
+#> 8672  VR2AR-546133     -5.701717     56.49747             90
+#> 8673  VR2AR-546133     -5.701717     56.49747             90
+#> 8674  VR2AR-546133     -5.701717     56.49747             90
+#> 8675  VR2AR-546133     -5.701717     56.49747             90
+#> 8676  VR2AR-546133     -5.701717     56.49747             90
+#> 8677  VR2AR-546133     -5.701717     56.49747             90
+#> 8678  VR2AR-546133     -5.701717     56.49747             90
+#> 8679  VR2AR-546133     -5.701717     56.49747             90
+#> 8680  VR2AR-546133     -5.701717     56.49747             90
+#> 8681  VR2AR-546133     -5.701717     56.49747             90
+#> 8682  VR2AR-546133     -5.701717     56.49747             90
+#> 8683  VR2AR-546133     -5.701717     56.49747             90
+#> 8684  VR2AR-546133     -5.701717     56.49747             90
+#> 8685  VR2AR-546133     -5.701717     56.49747             90
+#> 8686  VR2AR-546133     -5.701717     56.49747             90
+#> 8687  VR2AR-546133     -5.701717     56.49747             90
+#> 8688  VR2AR-546133     -5.701717     56.49747             90
+#> 8689  VR2AR-546133     -5.701717     56.49747             90
+#> 8690  VR2AR-546133     -5.701717     56.49747             90
+#> 8691  VR2AR-546133     -5.701717     56.49747             90
+#> 8692  VR2AR-546133     -5.701717     56.49747             90
+#> 8693  VR2AR-546136     -5.626250     56.44810             75
+#> 8694  VR2AR-546136     -5.626250     56.44810             75
+#> 8695  VR2AR-546380     -5.637917     56.44800             25
+#> 8696  VR2AR-546136     -5.626250     56.44810             75
+#> 8697  VR2AR-546380     -5.637917     56.44800             25
+#> 8698  VR2AR-546380     -5.637917     56.44800             25
+#> 8699  VR2AR-546136     -5.626250     56.44810             75
+#> 8700  VR2AR-546380     -5.637917     56.44800             25
+#> 8701  VR2AR-546380     -5.637917     56.44800             25
+#> 8702  VR2AR-546380     -5.637917     56.44800             25
+#> 8703  VR2AR-546380     -5.637917     56.44800             25
+#> 8704  VR2AR-546380     -5.637917     56.44800             25
+#> 8705  VR2AR-546380     -5.637917     56.44800             25
+#> 8706  VR2AR-546380     -5.637917     56.44800             25
+#> 8707  VR2AR-546380     -5.637917     56.44800             25
+#> 8708  VR2AR-546380     -5.637917     56.44800             25
+#> 8709  VR2AR-546380     -5.637917     56.44800             25
+#> 8710  VR2AR-546380     -5.637917     56.44800             25
+#> 8711  VR2AR-546380     -5.637917     56.44800             25
+#> 8712  VR2AR-546380     -5.637917     56.44800             25
+#> 8713  VR2AR-546380     -5.637917     56.44800             25
+#> 8714  VR2AR-546380     -5.637917     56.44800             25
+#> 8715  VR2AR-546380     -5.637917     56.44800             25
+#> 8716  VR2AR-546380     -5.637917     56.44800             25
+#> 8717  VR2AR-546380     -5.637917     56.44800             25
+#> 8718  VR2AR-546380     -5.637917     56.44800             25
+#> 8719  VR2AR-546380     -5.637917     56.44800             25
+#> 8720  VR2AR-546380     -5.637917     56.44800             25
+#> 8721  VR2AR-546380     -5.637917     56.44800             25
+#> 8722  VR2AR-546380     -5.637917     56.44800             25
+#> 8723  VR2AR-546380     -5.637917     56.44800             25
+#> 8724  VR2AR-546380     -5.637917     56.44800             25
+#> 8725  VR2AR-546380     -5.637917     56.44800             25
+#> 8726  VR2AR-546380     -5.637917     56.44800             25
+#> 8727  VR2AR-546380     -5.637917     56.44800             25
+#> 8728  VR2AR-546380     -5.637917     56.44800             25
+#> 8729  VR2AR-546380     -5.637917     56.44800             25
+#> 8730  VR2AR-546380     -5.637917     56.44800             25
+#> 8731  VR2AR-546131     -5.612700     56.37988             35
+#> 8732  VR2AR-546131     -5.612700     56.37988             35
+#> 8733  VR2AR-546131     -5.612700     56.37988             35
+#> 8734  VR2AR-546131     -5.612700     56.37988             35
+#> 8735  VR2AR-546131     -5.612700     56.37988             35
+#> 8736  VR2AR-546131     -5.612700     56.37988             35
+#> 8737  VR2AR-546131     -5.612700     56.37988             35
+#> 8738  VR2AR-546131     -5.612700     56.37988             35
+#> 8739  VR2AR-546131     -5.612700     56.37988             35
+#> 8740  VR2AR-546131     -5.612700     56.37988             35
+#> 8741  VR2AR-546131     -5.612700     56.37988             35
+#> 8742  VR2AR-546131     -5.612700     56.37988             35
+#> 8743  VR2AR-546131     -5.612700     56.37988             35
+#> 8744  VR2AR-546131     -5.612700     56.37988             35
+#> 8745  VR2AR-546131     -5.612700     56.37988             35
+#> 8746  VR2AR-546131     -5.612700     56.37988             35
+#> 8747  VR2AR-546131     -5.612700     56.37988             35
+#> 8748  VR2AR-546131     -5.612700     56.37988             35
+#> 8749  VR2AR-546131     -5.612700     56.37988             35
+#> 8750  VR2AR-546131     -5.612700     56.37988             35
+#> 8751  VR2AR-546131     -5.612700     56.37988             35
+#> 8752  VR2AR-546131     -5.612700     56.37988             35
+#> 8753  VR2AR-546131     -5.612700     56.37988             35
+#> 8754  VR2AR-546131     -5.612700     56.37988             35
+#> 8755  VR2AR-546131     -5.612700     56.37988             35
+#> 8756  VR2AR-546131     -5.612700     56.37988             35
+#> 8757  VR2AR-546131     -5.612700     56.37988             35
+#> 8758  VR2AR-546131     -5.612700     56.37988             35
+#> 8759  VR2AR-546131     -5.612700     56.37988             35
+#> 8760  VR2AR-546131     -5.612700     56.37988             35
+#> 8761  VR2AR-546131     -5.612700     56.37988             35
+#> 8762  VR2AR-546131     -5.612700     56.37988             35
+#> 8763  VR2AR-546131     -5.612700     56.37988             35
+#> 8764  VR2AR-546131     -5.612700     56.37988             35
+#> 8765  VR2AR-546131     -5.612700     56.37988             35
+#> 8766  VR2AR-546131     -5.612700     56.37988             35
+#> 8767  VR2AR-546131     -5.612700     56.37988             35
+#> 8768  VR2AR-546131     -5.612700     56.37988             35
+#> 8769  VR2AR-546131     -5.612700     56.37988             35
+#> 8770  VR2AR-546131     -5.612700     56.37988             35
+#> 8771  VR2AR-546131     -5.612700     56.37988             35
+#> 8772  VR2AR-546131     -5.612700     56.37988             35
+#> 8773  VR2AR-546131     -5.612700     56.37988             35
+#> 8774  VR2AR-546131     -5.612700     56.37988             35
+#> 8775  VR2AR-546131     -5.612700     56.37988             35
+#> 8776  VR2AR-546131     -5.612700     56.37988             35
+#> 8777  VR2AR-546131     -5.612700     56.37988             35
+#> 8778  VR2AR-546131     -5.612700     56.37988             35
+#> 8779  VR2AR-546131     -5.612700     56.37988             35
+#> 8780  VR2AR-546131     -5.612700     56.37988             35
+#> 8781  VR2AR-546131     -5.612700     56.37988             35
+#> 8782  VR2AR-546131     -5.612700     56.37988             35
+#> 8783  VR2AR-546131     -5.612700     56.37988             35
+#> 8784  VR2AR-546131     -5.612700     56.37988             35
+#> 8785  VR2AR-546131     -5.612700     56.37988             35
+#> 8786  VR2AR-546131     -5.612700     56.37988             35
+#> 8787  VR2AR-546131     -5.612700     56.37988             35
+#> 8788  VR2AR-546131     -5.612700     56.37988             35
+#> 8789  VR2AR-546131     -5.612700     56.37988             35
+#> 8790  VR2AR-546131     -5.612700     56.37988             35
+#> 8791  VR2AR-546131     -5.612700     56.37988             35
+#> 8792  VR2AR-546131     -5.612700     56.37988             35
+#> 8793  VR2AR-546131     -5.612700     56.37988             35
+#> 8794  VR2AR-546131     -5.612700     56.37988             35
+#> 8795  VR2AR-546131     -5.612700     56.37988             35
+#> 8796  VR2AR-546131     -5.612700     56.37988             35
+#> 8797  VR2AR-546131     -5.612700     56.37988             35
+#> 8798  VR2AR-546131     -5.612700     56.37988             35
+#> 8799  VR2AR-546131     -5.612700     56.37988             35
+#> 8800  VR2AR-546131     -5.612700     56.37988             35
+#> 8801  VR2AR-546131     -5.612700     56.37988             35
+#> 8802  VR2AR-546131     -5.612700     56.37988             35
+#> 8803  VR2AR-546131     -5.612700     56.37988             35
+#> 8804  VR2AR-546131     -5.612700     56.37988             35
+#> 8805  VR2AR-546131     -5.612700     56.37988             35
+#> 8806  VR2AR-546131     -5.612700     56.37988             35
+#> 8807  VR2AR-546131     -5.612700     56.37988             35
+#> 8808  VR2AR-546131     -5.612700     56.37988             35
+#> 8809  VR2AR-546131     -5.612700     56.37988             35
+#> 8810  VR2AR-546131     -5.612700     56.37988             35
+#> 8811  VR2AR-546131     -5.612700     56.37988             35
+#> 8812  VR2AR-546131     -5.612700     56.37988             35
+#> 8813  VR2AR-546131     -5.612700     56.37988             35
+#> 8814  VR2AR-546131     -5.612700     56.37988             35
+#> 8815  VR2AR-546131     -5.612700     56.37988             35
+#> 8816  VR2AR-546131     -5.612700     56.37988             35
+#> 8817  VR2AR-546131     -5.612700     56.37988             35
+#> 8818  VR2AR-546131     -5.612700     56.37988             35
+#> 8819  VR2AR-546131     -5.612700     56.37988             35
+#> 8820  VR2AR-546131     -5.612700     56.37988             35
+#> 8821  VR2AR-546131     -5.612700     56.37988             35
+#> 8822  VR2AR-546131     -5.612700     56.37988             35
+#> 8823  VR2AR-546131     -5.612700     56.37988             35
+#> 8824  VR2AR-546131     -5.612700     56.37988             35
+#> 8825  VR2AR-546131     -5.612700     56.37988             35
+#> 8826  VR2AR-546131     -5.612700     56.37988             35
+#> 8827  VR2AR-546131     -5.612700     56.37988             35
+#> 8828  VR2AR-546131     -5.612700     56.37988             35
+#> 8829  VR2AR-546131     -5.612700     56.37988             35
+#> 8830  VR2AR-546131     -5.612700     56.37988             35
+#> 8831  VR2AR-546131     -5.612700     56.37988             35
+#> 8832  VR2AR-546131     -5.612700     56.37988             35
+#> 8833  VR2AR-546131     -5.612700     56.37988             35
+#> 8834  VR2AR-546131     -5.612700     56.37988             35
+#> 8835  VR2AR-546131     -5.612700     56.37988             35
+#> 8836  VR2AR-546131     -5.612700     56.37988             35
+#> 8837  VR2AR-546131     -5.612700     56.37988             35
+#> 8838  VR2AR-546131     -5.612700     56.37988             35
+#> 8839  VR2AR-546131     -5.612700     56.37988             35
+#> 8840  VR2AR-546131     -5.612700     56.37988             35
+#> 8841  VR2AR-546131     -5.612700     56.37988             35
+#> 8842  VR2AR-546131     -5.612700     56.37988             35
+#> 8843  VR2AR-546131     -5.612700     56.37988             35
+#> 8844  VR2AR-546131     -5.612700     56.37988             35
+#> 8845  VR2AR-546131     -5.612700     56.37988             35
+#> 8846  VR2AR-546131     -5.612700     56.37988             35
+#> 8847  VR2AR-546131     -5.612700     56.37988             35
+#> 8848  VR2AR-546131     -5.612700     56.37988             35
+#> 8849  VR2AR-546131     -5.612700     56.37988             35
+#> 8850  VR2AR-546131     -5.612700     56.37988             35
+#> 8851  VR2AR-546131     -5.612700     56.37988             35
+#> 8852  VR2AR-546131     -5.612700     56.37988             35
+#> 8853  VR2AR-546131     -5.612700     56.37988             35
+#> 8854  VR2AR-546131     -5.612700     56.37988             35
+#> 8855  VR2AR-546131     -5.612700     56.37988             35
+#> 8856  VR2AR-546131     -5.612700     56.37988             35
+#> 8857  VR2AR-546131     -5.612700     56.37988             35
+#> 8858  VR2AR-546131     -5.612700     56.37988             35
+#> 8859  VR2AR-546131     -5.612700     56.37988             35
+#> 8860  VR2AR-546131     -5.612700     56.37988             35
+#> 8861  VR2AR-546131     -5.612700     56.37988             35
+#> 8862  VR2AR-546131     -5.612700     56.37988             35
+#> 8863  VR2AR-546131     -5.612700     56.37988             35
+#> 8864  VR2AR-546131     -5.612700     56.37988             35
+#> 8865  VR2AR-546131     -5.612700     56.37988             35
+#> 8866  VR2AR-546131     -5.612700     56.37988             35
+#> 8867  VR2AR-546131     -5.612700     56.37988             35
+#> 8868  VR2AR-546131     -5.612700     56.37988             35
+#> 8869  VR2AR-546131     -5.612700     56.37988             35
+#> 8870  VR2AR-546131     -5.612700     56.37988             35
+#> 8871  VR2AR-546131     -5.612700     56.37988             35
+#> 8872  VR2AR-546131     -5.612700     56.37988             35
+#> 8873  VR2AR-546131     -5.612700     56.37988             35
+#> 8874  VR2AR-546131     -5.612700     56.37988             35
+#> 8875  VR2AR-546131     -5.612700     56.37988             35
+#> 8876  VR2AR-546131     -5.612700     56.37988             35
+#> 8877  VR2AR-546131     -5.612700     56.37988             35
+#> 8878  VR2AR-546131     -5.612700     56.37988             35
+#> 8879  VR2AR-546131     -5.612700     56.37988             35
+#> 8880  VR2AR-546131     -5.612700     56.37988             35
+#> 8881  VR2AR-546131     -5.612700     56.37988             35
+#> 8882  VR2AR-546131     -5.612700     56.37988             35
+#> 8883  VR2AR-546131     -5.612700     56.37988             35
+#> 8884  VR2AR-546131     -5.612700     56.37988             35
+#> 8885  VR2AR-546131     -5.612700     56.37988             35
+#> 8886  VR2AR-546131     -5.612700     56.37988             35
+#> 8887  VR2AR-546131     -5.612700     56.37988             35
+#> 8888  VR2AR-546131     -5.612700     56.37988             35
+#> 8889  VR2AR-546131     -5.612700     56.37988             35
+#> 8890  VR2AR-546131     -5.612700     56.37988             35
+#> 8891  VR2AR-546131     -5.612700     56.37988             35
+#> 8892  VR2AR-546131     -5.612700     56.37988             35
+#> 8893  VR2AR-546131     -5.612700     56.37988             35
+#> 8894  VR2AR-546131     -5.612700     56.37988             35
+#> 8895  VR2AR-546131     -5.612700     56.37988             35
+#> 8896  VR2AR-546131     -5.612700     56.37988             35
+#> 8897  VR2AR-546131     -5.612700     56.37988             35
+#> 8898  VR2AR-546131     -5.612700     56.37988             35
+#> 8899  VR2AR-546131     -5.612700     56.37988             35
+#> 8900  VR2AR-546131     -5.612700     56.37988             35
+#> 8901  VR2AR-546131     -5.612700     56.37988             35
+#> 8902  VR2AR-546131     -5.612700     56.37988             35
+#> 8903  VR2AR-546131     -5.612700     56.37988             35
+#> 8904  VR2AR-546131     -5.612700     56.37988             35
+#> 8905  VR2AR-546131     -5.612700     56.37988             35
+#> 8906  VR2AR-546131     -5.612700     56.37988             35
+#> 8907  VR2AR-546131     -5.612700     56.37988             35
+#> 8908  VR2AR-546131     -5.612700     56.37988             35
+#> 8909  VR2AR-546131     -5.612700     56.37988             35
+#> 8910  VR2AR-546131     -5.612700     56.37988             35
+#> 8911  VR2AR-546131     -5.612700     56.37988             35
+#> 8912  VR2AR-546131     -5.612700     56.37988             35
+#> 8913  VR2AR-546131     -5.612700     56.37988             35
+#> 8914  VR2AR-546131     -5.612700     56.37988             35
+#> 8915  VR2AR-546131     -5.612700     56.37988             35
+#> 8916  VR2AR-546131     -5.612700     56.37988             35
+#> 8917  VR2AR-546131     -5.612700     56.37988             35
+#> 8918  VR2AR-546131     -5.612700     56.37988             35
+#> 8919  VR2AR-546131     -5.612700     56.37988             35
+#> 8920  VR2AR-546131     -5.612700     56.37988             35
+#> 8921  VR2AR-546131     -5.612700     56.37988             35
+#> 8922  VR2AR-546131     -5.612700     56.37988             35
+#> 8923  VR2AR-546131     -5.612700     56.37988             35
+#> 8924  VR2AR-546131     -5.612700     56.37988             35
+#> 8925  VR2AR-546131     -5.612700     56.37988             35
+#> 8926  VR2AR-546131     -5.612700     56.37988             35
+#> 8927  VR2AR-546131     -5.612700     56.37988             35
+#> 8928  VR2AR-546131     -5.612700     56.37988             35
+#> 8929  VR2AR-546131     -5.612700     56.37988             35
+#> 8930  VR2AR-546131     -5.612700     56.37988             35
+#> 8931  VR2AR-546131     -5.612700     56.37988             35
+#> 8932  VR2AR-546131     -5.612700     56.37988             35
+#> 8933  VR2AR-546131     -5.612700     56.37988             35
+#> 8934  VR2AR-546131     -5.612700     56.37988             35
+#> 8935  VR2AR-546131     -5.612700     56.37988             35
+#> 8936  VR2AR-546131     -5.612700     56.37988             35
+#> 8937  VR2AR-546131     -5.612700     56.37988             35
+#> 8938  VR2AR-546131     -5.612700     56.37988             35
+#> 8939  VR2AR-546131     -5.612700     56.37988             35
+#> 8940  VR2AR-546131     -5.612700     56.37988             35
+#> 8941  VR2AR-546131     -5.612700     56.37988             35
+#> 8942  VR2AR-546131     -5.612700     56.37988             35
+#> 8943  VR2AR-546131     -5.612700     56.37988             35
+#> 8944  VR2AR-546131     -5.612700     56.37988             35
+#> 8945  VR2AR-546131     -5.612700     56.37988             35
+#> 8946  VR2AR-546131     -5.612700     56.37988             35
+#> 8947  VR2AR-546131     -5.612700     56.37988             35
+#> 8948  VR2AR-546131     -5.612700     56.37988             35
+#> 8949  VR2AR-546131     -5.612700     56.37988             35
+#> 8950  VR2AR-546131     -5.612700     56.37988             35
+#> 8951  VR2AR-546131     -5.612700     56.37988             35
+#> 8952  VR2AR-546131     -5.612700     56.37988             35
+#> 8953  VR2AR-546131     -5.612700     56.37988             35
+#> 8954  VR2AR-546131     -5.612700     56.37988             35
+#> 8955  VR2AR-546131     -5.612700     56.37988             35
+#> 8956  VR2AR-546131     -5.612700     56.37988             35
+#> 8957  VR2AR-546135     -5.657067     56.38803             85
+#> 8958  VR2AR-546135     -5.657067     56.38803             85
+#> 8959  VR2AR-546135     -5.657067     56.38803             85
+#> 8960  VR2AR-546135     -5.657067     56.38803             85
+#> 8961  VR2AR-546135     -5.657067     56.38803             85
+#> 8962  VR2AR-546135     -5.657067     56.38803             85
+#> 8963  VR2AR-546135     -5.657067     56.38803             85
+#> 8964  VR2AR-546135     -5.657067     56.38803             85
+#> 8965  VR2AR-546135     -5.657067     56.38803             85
+#> 8966  VR2AR-546135     -5.657067     56.38803             85
+#> 8967  VR2AR-546135     -5.657067     56.38803             85
+#> 8968  VR2AR-546135     -5.657067     56.38803             85
+#> 8969  VR2AR-546135     -5.657067     56.38803             85
+#> 8970  VR2AR-546135     -5.657067     56.38803             85
+#> 8971  VR2AR-546135     -5.657067     56.38803             85
+#> 8972  VR2AR-546135     -5.657067     56.38803             85
+#> 8973  VR2AR-546135     -5.657067     56.38803             85
+#> 8974  VR2AR-546135     -5.657067     56.38803             85
+#> 8975  VR2AR-546135     -5.657067     56.38803             85
+#> 8976  VR2AR-546135     -5.657067     56.38803             85
+#> 8977  VR2AR-546135     -5.657067     56.38803             85
+#> 8978  VR2AR-546135     -5.657067     56.38803             85
+#> 8979  VR2AR-546135     -5.657067     56.38803             85
+#> 8980  VR2AR-546135     -5.657067     56.38803             85
+#> 8981  VR2AR-546135     -5.657067     56.38803             85
+#> 8982  VR2AR-546135     -5.657067     56.38803             85
+#> 8983  VR2AR-546135     -5.657067     56.38803             85
+#> 8984  VR2AR-546134     -5.643867     56.38278            145
+#> 8985  VR2AR-546134     -5.643867     56.38278            145
+#> 8986  VR2AR-546134     -5.643867     56.38278            145
+#> 8987  VR2AR-546134     -5.643867     56.38278            145
+#> 8988  VR2AR-546134     -5.643867     56.38278            145
+#> 8989  VR2AR-546134     -5.643867     56.38278            145
+#> 8990  VR2AR-546134     -5.643867     56.38278            145
+#> 8991  VR2AR-546134     -5.643867     56.38278            145
+#> 8992  VR2AR-546134     -5.643867     56.38278            145
+#> 8993  VR2AR-546134     -5.643867     56.38278            145
+#> 8994  VR2AR-546134     -5.643867     56.38278            145
+#> 8995  VR2AR-546135     -5.657067     56.38803             85
+#> 8996  VR2AR-546135     -5.657067     56.38803             85
+#> 8997  VR2AR-546135     -5.657067     56.38803             85
+#> 8998  VR2AR-546135     -5.657067     56.38803             85
+#> 8999  VR2AR-546135     -5.657067     56.38803             85
+#> 9000  VR2AR-546135     -5.657067     56.38803             85
+#> 9001  VR2AR-546135     -5.657067     56.38803             85
+#> 9002  VR2AR-546135     -5.657067     56.38803             85
+#> 9003  VR2AR-546135     -5.657067     56.38803             85
+#> 9004  VR2AR-546135     -5.657067     56.38803             85
+#> 9005  VR2AR-546135     -5.657067     56.38803             85
+#> 9006  VR2AR-546135     -5.657067     56.38803             85
+#> 9007  VR2AR-546135     -5.657067     56.38803             85
+#> 9008  VR2AR-546135     -5.657067     56.38803             85
+#> 9009  VR2AR-546135     -5.657067     56.38803             85
+#> 9010  VR2AR-546135     -5.657067     56.38803             85
+#> 9011  VR2AR-546135     -5.657067     56.38803             85
+#> 9012  VR2AR-546135     -5.657067     56.38803             85
+#> 9013  VR2AR-546135     -5.657067     56.38803             85
+#> 9014  VR2AR-546135     -5.657067     56.38803             85
+#> 9015  VR2AR-546135     -5.657067     56.38803             85
+#> 9016  VR2AR-546135     -5.657067     56.38803             85
+#> 9017  VR2AR-546135     -5.657067     56.38803             85
+#> 9018  VR2AR-546135     -5.657067     56.38803             85
+#> 9019  VR2AR-546135     -5.657067     56.38803             85
+#> 9020  VR2AR-546135     -5.657067     56.38803             85
+#> 9021  VR2AR-546135     -5.657067     56.38803             85
+#> 9022  VR2AR-546135     -5.657067     56.38803             85
+#> 9023  VR2AR-546135     -5.657067     56.38803             85
+#> 9024  VR2AR-546135     -5.657067     56.38803             85
+#> 9025  VR2AR-546135     -5.657067     56.38803             85
+#> 9026  VR2AR-546135     -5.657067     56.38803             85
+#> 9027  VR2AR-546135     -5.657067     56.38803             85
+#> 9028  VR2AR-546135     -5.657067     56.38803             85
+#> 9029  VR2AR-546135     -5.657067     56.38803             85
+#> 9030  VR2AR-546135     -5.657067     56.38803             85
+#> 9031  VR2AR-546135     -5.657067     56.38803             85
+#> 9032  VR2AR-546135     -5.657067     56.38803             85
+#> 9033  VR2AR-546135     -5.657067     56.38803             85
+#> 9034  VR2AR-546135     -5.657067     56.38803             85
+#> 9035  VR2AR-546135     -5.657067     56.38803             85
+#> 9036  VR2AR-546135     -5.657067     56.38803             85
+#> 9037  VR2AR-546135     -5.657067     56.38803             85
+#> 9038  VR2AR-546135     -5.657067     56.38803             85
+#> 9039  VR2AR-546131     -5.612700     56.37988             35
+#> 9040  VR2AR-546131     -5.612700     56.37988             35
+#> 9041  VR2AR-546131     -5.612700     56.37988             35
+#> 9042  VR2AR-546131     -5.612700     56.37988             35
+#> 9043  VR2AR-546131     -5.612700     56.37988             35
+#> 9044  VR2AR-546131     -5.612700     56.37988             35
+#> 9045  VR2AR-546131     -5.612700     56.37988             35
+#> 9046  VR2AR-546131     -5.612700     56.37988             35
+#> 9047  VR2AR-546131     -5.612700     56.37988             35
+#> 9048  VR2AR-546131     -5.612700     56.37988             35
+#> 9049  VR2AR-546131     -5.612700     56.37988             35
+#> 9050  VR2AR-546131     -5.612700     56.37988             35
+#> 9051  VR2AR-546131     -5.612700     56.37988             35
+#> 9052  VR2AR-546131     -5.612700     56.37988             35
+#> 9053  VR2AR-546131     -5.612700     56.37988             35
+#> 9054  VR2AR-546131     -5.612700     56.37988             35
+#> 9055  VR2AR-546131     -5.612700     56.37988             35
+#> 9056  VR2AR-546131     -5.612700     56.37988             35
+#> 9057  VR2AR-546131     -5.612700     56.37988             35
+#> 9058  VR2AR-546131     -5.612700     56.37988             35
+#> 9059  VR2AR-546131     -5.612700     56.37988             35
+#> 9060  VR2AR-546131     -5.612700     56.37988             35
+#> 9061  VR2AR-546131     -5.612700     56.37988             35
+#> 9062  VR2AR-546131     -5.612700     56.37988             35
+#> 9063  VR2AR-546131     -5.612700     56.37988             35
+#> 9064  VR2AR-546131     -5.612700     56.37988             35
+#> 9065  VR2AR-546131     -5.612700     56.37988             35
+#> 9066  VR2AR-546131     -5.612700     56.37988             35
+#> 9067  VR2AR-546131     -5.612700     56.37988             35
+#> 9068  VR2AR-546131     -5.612700     56.37988             35
+#> 9069  VR2AR-546131     -5.612700     56.37988             35
+#> 9070  VR2AR-546131     -5.612700     56.37988             35
+#> 9071  VR2AR-546131     -5.612700     56.37988             35
+#> 9072  VR2AR-546131     -5.612700     56.37988             35
+#> 9073  VR2AR-546131     -5.612700     56.37988             35
+#> 9074  VR2AR-546131     -5.612700     56.37988             35
+#> 9075  VR2AR-546131     -5.612700     56.37988             35
+#> 9076  VR2AR-546131     -5.612700     56.37988             35
+#> 9077  VR2AR-546131     -5.612700     56.37988             35
+#> 9078  VR2AR-546131     -5.612700     56.37988             35
+#> 9079  VR2AR-546131     -5.612700     56.37988             35
+#> 9080  VR2AR-546131     -5.612700     56.37988             35
+#> 9081  VR2AR-546131     -5.612700     56.37988             35
+#> 9082  VR2AR-546131     -5.612700     56.37988             35
+#> 9083  VR2AR-546131     -5.612700     56.37988             35
+#> 9084  VR2AR-546131     -5.612700     56.37988             35
+#> 9085  VR2AR-546131     -5.612700     56.37988             35
+#> 9086  VR2AR-546131     -5.612700     56.37988             35
+#> 9087  VR2AR-546131     -5.612700     56.37988             35
+#> 9088  VR2AR-546131     -5.612700     56.37988             35
+#> 9089  VR2AR-546131     -5.612700     56.37988             35
+#> 9090  VR2AR-546131     -5.612700     56.37988             35
+#> 9091  VR2AR-546131     -5.612700     56.37988             35
+#> 9092  VR2AR-546131     -5.612700     56.37988             35
+#> 9093  VR2AR-546131     -5.612700     56.37988             35
+#> 9094  VR2AR-546131     -5.612700     56.37988             35
+#> 9095  VR2AR-546131     -5.612700     56.37988             35
+#> 9096  VR2AR-546131     -5.612700     56.37988             35
+#> 9097  VR2AR-546131     -5.612700     56.37988             35
+#> 9098  VR2AR-546131     -5.612700     56.37988             35
+#> 9099  VR2AR-546131     -5.612700     56.37988             35
+#> 9100  VR2AR-546131     -5.612700     56.37988             35
+#> 9101  VR2AR-546131     -5.612700     56.37988             35
+#> 9102  VR2AR-546131     -5.612700     56.37988             35
+#> 9103  VR2AR-546131     -5.612700     56.37988             35
+#> 9104  VR2AR-546131     -5.612700     56.37988             35
+#> 9105  VR2AR-546131     -5.612700     56.37988             35
+#> 9106  VR2AR-546131     -5.612700     56.37988             35
+#> 9107  VR2AR-546131     -5.612700     56.37988             35
+#> 9108  VR2AR-546131     -5.612700     56.37988             35
+#> 9109  VR2AR-546131     -5.612700     56.37988             35
+#> 9110  VR2AR-546131     -5.612700     56.37988             35
+#> 9111  VR2AR-546131     -5.612700     56.37988             35
+#> 9112  VR2AR-546131     -5.612700     56.37988             35
+#> 9113  VR2AR-546131     -5.612700     56.37988             35
+#> 9114  VR2AR-546131     -5.612700     56.37988             35
+#> 9115  VR2AR-546131     -5.612700     56.37988             35
+#> 9116  VR2AR-546131     -5.612700     56.37988             35
+#> 9117  VR2AR-546131     -5.612700     56.37988             35
+#> 9118  VR2AR-546131     -5.612700     56.37988             35
+#> 9119  VR2AR-546131     -5.612700     56.37988             35
+#> 9120  VR2AR-546131     -5.612700     56.37988             35
+#> 9121  VR2AR-546131     -5.612700     56.37988             35
+#> 9122  VR2AR-546131     -5.612700     56.37988             35
+#> 9123  VR2AR-546131     -5.612700     56.37988             35
+#> 9124  VR2AR-546131     -5.612700     56.37988             35
+#> 9125  VR2AR-546131     -5.612700     56.37988             35
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+#> 9417  VR2AR-546131     -5.612700     56.37988             35
+#> 9418  VR2AR-546131     -5.612700     56.37988             35
+#> 9419  VR2AR-546131     -5.612700     56.37988             35
+#> 9420  VR2AR-546131     -5.612700     56.37988             35
+#> 9421  VR2AR-546131     -5.612700     56.37988             35
+#> 9422  VR2AR-546131     -5.612700     56.37988             35
+#> 9423  VR2AR-546131     -5.612700     56.37988             35
+#> 9424  VR2AR-546131     -5.612700     56.37988             35
+#> 9425  VR2AR-546131     -5.612700     56.37988             35
+#> 9426  VR2AR-546131     -5.612700     56.37988             35
+#> 9427  VR2AR-546131     -5.612700     56.37988             35
+#> 9428  VR2AR-546131     -5.612700     56.37988             35
+#> 9429  VR2AR-546131     -5.612700     56.37988             35
+#> 9430  VR2AR-546131     -5.612700     56.37988             35
+#> 9431  VR2AR-546131     -5.612700     56.37988             35
+#> 9432  VR2AR-546131     -5.612700     56.37988             35
+#> 9433  VR2AR-546131     -5.612700     56.37988             35
+#> 9434  VR2AR-546131     -5.612700     56.37988             35
+#> 9435  VR2AR-546131     -5.612700     56.37988             35
+#> 9436  VR2AR-546131     -5.612700     56.37988             35
+#> 9437  VR2AR-546131     -5.612700     56.37988             35
+#> 9438  VR2AR-546131     -5.612700     56.37988             35
+#> 9439  VR2AR-546131     -5.612700     56.37988             35
+#> 9440  VR2AR-546131     -5.612700     56.37988             35
+#> 9441  VR2AR-546131     -5.612700     56.37988             35
+#> 9442  VR2AR-546131     -5.612700     56.37988             35
+#> 9443  VR2AR-546131     -5.612700     56.37988             35
+#> 9444  VR2AR-546131     -5.612700     56.37988             35
+#> 9445  VR2AR-546131     -5.612700     56.37988             35
+#> 9446  VR2AR-546131     -5.612700     56.37988             35
+#> 9447  VR2AR-546131     -5.612700     56.37988             35
+#> 9448  VR2AR-546131     -5.612700     56.37988             35
+#> 9449  VR2AR-546131     -5.612700     56.37988             35
+#> 9450  VR2AR-546131     -5.612700     56.37988             35
+#> 9451  VR2AR-546131     -5.612700     56.37988             35
+#> 9452  VR2AR-546131     -5.612700     56.37988             35
+#> 9453  VR2AR-546131     -5.612700     56.37988             35
+#> 9454  VR2AR-546131     -5.612700     56.37988             35
+#> 9455  VR2AR-546131     -5.612700     56.37988             35
+#> 9456  VR2AR-546131     -5.612700     56.37988             35
+#> 9457  VR2AR-546131     -5.612700     56.37988             35
+#> 9458  VR2AR-546131     -5.612700     56.37988             35
+#> 9459  VR2AR-546131     -5.612700     56.37988             35
+#> 9460  VR2AR-546131     -5.612700     56.37988             35
+#> 9461  VR2AR-546131     -5.612700     56.37988             35
+#> 9462  VR2AR-546131     -5.612700     56.37988             35
+#> 9463  VR2AR-546131     -5.612700     56.37988             35
+#> 9464  VR2AR-546131     -5.612700     56.37988             35
+#> 9465  VR2AR-546131     -5.612700     56.37988             35
+#> 9466  VR2AR-546131     -5.612700     56.37988             35
+#> 9467  VR2AR-546131     -5.612700     56.37988             35
+#> 9468  VR2AR-546131     -5.612700     56.37988             35
+#> 9469  VR2AR-546131     -5.612700     56.37988             35
+#> 9470  VR2AR-546131     -5.612700     56.37988             35
+#> 9471  VR2AR-546131     -5.612700     56.37988             35
+#> 9472  VR2AR-546131     -5.612700     56.37988             35
+#> 9473  VR2AR-546131     -5.612700     56.37988             35
+#> 9474  VR2AR-546131     -5.612700     56.37988             35
+#> 9475  VR2AR-546131     -5.612700     56.37988             35
+#> 9476  VR2AR-546131     -5.612700     56.37988             35
+#> 9477  VR2AR-546131     -5.612700     56.37988             35
+#> 9478  VR2AR-546131     -5.612700     56.37988             35
+#> 9479  VR2AR-546131     -5.612700     56.37988             35
+#> 9480  VR2AR-546131     -5.612700     56.37988             35
+#> 9481  VR2AR-546131     -5.612700     56.37988             35
+#> 9482  VR2AR-546131     -5.612700     56.37988             35
+#> 9483  VR2AR-546131     -5.612700     56.37988             35
+#> 9484  VR2AR-546131     -5.612700     56.37988             35
+#> 9485  VR2AR-546131     -5.612700     56.37988             35
+#> 9486  VR2AR-546131     -5.612700     56.37988             35
+#> 9487  VR2AR-546131     -5.612700     56.37988             35
+#> 9488  VR2AR-546131     -5.612700     56.37988             35
+#> 9489  VR2AR-546131     -5.612700     56.37988             35
+#> 9490  VR2AR-546131     -5.612700     56.37988             35
+#> 9491  VR2AR-546131     -5.612700     56.37988             35
+#> 9492  VR2AR-546131     -5.612700     56.37988             35
+#> 9493  VR2AR-546131     -5.612700     56.37988             35
+#> 9494  VR2AR-546131     -5.612700     56.37988             35
+#> 9495  VR2AR-546131     -5.612700     56.37988             35
+#> 9496  VR2AR-546131     -5.612700     56.37988             35
+#> 9497  VR2AR-546131     -5.612700     56.37988             35
+#> 9498  VR2AR-546131     -5.612700     56.37988             35
+#> 9499  VR2AR-546131     -5.612700     56.37988             35
+#> 9500  VR2AR-546131     -5.612700     56.37988             35
+#> 9501  VR2AR-546131     -5.612700     56.37988             35
+#> 9502  VR2AR-546131     -5.612700     56.37988             35
+#> 9503  VR2AR-546131     -5.612700     56.37988             35
+#> 9504  VR2AR-546131     -5.612700     56.37988             35
+#> 9505  VR2AR-546131     -5.612700     56.37988             35
+#> 9506  VR2AR-546131     -5.612700     56.37988             35
+#> 9507  VR2AR-546131     -5.612700     56.37988             35
+#> 9508  VR2AR-546131     -5.612700     56.37988             35
+#> 9509  VR2AR-546131     -5.612700     56.37988             35
+#> 9510  VR2AR-546131     -5.612700     56.37988             35
+#> 9511  VR2AR-546131     -5.612700     56.37988             35
+#> 9512  VR2AR-546131     -5.612700     56.37988             35
+#> 9513  VR2AR-546131     -5.612700     56.37988             35
+#> 9514  VR2AR-546131     -5.612700     56.37988             35
+#> 9515  VR2AR-546131     -5.612700     56.37988             35
+#> 9516  VR2AR-546131     -5.612700     56.37988             35
+#> 9517  VR2AR-546131     -5.612700     56.37988             35
+#> 9518  VR2AR-546131     -5.612700     56.37988             35
+#> 9519  VR2AR-546131     -5.612700     56.37988             35
+#> 9520  VR2AR-546131     -5.612700     56.37988             35
+#> 9521  VR2AR-546131     -5.612700     56.37988             35
+#> 9522  VR2AR-546131     -5.612700     56.37988             35
+#> 9523  VR2AR-546131     -5.612700     56.37988             35
+#> 9524  VR2AR-546131     -5.612700     56.37988             35
+#> 9525  VR2AR-546131     -5.612700     56.37988             35
+#> 9526  VR2AR-546131     -5.612700     56.37988             35
+#> 9527  VR2AR-546131     -5.612700     56.37988             35
+#> 9528  VR2AR-546131     -5.612700     56.37988             35
+#> 9529  VR2AR-546131     -5.612700     56.37988             35
+#> 9530  VR2AR-546131     -5.612700     56.37988             35
+#> 9531  VR2AR-546131     -5.612700     56.37988             35
+#> 9532  VR2AR-546131     -5.612700     56.37988             35
+#> 9533  VR2AR-546131     -5.612700     56.37988             35
+#> 9534  VR2AR-546131     -5.612700     56.37988             35
+#> 9535  VR2AR-546131     -5.612700     56.37988             35
+#> 9536  VR2AR-546131     -5.612700     56.37988             35
+#> 9537  VR2AR-546131     -5.612700     56.37988             35
+#> 9538  VR2AR-546131     -5.612700     56.37988             35
+#> 9539  VR2AR-546131     -5.612700     56.37988             35
+#> 9540  VR2AR-546131     -5.612700     56.37988             35
+#> 9541  VR2AR-546131     -5.612700     56.37988             35
+#> 9542  VR2AR-546131     -5.612700     56.37988             35
+#> 9543  VR2AR-546131     -5.612700     56.37988             35
+#> 9544  VR2AR-546131     -5.612700     56.37988             35
+#> 9545  VR2AR-546131     -5.612700     56.37988             35
+#> 9546  VR2AR-546131     -5.612700     56.37988             35
+#> 9547  VR2AR-546131     -5.612700     56.37988             35
+#> 9548  VR2AR-546131     -5.612700     56.37988             35
+#> 9549  VR2AR-546131     -5.612700     56.37988             35
+#> 9550  VR2AR-546131     -5.612700     56.37988             35
+#> 9551  VR2AR-546131     -5.612700     56.37988             35
+#> 9552  VR2AR-546131     -5.612700     56.37988             35
+#> 9553  VR2AR-546131     -5.612700     56.37988             35
+#> 9554  VR2AR-546131     -5.612700     56.37988             35
+#> 9555  VR2AR-546131     -5.612700     56.37988             35
+#> 9556  VR2AR-546131     -5.612700     56.37988             35
+#> 9557  VR2AR-546131     -5.612700     56.37988             35
+#> 9558  VR2AR-546131     -5.612700     56.37988             35
+#> 9559  VR2AR-546131     -5.612700     56.37988             35
+#> 9560  VR2AR-546131     -5.612700     56.37988             35
+#> 9561  VR2AR-546131     -5.612700     56.37988             35
+#> 9562  VR2AR-546131     -5.612700     56.37988             35
+#> 9563  VR2AR-546131     -5.612700     56.37988             35
+#> 9564  VR2AR-546131     -5.612700     56.37988             35
+#> 9565  VR2AR-546131     -5.612700     56.37988             35
+#> 9566  VR2AR-546131     -5.612700     56.37988             35
+#> 9567  VR2AR-546131     -5.612700     56.37988             35
+#> 9568  VR2AR-546131     -5.612700     56.37988             35
+#> 9569  VR2AR-546131     -5.612700     56.37988             35
+#> 9570  VR2AR-546131     -5.612700     56.37988             35
+#> 9571  VR2AR-546131     -5.612700     56.37988             35
+#> 9572  VR2AR-546131     -5.612700     56.37988             35
+#> 9573  VR2AR-546131     -5.612700     56.37988             35
+#> 9574  VR2AR-546131     -5.612700     56.37988             35
+#> 9575  VR2AR-546131     -5.612700     56.37988             35
+#> 9576  VR2AR-546131     -5.612700     56.37988             35
+#> 9577  VR2AR-546131     -5.612700     56.37988             35
+#> 9578  VR2AR-546131     -5.612700     56.37988             35
+#> 9579  VR2AR-546131     -5.612700     56.37988             35
+#> 9580  VR2AR-546131     -5.612700     56.37988             35
+#> 9581  VR2AR-546131     -5.612700     56.37988             35
+#> 9582  VR2AR-546131     -5.612700     56.37988             35
+#> 9583  VR2AR-546131     -5.612700     56.37988             35
+#> 9584  VR2AR-546131     -5.612700     56.37988             35
+#> 9585  VR2AR-546131     -5.612700     56.37988             35
+#> 9586  VR2AR-546131     -5.612700     56.37988             35
+#> 9587  VR2AR-546131     -5.612700     56.37988             35
+#> 9588  VR2AR-546131     -5.612700     56.37988             35
+#> 9589  VR2AR-546131     -5.612700     56.37988             35
+#> 9590  VR2AR-546131     -5.612700     56.37988             35
+#> 9591  VR2AR-546131     -5.612700     56.37988             35
+#> 9592  VR2AR-546131     -5.612700     56.37988             35
+#> 9593  VR2AR-546131     -5.612700     56.37988             35
+#> 9594  VR2AR-546131     -5.612700     56.37988             35
+#> 9595  VR2AR-546131     -5.612700     56.37988             35
+#> 9596  VR2AR-546131     -5.612700     56.37988             35
+#> 9597  VR2AR-546131     -5.612700     56.37988             35
+#> 9598  VR2AR-546131     -5.612700     56.37988             35
+#> 9599  VR2AR-546131     -5.612700     56.37988             35
+#> 9600  VR2AR-546131     -5.612700     56.37988             35
+#> 9601  VR2AR-546131     -5.612700     56.37988             35
+#> 9602  VR2AR-546131     -5.612700     56.37988             35
+#> 9603  VR2AR-546131     -5.612700     56.37988             35
+#> 9604  VR2AR-546131     -5.612700     56.37988             35
+#> 9605  VR2AR-546131     -5.612700     56.37988             35
+#> 9606  VR2AR-546131     -5.612700     56.37988             35
+#> 9607  VR2AR-546131     -5.612700     56.37988             35
+#> 9608  VR2AR-546131     -5.612700     56.37988             35
+#> 9609  VR2AR-546131     -5.612700     56.37988             35
+#> 9610  VR2AR-546131     -5.612700     56.37988             35
+#> 9611  VR2AR-546131     -5.612700     56.37988             35
+#> 9612  VR2AR-546131     -5.612700     56.37988             35
+#> 9613  VR2AR-546131     -5.612700     56.37988             35
+#> 9614  VR2AR-546131     -5.612700     56.37988             35
+#> 9615  VR2AR-546131     -5.612700     56.37988             35
+#> 9616  VR2AR-546131     -5.612700     56.37988             35
+#> 9617  VR2AR-546131     -5.612700     56.37988             35
+#> 9618  VR2AR-546131     -5.612700     56.37988             35
+#> 9619  VR2AR-546131     -5.612700     56.37988             35
+#> 9620  VR2AR-546131     -5.612700     56.37988             35
+#> 9621  VR2AR-546131     -5.612700     56.37988             35
+#> 9622  VR2AR-546131     -5.612700     56.37988             35
+#> 9623  VR2AR-546131     -5.612700     56.37988             35
+#> 9624  VR2AR-546131     -5.612700     56.37988             35
+#> 9625  VR2AR-546131     -5.612700     56.37988             35
+#> 9626  VR2AR-546131     -5.612700     56.37988             35
+#> 9627  VR2AR-546131     -5.612700     56.37988             35
+#> 9628  VR2AR-546131     -5.612700     56.37988             35
+#> 9629  VR2AR-546131     -5.612700     56.37988             35
+#> 9630  VR2AR-546131     -5.612700     56.37988             35
+#> 9631  VR2AR-546131     -5.612700     56.37988             35
+#> 9632  VR2AR-546131     -5.612700     56.37988             35
+#> 9633  VR2AR-546131     -5.612700     56.37988             35
+#> 9634  VR2AR-546131     -5.612700     56.37988             35
+#> 9635  VR2AR-546131     -5.612700     56.37988             35
+#> 9636  VR2AR-546131     -5.612700     56.37988             35
+#> 9637  VR2AR-546131     -5.612700     56.37988             35
+#> 9638  VR2AR-546131     -5.612700     56.37988             35
+#> 9639  VR2AR-546131     -5.612700     56.37988             35
+#> 9640  VR2AR-546131     -5.612700     56.37988             35
+#> 9641  VR2AR-546131     -5.612700     56.37988             35
+#> 9642  VR2AR-546131     -5.612700     56.37988             35
+#> 9643  VR2AR-546131     -5.612700     56.37988             35
+#> 9644  VR2AR-546131     -5.612700     56.37988             35
+#> 9645  VR2AR-546131     -5.612700     56.37988             35
+#> 9646  VR2AR-546131     -5.612700     56.37988             35
+#> 9647  VR2AR-546131     -5.612700     56.37988             35
+#> 9648  VR2AR-546131     -5.612700     56.37988             35
+#> 9649  VR2AR-546131     -5.612700     56.37988             35
+#> 9650  VR2AR-546131     -5.612700     56.37988             35
+#> 9651  VR2AR-546131     -5.612700     56.37988             35
+#> 9652  VR2AR-546131     -5.612700     56.37988             35
+#> 9653  VR2AR-546131     -5.612700     56.37988             35
+#> 9654  VR2AR-546131     -5.612700     56.37988             35
+#> 9655  VR2AR-546131     -5.612700     56.37988             35
+#> 9656  VR2AR-546131     -5.612700     56.37988             35
+#> 9657  VR2AR-546131     -5.612700     56.37988             35
+#> 9658  VR2AR-546131     -5.612700     56.37988             35
+#> 9659  VR2AR-546131     -5.612700     56.37988             35
+#> 9660  VR2AR-546131     -5.612700     56.37988             35
+#> 9661  VR2AR-546131     -5.612700     56.37988             35
+#> 9662  VR2AR-546131     -5.612700     56.37988             35
+#> 9663  VR2AR-546131     -5.612700     56.37988             35
+#> 9664  VR2AR-546131     -5.612700     56.37988             35
+#> 9665  VR2AR-546131     -5.612700     56.37988             35
+#> 9666  VR2AR-546131     -5.612700     56.37988             35
+#> 9667  VR2AR-546131     -5.612700     56.37988             35
+#> 9668  VR2AR-546131     -5.612700     56.37988             35
+#> 9669  VR2AR-546131     -5.612700     56.37988             35
+#> 9670  VR2AR-546131     -5.612700     56.37988             35
+#> 9671  VR2AR-546131     -5.612700     56.37988             35
+#> 9672  VR2AR-546131     -5.612700     56.37988             35
+#> 9673  VR2AR-546131     -5.612700     56.37988             35
+#> 9674  VR2AR-546131     -5.612700     56.37988             35
+#> 9675  VR2AR-546131     -5.612700     56.37988             35
+#> 9676  VR2AR-546131     -5.612700     56.37988             35
+#> 9677  VR2AR-546131     -5.612700     56.37988             35
+#> 9678  VR2AR-546131     -5.612700     56.37988             35
+#> 9679  VR2AR-546131     -5.612700     56.37988             35
+#> 9680  VR2AR-546131     -5.612700     56.37988             35
+#> 9681  VR2AR-546131     -5.612700     56.37988             35
+#> 9682  VR2AR-546131     -5.612700     56.37988             35
+#> 9683  VR2AR-546131     -5.612700     56.37988             35
+#> 9684  VR2AR-546131     -5.612700     56.37988             35
+#> 9685  VR2AR-546131     -5.612700     56.37988             35
+#> 9686  VR2AR-546131     -5.612700     56.37988             35
+#> 9687  VR2AR-546131     -5.612700     56.37988             35
+#> 9688  VR2AR-546131     -5.612700     56.37988             35
+#> 9689  VR2AR-546584     -5.604973     56.37774             30
+#> 9690  VR2AR-546131     -5.612700     56.37988             35
+#> 9691  VR2AR-546584     -5.604973     56.37774             30
+#> 9692  VR2AR-546131     -5.612700     56.37988             35
+#> 9693  VR2AR-546131     -5.612700     56.37988             35
+#> 9694  VR2AR-546584     -5.604973     56.37774             30
+#> 9695  VR2AR-546131     -5.612700     56.37988             35
+#> 9696  VR2AR-546584     -5.604973     56.37774             30
+#> 9697  VR2AR-546131     -5.612700     56.37988             35
+#> 9698  VR2AR-546131     -5.612700     56.37988             35
+#> 9699  VR2AR-546584     -5.604973     56.37774             30
+#> 9700  VR2AR-546131     -5.612700     56.37988             35
+#> 9701  VR2AR-546584     -5.604973     56.37774             30
+#> 9702  VR2AR-546584     -5.604973     56.37774             30
+#> 9703  VR2AR-546131     -5.612700     56.37988             35
+#> 9704  VR2AR-546584     -5.604973     56.37774             30
+#> 9705  VR2AR-546584     -5.604973     56.37774             30
+#> 9706  VR2AR-546584     -5.604973     56.37774             30
+#> 9707  VR2AR-546131     -5.612700     56.37988             35
+#> 9708  VR2AR-546131     -5.612700     56.37988             35
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+#> 9710  VR2AR-546584     -5.604973     56.37774             30
+#> 9711  VR2AR-546131     -5.612700     56.37988             35
+#> 9712  VR2AR-546584     -5.604973     56.37774             30
+#> 9713  VR2AR-546584     -5.604973     56.37774             30
+#> 9714  VR2AR-546584     -5.604973     56.37774             30
+#> 9715  VR2AR-546584     -5.604973     56.37774             30
+#> 9716  VR2AR-546584     -5.604973     56.37774             30
+#> 9717  VR2AR-546584     -5.604973     56.37774             30
+#> 9718  VR2AR-546131     -5.612700     56.37988             35
+#> 9719  VR2AR-546584     -5.604973     56.37774             30
+#> 9720  VR2AR-546584     -5.604973     56.37774             30
+#> 9721  VR2AR-546131     -5.612700     56.37988             35
+#> 9722  VR2AR-546584     -5.604973     56.37774             30
+#> 9723  VR2AR-546131     -5.612700     56.37988             35
+#> 9724  VR2AR-546131     -5.612700     56.37988             35
+#> 9725  VR2AR-546131     -5.612700     56.37988             35
+#> 9726  VR2AR-546131     -5.612700     56.37988             35
+#> 9727  VR2AR-546131     -5.612700     56.37988             35
+#> 9728  VR2AR-546131     -5.612700     56.37988             35
+#> 9729  VR2AR-546131     -5.612700     56.37988             35
+#> 9730  VR2AR-546584     -5.604973     56.37774             30
+#> 9731  VR2AR-546131     -5.612700     56.37988             35
+#> 9732  VR2AR-546584     -5.604973     56.37774             30
+#> 9733  VR2AR-546131     -5.612700     56.37988             35
+#> 9734  VR2AR-546131     -5.612700     56.37988             35
+#> 9735  VR2AR-546131     -5.612700     56.37988             35
+#> 9736  VR2AR-546131     -5.612700     56.37988             35
+#> 9737  VR2AR-546131     -5.612700     56.37988             35
+#> 9738  VR2AR-546131     -5.612700     56.37988             35
+#> 9739  VR2AR-546131     -5.612700     56.37988             35
+#> 9740  VR2AR-546131     -5.612700     56.37988             35
+#> 9741  VR2AR-546131     -5.612700     56.37988             35
+#> 9742  VR2AR-546131     -5.612700     56.37988             35
+#> 9743  VR2AR-546131     -5.612700     56.37988             35
+#> 9744  VR2AR-546131     -5.612700     56.37988             35
+#> 9745  VR2AR-546131     -5.612700     56.37988             35
+#> 9746  VR2AR-546131     -5.612700     56.37988             35
+#> 9747  VR2AR-546131     -5.612700     56.37988             35
+#> 9748  VR2AR-546131     -5.612700     56.37988             35
+#> 9749  VR2AR-546131     -5.612700     56.37988             35
+#> 9750  VR2AR-546380     -5.637917     56.44800             25
+#> 9751  VR2AR-546380     -5.637917     56.44800             25
+#> 9752  VR2AR-546380     -5.637917     56.44800             25
+#> 9753  VR2AR-546136     -5.626250     56.44810             75
+#> 9754  VR2AR-546136     -5.626250     56.44810             75
+#> 9755  VR2AR-546380     -5.637917     56.44800             25
+#> 9756  VR2AR-546380     -5.637917     56.44800             25
+#> 9757  VR2AR-546380     -5.637917     56.44800             25
+#> 9758  VR2AR-546380     -5.637917     56.44800             25
+#> 9759  VR2AR-546380     -5.637917     56.44800             25
+#> 9760  VR2AR-546380     -5.637917     56.44800             25
+#> 9761  VR2AR-546380     -5.637917     56.44800             25
+#> 9762  VR2AR-546380     -5.637917     56.44800             25
+#> 9763  VR2AR-546380     -5.637917     56.44800             25
+#> 9764  VR2AR-546380     -5.637917     56.44800             25
+#> 9765  VR2AR-546380     -5.637917     56.44800             25
+#> 9766  VR2AR-546380     -5.637917     56.44800             25
+#> 9767  VR2AR-546380     -5.637917     56.44800             25
+#> 9768  VR2AR-546380     -5.637917     56.44800             25
+#> 9769  VR2AR-546380     -5.637917     56.44800             25
+#> 9770  VR2AR-546380     -5.637917     56.44800             25
+#> 9771  VR2AR-546380     -5.637917     56.44800             25
+#> 9772  VR2AR-546380     -5.637917     56.44800             25
+#> 9773  VR2AR-546380     -5.637917     56.44800             25
+#> 9774  VR2AR-546380     -5.637917     56.44800             25
+#> 9775  VR2AR-546380     -5.637917     56.44800             25
+#> 9776  VR2AR-546380     -5.637917     56.44800             25
+#> 9777  VR2AR-546134     -5.643867     56.38278            145
+#> 9778  VR2AR-546134     -5.643867     56.38278            145
+#> 9779  VR2AR-546134     -5.643867     56.38278            145
+#> 9780  VR2AR-546134     -5.643867     56.38278            145
+#> 9781  VR2AR-546134     -5.643867     56.38278            145
+#> 9782  VR2AR-546134     -5.643867     56.38278            145
+#> 9783  VR2AR-546134     -5.643867     56.38278            145
+#> 9784  VR2AR-546134     -5.643867     56.38278            145
+#> 9785  VR2AR-546134     -5.643867     56.38278            145
+#> 9786  VR2AR-546134     -5.643867     56.38278            145
+#> 9787  VR2AR-546134     -5.643867     56.38278            145
+#> 9788  VR2AR-546134     -5.643867     56.38278            145
+#> 9789  VR2AR-546134     -5.643867     56.38278            145
+#> 9790  VR2AR-546134     -5.643867     56.38278            145
+#> 9791  VR2AR-546131     -5.612700     56.37988             35
+#> 9792  VR2AR-546131     -5.612700     56.37988             35
+#> 9793  VR2AR-546131     -5.612700     56.37988             35
+#> 9794  VR2AR-546131     -5.612700     56.37988             35
+#> 9795  VR2AR-546131     -5.612700     56.37988             35
+#> 9796  VR2AR-546131     -5.612700     56.37988             35
+#> 9797  VR2AR-546131     -5.612700     56.37988             35
+#> 9798  VR2AR-546131     -5.612700     56.37988             35
+#> 9799  VR2AR-546131     -5.612700     56.37988             35
+#> 9800  VR2AR-546131     -5.612700     56.37988             35
+#> 9801  VR2AR-546131     -5.612700     56.37988             35
+#> 9802  VR2AR-546131     -5.612700     56.37988             35
+#> 9803  VR2AR-546131     -5.612700     56.37988             35
+#> 9804  VR2AR-546131     -5.612700     56.37988             35
+#> 9805  VR2AR-546131     -5.612700     56.37988             35
+#> 9806  VR2AR-546131     -5.612700     56.37988             35
+#> 9807  VR2AR-546131     -5.612700     56.37988             35
+#> 9808  VR2AR-546131     -5.612700     56.37988             35
+#> 9809  VR2AR-546131     -5.612700     56.37988             35
+#> 9810  VR2AR-546131     -5.612700     56.37988             35
+#> 9811  VR2AR-546131     -5.612700     56.37988             35
+#> 9812  VR2AR-546131     -5.612700     56.37988             35
+#> 9813  VR2AR-546131     -5.612700     56.37988             35
+#> 9814  VR2AR-546131     -5.612700     56.37988             35
+#> 9815  VR2AR-546131     -5.612700     56.37988             35
+#> 9816  VR2AR-546131     -5.612700     56.37988             35
+#> 9817  VR2AR-546131     -5.612700     56.37988             35
+#> 9818  VR2AR-546131     -5.612700     56.37988             35
+#> 9819  VR2AR-546131     -5.612700     56.37988             35
+#> 9820  VR2AR-546131     -5.612700     56.37988             35
+#> 9821  VR2AR-546131     -5.612700     56.37988             35
+#> 9822  VR2AR-546131     -5.612700     56.37988             35
+#> 9823  VR2AR-546131     -5.612700     56.37988             35
+#> 9824  VR2AR-546131     -5.612700     56.37988             35
+#> 9825  VR2AR-546131     -5.612700     56.37988             35
+#> 9826  VR2AR-546131     -5.612700     56.37988             35
+#> 9827  VR2AR-546131     -5.612700     56.37988             35
+#> 9828  VR2AR-546131     -5.612700     56.37988             35
+#> 9829  VR2AR-546131     -5.612700     56.37988             35
+#> 9830  VR2AR-546131     -5.612700     56.37988             35
+#> 9831  VR2AR-546131     -5.612700     56.37988             35
+#> 9832  VR2AR-546131     -5.612700     56.37988             35
+#> 9833  VR2AR-546131     -5.612700     56.37988             35
+#> 9834  VR2AR-546131     -5.612700     56.37988             35
+#> 9835  VR2AR-546131     -5.612700     56.37988             35
+#> 9836  VR2AR-546131     -5.612700     56.37988             35
+#> 9837  VR2AR-546131     -5.612700     56.37988             35
+#> 9838  VR2AR-546131     -5.612700     56.37988             35
+#> 9839  VR2AR-546131     -5.612700     56.37988             35
+#> 9840  VR2AR-546131     -5.612700     56.37988             35
+#> 9841  VR2AR-546131     -5.612700     56.37988             35
+#> 9842  VR2AR-546131     -5.612700     56.37988             35
+#> 9843  VR2AR-546131     -5.612700     56.37988             35
+#> 9844  VR2AR-546131     -5.612700     56.37988             35
+#> 9845  VR2AR-546131     -5.612700     56.37988             35
+#> 9846  VR2AR-546131     -5.612700     56.37988             35
+#> 9847  VR2AR-546131     -5.612700     56.37988             35
+#> 9848  VR2AR-546131     -5.612700     56.37988             35
+#> 9849  VR2AR-546131     -5.612700     56.37988             35
+#> 9850  VR2AR-546131     -5.612700     56.37988             35
+#> 9851  VR2AR-546131     -5.612700     56.37988             35
+#> 9852  VR2AR-546131     -5.612700     56.37988             35
+#> 9853  VR2AR-546131     -5.612700     56.37988             35
+#> 9854  VR2AR-546131     -5.612700     56.37988             35
+#> 9855  VR2AR-546131     -5.612700     56.37988             35
+#> 9856  VR2AR-546131     -5.612700     56.37988             35
+#> 9857  VR2AR-546131     -5.612700     56.37988             35
+#> 9858  VR2AR-546131     -5.612700     56.37988             35
+#> 9859  VR2AR-546131     -5.612700     56.37988             35
+#> 9860  VR2AR-546131     -5.612700     56.37988             35
+#> 9861  VR2AR-546131     -5.612700     56.37988             35
+#> 9862  VR2AR-546131     -5.612700     56.37988             35
+#> 9863  VR2AR-546131     -5.612700     56.37988             35
+#> 9864  VR2AR-546131     -5.612700     56.37988             35
+#> 9865  VR2AR-546131     -5.612700     56.37988             35
+#> 9866  VR2AR-546131     -5.612700     56.37988             35
+#> 9867  VR2AR-546131     -5.612700     56.37988             35
+#> 9868  VR2AR-546131     -5.612700     56.37988             35
+#> 9869  VR2AR-546131     -5.612700     56.37988             35
+#> 9870  VR2AR-546131     -5.612700     56.37988             35
+#> 9871  VR2AR-546131     -5.612700     56.37988             35
+#> 9872  VR2AR-546131     -5.612700     56.37988             35
+#> 9873  VR2AR-546131     -5.612700     56.37988             35
+#> 9874  VR2AR-546131     -5.612700     56.37988             35
+#> 9875  VR2AR-546131     -5.612700     56.37988             35
+#> 9876  VR2AR-546131     -5.612700     56.37988             35
+#> 9877  VR2AR-546131     -5.612700     56.37988             35
+#> 9878  VR2AR-546131     -5.612700     56.37988             35
+#> 9879  VR2AR-546131     -5.612700     56.37988             35
+#> 9880  VR2AR-546131     -5.612700     56.37988             35
+#> 9881  VR2AR-546131     -5.612700     56.37988             35
+#> 9882  VR2AR-546131     -5.612700     56.37988             35
+#> 9883  VR2AR-546131     -5.612700     56.37988             35
+#> 9884  VR2AR-546131     -5.612700     56.37988             35
+#> 9885  VR2AR-546131     -5.612700     56.37988             35
+#> 9886  VR2AR-546131     -5.612700     56.37988             35
+#> 9887  VR2AR-546131     -5.612700     56.37988             35
+#> 9888  VR2AR-546131     -5.612700     56.37988             35
+#> 9889  VR2AR-546131     -5.612700     56.37988             35
+#> 9890  VR2AR-546131     -5.612700     56.37988             35
+#> 9891  VR2AR-546131     -5.612700     56.37988             35
+#> 9892  VR2AR-546131     -5.612700     56.37988             35
+#> 9893  VR2AR-546131     -5.612700     56.37988             35
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+#> 9896  VR2AR-546131     -5.612700     56.37988             35
+#> 9897  VR2AR-546131     -5.612700     56.37988             35
+#> 9898  VR2AR-546131     -5.612700     56.37988             35
+#> 9899  VR2AR-546131     -5.612700     56.37988             35
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+#> 9901  VR2AR-546131     -5.612700     56.37988             35
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+#> 9904  VR2AR-546131     -5.612700     56.37988             35
+#> 9905  VR2AR-546584     -5.604973     56.37774             30
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+#> 9907  VR2AR-546131     -5.612700     56.37988             35
+#> 9908  VR2AR-546131     -5.612700     56.37988             35
+#> 9909  VR2AR-546584     -5.604973     56.37774             30
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+#> 9911  VR2AR-546131     -5.612700     56.37988             35
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+#> 9917  VR2AR-546131     -5.612700     56.37988             35
+#> 9918  VR2AR-546131     -5.612700     56.37988             35
+#> 9919  VR2AR-546131     -5.612700     56.37988             35
+#> 9920  VR2AR-546131     -5.612700     56.37988             35
+#> 9921  VR2AR-546131     -5.612700     56.37988             35
+#> 9922  VR2AR-546131     -5.612700     56.37988             35
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+#> 9931  VR2AR-546134     -5.643867     56.38278            145
+#> 9932  VR2AR-546134     -5.643867     56.38278            145
+#> 9933  VR2AR-546134     -5.643867     56.38278            145
+#> 9934  VR2AR-546134     -5.643867     56.38278            145
+#> 9935  VR2AR-546134     -5.643867     56.38278            145
+#> 9936  VR2AR-546134     -5.643867     56.38278            145
+#> 9937  VR2AR-546135     -5.657067     56.38803             85
+#> 9938  VR2AR-546135     -5.657067     56.38803             85
+#> 9939  VR2AR-546135     -5.657067     56.38803             85
+#> 9940  VR2AR-546135     -5.657067     56.38803             85
+#> 9941  VR2AR-546587     -5.661620     56.39041             15
+#> 9942  VR2AR-546135     -5.657067     56.38803             85
+#> 9943  VR2AR-546587     -5.661620     56.39041             15
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+#> 9945  VR2AR-546587     -5.661620     56.39041             15
+#> 9946  VR2AR-546587     -5.661620     56.39041             15
+#> 9947  VR2AR-546587     -5.661620     56.39041             15
+#> 9948  VR2AR-546587     -5.661620     56.39041             15
+#> 9949  VR2AR-546587     -5.661620     56.39041             15
+#> 9950  VR2AR-546587     -5.661620     56.39041             15
+#> 9951  VR2AR-546587     -5.661620     56.39041             15
+#> 9952  VR2AR-546587     -5.661620     56.39041             15
+#> 9953  VR2AR-546587     -5.661620     56.39041             15
+#> 9954  VR2AR-546587     -5.661620     56.39041             15
+#> 9955  VR2AR-546587     -5.661620     56.39041             15
+#> 9956  VR2AR-546587     -5.661620     56.39041             15
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+#> 9959  VR2AR-546587     -5.661620     56.39041             15
+#> 9960  VR2AR-546587     -5.661620     56.39041             15
+#> 9961  VR2AR-546587     -5.661620     56.39041             15
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+#> 9963  VR2AR-546587     -5.661620     56.39041             15
+#> 9964  VR2AR-546587     -5.661620     56.39041             15
+#> 9965  VR2AR-546135     -5.657067     56.38803             85
+#> 9966  VR2AR-546587     -5.661620     56.39041             15
+#> 9967  VR2AR-546131     -5.612700     56.37988             35
+#> 9968  VR2AR-546131     -5.612700     56.37988             35
+#> 9969  VR2AR-546131     -5.612700     56.37988             35
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+#> 9978  VR2AR-546131     -5.612700     56.37988             35
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+#> 9994  VR2AR-546131     -5.612700     56.37988             35
+#> 9995  VR2AR-546131     -5.612700     56.37988             35
+#> 9996  VR2AR-546131     -5.612700     56.37988             35
+#> 9997  VR2AR-546131     -5.612700     56.37988             35
+#> 9998  VR2AR-546131     -5.612700     56.37988             35
+#> 9999  VR2AR-546131     -5.612700     56.37988             35
+#> 10000 VR2AR-546131     -5.612700     56.37988             35
+#> 10001 VR2AR-546131     -5.612700     56.37988             35
+#> 10002 VR2AR-546131     -5.612700     56.37988             35
+#> 10003 VR2AR-546131     -5.612700     56.37988             35
+#> 10004 VR2AR-546131     -5.612700     56.37988             35
+#> 10005 VR2AR-546131     -5.612700     56.37988             35
+#> 10006 VR2AR-546131     -5.612700     56.37988             35
+#> 10007 VR2AR-546131     -5.612700     56.37988             35
+#> 10008 VR2AR-546131     -5.612700     56.37988             35
+#> 10009 VR2AR-546131     -5.612700     56.37988             35
+#> 10010 VR2AR-546131     -5.612700     56.37988             35
+#> 10011 VR2AR-546131     -5.612700     56.37988             35
+#> 10012 VR2AR-546131     -5.612700     56.37988             35
+#> 10013 VR2AR-546131     -5.612700     56.37988             35
+#> 10014 VR2AR-546131     -5.612700     56.37988             35
+#> 10015 VR2AR-546131     -5.612700     56.37988             35
+#> 10016 VR2AR-546131     -5.612700     56.37988             35
+#> 10017 VR2AR-546131     -5.612700     56.37988             35
+#> 10018 VR2AR-546131     -5.612700     56.37988             35
+#> 10019 VR2AR-546131     -5.612700     56.37988             35
+#> 10020 VR2AR-546131     -5.612700     56.37988             35
+#> 10021 VR2AR-546131     -5.612700     56.37988             35
+#> 10022 VR2AR-546131     -5.612700     56.37988             35
+#> 10023 VR2AR-546131     -5.612700     56.37988             35
+#> 10024 VR2AR-546131     -5.612700     56.37988             35
+#> 10025 VR2AR-546131     -5.612700     56.37988             35
+#> 10026 VR2AR-546131     -5.612700     56.37988             35
+#> 10027 VR2AR-546131     -5.612700     56.37988             35
+#> 10028 VR2AR-546380     -5.637917     56.44800             25
+#> 10029 VR2AR-546380     -5.637917     56.44800             25
+#> 10030 VR2AR-546380     -5.637917     56.44800             25
+#> 10031 VR2AR-546380     -5.637917     56.44800             25
+#> 10032 VR2AR-546380     -5.637917     56.44800             25
+#> 10033 VR2AR-546380     -5.637917     56.44800             25
+#> 10034 VR2AR-546380     -5.637917     56.44800             25
+#> 10035 VR2AR-546380     -5.637917     56.44800             25
+#> 10036 VR2AR-546136     -5.626250     56.44810             75
+#> 10037 VR2AR-546136     -5.626250     56.44810             75
+#> 10038 VR2AR-546136     -5.626250     56.44810             75
+#> 10039 VR2AR-546136     -5.626250     56.44810             75
+#> 10040 VR2AR-546136     -5.626250     56.44810             75
+#> 10041 VR2AR-546136     -5.626250     56.44810             75
+#> 10042 VR2AR-546133     -5.701717     56.49747             90
+#> 10043 VR2AR-546133     -5.701717     56.49747             90
+#> 10044 VR2AR-546133     -5.701717     56.49747             90
+#> 10045 VR2AR-546133     -5.701717     56.49747             90
+#> 10046 VR2AR-546133     -5.701717     56.49747             90
+#> 10047 VR2AR-546133     -5.701717     56.49747             90
+#> 10048 VR2AR-546133     -5.701717     56.49747             90
+#> 10049 VR2AR-546133     -5.701717     56.49747             90
+#> 10050 VR2AR-546133     -5.701717     56.49747             90
+#> 10051 VR2AR-546133     -5.701717     56.49747             90
+#> 10052 VR2AR-546133     -5.701717     56.49747             90
+#> 10053 VR2AR-546133     -5.701717     56.49747             90
+#> 10054 VR2AR-546133     -5.701717     56.49747             90
+#> 10055 VR2AR-546133     -5.701717     56.49747             90
+#> 10056 VR2AR-546133     -5.701717     56.49747             90
+#> 10057 VR2AR-546133     -5.701717     56.49747             90
+#> 10058 VR2AR-546133     -5.701717     56.49747             90
+#> 10059 VR2AR-546133     -5.701717     56.49747             90
+#> 10060 VR2AR-546133     -5.701717     56.49747             90
+#> 10061 VR2AR-546133     -5.701717     56.49747             90
+#> 10062 VR2AR-546133     -5.701717     56.49747             90
+#> 10063 VR2AR-546133     -5.701717     56.49747             90
+#> 10064 VR2AR-546133     -5.701717     56.49747             90
+#> 10065 VR2AR-546133     -5.701717     56.49747             90
+#> 10066 VR2AR-546133     -5.701717     56.49747             90
+#> 10067 VR2AR-546133     -5.701717     56.49747             90
+#> 10068 VR2AR-546133     -5.701717     56.49747             90
+#> 10069 VR2AR-546133     -5.701717     56.49747             90
+#> 10070 VR2AR-546133     -5.701717     56.49747             90
+#> 10071 VR2AR-546133     -5.701717     56.49747             90
+#> 10072 VR2AR-546133     -5.701717     56.49747             90
+#> 10073 VR2AR-546133     -5.701717     56.49747             90
+#> 10074 VR2AR-546133     -5.701717     56.49747             90
+#> 10075 VR2AR-546133     -5.701717     56.49747             90
+#> 10076 VR2AR-546133     -5.701717     56.49747             90
+#> 10077 VR2AR-546133     -5.701717     56.49747             90
+#> 10078 VR2AR-546133     -5.701717     56.49747             90
+#> 10079 VR2AR-546133     -5.701717     56.49747             90
+#> 10080 VR2AR-546133     -5.701717     56.49747             90
+#> 10081 VR2AR-546133     -5.701717     56.49747             90
+#> 10082 VR2AR-546133     -5.701717     56.49747             90
+#> 10083 VR2AR-546133     -5.701717     56.49747             90
+#> 10084 VR2AR-546133     -5.701717     56.49747             90
+#> 10085 VR2AR-546133     -5.701717     56.49747             90
+#> 10086 VR2AR-546133     -5.701717     56.49747             90
+#> 10087 VR2AR-546133     -5.701717     56.49747             90
+#> 10088 VR2AR-546133     -5.701717     56.49747             90
+#> 10089 VR2AR-546133     -5.701717     56.49747             90
+#> 10090 VR2AR-546586     -5.707092     56.49447             20
+#> 10091 VR2AR-546133     -5.701717     56.49747             90
+#> 10092 VR2AR-546133     -5.701717     56.49747             90
+#> 10093 VR2AR-546586     -5.707092     56.49447             20
+#> 10094 VR2AR-546133     -5.701717     56.49747             90
+#> 10095 VR2AR-546133     -5.701717     56.49747             90
+#> 10096 VR2AR-546133     -5.701717     56.49747             90
+#> 10097 VR2AR-546586     -5.707092     56.49447             20
+#> 10098 VR2AR-546133     -5.701717     56.49747             90
+#> 10099 VR2AR-546133     -5.701717     56.49747             90
+#> 10100 VR2AR-546133     -5.701717     56.49747             90
+#> 10101 VR2AR-546586     -5.707092     56.49447             20
+#> 10102 VR2AR-546586     -5.707092     56.49447             20
+#> 10103 VR2AR-546133     -5.701717     56.49747             90
+#> 10104 VR2AR-546586     -5.707092     56.49447             20
+#> 10105 VR2AR-546133     -5.701717     56.49747             90
+#> 10106 VR2AR-546133     -5.701717     56.49747             90
+#> 10107 VR2AR-546586     -5.707092     56.49447             20
+#> 10108 VR2AR-546133     -5.701717     56.49747             90
+#> 10109 VR2AR-546586     -5.707092     56.49447             20
+#> 10110 VR2AR-546586     -5.707092     56.49447             20
+#> 10111 VR2AR-546586     -5.707092     56.49447             20
+#> 10112 VR2AR-546133     -5.701717     56.49747             90
+#> 10113 VR2AR-546586     -5.707092     56.49447             20
+#> 10114 VR2AR-546586     -5.707092     56.49447             20
+#> 10115 VR2AR-546133     -5.701717     56.49747             90
+#> 10116 VR2AR-546586     -5.707092     56.49447             20
+#> 10117 VR2AR-546586     -5.707092     56.49447             20
+#> 10118 VR2AR-546133     -5.701717     56.49747             90
+#> 10119 VR2AR-546133     -5.701717     56.49747             90
+#> 10120 VR2AR-546586     -5.707092     56.49447             20
+#> 10121 VR2AR-546586     -5.707092     56.49447             20
+#> 10122 VR2AR-546133     -5.701717     56.49747             90
+#> 10123 VR2AR-546586     -5.707092     56.49447             20
+#> 10124 VR2AR-546586     -5.707092     56.49447             20
+#> 10125 VR2AR-546586     -5.707092     56.49447             20
+#> 10126 VR2AR-546586     -5.707092     56.49447             20
+#> 10127 VR2AR-546586     -5.707092     56.49447             20
+#> 10128 VR2AR-546586     -5.707092     56.49447             20
+#> 10129 VR2AR-546586     -5.707092     56.49447             20
+#> 10130 VR2AR-546586     -5.707092     56.49447             20
+#> 10131 VR2AR-546586     -5.707092     56.49447             20
+#> 10132 VR2AR-546586     -5.707092     56.49447             20
+#> 10133 VR2AR-546133     -5.701717     56.49747             90
+#> 10134 VR2AR-546586     -5.707092     56.49447             20
+#> 10135 VR2AR-546133     -5.701717     56.49747             90
+#> 10136 VR2AR-546133     -5.701717     56.49747             90
+#> 10137 VR2AR-546133     -5.701717     56.49747             90
+#> 10138 VR2AR-546133     -5.701717     56.49747             90
+#> 10139 VR2AR-546133     -5.701717     56.49747             90
+#> 10140 VR2AR-546133     -5.701717     56.49747             90
+#> 10141 VR2AR-546133     -5.701717     56.49747             90
+#> 10142 VR2AR-546133     -5.701717     56.49747             90
+#> 10143 VR2AR-546133     -5.701717     56.49747             90
+#> 10144 VR2AR-546133     -5.701717     56.49747             90
+#> 10145 VR2AR-546133     -5.701717     56.49747             90
+#> 10146 VR2AR-546133     -5.701717     56.49747             90
+#> 10147 VR2AR-546133     -5.701717     56.49747             90
+#> 10148 VR2AR-546133     -5.701717     56.49747             90
+#> 10149 VR2AR-546133     -5.701717     56.49747             90
+#> 10150 VR2AR-546133     -5.701717     56.49747             90
+#> 10151 VR2AR-546133     -5.701717     56.49747             90
+#> 10152 VR2AR-546133     -5.701717     56.49747             90
+#> 10153 VR2AR-546133     -5.701717     56.49747             90
+#> 10154 VR2AR-546133     -5.701717     56.49747             90
+#> 10155 VR2AR-546133     -5.701717     56.49747             90
+#> 10156 VR2AR-546586     -5.707092     56.49447             20
+#> 10157 VR2AR-546133     -5.701717     56.49747             90
+#> 10158 VR2AR-546133     -5.701717     56.49747             90
+#> 10159 VR2AR-546133     -5.701717     56.49747             90
+#> 10160 VR2AR-546133     -5.701717     56.49747             90
+#> 10161 VR2AR-546586     -5.707092     56.49447             20
+#> 10162 VR2AR-546586     -5.707092     56.49447             20
+#> 10163 VR2AR-546133     -5.701717     56.49747             90
+#> 10164 VR2AR-546586     -5.707092     56.49447             20
+#> 10165 VR2AR-546133     -5.701717     56.49747             90
+#> 10166 VR2AR-546133     -5.701717     56.49747             90
+#> 10167 VR2AR-546133     -5.701717     56.49747             90
+#> 10168 VR2AR-546586     -5.707092     56.49447             20
+#> 10169 VR2AR-546133     -5.701717     56.49747             90
+#> 10170 VR2AR-546133     -5.701717     56.49747             90
+#> 10171 VR2AR-546133     -5.701717     56.49747             90
+#> 10172 VR2AR-546133     -5.701717     56.49747             90
+#> 10173 VR2AR-546133     -5.701717     56.49747             90
+#> 10174 VR2AR-546133     -5.701717     56.49747             90
+#> 10175 VR2AR-546133     -5.701717     56.49747             90
+#> 10176 VR2AR-546133     -5.701717     56.49747             90
+#> 10177 VR2AR-546133     -5.701717     56.49747             90
+#> 10178 VR2AR-546133     -5.701717     56.49747             90
+#> 10179 VR2AR-546133     -5.701717     56.49747             90
+#> 10180 VR2AR-546133     -5.701717     56.49747             90
+#> 10181 VR2AR-546133     -5.701717     56.49747             90
+#> 10182 VR2AR-546133     -5.701717     56.49747             90
+#> 10183 VR2AR-546133     -5.701717     56.49747             90
+#> 10184 VR2AR-546133     -5.701717     56.49747             90
+#> 10185 VR2AR-546133     -5.701717     56.49747             90
+#> 10186 VR2AR-546133     -5.701717     56.49747             90
+#> 10187 VR2AR-546133     -5.701717     56.49747             90
+#> 10188 VR2AR-546133     -5.701717     56.49747             90
+#> 10189 VR2AR-546133     -5.701717     56.49747             90
+#> 10190 VR2AR-546133     -5.701717     56.49747             90
+#> 10191 VR2AR-546133     -5.701717     56.49747             90
+#> 10192 VR2AR-546133     -5.701717     56.49747             90
+#> 10193 VR2AR-546133     -5.701717     56.49747             90
+#> 10194 VR2AR-546133     -5.701717     56.49747             90
+#> 10195 VR2AR-546133     -5.701717     56.49747             90
+#> 10196 VR2AR-546133     -5.701717     56.49747             90
+#> 10197 VR2AR-546133     -5.701717     56.49747             90
+#> 10198 VR2AR-546133     -5.701717     56.49747             90
+#> 10199 VR2AR-546133     -5.701717     56.49747             90
+#> 10200 VR2AR-546133     -5.701717     56.49747             90
+#> 10201 VR2AR-546133     -5.701717     56.49747             90
+#> 10202 VR2AR-546133     -5.701717     56.49747             90
+#> 10203 VR2AR-546133     -5.701717     56.49747             90
+#> 10204 VR2AR-546133     -5.701717     56.49747             90
+#> 10205 VR2AR-546133     -5.701717     56.49747             90
+#> 10206 VR2AR-546133     -5.701717     56.49747             90
+#> 10207 VR2AR-546133     -5.701717     56.49747             90
+#> 10208 VR2AR-546133     -5.701717     56.49747             90
+#> 10209 VR2AR-546133     -5.701717     56.49747             90
+#> 10210 VR2AR-546133     -5.701717     56.49747             90
+#> 10211 VR2AR-546133     -5.701717     56.49747             90
+#> 10212 VR2AR-546133     -5.701717     56.49747             90
+#> 10213 VR2AR-546133     -5.701717     56.49747             90
+#> 10214 VR2AR-546133     -5.701717     56.49747             90
+#> 10215 VR2AR-546133     -5.701717     56.49747             90
+#> 10216 VR2AR-546133     -5.701717     56.49747             90
+#> 10217 VR2AR-546133     -5.701717     56.49747             90
+#> 10218 VR2AR-546133     -5.701717     56.49747             90
+#> 10219 VR2AR-546133     -5.701717     56.49747             90
+#> 10220 VR2AR-546133     -5.701717     56.49747             90
+#> 10221 VR2AR-546133     -5.701717     56.49747             90
+#> 10222 VR2AR-546133     -5.701717     56.49747             90
+#> 10223 VR2AR-546133     -5.701717     56.49747             90
+#> 10224 VR2AR-546133     -5.701717     56.49747             90
+#> 10225 VR2AR-546133     -5.701717     56.49747             90
+#> 10226 VR2AR-546133     -5.701717     56.49747             90
+#> 10227 VR2AR-546133     -5.701717     56.49747             90
+#> 10228 VR2AR-546133     -5.701717     56.49747             90
+#> 10229 VR2AR-546133     -5.701717     56.49747             90
+#> 10230 VR2AR-546133     -5.701717     56.49747             90
+#> 10231 VR2AR-546133     -5.701717     56.49747             90
+#> 10232 VR2AR-546133     -5.701717     56.49747             90
+#> 10233 VR2AR-546133     -5.701717     56.49747             90
+#> 10234 VR2AR-546133     -5.701717     56.49747             90
+#> 10235 VR2AR-546133     -5.701717     56.49747             90
+#> 10236 VR2AR-546133     -5.701717     56.49747             90
+#> 10237 VR2AR-546133     -5.701717     56.49747             90
+#> 10238 VR2AR-546133     -5.701717     56.49747             90
+#> 10239 VR2AR-546133     -5.701717     56.49747             90
+#> 10240 VR2AR-546133     -5.701717     56.49747             90
+#> 10241 VR2AR-546133     -5.701717     56.49747             90
+#> 10242 VR2AR-546133     -5.701717     56.49747             90
+#> 10243 VR2AR-546133     -5.701717     56.49747             90
+#> 10244 VR2AR-546133     -5.701717     56.49747             90
+#> 10245 VR2AR-546133     -5.701717     56.49747             90
+#> 10246 VR2AR-546133     -5.701717     56.49747             90
+#> 10247 VR2AR-546133     -5.701717     56.49747             90
+#> 10248 VR2AR-546133     -5.701717     56.49747             90
+#> 10249 VR2AR-546133     -5.701717     56.49747             90
+#> 10250 VR2AR-546133     -5.701717     56.49747             90
+#> 10251 VR2AR-546133     -5.701717     56.49747             90
+#> 10252 VR2AR-546133     -5.701717     56.49747             90
+#> 10253 VR2AR-546133     -5.701717     56.49747             90
+#> 10254 VR2AR-546133     -5.701717     56.49747             90
+#> 10255 VR2AR-546133     -5.701717     56.49747             90
+#> 10256 VR2AR-546133     -5.701717     56.49747             90
+#> 10257 VR2AR-546586     -5.707092     56.49447             20
+#> 10258 VR2AR-546133     -5.701717     56.49747             90
+#> 10259 VR2AR-546133     -5.701717     56.49747             90
+#> 10260 VR2AR-546133     -5.701717     56.49747             90
+#> 10261 VR2AR-546586     -5.707092     56.49447             20
+#> 10262 VR2AR-546133     -5.701717     56.49747             90
+#> 10263 VR2AR-546133     -5.701717     56.49747             90
+#> 10264 VR2AR-546133     -5.701717     56.49747             90
+#> 10265 VR2AR-546586     -5.707092     56.49447             20
+#> 10266 VR2AR-546133     -5.701717     56.49747             90
+#> 10267 VR2AR-546133     -5.701717     56.49747             90
+#> 10268 VR2AR-546133     -5.701717     56.49747             90
+#> 10269 VR2AR-546586     -5.707092     56.49447             20
+#> 10270 VR2AR-546133     -5.701717     56.49747             90
+#> 10271 VR2AR-546133     -5.701717     56.49747             90
+#> 10272 VR2AR-546133     -5.701717     56.49747             90
+#> 10273 VR2AR-546133     -5.701717     56.49747             90
+#> 10274 VR2AR-546133     -5.701717     56.49747             90
+#> 10275     VR2-5637     -5.692417     56.49913             25
+#> 10276     VR2-5637     -5.692417     56.49913             25
+#> 10277     VR2-5637     -5.692417     56.49913             25
+#> 10278     VR2-5637     -5.692417     56.49913             25
+#> 10279 VR2AR-546133     -5.701717     56.49747             90
+#> 10280 VR2AR-546133     -5.701717     56.49747             90
+#> 10281 VR2AR-546133     -5.701717     56.49747             90
+#> 10282 VR2AR-546133     -5.701717     56.49747             90
+#> 10283 VR2AR-546133     -5.701717     56.49747             90
+#> 10284 VR2AR-546133     -5.701717     56.49747             90
+#> 10285 VR2AR-546136     -5.626250     56.44810             75
+#> 10286 VR2AR-546136     -5.626250     56.44810             75
+#> 10287 VR2AR-546136     -5.626250     56.44810             75
+#> 10288 VR2AR-546136     -5.626250     56.44810             75
+#> 10289 VR2AR-546136     -5.626250     56.44810             75
+#> 10290 VR2AR-546136     -5.626250     56.44810             75
+#> 10291 VR2AR-546131     -5.612700     56.37988             35
+#> 10292 VR2AR-546131     -5.612700     56.37988             35
+#> 10293 VR2AR-546131     -5.612700     56.37988             35
+#> 10294 VR2AR-546131     -5.612700     56.37988             35
+#> 10295 VR2AR-546131     -5.612700     56.37988             35
+#> 10296 VR2AR-546131     -5.612700     56.37988             35
+#> 10297 VR2AR-546131     -5.612700     56.37988             35
+#> 10298 VR2AR-546131     -5.612700     56.37988             35
+#> 10299 VR2AR-546131     -5.612700     56.37988             35
+#> 10300 VR2AR-546131     -5.612700     56.37988             35
+#> 10301 VR2AR-546131     -5.612700     56.37988             35
+#> 10302 VR2AR-546131     -5.612700     56.37988             35
+#> 10303 VR2AR-546131     -5.612700     56.37988             35
+#> 10304 VR2AR-546131     -5.612700     56.37988             35
+#> 10305 VR2AR-546131     -5.612700     56.37988             35
+#> 10306 VR2AR-546131     -5.612700     56.37988             35
+#> 10307 VR2AR-546131     -5.612700     56.37988             35
+#> 10308 VR2AR-546131     -5.612700     56.37988             35
+#> 10309 VR2AR-546131     -5.612700     56.37988             35
+#> 10310 VR2AR-546131     -5.612700     56.37988             35
+#> 10311 VR2AR-546131     -5.612700     56.37988             35
+#> 10312 VR2AR-546131     -5.612700     56.37988             35
+#> 10313 VR2AR-546131     -5.612700     56.37988             35
+#> 10314 VR2AR-546131     -5.612700     56.37988             35
+#> 10315 VR2AR-546131     -5.612700     56.37988             35
+#> 10316 VR2AR-546131     -5.612700     56.37988             35
+#> 10317 VR2AR-546131     -5.612700     56.37988             35
+#> 10318 VR2AR-546131     -5.612700     56.37988             35
+#> 10319 VR2AR-546131     -5.612700     56.37988             35
+#> 10320 VR2AR-546131     -5.612700     56.37988             35
+#> 10321 VR2AR-546131     -5.612700     56.37988             35
+#> 10322 VR2AR-546131     -5.612700     56.37988             35
+#> 10323 VR2AR-546131     -5.612700     56.37988             35
+#> 10324 VR2AR-546131     -5.612700     56.37988             35
+#> 10325 VR2AR-546131     -5.612700     56.37988             35
+#> 10326 VR2AR-546131     -5.612700     56.37988             35
+#> 10327 VR2AR-546131     -5.612700     56.37988             35
+#> 10328 VR2AR-546131     -5.612700     56.37988             35
+#> 10329 VR2AR-546131     -5.612700     56.37988             35
+#> 10330 VR2AR-546131     -5.612700     56.37988             35
+#> 10331 VR2AR-546131     -5.612700     56.37988             35
+#> 10332 VR2AR-546131     -5.612700     56.37988             35
+#> 10333 VR2AR-546131     -5.612700     56.37988             35
+#> 10334 VR2AR-546131     -5.612700     56.37988             35
+#> 10335 VR2AR-546131     -5.612700     56.37988             35
+#> 10336 VR2AR-546131     -5.612700     56.37988             35
+#> 10337 VR2AR-546131     -5.612700     56.37988             35
+#> 10338 VR2AR-546131     -5.612700     56.37988             35
+#> 10339 VR2AR-546131     -5.612700     56.37988             35
+#> 10340 VR2AR-546380     -5.637917     56.44800             25
+#> 10341 VR2AR-546380     -5.637917     56.44800             25
+#> 10342 VR2AR-546136     -5.626250     56.44810             75
+#> 10343 VR2AR-546136     -5.626250     56.44810             75
+#> 10344 VR2AR-546380     -5.637917     56.44800             25
+#> 10345 VR2AR-546380     -5.637917     56.44800             25
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+#> 10348 VR2AR-546134     -5.643867     56.38278            145
+#> 10349 VR2AR-546134     -5.643867     56.38278            145
+#> 10350 VR2AR-546134     -5.643867     56.38278            145
+#> 10351 VR2AR-546134     -5.643867     56.38278            145
+#> 10352 VR2AR-546134     -5.643867     56.38278            145
+#> 10353 VR2AR-546134     -5.643867     56.38278            145
+#> 10354 VR2AR-546134     -5.643867     56.38278            145
+#> 10355 VR2AR-546134     -5.643867     56.38278            145
+#> 10356 VR2AR-546134     -5.643867     56.38278            145
+#> 10357 VR2AR-546134     -5.643867     56.38278            145
+#> 10358 VR2AR-546134     -5.643867     56.38278            145
+#> 10359 VR2AR-546134     -5.643867     56.38278            145
+#> 10360 VR2AR-546134     -5.643867     56.38278            145
+#> 10361 VR2AR-546134     -5.643867     56.38278            145
+#> 10362 VR2AR-546134     -5.643867     56.38278            145
+#> 10363 VR2AR-546134     -5.643867     56.38278            145
+#> 10364 VR2AR-546134     -5.643867     56.38278            145
+#> 10365 VR2AR-546134     -5.643867     56.38278            145
+#> 10366 VR2AR-546134     -5.643867     56.38278            145
+#> 10367 VR2AR-546134     -5.643867     56.38278            145
+#> 10368 VR2AR-546134     -5.643867     56.38278            145
+#> 10369 VR2AR-546134     -5.643867     56.38278            145
+#> 10370 VR2AR-546134     -5.643867     56.38278            145
+#> 10371 VR2AR-546134     -5.643867     56.38278            145
+#> 10372 VR2AR-546134     -5.643867     56.38278            145
+#> 10373 VR2AR-546134     -5.643867     56.38278            145
+#> 10374 VR2AR-546134     -5.643867     56.38278            145
+#> 10375 VR2AR-546134     -5.643867     56.38278            145
+#> 10376 VR2AR-546134     -5.643867     56.38278            145
+#> 10377 VR2AR-546134     -5.643867     56.38278            145
+#> 10378 VR2AR-546134     -5.643867     56.38278            145
+#> 10379 VR2AR-546134     -5.643867     56.38278            145
+#> 10380 VR2AR-546134     -5.643867     56.38278            145
+#> 10381 VR2AR-546134     -5.643867     56.38278            145
+#> 10382 VR2AR-546134     -5.643867     56.38278            145
+#> 10383 VR2AR-546585     -5.623995     56.37436             75
+#> 10384 VR2AR-546585     -5.623995     56.37436             75
+#> 10385 VR2AR-546585     -5.623995     56.37436             75
+#> 10386 VR2AR-546585     -5.623995     56.37436             75
+#> 10387 VR2AR-546585     -5.623995     56.37436             75
+#> 10388 VR2AR-546585     -5.623995     56.37436             75
+#> 10389 VR2AR-546585     -5.623995     56.37436             75
+#> 10390 VR2AR-546585     -5.623995     56.37436             75
+#> 10391 VR2AR-546585     -5.623995     56.37436             75
+#> 10392 VR2AR-546585     -5.623995     56.37436             75
+#> 10393 VR2AR-546585     -5.623995     56.37436             75
+#> 10394 VR2AR-546585     -5.623995     56.37436             75
+#> 10395 VR2AR-546585     -5.623995     56.37436             75
+#> 10396 VR2AR-546585     -5.623995     56.37436             75
+#> 10397 VR2AR-546585     -5.623995     56.37436             75
+#> 10398 VR2AR-546585     -5.623995     56.37436             75
+#> 10399 VR2AR-546585     -5.623995     56.37436             75
+#> 10400 VR2AR-546585     -5.623995     56.37436             75
+#> 10401 VR2AR-546585     -5.623995     56.37436             75
+#> 10402 VR2AR-546585     -5.623995     56.37436             75
+#> 10403 VR2AR-546585     -5.623995     56.37436             75
+#> 10404  VR2W-108158     -5.619533     56.37413             25
+#> 10405  VR2W-108158     -5.619533     56.37413             25
+#> 10406 VR2AR-546585     -5.623995     56.37436             75
+#> 10407  VR2W-108158     -5.619533     56.37413             25
+#> 10408 VR2AR-546585     -5.623995     56.37436             75
+#> 10409 VR2AR-546585     -5.623995     56.37436             75
+#> 10410 VR2AR-546585     -5.623995     56.37436             75
+#> 10411  VR2W-108158     -5.619533     56.37413             25
+#> 10412  VR2W-108158     -5.619533     56.37413             25
+#> 10413  VR2W-108158     -5.619533     56.37413             25
+#> 10414  VR2W-108158     -5.619533     56.37413             25
+#> 10415  VR2W-108158     -5.619533     56.37413             25
+#> 10416  VR2W-108158     -5.619533     56.37413             25
+#> 10417 VR2AR-546585     -5.623995     56.37436             75
+#> 10418  VR2W-108158     -5.619533     56.37413             25
+#> 10419  VR2W-108158     -5.619533     56.37413             25
+#> 10420  VR2W-108158     -5.619533     56.37413             25
+#> 10421 VR2AR-546585     -5.623995     56.37436             75
+#> 10422  VR2W-108158     -5.619533     56.37413             25
+#> 10423  VR2W-108158     -5.619533     56.37413             25
+#> 10424  VR2W-108158     -5.619533     56.37413             25
+#> 10425  VR2W-108158     -5.619533     56.37413             25
+#> 10426  VR2W-108158     -5.619533     56.37413             25
+#> 10427  VR2W-108158     -5.619533     56.37413             25
+#> 10428 VR2AR-546585     -5.623995     56.37436             75
+#> 10429  VR2W-108158     -5.619533     56.37413             25
+#> 10430  VR2W-108158     -5.619533     56.37413             25
+#> 10431 VR2AR-546585     -5.623995     56.37436             75
+#> 10432  VR2W-108158     -5.619533     56.37413             25
+#> 10433 VR2AR-546585     -5.623995     56.37436             75
+#> 10434  VR2W-108158     -5.619533     56.37413             25
+#> 10435  VR2W-108158     -5.619533     56.37413             25
+#> 10436 VR2AR-546585     -5.623995     56.37436             75
+#> 10437  VR2W-108158     -5.619533     56.37413             25
+#> 10438  VR2W-108158     -5.619533     56.37413             25
+#> 10439  VR2W-108158     -5.619533     56.37413             25
+#> 10440 VR2AR-546585     -5.623995     56.37436             75
+#> 10441  VR2W-108158     -5.619533     56.37413             25
+#> 10442 VR2AR-546585     -5.623995     56.37436             75
+#> 10443  VR2W-108158     -5.619533     56.37413             25
+#> 10444 VR2AR-546585     -5.623995     56.37436             75
+#> 10445  VR2W-108158     -5.619533     56.37413             25
+#> 10446 VR2AR-546585     -5.623995     56.37436             75
+#> 10447  VR2W-108158     -5.619533     56.37413             25
+#> 10448  VR2W-108158     -5.619533     56.37413             25
+#> 10449 VR2AR-546585     -5.623995     56.37436             75
+#> 10450 VR2AR-546585     -5.623995     56.37436             75
+#> 10451 VR2AR-546585     -5.623995     56.37436             75
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+#> 10453 VR2AR-546585     -5.623995     56.37436             75
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+#> 10455  VR2W-108158     -5.619533     56.37413             25
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+#> 10460 VR2AR-546131     -5.612700     56.37988             35
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+#> 10485 VR2AR-546131     -5.612700     56.37988             35
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+#> 10503 VR2AR-546131     -5.612700     56.37988             35
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+#> 10505 VR2AR-546131     -5.612700     56.37988             35
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+#> 10509 VR2AR-546584     -5.604973     56.37774             30
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+#> 10513 VR2AR-546584     -5.604973     56.37774             30
+#> 10514 VR2AR-546131     -5.612700     56.37988             35
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+#> 10517 VR2AR-546131     -5.612700     56.37988             35
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+#> 10520 VR2AR-546131     -5.612700     56.37988             35
+#> 10521 VR2AR-546584     -5.604973     56.37774             30
+#> 10522 VR2AR-546131     -5.612700     56.37988             35
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+#> 10526 VR2AR-546131     -5.612700     56.37988             35
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+#> 10528 VR2AR-546584     -5.604973     56.37774             30
+#> 10529 VR2AR-546131     -5.612700     56.37988             35
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+#> 10531 VR2AR-546131     -5.612700     56.37988             35
+#> 10532 VR2AR-546131     -5.612700     56.37988             35
+#> 10533 VR2AR-546584     -5.604973     56.37774             30
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+#> 10539 VR2AR-546131     -5.612700     56.37988             35
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+#> 10557 VR2AR-546134     -5.643867     56.38278            145
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+#> 10579 VR2AR-546134     -5.643867     56.38278            145
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+#> 10581 VR2AR-546135     -5.657067     56.38803             85
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+#> 10583 VR2AR-546135     -5.657067     56.38803             85
+#> 10584 VR2AR-546380     -5.637917     56.44800             25
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+#> 10586 VR2AR-546380     -5.637917     56.44800             25
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+#> 10588 VR2AR-546380     -5.637917     56.44800             25
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+#> 10590 VR2AR-546380     -5.637917     56.44800             25
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+#> 10592 VR2AR-546380     -5.637917     56.44800             25
+#> 10593 VR2AR-546380     -5.637917     56.44800             25
+#> 10594 VR2AR-546380     -5.637917     56.44800             25
+#> 10595 VR2AR-546380     -5.637917     56.44800             25
+#> 10596 VR2AR-546380     -5.637917     56.44800             25
+#> 10597 VR2AR-546380     -5.637917     56.44800             25
+#> 10598 VR2AR-546380     -5.637917     56.44800             25
+#> 10599 VR2AR-546380     -5.637917     56.44800             25
+#> 10600 VR2AR-546380     -5.637917     56.44800             25
+#> 10601 VR2AR-546380     -5.637917     56.44800             25
+#> 10602 VR2AR-546586     -5.707092     56.49447             20
+#> 10603 VR2AR-546133     -5.701717     56.49747             90
+#> 10604 VR2AR-546133     -5.701717     56.49747             90
+#> 10605 VR2AR-546586     -5.707092     56.49447             20
+#> 10606 VR2AR-546586     -5.707092     56.49447             20
+#> 10607 VR2AR-546586     -5.707092     56.49447             20
+#> 10608 VR2AR-546133     -5.701717     56.49747             90
+#> 10609 VR2AR-546586     -5.707092     56.49447             20
+#> 10610 VR2AR-546586     -5.707092     56.49447             20
+#> 10611 VR2AR-546586     -5.707092     56.49447             20
+#> 10612 VR2AR-546586     -5.707092     56.49447             20
+#> 10613 VR2AR-546133     -5.701717     56.49747             90
+#> 10614 VR2AR-546586     -5.707092     56.49447             20
+#> 10615 VR2AR-546133     -5.701717     56.49747             90
+#> 10616 VR2AR-546586     -5.707092     56.49447             20
+#> 10617 VR2AR-546586     -5.707092     56.49447             20
+#> 10618 VR2AR-546133     -5.701717     56.49747             90
+#> 10619 VR2AR-546586     -5.707092     56.49447             20
+#> 10620 VR2AR-546133     -5.701717     56.49747             90
+#> 10621 VR2AR-546586     -5.707092     56.49447             20
+#> 10622 VR2AR-546586     -5.707092     56.49447             20
+#> 10623 VR2AR-546586     -5.707092     56.49447             20
+#> 10624 VR2AR-546133     -5.701717     56.49747             90
+#> 10625 VR2AR-546586     -5.707092     56.49447             20
+#> 10626 VR2AR-546133     -5.701717     56.49747             90
+#> 10627 VR2AR-546133     -5.701717     56.49747             90
+#> 10628 VR2AR-546133     -5.701717     56.49747             90
+#> 10629 VR2AR-546133     -5.701717     56.49747             90
+#> 10630 VR2AR-546133     -5.701717     56.49747             90
+#> 10631 VR2AR-546133     -5.701717     56.49747             90
+#> 10632 VR2AR-546133     -5.701717     56.49747             90
+#> 10633 VR2AR-546133     -5.701717     56.49747             90
+#> 10634 VR2AR-546586     -5.707092     56.49447             20
+#> 10635 VR2AR-546586     -5.707092     56.49447             20
+#> 10636 VR2AR-546586     -5.707092     56.49447             20
+#> 10637 VR2AR-546133     -5.701717     56.49747             90
+#> 10638 VR2AR-546586     -5.707092     56.49447             20
+#> 10639 VR2AR-546586     -5.707092     56.49447             20
+#> 10640 VR2AR-546133     -5.701717     56.49747             90
+#> 10641 VR2AR-546586     -5.707092     56.49447             20
+#> 10642 VR2AR-546586     -5.707092     56.49447             20
+#> 10643 VR2AR-546586     -5.707092     56.49447             20
+#> 10644 VR2AR-546586     -5.707092     56.49447             20
+#> 10645 VR2AR-546586     -5.707092     56.49447             20
+#> 10646 VR2AR-546133     -5.701717     56.49747             90
+#> 10647 VR2AR-546586     -5.707092     56.49447             20
+#> 10648 VR2AR-546586     -5.707092     56.49447             20
+#> 10649 VR2AR-546586     -5.707092     56.49447             20
+#> 10650 VR2AR-546586     -5.707092     56.49447             20
+#> 10651 VR2AR-546586     -5.707092     56.49447             20
+#> 10652 VR2AR-546586     -5.707092     56.49447             20
+#> 10653 VR2AR-546586     -5.707092     56.49447             20
+#> 10654 VR2AR-546586     -5.707092     56.49447             20
+#> 10655 VR2AR-546586     -5.707092     56.49447             20
+#> 10656 VR2AR-546380     -5.637917     56.44800             25
+#> 10657 VR2AR-546380     -5.637917     56.44800             25
+#> 10658 VR2AR-546380     -5.637917     56.44800             25
+#> 10659 VR2AR-546380     -5.637917     56.44800             25
+#> 10660 VR2AR-546380     -5.637917     56.44800             25
+#> 10661 VR2AR-546380     -5.637917     56.44800             25
+#> 10662 VR2AR-546380     -5.637917     56.44800             25
+#> 10663 VR2AR-546380     -5.637917     56.44800             25
+#> 10664 VR2AR-546380     -5.637917     56.44800             25
+#> 10665 VR2AR-546380     -5.637917     56.44800             25
+#> 10666 VR2AR-546380     -5.637917     56.44800             25
+#> 10667 VR2AR-546380     -5.637917     56.44800             25
+#> 10668 VR2AR-546380     -5.637917     56.44800             25
+#> 10669 VR2AR-546380     -5.637917     56.44800             25
+#> 10670 VR2AR-546380     -5.637917     56.44800             25
+#> 10671 VR2AR-546380     -5.637917     56.44800             25
+#> 10672 VR2AR-546380     -5.637917     56.44800             25
+#> 10673 VR2AR-546380     -5.637917     56.44800             25
+#> 10674 VR2AR-546380     -5.637917     56.44800             25
+#> 10675 VR2AR-546380     -5.637917     56.44800             25
+#> 10676 VR2AR-546380     -5.637917     56.44800             25
+#> 10677 VR2AR-546380     -5.637917     56.44800             25
+#> 10678 VR2AR-546380     -5.637917     56.44800             25
+#> 10679 VR2AR-546380     -5.637917     56.44800             25
+#> 10680 VR2AR-546380     -5.637917     56.44800             25
+#> 10681 VR2AR-546380     -5.637917     56.44800             25
+#> 10682 VR2AR-546134     -5.643867     56.38278            145
+#> 10683 VR2AR-546134     -5.643867     56.38278            145
+#> 10684 VR2AR-546134     -5.643867     56.38278            145
+#> 10685 VR2AR-546134     -5.643867     56.38278            145
+#> 10686 VR2AR-546134     -5.643867     56.38278            145
+#> 10687 VR2AR-546134     -5.643867     56.38278            145
+#> 10688 VR2AR-546134     -5.643867     56.38278            145
+#> 10689 VR2AR-546134     -5.643867     56.38278            145
+#> 10690 VR2AR-546134     -5.643867     56.38278            145
+#> 10691 VR2AR-546134     -5.643867     56.38278            145
+#> 10692 VR2AR-546134     -5.643867     56.38278            145
+#> 10693 VR2AR-546134     -5.643867     56.38278            145
+#> 10694 VR2AR-546134     -5.643867     56.38278            145
+#> 10695 VR2AR-546131     -5.612700     56.37988             35
+#> 10696 VR2AR-546131     -5.612700     56.37988             35
+#> 10697 VR2AR-546131     -5.612700     56.37988             35
+#> 10698 VR2AR-546131     -5.612700     56.37988             35
+#> 10699 VR2AR-546131     -5.612700     56.37988             35
+#> 10700 VR2AR-546131     -5.612700     56.37988             35
+#> 10701 VR2AR-546131     -5.612700     56.37988             35
+#> 10702 VR2AR-546131     -5.612700     56.37988             35
+#> 10703 VR2AR-546131     -5.612700     56.37988             35
+#> 10704 VR2AR-546131     -5.612700     56.37988             35
+#> 10705 VR2AR-546131     -5.612700     56.37988             35
+#> 10706 VR2AR-546131     -5.612700     56.37988             35
+#> 10707 VR2AR-546131     -5.612700     56.37988             35
+#> 10708 VR2AR-546131     -5.612700     56.37988             35
+#> 10709 VR2AR-546131     -5.612700     56.37988             35
+#> 10710 VR2AR-546131     -5.612700     56.37988             35
+#> 10711 VR2AR-546131     -5.612700     56.37988             35
+#> 10712 VR2AR-546131     -5.612700     56.37988             35
+#> 10713 VR2AR-546131     -5.612700     56.37988             35
+#> 10714 VR2AR-546131     -5.612700     56.37988             35
+#> 10715 VR2AR-546131     -5.612700     56.37988             35
+#> 10716 VR2AR-546131     -5.612700     56.37988             35
+#> 10717 VR2AR-546131     -5.612700     56.37988             35
+#> 10718 VR2AR-546131     -5.612700     56.37988             35
+#> 10719 VR2AR-546131     -5.612700     56.37988             35
+#> 10720 VR2AR-546131     -5.612700     56.37988             35
+#> 10721 VR2AR-546131     -5.612700     56.37988             35
+#> 10722 VR2AR-546131     -5.612700     56.37988             35
+#> 10723 VR2AR-546131     -5.612700     56.37988             35
+#> 10724 VR2AR-546131     -5.612700     56.37988             35
+#> 10725 VR2AR-546131     -5.612700     56.37988             35
+#> 10726 VR2AR-546131     -5.612700     56.37988             35
+#> 10727 VR2AR-546131     -5.612700     56.37988             35
+#> 10728 VR2AR-546131     -5.612700     56.37988             35
+#> 10729 VR2AR-546131     -5.612700     56.37988             35
+#> 10730 VR2AR-546131     -5.612700     56.37988             35
+#> 10731 VR2AR-546131     -5.612700     56.37988             35
+#> 10732 VR2AR-546131     -5.612700     56.37988             35
+#> 10733 VR2AR-546131     -5.612700     56.37988             35
+#> 10734 VR2AR-546131     -5.612700     56.37988             35
+#> 10735 VR2AR-546131     -5.612700     56.37988             35
+#> 10736 VR2AR-546131     -5.612700     56.37988             35
+#> 10737 VR2AR-546131     -5.612700     56.37988             35
+#> 10738 VR2AR-546131     -5.612700     56.37988             35
+#> 10739 VR2AR-546131     -5.612700     56.37988             35
+#> 10740 VR2AR-546131     -5.612700     56.37988             35
+#> 10741 VR2AR-546131     -5.612700     56.37988             35
+#> 10742 VR2AR-546131     -5.612700     56.37988             35
+#> 10743 VR2AR-546131     -5.612700     56.37988             35
+#> 10744 VR2AR-546131     -5.612700     56.37988             35
+#> 10745 VR2AR-546131     -5.612700     56.37988             35
+#> 10746 VR2AR-546131     -5.612700     56.37988             35
+#> 10747 VR2AR-546131     -5.612700     56.37988             35
+#> 10748 VR2AR-546131     -5.612700     56.37988             35
+#> 10749 VR2AR-546131     -5.612700     56.37988             35
+#> 10750 VR2AR-546131     -5.612700     56.37988             35
+#> 10751 VR2AR-546131     -5.612700     56.37988             35
+#> 10752 VR2AR-546131     -5.612700     56.37988             35
+#> 10753 VR2AR-546131     -5.612700     56.37988             35
+#> 10754 VR2AR-546131     -5.612700     56.37988             35
+#> 10755 VR2AR-546131     -5.612700     56.37988             35
+#> 10756 VR2AR-546131     -5.612700     56.37988             35
+#> 10757 VR2AR-546131     -5.612700     56.37988             35
+#> 10758 VR2AR-546131     -5.612700     56.37988             35
+#> 10759 VR2AR-546131     -5.612700     56.37988             35
+#> 10760 VR2AR-546131     -5.612700     56.37988             35
+#> 10761 VR2AR-546131     -5.612700     56.37988             35
+#> 10762 VR2AR-546131     -5.612700     56.37988             35
+#> 10763 VR2AR-546131     -5.612700     56.37988             35
+#> 10764 VR2AR-546131     -5.612700     56.37988             35
+#> 10765 VR2AR-546131     -5.612700     56.37988             35
+#> 10766 VR2AR-546131     -5.612700     56.37988             35
+#> 10767 VR2AR-546131     -5.612700     56.37988             35
+#> 10768 VR2AR-546131     -5.612700     56.37988             35
+#> 10769 VR2AR-546131     -5.612700     56.37988             35
+#> 10770 VR2AR-546131     -5.612700     56.37988             35
+#> 10771 VR2AR-546131     -5.612700     56.37988             35
+#> 10772 VR2AR-546131     -5.612700     56.37988             35
+#> 10773 VR2AR-546131     -5.612700     56.37988             35
+#> 10774 VR2AR-546131     -5.612700     56.37988             35
+#> 10775 VR2AR-546131     -5.612700     56.37988             35
+#> 10776 VR2AR-546131     -5.612700     56.37988             35
+#> 10777 VR2AR-546131     -5.612700     56.37988             35
+#> 10778 VR2AR-546131     -5.612700     56.37988             35
+#> 10779 VR2AR-546131     -5.612700     56.37988             35
+#> 10780 VR2AR-546131     -5.612700     56.37988             35
+#> 10781 VR2AR-546131     -5.612700     56.37988             35
+#> 10782 VR2AR-546131     -5.612700     56.37988             35
+#> 10783 VR2AR-546131     -5.612700     56.37988             35
+#> 10784 VR2AR-546131     -5.612700     56.37988             35
+#> 10785 VR2AR-546131     -5.612700     56.37988             35
+#> 10786 VR2AR-546131     -5.612700     56.37988             35
+#> 10787 VR2AR-546131     -5.612700     56.37988             35
+#> 10788 VR2AR-546131     -5.612700     56.37988             35
+#> 10789 VR2AR-546131     -5.612700     56.37988             35
+#> 10790 VR2AR-546131     -5.612700     56.37988             35
+#> 10791 VR2AR-546131     -5.612700     56.37988             35
+#> 10792 VR2AR-546131     -5.612700     56.37988             35
+#> 10793 VR2AR-546131     -5.612700     56.37988             35
+#> 10794 VR2AR-546131     -5.612700     56.37988             35
+#> 10795 VR2AR-546131     -5.612700     56.37988             35
+#> 10796 VR2AR-546131     -5.612700     56.37988             35
+#> 10797 VR2AR-546131     -5.612700     56.37988             35
+#> 10798 VR2AR-546131     -5.612700     56.37988             35
+#> 10799 VR2AR-546131     -5.612700     56.37988             35
+#> 10800 VR2AR-546131     -5.612700     56.37988             35
+#> 10801 VR2AR-546131     -5.612700     56.37988             35
+#> 10802 VR2AR-546131     -5.612700     56.37988             35
+#> 10803 VR2AR-546131     -5.612700     56.37988             35
+#> 10804 VR2AR-546131     -5.612700     56.37988             35
+#> 10805 VR2AR-546131     -5.612700     56.37988             35
+#> 10806 VR2AR-546131     -5.612700     56.37988             35
+#> 10807 VR2AR-546131     -5.612700     56.37988             35
+#> 10808 VR2AR-546584     -5.604973     56.37774             30
+#> 10809 VR2AR-546131     -5.612700     56.37988             35
+#> 10810 VR2AR-546131     -5.612700     56.37988             35
+#> 10811 VR2AR-546131     -5.612700     56.37988             35
+#> 10812 VR2AR-546584     -5.604973     56.37774             30
+#> 10813 VR2AR-546584     -5.604973     56.37774             30
+#> 10814 VR2AR-546131     -5.612700     56.37988             35
+#> 10815 VR2AR-546131     -5.612700     56.37988             35
+#> 10816 VR2AR-546584     -5.604973     56.37774             30
+#> 10817 VR2AR-546584     -5.604973     56.37774             30
+#> 10818 VR2AR-546584     -5.604973     56.37774             30
+#> 10819 VR2AR-546131     -5.612700     56.37988             35
+#> 10820 VR2AR-546584     -5.604973     56.37774             30
+#> 10821 VR2AR-546584     -5.604973     56.37774             30
+#> 10822 VR2AR-546584     -5.604973     56.37774             30
+#> 10823 VR2AR-546584     -5.604973     56.37774             30
+#> 10824 VR2AR-546584     -5.604973     56.37774             30
+#> 10825 VR2AR-546584     -5.604973     56.37774             30
+#> 10826 VR2AR-546584     -5.604973     56.37774             30
+#> 10827 VR2AR-546584     -5.604973     56.37774             30
+#> 10828 VR2AR-546131     -5.612700     56.37988             35
+#> 10829 VR2AR-546131     -5.612700     56.37988             35
+#> 10830 VR2AR-546584     -5.604973     56.37774             30
+#> 10831 VR2AR-546131     -5.612700     56.37988             35
+#> 10832 VR2AR-546131     -5.612700     56.37988             35
+#> 10833 VR2AR-546131     -5.612700     56.37988             35
+#> 10834 VR2AR-546131     -5.612700     56.37988             35
+#> 10835 VR2AR-546131     -5.612700     56.37988             35
+#> 10836 VR2AR-546131     -5.612700     56.37988             35
+#> 10837 VR2AR-546131     -5.612700     56.37988             35
+#> 10838 VR2AR-546584     -5.604973     56.37774             30
+#> 10839 VR2AR-546131     -5.612700     56.37988             35
+#> 10840 VR2AR-546584     -5.604973     56.37774             30
+#> 10841 VR2AR-546131     -5.612700     56.37988             35
+#> 10842 VR2AR-546131     -5.612700     56.37988             35
+#> 10843 VR2AR-546584     -5.604973     56.37774             30
+#> 10844 VR2AR-546584     -5.604973     56.37774             30
+#> 10845 VR2AR-546131     -5.612700     56.37988             35
+#> 10846 VR2AR-546584     -5.604973     56.37774             30
+#> 10847 VR2AR-546131     -5.612700     56.37988             35
+#> 10848 VR2AR-546131     -5.612700     56.37988             35
+#> 10849 VR2AR-546131     -5.612700     56.37988             35
+#> 10850 VR2AR-546584     -5.604973     56.37774             30
+#> 10851 VR2AR-546131     -5.612700     56.37988             35
+#> 10852 VR2AR-546131     -5.612700     56.37988             35
+#> 10853 VR2AR-546131     -5.612700     56.37988             35
+#> 10854 VR2AR-546131     -5.612700     56.37988             35
+#> 10855 VR2AR-546131     -5.612700     56.37988             35
+#> 10856 VR2AR-546131     -5.612700     56.37988             35
+#> 10857 VR2AR-546131     -5.612700     56.37988             35
+#> 10858 VR2AR-546131     -5.612700     56.37988             35
+#> 10859 VR2AR-546131     -5.612700     56.37988             35
+#> 10860 VR2AR-546131     -5.612700     56.37988             35
+#> 10861 VR2AR-546584     -5.604973     56.37774             30
+#> 10862 VR2AR-546131     -5.612700     56.37988             35
+#> 10863 VR2AR-546584     -5.604973     56.37774             30
+#> 10864 VR2AR-546131     -5.612700     56.37988             35
+#> 10865 VR2AR-546131     -5.612700     56.37988             35
+#> 10866 VR2AR-546131     -5.612700     56.37988             35
+#> 10867 VR2AR-546131     -5.612700     56.37988             35
+#> 10868 VR2AR-546131     -5.612700     56.37988             35
+#> 10869 VR2AR-546131     -5.612700     56.37988             35
+#> 10870 VR2AR-546131     -5.612700     56.37988             35
+#> 10871 VR2AR-546131     -5.612700     56.37988             35
+#> 10872 VR2AR-546131     -5.612700     56.37988             35
+#> 10873 VR2AR-546131     -5.612700     56.37988             35
+#> 10874 VR2AR-546131     -5.612700     56.37988             35
+#> 10875 VR2AR-546131     -5.612700     56.37988             35
+#> 10876 VR2AR-546131     -5.612700     56.37988             35
+#> 10877 VR2AR-546584     -5.604973     56.37774             30
+#> 10878 VR2AR-546131     -5.612700     56.37988             35
+#> 10879 VR2AR-546584     -5.604973     56.37774             30
+#> 10880 VR2AR-546131     -5.612700     56.37988             35
+#> 10881 VR2AR-546131     -5.612700     56.37988             35
+#> 10882 VR2AR-546131     -5.612700     56.37988             35
+#> 10883 VR2AR-546584     -5.604973     56.37774             30
+#> 10884 VR2AR-546131     -5.612700     56.37988             35
+#> 10885 VR2AR-546131     -5.612700     56.37988             35
+#> 10886 VR2AR-546584     -5.604973     56.37774             30
+#> 10887 VR2AR-546584     -5.604973     56.37774             30
+#> 10888 VR2AR-546131     -5.612700     56.37988             35
+#> 10889 VR2AR-546131     -5.612700     56.37988             35
+#> 10890 VR2AR-546131     -5.612700     56.37988             35
+#> 10891 VR2AR-546131     -5.612700     56.37988             35
+#> 10892 VR2AR-546131     -5.612700     56.37988             35
+#> 10893 VR2AR-546131     -5.612700     56.37988             35
+#> 10894 VR2AR-546131     -5.612700     56.37988             35
+#> 10895 VR2AR-546131     -5.612700     56.37988             35
+#> 10896 VR2AR-546131     -5.612700     56.37988             35
+#> 10897 VR2AR-546131     -5.612700     56.37988             35
+#> 10898 VR2AR-546131     -5.612700     56.37988             35
+#> 10899 VR2AR-546131     -5.612700     56.37988             35
+#> 10900 VR2AR-546131     -5.612700     56.37988             35
+#> 10901 VR2AR-546585     -5.623995     56.37436             75
+#> 10902 VR2AR-546585     -5.623995     56.37436             75
+#> 10903 VR2AR-546585     -5.623995     56.37436             75
+#> 10904  VR2W-108160     -5.631733     56.37447             50
+#> 10905 VR2AR-546585     -5.623995     56.37436             75
+#> 10906  VR2W-108160     -5.631733     56.37447             50
+#> 10907 VR2AR-546585     -5.623995     56.37436             75
+#> 10908  VR2W-108160     -5.631733     56.37447             50
+#> 10909 VR2AR-546585     -5.623995     56.37436             75
+#> 10910 VR2AR-546585     -5.623995     56.37436             75
+#> 10911 VR2AR-546585     -5.623995     56.37436             75
+#> 10912 VR2AR-546585     -5.623995     56.37436             75
+#> 10913 VR2AR-546585     -5.623995     56.37436             75
+#> 10914  VR2W-108160     -5.631733     56.37447             50
+#> 10915 VR2AR-546585     -5.623995     56.37436             75
+#> 10916  VR2W-108160     -5.631733     56.37447             50
+#> 10917 VR2AR-546585     -5.623995     56.37436             75
+#> 10918  VR2W-108160     -5.631733     56.37447             50
+#> 10919  VR2W-108160     -5.631733     56.37447             50
+#> 10920  VR2W-108160     -5.631733     56.37447             50
+#> 10921 VR2AR-546134     -5.643867     56.38278            145
+#> 10922 VR2AR-546134     -5.643867     56.38278            145
+#> 10923 VR2AR-546134     -5.643867     56.38278            145
+#> 10924 VR2AR-546134     -5.643867     56.38278            145
+#> 10925 VR2AR-546134     -5.643867     56.38278            145
+#> 10926 VR2AR-546134     -5.643867     56.38278            145
+#> 10927 VR2AR-546134     -5.643867     56.38278            145
+#> 10928 VR2AR-546134     -5.643867     56.38278            145
+#> 10929 VR2AR-546134     -5.643867     56.38278            145
+#> 10930 VR2AR-546134     -5.643867     56.38278            145
+#> 10931 VR2AR-546134     -5.643867     56.38278            145
+#> 10932 VR2AR-546134     -5.643867     56.38278            145
+#> 10933 VR2AR-546134     -5.643867     56.38278            145
+#> 10934 VR2AR-546134     -5.643867     56.38278            145
+#> 10935 VR2AR-546134     -5.643867     56.38278            145
+#> 10936 VR2AR-546135     -5.657067     56.38803             85
+#> 10937 VR2AR-546135     -5.657067     56.38803             85
+#> 10938 VR2AR-546135     -5.657067     56.38803             85
+#> 10939 VR2AR-546135     -5.657067     56.38803             85
+#> 10940 VR2AR-546135     -5.657067     56.38803             85
+#> 10941 VR2AR-546135     -5.657067     56.38803             85
+#> 10942 VR2AR-546135     -5.657067     56.38803             85
+#> 10943 VR2AR-546135     -5.657067     56.38803             85
+#> 10944 VR2AR-546135     -5.657067     56.38803             85
+#> 10945 VR2AR-546135     -5.657067     56.38803             85
+#> 10946 VR2AR-546135     -5.657067     56.38803             85
+#> 10947 VR2AR-546135     -5.657067     56.38803             85
+#> 10948 VR2AR-546135     -5.657067     56.38803             85
+#> 10949 VR2AR-546135     -5.657067     56.38803             85
+#> 10950 VR2AR-546135     -5.657067     56.38803             85
+#> 10951 VR2AR-546135     -5.657067     56.38803             85
+#> 10952 VR2AR-546135     -5.657067     56.38803             85
+#> 10953 VR2AR-546380     -5.637917     56.44800             25
+#> 10954 VR2AR-546380     -5.637917     56.44800             25
+#> 10955 VR2AR-546380     -5.637917     56.44800             25
+#> 10956 VR2AR-546380     -5.637917     56.44800             25
+#> 10957 VR2AR-546380     -5.637917     56.44800             25
+#> 10958 VR2AR-546380     -5.637917     56.44800             25
+#> 10959 VR2AR-546380     -5.637917     56.44800             25
+#> 10960 VR2AR-546380     -5.637917     56.44800             25
+#> 10961 VR2AR-546380     -5.637917     56.44800             25
+#> 10962 VR2AR-546380     -5.637917     56.44800             25
+#> 10963 VR2AR-546380     -5.637917     56.44800             25
+#> 10964 VR2AR-546380     -5.637917     56.44800             25
+#> 10965 VR2AR-546380     -5.637917     56.44800             25
+#> 10966 VR2AR-546380     -5.637917     56.44800             25
+#> 10967 VR2AR-546380     -5.637917     56.44800             25
+#> 10968 VR2AR-546380     -5.637917     56.44800             25
+#> 10969 VR2AR-546380     -5.637917     56.44800             25
+#> 10970 VR2AR-546380     -5.637917     56.44800             25
+#> 10971 VR2AR-546380     -5.637917     56.44800             25
+#> 10972 VR2AR-546380     -5.637917     56.44800             25
+#> 10973 VR2AR-546380     -5.637917     56.44800             25
+#> 10974 VR2AR-546380     -5.637917     56.44800             25
+#> 10975 VR2AR-546380     -5.637917     56.44800             25
+#> 10976 VR2AR-546380     -5.637917     56.44800             25
+#> 10977 VR2AR-546380     -5.637917     56.44800             25
+#> 10978 VR2AR-546380     -5.637917     56.44800             25
+#> 10979 VR2AR-546380     -5.637917     56.44800             25
+#> 10980 VR2AR-546380     -5.637917     56.44800             25
+#> 10981 VR2AR-546380     -5.637917     56.44800             25
+#> 10982 VR2AR-546380     -5.637917     56.44800             25
+#> 10983 VR2AR-546131     -5.612700     56.37988             35
+#> 10984 VR2AR-546131     -5.612700     56.37988             35
+#> 10985 VR2AR-546131     -5.612700     56.37988             35
+#> 10986 VR2AR-546131     -5.612700     56.37988             35
+#> 10987 VR2AR-546131     -5.612700     56.37988             35
+#> 10988 VR2AR-546131     -5.612700     56.37988             35
+#> 10989 VR2AR-546131     -5.612700     56.37988             35
+#> 10990 VR2AR-546131     -5.612700     56.37988             35
+#> 10991 VR2AR-546131     -5.612700     56.37988             35
+#> 10992 VR2AR-546131     -5.612700     56.37988             35
+#> 10993 VR2AR-546131     -5.612700     56.37988             35
+#> 10994 VR2AR-546131     -5.612700     56.37988             35
+#> 10995 VR2AR-546584     -5.604973     56.37774             30
+#> 10996 VR2AR-546131     -5.612700     56.37988             35
+#> 10997 VR2AR-546131     -5.612700     56.37988             35
+#> 10998 VR2AR-546584     -5.604973     56.37774             30
+#> 10999 VR2AR-546131     -5.612700     56.37988             35
+#> 11000 VR2AR-546131     -5.612700     56.37988             35
+#> 11001 VR2AR-546131     -5.612700     56.37988             35
+#> 11002 VR2AR-546584     -5.604973     56.37774             30
+#> 11003 VR2AR-546131     -5.612700     56.37988             35
+#> 11004 VR2AR-546584     -5.604973     56.37774             30
+#> 11005 VR2AR-546131     -5.612700     56.37988             35
+#> 11006 VR2AR-546131     -5.612700     56.37988             35
+#> 11007 VR2AR-546131     -5.612700     56.37988             35
+#> 11008 VR2AR-546131     -5.612700     56.37988             35
+#> 11009 VR2AR-546131     -5.612700     56.37988             35
+#> 11010 VR2AR-546131     -5.612700     56.37988             35
+#> 11011 VR2AR-546131     -5.612700     56.37988             35
+#> 11012 VR2AR-546131     -5.612700     56.37988             35
+#> 11013 VR2AR-546131     -5.612700     56.37988             35
+#> 11014 VR2AR-546131     -5.612700     56.37988             35
+#> 11015 VR2AR-546131     -5.612700     56.37988             35
+#> 11016 VR2AR-546131     -5.612700     56.37988             35
+#> 11017 VR2AR-546131     -5.612700     56.37988             35
+#> 11018 VR2AR-546131     -5.612700     56.37988             35
+#> 11019 VR2AR-546131     -5.612700     56.37988             35
+#> 11020 VR2AR-546131     -5.612700     56.37988             35
+#> 11021 VR2AR-546131     -5.612700     56.37988             35
+#> 11022 VR2AR-546131     -5.612700     56.37988             35
+#> 11023 VR2AR-546131     -5.612700     56.37988             35
+#> 11024 VR2AR-546131     -5.612700     56.37988             35
+#> 11025 VR2AR-546131     -5.612700     56.37988             35
+#> 11026 VR2AR-546131     -5.612700     56.37988             35
+#> 11027 VR2AR-546131     -5.612700     56.37988             35
+#> 11028 VR2AR-546131     -5.612700     56.37988             35
+#> 11029 VR2AR-546131     -5.612700     56.37988             35
+#> 11030 VR2AR-546131     -5.612700     56.37988             35
+#> 11031 VR2AR-546131     -5.612700     56.37988             35
+#> 11032 VR2AR-546131     -5.612700     56.37988             35
+#> 11033 VR2AR-546131     -5.612700     56.37988             35
+#> 11034 VR2AR-546131     -5.612700     56.37988             35
+#> 11035 VR2AR-546131     -5.612700     56.37988             35
+#> 11036 VR2AR-546131     -5.612700     56.37988             35
+#> 11037 VR2AR-546131     -5.612700     56.37988             35
+#> 11038 VR2AR-546131     -5.612700     56.37988             35
+#> 11039 VR2AR-546131     -5.612700     56.37988             35
+#> 11040 VR2AR-546131     -5.612700     56.37988             35
+#> 11041 VR2AR-546131     -5.612700     56.37988             35
+#> 11042 VR2AR-546131     -5.612700     56.37988             35
+#> 11043 VR2AR-546131     -5.612700     56.37988             35
+#> 11044 VR2AR-546131     -5.612700     56.37988             35
+#> 11045 VR2AR-546131     -5.612700     56.37988             35
+#> 11046 VR2AR-546131     -5.612700     56.37988             35
+#> 11047 VR2AR-546131     -5.612700     56.37988             35
+#> 11048 VR2AR-546131     -5.612700     56.37988             35
+#> 11049 VR2AR-546131     -5.612700     56.37988             35
+#> 11050 VR2AR-546131     -5.612700     56.37988             35
+#> 11051 VR2AR-546131     -5.612700     56.37988             35
+#> 11052 VR2AR-546131     -5.612700     56.37988             35
+#> 11053 VR2AR-546131     -5.612700     56.37988             35
+#> 11054 VR2AR-546131     -5.612700     56.37988             35
+#> 11055 VR2AR-546131     -5.612700     56.37988             35
+#> 11056 VR2AR-546131     -5.612700     56.37988             35
+#> 11057 VR2AR-546131     -5.612700     56.37988             35
+#> 11058 VR2AR-546131     -5.612700     56.37988             35
+#> 11059 VR2AR-546131     -5.612700     56.37988             35
+#> 11060 VR2AR-546131     -5.612700     56.37988             35
+#> 11061 VR2AR-546131     -5.612700     56.37988             35
+#> 11062 VR2AR-546131     -5.612700     56.37988             35
+#> 11063 VR2AR-546131     -5.612700     56.37988             35
+#> 11064 VR2AR-546131     -5.612700     56.37988             35
+#> 11065 VR2AR-546131     -5.612700     56.37988             35
+#> 11066 VR2AR-546131     -5.612700     56.37988             35
+#> 11067 VR2AR-546131     -5.612700     56.37988             35
+#> 11068 VR2AR-546131     -5.612700     56.37988             35
+#> 11069 VR2AR-546131     -5.612700     56.37988             35
+#> 11070 VR2AR-546131     -5.612700     56.37988             35
+#> 11071 VR2AR-546131     -5.612700     56.37988             35
+#> 11072 VR2AR-546131     -5.612700     56.37988             35
+#> 11073 VR2AR-546131     -5.612700     56.37988             35
+#> 11074 VR2AR-546131     -5.612700     56.37988             35
+#> 11075 VR2AR-546131     -5.612700     56.37988             35
+#> 11076 VR2AR-546131     -5.612700     56.37988             35
+#> 11077 VR2AR-546131     -5.612700     56.37988             35
+#> 11078 VR2AR-546131     -5.612700     56.37988             35
+#> 11079 VR2AR-546131     -5.612700     56.37988             35
+#> 11080 VR2AR-546131     -5.612700     56.37988             35
+#> 11081 VR2AR-546131     -5.612700     56.37988             35
+#> 11082 VR2AR-546131     -5.612700     56.37988             35
+#> 11083 VR2AR-546131     -5.612700     56.37988             35
+#> 11084 VR2AR-546131     -5.612700     56.37988             35
+#> 11085 VR2AR-546131     -5.612700     56.37988             35
+#> 11086 VR2AR-546131     -5.612700     56.37988             35
+#> 11087 VR2AR-546131     -5.612700     56.37988             35
+#> 11088 VR2AR-546131     -5.612700     56.37988             35
+#> 11089 VR2AR-546131     -5.612700     56.37988             35
+#> 11090 VR2AR-546131     -5.612700     56.37988             35
+#> 11091 VR2AR-546131     -5.612700     56.37988             35
+#> 11092 VR2AR-546584     -5.604973     56.37774             30
+#> 11093 VR2AR-546131     -5.612700     56.37988             35
+#> 11094 VR2AR-546131     -5.612700     56.37988             35
+#> 11095 VR2AR-546131     -5.612700     56.37988             35
+#> 11096 VR2AR-546584     -5.604973     56.37774             30
+#> 11097 VR2AR-546131     -5.612700     56.37988             35
+#> 11098 VR2AR-546131     -5.612700     56.37988             35
+#> 11099 VR2AR-546584     -5.604973     56.37774             30
+#> 11100 VR2AR-546584     -5.604973     56.37774             30
+#> 11101 VR2AR-546131     -5.612700     56.37988             35
+#> 11102 VR2AR-546584     -5.604973     56.37774             30
+#> 11103 VR2AR-546584     -5.604973     56.37774             30
+#> 11104 VR2AR-546131     -5.612700     56.37988             35
+#> 11105 VR2AR-546584     -5.604973     56.37774             30
+#> 11106 VR2AR-546584     -5.604973     56.37774             30
+#> 11107 VR2AR-546131     -5.612700     56.37988             35
+#> 11108 VR2AR-546131     -5.612700     56.37988             35
+#> 11109 VR2AR-546131     -5.612700     56.37988             35
+#> 11110 VR2AR-546584     -5.604973     56.37774             30
+#> 11111 VR2AR-546131     -5.612700     56.37988             35
+#>  [ reached 'max' / getOption("max.print") -- omitted 1897 rows ]
+#> 
+#> [[1]]$args$delta_t
+#> [1] "6 hours"
+#> 
+#> 
+#> 
+#> [[2]]
+#> [[2]]$data
+#> [[2]]$data$m1_i1
+#> NULL
+#> 
+#> [[2]]$data$m1_i2
+#>    pc_receiver_with_detections   pc_of_ts
+#> 1                     0.000000 59.9773243
+#> 2                     4.347826  6.4625850
+#> 3                     4.545455  2.8344671
+#> 4                     4.761905  0.3401361
+#> 5                     5.000000  3.9682540
+#> 6                     5.555556  6.2358277
+#> 7                     5.882353  5.7823129
+#> 8                     6.250000  0.9070295
+#> 9                     7.142857  1.0204082
+#> 10                    8.333333  0.3401361
+#> 11                    8.695652  1.1337868
+#> 12                    9.090909  0.4535147
+#> 13                   10.000000  3.0612245
+#> 14                   11.111111  1.2471655
+#> 15                   11.764706  2.6077098
+#> 16                   12.500000  0.1133787
+#> 17                   14.285714  0.6802721
+#> 18                   15.000000  0.7936508
+#> 19                   16.666667  0.5668934
+#> 20                   17.647059  0.3401361
+#> 21                   18.750000  0.2267574
+#> 22                   20.000000  0.5668934
+#> 23                   23.529412  0.1133787
+#> 24                   25.000000  0.1133787
+#> 25                   30.000000  0.1133787
+#> 26                   35.000000  0.1133787
+#> 
+#> [[2]]$data$m2_i1
+#> NULL
+#> 
+#> [[2]]$data$m2_i2
+#>     pc_detections_per_receiver   pc_of_ts
+#> 1                   0.00000000 59.8639456
+#> 2                   0.04347826  0.2267574
+#> 3                   0.05555556  0.1133787
+#> 4                   0.05882353  0.1133787
+#> 5                   0.08695652  0.1133787
+#> 6                   0.09090909  0.3401361
+#> 7                   0.10000000  0.7936508
+#> 8                   0.11111111  0.4535147
+#> 9                   0.11764706  0.3401361
+#> 10                  0.12500000  0.1133787
+#> 11                  0.13043478  0.4535147
+#> 12                  0.13636364  0.2267574
+#> 13                  0.16666667  0.3401361
+#> 14                  0.17391304  0.3401361
+#> 15                  0.17647059  0.3401361
+#> 16                  0.18181818  0.1133787
+#> 17                  0.19047619  0.1133787
+#> 18                  0.21739130  0.3401361
+#> 19                  0.22222222  0.1133787
+#> 20                  0.22727273  0.2267574
+#> 21                  0.23529412  0.2267574
+#> 22                  0.25000000  0.1133787
+#> 23                  0.26086957  0.1133787
+#> 24                  0.27272727  0.2267574
+#> 25                  0.27777778  0.4535147
+#> 26                  0.29411765  0.2267574
+#> 27                  0.30000000  0.5668934
+#> 28                  0.30434783  0.2267574
+#> 29                  0.31818182  0.2267574
+#> 30                  0.33333333  0.2267574
+#> 31                  0.34782609  0.3401361
+#> 32                  0.35000000  0.1133787
+#> 33                  0.35294118  0.4535147
+#> 34                  0.37500000  0.1133787
+#> 35                  0.39130435  0.1133787
+#> 36                  0.40000000  0.1133787
+#> 37                  0.40909091  0.2267574
+#> 38                  0.41176471  0.3401361
+#> 39                  0.41666667  0.1133787
+#> 40                  0.42857143  0.2267574
+#> 41                  0.43750000  0.1133787
+#> 42                  0.44444444  0.5668934
+#> 43                  0.45000000  0.2267574
+#> 44                  0.45454545  0.1133787
+#> 45                  0.47058824  0.3401361
+#> 46                  0.50000000  0.6802721
+#> 47                  0.52173913  0.3401361
+#> 48                  0.52941176  0.4535147
+#> 49                  0.55000000  0.2267574
+#> 50                  0.55555556  0.2267574
+#> 51                  0.56521739  0.1133787
+#> 52                  0.59090909  0.3401361
+#> 53                  0.60000000  0.2267574
+#> 54                  0.60869565  0.1133787
+#> 55                  0.61111111  0.2267574
+#> 56                  0.62500000  0.1133787
+#> 57                  0.64705882  0.1133787
+#> 58                  0.65000000  0.2267574
+#> 59                  0.65217391  0.4535147
+#> 60                  0.66666667  0.1133787
+#> 61                  0.69565217  0.1133787
+#> 62                  0.70000000  0.1133787
+#> 63                  0.70588235  0.2267574
+#> 64                  0.73913043  0.2267574
+#> 65                  0.75000000  0.1133787
+#> 66                  0.77272727  0.2267574
+#> 67                  0.78260870  0.3401361
+#> 68                  0.78571429  0.2267574
+#> 69                  0.80000000  0.1133787
+#> 70                  0.82352941  0.3401361
+#> 71                  0.82608696  0.3401361
+#> 72                  0.83333333  0.1133787
+#> 73                  0.85714286  0.1133787
+#> 74                  0.86956522  0.3401361
+#> 75                  0.87500000  0.1133787
+#> 76                  0.90000000  0.1133787
+#> 77                  0.91304348  0.2267574
+#> 78                  0.91666667  0.1133787
+#> 79                  0.94444444  0.2267574
+#> 80                  0.95454545  0.1133787
+#> 81                  1.00000000  0.4535147
+#> 82                  1.04347826  0.4535147
+#> 83                  1.04545455  0.1133787
+#> 84                  1.05000000  0.1133787
+#> 85                  1.05555556  0.2267574
+#> 86                  1.06250000  0.1133787
+#> 87                  1.10000000  0.3401361
+#> 88                  1.11764706  0.1133787
+#> 89                  1.15000000  0.1133787
+#> 90                  1.17391304  0.1133787
+#> 91                  1.17647059  0.3401361
+#> 92                  1.20000000  0.1133787
+#> 93                  1.22222222  0.1133787
+#> 94                  1.23529412  0.1133787
+#> 95                  1.25000000  0.1133787
+#> 96                  1.26086957  0.2267574
+#> 97                  1.27777778  0.1133787
+#> 98                  1.29411765  0.1133787
+#> 99                  1.30000000  0.1133787
+#> 100                 1.30434783  0.1133787
+#> 101                 1.33333333  0.3401361
+#> 102                 1.34782609  0.1133787
+#> 103                 1.35294118  0.2267574
+#> 104                 1.38888889  0.2267574
+#> 105                 1.39130435  0.1133787
+#> 106                 1.41176471  0.1133787
+#> 107                 1.44444444  0.1133787
+#> 108                 1.47058824  0.2267574
+#> 109                 1.47826087  0.1133787
+#> 110                 1.50000000  0.1133787
+#> 111                 1.52173913  0.2267574
+#> 112                 1.52941176  0.1133787
+#> 113                 1.55555556  0.1133787
+#> 114                 1.56521739  0.1133787
+#> 115                 1.58823529  0.2267574
+#> 116                 1.60000000  0.1133787
+#> 117                 1.60869565  0.2267574
+#> 118                 1.61111111  0.1133787
+#> 119                 1.64285714  0.1133787
+#> 120                 1.65000000  0.1133787
+#> 121                 1.66666667  0.1133787
+#> 122                 1.69565217  0.1133787
+#> 123                 1.70588235  0.3401361
+#> 124                 1.75000000  0.2267574
+#> 125                 1.76470588  0.1133787
+#> 126                 1.80000000  0.1133787
+#> 127                 1.83333333  0.1133787
+#> 128                 1.86363636  0.1133787
+#> 129                 1.90000000  0.1133787
+#> 130                 1.92857143  0.2267574
+#> 131                 1.94444444  0.1133787
+#> 132                 1.95454545  0.1133787
+#> 133                 2.04545455  0.1133787
+#> 134                 2.05000000  0.2267574
+#> 135                 2.06250000  0.1133787
+#> 136                 2.10000000  0.1133787
+#> 137                 2.11764706  0.1133787
+#> 138                 2.14285714  0.1133787
+#> 139                 2.15000000  0.1133787
+#> 140                 2.16666667  0.1133787
+#> 141                 2.20000000  0.1133787
+#> 142                 2.21739130  0.1133787
+#> 143                 2.27272727  0.1133787
+#> 144                 2.27777778  0.1133787
+#> 145                 2.29411765  0.2267574
+#> 146                 2.33333333  0.1133787
+#> 147                 2.35000000  0.2267574
+#> 148                 2.35294118  0.1133787
+#> 149                 2.38888889  0.1133787
+#> 150                 2.40000000  0.1133787
+#> 151                 2.44444444  0.1133787
+#> 152                 2.45000000  0.1133787
+#> 153                 2.45454545  0.1133787
+#> 154                 2.47058824  0.1133787
+#> 155                 2.50000000  0.1133787
+#> 156                 2.55555556  0.1133787
+#> 157                 2.58823529  0.2267574
+#> 158                 2.60869565  0.1133787
+#> 159                 2.65217391  0.1133787
+#> 160                 2.68750000  0.1133787
+#> 161                 2.70588235  0.1133787
+#> 162                 2.76470588  0.1133787
+#> 163                 2.83333333  0.1133787
+#> 164                 2.86363636  0.1133787
+#> 165                 2.88888889  0.1133787
+#> 166                 2.94444444  0.1133787
+#> 167                 3.00000000  0.1133787
+#> 168                 3.05555556  0.1133787
+#> 169                 3.11111111  0.1133787
+#> 170                 3.11764706  0.1133787
+#> 171                 3.14285714  0.1133787
+#> 172                 3.15000000  0.1133787
+#> 173                 3.17647059  0.1133787
+#> 174                 3.26086957  0.1133787
+#> 175                 3.27777778  0.2267574
+#> 176                 3.30000000  0.1133787
+#> 177                 3.34782609  0.1133787
+#> 178                 3.35000000  0.2267574
+#> 179                 3.35294118  0.1133787
+#> 180                 3.38095238  0.1133787
+#> 181                 3.45000000  0.1133787
+#> 182                 3.47058824  0.1133787
+#> 183                 3.50000000  0.1133787
+#> 184                 3.66666667  0.1133787
+#> 185                 3.72222222  0.1133787
+#> 186                 3.76470588  0.2267574
+#> 187                 3.77777778  0.1133787
+#> 188                 3.78571429  0.1133787
+#> 189                 3.88235294  0.1133787
+#> 190                 3.90000000  0.1133787
+#> 191                 4.00000000  0.1133787
+#> 192                 4.05000000  0.1133787
+#> 193                 4.05555556  0.1133787
+#> 194                 4.05882353  0.1133787
+#> 195                 4.29411765  0.1133787
+#> 196                 4.43750000  0.1133787
+#> 197                 4.52941176  0.2267574
+#> 198                 4.55555556  0.1133787
+#> 199                 4.64285714  0.1133787
+#> 200                 4.77777778  0.1133787
+#> 201                 5.05000000  0.1133787
+#> 202                 5.41176471  0.1133787
+#> 203                 5.60000000  0.1133787
+#> 204                 5.66666667  0.1133787
+#> 205                 5.70588235  0.1133787
+#> 206                 5.90000000  0.1133787
+#> 207                 6.00000000  0.1133787
+#> 208                 6.17391304  0.1133787
+#> 209                 6.30000000  0.1133787
+#> 210                 6.39130435  0.1133787
+#> 211                 6.45000000  0.1133787
+#> 212                 6.80000000  0.1133787
+#> 213                 6.85714286  0.1133787
+#> 214                 7.00000000  0.1133787
+#> 215                 7.78571429  0.1133787
+#> 216                 8.29411765  0.1133787
+#> 217                 8.30000000  0.1133787
+#> 218                 8.44444444  0.1133787
+#> 219                 8.58823529  0.1133787
+#> 220                 8.90000000  0.1133787
+#> 221                 9.05000000  0.1133787
+#> 222                 9.16666667  0.1133787
+#> 223                 9.28571429  0.1133787
+#> 224                 9.64705882  0.1133787
+#> 225                 9.75000000  0.1133787
+#> 226                 9.95000000  0.1133787
+#> 227                10.05555556  0.1133787
+#> 228                10.18750000  0.1133787
+#> 229                11.66666667  0.1133787
+#> 230                12.95000000  0.1133787
+#> 231                15.06250000  0.1133787
+#> 232                15.61111111  0.1133787
+#> 233                17.90000000  0.1133787
+#> 
+#> 
+#> [[2]]$args
+#> [[2]]$args$acoustics
+#>       individual_id transmitter_id index           timestamp receiver_id
+#> 1                25   A69-1303-555     1 2016-03-17 01:50:00          26
+#> 2                25   A69-1303-555     2 2016-03-17 01:52:00          26
+#> 3                25   A69-1303-555     4 2016-03-17 01:54:00          26
+#> 4                25   A69-1303-555     5 2016-03-17 01:58:00          26
+#> 5                25   A69-1303-555     7 2016-03-17 02:00:00          26
+#> 6                25   A69-1303-555     8 2016-03-17 02:04:00          26
+#> 7                25   A69-1303-555     9 2016-03-17 02:06:00          26
+#> 8                25   A69-1303-555    10 2016-03-17 02:08:00          26
+#> 9                25   A69-1303-555    12 2016-03-17 02:10:00          26
+#> 10               25   A69-1303-555    14 2016-03-17 02:12:00          26
+#> 11               25   A69-1303-555    15 2016-03-17 02:14:00          26
+#> 12               25   A69-1303-555    17 2016-03-17 02:16:00          26
+#> 13               25   A69-1303-555    19 2016-03-17 02:18:00          26
+#> 14               25   A69-1303-555    21 2016-03-17 02:20:00          26
+#> 15               25   A69-1303-555    22 2016-03-17 02:22:00          26
+#> 16               25   A69-1303-555    23 2016-03-17 02:24:00          26
+#> 17               25   A69-1303-555    24 2016-03-17 02:30:00          26
+#> 18               25   A69-1303-555    25 2016-03-17 02:32:00          26
+#> 19               25   A69-1303-555    26 2016-03-17 02:52:00          21
+#> 20               25   A69-1303-555    27 2016-03-17 02:54:00          26
+#> 21               25   A69-1303-555    28 2016-03-17 02:56:00          26
+#> 22               25   A69-1303-555    29 2016-03-17 02:56:00          21
+#> 23               25   A69-1303-555    31 2016-03-17 02:58:00          21
+#> 24               25   A69-1303-555    33 2016-03-17 03:00:00          21
+#> 25               25   A69-1303-555    34 2016-03-17 03:02:00          21
+#> 26               25   A69-1303-555    35 2016-03-17 03:04:00          21
+#> 27               25   A69-1303-555    37 2016-03-17 03:06:00          21
+#> 28               25   A69-1303-555    39 2016-03-17 03:08:00          21
+#> 29               25   A69-1303-555    42 2016-03-17 03:10:00          21
+#> 30               25   A69-1303-555    44 2016-03-17 03:12:00          21
+#> 31               25   A69-1303-555    46 2016-03-17 03:16:00          21
+#> 32               25   A69-1303-555    48 2016-03-17 03:18:00          21
+#> 33               25   A69-1303-555    49 2016-03-17 03:20:00          21
+#> 34               25   A69-1303-555    51 2016-03-17 03:22:00          21
+#> 35               25   A69-1303-555    54 2016-03-17 03:24:00          21
+#> 36               25   A69-1303-555    55 2016-03-17 03:26:00          21
+#> 37               25   A69-1303-555    57 2016-03-17 03:28:00          21
+#> 38               25   A69-1303-555    59 2016-03-17 03:30:00          21
+#> 39               25   A69-1303-555    60 2016-03-17 03:32:00          21
+#> 40               25   A69-1303-555    62 2016-03-17 03:36:00          21
+#> 41               25   A69-1303-555    64 2016-03-17 03:38:00          21
+#> 42               25   A69-1303-555    66 2016-03-17 03:40:00          21
+#> 43               25   A69-1303-555    67 2016-03-17 03:42:00          26
+#> 44               25   A69-1303-555    68 2016-03-17 03:44:00          26
+#> 45               25   A69-1303-555    69 2016-03-17 03:46:00          26
+#> 46               25   A69-1303-555    71 2016-03-17 03:48:00          26
+#> 47               25   A69-1303-555    73 2016-03-17 03:50:00          26
+#> 48               25   A69-1303-555    74 2016-03-17 03:54:00          26
+#> 49               25   A69-1303-555    75 2016-03-17 04:04:00          26
+#> 50               25   A69-1303-555    77 2016-03-17 04:06:00          26
+#> 51               25   A69-1303-555    78 2016-03-17 04:08:00          26
+#> 52               25   A69-1303-555    79 2016-03-17 04:08:00          21
+#> 53               25   A69-1303-555    80 2016-03-17 04:12:00          21
+#> 54               25   A69-1303-555    81 2016-03-17 04:32:00          26
+#> 55               25   A69-1303-555    82 2016-03-17 04:34:00          26
+#> 56               25   A69-1303-555    83 2016-03-17 04:38:00          26
+#> 57               25   A69-1303-555    84 2016-03-17 04:44:00          26
+#> 58               25   A69-1303-555    85 2016-03-17 04:48:00          26
+#> 59               25   A69-1303-555    86 2016-03-17 04:50:00          26
+#> 60               25   A69-1303-555    87 2016-03-17 04:54:00          26
+#> 61               25   A69-1303-555    88 2016-03-17 04:56:00          26
+#> 62               25   A69-1303-555    90 2016-03-17 04:58:00          26
+#> 63               25   A69-1303-555    92 2016-03-17 05:00:00          26
+#> 64               25   A69-1303-555    94 2016-03-17 05:02:00          26
+#> 65               25   A69-1303-555    96 2016-03-17 05:04:00          26
+#> 66               25   A69-1303-555    97 2016-03-17 05:06:00          26
+#> 67               25   A69-1303-555    99 2016-03-17 05:06:00          31
+#> 68               25   A69-1303-555   100 2016-03-17 05:08:00          26
+#> 69               25   A69-1303-555   102 2016-03-17 05:10:00          31
+#> 70               25   A69-1303-555   103 2016-03-17 05:10:00          26
+#> 71               25   A69-1303-555   105 2016-03-17 05:12:00          26
+#> 72               25   A69-1303-555   107 2016-03-17 05:14:00          26
+#> 73               25   A69-1303-555   109 2016-03-17 05:16:00          26
+#> 74               25   A69-1303-555   111 2016-03-17 05:18:00          26
+#> 75               25   A69-1303-555   112 2016-03-17 05:20:00          31
+#> 76               25   A69-1303-555   113 2016-03-17 05:20:00          26
+#> 77               25   A69-1303-555   116 2016-03-17 05:22:00          26
+#> 78               25   A69-1303-555   117 2016-03-17 05:24:00          26
+#> 79               25   A69-1303-555   119 2016-03-17 05:26:00          26
+#> 80               25   A69-1303-555   120 2016-03-17 05:28:00          26
+#> 81               25   A69-1303-555   121 2016-03-17 05:30:00          26
+#> 82               25   A69-1303-555   123 2016-03-17 05:32:00          26
+#> 83               25   A69-1303-555   125 2016-03-17 05:34:00          26
+#> 84               25   A69-1303-555   127 2016-03-17 05:36:00          26
+#> 85               25   A69-1303-555   129 2016-03-17 05:38:00          26
+#> 86               25   A69-1303-555   131 2016-03-17 05:40:00          26
+#> 87               25   A69-1303-555   132 2016-03-17 08:36:00          26
+#> 88               25   A69-1303-555   133 2016-03-17 08:40:00          26
+#> 89               25   A69-1303-555   134 2016-03-17 08:42:00          26
+#> 90               25   A69-1303-555   136 2016-03-17 08:44:00          26
+#> 91               25   A69-1303-555   137 2016-03-17 08:46:00          26
+#> 92               25   A69-1303-555   138 2016-03-17 08:50:00          26
+#> 93               25   A69-1303-555   139 2016-03-17 08:50:00          31
+#> 94               25   A69-1303-555   142 2016-03-17 08:52:00          26
+#> 95               25   A69-1303-555   144 2016-03-17 08:52:00          31
+#> 96               25   A69-1303-555   146 2016-03-17 08:54:00          31
+#> 97               25   A69-1303-555   147 2016-03-17 08:54:00          26
+#> 98               25   A69-1303-555   148 2016-03-17 08:58:00          31
+#> 99               25   A69-1303-555   149 2016-03-17 08:58:00          26
+#> 100              25   A69-1303-555   151 2016-03-17 09:00:00          26
+#> 101              25   A69-1303-555   152 2016-03-17 09:00:00          31
+#> 102              25   A69-1303-555   154 2016-03-17 09:02:00          26
+#> 103              25   A69-1303-555   155 2016-03-21 21:06:00          26
+#> 104              25   A69-1303-555   156 2016-03-21 21:08:00          26
+#> 105              25   A69-1303-555   157 2016-03-21 22:20:00          26
+#> 106              25   A69-1303-555   158 2016-03-21 22:24:00          26
+#> 107              25   A69-1303-555   159 2016-03-21 22:26:00          26
+#> 108              25   A69-1303-555   161 2016-03-21 22:28:00          26
+#> 109              25   A69-1303-555   162 2016-03-21 22:34:00          26
+#> 110              25   A69-1303-555   163 2016-03-21 22:36:00          26
+#> 111              25   A69-1303-555   165 2016-03-21 22:38:00          26
+#> 112              25   A69-1303-555   166 2016-03-21 22:40:00          26
+#> 113              25   A69-1303-555   167 2016-03-21 22:42:00          26
+#> 114              25   A69-1303-555   168 2016-03-21 22:44:00          26
+#> 115              25   A69-1303-555   169 2016-03-21 22:46:00          26
+#> 116              25   A69-1303-555   171 2016-03-21 22:48:00          26
+#> 117              25   A69-1303-555   173 2016-03-21 22:50:00          26
+#> 118              25   A69-1303-555   175 2016-03-21 22:52:00          26
+#> 119              25   A69-1303-555   176 2016-03-21 22:54:00          26
+#> 120              25   A69-1303-555   177 2016-03-21 22:56:00          26
+#> 121              25   A69-1303-555   180 2016-03-21 23:00:00          26
+#> 122              25   A69-1303-555   181 2016-03-21 23:04:00          26
+#> 123              25   A69-1303-555   182 2016-03-21 23:06:00          26
+#> 124              25   A69-1303-555   183 2016-03-21 23:08:00          26
+#> 125              25   A69-1303-555   184 2016-03-22 05:28:00          26
+#> 126              25   A69-1303-555   185 2016-03-22 05:30:00          26
+#> 127              25   A69-1303-555   186 2016-03-22 05:36:00          26
+#> 128              25   A69-1303-555   187 2016-03-22 05:40:00          26
+#> 129              25   A69-1303-555   188 2016-03-22 05:42:00          26
+#> 130              25   A69-1303-555   190 2016-03-22 05:44:00          26
+#> 131              25   A69-1303-555   191 2016-03-22 05:48:00          26
+#> 132              25   A69-1303-555   192 2016-03-22 05:50:00          26
+#> 133              25   A69-1303-555   193 2016-03-22 05:52:00          26
+#> 134              25   A69-1303-555   194 2016-03-22 07:36:00          26
+#> 135              25   A69-1303-555   195 2016-03-22 07:44:00          26
+#> 136              25   A69-1303-555   196 2016-03-22 08:20:00          26
+#> 137              25   A69-1303-555   197 2016-03-22 08:22:00          26
+#> 138              25   A69-1303-555   198 2016-03-22 08:24:00          26
+#> 139              25   A69-1303-555   200 2016-03-22 08:26:00          26
+#> 140              25   A69-1303-555   201 2016-03-22 08:28:00          26
+#> 141              25   A69-1303-555   202 2016-03-22 08:30:00          26
+#> 142              25   A69-1303-555   204 2016-03-23 22:42:00          11
+#> 143              25   A69-1303-555   205 2016-03-23 22:44:00          11
+#> 144              25   A69-1303-555   206 2016-03-23 22:46:00          11
+#> 145              25   A69-1303-555   207 2016-03-23 22:48:00          11
+#> 146              25   A69-1303-555   209 2016-03-23 23:26:00          11
+#> 147              25   A69-1303-555   211 2016-03-23 23:30:00          11
+#> 148              25   A69-1303-555   212 2016-03-23 23:40:00          11
+#> 149              25   A69-1303-555   213 2016-03-23 23:44:00          11
+#> 150              25   A69-1303-555   214 2016-03-23 23:46:00          11
+#> 151              25   A69-1303-555   216 2016-03-23 23:50:00          11
+#> 152              25   A69-1303-555   217 2016-03-23 23:52:00          11
+#> 153              25   A69-1303-555   219 2016-03-23 23:54:00          11
+#> 154              25   A69-1303-555   221 2016-03-23 23:56:00          11
+#> 155              25   A69-1303-555   223 2016-03-23 23:58:00          11
+#> 156              25   A69-1303-555   225 2016-03-24 00:00:00          11
+#> 157              25   A69-1303-555   227 2016-03-24 00:02:00          11
+#> 158              25   A69-1303-555   228 2016-03-24 00:04:00          11
+#> 159              25   A69-1303-555   230 2016-03-24 00:06:00          11
+#> 160              25   A69-1303-555   231 2016-03-24 00:10:00          11
+#> 161              25   A69-1303-555   232 2016-03-24 00:12:00          11
+#> 162              25   A69-1303-555   233 2016-03-24 00:20:00          11
+#> 163              25   A69-1303-555   234 2016-03-24 00:22:00          11
+#> 164              25   A69-1303-555   236 2016-03-24 00:24:00          11
+#> 165              25   A69-1303-555   237 2016-03-24 00:26:00          11
+#> 166              25   A69-1303-555   238 2016-03-24 00:28:00          11
+#> 167              25   A69-1303-555   240 2016-03-24 00:30:00          11
+#> 168              25   A69-1303-555   242 2016-03-24 00:40:00          11
+#> 169              25   A69-1303-555   244 2016-03-24 00:42:00          11
+#> 170              25   A69-1303-555   245 2016-03-24 00:44:00          11
+#> 171              25   A69-1303-555   247 2016-03-24 00:46:00          11
+#> 172              25   A69-1303-555   249 2016-03-24 00:48:00          11
+#> 173              25   A69-1303-555   250 2016-03-24 00:50:00          11
+#> 174              25   A69-1303-555   252 2016-03-24 00:52:00          11
+#> 175              25   A69-1303-555   253 2016-03-24 00:54:00          11
+#> 176              25   A69-1303-555   255 2016-03-24 00:56:00          11
+#> 177              25   A69-1303-555   257 2016-03-24 00:58:00          11
+#> 178              25   A69-1303-555   260 2016-03-24 01:00:00          11
+#> 179              25   A69-1303-555   261 2016-03-24 01:02:00          11
+#> 180              25   A69-1303-555   263 2016-03-24 01:04:00          11
+#> 181              25   A69-1303-555   265 2016-03-24 01:20:00          11
+#> 182              25   A69-1303-555   266 2016-03-24 01:26:00          11
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+#> 1734             25   A69-1303-555  2736 2016-06-03 13:58:00          14
+#> 1735             25   A69-1303-555  2738 2016-06-03 14:00:00          14
+#> 1736             25   A69-1303-555  2740 2016-06-03 14:02:00          14
+#> 1737             25   A69-1303-555  2741 2016-06-03 14:04:00          14
+#> 1738             25   A69-1303-555  2744 2016-06-03 14:06:00          14
+#> 1739             25   A69-1303-555  2745 2016-06-03 14:12:00          14
+#> 1740             25   A69-1303-555  2746 2016-06-03 14:14:00          14
+#> 1741             25   A69-1303-555  2748 2016-06-03 14:16:00          14
+#> 1742             25   A69-1303-555  2749 2016-06-03 14:18:00          14
+#> 1743             25   A69-1303-555  2751 2016-06-03 14:30:00          14
+#> 1744             25   A69-1303-555  2753 2016-06-03 14:32:00          14
+#> 1745             25   A69-1303-555  2756 2016-06-03 14:34:00          14
+#> 1746             25   A69-1303-555  2757 2016-06-03 14:36:00          14
+#> 1747             25   A69-1303-555  2760 2016-06-03 14:38:00          14
+#> 1748             25   A69-1303-555  2761 2016-06-03 14:40:00          14
+#> 1749             25   A69-1303-555  2763 2016-06-03 14:42:00          14
+#> 1750             25   A69-1303-555  2765 2016-06-03 14:44:00          14
+#> 1751             25   A69-1303-555  2767 2016-06-03 14:46:00          14
+#> 1752             25   A69-1303-555  2768 2016-06-03 14:48:00          14
+#> 1753             25   A69-1303-555  2770 2016-06-03 14:50:00          14
+#> 1754             25   A69-1303-555  2771 2016-06-03 14:52:00          14
+#> 1755             25   A69-1303-555  2773 2016-06-03 14:58:00          14
+#> 1756             25   A69-1303-555  2775 2016-06-03 15:00:00          14
+#> 1757             25   A69-1303-555  2776 2016-06-03 15:02:00          14
+#> 1758             25   A69-1303-555  2777 2016-06-03 15:06:00          14
+#> 1759             25   A69-1303-555  2779 2016-06-03 15:10:00          14
+#> 1760             25   A69-1303-555  2781 2016-06-03 15:12:00          14
+#> 1761             25   A69-1303-555  2783 2016-06-03 15:14:00          14
+#> 1762             25   A69-1303-555  2785 2016-06-03 15:16:00          14
+#> 1763             25   A69-1303-555  2787 2016-06-03 15:18:00          14
+#> 1764             25   A69-1303-555  2788 2016-06-03 15:22:00          14
+#> 1765             25   A69-1303-555  2789 2016-06-03 15:24:00          14
+#> 1766             25   A69-1303-555  2791 2016-06-03 15:26:00          14
+#> 1767             25   A69-1303-555  2793 2016-06-03 15:28:00          14
+#> 1768             25   A69-1303-555  2795 2016-06-03 15:30:00          14
+#> 1769             25   A69-1303-555  2797 2016-06-03 15:32:00          14
+#> 1770             25   A69-1303-555  2799 2016-06-03 15:34:00          14
+#> 1771             25   A69-1303-555  2801 2016-06-03 15:36:00          14
+#> 1772             25   A69-1303-555  2803 2016-06-03 15:38:00          14
+#> 1773             25   A69-1303-555  2804 2016-06-03 15:40:00          14
+#> 1774             25   A69-1303-555  2806 2016-06-03 15:42:00          14
+#> 1775             25   A69-1303-555  2808 2016-06-03 15:44:00          14
+#> 1776             25   A69-1303-555  2809 2016-06-03 15:46:00          14
+#> 1777             25   A69-1303-555  2811 2016-06-03 15:48:00          14
+#> 1778             25   A69-1303-555  2814 2016-06-03 15:50:00          14
+#> 1779             25   A69-1303-555  2815 2016-06-03 15:52:00          14
+#> 1780             25   A69-1303-555  2816 2016-06-03 15:54:00          14
+#> 1781             25   A69-1303-555  2817 2016-06-03 15:56:00          14
+#> 1782             25   A69-1303-555  2819 2016-06-03 15:58:00          14
+#> 1783             25   A69-1303-555  2821 2016-06-03 16:00:00          14
+#> 1784             25   A69-1303-555  2822 2016-06-03 16:02:00          14
+#> 1785             25   A69-1303-555  2823 2016-06-03 16:06:00          14
+#> 1786             25   A69-1303-555  2825 2016-06-03 16:18:00          14
+#> 1787             25   A69-1303-555  2826 2016-06-03 16:24:00          14
+#> 1788             25   A69-1303-555  2827 2016-06-03 16:46:00          14
+#> 1789             25   A69-1303-555  2828 2016-06-03 16:50:00          14
+#> 1790             25   A69-1303-555  2829 2016-06-03 16:58:00          14
+#> 1791             25   A69-1303-555  2831 2016-06-03 17:00:00          14
+#> 1792             25   A69-1303-555  2832 2016-06-03 17:02:00          14
+#> 1793             25   A69-1303-555  2833 2016-06-03 17:04:00          14
+#> 1794             25   A69-1303-555  2834 2016-06-03 17:06:00          14
+#> 1795             25   A69-1303-555  2835 2016-06-03 17:08:00          14
+#> 1796             25   A69-1303-555  2836 2016-06-03 17:10:00          14
+#> 1797             25   A69-1303-555  2837 2016-06-03 17:12:00          14
+#> 1798             25   A69-1303-555  2838 2016-06-03 17:14:00          14
+#> 1799             25   A69-1303-555  2839 2016-06-03 17:16:00          14
+#> 1800             25   A69-1303-555  2842 2016-06-03 17:18:00          14
+#> 1801             25   A69-1303-555  2843 2016-06-03 17:20:00          14
+#> 1802             25   A69-1303-555  2845 2016-06-03 17:22:00          14
+#> 1803             25   A69-1303-555  2847 2016-06-03 17:24:00          14
+#> 1804             25   A69-1303-555  2849 2016-06-03 17:26:00          14
+#> 1805             25   A69-1303-555  2851 2016-06-03 17:28:00          14
+#> 1806             25   A69-1303-555  2853 2016-06-03 17:30:00          14
+#> 1807             25   A69-1303-555  2855 2016-06-03 17:32:00          14
+#> 1808             25   A69-1303-555  2857 2016-06-03 17:34:00          14
+#> 1809             25   A69-1303-555  2858 2016-06-03 17:36:00          14
+#> 1810             25   A69-1303-555  2860 2016-06-03 17:38:00          14
+#> 1811             25   A69-1303-555  2862 2016-06-03 17:40:00          14
+#> 1812             25   A69-1303-555  2864 2016-06-03 17:42:00          14
+#> 1813             25   A69-1303-555  2865 2016-06-03 17:44:00          14
+#> 1814             25   A69-1303-555  2866 2016-06-03 17:48:00          14
+#> 1815             25   A69-1303-555  2868 2016-06-03 17:50:00          14
+#> 1816             25   A69-1303-555  2869 2016-06-03 17:52:00          14
+#> 1817             25   A69-1303-555  2871 2016-06-03 17:54:00          14
+#> 1818             25   A69-1303-555  2872 2016-06-03 17:56:00          14
+#> 1819             25   A69-1303-555  2875 2016-06-03 18:00:00          14
+#> 1820             25   A69-1303-555  2876 2016-06-03 18:02:00          14
+#> 1821             25   A69-1303-555  2877 2016-06-03 18:04:00          14
+#> 1822             25   A69-1303-555  2879 2016-06-03 18:06:00          14
+#> 1823             25   A69-1303-555  2881 2016-06-03 18:08:00          14
+#> 1824             25   A69-1303-555  2883 2016-06-03 18:10:00          14
+#> 1825             25   A69-1303-555  2884 2016-06-03 18:20:00          14
+#> 1826             25   A69-1303-555  2886 2016-06-03 18:22:00          14
+#> 1827             25   A69-1303-555  2888 2016-06-03 18:24:00          14
+#> 1828             25   A69-1303-555  2889 2016-06-03 18:26:00          14
+#> 1829             25   A69-1303-555  2891 2016-06-03 18:28:00          14
+#> 1830             25   A69-1303-555  2893 2016-06-03 18:30:00          14
+#> 1831             25   A69-1303-555  2895 2016-06-03 18:32:00          14
+#> 1832             25   A69-1303-555  2897 2016-06-03 18:34:00          14
+#> 1833             25   A69-1303-555  2898 2016-06-03 18:36:00          14
+#> 1834             25   A69-1303-555  2899 2016-06-03 18:38:00          14
+#> 1835             25   A69-1303-555  2900 2016-06-03 18:40:00          14
+#> 1836             25   A69-1303-555  2901 2016-06-03 18:42:00          14
+#> 1837             25   A69-1303-555  2904 2016-06-03 18:44:00          14
+#> 1838             25   A69-1303-555  2905 2016-06-03 18:48:00          14
+#> 1839             25   A69-1303-555  2906 2016-06-03 18:50:00          14
+#> 1840             25   A69-1303-555  2907 2016-06-03 18:56:00          14
+#> 1841             25   A69-1303-555  2908 2016-06-03 18:58:00          14
+#> 1842             25   A69-1303-555  2909 2016-06-03 19:02:00          14
+#> 1843             25   A69-1303-555  2910 2016-06-03 19:04:00          14
+#> 1844             25   A69-1303-555  2912 2016-06-03 19:06:00          14
+#> 1845             25   A69-1303-555  2913 2016-06-03 19:08:00          14
+#> 1846             25   A69-1303-555  2915 2016-06-03 19:10:00          14
+#> 1847             25   A69-1303-555  2917 2016-06-03 19:12:00          14
+#> 1848             25   A69-1303-555  2919 2016-06-03 19:14:00          14
+#> 1849             25   A69-1303-555  2921 2016-06-03 19:16:00          14
+#> 1850             25   A69-1303-555  2922 2016-06-03 19:18:00          14
+#> 1851             25   A69-1303-555  2925 2016-06-03 19:20:00          14
+#> 1852             25   A69-1303-555  2926 2016-06-03 19:22:00          14
+#> 1853             25   A69-1303-555  2927 2016-06-03 19:24:00          14
+#> 1854             25   A69-1303-555  2929 2016-06-03 19:26:00          14
+#> 1855             25   A69-1303-555  2932 2016-06-03 19:28:00          14
+#> 1856             25   A69-1303-555  2935 2016-06-03 19:30:00          14
+#> 1857             25   A69-1303-555  2937 2016-06-03 19:32:00          14
+#> 1858             25   A69-1303-555  2940 2016-06-04 00:40:00          14
+#> 1859             25   A69-1303-555  2941 2016-06-04 00:42:00          14
+#> 1860             25   A69-1303-555  2942 2016-06-04 00:46:00          14
+#> 1861             25   A69-1303-555  2943 2016-06-04 00:48:00          14
+#> 1862             25   A69-1303-555  2944 2016-06-04 01:00:00          14
+#> 1863             25   A69-1303-555  2945 2016-06-04 01:04:00          14
+#> 1864             25   A69-1303-555  2946 2016-06-04 01:10:00          14
+#> 1865             25   A69-1303-555  2947 2016-06-04 01:12:00          14
+#> 1866             25   A69-1303-555  2948 2016-06-04 01:14:00          14
+#> 1867             25   A69-1303-555  2949 2016-06-04 01:16:00          14
+#> 1868             25   A69-1303-555  2951 2016-06-04 01:18:00          14
+#> 1869             25   A69-1303-555  2952 2016-06-04 01:20:00          14
+#> 1870             25   A69-1303-555  2954 2016-06-04 01:22:00          14
+#> 1871             25   A69-1303-555  2956 2016-06-04 01:24:00          14
+#> 1872             25   A69-1303-555  2957 2016-06-04 01:26:00          14
+#> 1873             25   A69-1303-555  2959 2016-06-04 01:28:00          14
+#> 1874             25   A69-1303-555  2962 2016-06-04 01:30:00          14
+#> 1875             25   A69-1303-555  2963 2016-06-04 01:32:00          14
+#> 1876             25   A69-1303-555  2966 2016-06-04 01:34:00          14
+#> 1877             25   A69-1303-555  2967 2016-06-04 01:36:00          14
+#> 1878             25   A69-1303-555  2968 2016-06-04 01:38:00          14
+#> 1879             25   A69-1303-555  2969 2016-06-04 01:40:00          14
+#> 1880             25   A69-1303-555  2970 2016-06-04 01:44:00          14
+#> 1881             25   A69-1303-555  2972 2016-06-04 01:48:00          14
+#> 1882             25   A69-1303-555  2974 2016-06-04 01:50:00          14
+#> 1883             25   A69-1303-555  2976 2016-06-04 01:54:00          14
+#> 1884             25   A69-1303-555  2978 2016-06-04 01:56:00          14
+#> 1885             25   A69-1303-555  2980 2016-06-04 01:58:00          14
+#> 1886             25   A69-1303-555  2981 2016-06-04 02:00:00          14
+#> 1887             25   A69-1303-555  2983 2016-06-04 02:02:00          14
+#> 1888             25   A69-1303-555  2984 2016-06-04 02:04:00          14
+#> 1889             25   A69-1303-555  2986 2016-06-04 02:06:00          14
+#> 1890             25   A69-1303-555  2988 2016-06-04 02:08:00          14
+#> 1891             25   A69-1303-555  2990 2016-06-04 02:10:00          14
+#> 1892             25   A69-1303-555  2992 2016-06-04 02:12:00          14
+#> 1893             25   A69-1303-555  2994 2016-06-04 02:18:00          14
+#> 1894             25   A69-1303-555  2996 2016-06-04 02:20:00          14
+#> 1895             25   A69-1303-555  2997 2016-06-04 02:22:00          14
+#> 1896             25   A69-1303-555  3000 2016-06-04 02:24:00          14
+#> 1897             25   A69-1303-555  3002 2016-06-04 02:26:00          14
+#> 1898             25   A69-1303-555  3004 2016-06-04 02:28:00          14
+#> 1899             25   A69-1303-555  3005 2016-06-04 02:34:00          14
+#> 1900             25   A69-1303-555  3006 2016-06-04 02:36:00          14
+#> 1901             25   A69-1303-555  3007 2016-06-04 03:12:00          14
+#> 1902             25   A69-1303-555  3009 2016-06-04 03:14:00          14
+#> 1903             25   A69-1303-555  3011 2016-06-04 03:16:00          14
+#> 1904             25   A69-1303-555  3012 2016-06-04 03:18:00          14
+#> 1905             25   A69-1303-555  3013 2016-06-04 03:22:00          14
+#> 1906             25   A69-1303-555  3014 2016-06-04 03:26:00          14
+#> 1907             25   A69-1303-555  3016 2016-06-04 03:28:00          14
+#> 1908             25   A69-1303-555  3017 2016-06-04 03:30:00          14
+#> 1909             25   A69-1303-555  3018 2016-06-04 03:56:00          14
+#> 1910             25   A69-1303-555  3019 2016-06-04 03:58:00          14
+#> 1911             25   A69-1303-555  3021 2016-06-04 04:00:00          14
+#> 1912             25   A69-1303-555  3022 2016-06-04 04:02:00          14
+#> 1913             25   A69-1303-555  3023 2016-06-04 04:04:00          14
+#> 1914             25   A69-1303-555  3025 2016-06-04 04:06:00          14
+#> 1915             25   A69-1303-555  3027 2016-06-04 04:08:00          14
+#> 1916             25   A69-1303-555  3029 2016-06-04 04:10:00          14
+#> 1917             25   A69-1303-555  3030 2016-06-04 04:12:00          14
+#> 1918             25   A69-1303-555  3031 2016-06-04 04:16:00          14
+#> 1919             25   A69-1303-555  3034 2016-06-04 04:24:00          14
+#> 1920             25   A69-1303-555  3035 2016-06-04 04:26:00          14
+#> 1921             25   A69-1303-555  3037 2016-06-04 04:28:00          14
+#> 1922             25   A69-1303-555  3038 2016-06-04 04:32:00          14
+#> 1923             25   A69-1303-555  3039 2016-06-04 04:34:00          14
+#> 1924             25   A69-1303-555  3040 2016-06-04 04:38:00          14
+#> 1925             25   A69-1303-555  3042 2016-06-04 04:40:00          14
+#> 1926             25   A69-1303-555  3044 2016-06-04 04:42:00          14
+#> 1927             25   A69-1303-555  3045 2016-06-04 04:44:00          14
+#> 1928             25   A69-1303-555  3047 2016-06-04 04:46:00          14
+#> 1929             25   A69-1303-555  3049 2016-06-04 04:48:00          14
+#> 1930             25   A69-1303-555  3050 2016-06-04 04:50:00          14
+#> 1931             25   A69-1303-555  3052 2016-06-04 04:52:00          14
+#> 1932             25   A69-1303-555  3054 2016-06-04 04:54:00          14
+#> 1933             25   A69-1303-555  3055 2016-06-04 04:56:00          14
+#> 1934             25   A69-1303-555  3057 2016-06-04 04:58:00          14
+#> 1935             25   A69-1303-555  3059 2016-06-04 05:00:00          14
+#> 1936             25   A69-1303-555  3061 2016-06-04 05:02:00          14
+#> 1937             25   A69-1303-555  3063 2016-06-04 05:04:00          14
+#> 1938             25   A69-1303-555  3065 2016-06-04 05:08:00          14
+#> 1939             25   A69-1303-555  3066 2016-06-04 05:16:00          14
+#> 1940             25   A69-1303-555  3068 2016-06-04 07:00:00          14
+#> 1941             25   A69-1303-555  3069 2016-06-04 07:04:00          14
+#> 1942             25   A69-1303-555  3071 2016-06-04 07:06:00          14
+#> 1943             25   A69-1303-555  3072 2016-06-04 07:10:00          14
+#> 1944             25   A69-1303-555  3075 2016-06-04 07:12:00          14
+#> 1945             25   A69-1303-555  3076 2016-06-04 07:14:00          14
+#> 1946             25   A69-1303-555  3078 2016-06-04 07:18:00          14
+#> 1947             25   A69-1303-555  3079 2016-06-04 10:26:00          14
+#> 1948             25   A69-1303-555  3080 2016-06-04 10:34:00          14
+#> 1949             25   A69-1303-555  3081 2016-06-04 10:40:00          14
+#> 1950             25   A69-1303-555  3082 2016-06-04 11:08:00          14
+#> 1951             25   A69-1303-555  3083 2016-06-04 11:10:00          14
+#> 1952             25   A69-1303-555  3084 2016-06-04 11:24:00          14
+#> 1953             25   A69-1303-555  3085 2016-06-04 11:38:00          14
+#> 1954             25   A69-1303-555  3086 2016-06-04 12:02:00          14
+#> 1955             25   A69-1303-555  3087 2016-06-04 18:46:00          14
+#> 1956             25   A69-1303-555  3088 2016-06-04 18:48:00          14
+#> 1957             25   A69-1303-555  3089 2016-06-04 19:14:00          14
+#> 1958             25   A69-1303-555  3090 2016-06-04 19:16:00          14
+#> 1959             25   A69-1303-555  3091 2016-06-07 09:50:00          14
+#> 1960             25   A69-1303-555  3092 2016-06-07 09:58:00          14
+#> 1961             25   A69-1303-555  3093 2016-06-07 10:08:00          14
+#> 1962             25   A69-1303-555  3094 2016-06-07 10:10:00          14
+#> 1963             25   A69-1303-555  3095 2016-06-07 10:14:00          14
+#> 1964             25   A69-1303-555  3096 2016-06-07 10:56:00          14
+#> 1965             25   A69-1303-555  3097 2016-06-07 10:58:00          14
+#> 1966             25   A69-1303-555  3098 2016-06-07 11:10:00          14
+#> 1967             25   A69-1303-555  3100 2016-06-07 11:14:00          14
+#> 1968             25   A69-1303-555  3103 2016-06-07 11:16:00          14
+#> 1969             25   A69-1303-555  3104 2016-06-07 11:22:00          14
+#> 1970             25   A69-1303-555  3105 2016-06-07 11:26:00          14
+#> 1971             25   A69-1303-555  3106 2016-06-07 11:28:00          14
+#> 1972             25   A69-1303-555  3108 2016-06-07 11:30:00          14
+#> 1973             25   A69-1303-555  3109 2016-06-07 11:32:00          14
+#> 1974             25   A69-1303-555  3111 2016-06-07 11:34:00          14
+#> 1975             25   A69-1303-555  3112 2016-06-07 11:36:00          14
+#> 1976             25   A69-1303-555  3113 2016-06-07 11:42:00          14
+#> 1977             25   A69-1303-555  3114 2016-06-07 11:44:00          14
+#> 1978             25   A69-1303-555  3115 2016-06-07 11:48:00          14
+#> 1979             25   A69-1303-555  3116 2016-06-07 11:52:00          14
+#> 1980             25   A69-1303-555  3117 2016-06-07 11:54:00          14
+#> 1981             25   A69-1303-555  3118 2016-06-07 12:04:00          14
+#> 1982             25   A69-1303-555  3119 2016-06-07 12:06:00          14
+#> 1983             25   A69-1303-555  3121 2016-06-07 12:14:00          14
+#> 1984             25   A69-1303-555  3122 2016-06-07 12:16:00          14
+#> 1985             25   A69-1303-555  3124 2016-06-07 12:18:00          14
+#> 1986             25   A69-1303-555  3125 2016-06-07 12:20:00          14
+#> 1987             25   A69-1303-555  3126 2016-06-07 12:24:00          14
+#> 1988             25   A69-1303-555  3127 2016-06-07 12:32:00          14
+#> 1989             25   A69-1303-555  3128 2016-06-07 12:36:00          14
+#> 1990             25   A69-1303-555  3130 2016-06-07 12:38:00          14
+#> 1991             25   A69-1303-555  3132 2016-06-07 12:40:00          14
+#> 1992             25   A69-1303-555  3133 2016-06-07 12:42:00          14
+#> 1993             25   A69-1303-555  3135 2016-06-07 12:46:00          14
+#> 1994             25   A69-1303-555  3136 2016-06-07 12:48:00          14
+#> 1995             25   A69-1303-555  3138 2016-06-07 12:50:00          14
+#> 1996             25   A69-1303-555  3140 2016-06-07 12:52:00          14
+#> 1997             25   A69-1303-555  3142 2016-06-07 12:54:00          14
+#> 1998             25   A69-1303-555  3144 2016-06-07 12:56:00          14
+#> 1999             25   A69-1303-555  3146 2016-06-07 12:58:00          14
+#> 2000             25   A69-1303-555  3149 2016-06-07 13:00:00          14
+#> 2001             25   A69-1303-555  3151 2016-06-07 13:02:00          14
+#> 2002             25   A69-1303-555  3153 2016-06-07 13:04:00          14
+#> 2003             25   A69-1303-555  3154 2016-06-07 13:06:00          14
+#> 2004             25   A69-1303-555  3156 2016-06-07 13:08:00          14
+#> 2005             25   A69-1303-555  3158 2016-06-07 13:10:00          14
+#> 2006             25   A69-1303-555  3159 2016-06-07 13:12:00          14
+#> 2007             25   A69-1303-555  3160 2016-06-07 13:14:00          14
+#> 2008             25   A69-1303-555  3162 2016-06-07 13:16:00          14
+#> 2009             25   A69-1303-555  3163 2016-06-07 13:28:00          14
+#> 2010             25   A69-1303-555  3164 2016-06-07 13:32:00          14
+#> 2011             25   A69-1303-555  3165 2016-06-07 13:40:00          14
+#> 2012             25   A69-1303-555  3167 2016-06-07 13:42:00          14
+#> 2013             25   A69-1303-555  3168 2016-06-07 13:44:00          14
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+#> 11005            25   A69-1303-555 16824 2017-04-27 20:32:00          45
+#> 11006            25   A69-1303-555 16825 2017-04-27 20:34:00          45
+#> 11007            25   A69-1303-555 16826 2017-04-27 20:40:00          45
+#> 11008            25   A69-1303-555 16828 2017-04-27 20:44:00          45
+#> 11009            25   A69-1303-555 16829 2017-04-27 20:48:00          45
+#> 11010            25   A69-1303-555 16830 2017-04-27 20:50:00          45
+#> 11011            25   A69-1303-555 16832 2017-04-27 20:52:00          45
+#> 11012            25   A69-1303-555 16834 2017-04-27 20:54:00          45
+#> 11013            25   A69-1303-555 16836 2017-04-27 20:56:00          45
+#> 11014            25   A69-1303-555 16837 2017-04-27 20:58:00          45
+#> 11015            25   A69-1303-555 16839 2017-04-27 21:00:00          45
+#> 11016            25   A69-1303-555 16841 2017-04-27 21:02:00          45
+#> 11017            25   A69-1303-555 16842 2017-04-27 21:04:00          45
+#> 11018            25   A69-1303-555 16844 2017-04-27 21:06:00          45
+#> 11019            25   A69-1303-555 16846 2017-04-27 21:08:00          45
+#> 11020            25   A69-1303-555 16848 2017-04-27 21:10:00          45
+#> 11021            25   A69-1303-555 16849 2017-04-27 21:12:00          45
+#> 11022            25   A69-1303-555 16851 2017-04-27 21:14:00          45
+#> 11023            25   A69-1303-555 16854 2017-04-27 21:16:00          45
+#> 11024            25   A69-1303-555 16855 2017-04-27 21:18:00          45
+#> 11025            25   A69-1303-555 16857 2017-04-27 21:20:00          45
+#> 11026            25   A69-1303-555 16859 2017-04-27 21:22:00          45
+#> 11027            25   A69-1303-555 16860 2017-04-27 21:24:00          45
+#> 11028            25   A69-1303-555 16863 2017-04-27 21:26:00          45
+#> 11029            25   A69-1303-555 16865 2017-04-27 21:28:00          45
+#> 11030            25   A69-1303-555 16867 2017-04-27 21:30:00          45
+#> 11031            25   A69-1303-555 16868 2017-04-27 21:32:00          45
+#> 11032            25   A69-1303-555 16871 2017-04-27 21:38:00          45
+#> 11033            25   A69-1303-555 16873 2017-04-27 21:40:00          45
+#> 11034            25   A69-1303-555 16874 2017-04-27 21:42:00          45
+#> 11035            25   A69-1303-555 16876 2017-04-27 21:46:00          45
+#> 11036            25   A69-1303-555 16877 2017-04-27 21:50:00          45
+#> 11037            25   A69-1303-555 16878 2017-04-27 21:52:00          45
+#> 11038            25   A69-1303-555 16879 2017-04-27 21:54:00          45
+#> 11039            25   A69-1303-555 16881 2017-04-27 21:58:00          45
+#> 11040            25   A69-1303-555 16882 2017-04-27 22:00:00          45
+#> 11041            25   A69-1303-555 16884 2017-04-27 22:04:00          45
+#> 11042            25   A69-1303-555 16887 2017-04-27 22:06:00          45
+#> 11043            25   A69-1303-555 16889 2017-04-27 22:08:00          45
+#> 11044            25   A69-1303-555 16890 2017-04-27 22:10:00          45
+#> 11045            25   A69-1303-555 16891 2017-04-27 22:12:00          45
+#> 11046            25   A69-1303-555 16893 2017-04-27 22:14:00          45
+#> 11047            25   A69-1303-555 16895 2017-04-27 22:16:00          45
+#> 11048            25   A69-1303-555 16896 2017-04-27 22:18:00          45
+#> 11049            25   A69-1303-555 16899 2017-04-27 22:20:00          45
+#> 11050            25   A69-1303-555 16900 2017-04-27 22:22:00          45
+#> 11051            25   A69-1303-555 16901 2017-04-27 22:24:00          45
+#> 11052            25   A69-1303-555 16902 2017-04-27 22:26:00          45
+#> 11053            25   A69-1303-555 16904 2017-04-27 22:28:00          45
+#> 11054            25   A69-1303-555 16905 2017-04-27 22:30:00          45
+#> 11055            25   A69-1303-555 16907 2017-04-27 22:32:00          45
+#> 11056            25   A69-1303-555 16909 2017-04-27 22:34:00          45
+#> 11057            25   A69-1303-555 16910 2017-04-27 22:36:00          45
+#> 11058            25   A69-1303-555 16913 2017-04-27 22:38:00          45
+#> 11059            25   A69-1303-555 16915 2017-04-27 22:40:00          45
+#> 11060            25   A69-1303-555 16917 2017-04-27 22:42:00          45
+#> 11061            25   A69-1303-555 16919 2017-04-27 22:44:00          45
+#> 11062            25   A69-1303-555 16921 2017-04-27 22:46:00          45
+#> 11063            25   A69-1303-555 16922 2017-04-27 22:48:00          45
+#> 11064            25   A69-1303-555 16924 2017-04-27 22:50:00          45
+#> 11065            25   A69-1303-555 16926 2017-04-27 22:52:00          45
+#> 11066            25   A69-1303-555 16927 2017-04-27 22:54:00          45
+#> 11067            25   A69-1303-555 16929 2017-04-27 22:56:00          45
+#> 11068            25   A69-1303-555 16930 2017-04-27 22:58:00          45
+#> 11069            25   A69-1303-555 16932 2017-04-27 23:00:00          45
+#> 11070            25   A69-1303-555 16934 2017-04-27 23:02:00          45
+#> 11071            25   A69-1303-555 16937 2017-04-27 23:04:00          45
+#> 11072            25   A69-1303-555 16939 2017-04-27 23:06:00          45
+#> 11073            25   A69-1303-555 16941 2017-04-27 23:08:00          45
+#> 11074            25   A69-1303-555 16943 2017-04-27 23:10:00          45
+#> 11075            25   A69-1303-555 16944 2017-04-27 23:12:00          45
+#> 11076            25   A69-1303-555 16945 2017-04-27 23:14:00          45
+#> 11077            25   A69-1303-555 16948 2017-04-27 23:16:00          45
+#> 11078            25   A69-1303-555 16950 2017-04-27 23:18:00          45
+#> 11079            25   A69-1303-555 16951 2017-04-27 23:20:00          45
+#> 11080            25   A69-1303-555 16953 2017-04-27 23:22:00          45
+#> 11081            25   A69-1303-555 16954 2017-04-27 23:24:00          45
+#> 11082            25   A69-1303-555 16957 2017-04-27 23:26:00          45
+#> 11083            25   A69-1303-555 16958 2017-04-27 23:28:00          45
+#> 11084            25   A69-1303-555 16960 2017-04-27 23:30:00          45
+#> 11085            25   A69-1303-555 16962 2017-04-27 23:32:00          45
+#> 11086            25   A69-1303-555 16963 2017-04-27 23:34:00          45
+#> 11087            25   A69-1303-555 16965 2017-04-27 23:36:00          45
+#> 11088            25   A69-1303-555 16966 2017-04-27 23:38:00          45
+#> 11089            25   A69-1303-555 16968 2017-04-27 23:40:00          45
+#> 11090            25   A69-1303-555 16969 2017-04-27 23:42:00          45
+#> 11091            25   A69-1303-555 16970 2017-04-27 23:46:00          45
+#> 11092            25   A69-1303-555 16971 2017-04-27 23:48:00          56
+#> 11093            25   A69-1303-555 16972 2017-04-27 23:50:00          45
+#> 11094            25   A69-1303-555 16974 2017-04-27 23:52:00          45
+#> 11095            25   A69-1303-555 16976 2017-04-27 23:54:00          45
+#> 11096            25   A69-1303-555 16977 2017-04-27 23:54:00          56
+#> 11097            25   A69-1303-555 16978 2017-04-27 23:56:00          45
+#> 11098            25   A69-1303-555 16979 2017-04-27 23:58:00          45
+#> 11099            25   A69-1303-555 16981 2017-04-28 00:00:00          56
+#> 11100            25   A69-1303-555 16983 2017-04-28 00:02:00          56
+#> 11101            25   A69-1303-555 16984 2017-04-28 00:04:00          45
+#> 11102            25   A69-1303-555 16985 2017-04-28 00:06:00          56
+#> 11103            25   A69-1303-555 16986 2017-04-28 00:08:00          56
+#> 11104            25   A69-1303-555 16987 2017-04-28 00:10:00          45
+#> 11105            25   A69-1303-555 16988 2017-04-28 00:10:00          56
+#> 11106            25   A69-1303-555 16989 2017-04-28 00:12:00          56
+#> 11107            25   A69-1303-555 16990 2017-04-28 00:12:00          45
+#> 11108            25   A69-1303-555 16991 2017-04-28 00:14:00          45
+#> 11109            25   A69-1303-555 16992 2017-04-28 00:16:00          45
+#> 11110            25   A69-1303-555 16993 2017-04-28 00:16:00          56
+#> 11111            25   A69-1303-555 16995 2017-04-28 00:18:00          45
+#>           receiver receiver_long receiver_lat receiver_depth
+#> 1      VR2W-108163     -5.610733     56.37628             25
+#> 2      VR2W-108163     -5.610733     56.37628             25
+#> 3      VR2W-108163     -5.610733     56.37628             25
+#> 4      VR2W-108163     -5.610733     56.37628             25
+#> 5      VR2W-108163     -5.610733     56.37628             25
+#> 6      VR2W-108163     -5.610733     56.37628             25
+#> 7      VR2W-108163     -5.610733     56.37628             25
+#> 8      VR2W-108163     -5.610733     56.37628             25
+#> 9      VR2W-108163     -5.610733     56.37628             25
+#> 10     VR2W-108163     -5.610733     56.37628             25
+#> 11     VR2W-108163     -5.610733     56.37628             25
+#> 12     VR2W-108163     -5.610733     56.37628             25
+#> 13     VR2W-108163     -5.610733     56.37628             25
+#> 14     VR2W-108163     -5.610733     56.37628             25
+#> 15     VR2W-108163     -5.610733     56.37628             25
+#> 16     VR2W-108163     -5.610733     56.37628             25
+#> 17     VR2W-108163     -5.610733     56.37628             25
+#> 18     VR2W-108163     -5.610733     56.37628             25
+#> 19     VR2W-108158     -5.619533     56.37413             25
+#> 20     VR2W-108163     -5.610733     56.37628             25
+#> 21     VR2W-108163     -5.610733     56.37628             25
+#> 22     VR2W-108158     -5.619533     56.37413             25
+#> 23     VR2W-108158     -5.619533     56.37413             25
+#> 24     VR2W-108158     -5.619533     56.37413             25
+#> 25     VR2W-108158     -5.619533     56.37413             25
+#> 26     VR2W-108158     -5.619533     56.37413             25
+#> 27     VR2W-108158     -5.619533     56.37413             25
+#> 28     VR2W-108158     -5.619533     56.37413             25
+#> 29     VR2W-108158     -5.619533     56.37413             25
+#> 30     VR2W-108158     -5.619533     56.37413             25
+#> 31     VR2W-108158     -5.619533     56.37413             25
+#> 32     VR2W-108158     -5.619533     56.37413             25
+#> 33     VR2W-108158     -5.619533     56.37413             25
+#> 34     VR2W-108158     -5.619533     56.37413             25
+#> 35     VR2W-108158     -5.619533     56.37413             25
+#> 36     VR2W-108158     -5.619533     56.37413             25
+#> 37     VR2W-108158     -5.619533     56.37413             25
+#> 38     VR2W-108158     -5.619533     56.37413             25
+#> 39     VR2W-108158     -5.619533     56.37413             25
+#> 40     VR2W-108158     -5.619533     56.37413             25
+#> 41     VR2W-108158     -5.619533     56.37413             25
+#> 42     VR2W-108158     -5.619533     56.37413             25
+#> 43     VR2W-108163     -5.610733     56.37628             25
+#> 44     VR2W-108163     -5.610733     56.37628             25
+#> 45     VR2W-108163     -5.610733     56.37628             25
+#> 46     VR2W-108163     -5.610733     56.37628             25
+#> 47     VR2W-108163     -5.610733     56.37628             25
+#> 48     VR2W-108163     -5.610733     56.37628             25
+#> 49     VR2W-108163     -5.610733     56.37628             25
+#> 50     VR2W-108163     -5.610733     56.37628             25
+#> 51     VR2W-108163     -5.610733     56.37628             25
+#> 52     VR2W-108158     -5.619533     56.37413             25
+#> 53     VR2W-108158     -5.619533     56.37413             25
+#> 54     VR2W-108163     -5.610733     56.37628             25
+#> 55     VR2W-108163     -5.610733     56.37628             25
+#> 56     VR2W-108163     -5.610733     56.37628             25
+#> 57     VR2W-108163     -5.610733     56.37628             25
+#> 58     VR2W-108163     -5.610733     56.37628             25
+#> 59     VR2W-108163     -5.610733     56.37628             25
+#> 60     VR2W-108163     -5.610733     56.37628             25
+#> 61     VR2W-108163     -5.610733     56.37628             25
+#> 62     VR2W-108163     -5.610733     56.37628             25
+#> 63     VR2W-108163     -5.610733     56.37628             25
+#> 64     VR2W-108163     -5.610733     56.37628             25
+#> 65     VR2W-108163     -5.610733     56.37628             25
+#> 66     VR2W-108163     -5.610733     56.37628             25
+#> 67     VR2W-120722     -5.602283     56.37748             25
+#> 68     VR2W-108163     -5.610733     56.37628             25
+#> 69     VR2W-120722     -5.602283     56.37748             25
+#> 70     VR2W-108163     -5.610733     56.37628             25
+#> 71     VR2W-108163     -5.610733     56.37628             25
+#> 72     VR2W-108163     -5.610733     56.37628             25
+#> 73     VR2W-108163     -5.610733     56.37628             25
+#> 74     VR2W-108163     -5.610733     56.37628             25
+#> 75     VR2W-120722     -5.602283     56.37748             25
+#> 76     VR2W-108163     -5.610733     56.37628             25
+#> 77     VR2W-108163     -5.610733     56.37628             25
+#> 78     VR2W-108163     -5.610733     56.37628             25
+#> 79     VR2W-108163     -5.610733     56.37628             25
+#> 80     VR2W-108163     -5.610733     56.37628             25
+#> 81     VR2W-108163     -5.610733     56.37628             25
+#> 82     VR2W-108163     -5.610733     56.37628             25
+#> 83     VR2W-108163     -5.610733     56.37628             25
+#> 84     VR2W-108163     -5.610733     56.37628             25
+#> 85     VR2W-108163     -5.610733     56.37628             25
+#> 86     VR2W-108163     -5.610733     56.37628             25
+#> 87     VR2W-108163     -5.610733     56.37628             25
+#> 88     VR2W-108163     -5.610733     56.37628             25
+#> 89     VR2W-108163     -5.610733     56.37628             25
+#> 90     VR2W-108163     -5.610733     56.37628             25
+#> 91     VR2W-108163     -5.610733     56.37628             25
+#> 92     VR2W-108163     -5.610733     56.37628             25
+#> 93     VR2W-120722     -5.602283     56.37748             25
+#> 94     VR2W-108163     -5.610733     56.37628             25
+#> 95     VR2W-120722     -5.602283     56.37748             25
+#> 96     VR2W-120722     -5.602283     56.37748             25
+#> 97     VR2W-108163     -5.610733     56.37628             25
+#> 98     VR2W-120722     -5.602283     56.37748             25
+#> 99     VR2W-108163     -5.610733     56.37628             25
+#> 100    VR2W-108163     -5.610733     56.37628             25
+#> 101    VR2W-120722     -5.602283     56.37748             25
+#> 102    VR2W-108163     -5.610733     56.37628             25
+#> 103    VR2W-108163     -5.610733     56.37628             25
+#> 104    VR2W-108163     -5.610733     56.37628             25
+#> 105    VR2W-108163     -5.610733     56.37628             25
+#> 106    VR2W-108163     -5.610733     56.37628             25
+#> 107    VR2W-108163     -5.610733     56.37628             25
+#> 108    VR2W-108163     -5.610733     56.37628             25
+#> 109    VR2W-108163     -5.610733     56.37628             25
+#> 110    VR2W-108163     -5.610733     56.37628             25
+#> 111    VR2W-108163     -5.610733     56.37628             25
+#> 112    VR2W-108163     -5.610733     56.37628             25
+#> 113    VR2W-108163     -5.610733     56.37628             25
+#> 114    VR2W-108163     -5.610733     56.37628             25
+#> 115    VR2W-108163     -5.610733     56.37628             25
+#> 116    VR2W-108163     -5.610733     56.37628             25
+#> 117    VR2W-108163     -5.610733     56.37628             25
+#> 118    VR2W-108163     -5.610733     56.37628             25
+#> 119    VR2W-108163     -5.610733     56.37628             25
+#> 120    VR2W-108163     -5.610733     56.37628             25
+#> 121    VR2W-108163     -5.610733     56.37628             25
+#> 122    VR2W-108163     -5.610733     56.37628             25
+#> 123    VR2W-108163     -5.610733     56.37628             25
+#> 124    VR2W-108163     -5.610733     56.37628             25
+#> 125    VR2W-108163     -5.610733     56.37628             25
+#> 126    VR2W-108163     -5.610733     56.37628             25
+#> 127    VR2W-108163     -5.610733     56.37628             25
+#> 128    VR2W-108163     -5.610733     56.37628             25
+#> 129    VR2W-108163     -5.610733     56.37628             25
+#> 130    VR2W-108163     -5.610733     56.37628             25
+#> 131    VR2W-108163     -5.610733     56.37628             25
+#> 132    VR2W-108163     -5.610733     56.37628             25
+#> 133    VR2W-108163     -5.610733     56.37628             25
+#> 134    VR2W-108163     -5.610733     56.37628             25
+#> 135    VR2W-108163     -5.610733     56.37628             25
+#> 136    VR2W-108163     -5.610733     56.37628             25
+#> 137    VR2W-108163     -5.610733     56.37628             25
+#> 138    VR2W-108163     -5.610733     56.37628             25
+#> 139    VR2W-108163     -5.610733     56.37628             25
+#> 140    VR2W-108163     -5.610733     56.37628             25
+#> 141    VR2W-108163     -5.610733     56.37628             25
+#> 142       VR2-6720     -5.627150     56.50808             50
+#> 143       VR2-6720     -5.627150     56.50808             50
+#> 144       VR2-6720     -5.627150     56.50808             50
+#> 145       VR2-6720     -5.627150     56.50808             50
+#> 146       VR2-6720     -5.627150     56.50808             50
+#> 147       VR2-6720     -5.627150     56.50808             50
+#> 148       VR2-6720     -5.627150     56.50808             50
+#> 149       VR2-6720     -5.627150     56.50808             50
+#> 150       VR2-6720     -5.627150     56.50808             50
+#> 151       VR2-6720     -5.627150     56.50808             50
+#> 152       VR2-6720     -5.627150     56.50808             50
+#> 153       VR2-6720     -5.627150     56.50808             50
+#> 154       VR2-6720     -5.627150     56.50808             50
+#> 155       VR2-6720     -5.627150     56.50808             50
+#> 156       VR2-6720     -5.627150     56.50808             50
+#> 157       VR2-6720     -5.627150     56.50808             50
+#> 158       VR2-6720     -5.627150     56.50808             50
+#> 159       VR2-6720     -5.627150     56.50808             50
+#> 160       VR2-6720     -5.627150     56.50808             50
+#> 161       VR2-6720     -5.627150     56.50808             50
+#> 162       VR2-6720     -5.627150     56.50808             50
+#> 163       VR2-6720     -5.627150     56.50808             50
+#> 164       VR2-6720     -5.627150     56.50808             50
+#> 165       VR2-6720     -5.627150     56.50808             50
+#> 166       VR2-6720     -5.627150     56.50808             50
+#> 167       VR2-6720     -5.627150     56.50808             50
+#> 168       VR2-6720     -5.627150     56.50808             50
+#> 169       VR2-6720     -5.627150     56.50808             50
+#> 170       VR2-6720     -5.627150     56.50808             50
+#> 171       VR2-6720     -5.627150     56.50808             50
+#> 172       VR2-6720     -5.627150     56.50808             50
+#> 173       VR2-6720     -5.627150     56.50808             50
+#> 174       VR2-6720     -5.627150     56.50808             50
+#> 175       VR2-6720     -5.627150     56.50808             50
+#> 176       VR2-6720     -5.627150     56.50808             50
+#> 177       VR2-6720     -5.627150     56.50808             50
+#> 178       VR2-6720     -5.627150     56.50808             50
+#> 179       VR2-6720     -5.627150     56.50808             50
+#> 180       VR2-6720     -5.627150     56.50808             50
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+#> 486       VR2-5629     -5.655350     56.38545             50
+#> 487       VR2-5629     -5.655350     56.38545             50
+#> 488       VR2-5629     -5.655350     56.38545             50
+#> 489       VR2-5629     -5.655350     56.38545             50
+#> 490       VR2-5629     -5.655350     56.38545             50
+#> 491       VR2-5629     -5.655350     56.38545             50
+#> 492       VR2-5637     -5.662083     56.38858             10
+#> 493       VR2-5637     -5.662083     56.38858             10
+#> 494       VR2-5637     -5.662083     56.38858             10
+#> 495       VR2-5629     -5.655350     56.38545             50
+#> 496       VR2-5629     -5.655350     56.38545             50
+#> 497       VR2-5629     -5.655350     56.38545             50
+#> 498       VR2-5629     -5.655350     56.38545             50
+#> 499       VR2-5629     -5.655350     56.38545             50
+#> 500    VR2W-108163     -5.610733     56.37628             25
+#> 501    VR2W-108163     -5.610733     56.37628             25
+#> 502    VR2W-108163     -5.610733     56.37628             25
+#> 503    VR2W-108163     -5.610733     56.37628             25
+#> 504    VR2W-108163     -5.610733     56.37628             25
+#> 505    VR2W-108163     -5.610733     56.37628             25
+#> 506    VR2W-108163     -5.610733     56.37628             25
+#> 507    VR2W-108163     -5.610733     56.37628             25
+#> 508    VR2W-108163     -5.610733     56.37628             25
+#> 509    VR2W-108163     -5.610733     56.37628             25
+#> 510    VR2W-108163     -5.610733     56.37628             25
+#> 511    VR2W-108163     -5.610733     56.37628             25
+#> 512    VR2W-108163     -5.610733     56.37628             25
+#> 513    VR2W-108163     -5.610733     56.37628             25
+#> 514    VR2W-108163     -5.610733     56.37628             25
+#> 515    VR2W-108163     -5.610733     56.37628             25
+#> 516    VR2W-108163     -5.610733     56.37628             25
+#> 517    VR2W-108163     -5.610733     56.37628             25
+#> 518    VR2W-108163     -5.610733     56.37628             25
+#> 519    VR2W-108163     -5.610733     56.37628             25
+#> 520    VR2W-108163     -5.610733     56.37628             25
+#> 521    VR2W-108163     -5.610733     56.37628             25
+#> 522    VR2W-108163     -5.610733     56.37628             25
+#> 523    VR2W-108163     -5.610733     56.37628             25
+#> 524    VR2W-108163     -5.610733     56.37628             25
+#> 525    VR2W-108163     -5.610733     56.37628             25
+#> 526    VR2W-108163     -5.610733     56.37628             25
+#> 527    VR2W-108163     -5.610733     56.37628             25
+#> 528    VR2W-108163     -5.610733     56.37628             25
+#> 529    VR2W-108163     -5.610733     56.37628             25
+#> 530    VR2W-108163     -5.610733     56.37628             25
+#> 531    VR2W-108163     -5.610733     56.37628             25
+#> 532    VR2W-108163     -5.610733     56.37628             25
+#> 533    VR2W-108163     -5.610733     56.37628             25
+#> 534    VR2W-108163     -5.610733     56.37628             25
+#> 535    VR2W-108163     -5.610733     56.37628             25
+#> 536    VR2W-108163     -5.610733     56.37628             25
+#> 537    VR2W-108163     -5.610733     56.37628             25
+#> 538    VR2W-108163     -5.610733     56.37628             25
+#> 539    VR2W-108163     -5.610733     56.37628             25
+#> 540    VR2W-108163     -5.610733     56.37628             25
+#> 541    VR2W-108163     -5.610733     56.37628             25
+#> 542    VR2W-108163     -5.610733     56.37628             25
+#> 543    VR2W-120722     -5.602283     56.37748             25
+#> 544    VR2W-120722     -5.602283     56.37748             25
+#> 545    VR2W-120722     -5.602283     56.37748             25
+#> 546    VR2W-108163     -5.610733     56.37628             25
+#> 547    VR2W-108163     -5.610733     56.37628             25
+#> 548    VR2W-108163     -5.610733     56.37628             25
+#> 549    VR2W-108163     -5.610733     56.37628             25
+#> 550    VR2W-108163     -5.610733     56.37628             25
+#> 551    VR2W-108163     -5.610733     56.37628             25
+#> 552    VR2W-108163     -5.610733     56.37628             25
+#> 553    VR2W-108163     -5.610733     56.37628             25
+#> 554    VR2W-108163     -5.610733     56.37628             25
+#> 555    VR2W-108163     -5.610733     56.37628             25
+#> 556    VR2W-108163     -5.610733     56.37628             25
+#> 557    VR2W-108163     -5.610733     56.37628             25
+#> 558    VR2W-108163     -5.610733     56.37628             25
+#> 559    VR2W-108163     -5.610733     56.37628             25
+#> 560    VR2W-108163     -5.610733     56.37628             25
+#> 561    VR2W-108163     -5.610733     56.37628             25
+#> 562    VR2W-108163     -5.610733     56.37628             25
+#> 563    VR2W-108163     -5.610733     56.37628             25
+#> 564    VR2W-108163     -5.610733     56.37628             25
+#> 565    VR2W-108163     -5.610733     56.37628             25
+#> 566    VR2W-108163     -5.610733     56.37628             25
+#> 567    VR2W-108163     -5.610733     56.37628             25
+#> 568    VR2W-108163     -5.610733     56.37628             25
+#> 569    VR2W-108163     -5.610733     56.37628             25
+#> 570    VR2W-108163     -5.610733     56.37628             25
+#> 571    VR2W-108163     -5.610733     56.37628             25
+#> 572    VR2W-108163     -5.610733     56.37628             25
+#> 573    VR2W-108163     -5.610733     56.37628             25
+#> 574    VR2W-108163     -5.610733     56.37628             25
+#> 575    VR2W-108163     -5.610733     56.37628             25
+#> 576    VR2W-108163     -5.610733     56.37628             25
+#> 577    VR2W-108163     -5.610733     56.37628             25
+#> 578    VR2W-108163     -5.610733     56.37628             25
+#> 579    VR2W-108163     -5.610733     56.37628             25
+#> 580    VR2W-120722     -5.602283     56.37748             25
+#> 581    VR2W-108163     -5.610733     56.37628             25
+#> 582    VR2W-108163     -5.610733     56.37628             25
+#> 583    VR2W-108163     -5.610733     56.37628             25
+#> 584    VR2W-108163     -5.610733     56.37628             25
+#> 585    VR2W-108163     -5.610733     56.37628             25
+#> 586    VR2W-120722     -5.602283     56.37748             25
+#> 587    VR2W-108163     -5.610733     56.37628             25
+#> 588    VR2W-108163     -5.610733     56.37628             25
+#> 589    VR2W-120722     -5.602283     56.37748             25
+#> 590    VR2W-108163     -5.610733     56.37628             25
+#> 591    VR2W-113142     -5.634833     56.37502             50
+#> 592    VR2W-108163     -5.610733     56.37628             25
+#> 593    VR2W-108163     -5.610733     56.37628             25
+#> 594    VR2W-108163     -5.610733     56.37628             25
+#> 595    VR2W-108163     -5.610733     56.37628             25
+#> 596    VR2W-108163     -5.610733     56.37628             25
+#> 597    VR2W-108163     -5.610733     56.37628             25
+#> 598    VR2W-108163     -5.610733     56.37628             25
+#> 599    VR2W-108163     -5.610733     56.37628             25
+#> 600    VR2W-108163     -5.610733     56.37628             25
+#> 601    VR2W-108163     -5.610733     56.37628             25
+#> 602    VR2W-108163     -5.610733     56.37628             25
+#> 603    VR2W-108163     -5.610733     56.37628             25
+#> 604    VR2W-108163     -5.610733     56.37628             25
+#> 605    VR2W-108163     -5.610733     56.37628             25
+#> 606    VR2W-108163     -5.610733     56.37628             25
+#> 607    VR2W-108163     -5.610733     56.37628             25
+#> 608    VR2W-108163     -5.610733     56.37628             25
+#> 609    VR2W-108163     -5.610733     56.37628             25
+#> 610    VR2W-108163     -5.610733     56.37628             25
+#> 611    VR2W-108163     -5.610733     56.37628             25
+#> 612    VR2W-108163     -5.610733     56.37628             25
+#> 613    VR2W-120722     -5.602283     56.37748             25
+#> 614    VR2W-120722     -5.602283     56.37748             25
+#> 615    VR2W-120722     -5.602283     56.37748             25
+#> 616    VR2W-120722     -5.602283     56.37748             25
+#> 617    VR2W-120722     -5.602283     56.37748             25
+#> 618    VR2W-108163     -5.610733     56.37628             25
+#> 619    VR2W-108163     -5.610733     56.37628             25
+#> 620    VR2W-108163     -5.610733     56.37628             25
+#> 621    VR2W-108163     -5.610733     56.37628             25
+#> 622    VR2W-108163     -5.610733     56.37628             25
+#> 623    VR2W-108163     -5.610733     56.37628             25
+#> 624    VR2W-108163     -5.610733     56.37628             25
+#> 625    VR2W-108163     -5.610733     56.37628             25
+#> 626    VR2W-108163     -5.610733     56.37628             25
+#> 627    VR2W-108163     -5.610733     56.37628             25
+#> 628    VR2W-108163     -5.610733     56.37628             25
+#> 629    VR2W-108163     -5.610733     56.37628             25
+#> 630    VR2W-108163     -5.610733     56.37628             25
+#> 631    VR2W-108163     -5.610733     56.37628             25
+#> 632    VR2W-108163     -5.610733     56.37628             25
+#> 633    VR2W-108163     -5.610733     56.37628             25
+#> 634    VR2W-108163     -5.610733     56.37628             25
+#> 635    VR2W-108163     -5.610733     56.37628             25
+#> 636    VR2W-108163     -5.610733     56.37628             25
+#> 637    VR2W-108163     -5.610733     56.37628             25
+#> 638    VR2W-108163     -5.610733     56.37628             25
+#> 639    VR2W-120722     -5.602283     56.37748             25
+#> 640    VR2W-108163     -5.610733     56.37628             25
+#> 641    VR2W-120722     -5.602283     56.37748             25
+#> 642    VR2W-108163     -5.610733     56.37628             25
+#> 643    VR2W-108163     -5.610733     56.37628             25
+#> 644    VR2W-108163     -5.610733     56.37628             25
+#> 645    VR2W-108163     -5.610733     56.37628             25
+#> 646    VR2W-108163     -5.610733     56.37628             25
+#> 647    VR2W-108163     -5.610733     56.37628             25
+#> 648    VR2W-108163     -5.610733     56.37628             25
+#> 649    VR2W-108163     -5.610733     56.37628             25
+#> 650    VR2W-120722     -5.602283     56.37748             25
+#> 651    VR2W-120722     -5.602283     56.37748             25
+#> 652    VR2W-120722     -5.602283     56.37748             25
+#> 653    VR2W-120722     -5.602283     56.37748             25
+#> 654    VR2W-120722     -5.602283     56.37748             25
+#> 655    VR2W-120722     -5.602283     56.37748             25
+#> 656    VR2W-120722     -5.602283     56.37748             25
+#> 657    VR2W-120722     -5.602283     56.37748             25
+#> 658    VR2W-120722     -5.602283     56.37748             25
+#> 659    VR2W-120722     -5.602283     56.37748             25
+#> 660    VR2W-120722     -5.602283     56.37748             25
+#> 661    VR2W-120722     -5.602283     56.37748             25
+#> 662    VR2W-120722     -5.602283     56.37748             25
+#> 663    VR2W-120722     -5.602283     56.37748             25
+#> 664    VR2W-120722     -5.602283     56.37748             25
+#> 665    VR2W-120722     -5.602283     56.37748             25
+#> 666    VR2W-120722     -5.602283     56.37748             25
+#> 667    VR2W-108163     -5.610733     56.37628             25
+#> 668    VR2W-108163     -5.610733     56.37628             25
+#> 669    VR2W-108163     -5.610733     56.37628             25
+#> 670    VR2W-108163     -5.610733     56.37628             25
+#> 671    VR2W-108163     -5.610733     56.37628             25
+#> 672    VR2W-108163     -5.610733     56.37628             25
+#> 673    VR2W-108163     -5.610733     56.37628             25
+#> 674    VR2W-108163     -5.610733     56.37628             25
+#> 675    VR2W-108163     -5.610733     56.37628             25
+#> 676    VR2W-108163     -5.610733     56.37628             25
+#> 677    VR2W-108163     -5.610733     56.37628             25
+#> 678    VR2W-108163     -5.610733     56.37628             25
+#> 679    VR2W-108163     -5.610733     56.37628             25
+#> 680    VR2W-108163     -5.610733     56.37628             25
+#> 681    VR2W-107823     -5.691883     56.49690             25
+#> 682    VR2W-107823     -5.691883     56.49690             25
+#> 683    VR2W-107823     -5.691883     56.49690             25
+#> 684    VR2W-107823     -5.691883     56.49690             25
+#> 685    VR2W-107823     -5.691883     56.49690             25
+#> 686    VR2W-107823     -5.691883     56.49690             25
+#> 687    VR2W-107823     -5.691883     56.49690             25
+#> 688    VR2W-107823     -5.691883     56.49690             25
+#> 689    VR2W-107823     -5.691883     56.49690             25
+#> 690    VR2W-107823     -5.691883     56.49690             25
+#> 691    VR2W-107823     -5.691883     56.49690             25
+#> 692    VR2W-107823     -5.691883     56.49690             25
+#> 693    VR2W-107823     -5.691883     56.49690             25
+#> 694    VR2W-107823     -5.691883     56.49690             25
+#> 695    VR2W-107823     -5.691883     56.49690             25
+#> 696    VR2W-107823     -5.691883     56.49690             25
+#> 697    VR2W-107823     -5.691883     56.49690             25
+#> 698    VR2W-107823     -5.691883     56.49690             25
+#> 699    VR2W-107823     -5.691883     56.49690             25
+#> 700    VR2W-107823     -5.691883     56.49690             25
+#> 701    VR2W-107823     -5.691883     56.49690             25
+#> 702    VR2W-107823     -5.691883     56.49690             25
+#> 703    VR2W-107823     -5.691883     56.49690             25
+#> 704    VR2W-107823     -5.691883     56.49690             25
+#> 705    VR2W-107823     -5.691883     56.49690             25
+#> 706    VR2W-107823     -5.691883     56.49690             25
+#> 707    VR2W-107823     -5.691883     56.49690             25
+#> 708    VR2W-107823     -5.691883     56.49690             25
+#> 709    VR2W-107823     -5.691883     56.49690             25
+#> 710    VR2W-107823     -5.691883     56.49690             25
+#> 711    VR2W-107823     -5.691883     56.49690             25
+#> 712    VR2W-107823     -5.691883     56.49690             25
+#> 713    VR2W-107823     -5.691883     56.49690             25
+#> 714    VR2W-107823     -5.691883     56.49690             25
+#> 715    VR2W-107823     -5.691883     56.49690             25
+#> 716    VR2W-107823     -5.691883     56.49690             25
+#> 717    VR2W-107823     -5.691883     56.49690             25
+#> 718    VR2W-107823     -5.691883     56.49690             25
+#> 719    VR2W-107823     -5.691883     56.49690             25
+#> 720    VR2W-107823     -5.691883     56.49690             25
+#> 721    VR2W-107823     -5.691883     56.49690             25
+#> 722    VR2W-107823     -5.691883     56.49690             25
+#> 723    VR2W-107823     -5.691883     56.49690             25
+#> 724    VR2W-107823     -5.691883     56.49690             25
+#> 725    VR2W-107823     -5.691883     56.49690             25
+#> 726    VR2W-107823     -5.691883     56.49690             25
+#> 727    VR2W-107823     -5.691883     56.49690             25
+#> 728    VR2W-107823     -5.691883     56.49690             25
+#> 729    VR2W-107823     -5.691883     56.49690             25
+#> 730    VR2W-107823     -5.691883     56.49690             25
+#> 731    VR2W-107823     -5.691883     56.49690             25
+#> 732    VR2W-107823     -5.691883     56.49690             25
+#> 733    VR2W-107823     -5.691883     56.49690             25
+#> 734    VR2W-107823     -5.691883     56.49690             25
+#> 735    VR2W-107823     -5.691883     56.49690             25
+#> 736    VR2W-107823     -5.691883     56.49690             25
+#> 737    VR2W-107823     -5.691883     56.49690             25
+#> 738    VR2W-107823     -5.691883     56.49690             25
+#> 739    VR2W-107823     -5.691883     56.49690             25
+#> 740    VR2W-107823     -5.691883     56.49690             25
+#> 741    VR2W-107823     -5.691883     56.49690             25
+#> 742    VR2W-107823     -5.691883     56.49690             25
+#> 743    VR2W-107823     -5.691883     56.49690             25
+#> 744    VR2W-107823     -5.691883     56.49690             25
+#> 745    VR2W-107823     -5.691883     56.49690             25
+#> 746    VR2W-107823     -5.691883     56.49690             25
+#> 747    VR2W-107823     -5.691883     56.49690             25
+#> 748    VR2W-107823     -5.691883     56.49690             25
+#> 749    VR2W-107823     -5.691883     56.49690             25
+#> 750    VR2W-107823     -5.691883     56.49690             25
+#> 751    VR2W-107823     -5.691883     56.49690             25
+#> 752    VR2W-107823     -5.691883     56.49690             25
+#> 753    VR2W-107823     -5.691883     56.49690             25
+#> 754    VR2W-107823     -5.691883     56.49690             25
+#> 755    VR2W-107823     -5.691883     56.49690             25
+#> 756    VR2W-107823     -5.691883     56.49690             25
+#> 757    VR2W-107823     -5.691883     56.49690             25
+#> 758    VR2W-107823     -5.691883     56.49690             25
+#> 759    VR2W-107823     -5.691883     56.49690             25
+#> 760    VR2W-107823     -5.691883     56.49690             25
+#> 761    VR2W-107823     -5.691883     56.49690             25
+#> 762    VR2W-107823     -5.691883     56.49690             25
+#> 763    VR2W-107823     -5.691883     56.49690             25
+#> 764    VR2W-107823     -5.691883     56.49690             25
+#> 765    VR2W-107823     -5.691883     56.49690             25
+#> 766    VR2W-107823     -5.691883     56.49690             25
+#> 767    VR2W-107823     -5.691883     56.49690             25
+#> 768    VR2W-107823     -5.691883     56.49690             25
+#> 769    VR2W-107823     -5.691883     56.49690             25
+#> 770    VR2W-107823     -5.691883     56.49690             25
+#> 771    VR2W-107823     -5.691883     56.49690             25
+#> 772    VR2W-107823     -5.691883     56.49690             25
+#> 773    VR2W-107823     -5.691883     56.49690             25
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+#> 775    VR2W-108163     -5.610733     56.37628             25
+#> 776    VR2W-108163     -5.610733     56.37628             25
+#> 777    VR2W-108163     -5.610733     56.37628             25
+#> 778    VR2W-108163     -5.610733     56.37628             25
+#> 779    VR2W-108163     -5.610733     56.37628             25
+#> 780    VR2W-108163     -5.610733     56.37628             25
+#> 781    VR2W-108163     -5.610733     56.37628             25
+#> 782    VR2W-108163     -5.610733     56.37628             25
+#> 783    VR2W-107823     -5.691883     56.49690             25
+#> 784    VR2W-107823     -5.691883     56.49690             25
+#> 785    VR2W-107823     -5.691883     56.49690             25
+#> 786    VR2W-107823     -5.691883     56.49690             25
+#> 787    VR2W-107823     -5.691883     56.49690             25
+#> 788    VR2W-107823     -5.691883     56.49690             25
+#> 789    VR2W-107823     -5.691883     56.49690             25
+#> 790    VR2W-107823     -5.691883     56.49690             25
+#> 791    VR2W-107823     -5.691883     56.49690             25
+#> 792    VR2W-107823     -5.691883     56.49690             25
+#> 793    VR2W-107823     -5.691883     56.49690             25
+#> 794    VR2W-107823     -5.691883     56.49690             25
+#> 795    VR2W-107823     -5.691883     56.49690             25
+#> 796    VR2W-107823     -5.691883     56.49690             25
+#> 797    VR2W-107823     -5.691883     56.49690             25
+#> 798    VR2W-107823     -5.691883     56.49690             25
+#> 799    VR2W-107823     -5.691883     56.49690             25
+#> 800    VR2W-107823     -5.691883     56.49690             25
+#> 801    VR2W-107823     -5.691883     56.49690             25
+#> 802    VR2W-107823     -5.691883     56.49690             25
+#> 803    VR2W-107823     -5.691883     56.49690             25
+#> 804    VR2W-107823     -5.691883     56.49690             25
+#> 805    VR2W-107823     -5.691883     56.49690             25
+#> 806    VR2W-107823     -5.691883     56.49690             25
+#> 807    VR2W-107823     -5.691883     56.49690             25
+#> 808    VR2W-107823     -5.691883     56.49690             25
+#> 809    VR2W-107823     -5.691883     56.49690             25
+#> 810    VR2W-107823     -5.691883     56.49690             25
+#> 811    VR2W-107823     -5.691883     56.49690             25
+#> 812    VR2W-107823     -5.691883     56.49690             25
+#> 813    VR2W-107823     -5.691883     56.49690             25
+#> 814    VR2W-107823     -5.691883     56.49690             25
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+#> 817    VR2W-107823     -5.691883     56.49690             25
+#> 818    VR2W-107823     -5.691883     56.49690             25
+#> 819    VR2W-107823     -5.691883     56.49690             25
+#> 820    VR2W-107823     -5.691883     56.49690             25
+#> 821    VR2W-107823     -5.691883     56.49690             25
+#> 822    VR2W-107823     -5.691883     56.49690             25
+#> 823    VR2W-107823     -5.691883     56.49690             25
+#> 824    VR2W-107823     -5.691883     56.49690             25
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+#> 834    VR2W-107823     -5.691883     56.49690             25
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+#> 839    VR2W-108160     -5.704867     56.48890             25
+#> 840    VR2W-108160     -5.704867     56.48890             25
+#> 841    VR2W-108160     -5.704867     56.48890             25
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+#> 847    VR2W-107823     -5.691883     56.49690             25
+#> 848    VR2W-107823     -5.691883     56.49690             25
+#> 849    VR2W-107823     -5.691883     56.49690             25
+#> 850    VR2W-107823     -5.691883     56.49690             25
+#> 851    VR2W-107823     -5.691883     56.49690             25
+#> 852    VR2W-107823     -5.691883     56.49690             25
+#> 853    VR2W-107823     -5.691883     56.49690             25
+#> 854    VR2W-107823     -5.691883     56.49690             25
+#> 855    VR2W-107823     -5.691883     56.49690             25
+#> 856    VR2W-107823     -5.691883     56.49690             25
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+#> 860    VR2W-107823     -5.691883     56.49690             25
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+#> 862    VR2W-107823     -5.691883     56.49690             25
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+#> 864    VR2W-107823     -5.691883     56.49690             25
+#> 865    VR2W-107823     -5.691883     56.49690             25
+#> 866    VR2W-107823     -5.691883     56.49690             25
+#> 867    VR2W-107823     -5.691883     56.49690             25
+#> 868    VR2W-107823     -5.691883     56.49690             25
+#> 869    VR2W-107823     -5.691883     56.49690             25
+#> 870    VR2W-107823     -5.691883     56.49690             25
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+#> 875    VR2W-108160     -5.704867     56.48890             25
+#> 876    VR2W-108160     -5.704867     56.48890             25
+#> 877    VR2W-108160     -5.704867     56.48890             25
+#> 878    VR2W-108160     -5.704867     56.48890             25
+#> 879    VR2W-108160     -5.704867     56.48890             25
+#> 880    VR2W-108160     -5.704867     56.48890             25
+#> 881    VR2W-108160     -5.704867     56.48890             25
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+#> 883    VR2W-108160     -5.704867     56.48890             25
+#> 884    VR2W-108160     -5.704867     56.48890             25
+#> 885    VR2W-108160     -5.704867     56.48890             25
+#> 886    VR2W-108160     -5.704867     56.48890             25
+#> 887    VR2W-108160     -5.704867     56.48890             25
+#> 888    VR2W-108160     -5.704867     56.48890             25
+#> 889    VR2W-108160     -5.704867     56.48890             25
+#> 890    VR2W-108160     -5.704867     56.48890             25
+#> 891    VR2W-108160     -5.704867     56.48890             25
+#> 892    VR2W-108160     -5.704867     56.48890             25
+#> 893    VR2W-108160     -5.704867     56.48890             25
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+#> 898    VR2W-108160     -5.704867     56.48890             25
+#> 899    VR2W-108160     -5.704867     56.48890             25
+#> 900    VR2W-108160     -5.704867     56.48890             25
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+#> 902    VR2W-108160     -5.704867     56.48890             25
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+#> 922    VR2W-107823     -5.691883     56.49690             25
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+#> 999    VR2W-107823     -5.691883     56.49690             25
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+#> 1001   VR2W-107823     -5.691883     56.49690             25
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+#> 1024   VR2W-107823     -5.691883     56.49690             25
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+#> 1059   VR2W-107823     -5.691883     56.49690             25
+#> 1060   VR2W-107823     -5.691883     56.49690             25
+#> 1061   VR2W-107823     -5.691883     56.49690             25
+#> 1062   VR2W-107823     -5.691883     56.49690             25
+#> 1063   VR2W-107823     -5.691883     56.49690             25
+#> 1064   VR2W-107823     -5.691883     56.49690             25
+#> 1065   VR2W-107823     -5.691883     56.49690             25
+#> 1066   VR2W-107823     -5.691883     56.49690             25
+#> 1067   VR2W-107823     -5.691883     56.49690             25
+#> 1068   VR2W-107823     -5.691883     56.49690             25
+#> 1069   VR2W-107823     -5.691883     56.49690             25
+#> 1070   VR2W-107823     -5.691883     56.49690             25
+#> 1071   VR2W-107823     -5.691883     56.49690             25
+#> 1072   VR2W-107823     -5.691883     56.49690             25
+#> 1073   VR2W-107823     -5.691883     56.49690             25
+#> 1074   VR2W-107823     -5.691883     56.49690             25
+#> 1075   VR2W-107823     -5.691883     56.49690             25
+#> 1076   VR2W-107823     -5.691883     56.49690             25
+#> 1077   VR2W-107823     -5.691883     56.49690             25
+#> 1078   VR2W-107823     -5.691883     56.49690             25
+#> 1079   VR2W-107823     -5.691883     56.49690             25
+#> 1080   VR2W-107823     -5.691883     56.49690             25
+#> 1081   VR2W-107823     -5.691883     56.49690             25
+#> 1082   VR2W-107823     -5.691883     56.49690             25
+#> 1083   VR2W-107823     -5.691883     56.49690             25
+#> 1084   VR2W-107823     -5.691883     56.49690             25
+#> 1085   VR2W-107823     -5.691883     56.49690             25
+#> 1086   VR2W-107823     -5.691883     56.49690             25
+#> 1087   VR2W-107823     -5.691883     56.49690             25
+#> 1088   VR2W-107823     -5.691883     56.49690             25
+#> 1089   VR2W-107823     -5.691883     56.49690             25
+#> 1090   VR2W-107823     -5.691883     56.49690             25
+#> 1091   VR2W-107823     -5.691883     56.49690             25
+#> 1092   VR2W-107823     -5.691883     56.49690             25
+#> 1093   VR2W-107823     -5.691883     56.49690             25
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+#> 1096   VR2W-107823     -5.691883     56.49690             25
+#> 1097   VR2W-107823     -5.691883     56.49690             25
+#> 1098   VR2W-107823     -5.691883     56.49690             25
+#> 1099   VR2W-107823     -5.691883     56.49690             25
+#> 1100   VR2W-107823     -5.691883     56.49690             25
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+#> 1106   VR2W-107823     -5.691883     56.49690             25
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+#> 1116   VR2W-107823     -5.691883     56.49690             25
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+#> 1123   VR2W-107823     -5.691883     56.49690             25
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+#> 1128   VR2W-107823     -5.691883     56.49690             25
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+#> 1160   VR2W-107823     -5.691883     56.49690             25
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+#> 1340   VR2W-107823     -5.691883     56.49690             25
+#> 1341   VR2W-107823     -5.691883     56.49690             25
+#> 1342   VR2W-107823     -5.691883     56.49690             25
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+#> 1344   VR2W-107823     -5.691883     56.49690             25
+#> 1345   VR2W-107823     -5.691883     56.49690             25
+#> 1346   VR2W-107823     -5.691883     56.49690             25
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+#> 1348   VR2W-107823     -5.691883     56.49690             25
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+#> 1350   VR2W-107823     -5.691883     56.49690             25
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+#> 1354   VR2W-107823     -5.691883     56.49690             25
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+#> 1358   VR2W-107823     -5.691883     56.49690             25
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+#> 1360   VR2W-107823     -5.691883     56.49690             25
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+#> 1364   VR2W-107823     -5.691883     56.49690             25
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+#> 1618   VR2W-107823     -5.691883     56.49690             25
+#> 1619   VR2W-107823     -5.691883     56.49690             25
+#> 1620   VR2W-107823     -5.691883     56.49690             25
+#> 1621   VR2W-107823     -5.691883     56.49690             25
+#> 1622   VR2W-107823     -5.691883     56.49690             25
+#> 1623   VR2W-107823     -5.691883     56.49690             25
+#> 1624   VR2W-107823     -5.691883     56.49690             25
+#> 1625   VR2W-107823     -5.691883     56.49690             25
+#> 1626   VR2W-107823     -5.691883     56.49690             25
+#> 1627   VR2W-107823     -5.691883     56.49690             25
+#> 1628   VR2W-107823     -5.691883     56.49690             25
+#> 1629   VR2W-107823     -5.691883     56.49690             25
+#> 1630   VR2W-107823     -5.691883     56.49690             25
+#> 1631   VR2W-107823     -5.691883     56.49690             25
+#> 1632   VR2W-107823     -5.691883     56.49690             25
+#> 1633   VR2W-107823     -5.691883     56.49690             25
+#> 1634   VR2W-107823     -5.691883     56.49690             25
+#> 1635   VR2W-107823     -5.691883     56.49690             25
+#> 1636   VR2W-107823     -5.691883     56.49690             25
+#> 1637   VR2W-107823     -5.691883     56.49690             25
+#> 1638   VR2W-107823     -5.691883     56.49690             25
+#> 1639   VR2W-107823     -5.691883     56.49690             25
+#> 1640   VR2W-107823     -5.691883     56.49690             25
+#> 1641   VR2W-107823     -5.691883     56.49690             25
+#> 1642   VR2W-107823     -5.691883     56.49690             25
+#> 1643   VR2W-107823     -5.691883     56.49690             25
+#> 1644   VR2W-107823     -5.691883     56.49690             25
+#> 1645   VR2W-107823     -5.691883     56.49690             25
+#> 1646   VR2W-107823     -5.691883     56.49690             25
+#> 1647   VR2W-107823     -5.691883     56.49690             25
+#> 1648   VR2W-107823     -5.691883     56.49690             25
+#> 1649   VR2W-107823     -5.691883     56.49690             25
+#> 1650   VR2W-107823     -5.691883     56.49690             25
+#> 1651   VR2W-107823     -5.691883     56.49690             25
+#> 1652   VR2W-107823     -5.691883     56.49690             25
+#> 1653   VR2W-107823     -5.691883     56.49690             25
+#> 1654   VR2W-107823     -5.691883     56.49690             25
+#> 1655   VR2W-107823     -5.691883     56.49690             25
+#> 1656   VR2W-107823     -5.691883     56.49690             25
+#> 1657   VR2W-107823     -5.691883     56.49690             25
+#> 1658   VR2W-107823     -5.691883     56.49690             25
+#> 1659   VR2W-107823     -5.691883     56.49690             25
+#> 1660   VR2W-107823     -5.691883     56.49690             25
+#> 1661   VR2W-107823     -5.691883     56.49690             25
+#> 1662   VR2W-107823     -5.691883     56.49690             25
+#> 1663   VR2W-107823     -5.691883     56.49690             25
+#> 1664   VR2W-107823     -5.691883     56.49690             25
+#> 1665   VR2W-107823     -5.691883     56.49690             25
+#> 1666   VR2W-107823     -5.691883     56.49690             25
+#> 1667   VR2W-107823     -5.691883     56.49690             25
+#> 1668   VR2W-107823     -5.691883     56.49690             25
+#> 1669   VR2W-107823     -5.691883     56.49690             25
+#> 1670   VR2W-107823     -5.691883     56.49690             25
+#> 1671   VR2W-107823     -5.691883     56.49690             25
+#> 1672   VR2W-107823     -5.691883     56.49690             25
+#> 1673   VR2W-107823     -5.691883     56.49690             25
+#> 1674   VR2W-107823     -5.691883     56.49690             25
+#> 1675   VR2W-107823     -5.691883     56.49690             25
+#> 1676   VR2W-107823     -5.691883     56.49690             25
+#> 1677   VR2W-107823     -5.691883     56.49690             25
+#> 1678   VR2W-107823     -5.691883     56.49690             25
+#> 1679   VR2W-107823     -5.691883     56.49690             25
+#> 1680   VR2W-107823     -5.691883     56.49690             25
+#> 1681   VR2W-107823     -5.691883     56.49690             25
+#> 1682   VR2W-107823     -5.691883     56.49690             25
+#> 1683   VR2W-107823     -5.691883     56.49690             25
+#> 1684   VR2W-107823     -5.691883     56.49690             25
+#> 1685   VR2W-107823     -5.691883     56.49690             25
+#> 1686   VR2W-107823     -5.691883     56.49690             25
+#> 1687   VR2W-107823     -5.691883     56.49690             25
+#> 1688   VR2W-107823     -5.691883     56.49690             25
+#> 1689   VR2W-107823     -5.691883     56.49690             25
+#> 1690   VR2W-107823     -5.691883     56.49690             25
+#> 1691   VR2W-107823     -5.691883     56.49690             25
+#> 1692   VR2W-107823     -5.691883     56.49690             25
+#> 1693   VR2W-107823     -5.691883     56.49690             25
+#> 1694   VR2W-107823     -5.691883     56.49690             25
+#> 1695   VR2W-107823     -5.691883     56.49690             25
+#> 1696   VR2W-107823     -5.691883     56.49690             25
+#> 1697   VR2W-107823     -5.691883     56.49690             25
+#> 1698   VR2W-107823     -5.691883     56.49690             25
+#> 1699   VR2W-107823     -5.691883     56.49690             25
+#> 1700   VR2W-107823     -5.691883     56.49690             25
+#> 1701   VR2W-107823     -5.691883     56.49690             25
+#> 1702   VR2W-107823     -5.691883     56.49690             25
+#> 1703   VR2W-107823     -5.691883     56.49690             25
+#> 1704   VR2W-107823     -5.691883     56.49690             25
+#> 1705   VR2W-107823     -5.691883     56.49690             25
+#> 1706   VR2W-107823     -5.691883     56.49690             25
+#> 1707   VR2W-107823     -5.691883     56.49690             25
+#> 1708   VR2W-107823     -5.691883     56.49690             25
+#> 1709   VR2W-107823     -5.691883     56.49690             25
+#> 1710   VR2W-107823     -5.691883     56.49690             25
+#> 1711   VR2W-107823     -5.691883     56.49690             25
+#> 1712   VR2W-107823     -5.691883     56.49690             25
+#> 1713   VR2W-107823     -5.691883     56.49690             25
+#> 1714   VR2W-107823     -5.691883     56.49690             25
+#> 1715   VR2W-107823     -5.691883     56.49690             25
+#> 1716   VR2W-107823     -5.691883     56.49690             25
+#> 1717   VR2W-107823     -5.691883     56.49690             25
+#> 1718   VR2W-107823     -5.691883     56.49690             25
+#> 1719   VR2W-107823     -5.691883     56.49690             25
+#> 1720   VR2W-107823     -5.691883     56.49690             25
+#> 1721   VR2W-107823     -5.691883     56.49690             25
+#> 1722   VR2W-107823     -5.691883     56.49690             25
+#> 1723   VR2W-107823     -5.691883     56.49690             25
+#> 1724   VR2W-107823     -5.691883     56.49690             25
+#> 1725   VR2W-107823     -5.691883     56.49690             25
+#> 1726   VR2W-107823     -5.691883     56.49690             25
+#> 1727   VR2W-107823     -5.691883     56.49690             25
+#> 1728   VR2W-107823     -5.691883     56.49690             25
+#> 1729   VR2W-107823     -5.691883     56.49690             25
+#> 1730   VR2W-107823     -5.691883     56.49690             25
+#> 1731   VR2W-107823     -5.691883     56.49690             25
+#> 1732   VR2W-107823     -5.691883     56.49690             25
+#> 1733   VR2W-107823     -5.691883     56.49690             25
+#> 1734   VR2W-107823     -5.691883     56.49690             25
+#> 1735   VR2W-107823     -5.691883     56.49690             25
+#> 1736   VR2W-107823     -5.691883     56.49690             25
+#> 1737   VR2W-107823     -5.691883     56.49690             25
+#> 1738   VR2W-107823     -5.691883     56.49690             25
+#> 1739   VR2W-107823     -5.691883     56.49690             25
+#> 1740   VR2W-107823     -5.691883     56.49690             25
+#> 1741   VR2W-107823     -5.691883     56.49690             25
+#> 1742   VR2W-107823     -5.691883     56.49690             25
+#> 1743   VR2W-107823     -5.691883     56.49690             25
+#> 1744   VR2W-107823     -5.691883     56.49690             25
+#> 1745   VR2W-107823     -5.691883     56.49690             25
+#> 1746   VR2W-107823     -5.691883     56.49690             25
+#> 1747   VR2W-107823     -5.691883     56.49690             25
+#> 1748   VR2W-107823     -5.691883     56.49690             25
+#> 1749   VR2W-107823     -5.691883     56.49690             25
+#> 1750   VR2W-107823     -5.691883     56.49690             25
+#> 1751   VR2W-107823     -5.691883     56.49690             25
+#> 1752   VR2W-107823     -5.691883     56.49690             25
+#> 1753   VR2W-107823     -5.691883     56.49690             25
+#> 1754   VR2W-107823     -5.691883     56.49690             25
+#> 1755   VR2W-107823     -5.691883     56.49690             25
+#> 1756   VR2W-107823     -5.691883     56.49690             25
+#> 1757   VR2W-107823     -5.691883     56.49690             25
+#> 1758   VR2W-107823     -5.691883     56.49690             25
+#> 1759   VR2W-107823     -5.691883     56.49690             25
+#> 1760   VR2W-107823     -5.691883     56.49690             25
+#> 1761   VR2W-107823     -5.691883     56.49690             25
+#> 1762   VR2W-107823     -5.691883     56.49690             25
+#> 1763   VR2W-107823     -5.691883     56.49690             25
+#> 1764   VR2W-107823     -5.691883     56.49690             25
+#> 1765   VR2W-107823     -5.691883     56.49690             25
+#> 1766   VR2W-107823     -5.691883     56.49690             25
+#> 1767   VR2W-107823     -5.691883     56.49690             25
+#> 1768   VR2W-107823     -5.691883     56.49690             25
+#> 1769   VR2W-107823     -5.691883     56.49690             25
+#> 1770   VR2W-107823     -5.691883     56.49690             25
+#> 1771   VR2W-107823     -5.691883     56.49690             25
+#> 1772   VR2W-107823     -5.691883     56.49690             25
+#> 1773   VR2W-107823     -5.691883     56.49690             25
+#> 1774   VR2W-107823     -5.691883     56.49690             25
+#> 1775   VR2W-107823     -5.691883     56.49690             25
+#> 1776   VR2W-107823     -5.691883     56.49690             25
+#> 1777   VR2W-107823     -5.691883     56.49690             25
+#> 1778   VR2W-107823     -5.691883     56.49690             25
+#> 1779   VR2W-107823     -5.691883     56.49690             25
+#> 1780   VR2W-107823     -5.691883     56.49690             25
+#> 1781   VR2W-107823     -5.691883     56.49690             25
+#> 1782   VR2W-107823     -5.691883     56.49690             25
+#> 1783   VR2W-107823     -5.691883     56.49690             25
+#> 1784   VR2W-107823     -5.691883     56.49690             25
+#> 1785   VR2W-107823     -5.691883     56.49690             25
+#> 1786   VR2W-107823     -5.691883     56.49690             25
+#> 1787   VR2W-107823     -5.691883     56.49690             25
+#> 1788   VR2W-107823     -5.691883     56.49690             25
+#> 1789   VR2W-107823     -5.691883     56.49690             25
+#> 1790   VR2W-107823     -5.691883     56.49690             25
+#> 1791   VR2W-107823     -5.691883     56.49690             25
+#> 1792   VR2W-107823     -5.691883     56.49690             25
+#> 1793   VR2W-107823     -5.691883     56.49690             25
+#> 1794   VR2W-107823     -5.691883     56.49690             25
+#> 1795   VR2W-107823     -5.691883     56.49690             25
+#> 1796   VR2W-107823     -5.691883     56.49690             25
+#> 1797   VR2W-107823     -5.691883     56.49690             25
+#> 1798   VR2W-107823     -5.691883     56.49690             25
+#> 1799   VR2W-107823     -5.691883     56.49690             25
+#> 1800   VR2W-107823     -5.691883     56.49690             25
+#> 1801   VR2W-107823     -5.691883     56.49690             25
+#> 1802   VR2W-107823     -5.691883     56.49690             25
+#> 1803   VR2W-107823     -5.691883     56.49690             25
+#> 1804   VR2W-107823     -5.691883     56.49690             25
+#> 1805   VR2W-107823     -5.691883     56.49690             25
+#> 1806   VR2W-107823     -5.691883     56.49690             25
+#> 1807   VR2W-107823     -5.691883     56.49690             25
+#> 1808   VR2W-107823     -5.691883     56.49690             25
+#> 1809   VR2W-107823     -5.691883     56.49690             25
+#> 1810   VR2W-107823     -5.691883     56.49690             25
+#> 1811   VR2W-107823     -5.691883     56.49690             25
+#> 1812   VR2W-107823     -5.691883     56.49690             25
+#> 1813   VR2W-107823     -5.691883     56.49690             25
+#> 1814   VR2W-107823     -5.691883     56.49690             25
+#> 1815   VR2W-107823     -5.691883     56.49690             25
+#> 1816   VR2W-107823     -5.691883     56.49690             25
+#> 1817   VR2W-107823     -5.691883     56.49690             25
+#> 1818   VR2W-107823     -5.691883     56.49690             25
+#> 1819   VR2W-107823     -5.691883     56.49690             25
+#> 1820   VR2W-107823     -5.691883     56.49690             25
+#> 1821   VR2W-107823     -5.691883     56.49690             25
+#> 1822   VR2W-107823     -5.691883     56.49690             25
+#> 1823   VR2W-107823     -5.691883     56.49690             25
+#> 1824   VR2W-107823     -5.691883     56.49690             25
+#> 1825   VR2W-107823     -5.691883     56.49690             25
+#> 1826   VR2W-107823     -5.691883     56.49690             25
+#> 1827   VR2W-107823     -5.691883     56.49690             25
+#> 1828   VR2W-107823     -5.691883     56.49690             25
+#> 1829   VR2W-107823     -5.691883     56.49690             25
+#> 1830   VR2W-107823     -5.691883     56.49690             25
+#> 1831   VR2W-107823     -5.691883     56.49690             25
+#> 1832   VR2W-107823     -5.691883     56.49690             25
+#> 1833   VR2W-107823     -5.691883     56.49690             25
+#> 1834   VR2W-107823     -5.691883     56.49690             25
+#> 1835   VR2W-107823     -5.691883     56.49690             25
+#> 1836   VR2W-107823     -5.691883     56.49690             25
+#> 1837   VR2W-107823     -5.691883     56.49690             25
+#> 1838   VR2W-107823     -5.691883     56.49690             25
+#> 1839   VR2W-107823     -5.691883     56.49690             25
+#> 1840   VR2W-107823     -5.691883     56.49690             25
+#> 1841   VR2W-107823     -5.691883     56.49690             25
+#> 1842   VR2W-107823     -5.691883     56.49690             25
+#> 1843   VR2W-107823     -5.691883     56.49690             25
+#> 1844   VR2W-107823     -5.691883     56.49690             25
+#> 1845   VR2W-107823     -5.691883     56.49690             25
+#> 1846   VR2W-107823     -5.691883     56.49690             25
+#> 1847   VR2W-107823     -5.691883     56.49690             25
+#> 1848   VR2W-107823     -5.691883     56.49690             25
+#> 1849   VR2W-107823     -5.691883     56.49690             25
+#> 1850   VR2W-107823     -5.691883     56.49690             25
+#> 1851   VR2W-107823     -5.691883     56.49690             25
+#> 1852   VR2W-107823     -5.691883     56.49690             25
+#> 1853   VR2W-107823     -5.691883     56.49690             25
+#> 1854   VR2W-107823     -5.691883     56.49690             25
+#> 1855   VR2W-107823     -5.691883     56.49690             25
+#> 1856   VR2W-107823     -5.691883     56.49690             25
+#> 1857   VR2W-107823     -5.691883     56.49690             25
+#> 1858   VR2W-107823     -5.691883     56.49690             25
+#> 1859   VR2W-107823     -5.691883     56.49690             25
+#> 1860   VR2W-107823     -5.691883     56.49690             25
+#> 1861   VR2W-107823     -5.691883     56.49690             25
+#> 1862   VR2W-107823     -5.691883     56.49690             25
+#> 1863   VR2W-107823     -5.691883     56.49690             25
+#> 1864   VR2W-107823     -5.691883     56.49690             25
+#> 1865   VR2W-107823     -5.691883     56.49690             25
+#> 1866   VR2W-107823     -5.691883     56.49690             25
+#> 1867   VR2W-107823     -5.691883     56.49690             25
+#> 1868   VR2W-107823     -5.691883     56.49690             25
+#> 1869   VR2W-107823     -5.691883     56.49690             25
+#> 1870   VR2W-107823     -5.691883     56.49690             25
+#> 1871   VR2W-107823     -5.691883     56.49690             25
+#> 1872   VR2W-107823     -5.691883     56.49690             25
+#> 1873   VR2W-107823     -5.691883     56.49690             25
+#> 1874   VR2W-107823     -5.691883     56.49690             25
+#> 1875   VR2W-107823     -5.691883     56.49690             25
+#> 1876   VR2W-107823     -5.691883     56.49690             25
+#> 1877   VR2W-107823     -5.691883     56.49690             25
+#> 1878   VR2W-107823     -5.691883     56.49690             25
+#> 1879   VR2W-107823     -5.691883     56.49690             25
+#> 1880   VR2W-107823     -5.691883     56.49690             25
+#> 1881   VR2W-107823     -5.691883     56.49690             25
+#> 1882   VR2W-107823     -5.691883     56.49690             25
+#> 1883   VR2W-107823     -5.691883     56.49690             25
+#> 1884   VR2W-107823     -5.691883     56.49690             25
+#> 1885   VR2W-107823     -5.691883     56.49690             25
+#> 1886   VR2W-107823     -5.691883     56.49690             25
+#> 1887   VR2W-107823     -5.691883     56.49690             25
+#> 1888   VR2W-107823     -5.691883     56.49690             25
+#> 1889   VR2W-107823     -5.691883     56.49690             25
+#> 1890   VR2W-107823     -5.691883     56.49690             25
+#> 1891   VR2W-107823     -5.691883     56.49690             25
+#> 1892   VR2W-107823     -5.691883     56.49690             25
+#> 1893   VR2W-107823     -5.691883     56.49690             25
+#> 1894   VR2W-107823     -5.691883     56.49690             25
+#> 1895   VR2W-107823     -5.691883     56.49690             25
+#> 1896   VR2W-107823     -5.691883     56.49690             25
+#> 1897   VR2W-107823     -5.691883     56.49690             25
+#> 1898   VR2W-107823     -5.691883     56.49690             25
+#> 1899   VR2W-107823     -5.691883     56.49690             25
+#> 1900   VR2W-107823     -5.691883     56.49690             25
+#> 1901   VR2W-107823     -5.691883     56.49690             25
+#> 1902   VR2W-107823     -5.691883     56.49690             25
+#> 1903   VR2W-107823     -5.691883     56.49690             25
+#> 1904   VR2W-107823     -5.691883     56.49690             25
+#> 1905   VR2W-107823     -5.691883     56.49690             25
+#> 1906   VR2W-107823     -5.691883     56.49690             25
+#> 1907   VR2W-107823     -5.691883     56.49690             25
+#> 1908   VR2W-107823     -5.691883     56.49690             25
+#> 1909   VR2W-107823     -5.691883     56.49690             25
+#> 1910   VR2W-107823     -5.691883     56.49690             25
+#> 1911   VR2W-107823     -5.691883     56.49690             25
+#> 1912   VR2W-107823     -5.691883     56.49690             25
+#> 1913   VR2W-107823     -5.691883     56.49690             25
+#> 1914   VR2W-107823     -5.691883     56.49690             25
+#> 1915   VR2W-107823     -5.691883     56.49690             25
+#> 1916   VR2W-107823     -5.691883     56.49690             25
+#> 1917   VR2W-107823     -5.691883     56.49690             25
+#> 1918   VR2W-107823     -5.691883     56.49690             25
+#> 1919   VR2W-107823     -5.691883     56.49690             25
+#> 1920   VR2W-107823     -5.691883     56.49690             25
+#> 1921   VR2W-107823     -5.691883     56.49690             25
+#> 1922   VR2W-107823     -5.691883     56.49690             25
+#> 1923   VR2W-107823     -5.691883     56.49690             25
+#> 1924   VR2W-107823     -5.691883     56.49690             25
+#> 1925   VR2W-107823     -5.691883     56.49690             25
+#> 1926   VR2W-107823     -5.691883     56.49690             25
+#> 1927   VR2W-107823     -5.691883     56.49690             25
+#> 1928   VR2W-107823     -5.691883     56.49690             25
+#> 1929   VR2W-107823     -5.691883     56.49690             25
+#> 1930   VR2W-107823     -5.691883     56.49690             25
+#> 1931   VR2W-107823     -5.691883     56.49690             25
+#> 1932   VR2W-107823     -5.691883     56.49690             25
+#> 1933   VR2W-107823     -5.691883     56.49690             25
+#> 1934   VR2W-107823     -5.691883     56.49690             25
+#> 1935   VR2W-107823     -5.691883     56.49690             25
+#> 1936   VR2W-107823     -5.691883     56.49690             25
+#> 1937   VR2W-107823     -5.691883     56.49690             25
+#> 1938   VR2W-107823     -5.691883     56.49690             25
+#> 1939   VR2W-107823     -5.691883     56.49690             25
+#> 1940   VR2W-107823     -5.691883     56.49690             25
+#> 1941   VR2W-107823     -5.691883     56.49690             25
+#> 1942   VR2W-107823     -5.691883     56.49690             25
+#> 1943   VR2W-107823     -5.691883     56.49690             25
+#> 1944   VR2W-107823     -5.691883     56.49690             25
+#> 1945   VR2W-107823     -5.691883     56.49690             25
+#> 1946   VR2W-107823     -5.691883     56.49690             25
+#> 1947   VR2W-107823     -5.691883     56.49690             25
+#> 1948   VR2W-107823     -5.691883     56.49690             25
+#> 1949   VR2W-107823     -5.691883     56.49690             25
+#> 1950   VR2W-107823     -5.691883     56.49690             25
+#> 1951   VR2W-107823     -5.691883     56.49690             25
+#> 1952   VR2W-107823     -5.691883     56.49690             25
+#> 1953   VR2W-107823     -5.691883     56.49690             25
+#> 1954   VR2W-107823     -5.691883     56.49690             25
+#> 1955   VR2W-107823     -5.691883     56.49690             25
+#> 1956   VR2W-107823     -5.691883     56.49690             25
+#> 1957   VR2W-107823     -5.691883     56.49690             25
+#> 1958   VR2W-107823     -5.691883     56.49690             25
+#> 1959   VR2W-107823     -5.691883     56.49690             25
+#> 1960   VR2W-107823     -5.691883     56.49690             25
+#> 1961   VR2W-107823     -5.691883     56.49690             25
+#> 1962   VR2W-107823     -5.691883     56.49690             25
+#> 1963   VR2W-107823     -5.691883     56.49690             25
+#> 1964   VR2W-107823     -5.691883     56.49690             25
+#> 1965   VR2W-107823     -5.691883     56.49690             25
+#> 1966   VR2W-107823     -5.691883     56.49690             25
+#> 1967   VR2W-107823     -5.691883     56.49690             25
+#> 1968   VR2W-107823     -5.691883     56.49690             25
+#> 1969   VR2W-107823     -5.691883     56.49690             25
+#> 1970   VR2W-107823     -5.691883     56.49690             25
+#> 1971   VR2W-107823     -5.691883     56.49690             25
+#> 1972   VR2W-107823     -5.691883     56.49690             25
+#> 1973   VR2W-107823     -5.691883     56.49690             25
+#> 1974   VR2W-107823     -5.691883     56.49690             25
+#> 1975   VR2W-107823     -5.691883     56.49690             25
+#> 1976   VR2W-107823     -5.691883     56.49690             25
+#> 1977   VR2W-107823     -5.691883     56.49690             25
+#> 1978   VR2W-107823     -5.691883     56.49690             25
+#> 1979   VR2W-107823     -5.691883     56.49690             25
+#> 1980   VR2W-107823     -5.691883     56.49690             25
+#> 1981   VR2W-107823     -5.691883     56.49690             25
+#> 1982   VR2W-107823     -5.691883     56.49690             25
+#> 1983   VR2W-107823     -5.691883     56.49690             25
+#> 1984   VR2W-107823     -5.691883     56.49690             25
+#> 1985   VR2W-107823     -5.691883     56.49690             25
+#> 1986   VR2W-107823     -5.691883     56.49690             25
+#> 1987   VR2W-107823     -5.691883     56.49690             25
+#> 1988   VR2W-107823     -5.691883     56.49690             25
+#> 1989   VR2W-107823     -5.691883     56.49690             25
+#> 1990   VR2W-107823     -5.691883     56.49690             25
+#> 1991   VR2W-107823     -5.691883     56.49690             25
+#> 1992   VR2W-107823     -5.691883     56.49690             25
+#> 1993   VR2W-107823     -5.691883     56.49690             25
+#> 1994   VR2W-107823     -5.691883     56.49690             25
+#> 1995   VR2W-107823     -5.691883     56.49690             25
+#> 1996   VR2W-107823     -5.691883     56.49690             25
+#> 1997   VR2W-107823     -5.691883     56.49690             25
+#> 1998   VR2W-107823     -5.691883     56.49690             25
+#> 1999   VR2W-107823     -5.691883     56.49690             25
+#> 2000   VR2W-107823     -5.691883     56.49690             25
+#> 2001   VR2W-107823     -5.691883     56.49690             25
+#> 2002   VR2W-107823     -5.691883     56.49690             25
+#> 2003   VR2W-107823     -5.691883     56.49690             25
+#> 2004   VR2W-107823     -5.691883     56.49690             25
+#> 2005   VR2W-107823     -5.691883     56.49690             25
+#> 2006   VR2W-107823     -5.691883     56.49690             25
+#> 2007   VR2W-107823     -5.691883     56.49690             25
+#> 2008   VR2W-107823     -5.691883     56.49690             25
+#> 2009   VR2W-107823     -5.691883     56.49690             25
+#> 2010   VR2W-107823     -5.691883     56.49690             25
+#> 2011   VR2W-107823     -5.691883     56.49690             25
+#> 2012   VR2W-107823     -5.691883     56.49690             25
+#> 2013   VR2W-107823     -5.691883     56.49690             25
+#> 2014   VR2W-107823     -5.691883     56.49690             25
+#> 2015   VR2W-107823     -5.691883     56.49690             25
+#> 2016   VR2W-107823     -5.691883     56.49690             25
+#> 2017   VR2W-107823     -5.691883     56.49690             25
+#> 2018   VR2W-107823     -5.691883     56.49690             25
+#> 2019   VR2W-107823     -5.691883     56.49690             25
+#> 2020   VR2W-107823     -5.691883     56.49690             25
+#> 2021   VR2W-107823     -5.691883     56.49690             25
+#> 2022   VR2W-107823     -5.691883     56.49690             25
+#> 2023   VR2W-107823     -5.691883     56.49690             25
+#> 2024   VR2W-107823     -5.691883     56.49690             25
+#> 2025   VR2W-107823     -5.691883     56.49690             25
+#> 2026   VR2W-107823     -5.691883     56.49690             25
+#> 2027   VR2W-107823     -5.691883     56.49690             25
+#> 2028   VR2W-107823     -5.691883     56.49690             25
+#> 2029   VR2W-107823     -5.691883     56.49690             25
+#> 2030   VR2W-107823     -5.691883     56.49690             25
+#> 2031   VR2W-107823     -5.691883     56.49690             25
+#> 2032   VR2W-107823     -5.691883     56.49690             25
+#> 2033   VR2W-107823     -5.691883     56.49690             25
+#> 2034   VR2W-107823     -5.691883     56.49690             25
+#> 2035   VR2W-107823     -5.691883     56.49690             25
+#> 2036   VR2W-107823     -5.691883     56.49690             25
+#> 2037   VR2W-107823     -5.691883     56.49690             25
+#> 2038   VR2W-107823     -5.691883     56.49690             25
+#> 2039   VR2W-107823     -5.691883     56.49690             25
+#> 2040   VR2W-107823     -5.691883     56.49690             25
+#> 2041   VR2W-107823     -5.691883     56.49690             25
+#> 2042   VR2W-107823     -5.691883     56.49690             25
+#> 2043   VR2W-107823     -5.691883     56.49690             25
+#> 2044   VR2W-107823     -5.691883     56.49690             25
+#> 2045   VR2W-107823     -5.691883     56.49690             25
+#> 2046   VR2W-107823     -5.691883     56.49690             25
+#> 2047   VR2W-107823     -5.691883     56.49690             25
+#> 2048   VR2W-107823     -5.691883     56.49690             25
+#> 2049   VR2W-107823     -5.691883     56.49690             25
+#> 2050   VR2W-107823     -5.691883     56.49690             25
+#> 2051   VR2W-107823     -5.691883     56.49690             25
+#> 2052   VR2W-107823     -5.691883     56.49690             25
+#> 2053   VR2W-107823     -5.691883     56.49690             25
+#> 2054   VR2W-107823     -5.691883     56.49690             25
+#> 2055   VR2W-107823     -5.691883     56.49690             25
+#> 2056   VR2W-107823     -5.691883     56.49690             25
+#> 2057   VR2W-107823     -5.691883     56.49690             25
+#> 2058   VR2W-107823     -5.691883     56.49690             25
+#> 2059   VR2W-107823     -5.691883     56.49690             25
+#> 2060   VR2W-107823     -5.691883     56.49690             25
+#> 2061   VR2W-107823     -5.691883     56.49690             25
+#> 2062   VR2W-107823     -5.691883     56.49690             25
+#> 2063   VR2W-107823     -5.691883     56.49690             25
+#> 2064   VR2W-107823     -5.691883     56.49690             25
+#> 2065   VR2W-107823     -5.691883     56.49690             25
+#> 2066   VR2W-107823     -5.691883     56.49690             25
+#> 2067   VR2W-107823     -5.691883     56.49690             25
+#> 2068   VR2W-107823     -5.691883     56.49690             25
+#> 2069   VR2W-107823     -5.691883     56.49690             25
+#> 2070   VR2W-107823     -5.691883     56.49690             25
+#> 2071   VR2W-107823     -5.691883     56.49690             25
+#> 2072   VR2W-107823     -5.691883     56.49690             25
+#> 2073   VR2W-107823     -5.691883     56.49690             25
+#> 2074   VR2W-107823     -5.691883     56.49690             25
+#> 2075   VR2W-107823     -5.691883     56.49690             25
+#> 2076   VR2W-107823     -5.691883     56.49690             25
+#> 2077   VR2W-107823     -5.691883     56.49690             25
+#> 2078   VR2W-107823     -5.691883     56.49690             25
+#> 2079   VR2W-107823     -5.691883     56.49690             25
+#> 2080   VR2W-107823     -5.691883     56.49690             25
+#> 2081   VR2W-107823     -5.691883     56.49690             25
+#> 2082   VR2W-107823     -5.691883     56.49690             25
+#> 2083   VR2W-107823     -5.691883     56.49690             25
+#> 2084   VR2W-107823     -5.691883     56.49690             25
+#> 2085   VR2W-107823     -5.691883     56.49690             25
+#> 2086   VR2W-107823     -5.691883     56.49690             25
+#> 2087   VR2W-107823     -5.691883     56.49690             25
+#> 2088   VR2W-107823     -5.691883     56.49690             25
+#> 2089   VR2W-107823     -5.691883     56.49690             25
+#> 2090   VR2W-107823     -5.691883     56.49690             25
+#> 2091   VR2W-107823     -5.691883     56.49690             25
+#> 2092   VR2W-107823     -5.691883     56.49690             25
+#> 2093   VR2W-107823     -5.691883     56.49690             25
+#> 2094   VR2W-107823     -5.691883     56.49690             25
+#> 2095   VR2W-107823     -5.691883     56.49690             25
+#> 2096   VR2W-107823     -5.691883     56.49690             25
+#> 2097   VR2W-107823     -5.691883     56.49690             25
+#> 2098   VR2W-107823     -5.691883     56.49690             25
+#> 2099   VR2W-107823     -5.691883     56.49690             25
+#> 2100   VR2W-107823     -5.691883     56.49690             25
+#> 2101   VR2W-107823     -5.691883     56.49690             25
+#> 2102   VR2W-107823     -5.691883     56.49690             25
+#> 2103   VR2W-107823     -5.691883     56.49690             25
+#> 2104   VR2W-107823     -5.691883     56.49690             25
+#> 2105   VR2W-107823     -5.691883     56.49690             25
+#> 2106   VR2W-107823     -5.691883     56.49690             25
+#> 2107   VR2W-107823     -5.691883     56.49690             25
+#> 2108   VR2W-107823     -5.691883     56.49690             25
+#> 2109   VR2W-107823     -5.691883     56.49690             25
+#> 2110   VR2W-107823     -5.691883     56.49690             25
+#> 2111   VR2W-107823     -5.691883     56.49690             25
+#> 2112   VR2W-107823     -5.691883     56.49690             25
+#> 2113   VR2W-107823     -5.691883     56.49690             25
+#> 2114   VR2W-107823     -5.691883     56.49690             25
+#> 2115   VR2W-107823     -5.691883     56.49690             25
+#> 2116   VR2W-107823     -5.691883     56.49690             25
+#> 2117   VR2W-107823     -5.691883     56.49690             25
+#> 2118   VR2W-107823     -5.691883     56.49690             25
+#> 2119   VR2W-107823     -5.691883     56.49690             25
+#> 2120   VR2W-107823     -5.691883     56.49690             25
+#> 2121   VR2W-107823     -5.691883     56.49690             25
+#> 2122   VR2W-107823     -5.691883     56.49690             25
+#> 2123   VR2W-107823     -5.691883     56.49690             25
+#> 2124   VR2W-107823     -5.691883     56.49690             25
+#> 2125   VR2W-107823     -5.691883     56.49690             25
+#> 2126   VR2W-107823     -5.691883     56.49690             25
+#> 2127   VR2W-107823     -5.691883     56.49690             25
+#> 2128   VR2W-107823     -5.691883     56.49690             25
+#> 2129   VR2W-107823     -5.691883     56.49690             25
+#> 2130   VR2W-107823     -5.691883     56.49690             25
+#> 2131   VR2W-107823     -5.691883     56.49690             25
+#> 2132   VR2W-107823     -5.691883     56.49690             25
+#> 2133   VR2W-107823     -5.691883     56.49690             25
+#> 2134   VR2W-107823     -5.691883     56.49690             25
+#> 2135   VR2W-107823     -5.691883     56.49690             25
+#> 2136   VR2W-107823     -5.691883     56.49690             25
+#> 2137   VR2W-107823     -5.691883     56.49690             25
+#> 2138   VR2W-107823     -5.691883     56.49690             25
+#> 2139   VR2W-107823     -5.691883     56.49690             25
+#> 2140   VR2W-107823     -5.691883     56.49690             25
+#> 2141   VR2W-107823     -5.691883     56.49690             25
+#> 2142   VR2W-107823     -5.691883     56.49690             25
+#> 2143   VR2W-107823     -5.691883     56.49690             25
+#> 2144   VR2W-107823     -5.691883     56.49690             25
+#> 2145   VR2W-107823     -5.691883     56.49690             25
+#> 2146   VR2W-107823     -5.691883     56.49690             25
+#> 2147   VR2W-107823     -5.691883     56.49690             25
+#> 2148   VR2W-107823     -5.691883     56.49690             25
+#> 2149   VR2W-107823     -5.691883     56.49690             25
+#> 2150   VR2W-107823     -5.691883     56.49690             25
+#> 2151   VR2W-107823     -5.691883     56.49690             25
+#> 2152   VR2W-107823     -5.691883     56.49690             25
+#> 2153   VR2W-107823     -5.691883     56.49690             25
+#> 2154   VR2W-107823     -5.691883     56.49690             25
+#> 2155   VR2W-107823     -5.691883     56.49690             25
+#> 2156   VR2W-107823     -5.691883     56.49690             25
+#> 2157   VR2W-107823     -5.691883     56.49690             25
+#> 2158   VR2W-107823     -5.691883     56.49690             25
+#> 2159   VR2W-107823     -5.691883     56.49690             25
+#> 2160   VR2W-107823     -5.691883     56.49690             25
+#> 2161   VR2W-107823     -5.691883     56.49690             25
+#> 2162   VR2W-107823     -5.691883     56.49690             25
+#> 2163   VR2W-107823     -5.691883     56.49690             25
+#> 2164   VR2W-107823     -5.691883     56.49690             25
+#> 2165   VR2W-107823     -5.691883     56.49690             25
+#> 2166   VR2W-107823     -5.691883     56.49690             25
+#> 2167   VR2W-107823     -5.691883     56.49690             25
+#> 2168   VR2W-107823     -5.691883     56.49690             25
+#> 2169   VR2W-107823     -5.691883     56.49690             25
+#> 2170   VR2W-107823     -5.691883     56.49690             25
+#> 2171   VR2W-107823     -5.691883     56.49690             25
+#> 2172   VR2W-107823     -5.691883     56.49690             25
+#> 2173   VR2W-107823     -5.691883     56.49690             25
+#> 2174   VR2W-107823     -5.691883     56.49690             25
+#> 2175   VR2W-107823     -5.691883     56.49690             25
+#> 2176   VR2W-107823     -5.691883     56.49690             25
+#> 2177   VR2W-107823     -5.691883     56.49690             25
+#> 2178   VR2W-107823     -5.691883     56.49690             25
+#> 2179   VR2W-107823     -5.691883     56.49690             25
+#> 2180   VR2W-107823     -5.691883     56.49690             25
+#> 2181   VR2W-107823     -5.691883     56.49690             25
+#> 2182   VR2W-107823     -5.691883     56.49690             25
+#> 2183   VR2W-107823     -5.691883     56.49690             25
+#> 2184   VR2W-107823     -5.691883     56.49690             25
+#> 2185   VR2W-107823     -5.691883     56.49690             25
+#> 2186   VR2W-107823     -5.691883     56.49690             25
+#> 2187   VR2W-107823     -5.691883     56.49690             25
+#> 2188   VR2W-107823     -5.691883     56.49690             25
+#> 2189   VR2W-107823     -5.691883     56.49690             25
+#> 2190   VR2W-107823     -5.691883     56.49690             25
+#> 2191   VR2W-107823     -5.691883     56.49690             25
+#> 2192   VR2W-107823     -5.691883     56.49690             25
+#> 2193   VR2W-107823     -5.691883     56.49690             25
+#> 2194   VR2W-107823     -5.691883     56.49690             25
+#> 2195   VR2W-107823     -5.691883     56.49690             25
+#> 2196   VR2W-107823     -5.691883     56.49690             25
+#> 2197   VR2W-107823     -5.691883     56.49690             25
+#> 2198   VR2W-107823     -5.691883     56.49690             25
+#> 2199   VR2W-107823     -5.691883     56.49690             25
+#> 2200   VR2W-107823     -5.691883     56.49690             25
+#> 2201   VR2W-107823     -5.691883     56.49690             25
+#> 2202   VR2W-107823     -5.691883     56.49690             25
+#> 2203   VR2W-107823     -5.691883     56.49690             25
+#> 2204   VR2W-107823     -5.691883     56.49690             25
+#> 2205   VR2W-107823     -5.691883     56.49690             25
+#> 2206   VR2W-107823     -5.691883     56.49690             25
+#> 2207   VR2W-107823     -5.691883     56.49690             25
+#> 2208   VR2W-107823     -5.691883     56.49690             25
+#> 2209   VR2W-107823     -5.691883     56.49690             25
+#> 2210   VR2W-107823     -5.691883     56.49690             25
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+#> 2226   VR2W-107823     -5.691883     56.49690             25
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+#> 2240   VR2W-107823     -5.691883     56.49690             25
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+#> 2270   VR2W-107823     -5.691883     56.49690             25
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+#> 2273   VR2W-107823     -5.691883     56.49690             25
+#> 2274   VR2W-107823     -5.691883     56.49690             25
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+#> 2277   VR2W-107823     -5.691883     56.49690             25
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+#> 2284   VR2W-107823     -5.691883     56.49690             25
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+#> 2286   VR2W-107823     -5.691883     56.49690             25
+#> 2287   VR2W-107823     -5.691883     56.49690             25
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+#> 2470   VR2W-107823     -5.691883     56.49690             25
+#> 2471   VR2W-107823     -5.691883     56.49690             25
+#> 2472   VR2W-107823     -5.691883     56.49690             25
+#> 2473   VR2W-107823     -5.691883     56.49690             25
+#> 2474   VR2W-107823     -5.691883     56.49690             25
+#> 2475   VR2W-107823     -5.691883     56.49690             25
+#> 2476   VR2W-107823     -5.691883     56.49690             25
+#> 2477   VR2W-107823     -5.691883     56.49690             25
+#> 2478   VR2W-107823     -5.691883     56.49690             25
+#> 2479   VR2W-107823     -5.691883     56.49690             25
+#> 2480   VR2W-113141     -5.755900     56.51000             50
+#> 2481   VR2W-113141     -5.755900     56.51000             50
+#> 2482   VR2W-113141     -5.755900     56.51000             50
+#> 2483   VR2W-113141     -5.755900     56.51000             50
+#> 2484   VR2W-113141     -5.755900     56.51000             50
+#> 2485   VR2W-113141     -5.755900     56.51000             50
+#> 2486   VR2W-113141     -5.755900     56.51000             50
+#> 2487   VR2W-113141     -5.755900     56.51000             50
+#> 2488   VR2W-113141     -5.755900     56.51000             50
+#> 2489   VR2W-113141     -5.755900     56.51000             50
+#> 2490   VR2W-113141     -5.755900     56.51000             50
+#> 2491   VR2W-113141     -5.755900     56.51000             50
+#> 2492   VR2W-113141     -5.755900     56.51000             50
+#> 2493   VR2W-113141     -5.755900     56.51000             50
+#> 2494   VR2W-113141     -5.755900     56.51000             50
+#> 2495   VR2W-113141     -5.755900     56.51000             50
+#> 2496   VR2W-113141     -5.755900     56.51000             50
+#> 2497   VR2W-113141     -5.755900     56.51000             50
+#> 2498   VR2W-113141     -5.755900     56.51000             50
+#> 2499   VR2W-113141     -5.755900     56.51000             50
+#> 2500   VR2W-113141     -5.755900     56.51000             50
+#> 2501   VR2W-113141     -5.755900     56.51000             50
+#> 2502   VR2W-113141     -5.755900     56.51000             50
+#> 2503   VR2W-113141     -5.755900     56.51000             50
+#> 2504   VR2W-113141     -5.755900     56.51000             50
+#> 2505   VR2W-113141     -5.755900     56.51000             50
+#> 2506   VR2W-113141     -5.755900     56.51000             50
+#> 2507   VR2W-113141     -5.755900     56.51000             50
+#> 2508   VR2W-113141     -5.755900     56.51000             50
+#> 2509   VR2W-113141     -5.755900     56.51000             50
+#> 2510   VR2W-113141     -5.755900     56.51000             50
+#> 2511   VR2W-113141     -5.755900     56.51000             50
+#> 2512   VR2W-113141     -5.755900     56.51000             50
+#> 2513   VR2W-113141     -5.755900     56.51000             50
+#> 2514   VR2W-113141     -5.755900     56.51000             50
+#> 2515   VR2W-113141     -5.755900     56.51000             50
+#> 2516   VR2W-113141     -5.755900     56.51000             50
+#> 2517   VR2W-113141     -5.755900     56.51000             50
+#> 2518   VR2W-113141     -5.755900     56.51000             50
+#> 2519   VR2W-113141     -5.755900     56.51000             50
+#> 2520   VR2W-113141     -5.755900     56.51000             50
+#> 2521   VR2W-113141     -5.755900     56.51000             50
+#> 2522   VR2W-113141     -5.755900     56.51000             50
+#> 2523   VR2W-113141     -5.755900     56.51000             50
+#> 2524   VR2W-113141     -5.755900     56.51000             50
+#> 2525   VR2W-113141     -5.755900     56.51000             50
+#> 2526   VR2W-113141     -5.755900     56.51000             50
+#> 2527   VR2W-113141     -5.755900     56.51000             50
+#> 2528   VR2W-113141     -5.755900     56.51000             50
+#> 2529   VR2W-113141     -5.755900     56.51000             50
+#> 2530   VR2W-113141     -5.755900     56.51000             50
+#> 2531   VR2W-113141     -5.755900     56.51000             50
+#> 2532   VR2W-113141     -5.755900     56.51000             50
+#> 2533   VR2W-113141     -5.755900     56.51000             50
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+#> 2535   VR2W-113141     -5.755900     56.51000             50
+#> 2536   VR2W-113141     -5.755900     56.51000             50
+#> 2537   VR2W-113141     -5.755900     56.51000             50
+#> 2538   VR2W-113141     -5.755900     56.51000             50
+#> 2539   VR2W-113141     -5.755900     56.51000             50
+#> 2540   VR2W-113141     -5.755900     56.51000             50
+#> 2541   VR2W-113141     -5.755900     56.51000             50
+#> 2542   VR2W-113141     -5.755900     56.51000             50
+#> 2543   VR2W-113141     -5.755900     56.51000             50
+#> 2544   VR2W-113141     -5.755900     56.51000             50
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+#> 2547   VR2W-113141     -5.755900     56.51000             50
+#> 2548   VR2W-113141     -5.755900     56.51000             50
+#> 2549   VR2W-113141     -5.755900     56.51000             50
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+#> 2554   VR2W-113141     -5.755900     56.51000             50
+#> 2555   VR2W-113141     -5.755900     56.51000             50
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+#> 2557   VR2W-113141     -5.755900     56.51000             50
+#> 2558   VR2W-113141     -5.755900     56.51000             50
+#> 2559   VR2W-113141     -5.755900     56.51000             50
+#> 2560   VR2W-113141     -5.755900     56.51000             50
+#> 2561   VR2W-113141     -5.755900     56.51000             50
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+#> 2563   VR2W-113141     -5.755900     56.51000             50
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+#> 2567   VR2W-113141     -5.755900     56.51000             50
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+#> 2570   VR2W-113141     -5.755900     56.51000             50
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+#> 2577   VR2W-113141     -5.755900     56.51000             50
+#> 2578   VR2W-113141     -5.755900     56.51000             50
+#> 2579   VR2W-113141     -5.755900     56.51000             50
+#> 2580   VR2W-113141     -5.755900     56.51000             50
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+#> 2582   VR2W-113141     -5.755900     56.51000             50
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+#> 2605   VR2W-107823     -5.691883     56.49690             25
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+#> 2609   VR2W-107823     -5.691883     56.49690             25
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+#> 2689   VR2W-107823     -5.691883     56.49690             25
+#> 2690   VR2W-107823     -5.691883     56.49690             25
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+#> 2695   VR2W-107823     -5.691883     56.49690             25
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+#> 2755   VR2W-107823     -5.691883     56.49690             25
+#> 2756   VR2W-107823     -5.691883     56.49690             25
+#> 2757   VR2W-107823     -5.691883     56.49690             25
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+#> 2759   VR2W-107823     -5.691883     56.49690             25
+#> 2760   VR2W-107823     -5.691883     56.49690             25
+#> 2761   VR2W-107823     -5.691883     56.49690             25
+#> 2762   VR2W-107823     -5.691883     56.49690             25
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+#> 2764   VR2W-107823     -5.691883     56.49690             25
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+#> 2766   VR2W-107823     -5.691883     56.49690             25
+#> 2767   VR2W-107823     -5.691883     56.49690             25
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+#> 2773   VR2W-107823     -5.691883     56.49690             25
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+#> 2775   VR2W-107823     -5.691883     56.49690             25
+#> 2776   VR2W-107823     -5.691883     56.49690             25
+#> 2777      VR2-6720     -5.627150     56.50808             50
+#> 2778      VR2-6720     -5.627150     56.50808             50
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+#> 2796      VR2-6720     -5.627150     56.50808             50
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+#> 2860   VR2W-108160     -5.704867     56.48890             25
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+#> 2864   VR2W-108160     -5.704867     56.48890             25
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+#> 2869   VR2W-108160     -5.704867     56.48890             25
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+#> 2875   VR2W-108160     -5.704867     56.48890             25
+#> 2876   VR2W-108160     -5.704867     56.48890             25
+#> 2877   VR2W-108160     -5.704867     56.48890             25
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+#> 3052  VR2AR-546136     -5.665000     56.48650            105
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+#> 3055  VR2AR-546136     -5.665000     56.48650            105
+#> 3056  VR2AR-546136     -5.665000     56.48650            105
+#> 3057  VR2AR-546136     -5.665000     56.48650            105
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+#> 3060  VR2AR-546136     -5.665000     56.48650            105
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+#> 3063  VR2AR-546136     -5.665000     56.48650            105
+#> 3064  VR2AR-546136     -5.665000     56.48650            105
+#> 3065   VR2W-108160     -5.704867     56.48890             25
+#> 3066   VR2W-108160     -5.704867     56.48890             25
+#> 3067   VR2W-113141     -5.755900     56.51000             50
+#> 3068   VR2W-113141     -5.755900     56.51000             50
+#> 3069   VR2W-113141     -5.755900     56.51000             50
+#> 3070   VR2W-113141     -5.755900     56.51000             50
+#> 3071   VR2W-113141     -5.755900     56.51000             50
+#> 3072   VR2W-113141     -5.755900     56.51000             50
+#> 3073   VR2W-113141     -5.755900     56.51000             50
+#> 3074   VR2W-113141     -5.755900     56.51000             50
+#> 3075   VR2W-113141     -5.755900     56.51000             50
+#> 3076   VR2W-113141     -5.755900     56.51000             50
+#> 3077   VR2W-113141     -5.755900     56.51000             50
+#> 3078   VR2W-113141     -5.755900     56.51000             50
+#> 3079   VR2W-113141     -5.755900     56.51000             50
+#> 3080   VR2W-113141     -5.755900     56.51000             50
+#> 3081   VR2W-113141     -5.755900     56.51000             50
+#> 3082   VR2W-113141     -5.755900     56.51000             50
+#> 3083   VR2W-113141     -5.755900     56.51000             50
+#> 3084   VR2W-113141     -5.755900     56.51000             50
+#> 3085   VR2W-113141     -5.755900     56.51000             50
+#> 3086   VR2W-113141     -5.755900     56.51000             50
+#> 3087   VR2W-113141     -5.755900     56.51000             50
+#> 3088   VR2W-113141     -5.755900     56.51000             50
+#> 3089   VR2W-113141     -5.755900     56.51000             50
+#> 3090   VR2W-113141     -5.755900     56.51000             50
+#> 3091   VR2W-113141     -5.755900     56.51000             50
+#> 3092   VR2W-113141     -5.755900     56.51000             50
+#> 3093   VR2W-113141     -5.755900     56.51000             50
+#> 3094   VR2W-113141     -5.755900     56.51000             50
+#> 3095   VR2W-113141     -5.755900     56.51000             50
+#> 3096   VR2W-113141     -5.755900     56.51000             50
+#> 3097   VR2W-113141     -5.755900     56.51000             50
+#> 3098   VR2W-113141     -5.755900     56.51000             50
+#> 3099   VR2W-107823     -5.691883     56.49690             25
+#> 3100   VR2W-107823     -5.691883     56.49690             25
+#> 3101   VR2W-107823     -5.691883     56.49690             25
+#> 3102  VR2AR-546136     -5.665000     56.48650            105
+#> 3103  VR2AR-546136     -5.665000     56.48650            105
+#> 3104  VR2AR-546136     -5.665000     56.48650            105
+#> 3105  VR2AR-546136     -5.665000     56.48650            105
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+#> 3107  VR2AR-546136     -5.665000     56.48650            105
+#> 3108  VR2AR-546136     -5.665000     56.48650            105
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+#> 3110  VR2AR-546136     -5.665000     56.48650            105
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+#> 3113  VR2AR-546136     -5.665000     56.48650            105
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+#> 3118  VR2AR-546136     -5.665000     56.48650            105
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+#> 3126   VR2W-108160     -5.704867     56.48890             25
+#> 3127   VR2W-108160     -5.704867     56.48890             25
+#> 3128   VR2W-108160     -5.704867     56.48890             25
+#> 3129   VR2W-108160     -5.704867     56.48890             25
+#> 3130   VR2W-108160     -5.704867     56.48890             25
+#> 3131   VR2W-108160     -5.704867     56.48890             25
+#> 3132  VR2AR-546136     -5.665000     56.48650            105
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+#> 3148  VR2AR-546136     -5.665000     56.48650            105
+#> 3149  VR2AR-546136     -5.665000     56.48650            105
+#> 3150  VR2AR-546136     -5.665000     56.48650            105
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+#> 3158  VR2AR-546136     -5.665000     56.48650            105
+#> 3159  VR2AR-546136     -5.665000     56.48650            105
+#> 3160  VR2AR-546136     -5.665000     56.48650            105
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+#> 3169  VR2AR-546136     -5.665000     56.48650            105
+#> 3170  VR2AR-546136     -5.665000     56.48650            105
+#> 3171  VR2AR-546136     -5.665000     56.48650            105
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+#> 3194  VR2AR-546136     -5.665000     56.48650            105
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+#> 3201  VR2AR-546136     -5.665000     56.48650            105
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+#> 3207  VR2AR-546136     -5.665000     56.48650            105
+#> 3208  VR2AR-546136     -5.665000     56.48650            105
+#> 3209  VR2AR-546136     -5.665000     56.48650            105
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+#> 3217   VR2W-107823     -5.691883     56.49690             25
+#> 3218   VR2W-107823     -5.691883     56.49690             25
+#> 3219   VR2W-107823     -5.691883     56.49690             25
+#> 3220   VR2W-107823     -5.691883     56.49690             25
+#> 3221   VR2W-107823     -5.691883     56.49690             25
+#> 3222   VR2W-107823     -5.691883     56.49690             25
+#> 3223   VR2W-107823     -5.691883     56.49690             25
+#> 3224   VR2W-107823     -5.691883     56.49690             25
+#> 3225   VR2W-107823     -5.691883     56.49690             25
+#> 3226   VR2W-107823     -5.691883     56.49690             25
+#> 3227   VR2W-107823     -5.691883     56.49690             25
+#> 3228   VR2W-113141     -5.755900     56.51000             50
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+#> 3237   VR2W-107823     -5.691883     56.49690             25
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+#> 3247   VR2W-108160     -5.704867     56.48890             25
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+#> 3346   VR2W-113141     -5.755900     56.51000             50
+#> 3347   VR2W-113141     -5.755900     56.51000             50
+#> 3348   VR2W-113141     -5.755900     56.51000             50
+#> 3349   VR2W-113141     -5.755900     56.51000             50
+#> 3350   VR2W-113141     -5.755900     56.51000             50
+#> 3351   VR2W-113141     -5.755900     56.51000             50
+#> 3352   VR2W-113141     -5.755900     56.51000             50
+#> 3353   VR2W-113141     -5.755900     56.51000             50
+#> 3354   VR2W-113141     -5.755900     56.51000             50
+#> 3355   VR2W-113141     -5.755900     56.51000             50
+#> 3356   VR2W-113141     -5.755900     56.51000             50
+#> 3357   VR2W-113141     -5.755900     56.51000             50
+#> 3358   VR2W-113141     -5.755900     56.51000             50
+#> 3359   VR2W-113141     -5.755900     56.51000             50
+#> 3360   VR2W-113141     -5.755900     56.51000             50
+#> 3361   VR2W-113141     -5.755900     56.51000             50
+#> 3362   VR2W-113141     -5.755900     56.51000             50
+#> 3363   VR2W-113141     -5.755900     56.51000             50
+#> 3364   VR2W-113141     -5.755900     56.51000             50
+#> 3365   VR2W-113141     -5.755900     56.51000             50
+#> 3366   VR2W-113141     -5.755900     56.51000             50
+#> 3367   VR2W-113141     -5.755900     56.51000             50
+#> 3368   VR2W-113141     -5.755900     56.51000             50
+#> 3369   VR2W-113141     -5.755900     56.51000             50
+#> 3370   VR2W-113141     -5.755900     56.51000             50
+#> 3371   VR2W-113141     -5.755900     56.51000             50
+#> 3372   VR2W-113141     -5.755900     56.51000             50
+#> 3373   VR2W-113141     -5.755900     56.51000             50
+#> 3374   VR2W-113141     -5.755900     56.51000             50
+#> 3375   VR2W-113141     -5.755900     56.51000             50
+#> 3376   VR2W-113141     -5.755900     56.51000             50
+#> 3377   VR2W-113141     -5.755900     56.51000             50
+#> 3378   VR2W-113141     -5.755900     56.51000             50
+#> 3379   VR2W-113141     -5.755900     56.51000             50
+#> 3380   VR2W-113141     -5.755900     56.51000             50
+#> 3381   VR2W-113141     -5.755900     56.51000             50
+#> 3382   VR2W-113141     -5.755900     56.51000             50
+#> 3383   VR2W-113141     -5.755900     56.51000             50
+#> 3384   VR2W-113141     -5.755900     56.51000             50
+#> 3385   VR2W-113141     -5.755900     56.51000             50
+#> 3386   VR2W-113141     -5.755900     56.51000             50
+#> 3387   VR2W-113141     -5.755900     56.51000             50
+#> 3388   VR2W-113141     -5.755900     56.51000             50
+#> 3389   VR2W-113141     -5.755900     56.51000             50
+#> 3390   VR2W-113141     -5.755900     56.51000             50
+#> 3391   VR2W-113141     -5.755900     56.51000             50
+#> 3392   VR2W-113141     -5.755900     56.51000             50
+#> 3393   VR2W-113141     -5.755900     56.51000             50
+#> 3394   VR2W-113141     -5.755900     56.51000             50
+#> 3395   VR2W-113141     -5.755900     56.51000             50
+#> 3396   VR2W-113141     -5.755900     56.51000             50
+#> 3397   VR2W-113141     -5.755900     56.51000             50
+#> 3398   VR2W-113141     -5.755900     56.51000             50
+#> 3399   VR2W-113141     -5.755900     56.51000             50
+#> 3400   VR2W-113141     -5.755900     56.51000             50
+#> 3401   VR2W-113141     -5.755900     56.51000             50
+#> 3402   VR2W-113141     -5.755900     56.51000             50
+#> 3403   VR2W-113141     -5.755900     56.51000             50
+#> 3404   VR2W-113141     -5.755900     56.51000             50
+#> 3405   VR2W-113141     -5.755900     56.51000             50
+#> 3406   VR2W-113141     -5.755900     56.51000             50
+#> 3407   VR2W-113141     -5.755900     56.51000             50
+#> 3408   VR2W-113141     -5.755900     56.51000             50
+#> 3409   VR2W-113141     -5.755900     56.51000             50
+#> 3410   VR2W-113141     -5.755900     56.51000             50
+#> 3411   VR2W-113141     -5.755900     56.51000             50
+#> 3412   VR2W-113141     -5.755900     56.51000             50
+#> 3413   VR2W-113141     -5.755900     56.51000             50
+#> 3414   VR2W-113141     -5.755900     56.51000             50
+#> 3415   VR2W-113141     -5.755900     56.51000             50
+#> 3416   VR2W-113141     -5.755900     56.51000             50
+#> 3417   VR2W-113141     -5.755900     56.51000             50
+#> 3418   VR2W-113141     -5.755900     56.51000             50
+#> 3419   VR2W-113141     -5.755900     56.51000             50
+#> 3420   VR2W-113141     -5.755900     56.51000             50
+#> 3421   VR2W-113141     -5.755900     56.51000             50
+#> 3422   VR2W-113141     -5.755900     56.51000             50
+#> 3423   VR2W-113141     -5.755900     56.51000             50
+#> 3424   VR2W-113141     -5.755900     56.51000             50
+#> 3425   VR2W-113141     -5.755900     56.51000             50
+#> 3426   VR2W-113141     -5.755900     56.51000             50
+#> 3427   VR2W-113141     -5.755900     56.51000             50
+#> 3428   VR2W-113141     -5.755900     56.51000             50
+#> 3429   VR2W-113141     -5.755900     56.51000             50
+#> 3430   VR2W-113141     -5.755900     56.51000             50
+#> 3431   VR2W-113141     -5.755900     56.51000             50
+#> 3432   VR2W-113141     -5.755900     56.51000             50
+#> 3433   VR2W-113141     -5.755900     56.51000             50
+#> 3434   VR2W-113141     -5.755900     56.51000             50
+#> 3435   VR2W-113141     -5.755900     56.51000             50
+#> 3436   VR2W-113141     -5.755900     56.51000             50
+#> 3437   VR2W-113141     -5.755900     56.51000             50
+#> 3438   VR2W-113141     -5.755900     56.51000             50
+#> 3439   VR2W-113141     -5.755900     56.51000             50
+#> 3440   VR2W-113141     -5.755900     56.51000             50
+#> 3441   VR2W-113141     -5.755900     56.51000             50
+#> 3442   VR2W-113141     -5.755900     56.51000             50
+#> 3443   VR2W-113141     -5.755900     56.51000             50
+#> 3444   VR2W-113141     -5.755900     56.51000             50
+#> 3445   VR2W-113141     -5.755900     56.51000             50
+#> 3446   VR2W-113141     -5.755900     56.51000             50
+#> 3447   VR2W-113141     -5.755900     56.51000             50
+#> 3448   VR2W-113141     -5.755900     56.51000             50
+#> 3449   VR2W-113141     -5.755900     56.51000             50
+#> 3450   VR2W-113141     -5.755900     56.51000             50
+#> 3451   VR2W-113141     -5.755900     56.51000             50
+#> 3452   VR2W-113141     -5.755900     56.51000             50
+#> 3453   VR2W-113141     -5.755900     56.51000             50
+#> 3454   VR2W-113141     -5.755900     56.51000             50
+#> 3455   VR2W-113141     -5.755900     56.51000             50
+#> 3456   VR2W-113141     -5.755900     56.51000             50
+#> 3457   VR2W-113141     -5.755900     56.51000             50
+#> 3458   VR2W-113141     -5.755900     56.51000             50
+#> 3459   VR2W-113141     -5.755900     56.51000             50
+#> 3460   VR2W-113141     -5.755900     56.51000             50
+#> 3461   VR2W-113141     -5.755900     56.51000             50
+#> 3462   VR2W-113141     -5.755900     56.51000             50
+#> 3463   VR2W-113141     -5.755900     56.51000             50
+#> 3464   VR2W-113141     -5.755900     56.51000             50
+#> 3465   VR2W-113141     -5.755900     56.51000             50
+#> 3466   VR2W-113141     -5.755900     56.51000             50
+#> 3467   VR2W-113141     -5.755900     56.51000             50
+#> 3468   VR2W-113141     -5.755900     56.51000             50
+#> 3469   VR2W-113141     -5.755900     56.51000             50
+#> 3470   VR2W-113141     -5.755900     56.51000             50
+#> 3471   VR2W-113141     -5.755900     56.51000             50
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+#> 3473   VR2W-113141     -5.755900     56.51000             50
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+#> 3480   VR2W-113141     -5.755900     56.51000             50
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+#> 3485   VR2W-113141     -5.755900     56.51000             50
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+#> 3488   VR2W-113141     -5.755900     56.51000             50
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+#> 3491   VR2W-113141     -5.755900     56.51000             50
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+#> 3499   VR2W-113141     -5.755900     56.51000             50
+#> 3500   VR2W-113141     -5.755900     56.51000             50
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+#> 3506   VR2W-113141     -5.755900     56.51000             50
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+#> 3533   VR2W-113141     -5.755900     56.51000             50
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+#> 3536   VR2W-113141     -5.755900     56.51000             50
+#> 3537   VR2W-113141     -5.755900     56.51000             50
+#> 3538   VR2W-113141     -5.755900     56.51000             50
+#> 3539   VR2W-113141     -5.755900     56.51000             50
+#> 3540   VR2W-113141     -5.755900     56.51000             50
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+#> 3542   VR2W-113141     -5.755900     56.51000             50
+#> 3543   VR2W-113141     -5.755900     56.51000             50
+#> 3544   VR2W-113141     -5.755900     56.51000             50
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+#> 3547   VR2W-113141     -5.755900     56.51000             50
+#> 3548   VR2W-113141     -5.755900     56.51000             50
+#> 3549   VR2W-113141     -5.755900     56.51000             50
+#> 3550   VR2W-113141     -5.755900     56.51000             50
+#> 3551   VR2W-113141     -5.755900     56.51000             50
+#> 3552   VR2W-113141     -5.755900     56.51000             50
+#> 3553   VR2W-113141     -5.755900     56.51000             50
+#> 3554   VR2W-113141     -5.755900     56.51000             50
+#> 3555   VR2W-113141     -5.755900     56.51000             50
+#> 3556   VR2W-113141     -5.755900     56.51000             50
+#> 3557   VR2W-113141     -5.755900     56.51000             50
+#> 3558   VR2W-113141     -5.755900     56.51000             50
+#> 3559   VR2W-113141     -5.755900     56.51000             50
+#> 3560   VR2W-113141     -5.755900     56.51000             50
+#> 3561   VR2W-113141     -5.755900     56.51000             50
+#> 3562   VR2W-113141     -5.755900     56.51000             50
+#> 3563   VR2W-113141     -5.755900     56.51000             50
+#> 3564   VR2W-113141     -5.755900     56.51000             50
+#> 3565   VR2W-113141     -5.755900     56.51000             50
+#> 3566   VR2W-113141     -5.755900     56.51000             50
+#> 3567   VR2W-113141     -5.755900     56.51000             50
+#> 3568   VR2W-113141     -5.755900     56.51000             50
+#> 3569   VR2W-113141     -5.755900     56.51000             50
+#> 3570   VR2W-113141     -5.755900     56.51000             50
+#> 3571   VR2W-113141     -5.755900     56.51000             50
+#> 3572   VR2W-113141     -5.755900     56.51000             50
+#> 3573   VR2W-113141     -5.755900     56.51000             50
+#> 3574   VR2W-113141     -5.755900     56.51000             50
+#> 3575   VR2W-113141     -5.755900     56.51000             50
+#> 3576   VR2W-113141     -5.755900     56.51000             50
+#> 3577   VR2W-113141     -5.755900     56.51000             50
+#> 3578   VR2W-113141     -5.755900     56.51000             50
+#> 3579   VR2W-113141     -5.755900     56.51000             50
+#> 3580   VR2W-113141     -5.755900     56.51000             50
+#> 3581   VR2W-113141     -5.755900     56.51000             50
+#> 3582   VR2W-113141     -5.755900     56.51000             50
+#> 3583   VR2W-113141     -5.755900     56.51000             50
+#> 3584   VR2W-113141     -5.755900     56.51000             50
+#> 3585   VR2W-113141     -5.755900     56.51000             50
+#> 3586   VR2W-113141     -5.755900     56.51000             50
+#> 3587   VR2W-113141     -5.755900     56.51000             50
+#> 3588   VR2W-113141     -5.755900     56.51000             50
+#> 3589   VR2W-113141     -5.755900     56.51000             50
+#> 3590   VR2W-113141     -5.755900     56.51000             50
+#> 3591   VR2W-113141     -5.755900     56.51000             50
+#> 3592   VR2W-113141     -5.755900     56.51000             50
+#> 3593   VR2W-113141     -5.755900     56.51000             50
+#> 3594   VR2W-113141     -5.755900     56.51000             50
+#> 3595   VR2W-113141     -5.755900     56.51000             50
+#> 3596   VR2W-113141     -5.755900     56.51000             50
+#> 3597   VR2W-113141     -5.755900     56.51000             50
+#> 3598   VR2W-113141     -5.755900     56.51000             50
+#> 3599   VR2W-113141     -5.755900     56.51000             50
+#> 3600   VR2W-113141     -5.755900     56.51000             50
+#> 3601   VR2W-113141     -5.755900     56.51000             50
+#> 3602   VR2W-113141     -5.755900     56.51000             50
+#> 3603   VR2W-113141     -5.755900     56.51000             50
+#> 3604   VR2W-113141     -5.755900     56.51000             50
+#> 3605   VR2W-113141     -5.755900     56.51000             50
+#> 3606   VR2W-113141     -5.755900     56.51000             50
+#> 3607   VR2W-113141     -5.755900     56.51000             50
+#> 3608   VR2W-113141     -5.755900     56.51000             50
+#> 3609   VR2W-113141     -5.755900     56.51000             50
+#> 3610   VR2W-113141     -5.755900     56.51000             50
+#> 3611   VR2W-113141     -5.755900     56.51000             50
+#> 3612   VR2W-113141     -5.755900     56.51000             50
+#> 3613   VR2W-113141     -5.755900     56.51000             50
+#> 3614   VR2W-113141     -5.755900     56.51000             50
+#> 3615   VR2W-113141     -5.755900     56.51000             50
+#> 3616   VR2W-113141     -5.755900     56.51000             50
+#> 3617   VR2W-113141     -5.755900     56.51000             50
+#> 3618   VR2W-113141     -5.755900     56.51000             50
+#> 3619   VR2W-113141     -5.755900     56.51000             50
+#> 3620   VR2W-113141     -5.755900     56.51000             50
+#> 3621   VR2W-113141     -5.755900     56.51000             50
+#> 3622   VR2W-113141     -5.755900     56.51000             50
+#> 3623   VR2W-113141     -5.755900     56.51000             50
+#> 3624   VR2W-113141     -5.755900     56.51000             50
+#> 3625   VR2W-113141     -5.755900     56.51000             50
+#> 3626   VR2W-113141     -5.755900     56.51000             50
+#> 3627   VR2W-113141     -5.755900     56.51000             50
+#> 3628   VR2W-113141     -5.755900     56.51000             50
+#> 3629   VR2W-113141     -5.755900     56.51000             50
+#> 3630   VR2W-113141     -5.755900     56.51000             50
+#> 3631   VR2W-113141     -5.755900     56.51000             50
+#> 3632   VR2W-113141     -5.755900     56.51000             50
+#> 3633   VR2W-113141     -5.755900     56.51000             50
+#> 3634   VR2W-113141     -5.755900     56.51000             50
+#> 3635   VR2W-113141     -5.755900     56.51000             50
+#> 3636   VR2W-113141     -5.755900     56.51000             50
+#> 3637   VR2W-113141     -5.755900     56.51000             50
+#> 3638   VR2W-113141     -5.755900     56.51000             50
+#> 3639   VR2W-113141     -5.755900     56.51000             50
+#> 3640   VR2W-113141     -5.755900     56.51000             50
+#> 3641   VR2W-113141     -5.755900     56.51000             50
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+#> 3646   VR2W-113141     -5.755900     56.51000             50
+#> 3647   VR2W-113141     -5.755900     56.51000             50
+#> 3648   VR2W-113141     -5.755900     56.51000             50
+#> 3649   VR2W-113141     -5.755900     56.51000             50
+#> 3650   VR2W-113141     -5.755900     56.51000             50
+#> 3651   VR2W-113141     -5.755900     56.51000             50
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+#> 3653   VR2W-113141     -5.755900     56.51000             50
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+#> 3655   VR2W-113141     -5.755900     56.51000             50
+#> 3656   VR2W-113141     -5.755900     56.51000             50
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+#> 3659   VR2W-113141     -5.755900     56.51000             50
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+#> 4217   VR2W-108160     -5.704867     56.48890             25
+#> 4218   VR2W-108160     -5.704867     56.48890             25
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+#> 4563  VR2AR-546134     -5.628000     56.45650             40
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+#> 5420  VR2AR-546132     -5.606667     56.39367             95
+#> 5421  VR2AR-546132     -5.606667     56.39367             95
+#> 5422  VR2AR-546132     -5.606667     56.39367             95
+#> 5423  VR2AR-546132     -5.606667     56.39367             95
+#> 5424  VR2AR-546132     -5.606667     56.39367             95
+#> 5425  VR2AR-546132     -5.606667     56.39367             95
+#> 5426  VR2AR-546132     -5.606667     56.39367             95
+#> 5427  VR2AR-546132     -5.606667     56.39367             95
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+#> 5429   VR2W-120722     -5.602283     56.37748             25
+#> 5430   VR2W-120722     -5.602283     56.37748             25
+#> 5431   VR2W-120722     -5.602283     56.37748             25
+#> 5432   VR2W-120722     -5.602283     56.37748             25
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+#> 5434   VR2W-108158     -5.619533     56.37413             25
+#> 5435   VR2W-108158     -5.619533     56.37413             25
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+#> 5437   VR2W-108158     -5.619533     56.37413             25
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+#> 5442   VR2W-120722     -5.602283     56.37748             25
+#> 5443   VR2W-120722     -5.602283     56.37748             25
+#> 5444   VR2W-120722     -5.602283     56.37748             25
+#> 5445   VR2W-120722     -5.602283     56.37748             25
+#> 5446   VR2W-120722     -5.602283     56.37748             25
+#> 5447   VR2W-120722     -5.602283     56.37748             25
+#> 5448   VR2W-120722     -5.602283     56.37748             25
+#> 5449   VR2W-120722     -5.602283     56.37748             25
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+#> 5451   VR2W-120722     -5.602283     56.37748             25
+#> 5452   VR2W-120722     -5.602283     56.37748             25
+#> 5453   VR2W-120722     -5.602283     56.37748             25
+#> 5454   VR2W-120722     -5.602283     56.37748             25
+#> 5455   VR2W-120722     -5.602283     56.37748             25
+#> 5456   VR2W-120722     -5.602283     56.37748             25
+#> 5457   VR2W-120722     -5.602283     56.37748             25
+#> 5458   VR2W-120722     -5.602283     56.37748             25
+#> 5459   VR2W-120722     -5.602283     56.37748             25
+#> 5460   VR2W-120722     -5.602283     56.37748             25
+#> 5461   VR2W-120722     -5.602283     56.37748             25
+#> 5462   VR2W-120722     -5.602283     56.37748             25
+#> 5463   VR2W-120722     -5.602283     56.37748             25
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+#> 5467   VR2W-108158     -5.619533     56.37413             25
+#> 5468   VR2W-108158     -5.619533     56.37413             25
+#> 5469   VR2W-108158     -5.619533     56.37413             25
+#> 5470   VR2W-108158     -5.619533     56.37413             25
+#> 5471   VR2W-108158     -5.619533     56.37413             25
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+#> 5474   VR2W-120722     -5.602283     56.37748             25
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+#> 5476   VR2W-120722     -5.602283     56.37748             25
+#> 5477   VR2W-120722     -5.602283     56.37748             25
+#> 5478   VR2W-120722     -5.602283     56.37748             25
+#> 5479   VR2W-120722     -5.602283     56.37748             25
+#> 5480   VR2W-120722     -5.602283     56.37748             25
+#> 5481   VR2W-120722     -5.602283     56.37748             25
+#> 5482   VR2W-120722     -5.602283     56.37748             25
+#> 5483   VR2W-120722     -5.602283     56.37748             25
+#> 5484   VR2W-120722     -5.602283     56.37748             25
+#> 5485   VR2W-120722     -5.602283     56.37748             25
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+#> 5488   VR2W-108158     -5.619533     56.37413             25
+#> 5489   VR2W-108158     -5.619533     56.37413             25
+#> 5490   VR2W-108158     -5.619533     56.37413             25
+#> 5491   VR2W-108158     -5.619533     56.37413             25
+#> 5492   VR2W-108158     -5.619533     56.37413             25
+#> 5493   VR2W-108158     -5.619533     56.37413             25
+#> 5494   VR2W-108158     -5.619533     56.37413             25
+#> 5495   VR2W-108158     -5.619533     56.37413             25
+#> 5496   VR2W-108158     -5.619533     56.37413             25
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+#> 5498   VR2W-108158     -5.619533     56.37413             25
+#> 5499   VR2W-108158     -5.619533     56.37413             25
+#> 5500   VR2W-108158     -5.619533     56.37413             25
+#> 5501   VR2W-108158     -5.619533     56.37413             25
+#> 5502   VR2W-108158     -5.619533     56.37413             25
+#> 5503   VR2W-108158     -5.619533     56.37413             25
+#> 5504   VR2W-108158     -5.619533     56.37413             25
+#> 5505   VR2W-108158     -5.619533     56.37413             25
+#> 5506   VR2W-108158     -5.619533     56.37413             25
+#> 5507   VR2W-108158     -5.619533     56.37413             25
+#> 5508   VR2W-108158     -5.619533     56.37413             25
+#> 5509   VR2W-108158     -5.619533     56.37413             25
+#> 5510   VR2W-108158     -5.619533     56.37413             25
+#> 5511   VR2W-108158     -5.619533     56.37413             25
+#> 5512   VR2W-108158     -5.619533     56.37413             25
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+#> 5514   VR2W-108161     -5.605383     56.46018             25
+#> 5515   VR2W-108161     -5.605383     56.46018             25
+#> 5516   VR2W-108161     -5.605383     56.46018             25
+#> 5517  VR2AR-546131     -5.612700     56.37988             35
+#> 5518  VR2AR-546131     -5.612700     56.37988             35
+#> 5519  VR2AR-546131     -5.612700     56.37988             35
+#> 5520  VR2AR-546131     -5.612700     56.37988             35
+#> 5521  VR2AR-546131     -5.612700     56.37988             35
+#> 5522  VR2AR-546131     -5.612700     56.37988             35
+#> 5523  VR2AR-546131     -5.612700     56.37988             35
+#> 5524  VR2AR-546131     -5.612700     56.37988             35
+#> 5525  VR2AR-546131     -5.612700     56.37988             35
+#> 5526  VR2AR-546131     -5.612700     56.37988             35
+#> 5527  VR2AR-546131     -5.612700     56.37988             35
+#> 5528  VR2AR-546131     -5.612700     56.37988             35
+#> 5529  VR2AR-546131     -5.612700     56.37988             35
+#> 5530   VR2W-108158     -5.619533     56.37413             25
+#> 5531   VR2W-108158     -5.619533     56.37413             25
+#> 5532   VR2W-108158     -5.619533     56.37413             25
+#> 5533   VR2W-108158     -5.619533     56.37413             25
+#> 5534   VR2W-108158     -5.619533     56.37413             25
+#> 5535   VR2W-108158     -5.619533     56.37413             25
+#> 5536   VR2W-108158     -5.619533     56.37413             25
+#> 5537   VR2W-108158     -5.619533     56.37413             25
+#> 5538   VR2W-108158     -5.619533     56.37413             25
+#> 5539   VR2W-108158     -5.619533     56.37413             25
+#> 5540   VR2W-108158     -5.619533     56.37413             25
+#> 5541   VR2W-108158     -5.619533     56.37413             25
+#> 5542   VR2W-108158     -5.619533     56.37413             25
+#> 5543   VR2W-108158     -5.619533     56.37413             25
+#> 5544   VR2W-108158     -5.619533     56.37413             25
+#> 5545   VR2W-108158     -5.619533     56.37413             25
+#> 5546   VR2W-108158     -5.619533     56.37413             25
+#> 5547   VR2W-108158     -5.619533     56.37413             25
+#> 5548   VR2W-108158     -5.619533     56.37413             25
+#> 5549   VR2W-108158     -5.619533     56.37413             25
+#> 5550   VR2W-108158     -5.619533     56.37413             25
+#> 5551   VR2W-108158     -5.619533     56.37413             25
+#> 5552   VR2W-108158     -5.619533     56.37413             25
+#> 5553   VR2W-108158     -5.619533     56.37413             25
+#> 5554  VR2AR-546131     -5.612700     56.37988             35
+#> 5555  VR2AR-546131     -5.612700     56.37988             35
+#> 5556  VR2AR-546131     -5.612700     56.37988             35
+#> 5557  VR2AR-546131     -5.612700     56.37988             35
+#> 5558  VR2AR-546131     -5.612700     56.37988             35
+#> 5559  VR2AR-546131     -5.612700     56.37988             35
+#> 5560  VR2AR-546131     -5.612700     56.37988             35
+#> 5561  VR2AR-546131     -5.612700     56.37988             35
+#> 5562  VR2AR-546131     -5.612700     56.37988             35
+#> 5563  VR2AR-546131     -5.612700     56.37988             35
+#> 5564  VR2AR-546131     -5.612700     56.37988             35
+#> 5565  VR2AR-546131     -5.612700     56.37988             35
+#> 5566  VR2AR-546131     -5.612700     56.37988             35
+#> 5567  VR2AR-546131     -5.612700     56.37988             35
+#> 5568  VR2AR-546131     -5.612700     56.37988             35
+#> 5569  VR2AR-546131     -5.612700     56.37988             35
+#> 5570  VR2AR-546131     -5.612700     56.37988             35
+#> 5571  VR2AR-546131     -5.612700     56.37988             35
+#> 5572  VR2AR-546131     -5.612700     56.37988             35
+#> 5573  VR2AR-546131     -5.612700     56.37988             35
+#> 5574  VR2AR-546131     -5.612700     56.37988             35
+#> 5575  VR2AR-546131     -5.612700     56.37988             35
+#> 5576  VR2AR-546131     -5.612700     56.37988             35
+#> 5577  VR2AR-546131     -5.612700     56.37988             35
+#> 5578  VR2AR-546131     -5.612700     56.37988             35
+#> 5579  VR2AR-546131     -5.612700     56.37988             35
+#> 5580  VR2AR-546131     -5.612700     56.37988             35
+#> 5581  VR2AR-546131     -5.612700     56.37988             35
+#> 5582  VR2AR-546131     -5.612700     56.37988             35
+#> 5583  VR2AR-546131     -5.612700     56.37988             35
+#> 5584  VR2AR-546131     -5.612700     56.37988             35
+#> 5585  VR2AR-546131     -5.612700     56.37988             35
+#> 5586  VR2AR-546380     -5.637917     56.44800             25
+#> 5587  VR2AR-546380     -5.637917     56.44800             25
+#> 5588  VR2AR-546380     -5.637917     56.44800             25
+#> 5589   VR2W-108161     -5.605383     56.46018             25
+#> 5590   VR2W-108161     -5.605383     56.46018             25
+#> 5591   VR2W-108161     -5.605383     56.46018             25
+#> 5592   VR2W-108161     -5.605383     56.46018             25
+#> 5593   VR2W-108161     -5.605383     56.46018             25
+#> 5594   VR2W-108161     -5.605383     56.46018             25
+#> 5595   VR2W-108161     -5.605383     56.46018             25
+#> 5596   VR2W-108161     -5.605383     56.46018             25
+#> 5597   VR2W-108161     -5.605383     56.46018             25
+#> 5598   VR2W-108161     -5.605383     56.46018             25
+#> 5599   VR2W-108161     -5.605383     56.46018             25
+#> 5600   VR2W-108161     -5.605383     56.46018             25
+#> 5601   VR2W-108161     -5.605383     56.46018             25
+#> 5602   VR2W-108161     -5.605383     56.46018             25
+#> 5603  VR2AR-546380     -5.637917     56.44800             25
+#> 5604  VR2AR-546380     -5.637917     56.44800             25
+#> 5605  VR2AR-546380     -5.637917     56.44800             25
+#> 5606  VR2AR-546380     -5.637917     56.44800             25
+#> 5607  VR2AR-546380     -5.637917     56.44800             25
+#> 5608  VR2AR-546380     -5.637917     56.44800             25
+#> 5609  VR2AR-546380     -5.637917     56.44800             25
+#> 5610  VR2AR-546380     -5.637917     56.44800             25
+#> 5611  VR2AR-546380     -5.637917     56.44800             25
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+#> 5613  VR2AR-546136     -5.626250     56.44810             75
+#> 5614  VR2AR-546136     -5.626250     56.44810             75
+#> 5615  VR2AR-546131     -5.612700     56.37988             35
+#> 5616  VR2AR-546131     -5.612700     56.37988             35
+#> 5617  VR2AR-546131     -5.612700     56.37988             35
+#> 5618  VR2AR-546131     -5.612700     56.37988             35
+#> 5619  VR2AR-546131     -5.612700     56.37988             35
+#> 5620  VR2AR-546131     -5.612700     56.37988             35
+#> 5621  VR2AR-546131     -5.612700     56.37988             35
+#> 5622  VR2AR-546131     -5.612700     56.37988             35
+#> 5623  VR2AR-546131     -5.612700     56.37988             35
+#> 5624  VR2AR-546131     -5.612700     56.37988             35
+#> 5625  VR2AR-546131     -5.612700     56.37988             35
+#> 5626  VR2AR-546131     -5.612700     56.37988             35
+#> 5627  VR2AR-546131     -5.612700     56.37988             35
+#> 5628  VR2AR-546131     -5.612700     56.37988             35
+#> 5629  VR2AR-546131     -5.612700     56.37988             35
+#> 5630  VR2AR-546131     -5.612700     56.37988             35
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+#> 5632  VR2AR-546131     -5.612700     56.37988             35
+#> 5633  VR2AR-546131     -5.612700     56.37988             35
+#> 5634  VR2AR-546131     -5.612700     56.37988             35
+#> 5635  VR2AR-546131     -5.612700     56.37988             35
+#> 5636  VR2AR-546131     -5.612700     56.37988             35
+#> 5637  VR2AR-546131     -5.612700     56.37988             35
+#> 5638  VR2AR-546131     -5.612700     56.37988             35
+#> 5639  VR2AR-546131     -5.612700     56.37988             35
+#> 5640  VR2AR-546131     -5.612700     56.37988             35
+#> 5641  VR2AR-546131     -5.612700     56.37988             35
+#> 5642  VR2AR-546131     -5.612700     56.37988             35
+#> 5643  VR2AR-546131     -5.612700     56.37988             35
+#> 5644  VR2AR-546131     -5.612700     56.37988             35
+#> 5645  VR2AR-546131     -5.612700     56.37988             35
+#> 5646  VR2AR-546136     -5.626250     56.44810             75
+#> 5647  VR2AR-546136     -5.626250     56.44810             75
+#> 5648  VR2AR-546136     -5.626250     56.44810             75
+#> 5649   VR2W-108161     -5.605383     56.46018             25
+#> 5650   VR2W-108161     -5.605383     56.46018             25
+#> 5651  VR2AR-546136     -5.626250     56.44810             75
+#> 5652  VR2AR-546136     -5.626250     56.44810             75
+#> 5653  VR2AR-546136     -5.626250     56.44810             75
+#> 5654  VR2AR-546136     -5.626250     56.44810             75
+#> 5655  VR2AR-546136     -5.626250     56.44810             75
+#> 5656  VR2AR-546136     -5.626250     56.44810             75
+#> 5657  VR2AR-546380     -5.637917     56.44800             25
+#> 5658  VR2AR-546380     -5.637917     56.44800             25
+#> 5659  VR2AR-546136     -5.626250     56.44810             75
+#> 5660  VR2AR-546136     -5.626250     56.44810             75
+#> 5661  VR2AR-546136     -5.626250     56.44810             75
+#> 5662  VR2AR-546136     -5.626250     56.44810             75
+#> 5663  VR2AR-546136     -5.626250     56.44810             75
+#> 5664  VR2AR-546136     -5.626250     56.44810             75
+#> 5665  VR2AR-546136     -5.626250     56.44810             75
+#> 5666  VR2AR-546136     -5.626250     56.44810             75
+#> 5667  VR2AR-546131     -5.612700     56.37988             35
+#> 5668  VR2AR-546131     -5.612700     56.37988             35
+#> 5669  VR2AR-546131     -5.612700     56.37988             35
+#> 5670  VR2AR-546131     -5.612700     56.37988             35
+#> 5671  VR2AR-546131     -5.612700     56.37988             35
+#> 5672  VR2AR-546131     -5.612700     56.37988             35
+#> 5673  VR2AR-546131     -5.612700     56.37988             35
+#> 5674  VR2AR-546131     -5.612700     56.37988             35
+#> 5675  VR2AR-546131     -5.612700     56.37988             35
+#> 5676  VR2AR-546131     -5.612700     56.37988             35
+#> 5677  VR2AR-546131     -5.612700     56.37988             35
+#> 5678  VR2AR-546131     -5.612700     56.37988             35
+#> 5679  VR2AR-546131     -5.612700     56.37988             35
+#> 5680  VR2AR-546131     -5.612700     56.37988             35
+#> 5681  VR2AR-546131     -5.612700     56.37988             35
+#> 5682  VR2AR-546131     -5.612700     56.37988             35
+#> 5683  VR2AR-546131     -5.612700     56.37988             35
+#> 5684  VR2AR-546131     -5.612700     56.37988             35
+#> 5685  VR2AR-546131     -5.612700     56.37988             35
+#> 5686  VR2AR-546131     -5.612700     56.37988             35
+#> 5687  VR2AR-546131     -5.612700     56.37988             35
+#> 5688  VR2AR-546131     -5.612700     56.37988             35
+#> 5689  VR2AR-546131     -5.612700     56.37988             35
+#> 5690  VR2AR-546131     -5.612700     56.37988             35
+#> 5691  VR2AR-546131     -5.612700     56.37988             35
+#> 5692  VR2AR-546131     -5.612700     56.37988             35
+#> 5693  VR2AR-546136     -5.626250     56.44810             75
+#> 5694  VR2AR-546136     -5.626250     56.44810             75
+#> 5695  VR2AR-546136     -5.626250     56.44810             75
+#> 5696  VR2AR-546136     -5.626250     56.44810             75
+#> 5697  VR2AR-546136     -5.626250     56.44810             75
+#> 5698  VR2AR-546136     -5.626250     56.44810             75
+#> 5699  VR2AR-546136     -5.626250     56.44810             75
+#> 5700  VR2AR-546136     -5.626250     56.44810             75
+#> 5701  VR2AR-546136     -5.626250     56.44810             75
+#> 5702  VR2AR-546136     -5.626250     56.44810             75
+#> 5703  VR2AR-546136     -5.626250     56.44810             75
+#> 5704  VR2AR-546136     -5.626250     56.44810             75
+#> 5705  VR2AR-546380     -5.637917     56.44800             25
+#> 5706  VR2AR-546380     -5.637917     56.44800             25
+#> 5707  VR2AR-546380     -5.637917     56.44800             25
+#> 5708  VR2AR-546380     -5.637917     56.44800             25
+#> 5709  VR2AR-546380     -5.637917     56.44800             25
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+#> 5713  VR2AR-546380     -5.637917     56.44800             25
+#> 5714  VR2AR-546380     -5.637917     56.44800             25
+#> 5715  VR2AR-546380     -5.637917     56.44800             25
+#> 5716  VR2AR-546380     -5.637917     56.44800             25
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+#> 5732  VR2AR-546133     -5.701717     56.49747             90
+#> 5733  VR2AR-546133     -5.701717     56.49747             90
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+#> 5740  VR2AR-546133     -5.701717     56.49747             90
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+#> 5743      VR2-5637     -5.692417     56.49913             25
+#> 5744      VR2-5637     -5.692417     56.49913             25
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+#> 5751      VR2-5637     -5.692417     56.49913             25
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+#> 5753      VR2-5637     -5.692417     56.49913             25
+#> 5754      VR2-5637     -5.692417     56.49913             25
+#> 5755      VR2-5637     -5.692417     56.49913             25
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+#> 5757      VR2-5637     -5.692417     56.49913             25
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+#> 5759      VR2-5637     -5.692417     56.49913             25
+#> 5760      VR2-5637     -5.692417     56.49913             25
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+#> 5762   VR2W-108161     -5.605383     56.46018             25
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+#> 5765   VR2W-108161     -5.605383     56.46018             25
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+#> 5769   VR2W-108161     -5.605383     56.46018             25
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+#> 5771   VR2W-108161     -5.605383     56.46018             25
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+#> 5782   VR2W-108161     -5.605383     56.46018             25
+#> 5783   VR2W-108161     -5.605383     56.46018             25
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+#> 5860  VR2AR-546131     -5.612700     56.37988             35
+#> 5861  VR2AR-546131     -5.612700     56.37988             35
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+#> 6001  VR2AR-546131     -5.612700     56.37988             35
+#> 6002  VR2AR-546131     -5.612700     56.37988             35
+#> 6003  VR2AR-546131     -5.612700     56.37988             35
+#> 6004  VR2AR-546131     -5.612700     56.37988             35
+#> 6005  VR2AR-546131     -5.612700     56.37988             35
+#> 6006  VR2AR-546131     -5.612700     56.37988             35
+#> 6007  VR2AR-546131     -5.612700     56.37988             35
+#> 6008  VR2AR-546131     -5.612700     56.37988             35
+#> 6009  VR2AR-546131     -5.612700     56.37988             35
+#> 6010  VR2AR-546131     -5.612700     56.37988             35
+#> 6011  VR2AR-546131     -5.612700     56.37988             35
+#> 6012  VR2AR-546131     -5.612700     56.37988             35
+#> 6013  VR2AR-546131     -5.612700     56.37988             35
+#> 6014  VR2AR-546131     -5.612700     56.37988             35
+#> 6015  VR2AR-546131     -5.612700     56.37988             35
+#> 6016  VR2AR-546131     -5.612700     56.37988             35
+#> 6017  VR2AR-546131     -5.612700     56.37988             35
+#> 6018  VR2AR-546131     -5.612700     56.37988             35
+#> 6019  VR2AR-546131     -5.612700     56.37988             35
+#> 6020  VR2AR-546131     -5.612700     56.37988             35
+#> 6021  VR2AR-546131     -5.612700     56.37988             35
+#> 6022  VR2AR-546131     -5.612700     56.37988             35
+#> 6023  VR2AR-546131     -5.612700     56.37988             35
+#> 6024  VR2AR-546131     -5.612700     56.37988             35
+#> 6025  VR2AR-546131     -5.612700     56.37988             35
+#> 6026  VR2AR-546131     -5.612700     56.37988             35
+#> 6027  VR2AR-546131     -5.612700     56.37988             35
+#> 6028  VR2AR-546131     -5.612700     56.37988             35
+#> 6029  VR2AR-546131     -5.612700     56.37988             35
+#> 6030  VR2AR-546131     -5.612700     56.37988             35
+#> 6031  VR2AR-546131     -5.612700     56.37988             35
+#> 6032  VR2AR-546131     -5.612700     56.37988             35
+#> 6033  VR2AR-546131     -5.612700     56.37988             35
+#> 6034  VR2AR-546131     -5.612700     56.37988             35
+#> 6035  VR2AR-546131     -5.612700     56.37988             35
+#> 6036  VR2AR-546131     -5.612700     56.37988             35
+#> 6037  VR2AR-546131     -5.612700     56.37988             35
+#> 6038  VR2AR-546131     -5.612700     56.37988             35
+#> 6039  VR2AR-546131     -5.612700     56.37988             35
+#> 6040  VR2AR-546131     -5.612700     56.37988             35
+#> 6041  VR2AR-546131     -5.612700     56.37988             35
+#> 6042  VR2AR-546131     -5.612700     56.37988             35
+#> 6043  VR2AR-546131     -5.612700     56.37988             35
+#> 6044  VR2AR-546131     -5.612700     56.37988             35
+#> 6045  VR2AR-546131     -5.612700     56.37988             35
+#> 6046  VR2AR-546131     -5.612700     56.37988             35
+#> 6047  VR2AR-546131     -5.612700     56.37988             35
+#> 6048  VR2AR-546131     -5.612700     56.37988             35
+#> 6049  VR2AR-546131     -5.612700     56.37988             35
+#> 6050  VR2AR-546131     -5.612700     56.37988             35
+#> 6051  VR2AR-546131     -5.612700     56.37988             35
+#> 6052  VR2AR-546380     -5.637917     56.44800             25
+#> 6053  VR2AR-546380     -5.637917     56.44800             25
+#> 6054  VR2AR-546380     -5.637917     56.44800             25
+#> 6055  VR2AR-546380     -5.637917     56.44800             25
+#> 6056  VR2AR-546380     -5.637917     56.44800             25
+#> 6057  VR2AR-546136     -5.626250     56.44810             75
+#> 6058  VR2AR-546136     -5.626250     56.44810             75
+#> 6059  VR2AR-546136     -5.626250     56.44810             75
+#> 6060  VR2AR-546136     -5.626250     56.44810             75
+#> 6061  VR2AR-546136     -5.626250     56.44810             75
+#> 6062  VR2AR-546136     -5.626250     56.44810             75
+#> 6063  VR2AR-546136     -5.626250     56.44810             75
+#> 6064  VR2AR-546136     -5.626250     56.44810             75
+#> 6065  VR2AR-546136     -5.626250     56.44810             75
+#> 6066  VR2AR-546134     -5.643867     56.38278            145
+#> 6067  VR2AR-546134     -5.643867     56.38278            145
+#> 6068  VR2AR-546134     -5.643867     56.38278            145
+#> 6069  VR2AR-546134     -5.643867     56.38278            145
+#> 6070  VR2AR-546134     -5.643867     56.38278            145
+#> 6071  VR2AR-546134     -5.643867     56.38278            145
+#> 6072  VR2AR-546134     -5.643867     56.38278            145
+#> 6073  VR2AR-546134     -5.643867     56.38278            145
+#> 6074  VR2AR-546134     -5.643867     56.38278            145
+#> 6075  VR2AR-546134     -5.643867     56.38278            145
+#> 6076  VR2AR-546134     -5.643867     56.38278            145
+#> 6077  VR2AR-546134     -5.643867     56.38278            145
+#> 6078  VR2AR-546134     -5.643867     56.38278            145
+#> 6079  VR2AR-546134     -5.643867     56.38278            145
+#> 6080  VR2AR-546134     -5.643867     56.38278            145
+#> 6081  VR2AR-546134     -5.643867     56.38278            145
+#> 6082  VR2AR-546134     -5.643867     56.38278            145
+#> 6083  VR2AR-546134     -5.643867     56.38278            145
+#> 6084  VR2AR-546134     -5.643867     56.38278            145
+#> 6085  VR2AR-546134     -5.643867     56.38278            145
+#> 6086  VR2AR-546134     -5.643867     56.38278            145
+#> 6087  VR2AR-546134     -5.643867     56.38278            145
+#> 6088  VR2AR-546134     -5.643867     56.38278            145
+#> 6089  VR2AR-546134     -5.643867     56.38278            145
+#> 6090  VR2AR-546134     -5.643867     56.38278            145
+#> 6091  VR2AR-546134     -5.643867     56.38278            145
+#> 6092  VR2AR-546134     -5.643867     56.38278            145
+#> 6093  VR2AR-546134     -5.643867     56.38278            145
+#> 6094  VR2AR-546134     -5.643867     56.38278            145
+#> 6095  VR2AR-546134     -5.643867     56.38278            145
+#> 6096  VR2AR-546134     -5.643867     56.38278            145
+#> 6097  VR2AR-546134     -5.643867     56.38278            145
+#> 6098  VR2AR-546134     -5.643867     56.38278            145
+#> 6099  VR2AR-546134     -5.643867     56.38278            145
+#> 6100  VR2AR-546134     -5.643867     56.38278            145
+#> 6101  VR2AR-546134     -5.643867     56.38278            145
+#> 6102  VR2AR-546134     -5.643867     56.38278            145
+#> 6103  VR2AR-546134     -5.643867     56.38278            145
+#> 6104  VR2AR-546134     -5.643867     56.38278            145
+#> 6105  VR2AR-546131     -5.612700     56.37988             35
+#> 6106  VR2AR-546131     -5.612700     56.37988             35
+#> 6107  VR2AR-546131     -5.612700     56.37988             35
+#> 6108  VR2AR-546131     -5.612700     56.37988             35
+#> 6109  VR2AR-546131     -5.612700     56.37988             35
+#> 6110  VR2AR-546131     -5.612700     56.37988             35
+#> 6111  VR2AR-546131     -5.612700     56.37988             35
+#> 6112  VR2AR-546131     -5.612700     56.37988             35
+#> 6113  VR2AR-546131     -5.612700     56.37988             35
+#> 6114  VR2AR-546131     -5.612700     56.37988             35
+#> 6115  VR2AR-546131     -5.612700     56.37988             35
+#> 6116  VR2AR-546131     -5.612700     56.37988             35
+#> 6117  VR2AR-546131     -5.612700     56.37988             35
+#> 6118  VR2AR-546131     -5.612700     56.37988             35
+#> 6119  VR2AR-546131     -5.612700     56.37988             35
+#> 6120  VR2AR-546131     -5.612700     56.37988             35
+#> 6121  VR2AR-546131     -5.612700     56.37988             35
+#> 6122  VR2AR-546131     -5.612700     56.37988             35
+#> 6123  VR2AR-546131     -5.612700     56.37988             35
+#> 6124  VR2AR-546131     -5.612700     56.37988             35
+#> 6125  VR2AR-546131     -5.612700     56.37988             35
+#> 6126  VR2AR-546131     -5.612700     56.37988             35
+#> 6127  VR2AR-546131     -5.612700     56.37988             35
+#> 6128  VR2AR-546131     -5.612700     56.37988             35
+#> 6129  VR2AR-546131     -5.612700     56.37988             35
+#> 6130  VR2AR-546131     -5.612700     56.37988             35
+#> 6131  VR2AR-546131     -5.612700     56.37988             35
+#> 6132  VR2AR-546131     -5.612700     56.37988             35
+#> 6133  VR2AR-546131     -5.612700     56.37988             35
+#> 6134  VR2AR-546131     -5.612700     56.37988             35
+#> 6135  VR2AR-546131     -5.612700     56.37988             35
+#> 6136  VR2AR-546134     -5.643867     56.38278            145
+#> 6137  VR2AR-546134     -5.643867     56.38278            145
+#> 6138  VR2AR-546134     -5.643867     56.38278            145
+#> 6139  VR2AR-546134     -5.643867     56.38278            145
+#> 6140  VR2AR-546134     -5.643867     56.38278            145
+#> 6141  VR2AR-546134     -5.643867     56.38278            145
+#> 6142  VR2AR-546134     -5.643867     56.38278            145
+#> 6143  VR2AR-546134     -5.643867     56.38278            145
+#> 6144  VR2AR-546134     -5.643867     56.38278            145
+#> 6145  VR2AR-546134     -5.643867     56.38278            145
+#> 6146  VR2AR-546134     -5.643867     56.38278            145
+#> 6147  VR2AR-546134     -5.643867     56.38278            145
+#> 6148  VR2AR-546134     -5.643867     56.38278            145
+#> 6149  VR2AR-546134     -5.643867     56.38278            145
+#> 6150  VR2AR-546134     -5.643867     56.38278            145
+#> 6151  VR2AR-546136     -5.626250     56.44810             75
+#> 6152  VR2AR-546136     -5.626250     56.44810             75
+#> 6153      VR2-5637     -5.692417     56.49913             25
+#> 6154      VR2-5637     -5.692417     56.49913             25
+#> 6155      VR2-5637     -5.692417     56.49913             25
+#> 6156   VR2W-108161     -5.605383     56.46018             25
+#> 6157   VR2W-108161     -5.605383     56.46018             25
+#> 6158   VR2W-108161     -5.605383     56.46018             25
+#> 6159   VR2W-108161     -5.605383     56.46018             25
+#> 6160   VR2W-108161     -5.605383     56.46018             25
+#> 6161   VR2W-108161     -5.605383     56.46018             25
+#> 6162   VR2W-108161     -5.605383     56.46018             25
+#> 6163   VR2W-108161     -5.605383     56.46018             25
+#> 6164   VR2W-108161     -5.605383     56.46018             25
+#> 6165   VR2W-108161     -5.605383     56.46018             25
+#> 6166   VR2W-108161     -5.605383     56.46018             25
+#> 6167   VR2W-108161     -5.605383     56.46018             25
+#> 6168   VR2W-108161     -5.605383     56.46018             25
+#> 6169   VR2W-108161     -5.605383     56.46018             25
+#> 6170   VR2W-108161     -5.605383     56.46018             25
+#> 6171  VR2AR-546136     -5.626250     56.44810             75
+#> 6172  VR2AR-546136     -5.626250     56.44810             75
+#> 6173  VR2AR-546131     -5.612700     56.37988             35
+#> 6174  VR2AR-546131     -5.612700     56.37988             35
+#> 6175  VR2AR-546131     -5.612700     56.37988             35
+#> 6176  VR2AR-546131     -5.612700     56.37988             35
+#> 6177  VR2AR-546131     -5.612700     56.37988             35
+#> 6178  VR2AR-546131     -5.612700     56.37988             35
+#> 6179  VR2AR-546131     -5.612700     56.37988             35
+#> 6180  VR2AR-546131     -5.612700     56.37988             35
+#> 6181  VR2AR-546131     -5.612700     56.37988             35
+#> 6182  VR2AR-546131     -5.612700     56.37988             35
+#> 6183  VR2AR-546131     -5.612700     56.37988             35
+#> 6184  VR2AR-546131     -5.612700     56.37988             35
+#> 6185  VR2AR-546131     -5.612700     56.37988             35
+#> 6186  VR2AR-546131     -5.612700     56.37988             35
+#> 6187  VR2AR-546131     -5.612700     56.37988             35
+#> 6188  VR2AR-546131     -5.612700     56.37988             35
+#> 6189  VR2AR-546131     -5.612700     56.37988             35
+#> 6190  VR2AR-546131     -5.612700     56.37988             35
+#> 6191  VR2AR-546131     -5.612700     56.37988             35
+#> 6192  VR2AR-546131     -5.612700     56.37988             35
+#> 6193  VR2AR-546131     -5.612700     56.37988             35
+#> 6194  VR2AR-546131     -5.612700     56.37988             35
+#> 6195  VR2AR-546131     -5.612700     56.37988             35
+#> 6196  VR2AR-546131     -5.612700     56.37988             35
+#> 6197  VR2AR-546131     -5.612700     56.37988             35
+#> 6198  VR2AR-546131     -5.612700     56.37988             35
+#> 6199  VR2AR-546131     -5.612700     56.37988             35
+#> 6200  VR2AR-546131     -5.612700     56.37988             35
+#> 6201  VR2AR-546131     -5.612700     56.37988             35
+#> 6202  VR2AR-546131     -5.612700     56.37988             35
+#> 6203  VR2AR-546131     -5.612700     56.37988             35
+#> 6204  VR2AR-546131     -5.612700     56.37988             35
+#> 6205  VR2AR-546131     -5.612700     56.37988             35
+#> 6206  VR2AR-546131     -5.612700     56.37988             35
+#> 6207  VR2AR-546131     -5.612700     56.37988             35
+#> 6208  VR2AR-546131     -5.612700     56.37988             35
+#> 6209  VR2AR-546131     -5.612700     56.37988             35
+#> 6210  VR2AR-546131     -5.612700     56.37988             35
+#> 6211  VR2AR-546131     -5.612700     56.37988             35
+#> 6212  VR2AR-546131     -5.612700     56.37988             35
+#> 6213  VR2AR-546380     -5.637917     56.44800             25
+#> 6214  VR2AR-546380     -5.637917     56.44800             25
+#> 6215  VR2AR-546380     -5.637917     56.44800             25
+#> 6216  VR2AR-546380     -5.637917     56.44800             25
+#> 6217  VR2AR-546380     -5.637917     56.44800             25
+#> 6218  VR2AR-546380     -5.637917     56.44800             25
+#> 6219  VR2AR-546380     -5.637917     56.44800             25
+#> 6220  VR2AR-546380     -5.637917     56.44800             25
+#> 6221  VR2AR-546380     -5.637917     56.44800             25
+#> 6222  VR2AR-546133     -5.701717     56.49747             90
+#> 6223  VR2AR-546133     -5.701717     56.49747             90
+#> 6224  VR2AR-546133     -5.701717     56.49747             90
+#> 6225  VR2AR-546133     -5.701717     56.49747             90
+#> 6226  VR2AR-546133     -5.701717     56.49747             90
+#> 6227  VR2AR-546133     -5.701717     56.49747             90
+#> 6228  VR2AR-546133     -5.701717     56.49747             90
+#> 6229      VR2-5637     -5.692417     56.49913             25
+#> 6230      VR2-5637     -5.692417     56.49913             25
+#> 6231      VR2-5637     -5.692417     56.49913             25
+#> 6232      VR2-5637     -5.692417     56.49913             25
+#> 6233  VR2AR-546133     -5.701717     56.49747             90
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+#> 6235  VR2AR-546133     -5.701717     56.49747             90
+#> 6236  VR2AR-546133     -5.701717     56.49747             90
+#> 6237  VR2AR-546133     -5.701717     56.49747             90
+#> 6238  VR2AR-546133     -5.701717     56.49747             90
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+#> 6242  VR2AR-546133     -5.701717     56.49747             90
+#> 6243  VR2AR-546133     -5.701717     56.49747             90
+#> 6244  VR2AR-546133     -5.701717     56.49747             90
+#> 6245  VR2AR-546133     -5.701717     56.49747             90
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+#> 6249  VR2AR-546133     -5.701717     56.49747             90
+#> 6250  VR2AR-546133     -5.701717     56.49747             90
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+#> 6254  VR2AR-546133     -5.701717     56.49747             90
+#> 6255  VR2AR-546133     -5.701717     56.49747             90
+#> 6256  VR2AR-546133     -5.701717     56.49747             90
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+#> 6258  VR2AR-546133     -5.701717     56.49747             90
+#> 6259  VR2AR-546133     -5.701717     56.49747             90
+#> 6260  VR2AR-546133     -5.701717     56.49747             90
+#> 6261  VR2AR-546133     -5.701717     56.49747             90
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+#> 6263  VR2AR-546133     -5.701717     56.49747             90
+#> 6264  VR2AR-546133     -5.701717     56.49747             90
+#> 6265      VR2-5637     -5.692417     56.49913             25
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+#> 6267      VR2-5637     -5.692417     56.49913             25
+#> 6268  VR2AR-546133     -5.701717     56.49747             90
+#> 6269      VR2-5637     -5.692417     56.49913             25
+#> 6270      VR2-5637     -5.692417     56.49913             25
+#> 6271      VR2-5637     -5.692417     56.49913             25
+#> 6272      VR2-5637     -5.692417     56.49913             25
+#> 6273      VR2-5637     -5.692417     56.49913             25
+#> 6274      VR2-5637     -5.692417     56.49913             25
+#> 6275      VR2-5637     -5.692417     56.49913             25
+#> 6276      VR2-5637     -5.692417     56.49913             25
+#> 6277      VR2-5637     -5.692417     56.49913             25
+#> 6278      VR2-5637     -5.692417     56.49913             25
+#> 6279      VR2-5637     -5.692417     56.49913             25
+#> 6280      VR2-5637     -5.692417     56.49913             25
+#> 6281      VR2-5637     -5.692417     56.49913             25
+#> 6282   VR2W-108161     -5.605383     56.46018             25
+#> 6283   VR2W-108161     -5.605383     56.46018             25
+#> 6284   VR2W-108161     -5.605383     56.46018             25
+#> 6285   VR2W-108161     -5.605383     56.46018             25
+#> 6286   VR2W-108161     -5.605383     56.46018             25
+#> 6287   VR2W-108161     -5.605383     56.46018             25
+#> 6288   VR2W-108161     -5.605383     56.46018             25
+#> 6289   VR2W-108161     -5.605383     56.46018             25
+#> 6290   VR2W-108161     -5.605383     56.46018             25
+#> 6291   VR2W-108161     -5.605383     56.46018             25
+#> 6292   VR2W-108161     -5.605383     56.46018             25
+#> 6293   VR2W-108161     -5.605383     56.46018             25
+#> 6294   VR2W-108161     -5.605383     56.46018             25
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+#> 6297   VR2W-108161     -5.605383     56.46018             25
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+#> 6299   VR2W-108161     -5.605383     56.46018             25
+#> 6300   VR2W-108161     -5.605383     56.46018             25
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+#> 6304   VR2W-108161     -5.605383     56.46018             25
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+#> 6306   VR2W-108161     -5.605383     56.46018             25
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+#> 6310   VR2W-108161     -5.605383     56.46018             25
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+#> 6314   VR2W-108161     -5.605383     56.46018             25
+#> 6315   VR2W-108161     -5.605383     56.46018             25
+#> 6316   VR2W-108161     -5.605383     56.46018             25
+#> 6317   VR2W-108161     -5.605383     56.46018             25
+#> 6318   VR2W-108161     -5.605383     56.46018             25
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+#> 6373   VR2W-108161     -5.605383     56.46018             25
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+#> 6490  VR2AR-546131     -5.612700     56.37988             35
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+#> 6500   VR2W-108158     -5.619533     56.37413             25
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+#> 6587  VR2AR-546131     -5.612700     56.37988             35
+#> 6588  VR2AR-546131     -5.612700     56.37988             35
+#> 6589  VR2AR-546131     -5.612700     56.37988             35
+#> 6590  VR2AR-546131     -5.612700     56.37988             35
+#> 6591  VR2AR-546131     -5.612700     56.37988             35
+#> 6592  VR2AR-546131     -5.612700     56.37988             35
+#> 6593  VR2AR-546131     -5.612700     56.37988             35
+#> 6594  VR2AR-546131     -5.612700     56.37988             35
+#> 6595  VR2AR-546131     -5.612700     56.37988             35
+#> 6596  VR2AR-546131     -5.612700     56.37988             35
+#> 6597  VR2AR-546131     -5.612700     56.37988             35
+#> 6598  VR2AR-546131     -5.612700     56.37988             35
+#> 6599  VR2AR-546131     -5.612700     56.37988             35
+#> 6600  VR2AR-546131     -5.612700     56.37988             35
+#> 6601  VR2AR-546131     -5.612700     56.37988             35
+#> 6602  VR2AR-546131     -5.612700     56.37988             35
+#> 6603  VR2AR-546131     -5.612700     56.37988             35
+#> 6604  VR2AR-546131     -5.612700     56.37988             35
+#> 6605  VR2AR-546131     -5.612700     56.37988             35
+#> 6606  VR2AR-546131     -5.612700     56.37988             35
+#> 6607  VR2AR-546131     -5.612700     56.37988             35
+#> 6608  VR2AR-546131     -5.612700     56.37988             35
+#> 6609  VR2AR-546131     -5.612700     56.37988             35
+#> 6610  VR2AR-546131     -5.612700     56.37988             35
+#> 6611  VR2AR-546131     -5.612700     56.37988             35
+#> 6612  VR2AR-546131     -5.612700     56.37988             35
+#> 6613  VR2AR-546131     -5.612700     56.37988             35
+#> 6614  VR2AR-546131     -5.612700     56.37988             35
+#> 6615  VR2AR-546131     -5.612700     56.37988             35
+#> 6616  VR2AR-546131     -5.612700     56.37988             35
+#> 6617  VR2AR-546131     -5.612700     56.37988             35
+#> 6618  VR2AR-546131     -5.612700     56.37988             35
+#> 6619  VR2AR-546131     -5.612700     56.37988             35
+#> 6620  VR2AR-546131     -5.612700     56.37988             35
+#> 6621  VR2AR-546131     -5.612700     56.37988             35
+#> 6622  VR2AR-546131     -5.612700     56.37988             35
+#> 6623  VR2AR-546131     -5.612700     56.37988             35
+#> 6624  VR2AR-546131     -5.612700     56.37988             35
+#> 6625  VR2AR-546131     -5.612700     56.37988             35
+#> 6626  VR2AR-546131     -5.612700     56.37988             35
+#> 6627  VR2AR-546131     -5.612700     56.37988             35
+#> 6628  VR2AR-546131     -5.612700     56.37988             35
+#> 6629  VR2AR-546131     -5.612700     56.37988             35
+#> 6630  VR2AR-546131     -5.612700     56.37988             35
+#> 6631  VR2AR-546131     -5.612700     56.37988             35
+#> 6632  VR2AR-546131     -5.612700     56.37988             35
+#> 6633  VR2AR-546131     -5.612700     56.37988             35
+#> 6634  VR2AR-546131     -5.612700     56.37988             35
+#> 6635  VR2AR-546131     -5.612700     56.37988             35
+#> 6636  VR2AR-546131     -5.612700     56.37988             35
+#> 6637  VR2AR-546131     -5.612700     56.37988             35
+#> 6638  VR2AR-546131     -5.612700     56.37988             35
+#> 6639  VR2AR-546131     -5.612700     56.37988             35
+#> 6640  VR2AR-546131     -5.612700     56.37988             35
+#> 6641  VR2AR-546131     -5.612700     56.37988             35
+#> 6642  VR2AR-546131     -5.612700     56.37988             35
+#> 6643  VR2AR-546131     -5.612700     56.37988             35
+#> 6644  VR2AR-546131     -5.612700     56.37988             35
+#> 6645  VR2AR-546131     -5.612700     56.37988             35
+#> 6646  VR2AR-546131     -5.612700     56.37988             35
+#> 6647  VR2AR-546131     -5.612700     56.37988             35
+#> 6648  VR2AR-546131     -5.612700     56.37988             35
+#> 6649  VR2AR-546131     -5.612700     56.37988             35
+#> 6650  VR2AR-546131     -5.612700     56.37988             35
+#> 6651  VR2AR-546131     -5.612700     56.37988             35
+#> 6652  VR2AR-546131     -5.612700     56.37988             35
+#> 6653  VR2AR-546131     -5.612700     56.37988             35
+#> 6654  VR2AR-546131     -5.612700     56.37988             35
+#> 6655  VR2AR-546131     -5.612700     56.37988             35
+#> 6656  VR2AR-546131     -5.612700     56.37988             35
+#> 6657  VR2AR-546131     -5.612700     56.37988             35
+#> 6658  VR2AR-546131     -5.612700     56.37988             35
+#> 6659  VR2AR-546131     -5.612700     56.37988             35
+#> 6660  VR2AR-546131     -5.612700     56.37988             35
+#> 6661  VR2AR-546131     -5.612700     56.37988             35
+#> 6662  VR2AR-546131     -5.612700     56.37988             35
+#> 6663  VR2AR-546131     -5.612700     56.37988             35
+#> 6664  VR2AR-546131     -5.612700     56.37988             35
+#> 6665  VR2AR-546131     -5.612700     56.37988             35
+#> 6666  VR2AR-546131     -5.612700     56.37988             35
+#> 6667  VR2AR-546131     -5.612700     56.37988             35
+#> 6668  VR2AR-546131     -5.612700     56.37988             35
+#> 6669  VR2AR-546131     -5.612700     56.37988             35
+#> 6670  VR2AR-546131     -5.612700     56.37988             35
+#> 6671  VR2AR-546131     -5.612700     56.37988             35
+#> 6672  VR2AR-546131     -5.612700     56.37988             35
+#> 6673  VR2AR-546131     -5.612700     56.37988             35
+#> 6674  VR2AR-546131     -5.612700     56.37988             35
+#> 6675  VR2AR-546131     -5.612700     56.37988             35
+#> 6676  VR2AR-546131     -5.612700     56.37988             35
+#> 6677  VR2AR-546131     -5.612700     56.37988             35
+#> 6678  VR2AR-546131     -5.612700     56.37988             35
+#> 6679  VR2AR-546131     -5.612700     56.37988             35
+#> 6680  VR2AR-546131     -5.612700     56.37988             35
+#> 6681  VR2AR-546131     -5.612700     56.37988             35
+#> 6682  VR2AR-546131     -5.612700     56.37988             35
+#> 6683  VR2AR-546131     -5.612700     56.37988             35
+#> 6684  VR2AR-546131     -5.612700     56.37988             35
+#> 6685  VR2AR-546131     -5.612700     56.37988             35
+#> 6686  VR2AR-546131     -5.612700     56.37988             35
+#> 6687  VR2AR-546131     -5.612700     56.37988             35
+#> 6688  VR2AR-546131     -5.612700     56.37988             35
+#> 6689  VR2AR-546131     -5.612700     56.37988             35
+#> 6690  VR2AR-546131     -5.612700     56.37988             35
+#> 6691  VR2AR-546131     -5.612700     56.37988             35
+#> 6692  VR2AR-546131     -5.612700     56.37988             35
+#> 6693  VR2AR-546131     -5.612700     56.37988             35
+#> 6694  VR2AR-546131     -5.612700     56.37988             35
+#> 6695  VR2AR-546131     -5.612700     56.37988             35
+#> 6696  VR2AR-546131     -5.612700     56.37988             35
+#> 6697  VR2AR-546131     -5.612700     56.37988             35
+#> 6698  VR2AR-546131     -5.612700     56.37988             35
+#> 6699  VR2AR-546131     -5.612700     56.37988             35
+#> 6700  VR2AR-546131     -5.612700     56.37988             35
+#> 6701  VR2AR-546131     -5.612700     56.37988             35
+#> 6702  VR2AR-546131     -5.612700     56.37988             35
+#> 6703  VR2AR-546131     -5.612700     56.37988             35
+#> 6704  VR2AR-546131     -5.612700     56.37988             35
+#> 6705  VR2AR-546131     -5.612700     56.37988             35
+#> 6706  VR2AR-546131     -5.612700     56.37988             35
+#> 6707  VR2AR-546131     -5.612700     56.37988             35
+#> 6708  VR2AR-546131     -5.612700     56.37988             35
+#> 6709  VR2AR-546131     -5.612700     56.37988             35
+#> 6710  VR2AR-546131     -5.612700     56.37988             35
+#> 6711  VR2AR-546131     -5.612700     56.37988             35
+#> 6712  VR2AR-546131     -5.612700     56.37988             35
+#> 6713  VR2AR-546131     -5.612700     56.37988             35
+#> 6714  VR2AR-546131     -5.612700     56.37988             35
+#> 6715  VR2AR-546131     -5.612700     56.37988             35
+#> 6716  VR2AR-546131     -5.612700     56.37988             35
+#> 6717  VR2AR-546131     -5.612700     56.37988             35
+#> 6718  VR2AR-546131     -5.612700     56.37988             35
+#> 6719  VR2AR-546131     -5.612700     56.37988             35
+#> 6720  VR2AR-546131     -5.612700     56.37988             35
+#> 6721  VR2AR-546131     -5.612700     56.37988             35
+#> 6722  VR2AR-546131     -5.612700     56.37988             35
+#> 6723  VR2AR-546131     -5.612700     56.37988             35
+#> 6724  VR2AR-546131     -5.612700     56.37988             35
+#> 6725  VR2AR-546131     -5.612700     56.37988             35
+#> 6726  VR2AR-546131     -5.612700     56.37988             35
+#> 6727  VR2AR-546131     -5.612700     56.37988             35
+#> 6728  VR2AR-546134     -5.643867     56.38278            145
+#> 6729  VR2AR-546134     -5.643867     56.38278            145
+#> 6730  VR2AR-546134     -5.643867     56.38278            145
+#> 6731  VR2AR-546134     -5.643867     56.38278            145
+#> 6732  VR2AR-546134     -5.643867     56.38278            145
+#> 6733  VR2AR-546134     -5.643867     56.38278            145
+#> 6734  VR2AR-546134     -5.643867     56.38278            145
+#> 6735  VR2AR-546134     -5.643867     56.38278            145
+#> 6736  VR2AR-546134     -5.643867     56.38278            145
+#> 6737  VR2AR-546134     -5.643867     56.38278            145
+#> 6738  VR2AR-546134     -5.643867     56.38278            145
+#> 6739  VR2AR-546134     -5.643867     56.38278            145
+#> 6740  VR2AR-546134     -5.643867     56.38278            145
+#> 6741  VR2AR-546134     -5.643867     56.38278            145
+#> 6742  VR2AR-546134     -5.643867     56.38278            145
+#> 6743  VR2AR-546134     -5.643867     56.38278            145
+#> 6744  VR2AR-546136     -5.626250     56.44810             75
+#> 6745  VR2AR-546136     -5.626250     56.44810             75
+#> 6746  VR2AR-546131     -5.612700     56.37988             35
+#> 6747  VR2AR-546131     -5.612700     56.37988             35
+#> 6748  VR2AR-546131     -5.612700     56.37988             35
+#> 6749  VR2AR-546131     -5.612700     56.37988             35
+#> 6750  VR2AR-546131     -5.612700     56.37988             35
+#> 6751  VR2AR-546131     -5.612700     56.37988             35
+#> 6752  VR2AR-546131     -5.612700     56.37988             35
+#> 6753  VR2AR-546131     -5.612700     56.37988             35
+#> 6754  VR2AR-546131     -5.612700     56.37988             35
+#> 6755  VR2AR-546131     -5.612700     56.37988             35
+#> 6756  VR2AR-546131     -5.612700     56.37988             35
+#> 6757  VR2AR-546131     -5.612700     56.37988             35
+#> 6758  VR2AR-546131     -5.612700     56.37988             35
+#> 6759  VR2AR-546131     -5.612700     56.37988             35
+#> 6760  VR2AR-546131     -5.612700     56.37988             35
+#> 6761  VR2AR-546131     -5.612700     56.37988             35
+#> 6762  VR2AR-546131     -5.612700     56.37988             35
+#> 6763  VR2AR-546131     -5.612700     56.37988             35
+#> 6764  VR2AR-546131     -5.612700     56.37988             35
+#> 6765  VR2AR-546131     -5.612700     56.37988             35
+#> 6766  VR2AR-546131     -5.612700     56.37988             35
+#> 6767  VR2AR-546131     -5.612700     56.37988             35
+#> 6768  VR2AR-546131     -5.612700     56.37988             35
+#> 6769  VR2AR-546131     -5.612700     56.37988             35
+#> 6770  VR2AR-546131     -5.612700     56.37988             35
+#> 6771  VR2AR-546131     -5.612700     56.37988             35
+#> 6772  VR2AR-546131     -5.612700     56.37988             35
+#> 6773  VR2AR-546131     -5.612700     56.37988             35
+#> 6774  VR2AR-546131     -5.612700     56.37988             35
+#> 6775  VR2AR-546131     -5.612700     56.37988             35
+#> 6776  VR2AR-546131     -5.612700     56.37988             35
+#> 6777  VR2AR-546131     -5.612700     56.37988             35
+#> 6778  VR2AR-546131     -5.612700     56.37988             35
+#> 6779  VR2AR-546131     -5.612700     56.37988             35
+#> 6780  VR2AR-546131     -5.612700     56.37988             35
+#> 6781  VR2AR-546131     -5.612700     56.37988             35
+#> 6782  VR2AR-546131     -5.612700     56.37988             35
+#> 6783  VR2AR-546131     -5.612700     56.37988             35
+#> 6784  VR2AR-546131     -5.612700     56.37988             35
+#> 6785  VR2AR-546131     -5.612700     56.37988             35
+#> 6786  VR2AR-546131     -5.612700     56.37988             35
+#> 6787  VR2AR-546131     -5.612700     56.37988             35
+#> 6788  VR2AR-546131     -5.612700     56.37988             35
+#> 6789  VR2AR-546131     -5.612700     56.37988             35
+#> 6790  VR2AR-546131     -5.612700     56.37988             35
+#> 6791  VR2AR-546131     -5.612700     56.37988             35
+#> 6792  VR2AR-546131     -5.612700     56.37988             35
+#> 6793  VR2AR-546131     -5.612700     56.37988             35
+#> 6794  VR2AR-546131     -5.612700     56.37988             35
+#> 6795  VR2AR-546131     -5.612700     56.37988             35
+#> 6796  VR2AR-546131     -5.612700     56.37988             35
+#> 6797  VR2AR-546131     -5.612700     56.37988             35
+#> 6798  VR2AR-546131     -5.612700     56.37988             35
+#> 6799  VR2AR-546131     -5.612700     56.37988             35
+#> 6800  VR2AR-546131     -5.612700     56.37988             35
+#> 6801  VR2AR-546131     -5.612700     56.37988             35
+#> 6802  VR2AR-546131     -5.612700     56.37988             35
+#> 6803  VR2AR-546131     -5.612700     56.37988             35
+#> 6804  VR2AR-546131     -5.612700     56.37988             35
+#> 6805  VR2AR-546131     -5.612700     56.37988             35
+#> 6806  VR2AR-546131     -5.612700     56.37988             35
+#> 6807  VR2AR-546131     -5.612700     56.37988             35
+#> 6808  VR2AR-546131     -5.612700     56.37988             35
+#> 6809  VR2AR-546131     -5.612700     56.37988             35
+#> 6810  VR2AR-546131     -5.612700     56.37988             35
+#> 6811  VR2AR-546131     -5.612700     56.37988             35
+#> 6812  VR2AR-546131     -5.612700     56.37988             35
+#> 6813  VR2AR-546131     -5.612700     56.37988             35
+#> 6814  VR2AR-546131     -5.612700     56.37988             35
+#> 6815  VR2AR-546131     -5.612700     56.37988             35
+#> 6816  VR2AR-546131     -5.612700     56.37988             35
+#> 6817  VR2AR-546131     -5.612700     56.37988             35
+#> 6818  VR2AR-546131     -5.612700     56.37988             35
+#> 6819  VR2AR-546131     -5.612700     56.37988             35
+#> 6820  VR2AR-546131     -5.612700     56.37988             35
+#> 6821  VR2AR-546131     -5.612700     56.37988             35
+#> 6822  VR2AR-546131     -5.612700     56.37988             35
+#> 6823  VR2AR-546131     -5.612700     56.37988             35
+#> 6824  VR2AR-546131     -5.612700     56.37988             35
+#> 6825  VR2AR-546131     -5.612700     56.37988             35
+#> 6826  VR2AR-546131     -5.612700     56.37988             35
+#> 6827  VR2AR-546131     -5.612700     56.37988             35
+#> 6828  VR2AR-546131     -5.612700     56.37988             35
+#> 6829  VR2AR-546131     -5.612700     56.37988             35
+#> 6830  VR2AR-546131     -5.612700     56.37988             35
+#> 6831  VR2AR-546131     -5.612700     56.37988             35
+#> 6832  VR2AR-546131     -5.612700     56.37988             35
+#> 6833  VR2AR-546131     -5.612700     56.37988             35
+#> 6834  VR2AR-546131     -5.612700     56.37988             35
+#> 6835  VR2AR-546131     -5.612700     56.37988             35
+#> 6836  VR2AR-546131     -5.612700     56.37988             35
+#> 6837  VR2AR-546131     -5.612700     56.37988             35
+#> 6838  VR2AR-546131     -5.612700     56.37988             35
+#> 6839  VR2AR-546131     -5.612700     56.37988             35
+#> 6840  VR2AR-546131     -5.612700     56.37988             35
+#> 6841  VR2AR-546131     -5.612700     56.37988             35
+#> 6842  VR2AR-546131     -5.612700     56.37988             35
+#> 6843  VR2AR-546131     -5.612700     56.37988             35
+#> 6844  VR2AR-546131     -5.612700     56.37988             35
+#> 6845  VR2AR-546131     -5.612700     56.37988             35
+#> 6846  VR2AR-546131     -5.612700     56.37988             35
+#> 6847  VR2AR-546131     -5.612700     56.37988             35
+#> 6848  VR2AR-546131     -5.612700     56.37988             35
+#> 6849  VR2AR-546131     -5.612700     56.37988             35
+#> 6850  VR2AR-546131     -5.612700     56.37988             35
+#> 6851  VR2AR-546131     -5.612700     56.37988             35
+#> 6852  VR2AR-546131     -5.612700     56.37988             35
+#> 6853  VR2AR-546131     -5.612700     56.37988             35
+#> 6854  VR2AR-546131     -5.612700     56.37988             35
+#> 6855  VR2AR-546131     -5.612700     56.37988             35
+#> 6856  VR2AR-546131     -5.612700     56.37988             35
+#> 6857  VR2AR-546131     -5.612700     56.37988             35
+#> 6858  VR2AR-546131     -5.612700     56.37988             35
+#> 6859  VR2AR-546131     -5.612700     56.37988             35
+#> 6860  VR2AR-546131     -5.612700     56.37988             35
+#> 6861  VR2AR-546131     -5.612700     56.37988             35
+#> 6862  VR2AR-546131     -5.612700     56.37988             35
+#> 6863  VR2AR-546131     -5.612700     56.37988             35
+#> 6864  VR2AR-546131     -5.612700     56.37988             35
+#> 6865  VR2AR-546131     -5.612700     56.37988             35
+#> 6866  VR2AR-546131     -5.612700     56.37988             35
+#> 6867  VR2AR-546131     -5.612700     56.37988             35
+#> 6868  VR2AR-546131     -5.612700     56.37988             35
+#> 6869  VR2AR-546131     -5.612700     56.37988             35
+#> 6870  VR2AR-546131     -5.612700     56.37988             35
+#> 6871  VR2AR-546131     -5.612700     56.37988             35
+#> 6872  VR2AR-546131     -5.612700     56.37988             35
+#> 6873  VR2AR-546131     -5.612700     56.37988             35
+#> 6874  VR2AR-546131     -5.612700     56.37988             35
+#> 6875  VR2AR-546131     -5.612700     56.37988             35
+#> 6876  VR2AR-546131     -5.612700     56.37988             35
+#> 6877  VR2AR-546131     -5.612700     56.37988             35
+#> 6878  VR2AR-546131     -5.612700     56.37988             35
+#> 6879  VR2AR-546131     -5.612700     56.37988             35
+#> 6880  VR2AR-546131     -5.612700     56.37988             35
+#> 6881  VR2AR-546131     -5.612700     56.37988             35
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+#> 6883  VR2AR-546131     -5.612700     56.37988             35
+#> 6884  VR2AR-546131     -5.612700     56.37988             35
+#> 6885  VR2AR-546131     -5.612700     56.37988             35
+#> 6886  VR2AR-546131     -5.612700     56.37988             35
+#> 6887  VR2AR-546131     -5.612700     56.37988             35
+#> 6888  VR2AR-546131     -5.612700     56.37988             35
+#> 6889  VR2AR-546131     -5.612700     56.37988             35
+#> 6890  VR2AR-546131     -5.612700     56.37988             35
+#> 6891  VR2AR-546131     -5.612700     56.37988             35
+#> 6892  VR2AR-546131     -5.612700     56.37988             35
+#> 6893  VR2AR-546131     -5.612700     56.37988             35
+#> 6894  VR2AR-546131     -5.612700     56.37988             35
+#> 6895  VR2AR-546131     -5.612700     56.37988             35
+#> 6896  VR2AR-546131     -5.612700     56.37988             35
+#> 6897  VR2AR-546131     -5.612700     56.37988             35
+#> 6898  VR2AR-546131     -5.612700     56.37988             35
+#> 6899  VR2AR-546131     -5.612700     56.37988             35
+#> 6900  VR2AR-546131     -5.612700     56.37988             35
+#> 6901  VR2AR-546131     -5.612700     56.37988             35
+#> 6902  VR2AR-546131     -5.612700     56.37988             35
+#> 6903  VR2AR-546136     -5.626250     56.44810             75
+#> 6904  VR2AR-546136     -5.626250     56.44810             75
+#> 6905  VR2AR-546136     -5.626250     56.44810             75
+#> 6906  VR2AR-546136     -5.626250     56.44810             75
+#> 6907  VR2AR-546136     -5.626250     56.44810             75
+#> 6908  VR2AR-546136     -5.626250     56.44810             75
+#> 6909      VR2-6723     -5.586383     56.50332             50
+#> 6910  VR2AR-546133     -5.701717     56.49747             90
+#> 6911  VR2AR-546133     -5.701717     56.49747             90
+#> 6912  VR2AR-546133     -5.701717     56.49747             90
+#> 6913  VR2AR-546133     -5.701717     56.49747             90
+#> 6914  VR2AR-546133     -5.701717     56.49747             90
+#> 6915  VR2AR-546133     -5.701717     56.49747             90
+#> 6916  VR2AR-546133     -5.701717     56.49747             90
+#> 6917  VR2AR-546133     -5.701717     56.49747             90
+#> 6918  VR2AR-546133     -5.701717     56.49747             90
+#> 6919  VR2AR-546133     -5.701717     56.49747             90
+#> 6920  VR2AR-546133     -5.701717     56.49747             90
+#> 6921  VR2AR-546133     -5.701717     56.49747             90
+#> 6922  VR2AR-546133     -5.701717     56.49747             90
+#> 6923  VR2AR-546133     -5.701717     56.49747             90
+#> 6924  VR2AR-546133     -5.701717     56.49747             90
+#> 6925  VR2AR-546133     -5.701717     56.49747             90
+#> 6926  VR2AR-546133     -5.701717     56.49747             90
+#> 6927  VR2AR-546133     -5.701717     56.49747             90
+#> 6928  VR2AR-546133     -5.701717     56.49747             90
+#> 6929  VR2AR-546133     -5.701717     56.49747             90
+#> 6930  VR2AR-546133     -5.701717     56.49747             90
+#> 6931  VR2AR-546133     -5.701717     56.49747             90
+#> 6932   VR2W-108161     -5.605383     56.46018             25
+#> 6933   VR2W-108161     -5.605383     56.46018             25
+#> 6934   VR2W-108161     -5.605383     56.46018             25
+#> 6935   VR2W-108161     -5.605383     56.46018             25
+#> 6936   VR2W-108161     -5.605383     56.46018             25
+#> 6937   VR2W-108161     -5.605383     56.46018             25
+#> 6938   VR2W-108161     -5.605383     56.46018             25
+#> 6939  VR2AR-546136     -5.626250     56.44810             75
+#> 6940  VR2AR-546136     -5.626250     56.44810             75
+#> 6941  VR2AR-546136     -5.626250     56.44810             75
+#> 6942  VR2AR-546136     -5.626250     56.44810             75
+#> 6943  VR2AR-546136     -5.626250     56.44810             75
+#> 6944  VR2AR-546136     -5.626250     56.44810             75
+#> 6945  VR2AR-546131     -5.612700     56.37988             35
+#> 6946  VR2AR-546131     -5.612700     56.37988             35
+#> 6947  VR2AR-546131     -5.612700     56.37988             35
+#> 6948  VR2AR-546131     -5.612700     56.37988             35
+#> 6949  VR2AR-546131     -5.612700     56.37988             35
+#> 6950  VR2AR-546131     -5.612700     56.37988             35
+#> 6951  VR2AR-546131     -5.612700     56.37988             35
+#> 6952  VR2AR-546131     -5.612700     56.37988             35
+#> 6953  VR2AR-546131     -5.612700     56.37988             35
+#> 6954  VR2AR-546131     -5.612700     56.37988             35
+#> 6955  VR2AR-546131     -5.612700     56.37988             35
+#> 6956  VR2AR-546131     -5.612700     56.37988             35
+#> 6957  VR2AR-546131     -5.612700     56.37988             35
+#> 6958  VR2AR-546131     -5.612700     56.37988             35
+#> 6959  VR2AR-546131     -5.612700     56.37988             35
+#> 6960  VR2AR-546131     -5.612700     56.37988             35
+#> 6961  VR2AR-546131     -5.612700     56.37988             35
+#> 6962  VR2AR-546131     -5.612700     56.37988             35
+#> 6963  VR2AR-546131     -5.612700     56.37988             35
+#> 6964  VR2AR-546131     -5.612700     56.37988             35
+#> 6965  VR2AR-546131     -5.612700     56.37988             35
+#> 6966  VR2AR-546131     -5.612700     56.37988             35
+#> 6967  VR2AR-546131     -5.612700     56.37988             35
+#> 6968  VR2AR-546131     -5.612700     56.37988             35
+#> 6969  VR2AR-546131     -5.612700     56.37988             35
+#> 6970  VR2AR-546131     -5.612700     56.37988             35
+#> 6971  VR2AR-546131     -5.612700     56.37988             35
+#> 6972  VR2AR-546131     -5.612700     56.37988             35
+#> 6973  VR2AR-546131     -5.612700     56.37988             35
+#> 6974  VR2AR-546131     -5.612700     56.37988             35
+#> 6975  VR2AR-546131     -5.612700     56.37988             35
+#> 6976  VR2AR-546131     -5.612700     56.37988             35
+#> 6977  VR2AR-546131     -5.612700     56.37988             35
+#> 6978  VR2AR-546131     -5.612700     56.37988             35
+#> 6979  VR2AR-546131     -5.612700     56.37988             35
+#> 6980  VR2AR-546131     -5.612700     56.37988             35
+#> 6981  VR2AR-546131     -5.612700     56.37988             35
+#> 6982  VR2AR-546131     -5.612700     56.37988             35
+#> 6983  VR2AR-546131     -5.612700     56.37988             35
+#> 6984  VR2AR-546131     -5.612700     56.37988             35
+#> 6985  VR2AR-546131     -5.612700     56.37988             35
+#> 6986  VR2AR-546131     -5.612700     56.37988             35
+#> 6987  VR2AR-546131     -5.612700     56.37988             35
+#> 6988  VR2AR-546131     -5.612700     56.37988             35
+#> 6989  VR2AR-546131     -5.612700     56.37988             35
+#> 6990  VR2AR-546131     -5.612700     56.37988             35
+#> 6991  VR2AR-546131     -5.612700     56.37988             35
+#> 6992  VR2AR-546131     -5.612700     56.37988             35
+#> 6993  VR2AR-546131     -5.612700     56.37988             35
+#> 6994  VR2AR-546131     -5.612700     56.37988             35
+#> 6995  VR2AR-546131     -5.612700     56.37988             35
+#> 6996  VR2AR-546131     -5.612700     56.37988             35
+#> 6997  VR2AR-546131     -5.612700     56.37988             35
+#> 6998  VR2AR-546131     -5.612700     56.37988             35
+#> 6999  VR2AR-546131     -5.612700     56.37988             35
+#> 7000  VR2AR-546131     -5.612700     56.37988             35
+#> 7001  VR2AR-546131     -5.612700     56.37988             35
+#> 7002  VR2AR-546131     -5.612700     56.37988             35
+#> 7003  VR2AR-546131     -5.612700     56.37988             35
+#> 7004  VR2AR-546131     -5.612700     56.37988             35
+#> 7005  VR2AR-546131     -5.612700     56.37988             35
+#> 7006  VR2AR-546131     -5.612700     56.37988             35
+#> 7007  VR2AR-546131     -5.612700     56.37988             35
+#> 7008  VR2AR-546131     -5.612700     56.37988             35
+#> 7009  VR2AR-546131     -5.612700     56.37988             35
+#> 7010  VR2AR-546131     -5.612700     56.37988             35
+#> 7011  VR2AR-546131     -5.612700     56.37988             35
+#> 7012  VR2AR-546131     -5.612700     56.37988             35
+#> 7013  VR2AR-546131     -5.612700     56.37988             35
+#> 7014  VR2AR-546131     -5.612700     56.37988             35
+#> 7015  VR2AR-546131     -5.612700     56.37988             35
+#> 7016  VR2AR-546131     -5.612700     56.37988             35
+#> 7017  VR2AR-546131     -5.612700     56.37988             35
+#> 7018  VR2AR-546131     -5.612700     56.37988             35
+#> 7019  VR2AR-546131     -5.612700     56.37988             35
+#> 7020  VR2AR-546131     -5.612700     56.37988             35
+#> 7021  VR2AR-546131     -5.612700     56.37988             35
+#> 7022  VR2AR-546131     -5.612700     56.37988             35
+#> 7023  VR2AR-546131     -5.612700     56.37988             35
+#> 7024  VR2AR-546131     -5.612700     56.37988             35
+#> 7025  VR2AR-546131     -5.612700     56.37988             35
+#> 7026  VR2AR-546131     -5.612700     56.37988             35
+#> 7027  VR2AR-546131     -5.612700     56.37988             35
+#> 7028  VR2AR-546131     -5.612700     56.37988             35
+#> 7029  VR2AR-546131     -5.612700     56.37988             35
+#> 7030  VR2AR-546131     -5.612700     56.37988             35
+#> 7031  VR2AR-546131     -5.612700     56.37988             35
+#> 7032  VR2AR-546131     -5.612700     56.37988             35
+#> 7033  VR2AR-546131     -5.612700     56.37988             35
+#> 7034  VR2AR-546131     -5.612700     56.37988             35
+#> 7035  VR2AR-546131     -5.612700     56.37988             35
+#> 7036  VR2AR-546131     -5.612700     56.37988             35
+#> 7037  VR2AR-546131     -5.612700     56.37988             35
+#> 7038  VR2AR-546131     -5.612700     56.37988             35
+#> 7039  VR2AR-546131     -5.612700     56.37988             35
+#> 7040  VR2AR-546131     -5.612700     56.37988             35
+#> 7041  VR2AR-546131     -5.612700     56.37988             35
+#> 7042  VR2AR-546131     -5.612700     56.37988             35
+#> 7043  VR2AR-546131     -5.612700     56.37988             35
+#> 7044  VR2AR-546131     -5.612700     56.37988             35
+#> 7045  VR2AR-546131     -5.612700     56.37988             35
+#> 7046  VR2AR-546131     -5.612700     56.37988             35
+#> 7047  VR2AR-546131     -5.612700     56.37988             35
+#> 7048  VR2AR-546131     -5.612700     56.37988             35
+#> 7049  VR2AR-546131     -5.612700     56.37988             35
+#> 7050  VR2AR-546131     -5.612700     56.37988             35
+#> 7051  VR2AR-546131     -5.612700     56.37988             35
+#> 7052  VR2AR-546131     -5.612700     56.37988             35
+#> 7053  VR2AR-546131     -5.612700     56.37988             35
+#> 7054  VR2AR-546131     -5.612700     56.37988             35
+#> 7055  VR2AR-546131     -5.612700     56.37988             35
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+#> 7060  VR2AR-546131     -5.612700     56.37988             35
+#> 7061  VR2AR-546131     -5.612700     56.37988             35
+#> 7062  VR2AR-546131     -5.612700     56.37988             35
+#> 7063  VR2AR-546131     -5.612700     56.37988             35
+#> 7064  VR2AR-546131     -5.612700     56.37988             35
+#> 7065  VR2AR-546131     -5.612700     56.37988             35
+#> 7066  VR2AR-546131     -5.612700     56.37988             35
+#> 7067  VR2AR-546131     -5.612700     56.37988             35
+#> 7068  VR2AR-546131     -5.612700     56.37988             35
+#> 7069  VR2AR-546380     -5.637917     56.44800             25
+#> 7070  VR2AR-546380     -5.637917     56.44800             25
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+#> 7076  VR2AR-546380     -5.637917     56.44800             25
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+#> 7091  VR2AR-546380     -5.637917     56.44800             25
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+#> 7094  VR2AR-546380     -5.637917     56.44800             25
+#> 7095  VR2AR-546380     -5.637917     56.44800             25
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+#> 7097  VR2AR-546380     -5.637917     56.44800             25
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+#> 7099  VR2AR-546380     -5.637917     56.44800             25
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+#> 7103  VR2AR-546380     -5.637917     56.44800             25
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+#> 7109  VR2AR-546380     -5.637917     56.44800             25
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+#> 7111  VR2AR-546380     -5.637917     56.44800             25
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+#> 7120  VR2AR-546380     -5.637917     56.44800             25
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+#> 7122  VR2AR-546380     -5.637917     56.44800             25
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+#> 7126  VR2AR-546380     -5.637917     56.44800             25
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+#> 7128  VR2AR-546380     -5.637917     56.44800             25
+#> 7129  VR2AR-546380     -5.637917     56.44800             25
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+#> 7133  VR2AR-546380     -5.637917     56.44800             25
+#> 7134  VR2AR-546380     -5.637917     56.44800             25
+#> 7135  VR2AR-546380     -5.637917     56.44800             25
+#> 7136  VR2AR-546380     -5.637917     56.44800             25
+#> 7137  VR2AR-546380     -5.637917     56.44800             25
+#> 7138  VR2AR-546380     -5.637917     56.44800             25
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+#> 7152  VR2AR-546133     -5.701717     56.49747             90
+#> 7153      VR2-5637     -5.692417     56.49913             25
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+#> 7157  VR2AR-546133     -5.701717     56.49747             90
+#> 7158      VR2-5637     -5.692417     56.49913             25
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+#> 7160   VR2W-108161     -5.605383     56.46018             25
+#> 7161   VR2W-108161     -5.605383     56.46018             25
+#> 7162   VR2W-108161     -5.605383     56.46018             25
+#> 7163   VR2W-108161     -5.605383     56.46018             25
+#> 7164   VR2W-108161     -5.605383     56.46018             25
+#> 7165   VR2W-108161     -5.605383     56.46018             25
+#> 7166   VR2W-108161     -5.605383     56.46018             25
+#> 7167   VR2W-108161     -5.605383     56.46018             25
+#> 7168   VR2W-108161     -5.605383     56.46018             25
+#> 7169   VR2W-108161     -5.605383     56.46018             25
+#> 7170   VR2W-108161     -5.605383     56.46018             25
+#> 7171   VR2W-108161     -5.605383     56.46018             25
+#> 7172   VR2W-108161     -5.605383     56.46018             25
+#> 7173   VR2W-108161     -5.605383     56.46018             25
+#> 7174   VR2W-108161     -5.605383     56.46018             25
+#> 7175   VR2W-108161     -5.605383     56.46018             25
+#> 7176   VR2W-108161     -5.605383     56.46018             25
+#> 7177   VR2W-108161     -5.605383     56.46018             25
+#> 7178   VR2W-108161     -5.605383     56.46018             25
+#> 7179  VR2AR-546136     -5.626250     56.44810             75
+#> 7180  VR2AR-546136     -5.626250     56.44810             75
+#> 7181  VR2AR-546136     -5.626250     56.44810             75
+#> 7182  VR2AR-546136     -5.626250     56.44810             75
+#> 7183  VR2AR-546136     -5.626250     56.44810             75
+#> 7184  VR2AR-546136     -5.626250     56.44810             75
+#> 7185  VR2AR-546136     -5.626250     56.44810             75
+#> 7186  VR2AR-546136     -5.626250     56.44810             75
+#> 7187  VR2AR-546136     -5.626250     56.44810             75
+#> 7188  VR2AR-546136     -5.626250     56.44810             75
+#> 7189  VR2AR-546136     -5.626250     56.44810             75
+#> 7190  VR2AR-546136     -5.626250     56.44810             75
+#> 7191  VR2AR-546136     -5.626250     56.44810             75
+#> 7192  VR2AR-546131     -5.612700     56.37988             35
+#> 7193  VR2AR-546131     -5.612700     56.37988             35
+#> 7194  VR2AR-546131     -5.612700     56.37988             35
+#> 7195  VR2AR-546131     -5.612700     56.37988             35
+#> 7196  VR2AR-546131     -5.612700     56.37988             35
+#> 7197  VR2AR-546131     -5.612700     56.37988             35
+#> 7198  VR2AR-546131     -5.612700     56.37988             35
+#> 7199  VR2AR-546131     -5.612700     56.37988             35
+#> 7200  VR2AR-546131     -5.612700     56.37988             35
+#> 7201  VR2AR-546131     -5.612700     56.37988             35
+#> 7202  VR2AR-546131     -5.612700     56.37988             35
+#> 7203  VR2AR-546131     -5.612700     56.37988             35
+#> 7204  VR2AR-546131     -5.612700     56.37988             35
+#> 7205  VR2AR-546131     -5.612700     56.37988             35
+#> 7206  VR2AR-546131     -5.612700     56.37988             35
+#> 7207  VR2AR-546131     -5.612700     56.37988             35
+#> 7208  VR2AR-546131     -5.612700     56.37988             35
+#> 7209  VR2AR-546131     -5.612700     56.37988             35
+#> 7210  VR2AR-546131     -5.612700     56.37988             35
+#> 7211  VR2AR-546131     -5.612700     56.37988             35
+#> 7212  VR2AR-546131     -5.612700     56.37988             35
+#> 7213  VR2AR-546131     -5.612700     56.37988             35
+#> 7214  VR2AR-546131     -5.612700     56.37988             35
+#> 7215  VR2AR-546131     -5.612700     56.37988             35
+#> 7216  VR2AR-546131     -5.612700     56.37988             35
+#> 7217  VR2AR-546131     -5.612700     56.37988             35
+#> 7218  VR2AR-546131     -5.612700     56.37988             35
+#> 7219  VR2AR-546131     -5.612700     56.37988             35
+#> 7220  VR2AR-546131     -5.612700     56.37988             35
+#> 7221  VR2AR-546131     -5.612700     56.37988             35
+#> 7222  VR2AR-546131     -5.612700     56.37988             35
+#> 7223  VR2AR-546131     -5.612700     56.37988             35
+#> 7224  VR2AR-546131     -5.612700     56.37988             35
+#> 7225  VR2AR-546131     -5.612700     56.37988             35
+#> 7226  VR2AR-546131     -5.612700     56.37988             35
+#> 7227  VR2AR-546131     -5.612700     56.37988             35
+#> 7228  VR2AR-546131     -5.612700     56.37988             35
+#> 7229  VR2AR-546131     -5.612700     56.37988             35
+#> 7230  VR2AR-546131     -5.612700     56.37988             35
+#> 7231  VR2AR-546131     -5.612700     56.37988             35
+#> 7232  VR2AR-546131     -5.612700     56.37988             35
+#> 7233  VR2AR-546131     -5.612700     56.37988             35
+#> 7234  VR2AR-546131     -5.612700     56.37988             35
+#> 7235  VR2AR-546131     -5.612700     56.37988             35
+#> 7236  VR2AR-546131     -5.612700     56.37988             35
+#> 7237  VR2AR-546131     -5.612700     56.37988             35
+#> 7238  VR2AR-546131     -5.612700     56.37988             35
+#> 7239  VR2AR-546131     -5.612700     56.37988             35
+#> 7240  VR2AR-546131     -5.612700     56.37988             35
+#> 7241  VR2AR-546131     -5.612700     56.37988             35
+#> 7242  VR2AR-546131     -5.612700     56.37988             35
+#> 7243  VR2AR-546131     -5.612700     56.37988             35
+#> 7244  VR2AR-546131     -5.612700     56.37988             35
+#> 7245  VR2AR-546131     -5.612700     56.37988             35
+#> 7246  VR2AR-546131     -5.612700     56.37988             35
+#> 7247  VR2AR-546131     -5.612700     56.37988             35
+#> 7248  VR2AR-546131     -5.612700     56.37988             35
+#> 7249  VR2AR-546131     -5.612700     56.37988             35
+#> 7250  VR2AR-546131     -5.612700     56.37988             35
+#> 7251  VR2AR-546131     -5.612700     56.37988             35
+#> 7252  VR2AR-546131     -5.612700     56.37988             35
+#> 7253  VR2AR-546131     -5.612700     56.37988             35
+#> 7254  VR2AR-546131     -5.612700     56.37988             35
+#> 7255  VR2AR-546131     -5.612700     56.37988             35
+#> 7256  VR2AR-546131     -5.612700     56.37988             35
+#> 7257  VR2AR-546131     -5.612700     56.37988             35
+#> 7258  VR2AR-546131     -5.612700     56.37988             35
+#> 7259  VR2AR-546131     -5.612700     56.37988             35
+#> 7260  VR2AR-546131     -5.612700     56.37988             35
+#> 7261  VR2AR-546131     -5.612700     56.37988             35
+#> 7262  VR2AR-546131     -5.612700     56.37988             35
+#> 7263  VR2AR-546131     -5.612700     56.37988             35
+#> 7264  VR2AR-546131     -5.612700     56.37988             35
+#> 7265  VR2AR-546131     -5.612700     56.37988             35
+#> 7266  VR2AR-546131     -5.612700     56.37988             35
+#> 7267  VR2AR-546131     -5.612700     56.37988             35
+#> 7268  VR2AR-546131     -5.612700     56.37988             35
+#> 7269  VR2AR-546131     -5.612700     56.37988             35
+#> 7270  VR2AR-546131     -5.612700     56.37988             35
+#> 7271  VR2AR-546131     -5.612700     56.37988             35
+#> 7272  VR2AR-546131     -5.612700     56.37988             35
+#> 7273  VR2AR-546131     -5.612700     56.37988             35
+#> 7274  VR2AR-546131     -5.612700     56.37988             35
+#> 7275  VR2AR-546131     -5.612700     56.37988             35
+#> 7276  VR2AR-546131     -5.612700     56.37988             35
+#> 7277  VR2AR-546133     -5.701717     56.49747             90
+#> 7278  VR2AR-546133     -5.701717     56.49747             90
+#> 7279  VR2AR-546133     -5.701717     56.49747             90
+#> 7280  VR2AR-546133     -5.701717     56.49747             90
+#> 7281  VR2AR-546133     -5.701717     56.49747             90
+#> 7282  VR2AR-546133     -5.701717     56.49747             90
+#> 7283  VR2AR-546133     -5.701717     56.49747             90
+#> 7284  VR2AR-546133     -5.701717     56.49747             90
+#> 7285  VR2AR-546133     -5.701717     56.49747             90
+#> 7286  VR2AR-546133     -5.701717     56.49747             90
+#> 7287  VR2AR-546133     -5.701717     56.49747             90
+#> 7288  VR2AR-546133     -5.701717     56.49747             90
+#> 7289  VR2AR-546133     -5.701717     56.49747             90
+#> 7290  VR2AR-546133     -5.701717     56.49747             90
+#> 7291  VR2AR-546133     -5.701717     56.49747             90
+#> 7292  VR2AR-546133     -5.701717     56.49747             90
+#> 7293  VR2AR-546133     -5.701717     56.49747             90
+#> 7294  VR2AR-546133     -5.701717     56.49747             90
+#> 7295  VR2AR-546133     -5.701717     56.49747             90
+#> 7296  VR2AR-546133     -5.701717     56.49747             90
+#> 7297      VR2-5637     -5.692417     56.49913             25
+#> 7298      VR2-5630     -5.591217     56.50710             50
+#> 7299      VR2-5630     -5.591217     56.50710             50
+#> 7300      VR2-5630     -5.591217     56.50710             50
+#> 7301      VR2-5630     -5.591217     56.50710             50
+#> 7302      VR2-5630     -5.591217     56.50710             50
+#> 7303      VR2-5630     -5.591217     56.50710             50
+#> 7304      VR2-5630     -5.591217     56.50710             50
+#> 7305      VR2-5630     -5.591217     56.50710             50
+#> 7306      VR2-5630     -5.591217     56.50710             50
+#> 7307      VR2-5630     -5.591217     56.50710             50
+#> 7308      VR2-5630     -5.591217     56.50710             50
+#> 7309      VR2-6723     -5.586383     56.50332             50
+#> 7310      VR2-6723     -5.586383     56.50332             50
+#> 7311      VR2-6723     -5.586383     56.50332             50
+#> 7312      VR2-6723     -5.586383     56.50332             50
+#> 7313      VR2-6723     -5.586383     56.50332             50
+#> 7314   VR2W-108163     -5.586717     56.49755             25
+#> 7315      VR2-6723     -5.586383     56.50332             50
+#> 7316   VR2W-108163     -5.586717     56.49755             25
+#> 7317   VR2W-108163     -5.586717     56.49755             25
+#> 7318      VR2-6723     -5.586383     56.50332             50
+#> 7319   VR2W-108163     -5.586717     56.49755             25
+#> 7320   VR2W-108163     -5.586717     56.49755             25
+#> 7321   VR2W-108161     -5.605383     56.46018             25
+#> 7322   VR2W-108161     -5.605383     56.46018             25
+#> 7323   VR2W-108161     -5.605383     56.46018             25
+#> 7324   VR2W-108161     -5.605383     56.46018             25
+#> 7325   VR2W-108161     -5.605383     56.46018             25
+#> 7326   VR2W-108161     -5.605383     56.46018             25
+#> 7327   VR2W-108161     -5.605383     56.46018             25
+#> 7328   VR2W-108161     -5.605383     56.46018             25
+#> 7329   VR2W-108161     -5.605383     56.46018             25
+#> 7330   VR2W-108161     -5.605383     56.46018             25
+#> 7331   VR2W-108161     -5.605383     56.46018             25
+#> 7332   VR2W-108161     -5.605383     56.46018             25
+#> 7333   VR2W-108161     -5.605383     56.46018             25
+#> 7334   VR2W-108161     -5.605383     56.46018             25
+#> 7335   VR2W-108161     -5.605383     56.46018             25
+#> 7336   VR2W-108161     -5.605383     56.46018             25
+#> 7337   VR2W-108161     -5.605383     56.46018             25
+#> 7338   VR2W-108161     -5.605383     56.46018             25
+#> 7339   VR2W-108161     -5.605383     56.46018             25
+#> 7340   VR2W-108161     -5.605383     56.46018             25
+#> 7341   VR2W-108161     -5.605383     56.46018             25
+#> 7342  VR2AR-546136     -5.626250     56.44810             75
+#> 7343  VR2AR-546136     -5.626250     56.44810             75
+#> 7344  VR2AR-546136     -5.626250     56.44810             75
+#> 7345  VR2AR-546131     -5.612700     56.37988             35
+#> 7346  VR2AR-546131     -5.612700     56.37988             35
+#> 7347  VR2AR-546131     -5.612700     56.37988             35
+#> 7348  VR2AR-546131     -5.612700     56.37988             35
+#> 7349  VR2AR-546131     -5.612700     56.37988             35
+#> 7350  VR2AR-546131     -5.612700     56.37988             35
+#> 7351  VR2AR-546131     -5.612700     56.37988             35
+#> 7352  VR2AR-546131     -5.612700     56.37988             35
+#> 7353  VR2AR-546131     -5.612700     56.37988             35
+#> 7354  VR2AR-546131     -5.612700     56.37988             35
+#> 7355  VR2AR-546131     -5.612700     56.37988             35
+#> 7356  VR2AR-546131     -5.612700     56.37988             35
+#> 7357  VR2AR-546131     -5.612700     56.37988             35
+#> 7358  VR2AR-546131     -5.612700     56.37988             35
+#> 7359  VR2AR-546131     -5.612700     56.37988             35
+#> 7360  VR2AR-546131     -5.612700     56.37988             35
+#> 7361  VR2AR-546131     -5.612700     56.37988             35
+#> 7362  VR2AR-546131     -5.612700     56.37988             35
+#> 7363  VR2AR-546131     -5.612700     56.37988             35
+#> 7364  VR2AR-546131     -5.612700     56.37988             35
+#> 7365  VR2AR-546131     -5.612700     56.37988             35
+#> 7366  VR2AR-546131     -5.612700     56.37988             35
+#> 7367  VR2AR-546131     -5.612700     56.37988             35
+#> 7368  VR2AR-546131     -5.612700     56.37988             35
+#> 7369  VR2AR-546131     -5.612700     56.37988             35
+#> 7370  VR2AR-546131     -5.612700     56.37988             35
+#> 7371  VR2AR-546131     -5.612700     56.37988             35
+#> 7372  VR2AR-546131     -5.612700     56.37988             35
+#> 7373  VR2AR-546131     -5.612700     56.37988             35
+#> 7374  VR2AR-546131     -5.612700     56.37988             35
+#> 7375  VR2AR-546131     -5.612700     56.37988             35
+#> 7376  VR2AR-546131     -5.612700     56.37988             35
+#> 7377  VR2AR-546131     -5.612700     56.37988             35
+#> 7378  VR2AR-546131     -5.612700     56.37988             35
+#> 7379  VR2AR-546131     -5.612700     56.37988             35
+#> 7380  VR2AR-546131     -5.612700     56.37988             35
+#> 7381  VR2AR-546131     -5.612700     56.37988             35
+#> 7382  VR2AR-546131     -5.612700     56.37988             35
+#> 7383  VR2AR-546131     -5.612700     56.37988             35
+#> 7384  VR2AR-546131     -5.612700     56.37988             35
+#> 7385  VR2AR-546131     -5.612700     56.37988             35
+#> 7386  VR2AR-546131     -5.612700     56.37988             35
+#> 7387  VR2AR-546131     -5.612700     56.37988             35
+#> 7388  VR2AR-546131     -5.612700     56.37988             35
+#> 7389  VR2AR-546131     -5.612700     56.37988             35
+#> 7390  VR2AR-546131     -5.612700     56.37988             35
+#> 7391  VR2AR-546131     -5.612700     56.37988             35
+#> 7392  VR2AR-546131     -5.612700     56.37988             35
+#> 7393  VR2AR-546131     -5.612700     56.37988             35
+#> 7394  VR2AR-546131     -5.612700     56.37988             35
+#> 7395  VR2AR-546131     -5.612700     56.37988             35
+#> 7396  VR2AR-546131     -5.612700     56.37988             35
+#> 7397  VR2AR-546131     -5.612700     56.37988             35
+#> 7398  VR2AR-546131     -5.612700     56.37988             35
+#> 7399  VR2AR-546131     -5.612700     56.37988             35
+#> 7400  VR2AR-546131     -5.612700     56.37988             35
+#> 7401  VR2AR-546131     -5.612700     56.37988             35
+#> 7402  VR2AR-546131     -5.612700     56.37988             35
+#> 7403  VR2AR-546131     -5.612700     56.37988             35
+#> 7404  VR2AR-546131     -5.612700     56.37988             35
+#> 7405  VR2AR-546131     -5.612700     56.37988             35
+#> 7406  VR2AR-546131     -5.612700     56.37988             35
+#> 7407  VR2AR-546131     -5.612700     56.37988             35
+#> 7408  VR2AR-546131     -5.612700     56.37988             35
+#> 7409  VR2AR-546131     -5.612700     56.37988             35
+#> 7410  VR2AR-546131     -5.612700     56.37988             35
+#> 7411  VR2AR-546131     -5.612700     56.37988             35
+#> 7412  VR2AR-546131     -5.612700     56.37988             35
+#> 7413  VR2AR-546131     -5.612700     56.37988             35
+#> 7414  VR2AR-546131     -5.612700     56.37988             35
+#> 7415  VR2AR-546131     -5.612700     56.37988             35
+#> 7416  VR2AR-546131     -5.612700     56.37988             35
+#> 7417  VR2AR-546131     -5.612700     56.37988             35
+#> 7418  VR2AR-546131     -5.612700     56.37988             35
+#> 7419  VR2AR-546131     -5.612700     56.37988             35
+#> 7420  VR2AR-546131     -5.612700     56.37988             35
+#> 7421  VR2AR-546131     -5.612700     56.37988             35
+#> 7422  VR2AR-546131     -5.612700     56.37988             35
+#> 7423  VR2AR-546131     -5.612700     56.37988             35
+#> 7424  VR2AR-546131     -5.612700     56.37988             35
+#> 7425  VR2AR-546131     -5.612700     56.37988             35
+#> 7426  VR2AR-546131     -5.612700     56.37988             35
+#> 7427  VR2AR-546131     -5.612700     56.37988             35
+#> 7428  VR2AR-546131     -5.612700     56.37988             35
+#> 7429  VR2AR-546131     -5.612700     56.37988             35
+#> 7430  VR2AR-546131     -5.612700     56.37988             35
+#> 7431  VR2AR-546131     -5.612700     56.37988             35
+#> 7432  VR2AR-546131     -5.612700     56.37988             35
+#> 7433  VR2AR-546131     -5.612700     56.37988             35
+#> 7434  VR2AR-546131     -5.612700     56.37988             35
+#> 7435  VR2AR-546131     -5.612700     56.37988             35
+#> 7436  VR2AR-546131     -5.612700     56.37988             35
+#> 7437  VR2AR-546131     -5.612700     56.37988             35
+#> 7438  VR2AR-546131     -5.612700     56.37988             35
+#> 7439  VR2AR-546131     -5.612700     56.37988             35
+#> 7440  VR2AR-546131     -5.612700     56.37988             35
+#> 7441  VR2AR-546131     -5.612700     56.37988             35
+#> 7442  VR2AR-546131     -5.612700     56.37988             35
+#> 7443  VR2AR-546131     -5.612700     56.37988             35
+#> 7444  VR2AR-546131     -5.612700     56.37988             35
+#> 7445  VR2AR-546131     -5.612700     56.37988             35
+#> 7446  VR2AR-546131     -5.612700     56.37988             35
+#> 7447  VR2AR-546131     -5.612700     56.37988             35
+#> 7448  VR2AR-546131     -5.612700     56.37988             35
+#> 7449  VR2AR-546131     -5.612700     56.37988             35
+#> 7450  VR2AR-546131     -5.612700     56.37988             35
+#> 7451  VR2AR-546131     -5.612700     56.37988             35
+#> 7452  VR2AR-546131     -5.612700     56.37988             35
+#> 7453  VR2AR-546131     -5.612700     56.37988             35
+#> 7454  VR2AR-546131     -5.612700     56.37988             35
+#> 7455  VR2AR-546131     -5.612700     56.37988             35
+#> 7456  VR2AR-546131     -5.612700     56.37988             35
+#> 7457  VR2AR-546131     -5.612700     56.37988             35
+#> 7458  VR2AR-546131     -5.612700     56.37988             35
+#> 7459  VR2AR-546131     -5.612700     56.37988             35
+#> 7460  VR2AR-546131     -5.612700     56.37988             35
+#> 7461  VR2AR-546131     -5.612700     56.37988             35
+#> 7462  VR2AR-546131     -5.612700     56.37988             35
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+#> 7465  VR2AR-546131     -5.612700     56.37988             35
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+#> 7468  VR2AR-546131     -5.612700     56.37988             35
+#> 7469  VR2AR-546131     -5.612700     56.37988             35
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+#> 7757  VR2AR-546133     -5.701717     56.49747             90
+#> 7758  VR2AR-546133     -5.701717     56.49747             90
+#> 7759  VR2AR-546133     -5.701717     56.49747             90
+#> 7760  VR2AR-546133     -5.701717     56.49747             90
+#> 7761  VR2AR-546133     -5.701717     56.49747             90
+#> 7762  VR2AR-546133     -5.701717     56.49747             90
+#> 7763  VR2AR-546133     -5.701717     56.49747             90
+#> 7764  VR2AR-546133     -5.701717     56.49747             90
+#> 7765  VR2AR-546133     -5.701717     56.49747             90
+#> 7766  VR2AR-546133     -5.701717     56.49747             90
+#> 7767  VR2AR-546133     -5.701717     56.49747             90
+#> 7768      VR2-5637     -5.692417     56.49913             25
+#> 7769      VR2-5637     -5.692417     56.49913             25
+#> 7770  VR2AR-546133     -5.701717     56.49747             90
+#> 7771  VR2AR-546133     -5.701717     56.49747             90
+#> 7772  VR2AR-546133     -5.701717     56.49747             90
+#> 7773      VR2-5637     -5.692417     56.49913             25
+#> 7774      VR2-5637     -5.692417     56.49913             25
+#> 7775      VR2-5637     -5.692417     56.49913             25
+#> 7776      VR2-5637     -5.692417     56.49913             25
+#> 7777      VR2-5637     -5.692417     56.49913             25
+#> 7778      VR2-5637     -5.692417     56.49913             25
+#> 7779      VR2-5637     -5.692417     56.49913             25
+#> 7780      VR2-5637     -5.692417     56.49913             25
+#> 7781      VR2-5637     -5.692417     56.49913             25
+#> 7782      VR2-5637     -5.692417     56.49913             25
+#> 7783      VR2-5637     -5.692417     56.49913             25
+#> 7784      VR2-5637     -5.692417     56.49913             25
+#> 7785      VR2-5637     -5.692417     56.49913             25
+#> 7786      VR2-5637     -5.692417     56.49913             25
+#> 7787      VR2-5637     -5.692417     56.49913             25
+#> 7788      VR2-5637     -5.692417     56.49913             25
+#> 7789      VR2-5637     -5.692417     56.49913             25
+#> 7790      VR2-5637     -5.692417     56.49913             25
+#> 7791  VR2AR-546133     -5.701717     56.49747             90
+#> 7792  VR2AR-546133     -5.701717     56.49747             90
+#> 7793  VR2AR-546133     -5.701717     56.49747             90
+#> 7794  VR2AR-546133     -5.701717     56.49747             90
+#> 7795  VR2AR-546133     -5.701717     56.49747             90
+#> 7796  VR2AR-546133     -5.701717     56.49747             90
+#> 7797  VR2AR-546133     -5.701717     56.49747             90
+#> 7798  VR2AR-546133     -5.701717     56.49747             90
+#> 7799  VR2AR-546133     -5.701717     56.49747             90
+#> 7800  VR2AR-546133     -5.701717     56.49747             90
+#> 7801  VR2AR-546133     -5.701717     56.49747             90
+#> 7802  VR2AR-546133     -5.701717     56.49747             90
+#> 7803  VR2AR-546133     -5.701717     56.49747             90
+#> 7804  VR2AR-546133     -5.701717     56.49747             90
+#> 7805  VR2AR-546133     -5.701717     56.49747             90
+#> 7806  VR2AR-546133     -5.701717     56.49747             90
+#> 7807  VR2AR-546133     -5.701717     56.49747             90
+#> 7808  VR2AR-546133     -5.701717     56.49747             90
+#> 7809  VR2AR-546133     -5.701717     56.49747             90
+#> 7810  VR2AR-546133     -5.701717     56.49747             90
+#> 7811  VR2AR-546133     -5.701717     56.49747             90
+#> 7812  VR2AR-546133     -5.701717     56.49747             90
+#> 7813  VR2AR-546133     -5.701717     56.49747             90
+#> 7814  VR2AR-546133     -5.701717     56.49747             90
+#> 7815  VR2AR-546133     -5.701717     56.49747             90
+#> 7816  VR2AR-546133     -5.701717     56.49747             90
+#> 7817  VR2AR-546133     -5.701717     56.49747             90
+#> 7818  VR2AR-546133     -5.701717     56.49747             90
+#> 7819  VR2AR-546133     -5.701717     56.49747             90
+#> 7820  VR2AR-546133     -5.701717     56.49747             90
+#> 7821  VR2AR-546133     -5.701717     56.49747             90
+#> 7822  VR2AR-546133     -5.701717     56.49747             90
+#> 7823      VR2-5637     -5.692417     56.49913             25
+#> 7824      VR2-5637     -5.692417     56.49913             25
+#> 7825      VR2-5637     -5.692417     56.49913             25
+#> 7826      VR2-5637     -5.692417     56.49913             25
+#> 7827      VR2-5637     -5.692417     56.49913             25
+#> 7828      VR2-5630     -5.591217     56.50710             50
+#> 7829      VR2-5630     -5.591217     56.50710             50
+#> 7830      VR2-5630     -5.591217     56.50710             50
+#> 7831      VR2-5630     -5.591217     56.50710             50
+#> 7832      VR2-5630     -5.591217     56.50710             50
+#> 7833      VR2-5630     -5.591217     56.50710             50
+#> 7834      VR2-5630     -5.591217     56.50710             50
+#> 7835      VR2-5630     -5.591217     56.50710             50
+#> 7836      VR2-5630     -5.591217     56.50710             50
+#> 7837      VR2-5630     -5.591217     56.50710             50
+#> 7838      VR2-5630     -5.591217     56.50710             50
+#> 7839      VR2-5630     -5.591217     56.50710             50
+#> 7840      VR2-5630     -5.591217     56.50710             50
+#> 7841      VR2-5630     -5.591217     56.50710             50
+#> 7842      VR2-5630     -5.591217     56.50710             50
+#> 7843      VR2-5630     -5.591217     56.50710             50
+#> 7844      VR2-5630     -5.591217     56.50710             50
+#> 7845      VR2-5630     -5.591217     56.50710             50
+#> 7846      VR2-5630     -5.591217     56.50710             50
+#> 7847      VR2-5630     -5.591217     56.50710             50
+#> 7848      VR2-5630     -5.591217     56.50710             50
+#> 7849      VR2-5630     -5.591217     56.50710             50
+#> 7850      VR2-5630     -5.591217     56.50710             50
+#> 7851      VR2-5630     -5.591217     56.50710             50
+#> 7852      VR2-5630     -5.591217     56.50710             50
+#> 7853      VR2-6723     -5.586383     56.50332             50
+#> 7854      VR2-6723     -5.586383     56.50332             50
+#> 7855      VR2-6723     -5.586383     56.50332             50
+#> 7856      VR2-6723     -5.586383     56.50332             50
+#> 7857      VR2-6723     -5.586383     56.50332             50
+#> 7858      VR2-6723     -5.586383     56.50332             50
+#> 7859   VR2W-108163     -5.586717     56.49755             25
+#> 7860   VR2W-108163     -5.586717     56.49755             25
+#> 7861   VR2W-108163     -5.586717     56.49755             25
+#> 7862   VR2W-108163     -5.586717     56.49755             25
+#> 7863      VR2-6723     -5.586383     56.50332             50
+#> 7864   VR2W-108163     -5.586717     56.49755             25
+#> 7865   VR2W-108163     -5.586717     56.49755             25
+#> 7866      VR2-6723     -5.586383     56.50332             50
+#> 7867      VR2-6723     -5.586383     56.50332             50
+#> 7868      VR2-6723     -5.586383     56.50332             50
+#> 7869   VR2W-108163     -5.586717     56.49755             25
+#> 7870  VR2AR-546136     -5.626250     56.44810             75
+#> 7871  VR2AR-546136     -5.626250     56.44810             75
+#> 7872  VR2AR-546136     -5.626250     56.44810             75
+#> 7873  VR2AR-546136     -5.626250     56.44810             75
+#> 7874  VR2AR-546131     -5.612700     56.37988             35
+#> 7875  VR2AR-546131     -5.612700     56.37988             35
+#> 7876  VR2AR-546131     -5.612700     56.37988             35
+#> 7877  VR2AR-546131     -5.612700     56.37988             35
+#> 7878  VR2AR-546131     -5.612700     56.37988             35
+#> 7879  VR2AR-546131     -5.612700     56.37988             35
+#> 7880  VR2AR-546131     -5.612700     56.37988             35
+#> 7881  VR2AR-546131     -5.612700     56.37988             35
+#> 7882  VR2AR-546131     -5.612700     56.37988             35
+#> 7883  VR2AR-546131     -5.612700     56.37988             35
+#> 7884  VR2AR-546131     -5.612700     56.37988             35
+#> 7885  VR2AR-546131     -5.612700     56.37988             35
+#> 7886  VR2AR-546131     -5.612700     56.37988             35
+#> 7887  VR2AR-546131     -5.612700     56.37988             35
+#> 7888  VR2AR-546131     -5.612700     56.37988             35
+#> 7889  VR2AR-546131     -5.612700     56.37988             35
+#> 7890  VR2AR-546131     -5.612700     56.37988             35
+#> 7891  VR2AR-546131     -5.612700     56.37988             35
+#> 7892  VR2AR-546131     -5.612700     56.37988             35
+#> 7893  VR2AR-546131     -5.612700     56.37988             35
+#> 7894  VR2AR-546131     -5.612700     56.37988             35
+#> 7895  VR2AR-546131     -5.612700     56.37988             35
+#> 7896  VR2AR-546131     -5.612700     56.37988             35
+#> 7897  VR2AR-546131     -5.612700     56.37988             35
+#> 7898  VR2AR-546131     -5.612700     56.37988             35
+#> 7899  VR2AR-546131     -5.612700     56.37988             35
+#> 7900  VR2AR-546131     -5.612700     56.37988             35
+#> 7901  VR2AR-546131     -5.612700     56.37988             35
+#> 7902  VR2AR-546131     -5.612700     56.37988             35
+#> 7903  VR2AR-546131     -5.612700     56.37988             35
+#> 7904  VR2AR-546131     -5.612700     56.37988             35
+#> 7905  VR2AR-546131     -5.612700     56.37988             35
+#> 7906  VR2AR-546131     -5.612700     56.37988             35
+#> 7907  VR2AR-546131     -5.612700     56.37988             35
+#> 7908  VR2AR-546131     -5.612700     56.37988             35
+#> 7909  VR2AR-546131     -5.612700     56.37988             35
+#> 7910  VR2AR-546131     -5.612700     56.37988             35
+#> 7911  VR2AR-546131     -5.612700     56.37988             35
+#> 7912  VR2AR-546131     -5.612700     56.37988             35
+#> 7913  VR2AR-546131     -5.612700     56.37988             35
+#> 7914  VR2AR-546131     -5.612700     56.37988             35
+#> 7915  VR2AR-546131     -5.612700     56.37988             35
+#> 7916  VR2AR-546131     -5.612700     56.37988             35
+#> 7917  VR2AR-546131     -5.612700     56.37988             35
+#> 7918  VR2AR-546131     -5.612700     56.37988             35
+#> 7919  VR2AR-546131     -5.612700     56.37988             35
+#> 7920  VR2AR-546131     -5.612700     56.37988             35
+#> 7921  VR2AR-546131     -5.612700     56.37988             35
+#> 7922  VR2AR-546131     -5.612700     56.37988             35
+#> 7923  VR2AR-546131     -5.612700     56.37988             35
+#> 7924  VR2AR-546131     -5.612700     56.37988             35
+#> 7925  VR2AR-546131     -5.612700     56.37988             35
+#> 7926  VR2AR-546131     -5.612700     56.37988             35
+#> 7927  VR2AR-546131     -5.612700     56.37988             35
+#> 7928  VR2AR-546131     -5.612700     56.37988             35
+#> 7929  VR2AR-546131     -5.612700     56.37988             35
+#> 7930  VR2AR-546131     -5.612700     56.37988             35
+#> 7931  VR2AR-546131     -5.612700     56.37988             35
+#> 7932  VR2AR-546131     -5.612700     56.37988             35
+#> 7933  VR2AR-546131     -5.612700     56.37988             35
+#> 7934  VR2AR-546131     -5.612700     56.37988             35
+#> 7935  VR2AR-546131     -5.612700     56.37988             35
+#> 7936  VR2AR-546131     -5.612700     56.37988             35
+#> 7937  VR2AR-546131     -5.612700     56.37988             35
+#> 7938  VR2AR-546131     -5.612700     56.37988             35
+#> 7939  VR2AR-546131     -5.612700     56.37988             35
+#> 7940  VR2AR-546131     -5.612700     56.37988             35
+#> 7941  VR2AR-546131     -5.612700     56.37988             35
+#> 7942  VR2AR-546131     -5.612700     56.37988             35
+#> 7943  VR2AR-546131     -5.612700     56.37988             35
+#> 7944  VR2AR-546131     -5.612700     56.37988             35
+#> 7945  VR2AR-546131     -5.612700     56.37988             35
+#> 7946  VR2AR-546131     -5.612700     56.37988             35
+#> 7947  VR2AR-546131     -5.612700     56.37988             35
+#> 7948  VR2AR-546131     -5.612700     56.37988             35
+#> 7949  VR2AR-546131     -5.612700     56.37988             35
+#> 7950  VR2AR-546131     -5.612700     56.37988             35
+#> 7951  VR2AR-546131     -5.612700     56.37988             35
+#> 7952  VR2AR-546131     -5.612700     56.37988             35
+#> 7953  VR2AR-546131     -5.612700     56.37988             35
+#> 7954  VR2AR-546131     -5.612700     56.37988             35
+#> 7955  VR2AR-546131     -5.612700     56.37988             35
+#> 7956  VR2AR-546131     -5.612700     56.37988             35
+#> 7957  VR2AR-546131     -5.612700     56.37988             35
+#> 7958  VR2AR-546131     -5.612700     56.37988             35
+#> 7959  VR2AR-546131     -5.612700     56.37988             35
+#> 7960  VR2AR-546131     -5.612700     56.37988             35
+#> 7961  VR2AR-546131     -5.612700     56.37988             35
+#> 7962  VR2AR-546131     -5.612700     56.37988             35
+#> 7963  VR2AR-546131     -5.612700     56.37988             35
+#> 7964  VR2AR-546131     -5.612700     56.37988             35
+#> 7965  VR2AR-546131     -5.612700     56.37988             35
+#> 7966  VR2AR-546131     -5.612700     56.37988             35
+#> 7967  VR2AR-546131     -5.612700     56.37988             35
+#> 7968  VR2AR-546131     -5.612700     56.37988             35
+#> 7969  VR2AR-546131     -5.612700     56.37988             35
+#> 7970  VR2AR-546131     -5.612700     56.37988             35
+#> 7971  VR2AR-546131     -5.612700     56.37988             35
+#> 7972  VR2AR-546136     -5.626250     56.44810             75
+#> 7973  VR2AR-546380     -5.637917     56.44800             25
+#> 7974  VR2AR-546380     -5.637917     56.44800             25
+#> 7975  VR2AR-546380     -5.637917     56.44800             25
+#> 7976  VR2AR-546380     -5.637917     56.44800             25
+#> 7977  VR2AR-546380     -5.637917     56.44800             25
+#> 7978  VR2AR-546380     -5.637917     56.44800             25
+#> 7979  VR2AR-546136     -5.626250     56.44810             75
+#> 7980  VR2AR-546380     -5.637917     56.44800             25
+#> 7981  VR2AR-546380     -5.637917     56.44800             25
+#> 7982  VR2AR-546380     -5.637917     56.44800             25
+#> 7983  VR2AR-546380     -5.637917     56.44800             25
+#> 7984  VR2AR-546136     -5.626250     56.44810             75
+#> 7985  VR2AR-546380     -5.637917     56.44800             25
+#> 7986  VR2AR-546380     -5.637917     56.44800             25
+#> 7987  VR2AR-546380     -5.637917     56.44800             25
+#> 7988  VR2AR-546136     -5.626250     56.44810             75
+#> 7989  VR2AR-546136     -5.626250     56.44810             75
+#> 7990  VR2AR-546380     -5.637917     56.44800             25
+#> 7991  VR2AR-546136     -5.626250     56.44810             75
+#> 7992  VR2AR-546136     -5.626250     56.44810             75
+#> 7993  VR2AR-546136     -5.626250     56.44810             75
+#> 7994  VR2AR-546131     -5.612700     56.37988             35
+#> 7995  VR2AR-546131     -5.612700     56.37988             35
+#> 7996  VR2AR-546131     -5.612700     56.37988             35
+#> 7997  VR2AR-546131     -5.612700     56.37988             35
+#> 7998  VR2AR-546131     -5.612700     56.37988             35
+#> 7999  VR2AR-546131     -5.612700     56.37988             35
+#> 8000  VR2AR-546131     -5.612700     56.37988             35
+#> 8001  VR2AR-546131     -5.612700     56.37988             35
+#> 8002  VR2AR-546131     -5.612700     56.37988             35
+#> 8003  VR2AR-546131     -5.612700     56.37988             35
+#> 8004  VR2AR-546131     -5.612700     56.37988             35
+#> 8005  VR2AR-546131     -5.612700     56.37988             35
+#> 8006  VR2AR-546131     -5.612700     56.37988             35
+#> 8007  VR2AR-546131     -5.612700     56.37988             35
+#> 8008  VR2AR-546131     -5.612700     56.37988             35
+#> 8009  VR2AR-546131     -5.612700     56.37988             35
+#> 8010  VR2AR-546131     -5.612700     56.37988             35
+#> 8011  VR2AR-546131     -5.612700     56.37988             35
+#> 8012  VR2AR-546131     -5.612700     56.37988             35
+#> 8013  VR2AR-546131     -5.612700     56.37988             35
+#> 8014  VR2AR-546131     -5.612700     56.37988             35
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+#> 8020  VR2AR-546131     -5.612700     56.37988             35
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+#> 8027  VR2AR-546131     -5.612700     56.37988             35
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+#> 8032  VR2AR-546131     -5.612700     56.37988             35
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+#> 8034  VR2AR-546131     -5.612700     56.37988             35
+#> 8035  VR2AR-546131     -5.612700     56.37988             35
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+#> 8038  VR2AR-546131     -5.612700     56.37988             35
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+#> 8040  VR2AR-546131     -5.612700     56.37988             35
+#> 8041  VR2AR-546131     -5.612700     56.37988             35
+#> 8042  VR2AR-546131     -5.612700     56.37988             35
+#> 8043  VR2AR-546131     -5.612700     56.37988             35
+#> 8044  VR2AR-546131     -5.612700     56.37988             35
+#> 8045  VR2AR-546131     -5.612700     56.37988             35
+#> 8046  VR2AR-546131     -5.612700     56.37988             35
+#> 8047  VR2AR-546131     -5.612700     56.37988             35
+#> 8048  VR2AR-546131     -5.612700     56.37988             35
+#> 8049  VR2AR-546131     -5.612700     56.37988             35
+#> 8050  VR2AR-546131     -5.612700     56.37988             35
+#> 8051  VR2AR-546131     -5.612700     56.37988             35
+#> 8052  VR2AR-546131     -5.612700     56.37988             35
+#> 8053  VR2AR-546131     -5.612700     56.37988             35
+#> 8054  VR2AR-546131     -5.612700     56.37988             35
+#> 8055  VR2AR-546131     -5.612700     56.37988             35
+#> 8056  VR2AR-546131     -5.612700     56.37988             35
+#> 8057  VR2AR-546131     -5.612700     56.37988             35
+#> 8058  VR2AR-546131     -5.612700     56.37988             35
+#> 8059  VR2AR-546131     -5.612700     56.37988             35
+#> 8060  VR2AR-546131     -5.612700     56.37988             35
+#> 8061  VR2AR-546131     -5.612700     56.37988             35
+#> 8062  VR2AR-546131     -5.612700     56.37988             35
+#> 8063  VR2AR-546131     -5.612700     56.37988             35
+#> 8064  VR2AR-546131     -5.612700     56.37988             35
+#> 8065  VR2AR-546131     -5.612700     56.37988             35
+#> 8066  VR2AR-546131     -5.612700     56.37988             35
+#> 8067  VR2AR-546131     -5.612700     56.37988             35
+#> 8068  VR2AR-546131     -5.612700     56.37988             35
+#> 8069  VR2AR-546131     -5.612700     56.37988             35
+#> 8070  VR2AR-546131     -5.612700     56.37988             35
+#> 8071  VR2AR-546131     -5.612700     56.37988             35
+#> 8072  VR2AR-546131     -5.612700     56.37988             35
+#> 8073  VR2AR-546131     -5.612700     56.37988             35
+#> 8074  VR2AR-546131     -5.612700     56.37988             35
+#> 8075  VR2AR-546131     -5.612700     56.37988             35
+#> 8076  VR2AR-546131     -5.612700     56.37988             35
+#> 8077  VR2AR-546131     -5.612700     56.37988             35
+#> 8078  VR2AR-546131     -5.612700     56.37988             35
+#> 8079  VR2AR-546131     -5.612700     56.37988             35
+#> 8080  VR2AR-546131     -5.612700     56.37988             35
+#> 8081  VR2AR-546131     -5.612700     56.37988             35
+#> 8082  VR2AR-546131     -5.612700     56.37988             35
+#> 8083  VR2AR-546131     -5.612700     56.37988             35
+#> 8084  VR2AR-546131     -5.612700     56.37988             35
+#> 8085  VR2AR-546131     -5.612700     56.37988             35
+#> 8086  VR2AR-546131     -5.612700     56.37988             35
+#> 8087  VR2AR-546131     -5.612700     56.37988             35
+#> 8088  VR2AR-546131     -5.612700     56.37988             35
+#> 8089  VR2AR-546131     -5.612700     56.37988             35
+#> 8090  VR2AR-546131     -5.612700     56.37988             35
+#> 8091  VR2AR-546131     -5.612700     56.37988             35
+#> 8092  VR2AR-546131     -5.612700     56.37988             35
+#> 8093  VR2AR-546131     -5.612700     56.37988             35
+#> 8094  VR2AR-546131     -5.612700     56.37988             35
+#> 8095  VR2AR-546131     -5.612700     56.37988             35
+#> 8096  VR2AR-546131     -5.612700     56.37988             35
+#> 8097  VR2AR-546131     -5.612700     56.37988             35
+#> 8098  VR2AR-546131     -5.612700     56.37988             35
+#> 8099  VR2AR-546131     -5.612700     56.37988             35
+#> 8100  VR2AR-546131     -5.612700     56.37988             35
+#> 8101  VR2AR-546131     -5.612700     56.37988             35
+#> 8102  VR2AR-546131     -5.612700     56.37988             35
+#> 8103  VR2AR-546131     -5.612700     56.37988             35
+#> 8104  VR2AR-546131     -5.612700     56.37988             35
+#> 8105  VR2AR-546131     -5.612700     56.37988             35
+#> 8106  VR2AR-546131     -5.612700     56.37988             35
+#> 8107  VR2AR-546131     -5.612700     56.37988             35
+#> 8108  VR2AR-546131     -5.612700     56.37988             35
+#> 8109  VR2AR-546131     -5.612700     56.37988             35
+#> 8110  VR2AR-546131     -5.612700     56.37988             35
+#> 8111  VR2AR-546131     -5.612700     56.37988             35
+#> 8112  VR2AR-546131     -5.612700     56.37988             35
+#> 8113  VR2AR-546131     -5.612700     56.37988             35
+#> 8114  VR2AR-546131     -5.612700     56.37988             35
+#> 8115  VR2AR-546131     -5.612700     56.37988             35
+#> 8116  VR2AR-546131     -5.612700     56.37988             35
+#> 8117  VR2AR-546131     -5.612700     56.37988             35
+#> 8118  VR2AR-546131     -5.612700     56.37988             35
+#> 8119  VR2AR-546131     -5.612700     56.37988             35
+#> 8120  VR2AR-546131     -5.612700     56.37988             35
+#> 8121  VR2AR-546131     -5.612700     56.37988             35
+#> 8122  VR2AR-546131     -5.612700     56.37988             35
+#> 8123  VR2AR-546131     -5.612700     56.37988             35
+#> 8124  VR2AR-546131     -5.612700     56.37988             35
+#> 8125  VR2AR-546131     -5.612700     56.37988             35
+#> 8126  VR2AR-546131     -5.612700     56.37988             35
+#> 8127  VR2AR-546131     -5.612700     56.37988             35
+#> 8128  VR2AR-546131     -5.612700     56.37988             35
+#> 8129  VR2AR-546131     -5.612700     56.37988             35
+#> 8130  VR2AR-546131     -5.612700     56.37988             35
+#> 8131  VR2AR-546131     -5.612700     56.37988             35
+#> 8132  VR2AR-546131     -5.612700     56.37988             35
+#> 8133  VR2AR-546131     -5.612700     56.37988             35
+#> 8134  VR2AR-546131     -5.612700     56.37988             35
+#> 8135  VR2AR-546131     -5.612700     56.37988             35
+#> 8136  VR2AR-546131     -5.612700     56.37988             35
+#> 8137  VR2AR-546131     -5.612700     56.37988             35
+#> 8138  VR2AR-546131     -5.612700     56.37988             35
+#> 8139  VR2AR-546131     -5.612700     56.37988             35
+#> 8140  VR2AR-546131     -5.612700     56.37988             35
+#> 8141  VR2AR-546131     -5.612700     56.37988             35
+#> 8142  VR2AR-546131     -5.612700     56.37988             35
+#> 8143  VR2AR-546131     -5.612700     56.37988             35
+#> 8144  VR2AR-546131     -5.612700     56.37988             35
+#> 8145  VR2AR-546131     -5.612700     56.37988             35
+#> 8146  VR2AR-546131     -5.612700     56.37988             35
+#> 8147  VR2AR-546131     -5.612700     56.37988             35
+#> 8148  VR2AR-546131     -5.612700     56.37988             35
+#> 8149  VR2AR-546131     -5.612700     56.37988             35
+#> 8150  VR2AR-546131     -5.612700     56.37988             35
+#> 8151  VR2AR-546131     -5.612700     56.37988             35
+#> 8152  VR2AR-546131     -5.612700     56.37988             35
+#> 8153  VR2AR-546131     -5.612700     56.37988             35
+#> 8154  VR2AR-546131     -5.612700     56.37988             35
+#> 8155  VR2AR-546131     -5.612700     56.37988             35
+#> 8156  VR2AR-546131     -5.612700     56.37988             35
+#> 8157  VR2AR-546131     -5.612700     56.37988             35
+#> 8158  VR2AR-546131     -5.612700     56.37988             35
+#> 8159  VR2AR-546131     -5.612700     56.37988             35
+#> 8160  VR2AR-546131     -5.612700     56.37988             35
+#> 8161  VR2AR-546131     -5.612700     56.37988             35
+#> 8162  VR2AR-546131     -5.612700     56.37988             35
+#> 8163  VR2AR-546131     -5.612700     56.37988             35
+#> 8164  VR2AR-546131     -5.612700     56.37988             35
+#> 8165  VR2AR-546131     -5.612700     56.37988             35
+#> 8166  VR2AR-546131     -5.612700     56.37988             35
+#> 8167  VR2AR-546131     -5.612700     56.37988             35
+#> 8168  VR2AR-546131     -5.612700     56.37988             35
+#> 8169  VR2AR-546131     -5.612700     56.37988             35
+#> 8170  VR2AR-546131     -5.612700     56.37988             35
+#> 8171  VR2AR-546131     -5.612700     56.37988             35
+#> 8172  VR2AR-546131     -5.612700     56.37988             35
+#> 8173  VR2AR-546131     -5.612700     56.37988             35
+#> 8174  VR2AR-546131     -5.612700     56.37988             35
+#> 8175  VR2AR-546131     -5.612700     56.37988             35
+#> 8176  VR2AR-546131     -5.612700     56.37988             35
+#> 8177  VR2AR-546131     -5.612700     56.37988             35
+#> 8178  VR2AR-546131     -5.612700     56.37988             35
+#> 8179  VR2AR-546131     -5.612700     56.37988             35
+#> 8180  VR2AR-546131     -5.612700     56.37988             35
+#> 8181  VR2AR-546131     -5.612700     56.37988             35
+#> 8182  VR2AR-546131     -5.612700     56.37988             35
+#> 8183  VR2AR-546131     -5.612700     56.37988             35
+#> 8184  VR2AR-546131     -5.612700     56.37988             35
+#> 8185  VR2AR-546131     -5.612700     56.37988             35
+#> 8186  VR2AR-546131     -5.612700     56.37988             35
+#> 8187  VR2AR-546131     -5.612700     56.37988             35
+#> 8188  VR2AR-546131     -5.612700     56.37988             35
+#> 8189  VR2AR-546131     -5.612700     56.37988             35
+#> 8190  VR2AR-546131     -5.612700     56.37988             35
+#> 8191  VR2AR-546131     -5.612700     56.37988             35
+#> 8192  VR2AR-546131     -5.612700     56.37988             35
+#> 8193  VR2AR-546131     -5.612700     56.37988             35
+#> 8194  VR2AR-546131     -5.612700     56.37988             35
+#> 8195  VR2AR-546131     -5.612700     56.37988             35
+#> 8196  VR2AR-546131     -5.612700     56.37988             35
+#> 8197  VR2AR-546131     -5.612700     56.37988             35
+#> 8198  VR2AR-546131     -5.612700     56.37988             35
+#> 8199  VR2AR-546134     -5.643867     56.38278            145
+#> 8200  VR2AR-546134     -5.643867     56.38278            145
+#> 8201  VR2AR-546134     -5.643867     56.38278            145
+#> 8202  VR2AR-546134     -5.643867     56.38278            145
+#> 8203  VR2AR-546134     -5.643867     56.38278            145
+#> 8204  VR2AR-546134     -5.643867     56.38278            145
+#> 8205  VR2AR-546134     -5.643867     56.38278            145
+#> 8206  VR2AR-546134     -5.643867     56.38278            145
+#> 8207  VR2AR-546135     -5.657067     56.38803             85
+#> 8208  VR2AR-546135     -5.657067     56.38803             85
+#> 8209  VR2AR-546135     -5.657067     56.38803             85
+#> 8210  VR2AR-546135     -5.657067     56.38803             85
+#> 8211  VR2AR-546135     -5.657067     56.38803             85
+#> 8212  VR2AR-546135     -5.657067     56.38803             85
+#> 8213  VR2AR-546135     -5.657067     56.38803             85
+#> 8214  VR2AR-546135     -5.657067     56.38803             85
+#> 8215  VR2AR-546135     -5.657067     56.38803             85
+#> 8216  VR2AR-546135     -5.657067     56.38803             85
+#> 8217  VR2AR-546135     -5.657067     56.38803             85
+#> 8218  VR2AR-546135     -5.657067     56.38803             85
+#> 8219  VR2AR-546135     -5.657067     56.38803             85
+#> 8220  VR2AR-546135     -5.657067     56.38803             85
+#> 8221  VR2AR-546135     -5.657067     56.38803             85
+#> 8222  VR2AR-546135     -5.657067     56.38803             85
+#> 8223  VR2AR-546135     -5.657067     56.38803             85
+#> 8224  VR2AR-546135     -5.657067     56.38803             85
+#> 8225  VR2AR-546135     -5.657067     56.38803             85
+#> 8226  VR2AR-546135     -5.657067     56.38803             85
+#> 8227  VR2AR-546135     -5.657067     56.38803             85
+#> 8228  VR2AR-546380     -5.637917     56.44800             25
+#> 8229  VR2AR-546380     -5.637917     56.44800             25
+#> 8230  VR2AR-546380     -5.637917     56.44800             25
+#> 8231  VR2AR-546380     -5.637917     56.44800             25
+#> 8232  VR2AR-546380     -5.637917     56.44800             25
+#> 8233  VR2AR-546380     -5.637917     56.44800             25
+#> 8234  VR2AR-546380     -5.637917     56.44800             25
+#> 8235      VR2-5637     -5.692417     56.49913             25
+#> 8236      VR2-5637     -5.692417     56.49913             25
+#> 8237      VR2-5637     -5.692417     56.49913             25
+#> 8238      VR2-5637     -5.692417     56.49913             25
+#> 8239      VR2-5637     -5.692417     56.49913             25
+#> 8240      VR2-5637     -5.692417     56.49913             25
+#> 8241      VR2-5637     -5.692417     56.49913             25
+#> 8242      VR2-5637     -5.692417     56.49913             25
+#> 8243      VR2-5637     -5.692417     56.49913             25
+#> 8244      VR2-5637     -5.692417     56.49913             25
+#> 8245  VR2AR-546380     -5.637917     56.44800             25
+#> 8246  VR2AR-546380     -5.637917     56.44800             25
+#> 8247  VR2AR-546380     -5.637917     56.44800             25
+#> 8248  VR2AR-546380     -5.637917     56.44800             25
+#> 8249  VR2AR-546380     -5.637917     56.44800             25
+#> 8250  VR2AR-546380     -5.637917     56.44800             25
+#> 8251  VR2AR-546380     -5.637917     56.44800             25
+#> 8252  VR2AR-546380     -5.637917     56.44800             25
+#> 8253  VR2AR-546380     -5.637917     56.44800             25
+#> 8254  VR2AR-546380     -5.637917     56.44800             25
+#> 8255  VR2AR-546380     -5.637917     56.44800             25
+#> 8256  VR2AR-546380     -5.637917     56.44800             25
+#> 8257  VR2AR-546380     -5.637917     56.44800             25
+#> 8258  VR2AR-546380     -5.637917     56.44800             25
+#> 8259  VR2AR-546134     -5.643867     56.38278            145
+#> 8260  VR2AR-546134     -5.643867     56.38278            145
+#> 8261  VR2AR-546134     -5.643867     56.38278            145
+#> 8262  VR2AR-546134     -5.643867     56.38278            145
+#> 8263  VR2AR-546134     -5.643867     56.38278            145
+#> 8264  VR2AR-546134     -5.643867     56.38278            145
+#> 8265  VR2AR-546134     -5.643867     56.38278            145
+#> 8266  VR2AR-546134     -5.643867     56.38278            145
+#> 8267  VR2AR-546134     -5.643867     56.38278            145
+#> 8268  VR2AR-546134     -5.643867     56.38278            145
+#> 8269  VR2AR-546134     -5.643867     56.38278            145
+#> 8270  VR2AR-546134     -5.643867     56.38278            145
+#> 8271  VR2AR-546134     -5.643867     56.38278            145
+#> 8272  VR2AR-546134     -5.643867     56.38278            145
+#> 8273  VR2AR-546134     -5.643867     56.38278            145
+#> 8274  VR2AR-546134     -5.643867     56.38278            145
+#> 8275  VR2AR-546134     -5.643867     56.38278            145
+#> 8276  VR2AR-546134     -5.643867     56.38278            145
+#> 8277  VR2AR-546134     -5.643867     56.38278            145
+#> 8278  VR2AR-546134     -5.643867     56.38278            145
+#> 8279  VR2AR-546134     -5.643867     56.38278            145
+#> 8280  VR2AR-546134     -5.643867     56.38278            145
+#> 8281  VR2AR-546134     -5.643867     56.38278            145
+#> 8282  VR2AR-546134     -5.643867     56.38278            145
+#> 8283  VR2AR-546134     -5.643867     56.38278            145
+#> 8284  VR2AR-546134     -5.643867     56.38278            145
+#> 8285  VR2AR-546134     -5.643867     56.38278            145
+#> 8286  VR2AR-546134     -5.643867     56.38278            145
+#> 8287  VR2AR-546134     -5.643867     56.38278            145
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+#> 8289  VR2AR-546134     -5.643867     56.38278            145
+#> 8290  VR2AR-546134     -5.643867     56.38278            145
+#> 8291  VR2AR-546134     -5.643867     56.38278            145
+#> 8292  VR2AR-546134     -5.643867     56.38278            145
+#> 8293  VR2AR-546134     -5.643867     56.38278            145
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+#> 8295  VR2AR-546135     -5.657067     56.38803             85
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+#> 8297  VR2AR-546135     -5.657067     56.38803             85
+#> 8298  VR2AR-546135     -5.657067     56.38803             85
+#> 8299  VR2AR-546135     -5.657067     56.38803             85
+#> 8300  VR2AR-546135     -5.657067     56.38803             85
+#> 8301  VR2AR-546135     -5.657067     56.38803             85
+#> 8302  VR2AR-546135     -5.657067     56.38803             85
+#> 8303  VR2AR-546135     -5.657067     56.38803             85
+#> 8304  VR2AR-546135     -5.657067     56.38803             85
+#> 8305  VR2AR-546135     -5.657067     56.38803             85
+#> 8306  VR2AR-546135     -5.657067     56.38803             85
+#> 8307  VR2AR-546135     -5.657067     56.38803             85
+#> 8308  VR2AR-546135     -5.657067     56.38803             85
+#> 8309  VR2AR-546135     -5.657067     56.38803             85
+#> 8310  VR2AR-546135     -5.657067     56.38803             85
+#> 8311  VR2AR-546135     -5.657067     56.38803             85
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+#> 8313  VR2AR-546135     -5.657067     56.38803             85
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+#> 8315  VR2AR-546135     -5.657067     56.38803             85
+#> 8316  VR2AR-546135     -5.657067     56.38803             85
+#> 8317  VR2AR-546135     -5.657067     56.38803             85
+#> 8318  VR2AR-546135     -5.657067     56.38803             85
+#> 8319  VR2AR-546135     -5.657067     56.38803             85
+#> 8320  VR2AR-546135     -5.657067     56.38803             85
+#> 8321  VR2AR-546135     -5.657067     56.38803             85
+#> 8322  VR2AR-546134     -5.643867     56.38278            145
+#> 8323  VR2AR-546134     -5.643867     56.38278            145
+#> 8324  VR2AR-546134     -5.643867     56.38278            145
+#> 8325  VR2AR-546134     -5.643867     56.38278            145
+#> 8326  VR2AR-546134     -5.643867     56.38278            145
+#> 8327  VR2AR-546134     -5.643867     56.38278            145
+#> 8328  VR2AR-546134     -5.643867     56.38278            145
+#> 8329  VR2AR-546134     -5.643867     56.38278            145
+#> 8330  VR2AR-546134     -5.643867     56.38278            145
+#> 8331  VR2AR-546134     -5.643867     56.38278            145
+#> 8332  VR2AR-546134     -5.643867     56.38278            145
+#> 8333  VR2AR-546134     -5.643867     56.38278            145
+#> 8334  VR2AR-546134     -5.643867     56.38278            145
+#> 8335  VR2AR-546134     -5.643867     56.38278            145
+#> 8336  VR2AR-546134     -5.643867     56.38278            145
+#> 8337  VR2AR-546134     -5.643867     56.38278            145
+#> 8338  VR2AR-546134     -5.643867     56.38278            145
+#> 8339  VR2AR-546134     -5.643867     56.38278            145
+#> 8340  VR2AR-546134     -5.643867     56.38278            145
+#> 8341  VR2AR-546134     -5.643867     56.38278            145
+#> 8342  VR2AR-546134     -5.643867     56.38278            145
+#> 8343  VR2AR-546134     -5.643867     56.38278            145
+#> 8344  VR2AR-546134     -5.643867     56.38278            145
+#> 8345  VR2AR-546134     -5.643867     56.38278            145
+#> 8346  VR2AR-546134     -5.643867     56.38278            145
+#> 8347  VR2AR-546134     -5.643867     56.38278            145
+#> 8348  VR2AR-546134     -5.643867     56.38278            145
+#> 8349  VR2AR-546134     -5.643867     56.38278            145
+#> 8350  VR2AR-546134     -5.643867     56.38278            145
+#> 8351   VR2W-108160     -5.631733     56.37447             50
+#> 8352  VR2AR-546131     -5.612700     56.37988             35
+#> 8353  VR2AR-546131     -5.612700     56.37988             35
+#> 8354  VR2AR-546131     -5.612700     56.37988             35
+#> 8355  VR2AR-546131     -5.612700     56.37988             35
+#> 8356  VR2AR-546131     -5.612700     56.37988             35
+#> 8357  VR2AR-546131     -5.612700     56.37988             35
+#> 8358  VR2AR-546131     -5.612700     56.37988             35
+#> 8359  VR2AR-546131     -5.612700     56.37988             35
+#> 8360  VR2AR-546131     -5.612700     56.37988             35
+#> 8361  VR2AR-546131     -5.612700     56.37988             35
+#> 8362  VR2AR-546131     -5.612700     56.37988             35
+#> 8363  VR2AR-546131     -5.612700     56.37988             35
+#> 8364  VR2AR-546131     -5.612700     56.37988             35
+#> 8365  VR2AR-546131     -5.612700     56.37988             35
+#> 8366  VR2AR-546131     -5.612700     56.37988             35
+#> 8367  VR2AR-546131     -5.612700     56.37988             35
+#> 8368  VR2AR-546131     -5.612700     56.37988             35
+#> 8369  VR2AR-546131     -5.612700     56.37988             35
+#> 8370  VR2AR-546131     -5.612700     56.37988             35
+#> 8371  VR2AR-546131     -5.612700     56.37988             35
+#> 8372  VR2AR-546131     -5.612700     56.37988             35
+#> 8373  VR2AR-546131     -5.612700     56.37988             35
+#> 8374  VR2AR-546131     -5.612700     56.37988             35
+#> 8375  VR2AR-546131     -5.612700     56.37988             35
+#> 8376  VR2AR-546131     -5.612700     56.37988             35
+#> 8377  VR2AR-546131     -5.612700     56.37988             35
+#> 8378  VR2AR-546131     -5.612700     56.37988             35
+#> 8379  VR2AR-546131     -5.612700     56.37988             35
+#> 8380  VR2AR-546131     -5.612700     56.37988             35
+#> 8381  VR2AR-546131     -5.612700     56.37988             35
+#> 8382  VR2AR-546131     -5.612700     56.37988             35
+#> 8383  VR2AR-546131     -5.612700     56.37988             35
+#> 8384  VR2AR-546131     -5.612700     56.37988             35
+#> 8385  VR2AR-546131     -5.612700     56.37988             35
+#> 8386  VR2AR-546131     -5.612700     56.37988             35
+#> 8387  VR2AR-546131     -5.612700     56.37988             35
+#> 8388  VR2AR-546131     -5.612700     56.37988             35
+#> 8389  VR2AR-546131     -5.612700     56.37988             35
+#> 8390  VR2AR-546131     -5.612700     56.37988             35
+#> 8391  VR2AR-546131     -5.612700     56.37988             35
+#> 8392  VR2AR-546131     -5.612700     56.37988             35
+#> 8393  VR2AR-546131     -5.612700     56.37988             35
+#> 8394  VR2AR-546131     -5.612700     56.37988             35
+#> 8395  VR2AR-546131     -5.612700     56.37988             35
+#> 8396  VR2AR-546131     -5.612700     56.37988             35
+#> 8397  VR2AR-546131     -5.612700     56.37988             35
+#> 8398  VR2AR-546131     -5.612700     56.37988             35
+#> 8399  VR2AR-546131     -5.612700     56.37988             35
+#> 8400  VR2AR-546131     -5.612700     56.37988             35
+#> 8401  VR2AR-546131     -5.612700     56.37988             35
+#> 8402  VR2AR-546131     -5.612700     56.37988             35
+#> 8403  VR2AR-546131     -5.612700     56.37988             35
+#> 8404  VR2AR-546131     -5.612700     56.37988             35
+#> 8405  VR2AR-546131     -5.612700     56.37988             35
+#> 8406  VR2AR-546131     -5.612700     56.37988             35
+#> 8407  VR2AR-546131     -5.612700     56.37988             35
+#> 8408  VR2AR-546131     -5.612700     56.37988             35
+#> 8409  VR2AR-546131     -5.612700     56.37988             35
+#> 8410  VR2AR-546131     -5.612700     56.37988             35
+#> 8411  VR2AR-546131     -5.612700     56.37988             35
+#> 8412  VR2AR-546131     -5.612700     56.37988             35
+#> 8413  VR2AR-546131     -5.612700     56.37988             35
+#> 8414  VR2AR-546131     -5.612700     56.37988             35
+#> 8415  VR2AR-546131     -5.612700     56.37988             35
+#> 8416  VR2AR-546131     -5.612700     56.37988             35
+#> 8417  VR2AR-546131     -5.612700     56.37988             35
+#> 8418  VR2AR-546131     -5.612700     56.37988             35
+#> 8419  VR2AR-546131     -5.612700     56.37988             35
+#> 8420  VR2AR-546131     -5.612700     56.37988             35
+#> 8421  VR2AR-546131     -5.612700     56.37988             35
+#> 8422  VR2AR-546131     -5.612700     56.37988             35
+#> 8423  VR2AR-546131     -5.612700     56.37988             35
+#> 8424  VR2AR-546131     -5.612700     56.37988             35
+#> 8425  VR2AR-546131     -5.612700     56.37988             35
+#> 8426  VR2AR-546131     -5.612700     56.37988             35
+#> 8427  VR2AR-546131     -5.612700     56.37988             35
+#> 8428  VR2AR-546131     -5.612700     56.37988             35
+#> 8429  VR2AR-546131     -5.612700     56.37988             35
+#> 8430  VR2AR-546131     -5.612700     56.37988             35
+#> 8431  VR2AR-546131     -5.612700     56.37988             35
+#> 8432  VR2AR-546131     -5.612700     56.37988             35
+#> 8433  VR2AR-546131     -5.612700     56.37988             35
+#> 8434  VR2AR-546131     -5.612700     56.37988             35
+#> 8435  VR2AR-546131     -5.612700     56.37988             35
+#> 8436  VR2AR-546131     -5.612700     56.37988             35
+#> 8437  VR2AR-546131     -5.612700     56.37988             35
+#> 8438  VR2AR-546131     -5.612700     56.37988             35
+#> 8439  VR2AR-546131     -5.612700     56.37988             35
+#> 8440  VR2AR-546131     -5.612700     56.37988             35
+#> 8441  VR2AR-546131     -5.612700     56.37988             35
+#> 8442  VR2AR-546131     -5.612700     56.37988             35
+#> 8443  VR2AR-546131     -5.612700     56.37988             35
+#> 8444  VR2AR-546131     -5.612700     56.37988             35
+#> 8445  VR2AR-546131     -5.612700     56.37988             35
+#> 8446  VR2AR-546131     -5.612700     56.37988             35
+#> 8447  VR2AR-546131     -5.612700     56.37988             35
+#> 8448  VR2AR-546131     -5.612700     56.37988             35
+#> 8449  VR2AR-546131     -5.612700     56.37988             35
+#> 8450  VR2AR-546131     -5.612700     56.37988             35
+#> 8451  VR2AR-546131     -5.612700     56.37988             35
+#> 8452  VR2AR-546131     -5.612700     56.37988             35
+#> 8453  VR2AR-546131     -5.612700     56.37988             35
+#> 8454  VR2AR-546131     -5.612700     56.37988             35
+#> 8455  VR2AR-546131     -5.612700     56.37988             35
+#> 8456  VR2AR-546131     -5.612700     56.37988             35
+#> 8457  VR2AR-546131     -5.612700     56.37988             35
+#> 8458  VR2AR-546131     -5.612700     56.37988             35
+#> 8459  VR2AR-546131     -5.612700     56.37988             35
+#> 8460  VR2AR-546131     -5.612700     56.37988             35
+#> 8461  VR2AR-546131     -5.612700     56.37988             35
+#> 8462  VR2AR-546131     -5.612700     56.37988             35
+#> 8463  VR2AR-546131     -5.612700     56.37988             35
+#> 8464  VR2AR-546131     -5.612700     56.37988             35
+#> 8465  VR2AR-546131     -5.612700     56.37988             35
+#> 8466  VR2AR-546131     -5.612700     56.37988             35
+#> 8467  VR2AR-546131     -5.612700     56.37988             35
+#> 8468  VR2AR-546131     -5.612700     56.37988             35
+#> 8469  VR2AR-546131     -5.612700     56.37988             35
+#> 8470  VR2AR-546131     -5.612700     56.37988             35
+#> 8471  VR2AR-546131     -5.612700     56.37988             35
+#> 8472  VR2AR-546131     -5.612700     56.37988             35
+#> 8473  VR2AR-546131     -5.612700     56.37988             35
+#> 8474  VR2AR-546131     -5.612700     56.37988             35
+#> 8475  VR2AR-546131     -5.612700     56.37988             35
+#> 8476  VR2AR-546131     -5.612700     56.37988             35
+#> 8477  VR2AR-546131     -5.612700     56.37988             35
+#> 8478  VR2AR-546131     -5.612700     56.37988             35
+#> 8479  VR2AR-546131     -5.612700     56.37988             35
+#> 8480  VR2AR-546131     -5.612700     56.37988             35
+#> 8481  VR2AR-546131     -5.612700     56.37988             35
+#> 8482  VR2AR-546131     -5.612700     56.37988             35
+#> 8483  VR2AR-546131     -5.612700     56.37988             35
+#> 8484  VR2AR-546131     -5.612700     56.37988             35
+#> 8485  VR2AR-546131     -5.612700     56.37988             35
+#> 8486  VR2AR-546131     -5.612700     56.37988             35
+#> 8487  VR2AR-546131     -5.612700     56.37988             35
+#> 8488  VR2AR-546131     -5.612700     56.37988             35
+#> 8489  VR2AR-546131     -5.612700     56.37988             35
+#> 8490  VR2AR-546131     -5.612700     56.37988             35
+#> 8491  VR2AR-546131     -5.612700     56.37988             35
+#> 8492  VR2AR-546131     -5.612700     56.37988             35
+#> 8493  VR2AR-546131     -5.612700     56.37988             35
+#> 8494  VR2AR-546131     -5.612700     56.37988             35
+#> 8495  VR2AR-546131     -5.612700     56.37988             35
+#> 8496  VR2AR-546131     -5.612700     56.37988             35
+#> 8497  VR2AR-546131     -5.612700     56.37988             35
+#> 8498  VR2AR-546131     -5.612700     56.37988             35
+#> 8499  VR2AR-546131     -5.612700     56.37988             35
+#> 8500  VR2AR-546131     -5.612700     56.37988             35
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+#> 8505  VR2AR-546131     -5.612700     56.37988             35
+#> 8506  VR2AR-546131     -5.612700     56.37988             35
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+#> 8508  VR2AR-546131     -5.612700     56.37988             35
+#> 8509  VR2AR-546131     -5.612700     56.37988             35
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+#> 8538  VR2AR-546131     -5.612700     56.37988             35
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+#> 8569  VR2AR-546131     -5.612700     56.37988             35
+#> 8570  VR2AR-546131     -5.612700     56.37988             35
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+#> 8574  VR2AR-546131     -5.612700     56.37988             35
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+#> 8584  VR2AR-546131     -5.612700     56.37988             35
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+#> 8587  VR2AR-546131     -5.612700     56.37988             35
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+#> 8589  VR2AR-546131     -5.612700     56.37988             35
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+#> 8591  VR2AR-546131     -5.612700     56.37988             35
+#> 8592  VR2AR-546131     -5.612700     56.37988             35
+#> 8593  VR2AR-546136     -5.626250     56.44810             75
+#> 8594  VR2AR-546136     -5.626250     56.44810             75
+#> 8595  VR2AR-546136     -5.626250     56.44810             75
+#> 8596  VR2AR-546136     -5.626250     56.44810             75
+#> 8597  VR2AR-546136     -5.626250     56.44810             75
+#> 8598  VR2AR-546136     -5.626250     56.44810             75
+#> 8599      VR2-5637     -5.692417     56.49913             25
+#> 8600      VR2-5637     -5.692417     56.49913             25
+#> 8601      VR2-5637     -5.692417     56.49913             25
+#> 8602      VR2-5637     -5.692417     56.49913             25
+#> 8603      VR2-5637     -5.692417     56.49913             25
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+#> 8605      VR2-5637     -5.692417     56.49913             25
+#> 8606      VR2-5637     -5.692417     56.49913             25
+#> 8607      VR2-5637     -5.692417     56.49913             25
+#> 8608      VR2-5637     -5.692417     56.49913             25
+#> 8609      VR2-5637     -5.692417     56.49913             25
+#> 8610      VR2-5637     -5.692417     56.49913             25
+#> 8611      VR2-5637     -5.692417     56.49913             25
+#> 8612      VR2-5637     -5.692417     56.49913             25
+#> 8613      VR2-5637     -5.692417     56.49913             25
+#> 8614      VR2-5637     -5.692417     56.49913             25
+#> 8615      VR2-5637     -5.692417     56.49913             25
+#> 8616  VR2AR-546133     -5.701717     56.49747             90
+#> 8617  VR2AR-546133     -5.701717     56.49747             90
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+#> 8621  VR2AR-546133     -5.701717     56.49747             90
+#> 8622  VR2AR-546133     -5.701717     56.49747             90
+#> 8623      VR2-5637     -5.692417     56.49913             25
+#> 8624      VR2-5637     -5.692417     56.49913             25
+#> 8625      VR2-5637     -5.692417     56.49913             25
+#> 8626      VR2-5637     -5.692417     56.49913             25
+#> 8627      VR2-5637     -5.692417     56.49913             25
+#> 8628      VR2-5637     -5.692417     56.49913             25
+#> 8629      VR2-5637     -5.692417     56.49913             25
+#> 8630      VR2-5637     -5.692417     56.49913             25
+#> 8631      VR2-5637     -5.692417     56.49913             25
+#> 8632      VR2-5637     -5.692417     56.49913             25
+#> 8633      VR2-5637     -5.692417     56.49913             25
+#> 8634      VR2-5637     -5.692417     56.49913             25
+#> 8635      VR2-5637     -5.692417     56.49913             25
+#> 8636      VR2-5637     -5.692417     56.49913             25
+#> 8637      VR2-5637     -5.692417     56.49913             25
+#> 8638      VR2-5637     -5.692417     56.49913             25
+#> 8639      VR2-5637     -5.692417     56.49913             25
+#> 8640      VR2-5637     -5.692417     56.49913             25
+#> 8641      VR2-5637     -5.692417     56.49913             25
+#> 8642      VR2-5637     -5.692417     56.49913             25
+#> 8643      VR2-5637     -5.692417     56.49913             25
+#> 8644      VR2-5637     -5.692417     56.49913             25
+#> 8645      VR2-5637     -5.692417     56.49913             25
+#> 8646      VR2-5637     -5.692417     56.49913             25
+#> 8647      VR2-5637     -5.692417     56.49913             25
+#> 8648      VR2-5637     -5.692417     56.49913             25
+#> 8649      VR2-5637     -5.692417     56.49913             25
+#> 8650      VR2-5637     -5.692417     56.49913             25
+#> 8651      VR2-5637     -5.692417     56.49913             25
+#> 8652      VR2-5637     -5.692417     56.49913             25
+#> 8653      VR2-5637     -5.692417     56.49913             25
+#> 8654      VR2-5637     -5.692417     56.49913             25
+#> 8655      VR2-5637     -5.692417     56.49913             25
+#> 8656      VR2-5637     -5.692417     56.49913             25
+#> 8657  VR2AR-546133     -5.701717     56.49747             90
+#> 8658  VR2AR-546133     -5.701717     56.49747             90
+#> 8659  VR2AR-546133     -5.701717     56.49747             90
+#> 8660  VR2AR-546133     -5.701717     56.49747             90
+#> 8661  VR2AR-546133     -5.701717     56.49747             90
+#> 8662  VR2AR-546133     -5.701717     56.49747             90
+#> 8663  VR2AR-546133     -5.701717     56.49747             90
+#> 8664  VR2AR-546133     -5.701717     56.49747             90
+#> 8665  VR2AR-546133     -5.701717     56.49747             90
+#> 8666  VR2AR-546133     -5.701717     56.49747             90
+#> 8667  VR2AR-546133     -5.701717     56.49747             90
+#> 8668  VR2AR-546133     -5.701717     56.49747             90
+#> 8669  VR2AR-546133     -5.701717     56.49747             90
+#> 8670  VR2AR-546133     -5.701717     56.49747             90
+#> 8671  VR2AR-546133     -5.701717     56.49747             90
+#> 8672  VR2AR-546133     -5.701717     56.49747             90
+#> 8673  VR2AR-546133     -5.701717     56.49747             90
+#> 8674  VR2AR-546133     -5.701717     56.49747             90
+#> 8675  VR2AR-546133     -5.701717     56.49747             90
+#> 8676  VR2AR-546133     -5.701717     56.49747             90
+#> 8677  VR2AR-546133     -5.701717     56.49747             90
+#> 8678  VR2AR-546133     -5.701717     56.49747             90
+#> 8679  VR2AR-546133     -5.701717     56.49747             90
+#> 8680  VR2AR-546133     -5.701717     56.49747             90
+#> 8681  VR2AR-546133     -5.701717     56.49747             90
+#> 8682  VR2AR-546133     -5.701717     56.49747             90
+#> 8683  VR2AR-546133     -5.701717     56.49747             90
+#> 8684  VR2AR-546133     -5.701717     56.49747             90
+#> 8685  VR2AR-546133     -5.701717     56.49747             90
+#> 8686  VR2AR-546133     -5.701717     56.49747             90
+#> 8687  VR2AR-546133     -5.701717     56.49747             90
+#> 8688  VR2AR-546133     -5.701717     56.49747             90
+#> 8689  VR2AR-546133     -5.701717     56.49747             90
+#> 8690  VR2AR-546133     -5.701717     56.49747             90
+#> 8691  VR2AR-546133     -5.701717     56.49747             90
+#> 8692  VR2AR-546133     -5.701717     56.49747             90
+#> 8693  VR2AR-546136     -5.626250     56.44810             75
+#> 8694  VR2AR-546136     -5.626250     56.44810             75
+#> 8695  VR2AR-546380     -5.637917     56.44800             25
+#> 8696  VR2AR-546136     -5.626250     56.44810             75
+#> 8697  VR2AR-546380     -5.637917     56.44800             25
+#> 8698  VR2AR-546380     -5.637917     56.44800             25
+#> 8699  VR2AR-546136     -5.626250     56.44810             75
+#> 8700  VR2AR-546380     -5.637917     56.44800             25
+#> 8701  VR2AR-546380     -5.637917     56.44800             25
+#> 8702  VR2AR-546380     -5.637917     56.44800             25
+#> 8703  VR2AR-546380     -5.637917     56.44800             25
+#> 8704  VR2AR-546380     -5.637917     56.44800             25
+#> 8705  VR2AR-546380     -5.637917     56.44800             25
+#> 8706  VR2AR-546380     -5.637917     56.44800             25
+#> 8707  VR2AR-546380     -5.637917     56.44800             25
+#> 8708  VR2AR-546380     -5.637917     56.44800             25
+#> 8709  VR2AR-546380     -5.637917     56.44800             25
+#> 8710  VR2AR-546380     -5.637917     56.44800             25
+#> 8711  VR2AR-546380     -5.637917     56.44800             25
+#> 8712  VR2AR-546380     -5.637917     56.44800             25
+#> 8713  VR2AR-546380     -5.637917     56.44800             25
+#> 8714  VR2AR-546380     -5.637917     56.44800             25
+#> 8715  VR2AR-546380     -5.637917     56.44800             25
+#> 8716  VR2AR-546380     -5.637917     56.44800             25
+#> 8717  VR2AR-546380     -5.637917     56.44800             25
+#> 8718  VR2AR-546380     -5.637917     56.44800             25
+#> 8719  VR2AR-546380     -5.637917     56.44800             25
+#> 8720  VR2AR-546380     -5.637917     56.44800             25
+#> 8721  VR2AR-546380     -5.637917     56.44800             25
+#> 8722  VR2AR-546380     -5.637917     56.44800             25
+#> 8723  VR2AR-546380     -5.637917     56.44800             25
+#> 8724  VR2AR-546380     -5.637917     56.44800             25
+#> 8725  VR2AR-546380     -5.637917     56.44800             25
+#> 8726  VR2AR-546380     -5.637917     56.44800             25
+#> 8727  VR2AR-546380     -5.637917     56.44800             25
+#> 8728  VR2AR-546380     -5.637917     56.44800             25
+#> 8729  VR2AR-546380     -5.637917     56.44800             25
+#> 8730  VR2AR-546380     -5.637917     56.44800             25
+#> 8731  VR2AR-546131     -5.612700     56.37988             35
+#> 8732  VR2AR-546131     -5.612700     56.37988             35
+#> 8733  VR2AR-546131     -5.612700     56.37988             35
+#> 8734  VR2AR-546131     -5.612700     56.37988             35
+#> 8735  VR2AR-546131     -5.612700     56.37988             35
+#> 8736  VR2AR-546131     -5.612700     56.37988             35
+#> 8737  VR2AR-546131     -5.612700     56.37988             35
+#> 8738  VR2AR-546131     -5.612700     56.37988             35
+#> 8739  VR2AR-546131     -5.612700     56.37988             35
+#> 8740  VR2AR-546131     -5.612700     56.37988             35
+#> 8741  VR2AR-546131     -5.612700     56.37988             35
+#> 8742  VR2AR-546131     -5.612700     56.37988             35
+#> 8743  VR2AR-546131     -5.612700     56.37988             35
+#> 8744  VR2AR-546131     -5.612700     56.37988             35
+#> 8745  VR2AR-546131     -5.612700     56.37988             35
+#> 8746  VR2AR-546131     -5.612700     56.37988             35
+#> 8747  VR2AR-546131     -5.612700     56.37988             35
+#> 8748  VR2AR-546131     -5.612700     56.37988             35
+#> 8749  VR2AR-546131     -5.612700     56.37988             35
+#> 8750  VR2AR-546131     -5.612700     56.37988             35
+#> 8751  VR2AR-546131     -5.612700     56.37988             35
+#> 8752  VR2AR-546131     -5.612700     56.37988             35
+#> 8753  VR2AR-546131     -5.612700     56.37988             35
+#> 8754  VR2AR-546131     -5.612700     56.37988             35
+#> 8755  VR2AR-546131     -5.612700     56.37988             35
+#> 8756  VR2AR-546131     -5.612700     56.37988             35
+#> 8757  VR2AR-546131     -5.612700     56.37988             35
+#> 8758  VR2AR-546131     -5.612700     56.37988             35
+#> 8759  VR2AR-546131     -5.612700     56.37988             35
+#> 8760  VR2AR-546131     -5.612700     56.37988             35
+#> 8761  VR2AR-546131     -5.612700     56.37988             35
+#> 8762  VR2AR-546131     -5.612700     56.37988             35
+#> 8763  VR2AR-546131     -5.612700     56.37988             35
+#> 8764  VR2AR-546131     -5.612700     56.37988             35
+#> 8765  VR2AR-546131     -5.612700     56.37988             35
+#> 8766  VR2AR-546131     -5.612700     56.37988             35
+#> 8767  VR2AR-546131     -5.612700     56.37988             35
+#> 8768  VR2AR-546131     -5.612700     56.37988             35
+#> 8769  VR2AR-546131     -5.612700     56.37988             35
+#> 8770  VR2AR-546131     -5.612700     56.37988             35
+#> 8771  VR2AR-546131     -5.612700     56.37988             35
+#> 8772  VR2AR-546131     -5.612700     56.37988             35
+#> 8773  VR2AR-546131     -5.612700     56.37988             35
+#> 8774  VR2AR-546131     -5.612700     56.37988             35
+#> 8775  VR2AR-546131     -5.612700     56.37988             35
+#> 8776  VR2AR-546131     -5.612700     56.37988             35
+#> 8777  VR2AR-546131     -5.612700     56.37988             35
+#> 8778  VR2AR-546131     -5.612700     56.37988             35
+#> 8779  VR2AR-546131     -5.612700     56.37988             35
+#> 8780  VR2AR-546131     -5.612700     56.37988             35
+#> 8781  VR2AR-546131     -5.612700     56.37988             35
+#> 8782  VR2AR-546131     -5.612700     56.37988             35
+#> 8783  VR2AR-546131     -5.612700     56.37988             35
+#> 8784  VR2AR-546131     -5.612700     56.37988             35
+#> 8785  VR2AR-546131     -5.612700     56.37988             35
+#> 8786  VR2AR-546131     -5.612700     56.37988             35
+#> 8787  VR2AR-546131     -5.612700     56.37988             35
+#> 8788  VR2AR-546131     -5.612700     56.37988             35
+#> 8789  VR2AR-546131     -5.612700     56.37988             35
+#> 8790  VR2AR-546131     -5.612700     56.37988             35
+#> 8791  VR2AR-546131     -5.612700     56.37988             35
+#> 8792  VR2AR-546131     -5.612700     56.37988             35
+#> 8793  VR2AR-546131     -5.612700     56.37988             35
+#> 8794  VR2AR-546131     -5.612700     56.37988             35
+#> 8795  VR2AR-546131     -5.612700     56.37988             35
+#> 8796  VR2AR-546131     -5.612700     56.37988             35
+#> 8797  VR2AR-546131     -5.612700     56.37988             35
+#> 8798  VR2AR-546131     -5.612700     56.37988             35
+#> 8799  VR2AR-546131     -5.612700     56.37988             35
+#> 8800  VR2AR-546131     -5.612700     56.37988             35
+#> 8801  VR2AR-546131     -5.612700     56.37988             35
+#> 8802  VR2AR-546131     -5.612700     56.37988             35
+#> 8803  VR2AR-546131     -5.612700     56.37988             35
+#> 8804  VR2AR-546131     -5.612700     56.37988             35
+#> 8805  VR2AR-546131     -5.612700     56.37988             35
+#> 8806  VR2AR-546131     -5.612700     56.37988             35
+#> 8807  VR2AR-546131     -5.612700     56.37988             35
+#> 8808  VR2AR-546131     -5.612700     56.37988             35
+#> 8809  VR2AR-546131     -5.612700     56.37988             35
+#> 8810  VR2AR-546131     -5.612700     56.37988             35
+#> 8811  VR2AR-546131     -5.612700     56.37988             35
+#> 8812  VR2AR-546131     -5.612700     56.37988             35
+#> 8813  VR2AR-546131     -5.612700     56.37988             35
+#> 8814  VR2AR-546131     -5.612700     56.37988             35
+#> 8815  VR2AR-546131     -5.612700     56.37988             35
+#> 8816  VR2AR-546131     -5.612700     56.37988             35
+#> 8817  VR2AR-546131     -5.612700     56.37988             35
+#> 8818  VR2AR-546131     -5.612700     56.37988             35
+#> 8819  VR2AR-546131     -5.612700     56.37988             35
+#> 8820  VR2AR-546131     -5.612700     56.37988             35
+#> 8821  VR2AR-546131     -5.612700     56.37988             35
+#> 8822  VR2AR-546131     -5.612700     56.37988             35
+#> 8823  VR2AR-546131     -5.612700     56.37988             35
+#> 8824  VR2AR-546131     -5.612700     56.37988             35
+#> 8825  VR2AR-546131     -5.612700     56.37988             35
+#> 8826  VR2AR-546131     -5.612700     56.37988             35
+#> 8827  VR2AR-546131     -5.612700     56.37988             35
+#> 8828  VR2AR-546131     -5.612700     56.37988             35
+#> 8829  VR2AR-546131     -5.612700     56.37988             35
+#> 8830  VR2AR-546131     -5.612700     56.37988             35
+#> 8831  VR2AR-546131     -5.612700     56.37988             35
+#> 8832  VR2AR-546131     -5.612700     56.37988             35
+#> 8833  VR2AR-546131     -5.612700     56.37988             35
+#> 8834  VR2AR-546131     -5.612700     56.37988             35
+#> 8835  VR2AR-546131     -5.612700     56.37988             35
+#> 8836  VR2AR-546131     -5.612700     56.37988             35
+#> 8837  VR2AR-546131     -5.612700     56.37988             35
+#> 8838  VR2AR-546131     -5.612700     56.37988             35
+#> 8839  VR2AR-546131     -5.612700     56.37988             35
+#> 8840  VR2AR-546131     -5.612700     56.37988             35
+#> 8841  VR2AR-546131     -5.612700     56.37988             35
+#> 8842  VR2AR-546131     -5.612700     56.37988             35
+#> 8843  VR2AR-546131     -5.612700     56.37988             35
+#> 8844  VR2AR-546131     -5.612700     56.37988             35
+#> 8845  VR2AR-546131     -5.612700     56.37988             35
+#> 8846  VR2AR-546131     -5.612700     56.37988             35
+#> 8847  VR2AR-546131     -5.612700     56.37988             35
+#> 8848  VR2AR-546131     -5.612700     56.37988             35
+#> 8849  VR2AR-546131     -5.612700     56.37988             35
+#> 8850  VR2AR-546131     -5.612700     56.37988             35
+#> 8851  VR2AR-546131     -5.612700     56.37988             35
+#> 8852  VR2AR-546131     -5.612700     56.37988             35
+#> 8853  VR2AR-546131     -5.612700     56.37988             35
+#> 8854  VR2AR-546131     -5.612700     56.37988             35
+#> 8855  VR2AR-546131     -5.612700     56.37988             35
+#> 8856  VR2AR-546131     -5.612700     56.37988             35
+#> 8857  VR2AR-546131     -5.612700     56.37988             35
+#> 8858  VR2AR-546131     -5.612700     56.37988             35
+#> 8859  VR2AR-546131     -5.612700     56.37988             35
+#> 8860  VR2AR-546131     -5.612700     56.37988             35
+#> 8861  VR2AR-546131     -5.612700     56.37988             35
+#> 8862  VR2AR-546131     -5.612700     56.37988             35
+#> 8863  VR2AR-546131     -5.612700     56.37988             35
+#> 8864  VR2AR-546131     -5.612700     56.37988             35
+#> 8865  VR2AR-546131     -5.612700     56.37988             35
+#> 8866  VR2AR-546131     -5.612700     56.37988             35
+#> 8867  VR2AR-546131     -5.612700     56.37988             35
+#> 8868  VR2AR-546131     -5.612700     56.37988             35
+#> 8869  VR2AR-546131     -5.612700     56.37988             35
+#> 8870  VR2AR-546131     -5.612700     56.37988             35
+#> 8871  VR2AR-546131     -5.612700     56.37988             35
+#> 8872  VR2AR-546131     -5.612700     56.37988             35
+#> 8873  VR2AR-546131     -5.612700     56.37988             35
+#> 8874  VR2AR-546131     -5.612700     56.37988             35
+#> 8875  VR2AR-546131     -5.612700     56.37988             35
+#> 8876  VR2AR-546131     -5.612700     56.37988             35
+#> 8877  VR2AR-546131     -5.612700     56.37988             35
+#> 8878  VR2AR-546131     -5.612700     56.37988             35
+#> 8879  VR2AR-546131     -5.612700     56.37988             35
+#> 8880  VR2AR-546131     -5.612700     56.37988             35
+#> 8881  VR2AR-546131     -5.612700     56.37988             35
+#> 8882  VR2AR-546131     -5.612700     56.37988             35
+#> 8883  VR2AR-546131     -5.612700     56.37988             35
+#> 8884  VR2AR-546131     -5.612700     56.37988             35
+#> 8885  VR2AR-546131     -5.612700     56.37988             35
+#> 8886  VR2AR-546131     -5.612700     56.37988             35
+#> 8887  VR2AR-546131     -5.612700     56.37988             35
+#> 8888  VR2AR-546131     -5.612700     56.37988             35
+#> 8889  VR2AR-546131     -5.612700     56.37988             35
+#> 8890  VR2AR-546131     -5.612700     56.37988             35
+#> 8891  VR2AR-546131     -5.612700     56.37988             35
+#> 8892  VR2AR-546131     -5.612700     56.37988             35
+#> 8893  VR2AR-546131     -5.612700     56.37988             35
+#> 8894  VR2AR-546131     -5.612700     56.37988             35
+#> 8895  VR2AR-546131     -5.612700     56.37988             35
+#> 8896  VR2AR-546131     -5.612700     56.37988             35
+#> 8897  VR2AR-546131     -5.612700     56.37988             35
+#> 8898  VR2AR-546131     -5.612700     56.37988             35
+#> 8899  VR2AR-546131     -5.612700     56.37988             35
+#> 8900  VR2AR-546131     -5.612700     56.37988             35
+#> 8901  VR2AR-546131     -5.612700     56.37988             35
+#> 8902  VR2AR-546131     -5.612700     56.37988             35
+#> 8903  VR2AR-546131     -5.612700     56.37988             35
+#> 8904  VR2AR-546131     -5.612700     56.37988             35
+#> 8905  VR2AR-546131     -5.612700     56.37988             35
+#> 8906  VR2AR-546131     -5.612700     56.37988             35
+#> 8907  VR2AR-546131     -5.612700     56.37988             35
+#> 8908  VR2AR-546131     -5.612700     56.37988             35
+#> 8909  VR2AR-546131     -5.612700     56.37988             35
+#> 8910  VR2AR-546131     -5.612700     56.37988             35
+#> 8911  VR2AR-546131     -5.612700     56.37988             35
+#> 8912  VR2AR-546131     -5.612700     56.37988             35
+#> 8913  VR2AR-546131     -5.612700     56.37988             35
+#> 8914  VR2AR-546131     -5.612700     56.37988             35
+#> 8915  VR2AR-546131     -5.612700     56.37988             35
+#> 8916  VR2AR-546131     -5.612700     56.37988             35
+#> 8917  VR2AR-546131     -5.612700     56.37988             35
+#> 8918  VR2AR-546131     -5.612700     56.37988             35
+#> 8919  VR2AR-546131     -5.612700     56.37988             35
+#> 8920  VR2AR-546131     -5.612700     56.37988             35
+#> 8921  VR2AR-546131     -5.612700     56.37988             35
+#> 8922  VR2AR-546131     -5.612700     56.37988             35
+#> 8923  VR2AR-546131     -5.612700     56.37988             35
+#> 8924  VR2AR-546131     -5.612700     56.37988             35
+#> 8925  VR2AR-546131     -5.612700     56.37988             35
+#> 8926  VR2AR-546131     -5.612700     56.37988             35
+#> 8927  VR2AR-546131     -5.612700     56.37988             35
+#> 8928  VR2AR-546131     -5.612700     56.37988             35
+#> 8929  VR2AR-546131     -5.612700     56.37988             35
+#> 8930  VR2AR-546131     -5.612700     56.37988             35
+#> 8931  VR2AR-546131     -5.612700     56.37988             35
+#> 8932  VR2AR-546131     -5.612700     56.37988             35
+#> 8933  VR2AR-546131     -5.612700     56.37988             35
+#> 8934  VR2AR-546131     -5.612700     56.37988             35
+#> 8935  VR2AR-546131     -5.612700     56.37988             35
+#> 8936  VR2AR-546131     -5.612700     56.37988             35
+#> 8937  VR2AR-546131     -5.612700     56.37988             35
+#> 8938  VR2AR-546131     -5.612700     56.37988             35
+#> 8939  VR2AR-546131     -5.612700     56.37988             35
+#> 8940  VR2AR-546131     -5.612700     56.37988             35
+#> 8941  VR2AR-546131     -5.612700     56.37988             35
+#> 8942  VR2AR-546131     -5.612700     56.37988             35
+#> 8943  VR2AR-546131     -5.612700     56.37988             35
+#> 8944  VR2AR-546131     -5.612700     56.37988             35
+#> 8945  VR2AR-546131     -5.612700     56.37988             35
+#> 8946  VR2AR-546131     -5.612700     56.37988             35
+#> 8947  VR2AR-546131     -5.612700     56.37988             35
+#> 8948  VR2AR-546131     -5.612700     56.37988             35
+#> 8949  VR2AR-546131     -5.612700     56.37988             35
+#> 8950  VR2AR-546131     -5.612700     56.37988             35
+#> 8951  VR2AR-546131     -5.612700     56.37988             35
+#> 8952  VR2AR-546131     -5.612700     56.37988             35
+#> 8953  VR2AR-546131     -5.612700     56.37988             35
+#> 8954  VR2AR-546131     -5.612700     56.37988             35
+#> 8955  VR2AR-546131     -5.612700     56.37988             35
+#> 8956  VR2AR-546131     -5.612700     56.37988             35
+#> 8957  VR2AR-546135     -5.657067     56.38803             85
+#> 8958  VR2AR-546135     -5.657067     56.38803             85
+#> 8959  VR2AR-546135     -5.657067     56.38803             85
+#> 8960  VR2AR-546135     -5.657067     56.38803             85
+#> 8961  VR2AR-546135     -5.657067     56.38803             85
+#> 8962  VR2AR-546135     -5.657067     56.38803             85
+#> 8963  VR2AR-546135     -5.657067     56.38803             85
+#> 8964  VR2AR-546135     -5.657067     56.38803             85
+#> 8965  VR2AR-546135     -5.657067     56.38803             85
+#> 8966  VR2AR-546135     -5.657067     56.38803             85
+#> 8967  VR2AR-546135     -5.657067     56.38803             85
+#> 8968  VR2AR-546135     -5.657067     56.38803             85
+#> 8969  VR2AR-546135     -5.657067     56.38803             85
+#> 8970  VR2AR-546135     -5.657067     56.38803             85
+#> 8971  VR2AR-546135     -5.657067     56.38803             85
+#> 8972  VR2AR-546135     -5.657067     56.38803             85
+#> 8973  VR2AR-546135     -5.657067     56.38803             85
+#> 8974  VR2AR-546135     -5.657067     56.38803             85
+#> 8975  VR2AR-546135     -5.657067     56.38803             85
+#> 8976  VR2AR-546135     -5.657067     56.38803             85
+#> 8977  VR2AR-546135     -5.657067     56.38803             85
+#> 8978  VR2AR-546135     -5.657067     56.38803             85
+#> 8979  VR2AR-546135     -5.657067     56.38803             85
+#> 8980  VR2AR-546135     -5.657067     56.38803             85
+#> 8981  VR2AR-546135     -5.657067     56.38803             85
+#> 8982  VR2AR-546135     -5.657067     56.38803             85
+#> 8983  VR2AR-546135     -5.657067     56.38803             85
+#> 8984  VR2AR-546134     -5.643867     56.38278            145
+#> 8985  VR2AR-546134     -5.643867     56.38278            145
+#> 8986  VR2AR-546134     -5.643867     56.38278            145
+#> 8987  VR2AR-546134     -5.643867     56.38278            145
+#> 8988  VR2AR-546134     -5.643867     56.38278            145
+#> 8989  VR2AR-546134     -5.643867     56.38278            145
+#> 8990  VR2AR-546134     -5.643867     56.38278            145
+#> 8991  VR2AR-546134     -5.643867     56.38278            145
+#> 8992  VR2AR-546134     -5.643867     56.38278            145
+#> 8993  VR2AR-546134     -5.643867     56.38278            145
+#> 8994  VR2AR-546134     -5.643867     56.38278            145
+#> 8995  VR2AR-546135     -5.657067     56.38803             85
+#> 8996  VR2AR-546135     -5.657067     56.38803             85
+#> 8997  VR2AR-546135     -5.657067     56.38803             85
+#> 8998  VR2AR-546135     -5.657067     56.38803             85
+#> 8999  VR2AR-546135     -5.657067     56.38803             85
+#> 9000  VR2AR-546135     -5.657067     56.38803             85
+#> 9001  VR2AR-546135     -5.657067     56.38803             85
+#> 9002  VR2AR-546135     -5.657067     56.38803             85
+#> 9003  VR2AR-546135     -5.657067     56.38803             85
+#> 9004  VR2AR-546135     -5.657067     56.38803             85
+#> 9005  VR2AR-546135     -5.657067     56.38803             85
+#> 9006  VR2AR-546135     -5.657067     56.38803             85
+#> 9007  VR2AR-546135     -5.657067     56.38803             85
+#> 9008  VR2AR-546135     -5.657067     56.38803             85
+#> 9009  VR2AR-546135     -5.657067     56.38803             85
+#> 9010  VR2AR-546135     -5.657067     56.38803             85
+#> 9011  VR2AR-546135     -5.657067     56.38803             85
+#> 9012  VR2AR-546135     -5.657067     56.38803             85
+#> 9013  VR2AR-546135     -5.657067     56.38803             85
+#> 9014  VR2AR-546135     -5.657067     56.38803             85
+#> 9015  VR2AR-546135     -5.657067     56.38803             85
+#> 9016  VR2AR-546135     -5.657067     56.38803             85
+#> 9017  VR2AR-546135     -5.657067     56.38803             85
+#> 9018  VR2AR-546135     -5.657067     56.38803             85
+#> 9019  VR2AR-546135     -5.657067     56.38803             85
+#> 9020  VR2AR-546135     -5.657067     56.38803             85
+#> 9021  VR2AR-546135     -5.657067     56.38803             85
+#> 9022  VR2AR-546135     -5.657067     56.38803             85
+#> 9023  VR2AR-546135     -5.657067     56.38803             85
+#> 9024  VR2AR-546135     -5.657067     56.38803             85
+#> 9025  VR2AR-546135     -5.657067     56.38803             85
+#> 9026  VR2AR-546135     -5.657067     56.38803             85
+#> 9027  VR2AR-546135     -5.657067     56.38803             85
+#> 9028  VR2AR-546135     -5.657067     56.38803             85
+#> 9029  VR2AR-546135     -5.657067     56.38803             85
+#> 9030  VR2AR-546135     -5.657067     56.38803             85
+#> 9031  VR2AR-546135     -5.657067     56.38803             85
+#> 9032  VR2AR-546135     -5.657067     56.38803             85
+#> 9033  VR2AR-546135     -5.657067     56.38803             85
+#> 9034  VR2AR-546135     -5.657067     56.38803             85
+#> 9035  VR2AR-546135     -5.657067     56.38803             85
+#> 9036  VR2AR-546135     -5.657067     56.38803             85
+#> 9037  VR2AR-546135     -5.657067     56.38803             85
+#> 9038  VR2AR-546135     -5.657067     56.38803             85
+#> 9039  VR2AR-546131     -5.612700     56.37988             35
+#> 9040  VR2AR-546131     -5.612700     56.37988             35
+#> 9041  VR2AR-546131     -5.612700     56.37988             35
+#> 9042  VR2AR-546131     -5.612700     56.37988             35
+#> 9043  VR2AR-546131     -5.612700     56.37988             35
+#> 9044  VR2AR-546131     -5.612700     56.37988             35
+#> 9045  VR2AR-546131     -5.612700     56.37988             35
+#> 9046  VR2AR-546131     -5.612700     56.37988             35
+#> 9047  VR2AR-546131     -5.612700     56.37988             35
+#> 9048  VR2AR-546131     -5.612700     56.37988             35
+#> 9049  VR2AR-546131     -5.612700     56.37988             35
+#> 9050  VR2AR-546131     -5.612700     56.37988             35
+#> 9051  VR2AR-546131     -5.612700     56.37988             35
+#> 9052  VR2AR-546131     -5.612700     56.37988             35
+#> 9053  VR2AR-546131     -5.612700     56.37988             35
+#> 9054  VR2AR-546131     -5.612700     56.37988             35
+#> 9055  VR2AR-546131     -5.612700     56.37988             35
+#> 9056  VR2AR-546131     -5.612700     56.37988             35
+#> 9057  VR2AR-546131     -5.612700     56.37988             35
+#> 9058  VR2AR-546131     -5.612700     56.37988             35
+#> 9059  VR2AR-546131     -5.612700     56.37988             35
+#> 9060  VR2AR-546131     -5.612700     56.37988             35
+#> 9061  VR2AR-546131     -5.612700     56.37988             35
+#> 9062  VR2AR-546131     -5.612700     56.37988             35
+#> 9063  VR2AR-546131     -5.612700     56.37988             35
+#> 9064  VR2AR-546131     -5.612700     56.37988             35
+#> 9065  VR2AR-546131     -5.612700     56.37988             35
+#> 9066  VR2AR-546131     -5.612700     56.37988             35
+#> 9067  VR2AR-546131     -5.612700     56.37988             35
+#> 9068  VR2AR-546131     -5.612700     56.37988             35
+#> 9069  VR2AR-546131     -5.612700     56.37988             35
+#> 9070  VR2AR-546131     -5.612700     56.37988             35
+#> 9071  VR2AR-546131     -5.612700     56.37988             35
+#> 9072  VR2AR-546131     -5.612700     56.37988             35
+#> 9073  VR2AR-546131     -5.612700     56.37988             35
+#> 9074  VR2AR-546131     -5.612700     56.37988             35
+#> 9075  VR2AR-546131     -5.612700     56.37988             35
+#> 9076  VR2AR-546131     -5.612700     56.37988             35
+#> 9077  VR2AR-546131     -5.612700     56.37988             35
+#> 9078  VR2AR-546131     -5.612700     56.37988             35
+#> 9079  VR2AR-546131     -5.612700     56.37988             35
+#> 9080  VR2AR-546131     -5.612700     56.37988             35
+#> 9081  VR2AR-546131     -5.612700     56.37988             35
+#> 9082  VR2AR-546131     -5.612700     56.37988             35
+#> 9083  VR2AR-546131     -5.612700     56.37988             35
+#> 9084  VR2AR-546131     -5.612700     56.37988             35
+#> 9085  VR2AR-546131     -5.612700     56.37988             35
+#> 9086  VR2AR-546131     -5.612700     56.37988             35
+#> 9087  VR2AR-546131     -5.612700     56.37988             35
+#> 9088  VR2AR-546131     -5.612700     56.37988             35
+#> 9089  VR2AR-546131     -5.612700     56.37988             35
+#> 9090  VR2AR-546131     -5.612700     56.37988             35
+#> 9091  VR2AR-546131     -5.612700     56.37988             35
+#> 9092  VR2AR-546131     -5.612700     56.37988             35
+#> 9093  VR2AR-546131     -5.612700     56.37988             35
+#> 9094  VR2AR-546131     -5.612700     56.37988             35
+#> 9095  VR2AR-546131     -5.612700     56.37988             35
+#> 9096  VR2AR-546131     -5.612700     56.37988             35
+#> 9097  VR2AR-546131     -5.612700     56.37988             35
+#> 9098  VR2AR-546131     -5.612700     56.37988             35
+#> 9099  VR2AR-546131     -5.612700     56.37988             35
+#> 9100  VR2AR-546131     -5.612700     56.37988             35
+#> 9101  VR2AR-546131     -5.612700     56.37988             35
+#> 9102  VR2AR-546131     -5.612700     56.37988             35
+#> 9103  VR2AR-546131     -5.612700     56.37988             35
+#> 9104  VR2AR-546131     -5.612700     56.37988             35
+#> 9105  VR2AR-546131     -5.612700     56.37988             35
+#> 9106  VR2AR-546131     -5.612700     56.37988             35
+#> 9107  VR2AR-546131     -5.612700     56.37988             35
+#> 9108  VR2AR-546131     -5.612700     56.37988             35
+#> 9109  VR2AR-546131     -5.612700     56.37988             35
+#> 9110  VR2AR-546131     -5.612700     56.37988             35
+#> 9111  VR2AR-546131     -5.612700     56.37988             35
+#> 9112  VR2AR-546131     -5.612700     56.37988             35
+#> 9113  VR2AR-546131     -5.612700     56.37988             35
+#> 9114  VR2AR-546131     -5.612700     56.37988             35
+#> 9115  VR2AR-546131     -5.612700     56.37988             35
+#> 9116  VR2AR-546131     -5.612700     56.37988             35
+#> 9117  VR2AR-546131     -5.612700     56.37988             35
+#> 9118  VR2AR-546131     -5.612700     56.37988             35
+#> 9119  VR2AR-546131     -5.612700     56.37988             35
+#> 9120  VR2AR-546131     -5.612700     56.37988             35
+#> 9121  VR2AR-546131     -5.612700     56.37988             35
+#> 9122  VR2AR-546131     -5.612700     56.37988             35
+#> 9123  VR2AR-546131     -5.612700     56.37988             35
+#> 9124  VR2AR-546131     -5.612700     56.37988             35
+#> 9125  VR2AR-546131     -5.612700     56.37988             35
+#> 9126  VR2AR-546131     -5.612700     56.37988             35
+#> 9127  VR2AR-546131     -5.612700     56.37988             35
+#> 9128  VR2AR-546131     -5.612700     56.37988             35
+#> 9129  VR2AR-546131     -5.612700     56.37988             35
+#> 9130  VR2AR-546131     -5.612700     56.37988             35
+#> 9131  VR2AR-546131     -5.612700     56.37988             35
+#> 9132  VR2AR-546131     -5.612700     56.37988             35
+#> 9133  VR2AR-546131     -5.612700     56.37988             35
+#> 9134  VR2AR-546131     -5.612700     56.37988             35
+#> 9135  VR2AR-546131     -5.612700     56.37988             35
+#> 9136  VR2AR-546131     -5.612700     56.37988             35
+#> 9137  VR2AR-546131     -5.612700     56.37988             35
+#> 9138  VR2AR-546131     -5.612700     56.37988             35
+#> 9139  VR2AR-546131     -5.612700     56.37988             35
+#> 9140  VR2AR-546131     -5.612700     56.37988             35
+#> 9141  VR2AR-546131     -5.612700     56.37988             35
+#> 9142  VR2AR-546131     -5.612700     56.37988             35
+#> 9143  VR2AR-546131     -5.612700     56.37988             35
+#> 9144  VR2AR-546131     -5.612700     56.37988             35
+#> 9145  VR2AR-546131     -5.612700     56.37988             35
+#> 9146  VR2AR-546131     -5.612700     56.37988             35
+#> 9147  VR2AR-546131     -5.612700     56.37988             35
+#> 9148  VR2AR-546131     -5.612700     56.37988             35
+#> 9149  VR2AR-546131     -5.612700     56.37988             35
+#> 9150  VR2AR-546131     -5.612700     56.37988             35
+#> 9151  VR2AR-546131     -5.612700     56.37988             35
+#> 9152  VR2AR-546131     -5.612700     56.37988             35
+#> 9153  VR2AR-546131     -5.612700     56.37988             35
+#> 9154  VR2AR-546131     -5.612700     56.37988             35
+#> 9155  VR2AR-546131     -5.612700     56.37988             35
+#> 9156  VR2AR-546131     -5.612700     56.37988             35
+#> 9157  VR2AR-546131     -5.612700     56.37988             35
+#> 9158  VR2AR-546131     -5.612700     56.37988             35
+#> 9159  VR2AR-546131     -5.612700     56.37988             35
+#> 9160  VR2AR-546131     -5.612700     56.37988             35
+#> 9161  VR2AR-546131     -5.612700     56.37988             35
+#> 9162  VR2AR-546131     -5.612700     56.37988             35
+#> 9163  VR2AR-546131     -5.612700     56.37988             35
+#> 9164  VR2AR-546131     -5.612700     56.37988             35
+#> 9165  VR2AR-546131     -5.612700     56.37988             35
+#> 9166  VR2AR-546131     -5.612700     56.37988             35
+#> 9167  VR2AR-546131     -5.612700     56.37988             35
+#> 9168  VR2AR-546131     -5.612700     56.37988             35
+#> 9169  VR2AR-546131     -5.612700     56.37988             35
+#> 9170  VR2AR-546131     -5.612700     56.37988             35
+#> 9171  VR2AR-546131     -5.612700     56.37988             35
+#> 9172  VR2AR-546131     -5.612700     56.37988             35
+#> 9173  VR2AR-546131     -5.612700     56.37988             35
+#> 9174  VR2AR-546131     -5.612700     56.37988             35
+#> 9175  VR2AR-546131     -5.612700     56.37988             35
+#> 9176  VR2AR-546131     -5.612700     56.37988             35
+#> 9177  VR2AR-546131     -5.612700     56.37988             35
+#> 9178  VR2AR-546131     -5.612700     56.37988             35
+#> 9179  VR2AR-546131     -5.612700     56.37988             35
+#> 9180  VR2AR-546131     -5.612700     56.37988             35
+#> 9181  VR2AR-546131     -5.612700     56.37988             35
+#> 9182  VR2AR-546131     -5.612700     56.37988             35
+#> 9183  VR2AR-546131     -5.612700     56.37988             35
+#> 9184  VR2AR-546131     -5.612700     56.37988             35
+#> 9185  VR2AR-546131     -5.612700     56.37988             35
+#> 9186  VR2AR-546131     -5.612700     56.37988             35
+#> 9187  VR2AR-546131     -5.612700     56.37988             35
+#> 9188  VR2AR-546131     -5.612700     56.37988             35
+#> 9189  VR2AR-546131     -5.612700     56.37988             35
+#> 9190  VR2AR-546131     -5.612700     56.37988             35
+#> 9191  VR2AR-546131     -5.612700     56.37988             35
+#> 9192  VR2AR-546131     -5.612700     56.37988             35
+#> 9193  VR2AR-546131     -5.612700     56.37988             35
+#> 9194  VR2AR-546131     -5.612700     56.37988             35
+#> 9195  VR2AR-546131     -5.612700     56.37988             35
+#> 9196  VR2AR-546131     -5.612700     56.37988             35
+#> 9197  VR2AR-546131     -5.612700     56.37988             35
+#> 9198  VR2AR-546131     -5.612700     56.37988             35
+#> 9199  VR2AR-546131     -5.612700     56.37988             35
+#> 9200  VR2AR-546131     -5.612700     56.37988             35
+#> 9201  VR2AR-546133     -5.701717     56.49747             90
+#> 9202  VR2AR-546133     -5.701717     56.49747             90
+#> 9203  VR2AR-546133     -5.701717     56.49747             90
+#> 9204  VR2AR-546133     -5.701717     56.49747             90
+#> 9205  VR2AR-546133     -5.701717     56.49747             90
+#> 9206  VR2AR-546133     -5.701717     56.49747             90
+#> 9207  VR2AR-546133     -5.701717     56.49747             90
+#> 9208  VR2AR-546133     -5.701717     56.49747             90
+#> 9209  VR2AR-546133     -5.701717     56.49747             90
+#> 9210  VR2AR-546133     -5.701717     56.49747             90
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+#> 9503  VR2AR-546131     -5.612700     56.37988             35
+#> 9504  VR2AR-546131     -5.612700     56.37988             35
+#> 9505  VR2AR-546131     -5.612700     56.37988             35
+#> 9506  VR2AR-546131     -5.612700     56.37988             35
+#> 9507  VR2AR-546131     -5.612700     56.37988             35
+#> 9508  VR2AR-546131     -5.612700     56.37988             35
+#> 9509  VR2AR-546131     -5.612700     56.37988             35
+#> 9510  VR2AR-546131     -5.612700     56.37988             35
+#> 9511  VR2AR-546131     -5.612700     56.37988             35
+#> 9512  VR2AR-546131     -5.612700     56.37988             35
+#> 9513  VR2AR-546131     -5.612700     56.37988             35
+#> 9514  VR2AR-546131     -5.612700     56.37988             35
+#> 9515  VR2AR-546131     -5.612700     56.37988             35
+#> 9516  VR2AR-546131     -5.612700     56.37988             35
+#> 9517  VR2AR-546131     -5.612700     56.37988             35
+#> 9518  VR2AR-546131     -5.612700     56.37988             35
+#> 9519  VR2AR-546131     -5.612700     56.37988             35
+#> 9520  VR2AR-546131     -5.612700     56.37988             35
+#> 9521  VR2AR-546131     -5.612700     56.37988             35
+#> 9522  VR2AR-546131     -5.612700     56.37988             35
+#> 9523  VR2AR-546131     -5.612700     56.37988             35
+#> 9524  VR2AR-546131     -5.612700     56.37988             35
+#> 9525  VR2AR-546131     -5.612700     56.37988             35
+#> 9526  VR2AR-546131     -5.612700     56.37988             35
+#> 9527  VR2AR-546131     -5.612700     56.37988             35
+#> 9528  VR2AR-546131     -5.612700     56.37988             35
+#> 9529  VR2AR-546131     -5.612700     56.37988             35
+#> 9530  VR2AR-546131     -5.612700     56.37988             35
+#> 9531  VR2AR-546131     -5.612700     56.37988             35
+#> 9532  VR2AR-546131     -5.612700     56.37988             35
+#> 9533  VR2AR-546131     -5.612700     56.37988             35
+#> 9534  VR2AR-546131     -5.612700     56.37988             35
+#> 9535  VR2AR-546131     -5.612700     56.37988             35
+#> 9536  VR2AR-546131     -5.612700     56.37988             35
+#> 9537  VR2AR-546131     -5.612700     56.37988             35
+#> 9538  VR2AR-546131     -5.612700     56.37988             35
+#> 9539  VR2AR-546131     -5.612700     56.37988             35
+#> 9540  VR2AR-546131     -5.612700     56.37988             35
+#> 9541  VR2AR-546131     -5.612700     56.37988             35
+#> 9542  VR2AR-546131     -5.612700     56.37988             35
+#> 9543  VR2AR-546131     -5.612700     56.37988             35
+#> 9544  VR2AR-546131     -5.612700     56.37988             35
+#> 9545  VR2AR-546131     -5.612700     56.37988             35
+#> 9546  VR2AR-546131     -5.612700     56.37988             35
+#> 9547  VR2AR-546131     -5.612700     56.37988             35
+#> 9548  VR2AR-546131     -5.612700     56.37988             35
+#> 9549  VR2AR-546131     -5.612700     56.37988             35
+#> 9550  VR2AR-546131     -5.612700     56.37988             35
+#> 9551  VR2AR-546131     -5.612700     56.37988             35
+#> 9552  VR2AR-546131     -5.612700     56.37988             35
+#> 9553  VR2AR-546131     -5.612700     56.37988             35
+#> 9554  VR2AR-546131     -5.612700     56.37988             35
+#> 9555  VR2AR-546131     -5.612700     56.37988             35
+#> 9556  VR2AR-546131     -5.612700     56.37988             35
+#> 9557  VR2AR-546131     -5.612700     56.37988             35
+#> 9558  VR2AR-546131     -5.612700     56.37988             35
+#> 9559  VR2AR-546131     -5.612700     56.37988             35
+#> 9560  VR2AR-546131     -5.612700     56.37988             35
+#> 9561  VR2AR-546131     -5.612700     56.37988             35
+#> 9562  VR2AR-546131     -5.612700     56.37988             35
+#> 9563  VR2AR-546131     -5.612700     56.37988             35
+#> 9564  VR2AR-546131     -5.612700     56.37988             35
+#> 9565  VR2AR-546131     -5.612700     56.37988             35
+#> 9566  VR2AR-546131     -5.612700     56.37988             35
+#> 9567  VR2AR-546131     -5.612700     56.37988             35
+#> 9568  VR2AR-546131     -5.612700     56.37988             35
+#> 9569  VR2AR-546131     -5.612700     56.37988             35
+#> 9570  VR2AR-546131     -5.612700     56.37988             35
+#> 9571  VR2AR-546131     -5.612700     56.37988             35
+#> 9572  VR2AR-546131     -5.612700     56.37988             35
+#> 9573  VR2AR-546131     -5.612700     56.37988             35
+#> 9574  VR2AR-546131     -5.612700     56.37988             35
+#> 9575  VR2AR-546131     -5.612700     56.37988             35
+#> 9576  VR2AR-546131     -5.612700     56.37988             35
+#> 9577  VR2AR-546131     -5.612700     56.37988             35
+#> 9578  VR2AR-546131     -5.612700     56.37988             35
+#> 9579  VR2AR-546131     -5.612700     56.37988             35
+#> 9580  VR2AR-546131     -5.612700     56.37988             35
+#> 9581  VR2AR-546131     -5.612700     56.37988             35
+#> 9582  VR2AR-546131     -5.612700     56.37988             35
+#> 9583  VR2AR-546131     -5.612700     56.37988             35
+#> 9584  VR2AR-546131     -5.612700     56.37988             35
+#> 9585  VR2AR-546131     -5.612700     56.37988             35
+#> 9586  VR2AR-546131     -5.612700     56.37988             35
+#> 9587  VR2AR-546131     -5.612700     56.37988             35
+#> 9588  VR2AR-546131     -5.612700     56.37988             35
+#> 9589  VR2AR-546131     -5.612700     56.37988             35
+#> 9590  VR2AR-546131     -5.612700     56.37988             35
+#> 9591  VR2AR-546131     -5.612700     56.37988             35
+#> 9592  VR2AR-546131     -5.612700     56.37988             35
+#> 9593  VR2AR-546131     -5.612700     56.37988             35
+#> 9594  VR2AR-546131     -5.612700     56.37988             35
+#> 9595  VR2AR-546131     -5.612700     56.37988             35
+#> 9596  VR2AR-546131     -5.612700     56.37988             35
+#> 9597  VR2AR-546131     -5.612700     56.37988             35
+#> 9598  VR2AR-546131     -5.612700     56.37988             35
+#> 9599  VR2AR-546131     -5.612700     56.37988             35
+#> 9600  VR2AR-546131     -5.612700     56.37988             35
+#> 9601  VR2AR-546131     -5.612700     56.37988             35
+#> 9602  VR2AR-546131     -5.612700     56.37988             35
+#> 9603  VR2AR-546131     -5.612700     56.37988             35
+#> 9604  VR2AR-546131     -5.612700     56.37988             35
+#> 9605  VR2AR-546131     -5.612700     56.37988             35
+#> 9606  VR2AR-546131     -5.612700     56.37988             35
+#> 9607  VR2AR-546131     -5.612700     56.37988             35
+#> 9608  VR2AR-546131     -5.612700     56.37988             35
+#> 9609  VR2AR-546131     -5.612700     56.37988             35
+#> 9610  VR2AR-546131     -5.612700     56.37988             35
+#> 9611  VR2AR-546131     -5.612700     56.37988             35
+#> 9612  VR2AR-546131     -5.612700     56.37988             35
+#> 9613  VR2AR-546131     -5.612700     56.37988             35
+#> 9614  VR2AR-546131     -5.612700     56.37988             35
+#> 9615  VR2AR-546131     -5.612700     56.37988             35
+#> 9616  VR2AR-546131     -5.612700     56.37988             35
+#> 9617  VR2AR-546131     -5.612700     56.37988             35
+#> 9618  VR2AR-546131     -5.612700     56.37988             35
+#> 9619  VR2AR-546131     -5.612700     56.37988             35
+#> 9620  VR2AR-546131     -5.612700     56.37988             35
+#> 9621  VR2AR-546131     -5.612700     56.37988             35
+#> 9622  VR2AR-546131     -5.612700     56.37988             35
+#> 9623  VR2AR-546131     -5.612700     56.37988             35
+#> 9624  VR2AR-546131     -5.612700     56.37988             35
+#> 9625  VR2AR-546131     -5.612700     56.37988             35
+#> 9626  VR2AR-546131     -5.612700     56.37988             35
+#> 9627  VR2AR-546131     -5.612700     56.37988             35
+#> 9628  VR2AR-546131     -5.612700     56.37988             35
+#> 9629  VR2AR-546131     -5.612700     56.37988             35
+#> 9630  VR2AR-546131     -5.612700     56.37988             35
+#> 9631  VR2AR-546131     -5.612700     56.37988             35
+#> 9632  VR2AR-546131     -5.612700     56.37988             35
+#> 9633  VR2AR-546131     -5.612700     56.37988             35
+#> 9634  VR2AR-546131     -5.612700     56.37988             35
+#> 9635  VR2AR-546131     -5.612700     56.37988             35
+#> 9636  VR2AR-546131     -5.612700     56.37988             35
+#> 9637  VR2AR-546131     -5.612700     56.37988             35
+#> 9638  VR2AR-546131     -5.612700     56.37988             35
+#> 9639  VR2AR-546131     -5.612700     56.37988             35
+#> 9640  VR2AR-546131     -5.612700     56.37988             35
+#> 9641  VR2AR-546131     -5.612700     56.37988             35
+#> 9642  VR2AR-546131     -5.612700     56.37988             35
+#> 9643  VR2AR-546131     -5.612700     56.37988             35
+#> 9644  VR2AR-546131     -5.612700     56.37988             35
+#> 9645  VR2AR-546131     -5.612700     56.37988             35
+#> 9646  VR2AR-546131     -5.612700     56.37988             35
+#> 9647  VR2AR-546131     -5.612700     56.37988             35
+#> 9648  VR2AR-546131     -5.612700     56.37988             35
+#> 9649  VR2AR-546131     -5.612700     56.37988             35
+#> 9650  VR2AR-546131     -5.612700     56.37988             35
+#> 9651  VR2AR-546131     -5.612700     56.37988             35
+#> 9652  VR2AR-546131     -5.612700     56.37988             35
+#> 9653  VR2AR-546131     -5.612700     56.37988             35
+#> 9654  VR2AR-546131     -5.612700     56.37988             35
+#> 9655  VR2AR-546131     -5.612700     56.37988             35
+#> 9656  VR2AR-546131     -5.612700     56.37988             35
+#> 9657  VR2AR-546131     -5.612700     56.37988             35
+#> 9658  VR2AR-546131     -5.612700     56.37988             35
+#> 9659  VR2AR-546131     -5.612700     56.37988             35
+#> 9660  VR2AR-546131     -5.612700     56.37988             35
+#> 9661  VR2AR-546131     -5.612700     56.37988             35
+#> 9662  VR2AR-546131     -5.612700     56.37988             35
+#> 9663  VR2AR-546131     -5.612700     56.37988             35
+#> 9664  VR2AR-546131     -5.612700     56.37988             35
+#> 9665  VR2AR-546131     -5.612700     56.37988             35
+#> 9666  VR2AR-546131     -5.612700     56.37988             35
+#> 9667  VR2AR-546131     -5.612700     56.37988             35
+#> 9668  VR2AR-546131     -5.612700     56.37988             35
+#> 9669  VR2AR-546131     -5.612700     56.37988             35
+#> 9670  VR2AR-546131     -5.612700     56.37988             35
+#> 9671  VR2AR-546131     -5.612700     56.37988             35
+#> 9672  VR2AR-546131     -5.612700     56.37988             35
+#> 9673  VR2AR-546131     -5.612700     56.37988             35
+#> 9674  VR2AR-546131     -5.612700     56.37988             35
+#> 9675  VR2AR-546131     -5.612700     56.37988             35
+#> 9676  VR2AR-546131     -5.612700     56.37988             35
+#> 9677  VR2AR-546131     -5.612700     56.37988             35
+#> 9678  VR2AR-546131     -5.612700     56.37988             35
+#> 9679  VR2AR-546131     -5.612700     56.37988             35
+#> 9680  VR2AR-546131     -5.612700     56.37988             35
+#> 9681  VR2AR-546131     -5.612700     56.37988             35
+#> 9682  VR2AR-546131     -5.612700     56.37988             35
+#> 9683  VR2AR-546131     -5.612700     56.37988             35
+#> 9684  VR2AR-546131     -5.612700     56.37988             35
+#> 9685  VR2AR-546131     -5.612700     56.37988             35
+#> 9686  VR2AR-546131     -5.612700     56.37988             35
+#> 9687  VR2AR-546131     -5.612700     56.37988             35
+#> 9688  VR2AR-546131     -5.612700     56.37988             35
+#> 9689  VR2AR-546584     -5.604973     56.37774             30
+#> 9690  VR2AR-546131     -5.612700     56.37988             35
+#> 9691  VR2AR-546584     -5.604973     56.37774             30
+#> 9692  VR2AR-546131     -5.612700     56.37988             35
+#> 9693  VR2AR-546131     -5.612700     56.37988             35
+#> 9694  VR2AR-546584     -5.604973     56.37774             30
+#> 9695  VR2AR-546131     -5.612700     56.37988             35
+#> 9696  VR2AR-546584     -5.604973     56.37774             30
+#> 9697  VR2AR-546131     -5.612700     56.37988             35
+#> 9698  VR2AR-546131     -5.612700     56.37988             35
+#> 9699  VR2AR-546584     -5.604973     56.37774             30
+#> 9700  VR2AR-546131     -5.612700     56.37988             35
+#> 9701  VR2AR-546584     -5.604973     56.37774             30
+#> 9702  VR2AR-546584     -5.604973     56.37774             30
+#> 9703  VR2AR-546131     -5.612700     56.37988             35
+#> 9704  VR2AR-546584     -5.604973     56.37774             30
+#> 9705  VR2AR-546584     -5.604973     56.37774             30
+#> 9706  VR2AR-546584     -5.604973     56.37774             30
+#> 9707  VR2AR-546131     -5.612700     56.37988             35
+#> 9708  VR2AR-546131     -5.612700     56.37988             35
+#> 9709  VR2AR-546584     -5.604973     56.37774             30
+#> 9710  VR2AR-546584     -5.604973     56.37774             30
+#> 9711  VR2AR-546131     -5.612700     56.37988             35
+#> 9712  VR2AR-546584     -5.604973     56.37774             30
+#> 9713  VR2AR-546584     -5.604973     56.37774             30
+#> 9714  VR2AR-546584     -5.604973     56.37774             30
+#> 9715  VR2AR-546584     -5.604973     56.37774             30
+#> 9716  VR2AR-546584     -5.604973     56.37774             30
+#> 9717  VR2AR-546584     -5.604973     56.37774             30
+#> 9718  VR2AR-546131     -5.612700     56.37988             35
+#> 9719  VR2AR-546584     -5.604973     56.37774             30
+#> 9720  VR2AR-546584     -5.604973     56.37774             30
+#> 9721  VR2AR-546131     -5.612700     56.37988             35
+#> 9722  VR2AR-546584     -5.604973     56.37774             30
+#> 9723  VR2AR-546131     -5.612700     56.37988             35
+#> 9724  VR2AR-546131     -5.612700     56.37988             35
+#> 9725  VR2AR-546131     -5.612700     56.37988             35
+#> 9726  VR2AR-546131     -5.612700     56.37988             35
+#> 9727  VR2AR-546131     -5.612700     56.37988             35
+#> 9728  VR2AR-546131     -5.612700     56.37988             35
+#> 9729  VR2AR-546131     -5.612700     56.37988             35
+#> 9730  VR2AR-546584     -5.604973     56.37774             30
+#> 9731  VR2AR-546131     -5.612700     56.37988             35
+#> 9732  VR2AR-546584     -5.604973     56.37774             30
+#> 9733  VR2AR-546131     -5.612700     56.37988             35
+#> 9734  VR2AR-546131     -5.612700     56.37988             35
+#> 9735  VR2AR-546131     -5.612700     56.37988             35
+#> 9736  VR2AR-546131     -5.612700     56.37988             35
+#> 9737  VR2AR-546131     -5.612700     56.37988             35
+#> 9738  VR2AR-546131     -5.612700     56.37988             35
+#> 9739  VR2AR-546131     -5.612700     56.37988             35
+#> 9740  VR2AR-546131     -5.612700     56.37988             35
+#> 9741  VR2AR-546131     -5.612700     56.37988             35
+#> 9742  VR2AR-546131     -5.612700     56.37988             35
+#> 9743  VR2AR-546131     -5.612700     56.37988             35
+#> 9744  VR2AR-546131     -5.612700     56.37988             35
+#> 9745  VR2AR-546131     -5.612700     56.37988             35
+#> 9746  VR2AR-546131     -5.612700     56.37988             35
+#> 9747  VR2AR-546131     -5.612700     56.37988             35
+#> 9748  VR2AR-546131     -5.612700     56.37988             35
+#> 9749  VR2AR-546131     -5.612700     56.37988             35
+#> 9750  VR2AR-546380     -5.637917     56.44800             25
+#> 9751  VR2AR-546380     -5.637917     56.44800             25
+#> 9752  VR2AR-546380     -5.637917     56.44800             25
+#> 9753  VR2AR-546136     -5.626250     56.44810             75
+#> 9754  VR2AR-546136     -5.626250     56.44810             75
+#> 9755  VR2AR-546380     -5.637917     56.44800             25
+#> 9756  VR2AR-546380     -5.637917     56.44800             25
+#> 9757  VR2AR-546380     -5.637917     56.44800             25
+#> 9758  VR2AR-546380     -5.637917     56.44800             25
+#> 9759  VR2AR-546380     -5.637917     56.44800             25
+#> 9760  VR2AR-546380     -5.637917     56.44800             25
+#> 9761  VR2AR-546380     -5.637917     56.44800             25
+#> 9762  VR2AR-546380     -5.637917     56.44800             25
+#> 9763  VR2AR-546380     -5.637917     56.44800             25
+#> 9764  VR2AR-546380     -5.637917     56.44800             25
+#> 9765  VR2AR-546380     -5.637917     56.44800             25
+#> 9766  VR2AR-546380     -5.637917     56.44800             25
+#> 9767  VR2AR-546380     -5.637917     56.44800             25
+#> 9768  VR2AR-546380     -5.637917     56.44800             25
+#> 9769  VR2AR-546380     -5.637917     56.44800             25
+#> 9770  VR2AR-546380     -5.637917     56.44800             25
+#> 9771  VR2AR-546380     -5.637917     56.44800             25
+#> 9772  VR2AR-546380     -5.637917     56.44800             25
+#> 9773  VR2AR-546380     -5.637917     56.44800             25
+#> 9774  VR2AR-546380     -5.637917     56.44800             25
+#> 9775  VR2AR-546380     -5.637917     56.44800             25
+#> 9776  VR2AR-546380     -5.637917     56.44800             25
+#> 9777  VR2AR-546134     -5.643867     56.38278            145
+#> 9778  VR2AR-546134     -5.643867     56.38278            145
+#> 9779  VR2AR-546134     -5.643867     56.38278            145
+#> 9780  VR2AR-546134     -5.643867     56.38278            145
+#> 9781  VR2AR-546134     -5.643867     56.38278            145
+#> 9782  VR2AR-546134     -5.643867     56.38278            145
+#> 9783  VR2AR-546134     -5.643867     56.38278            145
+#> 9784  VR2AR-546134     -5.643867     56.38278            145
+#> 9785  VR2AR-546134     -5.643867     56.38278            145
+#> 9786  VR2AR-546134     -5.643867     56.38278            145
+#> 9787  VR2AR-546134     -5.643867     56.38278            145
+#> 9788  VR2AR-546134     -5.643867     56.38278            145
+#> 9789  VR2AR-546134     -5.643867     56.38278            145
+#> 9790  VR2AR-546134     -5.643867     56.38278            145
+#> 9791  VR2AR-546131     -5.612700     56.37988             35
+#> 9792  VR2AR-546131     -5.612700     56.37988             35
+#> 9793  VR2AR-546131     -5.612700     56.37988             35
+#> 9794  VR2AR-546131     -5.612700     56.37988             35
+#> 9795  VR2AR-546131     -5.612700     56.37988             35
+#> 9796  VR2AR-546131     -5.612700     56.37988             35
+#> 9797  VR2AR-546131     -5.612700     56.37988             35
+#> 9798  VR2AR-546131     -5.612700     56.37988             35
+#> 9799  VR2AR-546131     -5.612700     56.37988             35
+#> 9800  VR2AR-546131     -5.612700     56.37988             35
+#> 9801  VR2AR-546131     -5.612700     56.37988             35
+#> 9802  VR2AR-546131     -5.612700     56.37988             35
+#> 9803  VR2AR-546131     -5.612700     56.37988             35
+#> 9804  VR2AR-546131     -5.612700     56.37988             35
+#> 9805  VR2AR-546131     -5.612700     56.37988             35
+#> 9806  VR2AR-546131     -5.612700     56.37988             35
+#> 9807  VR2AR-546131     -5.612700     56.37988             35
+#> 9808  VR2AR-546131     -5.612700     56.37988             35
+#> 9809  VR2AR-546131     -5.612700     56.37988             35
+#> 9810  VR2AR-546131     -5.612700     56.37988             35
+#> 9811  VR2AR-546131     -5.612700     56.37988             35
+#> 9812  VR2AR-546131     -5.612700     56.37988             35
+#> 9813  VR2AR-546131     -5.612700     56.37988             35
+#> 9814  VR2AR-546131     -5.612700     56.37988             35
+#> 9815  VR2AR-546131     -5.612700     56.37988             35
+#> 9816  VR2AR-546131     -5.612700     56.37988             35
+#> 9817  VR2AR-546131     -5.612700     56.37988             35
+#> 9818  VR2AR-546131     -5.612700     56.37988             35
+#> 9819  VR2AR-546131     -5.612700     56.37988             35
+#> 9820  VR2AR-546131     -5.612700     56.37988             35
+#> 9821  VR2AR-546131     -5.612700     56.37988             35
+#> 9822  VR2AR-546131     -5.612700     56.37988             35
+#> 9823  VR2AR-546131     -5.612700     56.37988             35
+#> 9824  VR2AR-546131     -5.612700     56.37988             35
+#> 9825  VR2AR-546131     -5.612700     56.37988             35
+#> 9826  VR2AR-546131     -5.612700     56.37988             35
+#> 9827  VR2AR-546131     -5.612700     56.37988             35
+#> 9828  VR2AR-546131     -5.612700     56.37988             35
+#> 9829  VR2AR-546131     -5.612700     56.37988             35
+#> 9830  VR2AR-546131     -5.612700     56.37988             35
+#> 9831  VR2AR-546131     -5.612700     56.37988             35
+#> 9832  VR2AR-546131     -5.612700     56.37988             35
+#> 9833  VR2AR-546131     -5.612700     56.37988             35
+#> 9834  VR2AR-546131     -5.612700     56.37988             35
+#> 9835  VR2AR-546131     -5.612700     56.37988             35
+#> 9836  VR2AR-546131     -5.612700     56.37988             35
+#> 9837  VR2AR-546131     -5.612700     56.37988             35
+#> 9838  VR2AR-546131     -5.612700     56.37988             35
+#> 9839  VR2AR-546131     -5.612700     56.37988             35
+#> 9840  VR2AR-546131     -5.612700     56.37988             35
+#> 9841  VR2AR-546131     -5.612700     56.37988             35
+#> 9842  VR2AR-546131     -5.612700     56.37988             35
+#> 9843  VR2AR-546131     -5.612700     56.37988             35
+#> 9844  VR2AR-546131     -5.612700     56.37988             35
+#> 9845  VR2AR-546131     -5.612700     56.37988             35
+#> 9846  VR2AR-546131     -5.612700     56.37988             35
+#> 9847  VR2AR-546131     -5.612700     56.37988             35
+#> 9848  VR2AR-546131     -5.612700     56.37988             35
+#> 9849  VR2AR-546131     -5.612700     56.37988             35
+#> 9850  VR2AR-546131     -5.612700     56.37988             35
+#> 9851  VR2AR-546131     -5.612700     56.37988             35
+#> 9852  VR2AR-546131     -5.612700     56.37988             35
+#> 9853  VR2AR-546131     -5.612700     56.37988             35
+#> 9854  VR2AR-546131     -5.612700     56.37988             35
+#> 9855  VR2AR-546131     -5.612700     56.37988             35
+#> 9856  VR2AR-546131     -5.612700     56.37988             35
+#> 9857  VR2AR-546131     -5.612700     56.37988             35
+#> 9858  VR2AR-546131     -5.612700     56.37988             35
+#> 9859  VR2AR-546131     -5.612700     56.37988             35
+#> 9860  VR2AR-546131     -5.612700     56.37988             35
+#> 9861  VR2AR-546131     -5.612700     56.37988             35
+#> 9862  VR2AR-546131     -5.612700     56.37988             35
+#> 9863  VR2AR-546131     -5.612700     56.37988             35
+#> 9864  VR2AR-546131     -5.612700     56.37988             35
+#> 9865  VR2AR-546131     -5.612700     56.37988             35
+#> 9866  VR2AR-546131     -5.612700     56.37988             35
+#> 9867  VR2AR-546131     -5.612700     56.37988             35
+#> 9868  VR2AR-546131     -5.612700     56.37988             35
+#> 9869  VR2AR-546131     -5.612700     56.37988             35
+#> 9870  VR2AR-546131     -5.612700     56.37988             35
+#> 9871  VR2AR-546131     -5.612700     56.37988             35
+#> 9872  VR2AR-546131     -5.612700     56.37988             35
+#> 9873  VR2AR-546131     -5.612700     56.37988             35
+#> 9874  VR2AR-546131     -5.612700     56.37988             35
+#> 9875  VR2AR-546131     -5.612700     56.37988             35
+#> 9876  VR2AR-546131     -5.612700     56.37988             35
+#> 9877  VR2AR-546131     -5.612700     56.37988             35
+#> 9878  VR2AR-546131     -5.612700     56.37988             35
+#> 9879  VR2AR-546131     -5.612700     56.37988             35
+#> 9880  VR2AR-546131     -5.612700     56.37988             35
+#> 9881  VR2AR-546131     -5.612700     56.37988             35
+#> 9882  VR2AR-546131     -5.612700     56.37988             35
+#> 9883  VR2AR-546131     -5.612700     56.37988             35
+#> 9884  VR2AR-546131     -5.612700     56.37988             35
+#> 9885  VR2AR-546131     -5.612700     56.37988             35
+#> 9886  VR2AR-546131     -5.612700     56.37988             35
+#> 9887  VR2AR-546131     -5.612700     56.37988             35
+#> 9888  VR2AR-546131     -5.612700     56.37988             35
+#> 9889  VR2AR-546131     -5.612700     56.37988             35
+#> 9890  VR2AR-546131     -5.612700     56.37988             35
+#> 9891  VR2AR-546131     -5.612700     56.37988             35
+#> 9892  VR2AR-546131     -5.612700     56.37988             35
+#> 9893  VR2AR-546131     -5.612700     56.37988             35
+#> 9894  VR2AR-546584     -5.604973     56.37774             30
+#> 9895  VR2AR-546131     -5.612700     56.37988             35
+#> 9896  VR2AR-546131     -5.612700     56.37988             35
+#> 9897  VR2AR-546131     -5.612700     56.37988             35
+#> 9898  VR2AR-546131     -5.612700     56.37988             35
+#> 9899  VR2AR-546131     -5.612700     56.37988             35
+#> 9900  VR2AR-546131     -5.612700     56.37988             35
+#> 9901  VR2AR-546131     -5.612700     56.37988             35
+#> 9902  VR2AR-546584     -5.604973     56.37774             30
+#> 9903  VR2AR-546131     -5.612700     56.37988             35
+#> 9904  VR2AR-546131     -5.612700     56.37988             35
+#> 9905  VR2AR-546584     -5.604973     56.37774             30
+#> 9906  VR2AR-546131     -5.612700     56.37988             35
+#> 9907  VR2AR-546131     -5.612700     56.37988             35
+#> 9908  VR2AR-546131     -5.612700     56.37988             35
+#> 9909  VR2AR-546584     -5.604973     56.37774             30
+#> 9910  VR2AR-546131     -5.612700     56.37988             35
+#> 9911  VR2AR-546131     -5.612700     56.37988             35
+#> 9912  VR2AR-546584     -5.604973     56.37774             30
+#> 9913  VR2AR-546584     -5.604973     56.37774             30
+#> 9914  VR2AR-546131     -5.612700     56.37988             35
+#> 9915  VR2AR-546584     -5.604973     56.37774             30
+#> 9916  VR2AR-546131     -5.612700     56.37988             35
+#> 9917  VR2AR-546131     -5.612700     56.37988             35
+#> 9918  VR2AR-546131     -5.612700     56.37988             35
+#> 9919  VR2AR-546131     -5.612700     56.37988             35
+#> 9920  VR2AR-546131     -5.612700     56.37988             35
+#> 9921  VR2AR-546131     -5.612700     56.37988             35
+#> 9922  VR2AR-546131     -5.612700     56.37988             35
+#> 9923  VR2AR-546134     -5.643867     56.38278            145
+#> 9924  VR2AR-546134     -5.643867     56.38278            145
+#> 9925  VR2AR-546134     -5.643867     56.38278            145
+#> 9926  VR2AR-546134     -5.643867     56.38278            145
+#> 9927  VR2AR-546134     -5.643867     56.38278            145
+#> 9928  VR2AR-546134     -5.643867     56.38278            145
+#> 9929  VR2AR-546134     -5.643867     56.38278            145
+#> 9930  VR2AR-546134     -5.643867     56.38278            145
+#> 9931  VR2AR-546134     -5.643867     56.38278            145
+#> 9932  VR2AR-546134     -5.643867     56.38278            145
+#> 9933  VR2AR-546134     -5.643867     56.38278            145
+#> 9934  VR2AR-546134     -5.643867     56.38278            145
+#> 9935  VR2AR-546134     -5.643867     56.38278            145
+#> 9936  VR2AR-546134     -5.643867     56.38278            145
+#> 9937  VR2AR-546135     -5.657067     56.38803             85
+#> 9938  VR2AR-546135     -5.657067     56.38803             85
+#> 9939  VR2AR-546135     -5.657067     56.38803             85
+#> 9940  VR2AR-546135     -5.657067     56.38803             85
+#> 9941  VR2AR-546587     -5.661620     56.39041             15
+#> 9942  VR2AR-546135     -5.657067     56.38803             85
+#> 9943  VR2AR-546587     -5.661620     56.39041             15
+#> 9944  VR2AR-546135     -5.657067     56.38803             85
+#> 9945  VR2AR-546587     -5.661620     56.39041             15
+#> 9946  VR2AR-546587     -5.661620     56.39041             15
+#> 9947  VR2AR-546587     -5.661620     56.39041             15
+#> 9948  VR2AR-546587     -5.661620     56.39041             15
+#> 9949  VR2AR-546587     -5.661620     56.39041             15
+#> 9950  VR2AR-546587     -5.661620     56.39041             15
+#> 9951  VR2AR-546587     -5.661620     56.39041             15
+#> 9952  VR2AR-546587     -5.661620     56.39041             15
+#> 9953  VR2AR-546587     -5.661620     56.39041             15
+#> 9954  VR2AR-546587     -5.661620     56.39041             15
+#> 9955  VR2AR-546587     -5.661620     56.39041             15
+#> 9956  VR2AR-546587     -5.661620     56.39041             15
+#> 9957  VR2AR-546135     -5.657067     56.38803             85
+#> 9958  VR2AR-546587     -5.661620     56.39041             15
+#> 9959  VR2AR-546587     -5.661620     56.39041             15
+#> 9960  VR2AR-546587     -5.661620     56.39041             15
+#> 9961  VR2AR-546587     -5.661620     56.39041             15
+#> 9962  VR2AR-546135     -5.657067     56.38803             85
+#> 9963  VR2AR-546587     -5.661620     56.39041             15
+#> 9964  VR2AR-546587     -5.661620     56.39041             15
+#> 9965  VR2AR-546135     -5.657067     56.38803             85
+#> 9966  VR2AR-546587     -5.661620     56.39041             15
+#> 9967  VR2AR-546131     -5.612700     56.37988             35
+#> 9968  VR2AR-546131     -5.612700     56.37988             35
+#> 9969  VR2AR-546131     -5.612700     56.37988             35
+#> 9970  VR2AR-546131     -5.612700     56.37988             35
+#> 9971  VR2AR-546131     -5.612700     56.37988             35
+#> 9972  VR2AR-546131     -5.612700     56.37988             35
+#> 9973  VR2AR-546131     -5.612700     56.37988             35
+#> 9974  VR2AR-546131     -5.612700     56.37988             35
+#> 9975  VR2AR-546131     -5.612700     56.37988             35
+#> 9976  VR2AR-546131     -5.612700     56.37988             35
+#> 9977  VR2AR-546131     -5.612700     56.37988             35
+#> 9978  VR2AR-546131     -5.612700     56.37988             35
+#> 9979  VR2AR-546131     -5.612700     56.37988             35
+#> 9980  VR2AR-546131     -5.612700     56.37988             35
+#> 9981  VR2AR-546131     -5.612700     56.37988             35
+#> 9982  VR2AR-546131     -5.612700     56.37988             35
+#> 9983  VR2AR-546131     -5.612700     56.37988             35
+#> 9984  VR2AR-546131     -5.612700     56.37988             35
+#> 9985  VR2AR-546131     -5.612700     56.37988             35
+#> 9986  VR2AR-546131     -5.612700     56.37988             35
+#> 9987  VR2AR-546131     -5.612700     56.37988             35
+#> 9988  VR2AR-546131     -5.612700     56.37988             35
+#> 9989  VR2AR-546131     -5.612700     56.37988             35
+#> 9990  VR2AR-546131     -5.612700     56.37988             35
+#> 9991  VR2AR-546131     -5.612700     56.37988             35
+#> 9992  VR2AR-546131     -5.612700     56.37988             35
+#> 9993  VR2AR-546131     -5.612700     56.37988             35
+#> 9994  VR2AR-546131     -5.612700     56.37988             35
+#> 9995  VR2AR-546131     -5.612700     56.37988             35
+#> 9996  VR2AR-546131     -5.612700     56.37988             35
+#> 9997  VR2AR-546131     -5.612700     56.37988             35
+#> 9998  VR2AR-546131     -5.612700     56.37988             35
+#> 9999  VR2AR-546131     -5.612700     56.37988             35
+#> 10000 VR2AR-546131     -5.612700     56.37988             35
+#> 10001 VR2AR-546131     -5.612700     56.37988             35
+#> 10002 VR2AR-546131     -5.612700     56.37988             35
+#> 10003 VR2AR-546131     -5.612700     56.37988             35
+#> 10004 VR2AR-546131     -5.612700     56.37988             35
+#> 10005 VR2AR-546131     -5.612700     56.37988             35
+#> 10006 VR2AR-546131     -5.612700     56.37988             35
+#> 10007 VR2AR-546131     -5.612700     56.37988             35
+#> 10008 VR2AR-546131     -5.612700     56.37988             35
+#> 10009 VR2AR-546131     -5.612700     56.37988             35
+#> 10010 VR2AR-546131     -5.612700     56.37988             35
+#> 10011 VR2AR-546131     -5.612700     56.37988             35
+#> 10012 VR2AR-546131     -5.612700     56.37988             35
+#> 10013 VR2AR-546131     -5.612700     56.37988             35
+#> 10014 VR2AR-546131     -5.612700     56.37988             35
+#> 10015 VR2AR-546131     -5.612700     56.37988             35
+#> 10016 VR2AR-546131     -5.612700     56.37988             35
+#> 10017 VR2AR-546131     -5.612700     56.37988             35
+#> 10018 VR2AR-546131     -5.612700     56.37988             35
+#> 10019 VR2AR-546131     -5.612700     56.37988             35
+#> 10020 VR2AR-546131     -5.612700     56.37988             35
+#> 10021 VR2AR-546131     -5.612700     56.37988             35
+#> 10022 VR2AR-546131     -5.612700     56.37988             35
+#> 10023 VR2AR-546131     -5.612700     56.37988             35
+#> 10024 VR2AR-546131     -5.612700     56.37988             35
+#> 10025 VR2AR-546131     -5.612700     56.37988             35
+#> 10026 VR2AR-546131     -5.612700     56.37988             35
+#> 10027 VR2AR-546131     -5.612700     56.37988             35
+#> 10028 VR2AR-546380     -5.637917     56.44800             25
+#> 10029 VR2AR-546380     -5.637917     56.44800             25
+#> 10030 VR2AR-546380     -5.637917     56.44800             25
+#> 10031 VR2AR-546380     -5.637917     56.44800             25
+#> 10032 VR2AR-546380     -5.637917     56.44800             25
+#> 10033 VR2AR-546380     -5.637917     56.44800             25
+#> 10034 VR2AR-546380     -5.637917     56.44800             25
+#> 10035 VR2AR-546380     -5.637917     56.44800             25
+#> 10036 VR2AR-546136     -5.626250     56.44810             75
+#> 10037 VR2AR-546136     -5.626250     56.44810             75
+#> 10038 VR2AR-546136     -5.626250     56.44810             75
+#> 10039 VR2AR-546136     -5.626250     56.44810             75
+#> 10040 VR2AR-546136     -5.626250     56.44810             75
+#> 10041 VR2AR-546136     -5.626250     56.44810             75
+#> 10042 VR2AR-546133     -5.701717     56.49747             90
+#> 10043 VR2AR-546133     -5.701717     56.49747             90
+#> 10044 VR2AR-546133     -5.701717     56.49747             90
+#> 10045 VR2AR-546133     -5.701717     56.49747             90
+#> 10046 VR2AR-546133     -5.701717     56.49747             90
+#> 10047 VR2AR-546133     -5.701717     56.49747             90
+#> 10048 VR2AR-546133     -5.701717     56.49747             90
+#> 10049 VR2AR-546133     -5.701717     56.49747             90
+#> 10050 VR2AR-546133     -5.701717     56.49747             90
+#> 10051 VR2AR-546133     -5.701717     56.49747             90
+#> 10052 VR2AR-546133     -5.701717     56.49747             90
+#> 10053 VR2AR-546133     -5.701717     56.49747             90
+#> 10054 VR2AR-546133     -5.701717     56.49747             90
+#> 10055 VR2AR-546133     -5.701717     56.49747             90
+#> 10056 VR2AR-546133     -5.701717     56.49747             90
+#> 10057 VR2AR-546133     -5.701717     56.49747             90
+#> 10058 VR2AR-546133     -5.701717     56.49747             90
+#> 10059 VR2AR-546133     -5.701717     56.49747             90
+#> 10060 VR2AR-546133     -5.701717     56.49747             90
+#> 10061 VR2AR-546133     -5.701717     56.49747             90
+#> 10062 VR2AR-546133     -5.701717     56.49747             90
+#> 10063 VR2AR-546133     -5.701717     56.49747             90
+#> 10064 VR2AR-546133     -5.701717     56.49747             90
+#> 10065 VR2AR-546133     -5.701717     56.49747             90
+#> 10066 VR2AR-546133     -5.701717     56.49747             90
+#> 10067 VR2AR-546133     -5.701717     56.49747             90
+#> 10068 VR2AR-546133     -5.701717     56.49747             90
+#> 10069 VR2AR-546133     -5.701717     56.49747             90
+#> 10070 VR2AR-546133     -5.701717     56.49747             90
+#> 10071 VR2AR-546133     -5.701717     56.49747             90
+#> 10072 VR2AR-546133     -5.701717     56.49747             90
+#> 10073 VR2AR-546133     -5.701717     56.49747             90
+#> 10074 VR2AR-546133     -5.701717     56.49747             90
+#> 10075 VR2AR-546133     -5.701717     56.49747             90
+#> 10076 VR2AR-546133     -5.701717     56.49747             90
+#> 10077 VR2AR-546133     -5.701717     56.49747             90
+#> 10078 VR2AR-546133     -5.701717     56.49747             90
+#> 10079 VR2AR-546133     -5.701717     56.49747             90
+#> 10080 VR2AR-546133     -5.701717     56.49747             90
+#> 10081 VR2AR-546133     -5.701717     56.49747             90
+#> 10082 VR2AR-546133     -5.701717     56.49747             90
+#> 10083 VR2AR-546133     -5.701717     56.49747             90
+#> 10084 VR2AR-546133     -5.701717     56.49747             90
+#> 10085 VR2AR-546133     -5.701717     56.49747             90
+#> 10086 VR2AR-546133     -5.701717     56.49747             90
+#> 10087 VR2AR-546133     -5.701717     56.49747             90
+#> 10088 VR2AR-546133     -5.701717     56.49747             90
+#> 10089 VR2AR-546133     -5.701717     56.49747             90
+#> 10090 VR2AR-546586     -5.707092     56.49447             20
+#> 10091 VR2AR-546133     -5.701717     56.49747             90
+#> 10092 VR2AR-546133     -5.701717     56.49747             90
+#> 10093 VR2AR-546586     -5.707092     56.49447             20
+#> 10094 VR2AR-546133     -5.701717     56.49747             90
+#> 10095 VR2AR-546133     -5.701717     56.49747             90
+#> 10096 VR2AR-546133     -5.701717     56.49747             90
+#> 10097 VR2AR-546586     -5.707092     56.49447             20
+#> 10098 VR2AR-546133     -5.701717     56.49747             90
+#> 10099 VR2AR-546133     -5.701717     56.49747             90
+#> 10100 VR2AR-546133     -5.701717     56.49747             90
+#> 10101 VR2AR-546586     -5.707092     56.49447             20
+#> 10102 VR2AR-546586     -5.707092     56.49447             20
+#> 10103 VR2AR-546133     -5.701717     56.49747             90
+#> 10104 VR2AR-546586     -5.707092     56.49447             20
+#> 10105 VR2AR-546133     -5.701717     56.49747             90
+#> 10106 VR2AR-546133     -5.701717     56.49747             90
+#> 10107 VR2AR-546586     -5.707092     56.49447             20
+#> 10108 VR2AR-546133     -5.701717     56.49747             90
+#> 10109 VR2AR-546586     -5.707092     56.49447             20
+#> 10110 VR2AR-546586     -5.707092     56.49447             20
+#> 10111 VR2AR-546586     -5.707092     56.49447             20
+#> 10112 VR2AR-546133     -5.701717     56.49747             90
+#> 10113 VR2AR-546586     -5.707092     56.49447             20
+#> 10114 VR2AR-546586     -5.707092     56.49447             20
+#> 10115 VR2AR-546133     -5.701717     56.49747             90
+#> 10116 VR2AR-546586     -5.707092     56.49447             20
+#> 10117 VR2AR-546586     -5.707092     56.49447             20
+#> 10118 VR2AR-546133     -5.701717     56.49747             90
+#> 10119 VR2AR-546133     -5.701717     56.49747             90
+#> 10120 VR2AR-546586     -5.707092     56.49447             20
+#> 10121 VR2AR-546586     -5.707092     56.49447             20
+#> 10122 VR2AR-546133     -5.701717     56.49747             90
+#> 10123 VR2AR-546586     -5.707092     56.49447             20
+#> 10124 VR2AR-546586     -5.707092     56.49447             20
+#> 10125 VR2AR-546586     -5.707092     56.49447             20
+#> 10126 VR2AR-546586     -5.707092     56.49447             20
+#> 10127 VR2AR-546586     -5.707092     56.49447             20
+#> 10128 VR2AR-546586     -5.707092     56.49447             20
+#> 10129 VR2AR-546586     -5.707092     56.49447             20
+#> 10130 VR2AR-546586     -5.707092     56.49447             20
+#> 10131 VR2AR-546586     -5.707092     56.49447             20
+#> 10132 VR2AR-546586     -5.707092     56.49447             20
+#> 10133 VR2AR-546133     -5.701717     56.49747             90
+#> 10134 VR2AR-546586     -5.707092     56.49447             20
+#> 10135 VR2AR-546133     -5.701717     56.49747             90
+#> 10136 VR2AR-546133     -5.701717     56.49747             90
+#> 10137 VR2AR-546133     -5.701717     56.49747             90
+#> 10138 VR2AR-546133     -5.701717     56.49747             90
+#> 10139 VR2AR-546133     -5.701717     56.49747             90
+#> 10140 VR2AR-546133     -5.701717     56.49747             90
+#> 10141 VR2AR-546133     -5.701717     56.49747             90
+#> 10142 VR2AR-546133     -5.701717     56.49747             90
+#> 10143 VR2AR-546133     -5.701717     56.49747             90
+#> 10144 VR2AR-546133     -5.701717     56.49747             90
+#> 10145 VR2AR-546133     -5.701717     56.49747             90
+#> 10146 VR2AR-546133     -5.701717     56.49747             90
+#> 10147 VR2AR-546133     -5.701717     56.49747             90
+#> 10148 VR2AR-546133     -5.701717     56.49747             90
+#> 10149 VR2AR-546133     -5.701717     56.49747             90
+#> 10150 VR2AR-546133     -5.701717     56.49747             90
+#> 10151 VR2AR-546133     -5.701717     56.49747             90
+#> 10152 VR2AR-546133     -5.701717     56.49747             90
+#> 10153 VR2AR-546133     -5.701717     56.49747             90
+#> 10154 VR2AR-546133     -5.701717     56.49747             90
+#> 10155 VR2AR-546133     -5.701717     56.49747             90
+#> 10156 VR2AR-546586     -5.707092     56.49447             20
+#> 10157 VR2AR-546133     -5.701717     56.49747             90
+#> 10158 VR2AR-546133     -5.701717     56.49747             90
+#> 10159 VR2AR-546133     -5.701717     56.49747             90
+#> 10160 VR2AR-546133     -5.701717     56.49747             90
+#> 10161 VR2AR-546586     -5.707092     56.49447             20
+#> 10162 VR2AR-546586     -5.707092     56.49447             20
+#> 10163 VR2AR-546133     -5.701717     56.49747             90
+#> 10164 VR2AR-546586     -5.707092     56.49447             20
+#> 10165 VR2AR-546133     -5.701717     56.49747             90
+#> 10166 VR2AR-546133     -5.701717     56.49747             90
+#> 10167 VR2AR-546133     -5.701717     56.49747             90
+#> 10168 VR2AR-546586     -5.707092     56.49447             20
+#> 10169 VR2AR-546133     -5.701717     56.49747             90
+#> 10170 VR2AR-546133     -5.701717     56.49747             90
+#> 10171 VR2AR-546133     -5.701717     56.49747             90
+#> 10172 VR2AR-546133     -5.701717     56.49747             90
+#> 10173 VR2AR-546133     -5.701717     56.49747             90
+#> 10174 VR2AR-546133     -5.701717     56.49747             90
+#> 10175 VR2AR-546133     -5.701717     56.49747             90
+#> 10176 VR2AR-546133     -5.701717     56.49747             90
+#> 10177 VR2AR-546133     -5.701717     56.49747             90
+#> 10178 VR2AR-546133     -5.701717     56.49747             90
+#> 10179 VR2AR-546133     -5.701717     56.49747             90
+#> 10180 VR2AR-546133     -5.701717     56.49747             90
+#> 10181 VR2AR-546133     -5.701717     56.49747             90
+#> 10182 VR2AR-546133     -5.701717     56.49747             90
+#> 10183 VR2AR-546133     -5.701717     56.49747             90
+#> 10184 VR2AR-546133     -5.701717     56.49747             90
+#> 10185 VR2AR-546133     -5.701717     56.49747             90
+#> 10186 VR2AR-546133     -5.701717     56.49747             90
+#> 10187 VR2AR-546133     -5.701717     56.49747             90
+#> 10188 VR2AR-546133     -5.701717     56.49747             90
+#> 10189 VR2AR-546133     -5.701717     56.49747             90
+#> 10190 VR2AR-546133     -5.701717     56.49747             90
+#> 10191 VR2AR-546133     -5.701717     56.49747             90
+#> 10192 VR2AR-546133     -5.701717     56.49747             90
+#> 10193 VR2AR-546133     -5.701717     56.49747             90
+#> 10194 VR2AR-546133     -5.701717     56.49747             90
+#> 10195 VR2AR-546133     -5.701717     56.49747             90
+#> 10196 VR2AR-546133     -5.701717     56.49747             90
+#> 10197 VR2AR-546133     -5.701717     56.49747             90
+#> 10198 VR2AR-546133     -5.701717     56.49747             90
+#> 10199 VR2AR-546133     -5.701717     56.49747             90
+#> 10200 VR2AR-546133     -5.701717     56.49747             90
+#> 10201 VR2AR-546133     -5.701717     56.49747             90
+#> 10202 VR2AR-546133     -5.701717     56.49747             90
+#> 10203 VR2AR-546133     -5.701717     56.49747             90
+#> 10204 VR2AR-546133     -5.701717     56.49747             90
+#> 10205 VR2AR-546133     -5.701717     56.49747             90
+#> 10206 VR2AR-546133     -5.701717     56.49747             90
+#> 10207 VR2AR-546133     -5.701717     56.49747             90
+#> 10208 VR2AR-546133     -5.701717     56.49747             90
+#> 10209 VR2AR-546133     -5.701717     56.49747             90
+#> 10210 VR2AR-546133     -5.701717     56.49747             90
+#> 10211 VR2AR-546133     -5.701717     56.49747             90
+#> 10212 VR2AR-546133     -5.701717     56.49747             90
+#> 10213 VR2AR-546133     -5.701717     56.49747             90
+#> 10214 VR2AR-546133     -5.701717     56.49747             90
+#> 10215 VR2AR-546133     -5.701717     56.49747             90
+#> 10216 VR2AR-546133     -5.701717     56.49747             90
+#> 10217 VR2AR-546133     -5.701717     56.49747             90
+#> 10218 VR2AR-546133     -5.701717     56.49747             90
+#> 10219 VR2AR-546133     -5.701717     56.49747             90
+#> 10220 VR2AR-546133     -5.701717     56.49747             90
+#> 10221 VR2AR-546133     -5.701717     56.49747             90
+#> 10222 VR2AR-546133     -5.701717     56.49747             90
+#> 10223 VR2AR-546133     -5.701717     56.49747             90
+#> 10224 VR2AR-546133     -5.701717     56.49747             90
+#> 10225 VR2AR-546133     -5.701717     56.49747             90
+#> 10226 VR2AR-546133     -5.701717     56.49747             90
+#> 10227 VR2AR-546133     -5.701717     56.49747             90
+#> 10228 VR2AR-546133     -5.701717     56.49747             90
+#> 10229 VR2AR-546133     -5.701717     56.49747             90
+#> 10230 VR2AR-546133     -5.701717     56.49747             90
+#> 10231 VR2AR-546133     -5.701717     56.49747             90
+#> 10232 VR2AR-546133     -5.701717     56.49747             90
+#> 10233 VR2AR-546133     -5.701717     56.49747             90
+#> 10234 VR2AR-546133     -5.701717     56.49747             90
+#> 10235 VR2AR-546133     -5.701717     56.49747             90
+#> 10236 VR2AR-546133     -5.701717     56.49747             90
+#> 10237 VR2AR-546133     -5.701717     56.49747             90
+#> 10238 VR2AR-546133     -5.701717     56.49747             90
+#> 10239 VR2AR-546133     -5.701717     56.49747             90
+#> 10240 VR2AR-546133     -5.701717     56.49747             90
+#> 10241 VR2AR-546133     -5.701717     56.49747             90
+#> 10242 VR2AR-546133     -5.701717     56.49747             90
+#> 10243 VR2AR-546133     -5.701717     56.49747             90
+#> 10244 VR2AR-546133     -5.701717     56.49747             90
+#> 10245 VR2AR-546133     -5.701717     56.49747             90
+#> 10246 VR2AR-546133     -5.701717     56.49747             90
+#> 10247 VR2AR-546133     -5.701717     56.49747             90
+#> 10248 VR2AR-546133     -5.701717     56.49747             90
+#> 10249 VR2AR-546133     -5.701717     56.49747             90
+#> 10250 VR2AR-546133     -5.701717     56.49747             90
+#> 10251 VR2AR-546133     -5.701717     56.49747             90
+#> 10252 VR2AR-546133     -5.701717     56.49747             90
+#> 10253 VR2AR-546133     -5.701717     56.49747             90
+#> 10254 VR2AR-546133     -5.701717     56.49747             90
+#> 10255 VR2AR-546133     -5.701717     56.49747             90
+#> 10256 VR2AR-546133     -5.701717     56.49747             90
+#> 10257 VR2AR-546586     -5.707092     56.49447             20
+#> 10258 VR2AR-546133     -5.701717     56.49747             90
+#> 10259 VR2AR-546133     -5.701717     56.49747             90
+#> 10260 VR2AR-546133     -5.701717     56.49747             90
+#> 10261 VR2AR-546586     -5.707092     56.49447             20
+#> 10262 VR2AR-546133     -5.701717     56.49747             90
+#> 10263 VR2AR-546133     -5.701717     56.49747             90
+#> 10264 VR2AR-546133     -5.701717     56.49747             90
+#> 10265 VR2AR-546586     -5.707092     56.49447             20
+#> 10266 VR2AR-546133     -5.701717     56.49747             90
+#> 10267 VR2AR-546133     -5.701717     56.49747             90
+#> 10268 VR2AR-546133     -5.701717     56.49747             90
+#> 10269 VR2AR-546586     -5.707092     56.49447             20
+#> 10270 VR2AR-546133     -5.701717     56.49747             90
+#> 10271 VR2AR-546133     -5.701717     56.49747             90
+#> 10272 VR2AR-546133     -5.701717     56.49747             90
+#> 10273 VR2AR-546133     -5.701717     56.49747             90
+#> 10274 VR2AR-546133     -5.701717     56.49747             90
+#> 10275     VR2-5637     -5.692417     56.49913             25
+#> 10276     VR2-5637     -5.692417     56.49913             25
+#> 10277     VR2-5637     -5.692417     56.49913             25
+#> 10278     VR2-5637     -5.692417     56.49913             25
+#> 10279 VR2AR-546133     -5.701717     56.49747             90
+#> 10280 VR2AR-546133     -5.701717     56.49747             90
+#> 10281 VR2AR-546133     -5.701717     56.49747             90
+#> 10282 VR2AR-546133     -5.701717     56.49747             90
+#> 10283 VR2AR-546133     -5.701717     56.49747             90
+#> 10284 VR2AR-546133     -5.701717     56.49747             90
+#> 10285 VR2AR-546136     -5.626250     56.44810             75
+#> 10286 VR2AR-546136     -5.626250     56.44810             75
+#> 10287 VR2AR-546136     -5.626250     56.44810             75
+#> 10288 VR2AR-546136     -5.626250     56.44810             75
+#> 10289 VR2AR-546136     -5.626250     56.44810             75
+#> 10290 VR2AR-546136     -5.626250     56.44810             75
+#> 10291 VR2AR-546131     -5.612700     56.37988             35
+#> 10292 VR2AR-546131     -5.612700     56.37988             35
+#> 10293 VR2AR-546131     -5.612700     56.37988             35
+#> 10294 VR2AR-546131     -5.612700     56.37988             35
+#> 10295 VR2AR-546131     -5.612700     56.37988             35
+#> 10296 VR2AR-546131     -5.612700     56.37988             35
+#> 10297 VR2AR-546131     -5.612700     56.37988             35
+#> 10298 VR2AR-546131     -5.612700     56.37988             35
+#> 10299 VR2AR-546131     -5.612700     56.37988             35
+#> 10300 VR2AR-546131     -5.612700     56.37988             35
+#> 10301 VR2AR-546131     -5.612700     56.37988             35
+#> 10302 VR2AR-546131     -5.612700     56.37988             35
+#> 10303 VR2AR-546131     -5.612700     56.37988             35
+#> 10304 VR2AR-546131     -5.612700     56.37988             35
+#> 10305 VR2AR-546131     -5.612700     56.37988             35
+#> 10306 VR2AR-546131     -5.612700     56.37988             35
+#> 10307 VR2AR-546131     -5.612700     56.37988             35
+#> 10308 VR2AR-546131     -5.612700     56.37988             35
+#> 10309 VR2AR-546131     -5.612700     56.37988             35
+#> 10310 VR2AR-546131     -5.612700     56.37988             35
+#> 10311 VR2AR-546131     -5.612700     56.37988             35
+#> 10312 VR2AR-546131     -5.612700     56.37988             35
+#> 10313 VR2AR-546131     -5.612700     56.37988             35
+#> 10314 VR2AR-546131     -5.612700     56.37988             35
+#> 10315 VR2AR-546131     -5.612700     56.37988             35
+#> 10316 VR2AR-546131     -5.612700     56.37988             35
+#> 10317 VR2AR-546131     -5.612700     56.37988             35
+#> 10318 VR2AR-546131     -5.612700     56.37988             35
+#> 10319 VR2AR-546131     -5.612700     56.37988             35
+#> 10320 VR2AR-546131     -5.612700     56.37988             35
+#> 10321 VR2AR-546131     -5.612700     56.37988             35
+#> 10322 VR2AR-546131     -5.612700     56.37988             35
+#> 10323 VR2AR-546131     -5.612700     56.37988             35
+#> 10324 VR2AR-546131     -5.612700     56.37988             35
+#> 10325 VR2AR-546131     -5.612700     56.37988             35
+#> 10326 VR2AR-546131     -5.612700     56.37988             35
+#> 10327 VR2AR-546131     -5.612700     56.37988             35
+#> 10328 VR2AR-546131     -5.612700     56.37988             35
+#> 10329 VR2AR-546131     -5.612700     56.37988             35
+#> 10330 VR2AR-546131     -5.612700     56.37988             35
+#> 10331 VR2AR-546131     -5.612700     56.37988             35
+#> 10332 VR2AR-546131     -5.612700     56.37988             35
+#> 10333 VR2AR-546131     -5.612700     56.37988             35
+#> 10334 VR2AR-546131     -5.612700     56.37988             35
+#> 10335 VR2AR-546131     -5.612700     56.37988             35
+#> 10336 VR2AR-546131     -5.612700     56.37988             35
+#> 10337 VR2AR-546131     -5.612700     56.37988             35
+#> 10338 VR2AR-546131     -5.612700     56.37988             35
+#> 10339 VR2AR-546131     -5.612700     56.37988             35
+#> 10340 VR2AR-546380     -5.637917     56.44800             25
+#> 10341 VR2AR-546380     -5.637917     56.44800             25
+#> 10342 VR2AR-546136     -5.626250     56.44810             75
+#> 10343 VR2AR-546136     -5.626250     56.44810             75
+#> 10344 VR2AR-546380     -5.637917     56.44800             25
+#> 10345 VR2AR-546380     -5.637917     56.44800             25
+#> 10346 VR2AR-546134     -5.643867     56.38278            145
+#> 10347 VR2AR-546134     -5.643867     56.38278            145
+#> 10348 VR2AR-546134     -5.643867     56.38278            145
+#> 10349 VR2AR-546134     -5.643867     56.38278            145
+#> 10350 VR2AR-546134     -5.643867     56.38278            145
+#> 10351 VR2AR-546134     -5.643867     56.38278            145
+#> 10352 VR2AR-546134     -5.643867     56.38278            145
+#> 10353 VR2AR-546134     -5.643867     56.38278            145
+#> 10354 VR2AR-546134     -5.643867     56.38278            145
+#> 10355 VR2AR-546134     -5.643867     56.38278            145
+#> 10356 VR2AR-546134     -5.643867     56.38278            145
+#> 10357 VR2AR-546134     -5.643867     56.38278            145
+#> 10358 VR2AR-546134     -5.643867     56.38278            145
+#> 10359 VR2AR-546134     -5.643867     56.38278            145
+#> 10360 VR2AR-546134     -5.643867     56.38278            145
+#> 10361 VR2AR-546134     -5.643867     56.38278            145
+#> 10362 VR2AR-546134     -5.643867     56.38278            145
+#> 10363 VR2AR-546134     -5.643867     56.38278            145
+#> 10364 VR2AR-546134     -5.643867     56.38278            145
+#> 10365 VR2AR-546134     -5.643867     56.38278            145
+#> 10366 VR2AR-546134     -5.643867     56.38278            145
+#> 10367 VR2AR-546134     -5.643867     56.38278            145
+#> 10368 VR2AR-546134     -5.643867     56.38278            145
+#> 10369 VR2AR-546134     -5.643867     56.38278            145
+#> 10370 VR2AR-546134     -5.643867     56.38278            145
+#> 10371 VR2AR-546134     -5.643867     56.38278            145
+#> 10372 VR2AR-546134     -5.643867     56.38278            145
+#> 10373 VR2AR-546134     -5.643867     56.38278            145
+#> 10374 VR2AR-546134     -5.643867     56.38278            145
+#> 10375 VR2AR-546134     -5.643867     56.38278            145
+#> 10376 VR2AR-546134     -5.643867     56.38278            145
+#> 10377 VR2AR-546134     -5.643867     56.38278            145
+#> 10378 VR2AR-546134     -5.643867     56.38278            145
+#> 10379 VR2AR-546134     -5.643867     56.38278            145
+#> 10380 VR2AR-546134     -5.643867     56.38278            145
+#> 10381 VR2AR-546134     -5.643867     56.38278            145
+#> 10382 VR2AR-546134     -5.643867     56.38278            145
+#> 10383 VR2AR-546585     -5.623995     56.37436             75
+#> 10384 VR2AR-546585     -5.623995     56.37436             75
+#> 10385 VR2AR-546585     -5.623995     56.37436             75
+#> 10386 VR2AR-546585     -5.623995     56.37436             75
+#> 10387 VR2AR-546585     -5.623995     56.37436             75
+#> 10388 VR2AR-546585     -5.623995     56.37436             75
+#> 10389 VR2AR-546585     -5.623995     56.37436             75
+#> 10390 VR2AR-546585     -5.623995     56.37436             75
+#> 10391 VR2AR-546585     -5.623995     56.37436             75
+#> 10392 VR2AR-546585     -5.623995     56.37436             75
+#> 10393 VR2AR-546585     -5.623995     56.37436             75
+#> 10394 VR2AR-546585     -5.623995     56.37436             75
+#> 10395 VR2AR-546585     -5.623995     56.37436             75
+#> 10396 VR2AR-546585     -5.623995     56.37436             75
+#> 10397 VR2AR-546585     -5.623995     56.37436             75
+#> 10398 VR2AR-546585     -5.623995     56.37436             75
+#> 10399 VR2AR-546585     -5.623995     56.37436             75
+#> 10400 VR2AR-546585     -5.623995     56.37436             75
+#> 10401 VR2AR-546585     -5.623995     56.37436             75
+#> 10402 VR2AR-546585     -5.623995     56.37436             75
+#> 10403 VR2AR-546585     -5.623995     56.37436             75
+#> 10404  VR2W-108158     -5.619533     56.37413             25
+#> 10405  VR2W-108158     -5.619533     56.37413             25
+#> 10406 VR2AR-546585     -5.623995     56.37436             75
+#> 10407  VR2W-108158     -5.619533     56.37413             25
+#> 10408 VR2AR-546585     -5.623995     56.37436             75
+#> 10409 VR2AR-546585     -5.623995     56.37436             75
+#> 10410 VR2AR-546585     -5.623995     56.37436             75
+#> 10411  VR2W-108158     -5.619533     56.37413             25
+#> 10412  VR2W-108158     -5.619533     56.37413             25
+#> 10413  VR2W-108158     -5.619533     56.37413             25
+#> 10414  VR2W-108158     -5.619533     56.37413             25
+#> 10415  VR2W-108158     -5.619533     56.37413             25
+#> 10416  VR2W-108158     -5.619533     56.37413             25
+#> 10417 VR2AR-546585     -5.623995     56.37436             75
+#> 10418  VR2W-108158     -5.619533     56.37413             25
+#> 10419  VR2W-108158     -5.619533     56.37413             25
+#> 10420  VR2W-108158     -5.619533     56.37413             25
+#> 10421 VR2AR-546585     -5.623995     56.37436             75
+#> 10422  VR2W-108158     -5.619533     56.37413             25
+#> 10423  VR2W-108158     -5.619533     56.37413             25
+#> 10424  VR2W-108158     -5.619533     56.37413             25
+#> 10425  VR2W-108158     -5.619533     56.37413             25
+#> 10426  VR2W-108158     -5.619533     56.37413             25
+#> 10427  VR2W-108158     -5.619533     56.37413             25
+#> 10428 VR2AR-546585     -5.623995     56.37436             75
+#> 10429  VR2W-108158     -5.619533     56.37413             25
+#> 10430  VR2W-108158     -5.619533     56.37413             25
+#> 10431 VR2AR-546585     -5.623995     56.37436             75
+#> 10432  VR2W-108158     -5.619533     56.37413             25
+#> 10433 VR2AR-546585     -5.623995     56.37436             75
+#> 10434  VR2W-108158     -5.619533     56.37413             25
+#> 10435  VR2W-108158     -5.619533     56.37413             25
+#> 10436 VR2AR-546585     -5.623995     56.37436             75
+#> 10437  VR2W-108158     -5.619533     56.37413             25
+#> 10438  VR2W-108158     -5.619533     56.37413             25
+#> 10439  VR2W-108158     -5.619533     56.37413             25
+#> 10440 VR2AR-546585     -5.623995     56.37436             75
+#> 10441  VR2W-108158     -5.619533     56.37413             25
+#> 10442 VR2AR-546585     -5.623995     56.37436             75
+#> 10443  VR2W-108158     -5.619533     56.37413             25
+#> 10444 VR2AR-546585     -5.623995     56.37436             75
+#> 10445  VR2W-108158     -5.619533     56.37413             25
+#> 10446 VR2AR-546585     -5.623995     56.37436             75
+#> 10447  VR2W-108158     -5.619533     56.37413             25
+#> 10448  VR2W-108158     -5.619533     56.37413             25
+#> 10449 VR2AR-546585     -5.623995     56.37436             75
+#> 10450 VR2AR-546585     -5.623995     56.37436             75
+#> 10451 VR2AR-546585     -5.623995     56.37436             75
+#> 10452 VR2AR-546585     -5.623995     56.37436             75
+#> 10453 VR2AR-546585     -5.623995     56.37436             75
+#> 10454 VR2AR-546585     -5.623995     56.37436             75
+#> 10455  VR2W-108158     -5.619533     56.37413             25
+#> 10456 VR2AR-546131     -5.612700     56.37988             35
+#> 10457 VR2AR-546131     -5.612700     56.37988             35
+#> 10458 VR2AR-546131     -5.612700     56.37988             35
+#> 10459 VR2AR-546131     -5.612700     56.37988             35
+#> 10460 VR2AR-546131     -5.612700     56.37988             35
+#> 10461 VR2AR-546131     -5.612700     56.37988             35
+#> 10462 VR2AR-546131     -5.612700     56.37988             35
+#> 10463 VR2AR-546131     -5.612700     56.37988             35
+#> 10464 VR2AR-546131     -5.612700     56.37988             35
+#> 10465 VR2AR-546131     -5.612700     56.37988             35
+#> 10466 VR2AR-546131     -5.612700     56.37988             35
+#> 10467 VR2AR-546131     -5.612700     56.37988             35
+#> 10468 VR2AR-546131     -5.612700     56.37988             35
+#> 10469 VR2AR-546131     -5.612700     56.37988             35
+#> 10470 VR2AR-546131     -5.612700     56.37988             35
+#> 10471 VR2AR-546131     -5.612700     56.37988             35
+#> 10472 VR2AR-546131     -5.612700     56.37988             35
+#> 10473 VR2AR-546131     -5.612700     56.37988             35
+#> 10474 VR2AR-546131     -5.612700     56.37988             35
+#> 10475 VR2AR-546131     -5.612700     56.37988             35
+#> 10476 VR2AR-546131     -5.612700     56.37988             35
+#> 10477 VR2AR-546131     -5.612700     56.37988             35
+#> 10478 VR2AR-546131     -5.612700     56.37988             35
+#> 10479 VR2AR-546131     -5.612700     56.37988             35
+#> 10480 VR2AR-546131     -5.612700     56.37988             35
+#> 10481 VR2AR-546131     -5.612700     56.37988             35
+#> 10482 VR2AR-546131     -5.612700     56.37988             35
+#> 10483 VR2AR-546131     -5.612700     56.37988             35
+#> 10484 VR2AR-546131     -5.612700     56.37988             35
+#> 10485 VR2AR-546131     -5.612700     56.37988             35
+#> 10486 VR2AR-546131     -5.612700     56.37988             35
+#> 10487 VR2AR-546131     -5.612700     56.37988             35
+#> 10488 VR2AR-546131     -5.612700     56.37988             35
+#> 10489 VR2AR-546131     -5.612700     56.37988             35
+#> 10490 VR2AR-546131     -5.612700     56.37988             35
+#> 10491 VR2AR-546131     -5.612700     56.37988             35
+#> 10492 VR2AR-546131     -5.612700     56.37988             35
+#> 10493 VR2AR-546131     -5.612700     56.37988             35
+#> 10494 VR2AR-546131     -5.612700     56.37988             35
+#> 10495 VR2AR-546131     -5.612700     56.37988             35
+#> 10496 VR2AR-546131     -5.612700     56.37988             35
+#> 10497 VR2AR-546131     -5.612700     56.37988             35
+#> 10498 VR2AR-546131     -5.612700     56.37988             35
+#> 10499 VR2AR-546131     -5.612700     56.37988             35
+#> 10500 VR2AR-546131     -5.612700     56.37988             35
+#> 10501 VR2AR-546131     -5.612700     56.37988             35
+#> 10502 VR2AR-546584     -5.604973     56.37774             30
+#> 10503 VR2AR-546131     -5.612700     56.37988             35
+#> 10504 VR2AR-546584     -5.604973     56.37774             30
+#> 10505 VR2AR-546131     -5.612700     56.37988             35
+#> 10506 VR2AR-546584     -5.604973     56.37774             30
+#> 10507 VR2AR-546131     -5.612700     56.37988             35
+#> 10508 VR2AR-546131     -5.612700     56.37988             35
+#> 10509 VR2AR-546584     -5.604973     56.37774             30
+#> 10510 VR2AR-546584     -5.604973     56.37774             30
+#> 10511 VR2AR-546131     -5.612700     56.37988             35
+#> 10512 VR2AR-546131     -5.612700     56.37988             35
+#> 10513 VR2AR-546584     -5.604973     56.37774             30
+#> 10514 VR2AR-546131     -5.612700     56.37988             35
+#> 10515 VR2AR-546131     -5.612700     56.37988             35
+#> 10516 VR2AR-546584     -5.604973     56.37774             30
+#> 10517 VR2AR-546131     -5.612700     56.37988             35
+#> 10518 VR2AR-546584     -5.604973     56.37774             30
+#> 10519 VR2AR-546584     -5.604973     56.37774             30
+#> 10520 VR2AR-546131     -5.612700     56.37988             35
+#> 10521 VR2AR-546584     -5.604973     56.37774             30
+#> 10522 VR2AR-546131     -5.612700     56.37988             35
+#> 10523 VR2AR-546131     -5.612700     56.37988             35
+#> 10524 VR2AR-546584     -5.604973     56.37774             30
+#> 10525 VR2AR-546584     -5.604973     56.37774             30
+#> 10526 VR2AR-546131     -5.612700     56.37988             35
+#> 10527 VR2AR-546131     -5.612700     56.37988             35
+#> 10528 VR2AR-546584     -5.604973     56.37774             30
+#> 10529 VR2AR-546131     -5.612700     56.37988             35
+#> 10530 VR2AR-546584     -5.604973     56.37774             30
+#> 10531 VR2AR-546131     -5.612700     56.37988             35
+#> 10532 VR2AR-546131     -5.612700     56.37988             35
+#> 10533 VR2AR-546584     -5.604973     56.37774             30
+#> 10534 VR2AR-546584     -5.604973     56.37774             30
+#> 10535 VR2AR-546131     -5.612700     56.37988             35
+#> 10536 VR2AR-546131     -5.612700     56.37988             35
+#> 10537 VR2AR-546584     -5.604973     56.37774             30
+#> 10538 VR2AR-546584     -5.604973     56.37774             30
+#> 10539 VR2AR-546131     -5.612700     56.37988             35
+#> 10540 VR2AR-546131     -5.612700     56.37988             35
+#> 10541 VR2AR-546584     -5.604973     56.37774             30
+#> 10542 VR2AR-546131     -5.612700     56.37988             35
+#> 10543 VR2AR-546131     -5.612700     56.37988             35
+#> 10544 VR2AR-546131     -5.612700     56.37988             35
+#> 10545 VR2AR-546131     -5.612700     56.37988             35
+#> 10546 VR2AR-546131     -5.612700     56.37988             35
+#> 10547 VR2AR-546131     -5.612700     56.37988             35
+#> 10548 VR2AR-546131     -5.612700     56.37988             35
+#> 10549 VR2AR-546131     -5.612700     56.37988             35
+#> 10550 VR2AR-546131     -5.612700     56.37988             35
+#> 10551 VR2AR-546131     -5.612700     56.37988             35
+#> 10552 VR2AR-546131     -5.612700     56.37988             35
+#> 10553 VR2AR-546131     -5.612700     56.37988             35
+#> 10554 VR2AR-546131     -5.612700     56.37988             35
+#> 10555 VR2AR-546131     -5.612700     56.37988             35
+#> 10556 VR2AR-546131     -5.612700     56.37988             35
+#> 10557 VR2AR-546134     -5.643867     56.38278            145
+#> 10558 VR2AR-546134     -5.643867     56.38278            145
+#> 10559 VR2AR-546134     -5.643867     56.38278            145
+#> 10560 VR2AR-546134     -5.643867     56.38278            145
+#> 10561 VR2AR-546134     -5.643867     56.38278            145
+#> 10562 VR2AR-546134     -5.643867     56.38278            145
+#> 10563 VR2AR-546134     -5.643867     56.38278            145
+#> 10564 VR2AR-546134     -5.643867     56.38278            145
+#> 10565 VR2AR-546134     -5.643867     56.38278            145
+#> 10566 VR2AR-546134     -5.643867     56.38278            145
+#> 10567 VR2AR-546134     -5.643867     56.38278            145
+#> 10568 VR2AR-546134     -5.643867     56.38278            145
+#> 10569 VR2AR-546134     -5.643867     56.38278            145
+#> 10570 VR2AR-546134     -5.643867     56.38278            145
+#> 10571 VR2AR-546134     -5.643867     56.38278            145
+#> 10572 VR2AR-546134     -5.643867     56.38278            145
+#> 10573 VR2AR-546134     -5.643867     56.38278            145
+#> 10574 VR2AR-546134     -5.643867     56.38278            145
+#> 10575 VR2AR-546134     -5.643867     56.38278            145
+#> 10576 VR2AR-546134     -5.643867     56.38278            145
+#> 10577 VR2AR-546134     -5.643867     56.38278            145
+#> 10578 VR2AR-546134     -5.643867     56.38278            145
+#> 10579 VR2AR-546134     -5.643867     56.38278            145
+#> 10580 VR2AR-546134     -5.643867     56.38278            145
+#> 10581 VR2AR-546135     -5.657067     56.38803             85
+#> 10582 VR2AR-546135     -5.657067     56.38803             85
+#> 10583 VR2AR-546135     -5.657067     56.38803             85
+#> 10584 VR2AR-546380     -5.637917     56.44800             25
+#> 10585 VR2AR-546380     -5.637917     56.44800             25
+#> 10586 VR2AR-546380     -5.637917     56.44800             25
+#> 10587 VR2AR-546380     -5.637917     56.44800             25
+#> 10588 VR2AR-546380     -5.637917     56.44800             25
+#> 10589 VR2AR-546380     -5.637917     56.44800             25
+#> 10590 VR2AR-546380     -5.637917     56.44800             25
+#> 10591 VR2AR-546380     -5.637917     56.44800             25
+#> 10592 VR2AR-546380     -5.637917     56.44800             25
+#> 10593 VR2AR-546380     -5.637917     56.44800             25
+#> 10594 VR2AR-546380     -5.637917     56.44800             25
+#> 10595 VR2AR-546380     -5.637917     56.44800             25
+#> 10596 VR2AR-546380     -5.637917     56.44800             25
+#> 10597 VR2AR-546380     -5.637917     56.44800             25
+#> 10598 VR2AR-546380     -5.637917     56.44800             25
+#> 10599 VR2AR-546380     -5.637917     56.44800             25
+#> 10600 VR2AR-546380     -5.637917     56.44800             25
+#> 10601 VR2AR-546380     -5.637917     56.44800             25
+#> 10602 VR2AR-546586     -5.707092     56.49447             20
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+#> 10604 VR2AR-546133     -5.701717     56.49747             90
+#> 10605 VR2AR-546586     -5.707092     56.49447             20
+#> 10606 VR2AR-546586     -5.707092     56.49447             20
+#> 10607 VR2AR-546586     -5.707092     56.49447             20
+#> 10608 VR2AR-546133     -5.701717     56.49747             90
+#> 10609 VR2AR-546586     -5.707092     56.49447             20
+#> 10610 VR2AR-546586     -5.707092     56.49447             20
+#> 10611 VR2AR-546586     -5.707092     56.49447             20
+#> 10612 VR2AR-546586     -5.707092     56.49447             20
+#> 10613 VR2AR-546133     -5.701717     56.49747             90
+#> 10614 VR2AR-546586     -5.707092     56.49447             20
+#> 10615 VR2AR-546133     -5.701717     56.49747             90
+#> 10616 VR2AR-546586     -5.707092     56.49447             20
+#> 10617 VR2AR-546586     -5.707092     56.49447             20
+#> 10618 VR2AR-546133     -5.701717     56.49747             90
+#> 10619 VR2AR-546586     -5.707092     56.49447             20
+#> 10620 VR2AR-546133     -5.701717     56.49747             90
+#> 10621 VR2AR-546586     -5.707092     56.49447             20
+#> 10622 VR2AR-546586     -5.707092     56.49447             20
+#> 10623 VR2AR-546586     -5.707092     56.49447             20
+#> 10624 VR2AR-546133     -5.701717     56.49747             90
+#> 10625 VR2AR-546586     -5.707092     56.49447             20
+#> 10626 VR2AR-546133     -5.701717     56.49747             90
+#> 10627 VR2AR-546133     -5.701717     56.49747             90
+#> 10628 VR2AR-546133     -5.701717     56.49747             90
+#> 10629 VR2AR-546133     -5.701717     56.49747             90
+#> 10630 VR2AR-546133     -5.701717     56.49747             90
+#> 10631 VR2AR-546133     -5.701717     56.49747             90
+#> 10632 VR2AR-546133     -5.701717     56.49747             90
+#> 10633 VR2AR-546133     -5.701717     56.49747             90
+#> 10634 VR2AR-546586     -5.707092     56.49447             20
+#> 10635 VR2AR-546586     -5.707092     56.49447             20
+#> 10636 VR2AR-546586     -5.707092     56.49447             20
+#> 10637 VR2AR-546133     -5.701717     56.49747             90
+#> 10638 VR2AR-546586     -5.707092     56.49447             20
+#> 10639 VR2AR-546586     -5.707092     56.49447             20
+#> 10640 VR2AR-546133     -5.701717     56.49747             90
+#> 10641 VR2AR-546586     -5.707092     56.49447             20
+#> 10642 VR2AR-546586     -5.707092     56.49447             20
+#> 10643 VR2AR-546586     -5.707092     56.49447             20
+#> 10644 VR2AR-546586     -5.707092     56.49447             20
+#> 10645 VR2AR-546586     -5.707092     56.49447             20
+#> 10646 VR2AR-546133     -5.701717     56.49747             90
+#> 10647 VR2AR-546586     -5.707092     56.49447             20
+#> 10648 VR2AR-546586     -5.707092     56.49447             20
+#> 10649 VR2AR-546586     -5.707092     56.49447             20
+#> 10650 VR2AR-546586     -5.707092     56.49447             20
+#> 10651 VR2AR-546586     -5.707092     56.49447             20
+#> 10652 VR2AR-546586     -5.707092     56.49447             20
+#> 10653 VR2AR-546586     -5.707092     56.49447             20
+#> 10654 VR2AR-546586     -5.707092     56.49447             20
+#> 10655 VR2AR-546586     -5.707092     56.49447             20
+#> 10656 VR2AR-546380     -5.637917     56.44800             25
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+#> 10658 VR2AR-546380     -5.637917     56.44800             25
+#> 10659 VR2AR-546380     -5.637917     56.44800             25
+#> 10660 VR2AR-546380     -5.637917     56.44800             25
+#> 10661 VR2AR-546380     -5.637917     56.44800             25
+#> 10662 VR2AR-546380     -5.637917     56.44800             25
+#> 10663 VR2AR-546380     -5.637917     56.44800             25
+#> 10664 VR2AR-546380     -5.637917     56.44800             25
+#> 10665 VR2AR-546380     -5.637917     56.44800             25
+#> 10666 VR2AR-546380     -5.637917     56.44800             25
+#> 10667 VR2AR-546380     -5.637917     56.44800             25
+#> 10668 VR2AR-546380     -5.637917     56.44800             25
+#> 10669 VR2AR-546380     -5.637917     56.44800             25
+#> 10670 VR2AR-546380     -5.637917     56.44800             25
+#> 10671 VR2AR-546380     -5.637917     56.44800             25
+#> 10672 VR2AR-546380     -5.637917     56.44800             25
+#> 10673 VR2AR-546380     -5.637917     56.44800             25
+#> 10674 VR2AR-546380     -5.637917     56.44800             25
+#> 10675 VR2AR-546380     -5.637917     56.44800             25
+#> 10676 VR2AR-546380     -5.637917     56.44800             25
+#> 10677 VR2AR-546380     -5.637917     56.44800             25
+#> 10678 VR2AR-546380     -5.637917     56.44800             25
+#> 10679 VR2AR-546380     -5.637917     56.44800             25
+#> 10680 VR2AR-546380     -5.637917     56.44800             25
+#> 10681 VR2AR-546380     -5.637917     56.44800             25
+#> 10682 VR2AR-546134     -5.643867     56.38278            145
+#> 10683 VR2AR-546134     -5.643867     56.38278            145
+#> 10684 VR2AR-546134     -5.643867     56.38278            145
+#> 10685 VR2AR-546134     -5.643867     56.38278            145
+#> 10686 VR2AR-546134     -5.643867     56.38278            145
+#> 10687 VR2AR-546134     -5.643867     56.38278            145
+#> 10688 VR2AR-546134     -5.643867     56.38278            145
+#> 10689 VR2AR-546134     -5.643867     56.38278            145
+#> 10690 VR2AR-546134     -5.643867     56.38278            145
+#> 10691 VR2AR-546134     -5.643867     56.38278            145
+#> 10692 VR2AR-546134     -5.643867     56.38278            145
+#> 10693 VR2AR-546134     -5.643867     56.38278            145
+#> 10694 VR2AR-546134     -5.643867     56.38278            145
+#> 10695 VR2AR-546131     -5.612700     56.37988             35
+#> 10696 VR2AR-546131     -5.612700     56.37988             35
+#> 10697 VR2AR-546131     -5.612700     56.37988             35
+#> 10698 VR2AR-546131     -5.612700     56.37988             35
+#> 10699 VR2AR-546131     -5.612700     56.37988             35
+#> 10700 VR2AR-546131     -5.612700     56.37988             35
+#> 10701 VR2AR-546131     -5.612700     56.37988             35
+#> 10702 VR2AR-546131     -5.612700     56.37988             35
+#> 10703 VR2AR-546131     -5.612700     56.37988             35
+#> 10704 VR2AR-546131     -5.612700     56.37988             35
+#> 10705 VR2AR-546131     -5.612700     56.37988             35
+#> 10706 VR2AR-546131     -5.612700     56.37988             35
+#> 10707 VR2AR-546131     -5.612700     56.37988             35
+#> 10708 VR2AR-546131     -5.612700     56.37988             35
+#> 10709 VR2AR-546131     -5.612700     56.37988             35
+#> 10710 VR2AR-546131     -5.612700     56.37988             35
+#> 10711 VR2AR-546131     -5.612700     56.37988             35
+#> 10712 VR2AR-546131     -5.612700     56.37988             35
+#> 10713 VR2AR-546131     -5.612700     56.37988             35
+#> 10714 VR2AR-546131     -5.612700     56.37988             35
+#> 10715 VR2AR-546131     -5.612700     56.37988             35
+#> 10716 VR2AR-546131     -5.612700     56.37988             35
+#> 10717 VR2AR-546131     -5.612700     56.37988             35
+#> 10718 VR2AR-546131     -5.612700     56.37988             35
+#> 10719 VR2AR-546131     -5.612700     56.37988             35
+#> 10720 VR2AR-546131     -5.612700     56.37988             35
+#> 10721 VR2AR-546131     -5.612700     56.37988             35
+#> 10722 VR2AR-546131     -5.612700     56.37988             35
+#> 10723 VR2AR-546131     -5.612700     56.37988             35
+#> 10724 VR2AR-546131     -5.612700     56.37988             35
+#> 10725 VR2AR-546131     -5.612700     56.37988             35
+#> 10726 VR2AR-546131     -5.612700     56.37988             35
+#> 10727 VR2AR-546131     -5.612700     56.37988             35
+#> 10728 VR2AR-546131     -5.612700     56.37988             35
+#> 10729 VR2AR-546131     -5.612700     56.37988             35
+#> 10730 VR2AR-546131     -5.612700     56.37988             35
+#> 10731 VR2AR-546131     -5.612700     56.37988             35
+#> 10732 VR2AR-546131     -5.612700     56.37988             35
+#> 10733 VR2AR-546131     -5.612700     56.37988             35
+#> 10734 VR2AR-546131     -5.612700     56.37988             35
+#> 10735 VR2AR-546131     -5.612700     56.37988             35
+#> 10736 VR2AR-546131     -5.612700     56.37988             35
+#> 10737 VR2AR-546131     -5.612700     56.37988             35
+#> 10738 VR2AR-546131     -5.612700     56.37988             35
+#> 10739 VR2AR-546131     -5.612700     56.37988             35
+#> 10740 VR2AR-546131     -5.612700     56.37988             35
+#> 10741 VR2AR-546131     -5.612700     56.37988             35
+#> 10742 VR2AR-546131     -5.612700     56.37988             35
+#> 10743 VR2AR-546131     -5.612700     56.37988             35
+#> 10744 VR2AR-546131     -5.612700     56.37988             35
+#> 10745 VR2AR-546131     -5.612700     56.37988             35
+#> 10746 VR2AR-546131     -5.612700     56.37988             35
+#> 10747 VR2AR-546131     -5.612700     56.37988             35
+#> 10748 VR2AR-546131     -5.612700     56.37988             35
+#> 10749 VR2AR-546131     -5.612700     56.37988             35
+#> 10750 VR2AR-546131     -5.612700     56.37988             35
+#> 10751 VR2AR-546131     -5.612700     56.37988             35
+#> 10752 VR2AR-546131     -5.612700     56.37988             35
+#> 10753 VR2AR-546131     -5.612700     56.37988             35
+#> 10754 VR2AR-546131     -5.612700     56.37988             35
+#> 10755 VR2AR-546131     -5.612700     56.37988             35
+#> 10756 VR2AR-546131     -5.612700     56.37988             35
+#> 10757 VR2AR-546131     -5.612700     56.37988             35
+#> 10758 VR2AR-546131     -5.612700     56.37988             35
+#> 10759 VR2AR-546131     -5.612700     56.37988             35
+#> 10760 VR2AR-546131     -5.612700     56.37988             35
+#> 10761 VR2AR-546131     -5.612700     56.37988             35
+#> 10762 VR2AR-546131     -5.612700     56.37988             35
+#> 10763 VR2AR-546131     -5.612700     56.37988             35
+#> 10764 VR2AR-546131     -5.612700     56.37988             35
+#> 10765 VR2AR-546131     -5.612700     56.37988             35
+#> 10766 VR2AR-546131     -5.612700     56.37988             35
+#> 10767 VR2AR-546131     -5.612700     56.37988             35
+#> 10768 VR2AR-546131     -5.612700     56.37988             35
+#> 10769 VR2AR-546131     -5.612700     56.37988             35
+#> 10770 VR2AR-546131     -5.612700     56.37988             35
+#> 10771 VR2AR-546131     -5.612700     56.37988             35
+#> 10772 VR2AR-546131     -5.612700     56.37988             35
+#> 10773 VR2AR-546131     -5.612700     56.37988             35
+#> 10774 VR2AR-546131     -5.612700     56.37988             35
+#> 10775 VR2AR-546131     -5.612700     56.37988             35
+#> 10776 VR2AR-546131     -5.612700     56.37988             35
+#> 10777 VR2AR-546131     -5.612700     56.37988             35
+#> 10778 VR2AR-546131     -5.612700     56.37988             35
+#> 10779 VR2AR-546131     -5.612700     56.37988             35
+#> 10780 VR2AR-546131     -5.612700     56.37988             35
+#> 10781 VR2AR-546131     -5.612700     56.37988             35
+#> 10782 VR2AR-546131     -5.612700     56.37988             35
+#> 10783 VR2AR-546131     -5.612700     56.37988             35
+#> 10784 VR2AR-546131     -5.612700     56.37988             35
+#> 10785 VR2AR-546131     -5.612700     56.37988             35
+#> 10786 VR2AR-546131     -5.612700     56.37988             35
+#> 10787 VR2AR-546131     -5.612700     56.37988             35
+#> 10788 VR2AR-546131     -5.612700     56.37988             35
+#> 10789 VR2AR-546131     -5.612700     56.37988             35
+#> 10790 VR2AR-546131     -5.612700     56.37988             35
+#> 10791 VR2AR-546131     -5.612700     56.37988             35
+#> 10792 VR2AR-546131     -5.612700     56.37988             35
+#> 10793 VR2AR-546131     -5.612700     56.37988             35
+#> 10794 VR2AR-546131     -5.612700     56.37988             35
+#> 10795 VR2AR-546131     -5.612700     56.37988             35
+#> 10796 VR2AR-546131     -5.612700     56.37988             35
+#> 10797 VR2AR-546131     -5.612700     56.37988             35
+#> 10798 VR2AR-546131     -5.612700     56.37988             35
+#> 10799 VR2AR-546131     -5.612700     56.37988             35
+#> 10800 VR2AR-546131     -5.612700     56.37988             35
+#> 10801 VR2AR-546131     -5.612700     56.37988             35
+#> 10802 VR2AR-546131     -5.612700     56.37988             35
+#> 10803 VR2AR-546131     -5.612700     56.37988             35
+#> 10804 VR2AR-546131     -5.612700     56.37988             35
+#> 10805 VR2AR-546131     -5.612700     56.37988             35
+#> 10806 VR2AR-546131     -5.612700     56.37988             35
+#> 10807 VR2AR-546131     -5.612700     56.37988             35
+#> 10808 VR2AR-546584     -5.604973     56.37774             30
+#> 10809 VR2AR-546131     -5.612700     56.37988             35
+#> 10810 VR2AR-546131     -5.612700     56.37988             35
+#> 10811 VR2AR-546131     -5.612700     56.37988             35
+#> 10812 VR2AR-546584     -5.604973     56.37774             30
+#> 10813 VR2AR-546584     -5.604973     56.37774             30
+#> 10814 VR2AR-546131     -5.612700     56.37988             35
+#> 10815 VR2AR-546131     -5.612700     56.37988             35
+#> 10816 VR2AR-546584     -5.604973     56.37774             30
+#> 10817 VR2AR-546584     -5.604973     56.37774             30
+#> 10818 VR2AR-546584     -5.604973     56.37774             30
+#> 10819 VR2AR-546131     -5.612700     56.37988             35
+#> 10820 VR2AR-546584     -5.604973     56.37774             30
+#> 10821 VR2AR-546584     -5.604973     56.37774             30
+#> 10822 VR2AR-546584     -5.604973     56.37774             30
+#> 10823 VR2AR-546584     -5.604973     56.37774             30
+#> 10824 VR2AR-546584     -5.604973     56.37774             30
+#> 10825 VR2AR-546584     -5.604973     56.37774             30
+#> 10826 VR2AR-546584     -5.604973     56.37774             30
+#> 10827 VR2AR-546584     -5.604973     56.37774             30
+#> 10828 VR2AR-546131     -5.612700     56.37988             35
+#> 10829 VR2AR-546131     -5.612700     56.37988             35
+#> 10830 VR2AR-546584     -5.604973     56.37774             30
+#> 10831 VR2AR-546131     -5.612700     56.37988             35
+#> 10832 VR2AR-546131     -5.612700     56.37988             35
+#> 10833 VR2AR-546131     -5.612700     56.37988             35
+#> 10834 VR2AR-546131     -5.612700     56.37988             35
+#> 10835 VR2AR-546131     -5.612700     56.37988             35
+#> 10836 VR2AR-546131     -5.612700     56.37988             35
+#> 10837 VR2AR-546131     -5.612700     56.37988             35
+#> 10838 VR2AR-546584     -5.604973     56.37774             30
+#> 10839 VR2AR-546131     -5.612700     56.37988             35
+#> 10840 VR2AR-546584     -5.604973     56.37774             30
+#> 10841 VR2AR-546131     -5.612700     56.37988             35
+#> 10842 VR2AR-546131     -5.612700     56.37988             35
+#> 10843 VR2AR-546584     -5.604973     56.37774             30
+#> 10844 VR2AR-546584     -5.604973     56.37774             30
+#> 10845 VR2AR-546131     -5.612700     56.37988             35
+#> 10846 VR2AR-546584     -5.604973     56.37774             30
+#> 10847 VR2AR-546131     -5.612700     56.37988             35
+#> 10848 VR2AR-546131     -5.612700     56.37988             35
+#> 10849 VR2AR-546131     -5.612700     56.37988             35
+#> 10850 VR2AR-546584     -5.604973     56.37774             30
+#> 10851 VR2AR-546131     -5.612700     56.37988             35
+#> 10852 VR2AR-546131     -5.612700     56.37988             35
+#> 10853 VR2AR-546131     -5.612700     56.37988             35
+#> 10854 VR2AR-546131     -5.612700     56.37988             35
+#> 10855 VR2AR-546131     -5.612700     56.37988             35
+#> 10856 VR2AR-546131     -5.612700     56.37988             35
+#> 10857 VR2AR-546131     -5.612700     56.37988             35
+#> 10858 VR2AR-546131     -5.612700     56.37988             35
+#> 10859 VR2AR-546131     -5.612700     56.37988             35
+#> 10860 VR2AR-546131     -5.612700     56.37988             35
+#> 10861 VR2AR-546584     -5.604973     56.37774             30
+#> 10862 VR2AR-546131     -5.612700     56.37988             35
+#> 10863 VR2AR-546584     -5.604973     56.37774             30
+#> 10864 VR2AR-546131     -5.612700     56.37988             35
+#> 10865 VR2AR-546131     -5.612700     56.37988             35
+#> 10866 VR2AR-546131     -5.612700     56.37988             35
+#> 10867 VR2AR-546131     -5.612700     56.37988             35
+#> 10868 VR2AR-546131     -5.612700     56.37988             35
+#> 10869 VR2AR-546131     -5.612700     56.37988             35
+#> 10870 VR2AR-546131     -5.612700     56.37988             35
+#> 10871 VR2AR-546131     -5.612700     56.37988             35
+#> 10872 VR2AR-546131     -5.612700     56.37988             35
+#> 10873 VR2AR-546131     -5.612700     56.37988             35
+#> 10874 VR2AR-546131     -5.612700     56.37988             35
+#> 10875 VR2AR-546131     -5.612700     56.37988             35
+#> 10876 VR2AR-546131     -5.612700     56.37988             35
+#> 10877 VR2AR-546584     -5.604973     56.37774             30
+#> 10878 VR2AR-546131     -5.612700     56.37988             35
+#> 10879 VR2AR-546584     -5.604973     56.37774             30
+#> 10880 VR2AR-546131     -5.612700     56.37988             35
+#> 10881 VR2AR-546131     -5.612700     56.37988             35
+#> 10882 VR2AR-546131     -5.612700     56.37988             35
+#> 10883 VR2AR-546584     -5.604973     56.37774             30
+#> 10884 VR2AR-546131     -5.612700     56.37988             35
+#> 10885 VR2AR-546131     -5.612700     56.37988             35
+#> 10886 VR2AR-546584     -5.604973     56.37774             30
+#> 10887 VR2AR-546584     -5.604973     56.37774             30
+#> 10888 VR2AR-546131     -5.612700     56.37988             35
+#> 10889 VR2AR-546131     -5.612700     56.37988             35
+#> 10890 VR2AR-546131     -5.612700     56.37988             35
+#> 10891 VR2AR-546131     -5.612700     56.37988             35
+#> 10892 VR2AR-546131     -5.612700     56.37988             35
+#> 10893 VR2AR-546131     -5.612700     56.37988             35
+#> 10894 VR2AR-546131     -5.612700     56.37988             35
+#> 10895 VR2AR-546131     -5.612700     56.37988             35
+#> 10896 VR2AR-546131     -5.612700     56.37988             35
+#> 10897 VR2AR-546131     -5.612700     56.37988             35
+#> 10898 VR2AR-546131     -5.612700     56.37988             35
+#> 10899 VR2AR-546131     -5.612700     56.37988             35
+#> 10900 VR2AR-546131     -5.612700     56.37988             35
+#> 10901 VR2AR-546585     -5.623995     56.37436             75
+#> 10902 VR2AR-546585     -5.623995     56.37436             75
+#> 10903 VR2AR-546585     -5.623995     56.37436             75
+#> 10904  VR2W-108160     -5.631733     56.37447             50
+#> 10905 VR2AR-546585     -5.623995     56.37436             75
+#> 10906  VR2W-108160     -5.631733     56.37447             50
+#> 10907 VR2AR-546585     -5.623995     56.37436             75
+#> 10908  VR2W-108160     -5.631733     56.37447             50
+#> 10909 VR2AR-546585     -5.623995     56.37436             75
+#> 10910 VR2AR-546585     -5.623995     56.37436             75
+#> 10911 VR2AR-546585     -5.623995     56.37436             75
+#> 10912 VR2AR-546585     -5.623995     56.37436             75
+#> 10913 VR2AR-546585     -5.623995     56.37436             75
+#> 10914  VR2W-108160     -5.631733     56.37447             50
+#> 10915 VR2AR-546585     -5.623995     56.37436             75
+#> 10916  VR2W-108160     -5.631733     56.37447             50
+#> 10917 VR2AR-546585     -5.623995     56.37436             75
+#> 10918  VR2W-108160     -5.631733     56.37447             50
+#> 10919  VR2W-108160     -5.631733     56.37447             50
+#> 10920  VR2W-108160     -5.631733     56.37447             50
+#> 10921 VR2AR-546134     -5.643867     56.38278            145
+#> 10922 VR2AR-546134     -5.643867     56.38278            145
+#> 10923 VR2AR-546134     -5.643867     56.38278            145
+#> 10924 VR2AR-546134     -5.643867     56.38278            145
+#> 10925 VR2AR-546134     -5.643867     56.38278            145
+#> 10926 VR2AR-546134     -5.643867     56.38278            145
+#> 10927 VR2AR-546134     -5.643867     56.38278            145
+#> 10928 VR2AR-546134     -5.643867     56.38278            145
+#> 10929 VR2AR-546134     -5.643867     56.38278            145
+#> 10930 VR2AR-546134     -5.643867     56.38278            145
+#> 10931 VR2AR-546134     -5.643867     56.38278            145
+#> 10932 VR2AR-546134     -5.643867     56.38278            145
+#> 10933 VR2AR-546134     -5.643867     56.38278            145
+#> 10934 VR2AR-546134     -5.643867     56.38278            145
+#> 10935 VR2AR-546134     -5.643867     56.38278            145
+#> 10936 VR2AR-546135     -5.657067     56.38803             85
+#> 10937 VR2AR-546135     -5.657067     56.38803             85
+#> 10938 VR2AR-546135     -5.657067     56.38803             85
+#> 10939 VR2AR-546135     -5.657067     56.38803             85
+#> 10940 VR2AR-546135     -5.657067     56.38803             85
+#> 10941 VR2AR-546135     -5.657067     56.38803             85
+#> 10942 VR2AR-546135     -5.657067     56.38803             85
+#> 10943 VR2AR-546135     -5.657067     56.38803             85
+#> 10944 VR2AR-546135     -5.657067     56.38803             85
+#> 10945 VR2AR-546135     -5.657067     56.38803             85
+#> 10946 VR2AR-546135     -5.657067     56.38803             85
+#> 10947 VR2AR-546135     -5.657067     56.38803             85
+#> 10948 VR2AR-546135     -5.657067     56.38803             85
+#> 10949 VR2AR-546135     -5.657067     56.38803             85
+#> 10950 VR2AR-546135     -5.657067     56.38803             85
+#> 10951 VR2AR-546135     -5.657067     56.38803             85
+#> 10952 VR2AR-546135     -5.657067     56.38803             85
+#> 10953 VR2AR-546380     -5.637917     56.44800             25
+#> 10954 VR2AR-546380     -5.637917     56.44800             25
+#> 10955 VR2AR-546380     -5.637917     56.44800             25
+#> 10956 VR2AR-546380     -5.637917     56.44800             25
+#> 10957 VR2AR-546380     -5.637917     56.44800             25
+#> 10958 VR2AR-546380     -5.637917     56.44800             25
+#> 10959 VR2AR-546380     -5.637917     56.44800             25
+#> 10960 VR2AR-546380     -5.637917     56.44800             25
+#> 10961 VR2AR-546380     -5.637917     56.44800             25
+#> 10962 VR2AR-546380     -5.637917     56.44800             25
+#> 10963 VR2AR-546380     -5.637917     56.44800             25
+#> 10964 VR2AR-546380     -5.637917     56.44800             25
+#> 10965 VR2AR-546380     -5.637917     56.44800             25
+#> 10966 VR2AR-546380     -5.637917     56.44800             25
+#> 10967 VR2AR-546380     -5.637917     56.44800             25
+#> 10968 VR2AR-546380     -5.637917     56.44800             25
+#> 10969 VR2AR-546380     -5.637917     56.44800             25
+#> 10970 VR2AR-546380     -5.637917     56.44800             25
+#> 10971 VR2AR-546380     -5.637917     56.44800             25
+#> 10972 VR2AR-546380     -5.637917     56.44800             25
+#> 10973 VR2AR-546380     -5.637917     56.44800             25
+#> 10974 VR2AR-546380     -5.637917     56.44800             25
+#> 10975 VR2AR-546380     -5.637917     56.44800             25
+#> 10976 VR2AR-546380     -5.637917     56.44800             25
+#> 10977 VR2AR-546380     -5.637917     56.44800             25
+#> 10978 VR2AR-546380     -5.637917     56.44800             25
+#> 10979 VR2AR-546380     -5.637917     56.44800             25
+#> 10980 VR2AR-546380     -5.637917     56.44800             25
+#> 10981 VR2AR-546380     -5.637917     56.44800             25
+#> 10982 VR2AR-546380     -5.637917     56.44800             25
+#> 10983 VR2AR-546131     -5.612700     56.37988             35
+#> 10984 VR2AR-546131     -5.612700     56.37988             35
+#> 10985 VR2AR-546131     -5.612700     56.37988             35
+#> 10986 VR2AR-546131     -5.612700     56.37988             35
+#> 10987 VR2AR-546131     -5.612700     56.37988             35
+#> 10988 VR2AR-546131     -5.612700     56.37988             35
+#> 10989 VR2AR-546131     -5.612700     56.37988             35
+#> 10990 VR2AR-546131     -5.612700     56.37988             35
+#> 10991 VR2AR-546131     -5.612700     56.37988             35
+#> 10992 VR2AR-546131     -5.612700     56.37988             35
+#> 10993 VR2AR-546131     -5.612700     56.37988             35
+#> 10994 VR2AR-546131     -5.612700     56.37988             35
+#> 10995 VR2AR-546584     -5.604973     56.37774             30
+#> 10996 VR2AR-546131     -5.612700     56.37988             35
+#> 10997 VR2AR-546131     -5.612700     56.37988             35
+#> 10998 VR2AR-546584     -5.604973     56.37774             30
+#> 10999 VR2AR-546131     -5.612700     56.37988             35
+#> 11000 VR2AR-546131     -5.612700     56.37988             35
+#> 11001 VR2AR-546131     -5.612700     56.37988             35
+#> 11002 VR2AR-546584     -5.604973     56.37774             30
+#> 11003 VR2AR-546131     -5.612700     56.37988             35
+#> 11004 VR2AR-546584     -5.604973     56.37774             30
+#> 11005 VR2AR-546131     -5.612700     56.37988             35
+#> 11006 VR2AR-546131     -5.612700     56.37988             35
+#> 11007 VR2AR-546131     -5.612700     56.37988             35
+#> 11008 VR2AR-546131     -5.612700     56.37988             35
+#> 11009 VR2AR-546131     -5.612700     56.37988             35
+#> 11010 VR2AR-546131     -5.612700     56.37988             35
+#> 11011 VR2AR-546131     -5.612700     56.37988             35
+#> 11012 VR2AR-546131     -5.612700     56.37988             35
+#> 11013 VR2AR-546131     -5.612700     56.37988             35
+#> 11014 VR2AR-546131     -5.612700     56.37988             35
+#> 11015 VR2AR-546131     -5.612700     56.37988             35
+#> 11016 VR2AR-546131     -5.612700     56.37988             35
+#> 11017 VR2AR-546131     -5.612700     56.37988             35
+#> 11018 VR2AR-546131     -5.612700     56.37988             35
+#> 11019 VR2AR-546131     -5.612700     56.37988             35
+#> 11020 VR2AR-546131     -5.612700     56.37988             35
+#> 11021 VR2AR-546131     -5.612700     56.37988             35
+#> 11022 VR2AR-546131     -5.612700     56.37988             35
+#> 11023 VR2AR-546131     -5.612700     56.37988             35
+#> 11024 VR2AR-546131     -5.612700     56.37988             35
+#> 11025 VR2AR-546131     -5.612700     56.37988             35
+#> 11026 VR2AR-546131     -5.612700     56.37988             35
+#> 11027 VR2AR-546131     -5.612700     56.37988             35
+#> 11028 VR2AR-546131     -5.612700     56.37988             35
+#> 11029 VR2AR-546131     -5.612700     56.37988             35
+#> 11030 VR2AR-546131     -5.612700     56.37988             35
+#> 11031 VR2AR-546131     -5.612700     56.37988             35
+#> 11032 VR2AR-546131     -5.612700     56.37988             35
+#> 11033 VR2AR-546131     -5.612700     56.37988             35
+#> 11034 VR2AR-546131     -5.612700     56.37988             35
+#> 11035 VR2AR-546131     -5.612700     56.37988             35
+#> 11036 VR2AR-546131     -5.612700     56.37988             35
+#> 11037 VR2AR-546131     -5.612700     56.37988             35
+#> 11038 VR2AR-546131     -5.612700     56.37988             35
+#> 11039 VR2AR-546131     -5.612700     56.37988             35
+#> 11040 VR2AR-546131     -5.612700     56.37988             35
+#> 11041 VR2AR-546131     -5.612700     56.37988             35
+#> 11042 VR2AR-546131     -5.612700     56.37988             35
+#> 11043 VR2AR-546131     -5.612700     56.37988             35
+#> 11044 VR2AR-546131     -5.612700     56.37988             35
+#> 11045 VR2AR-546131     -5.612700     56.37988             35
+#> 11046 VR2AR-546131     -5.612700     56.37988             35
+#> 11047 VR2AR-546131     -5.612700     56.37988             35
+#> 11048 VR2AR-546131     -5.612700     56.37988             35
+#> 11049 VR2AR-546131     -5.612700     56.37988             35
+#> 11050 VR2AR-546131     -5.612700     56.37988             35
+#> 11051 VR2AR-546131     -5.612700     56.37988             35
+#> 11052 VR2AR-546131     -5.612700     56.37988             35
+#> 11053 VR2AR-546131     -5.612700     56.37988             35
+#> 11054 VR2AR-546131     -5.612700     56.37988             35
+#> 11055 VR2AR-546131     -5.612700     56.37988             35
+#> 11056 VR2AR-546131     -5.612700     56.37988             35
+#> 11057 VR2AR-546131     -5.612700     56.37988             35
+#> 11058 VR2AR-546131     -5.612700     56.37988             35
+#> 11059 VR2AR-546131     -5.612700     56.37988             35
+#> 11060 VR2AR-546131     -5.612700     56.37988             35
+#> 11061 VR2AR-546131     -5.612700     56.37988             35
+#> 11062 VR2AR-546131     -5.612700     56.37988             35
+#> 11063 VR2AR-546131     -5.612700     56.37988             35
+#> 11064 VR2AR-546131     -5.612700     56.37988             35
+#> 11065 VR2AR-546131     -5.612700     56.37988             35
+#> 11066 VR2AR-546131     -5.612700     56.37988             35
+#> 11067 VR2AR-546131     -5.612700     56.37988             35
+#> 11068 VR2AR-546131     -5.612700     56.37988             35
+#> 11069 VR2AR-546131     -5.612700     56.37988             35
+#> 11070 VR2AR-546131     -5.612700     56.37988             35
+#> 11071 VR2AR-546131     -5.612700     56.37988             35
+#> 11072 VR2AR-546131     -5.612700     56.37988             35
+#> 11073 VR2AR-546131     -5.612700     56.37988             35
+#> 11074 VR2AR-546131     -5.612700     56.37988             35
+#> 11075 VR2AR-546131     -5.612700     56.37988             35
+#> 11076 VR2AR-546131     -5.612700     56.37988             35
+#> 11077 VR2AR-546131     -5.612700     56.37988             35
+#> 11078 VR2AR-546131     -5.612700     56.37988             35
+#> 11079 VR2AR-546131     -5.612700     56.37988             35
+#> 11080 VR2AR-546131     -5.612700     56.37988             35
+#> 11081 VR2AR-546131     -5.612700     56.37988             35
+#> 11082 VR2AR-546131     -5.612700     56.37988             35
+#> 11083 VR2AR-546131     -5.612700     56.37988             35
+#> 11084 VR2AR-546131     -5.612700     56.37988             35
+#> 11085 VR2AR-546131     -5.612700     56.37988             35
+#> 11086 VR2AR-546131     -5.612700     56.37988             35
+#> 11087 VR2AR-546131     -5.612700     56.37988             35
+#> 11088 VR2AR-546131     -5.612700     56.37988             35
+#> 11089 VR2AR-546131     -5.612700     56.37988             35
+#> 11090 VR2AR-546131     -5.612700     56.37988             35
+#> 11091 VR2AR-546131     -5.612700     56.37988             35
+#> 11092 VR2AR-546584     -5.604973     56.37774             30
+#> 11093 VR2AR-546131     -5.612700     56.37988             35
+#> 11094 VR2AR-546131     -5.612700     56.37988             35
+#> 11095 VR2AR-546131     -5.612700     56.37988             35
+#> 11096 VR2AR-546584     -5.604973     56.37774             30
+#> 11097 VR2AR-546131     -5.612700     56.37988             35
+#> 11098 VR2AR-546131     -5.612700     56.37988             35
+#> 11099 VR2AR-546584     -5.604973     56.37774             30
+#> 11100 VR2AR-546584     -5.604973     56.37774             30
+#> 11101 VR2AR-546131     -5.612700     56.37988             35
+#> 11102 VR2AR-546584     -5.604973     56.37774             30
+#> 11103 VR2AR-546584     -5.604973     56.37774             30
+#> 11104 VR2AR-546131     -5.612700     56.37988             35
+#> 11105 VR2AR-546584     -5.604973     56.37774             30
+#> 11106 VR2AR-546584     -5.604973     56.37774             30
+#> 11107 VR2AR-546131     -5.612700     56.37988             35
+#> 11108 VR2AR-546131     -5.612700     56.37988             35
+#> 11109 VR2AR-546131     -5.612700     56.37988             35
+#> 11110 VR2AR-546584     -5.604973     56.37774             30
+#> 11111 VR2AR-546131     -5.612700     56.37988             35
+#>  [ reached 'max' / getOption("max.print") -- omitted 1897 rows ]
+#> 
+#> [[2]]$args$delta_t
+#> [1] "12 hours"
+#> 
+#> 
+#> 
+#> [[3]]
+#> [[3]]$data
+#> [[3]]$data$m1_i1
+#> NULL
+#> 
+#> [[3]]$data$m1_i2
+#>    pc_receiver_with_detections   pc_of_ts
+#> 1                     0.000000 42.6303855
+#> 2                     4.347826  7.4829932
+#> 3                     4.545455  3.1746032
+#> 4                     4.761905  0.6802721
+#> 5                     5.000000  4.3083900
+#> 6                     5.555556  9.0702948
+#> 7                     5.882353  6.1224490
+#> 8                     6.250000  0.9070295
+#> 9                     7.142857  1.1337868
+#> 10                    8.333333  0.4535147
+#> 11                    8.695652  2.2675737
+#> 12                    9.090909  1.1337868
+#> 13                   10.000000  4.3083900
+#> 14                   11.111111  2.4943311
+#> 15                   11.764706  4.5351474
+#> 16                   12.500000  0.4535147
+#> 17                   13.043478  0.4535147
+#> 18                   14.285714  1.3605442
+#> 19                   15.000000  1.3605442
+#> 20                   16.666667  0.9070295
+#> 21                   17.391304  0.2267574
+#> 22                   17.647059  0.9070295
+#> 23                   18.750000  0.4535147
+#> 24                   20.000000  1.5873016
+#> 25                   23.529412  0.6802721
+#> 26                   25.000000  0.2267574
+#> 27                   27.777778  0.2267574
+#> 28                   29.411765  0.2267574
+#> 29                   30.000000  0.2267574
+#> 30                   35.000000  0.2267574
+#> 
+#> [[3]]$data$m2_i1
+#> NULL
+#> 
+#> [[3]]$data$m2_i2
+#>     pc_detections_per_receiver   pc_of_ts
+#> 1                   0.00000000 42.4036281
+#> 2                   0.04347826  0.2267574
+#> 3                   0.05555556  0.2267574
+#> 4                   0.10000000  1.1337868
+#> 5                   0.11111111  0.2267574
+#> 6                   0.11764706  0.6802721
+#> 7                   0.12500000  0.2267574
+#> 8                   0.16666667  0.4535147
+#> 9                   0.17391304  0.4535147
+#> 10                  0.17647059  0.4535147
+#> 11                  0.19047619  0.2267574
+#> 12                  0.21739130  0.2267574
+#> 13                  0.23529412  0.4535147
+#> 14                  0.25000000  0.2267574
+#> 15                  0.27777778  0.6802721
+#> 16                  0.29411765  0.4535147
+#> 17                  0.30000000  0.6802721
+#> 18                  0.30434783  0.2267574
+#> 19                  0.31818182  0.2267574
+#> 20                  0.33333333  0.4535147
+#> 21                  0.34782609  0.2267574
+#> 22                  0.35000000  0.2267574
+#> 23                  0.35294118  0.4535147
+#> 24                  0.37500000  0.2267574
+#> 25                  0.39130435  0.2267574
+#> 26                  0.40000000  0.2267574
+#> 27                  0.40909091  0.2267574
+#> 28                  0.41666667  0.2267574
+#> 29                  0.42857143  0.2267574
+#> 30                  0.44444444  0.6802721
+#> 31                  0.45000000  0.4535147
+#> 32                  0.45454545  0.2267574
+#> 33                  0.50000000  1.1337868
+#> 34                  0.52173913  0.6802721
+#> 35                  0.52941176  0.4535147
+#> 36                  0.55555556  0.9070295
+#> 37                  0.59090909  0.2267574
+#> 38                  0.60869565  0.4535147
+#> 39                  0.61111111  0.4535147
+#> 40                  0.63636364  0.2267574
+#> 41                  0.64705882  0.2267574
+#> 42                  0.65000000  0.4535147
+#> 43                  0.65217391  0.4535147
+#> 44                  0.66666667  0.2267574
+#> 45                  0.73913043  0.4535147
+#> 46                  0.75000000  0.2267574
+#> 47                  0.77272727  0.2267574
+#> 48                  0.78260870  0.4535147
+#> 49                  0.78571429  0.4535147
+#> 50                  0.81818182  0.2267574
+#> 51                  0.82352941  0.4535147
+#> 52                  0.82608696  0.2267574
+#> 53                  0.83333333  0.2267574
+#> 54                  0.85714286  0.2267574
+#> 55                  0.86363636  0.2267574
+#> 56                  0.86956522  0.2267574
+#> 57                  0.87500000  0.2267574
+#> 58                  0.90909091  0.2267574
+#> 59                  0.91304348  0.2267574
+#> 60                  0.94444444  0.4535147
+#> 61                  0.95652174  0.2267574
+#> 62                  1.00000000  0.4535147
+#> 63                  1.04347826  0.6802721
+#> 64                  1.05000000  0.2267574
+#> 65                  1.05555556  0.2267574
+#> 66                  1.06250000  0.2267574
+#> 67                  1.10000000  0.2267574
+#> 68                  1.11764706  0.2267574
+#> 69                  1.17391304  0.2267574
+#> 70                  1.17647059  0.4535147
+#> 71                  1.20000000  0.4535147
+#> 72                  1.21739130  0.2267574
+#> 73                  1.22222222  0.4535147
+#> 74                  1.22727273  0.2267574
+#> 75                  1.23529412  0.2267574
+#> 76                  1.25000000  0.2267574
+#> 77                  1.26086957  0.2267574
+#> 78                  1.27272727  0.2267574
+#> 79                  1.27777778  0.2267574
+#> 80                  1.29411765  0.2267574
+#> 81                  1.30434783  0.4535147
+#> 82                  1.33333333  0.4535147
+#> 83                  1.35294118  0.4535147
+#> 84                  1.38888889  0.4535147
+#> 85                  1.47058824  0.2267574
+#> 86                  1.47826087  0.2267574
+#> 87                  1.50000000  0.4535147
+#> 88                  1.52173913  0.2267574
+#> 89                  1.55555556  0.4535147
+#> 90                  1.60000000  0.2267574
+#> 91                  1.61111111  0.2267574
+#> 92                  1.66666667  0.2267574
+#> 93                  1.70588235  0.2267574
+#> 94                  1.75000000  0.2267574
+#> 95                  1.76470588  0.2267574
+#> 96                  1.78260870  0.4535147
+#> 97                  1.82608696  0.2267574
+#> 98                  1.88235294  0.2267574
+#> 99                  1.92857143  0.2267574
+#> 100                 1.94117647  0.2267574
+#> 101                 1.94444444  0.2267574
+#> 102                 1.95454545  0.4535147
+#> 103                 2.00000000  0.2267574
+#> 104                 2.04545455  0.2267574
+#> 105                 2.05000000  0.2267574
+#> 106                 2.07142857  0.2267574
+#> 107                 2.11764706  0.6802721
+#> 108                 2.14285714  0.2267574
+#> 109                 2.15000000  0.2267574
+#> 110                 2.20000000  0.2267574
+#> 111                 2.21739130  0.2267574
+#> 112                 2.26086957  0.2267574
+#> 113                 2.27272727  0.2267574
+#> 114                 2.27777778  0.2267574
+#> 115                 2.29411765  0.2267574
+#> 116                 2.30434783  0.2267574
+#> 117                 2.35000000  0.2267574
+#> 118                 2.38888889  0.2267574
+#> 119                 2.39130435  0.2267574
+#> 120                 2.45000000  0.2267574
+#> 121                 2.45454545  0.2267574
+#> 122                 2.50000000  0.2267574
+#> 123                 2.65000000  0.2267574
+#> 124                 2.66666667  0.2267574
+#> 125                 2.68750000  0.2267574
+#> 126                 2.70000000  0.2267574
+#> 127                 2.70588235  0.2267574
+#> 128                 2.80000000  0.2267574
+#> 129                 2.82352941  0.2267574
+#> 130                 2.83333333  0.2267574
+#> 131                 2.86956522  0.2267574
+#> 132                 2.88888889  0.2267574
+#> 133                 2.94444444  0.2267574
+#> 134                 2.95454545  0.2267574
+#> 135                 3.00000000  0.2267574
+#> 136                 3.12500000  0.2267574
+#> 137                 3.17647059  0.2267574
+#> 138                 3.21739130  0.2267574
+#> 139                 3.23529412  0.2267574
+#> 140                 3.33333333  0.2267574
+#> 141                 3.35000000  0.2267574
+#> 142                 3.35294118  0.2267574
+#> 143                 3.38095238  0.2267574
+#> 144                 3.47058824  0.2267574
+#> 145                 3.47826087  0.2267574
+#> 146                 3.52941176  0.2267574
+#> 147                 3.64705882  0.2267574
+#> 148                 3.72222222  0.2267574
+#> 149                 3.77777778  0.2267574
+#> 150                 3.88235294  0.2267574
+#> 151                 4.00000000  0.6802721
+#> 152                 4.05000000  0.2267574
+#> 153                 4.05882353  0.2267574
+#> 154                 4.17647059  0.2267574
+#> 155                 4.27777778  0.2267574
+#> 156                 4.55555556  0.2267574
+#> 157                 4.64285714  0.2267574
+#> 158                 4.75000000  0.2267574
+#> 159                 4.86956522  0.2267574
+#> 160                 4.94117647  0.2267574
+#> 161                 5.07142857  0.2267574
+#> 162                 5.47058824  0.4535147
+#> 163                 5.61111111  0.2267574
+#> 164                 5.65000000  0.2267574
+#> 165                 5.66666667  0.2267574
+#> 166                 5.76470588  0.4535147
+#> 167                 6.30000000  0.2267574
+#> 168                 6.33333333  0.2267574
+#> 169                 6.34782609  0.2267574
+#> 170                 6.43478261  0.2267574
+#> 171                 6.45000000  0.2267574
+#> 172                 6.80000000  0.4535147
+#> 173                 7.00000000  0.2267574
+#> 174                 7.16666667  0.2267574
+#> 175                 7.20000000  0.2267574
+#> 176                 7.25000000  0.2267574
+#> 177                 8.00000000  0.2267574
+#> 178                 8.05555556  0.2267574
+#> 179                 9.05000000  0.2267574
+#> 180                 9.40000000  0.2267574
+#> 181                 9.64705882  0.2267574
+#> 182                10.20000000  0.2267574
+#> 183                11.05000000  0.2267574
+#> 184                11.57142857  0.2267574
+#> 185                11.94117647  0.2267574
+#> 186                14.62500000  0.2267574
+#> 187                14.77777778  0.2267574
+#> 188                14.80000000  0.2267574
+#> 189                15.06250000  0.2267574
+#> 190                15.29411765  0.2267574
+#> 191                16.14285714  0.2267574
+#> 192                18.55000000  0.2267574
+#> 193                19.22222222  0.2267574
+#> 194                24.05555556  0.2267574
+#> 195                24.35000000  0.2267574
+#> 
+#> 
+#> [[3]]$args
+#> [[3]]$args$acoustics
+#>       individual_id transmitter_id index           timestamp receiver_id
+#> 1                25   A69-1303-555     1 2016-03-17 01:50:00          26
+#> 2                25   A69-1303-555     2 2016-03-17 01:52:00          26
+#> 3                25   A69-1303-555     4 2016-03-17 01:54:00          26
+#> 4                25   A69-1303-555     5 2016-03-17 01:58:00          26
+#> 5                25   A69-1303-555     7 2016-03-17 02:00:00          26
+#> 6                25   A69-1303-555     8 2016-03-17 02:04:00          26
+#> 7                25   A69-1303-555     9 2016-03-17 02:06:00          26
+#> 8                25   A69-1303-555    10 2016-03-17 02:08:00          26
+#> 9                25   A69-1303-555    12 2016-03-17 02:10:00          26
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+#> 1827             25   A69-1303-555  2888 2016-06-03 18:24:00          14
+#> 1828             25   A69-1303-555  2889 2016-06-03 18:26:00          14
+#> 1829             25   A69-1303-555  2891 2016-06-03 18:28:00          14
+#> 1830             25   A69-1303-555  2893 2016-06-03 18:30:00          14
+#> 1831             25   A69-1303-555  2895 2016-06-03 18:32:00          14
+#> 1832             25   A69-1303-555  2897 2016-06-03 18:34:00          14
+#> 1833             25   A69-1303-555  2898 2016-06-03 18:36:00          14
+#> 1834             25   A69-1303-555  2899 2016-06-03 18:38:00          14
+#> 1835             25   A69-1303-555  2900 2016-06-03 18:40:00          14
+#> 1836             25   A69-1303-555  2901 2016-06-03 18:42:00          14
+#> 1837             25   A69-1303-555  2904 2016-06-03 18:44:00          14
+#> 1838             25   A69-1303-555  2905 2016-06-03 18:48:00          14
+#> 1839             25   A69-1303-555  2906 2016-06-03 18:50:00          14
+#> 1840             25   A69-1303-555  2907 2016-06-03 18:56:00          14
+#> 1841             25   A69-1303-555  2908 2016-06-03 18:58:00          14
+#> 1842             25   A69-1303-555  2909 2016-06-03 19:02:00          14
+#> 1843             25   A69-1303-555  2910 2016-06-03 19:04:00          14
+#> 1844             25   A69-1303-555  2912 2016-06-03 19:06:00          14
+#> 1845             25   A69-1303-555  2913 2016-06-03 19:08:00          14
+#> 1846             25   A69-1303-555  2915 2016-06-03 19:10:00          14
+#> 1847             25   A69-1303-555  2917 2016-06-03 19:12:00          14
+#> 1848             25   A69-1303-555  2919 2016-06-03 19:14:00          14
+#> 1849             25   A69-1303-555  2921 2016-06-03 19:16:00          14
+#> 1850             25   A69-1303-555  2922 2016-06-03 19:18:00          14
+#> 1851             25   A69-1303-555  2925 2016-06-03 19:20:00          14
+#> 1852             25   A69-1303-555  2926 2016-06-03 19:22:00          14
+#> 1853             25   A69-1303-555  2927 2016-06-03 19:24:00          14
+#> 1854             25   A69-1303-555  2929 2016-06-03 19:26:00          14
+#> 1855             25   A69-1303-555  2932 2016-06-03 19:28:00          14
+#> 1856             25   A69-1303-555  2935 2016-06-03 19:30:00          14
+#> 1857             25   A69-1303-555  2937 2016-06-03 19:32:00          14
+#> 1858             25   A69-1303-555  2940 2016-06-04 00:40:00          14
+#> 1859             25   A69-1303-555  2941 2016-06-04 00:42:00          14
+#> 1860             25   A69-1303-555  2942 2016-06-04 00:46:00          14
+#> 1861             25   A69-1303-555  2943 2016-06-04 00:48:00          14
+#> 1862             25   A69-1303-555  2944 2016-06-04 01:00:00          14
+#> 1863             25   A69-1303-555  2945 2016-06-04 01:04:00          14
+#> 1864             25   A69-1303-555  2946 2016-06-04 01:10:00          14
+#> 1865             25   A69-1303-555  2947 2016-06-04 01:12:00          14
+#> 1866             25   A69-1303-555  2948 2016-06-04 01:14:00          14
+#> 1867             25   A69-1303-555  2949 2016-06-04 01:16:00          14
+#> 1868             25   A69-1303-555  2951 2016-06-04 01:18:00          14
+#> 1869             25   A69-1303-555  2952 2016-06-04 01:20:00          14
+#> 1870             25   A69-1303-555  2954 2016-06-04 01:22:00          14
+#> 1871             25   A69-1303-555  2956 2016-06-04 01:24:00          14
+#> 1872             25   A69-1303-555  2957 2016-06-04 01:26:00          14
+#> 1873             25   A69-1303-555  2959 2016-06-04 01:28:00          14
+#> 1874             25   A69-1303-555  2962 2016-06-04 01:30:00          14
+#> 1875             25   A69-1303-555  2963 2016-06-04 01:32:00          14
+#> 1876             25   A69-1303-555  2966 2016-06-04 01:34:00          14
+#> 1877             25   A69-1303-555  2967 2016-06-04 01:36:00          14
+#> 1878             25   A69-1303-555  2968 2016-06-04 01:38:00          14
+#> 1879             25   A69-1303-555  2969 2016-06-04 01:40:00          14
+#> 1880             25   A69-1303-555  2970 2016-06-04 01:44:00          14
+#> 1881             25   A69-1303-555  2972 2016-06-04 01:48:00          14
+#> 1882             25   A69-1303-555  2974 2016-06-04 01:50:00          14
+#> 1883             25   A69-1303-555  2976 2016-06-04 01:54:00          14
+#> 1884             25   A69-1303-555  2978 2016-06-04 01:56:00          14
+#> 1885             25   A69-1303-555  2980 2016-06-04 01:58:00          14
+#> 1886             25   A69-1303-555  2981 2016-06-04 02:00:00          14
+#> 1887             25   A69-1303-555  2983 2016-06-04 02:02:00          14
+#> 1888             25   A69-1303-555  2984 2016-06-04 02:04:00          14
+#> 1889             25   A69-1303-555  2986 2016-06-04 02:06:00          14
+#> 1890             25   A69-1303-555  2988 2016-06-04 02:08:00          14
+#> 1891             25   A69-1303-555  2990 2016-06-04 02:10:00          14
+#> 1892             25   A69-1303-555  2992 2016-06-04 02:12:00          14
+#> 1893             25   A69-1303-555  2994 2016-06-04 02:18:00          14
+#> 1894             25   A69-1303-555  2996 2016-06-04 02:20:00          14
+#> 1895             25   A69-1303-555  2997 2016-06-04 02:22:00          14
+#> 1896             25   A69-1303-555  3000 2016-06-04 02:24:00          14
+#> 1897             25   A69-1303-555  3002 2016-06-04 02:26:00          14
+#> 1898             25   A69-1303-555  3004 2016-06-04 02:28:00          14
+#> 1899             25   A69-1303-555  3005 2016-06-04 02:34:00          14
+#> 1900             25   A69-1303-555  3006 2016-06-04 02:36:00          14
+#> 1901             25   A69-1303-555  3007 2016-06-04 03:12:00          14
+#> 1902             25   A69-1303-555  3009 2016-06-04 03:14:00          14
+#> 1903             25   A69-1303-555  3011 2016-06-04 03:16:00          14
+#> 1904             25   A69-1303-555  3012 2016-06-04 03:18:00          14
+#> 1905             25   A69-1303-555  3013 2016-06-04 03:22:00          14
+#> 1906             25   A69-1303-555  3014 2016-06-04 03:26:00          14
+#> 1907             25   A69-1303-555  3016 2016-06-04 03:28:00          14
+#> 1908             25   A69-1303-555  3017 2016-06-04 03:30:00          14
+#> 1909             25   A69-1303-555  3018 2016-06-04 03:56:00          14
+#> 1910             25   A69-1303-555  3019 2016-06-04 03:58:00          14
+#> 1911             25   A69-1303-555  3021 2016-06-04 04:00:00          14
+#> 1912             25   A69-1303-555  3022 2016-06-04 04:02:00          14
+#> 1913             25   A69-1303-555  3023 2016-06-04 04:04:00          14
+#> 1914             25   A69-1303-555  3025 2016-06-04 04:06:00          14
+#> 1915             25   A69-1303-555  3027 2016-06-04 04:08:00          14
+#> 1916             25   A69-1303-555  3029 2016-06-04 04:10:00          14
+#> 1917             25   A69-1303-555  3030 2016-06-04 04:12:00          14
+#> 1918             25   A69-1303-555  3031 2016-06-04 04:16:00          14
+#> 1919             25   A69-1303-555  3034 2016-06-04 04:24:00          14
+#> 1920             25   A69-1303-555  3035 2016-06-04 04:26:00          14
+#> 1921             25   A69-1303-555  3037 2016-06-04 04:28:00          14
+#> 1922             25   A69-1303-555  3038 2016-06-04 04:32:00          14
+#> 1923             25   A69-1303-555  3039 2016-06-04 04:34:00          14
+#> 1924             25   A69-1303-555  3040 2016-06-04 04:38:00          14
+#> 1925             25   A69-1303-555  3042 2016-06-04 04:40:00          14
+#> 1926             25   A69-1303-555  3044 2016-06-04 04:42:00          14
+#> 1927             25   A69-1303-555  3045 2016-06-04 04:44:00          14
+#> 1928             25   A69-1303-555  3047 2016-06-04 04:46:00          14
+#> 1929             25   A69-1303-555  3049 2016-06-04 04:48:00          14
+#> 1930             25   A69-1303-555  3050 2016-06-04 04:50:00          14
+#> 1931             25   A69-1303-555  3052 2016-06-04 04:52:00          14
+#> 1932             25   A69-1303-555  3054 2016-06-04 04:54:00          14
+#> 1933             25   A69-1303-555  3055 2016-06-04 04:56:00          14
+#> 1934             25   A69-1303-555  3057 2016-06-04 04:58:00          14
+#> 1935             25   A69-1303-555  3059 2016-06-04 05:00:00          14
+#> 1936             25   A69-1303-555  3061 2016-06-04 05:02:00          14
+#> 1937             25   A69-1303-555  3063 2016-06-04 05:04:00          14
+#> 1938             25   A69-1303-555  3065 2016-06-04 05:08:00          14
+#> 1939             25   A69-1303-555  3066 2016-06-04 05:16:00          14
+#> 1940             25   A69-1303-555  3068 2016-06-04 07:00:00          14
+#> 1941             25   A69-1303-555  3069 2016-06-04 07:04:00          14
+#> 1942             25   A69-1303-555  3071 2016-06-04 07:06:00          14
+#> 1943             25   A69-1303-555  3072 2016-06-04 07:10:00          14
+#> 1944             25   A69-1303-555  3075 2016-06-04 07:12:00          14
+#> 1945             25   A69-1303-555  3076 2016-06-04 07:14:00          14
+#> 1946             25   A69-1303-555  3078 2016-06-04 07:18:00          14
+#> 1947             25   A69-1303-555  3079 2016-06-04 10:26:00          14
+#> 1948             25   A69-1303-555  3080 2016-06-04 10:34:00          14
+#> 1949             25   A69-1303-555  3081 2016-06-04 10:40:00          14
+#> 1950             25   A69-1303-555  3082 2016-06-04 11:08:00          14
+#> 1951             25   A69-1303-555  3083 2016-06-04 11:10:00          14
+#> 1952             25   A69-1303-555  3084 2016-06-04 11:24:00          14
+#> 1953             25   A69-1303-555  3085 2016-06-04 11:38:00          14
+#> 1954             25   A69-1303-555  3086 2016-06-04 12:02:00          14
+#> 1955             25   A69-1303-555  3087 2016-06-04 18:46:00          14
+#> 1956             25   A69-1303-555  3088 2016-06-04 18:48:00          14
+#> 1957             25   A69-1303-555  3089 2016-06-04 19:14:00          14
+#> 1958             25   A69-1303-555  3090 2016-06-04 19:16:00          14
+#> 1959             25   A69-1303-555  3091 2016-06-07 09:50:00          14
+#> 1960             25   A69-1303-555  3092 2016-06-07 09:58:00          14
+#> 1961             25   A69-1303-555  3093 2016-06-07 10:08:00          14
+#> 1962             25   A69-1303-555  3094 2016-06-07 10:10:00          14
+#> 1963             25   A69-1303-555  3095 2016-06-07 10:14:00          14
+#> 1964             25   A69-1303-555  3096 2016-06-07 10:56:00          14
+#> 1965             25   A69-1303-555  3097 2016-06-07 10:58:00          14
+#> 1966             25   A69-1303-555  3098 2016-06-07 11:10:00          14
+#> 1967             25   A69-1303-555  3100 2016-06-07 11:14:00          14
+#> 1968             25   A69-1303-555  3103 2016-06-07 11:16:00          14
+#> 1969             25   A69-1303-555  3104 2016-06-07 11:22:00          14
+#> 1970             25   A69-1303-555  3105 2016-06-07 11:26:00          14
+#> 1971             25   A69-1303-555  3106 2016-06-07 11:28:00          14
+#> 1972             25   A69-1303-555  3108 2016-06-07 11:30:00          14
+#> 1973             25   A69-1303-555  3109 2016-06-07 11:32:00          14
+#> 1974             25   A69-1303-555  3111 2016-06-07 11:34:00          14
+#> 1975             25   A69-1303-555  3112 2016-06-07 11:36:00          14
+#> 1976             25   A69-1303-555  3113 2016-06-07 11:42:00          14
+#> 1977             25   A69-1303-555  3114 2016-06-07 11:44:00          14
+#> 1978             25   A69-1303-555  3115 2016-06-07 11:48:00          14
+#> 1979             25   A69-1303-555  3116 2016-06-07 11:52:00          14
+#> 1980             25   A69-1303-555  3117 2016-06-07 11:54:00          14
+#> 1981             25   A69-1303-555  3118 2016-06-07 12:04:00          14
+#> 1982             25   A69-1303-555  3119 2016-06-07 12:06:00          14
+#> 1983             25   A69-1303-555  3121 2016-06-07 12:14:00          14
+#> 1984             25   A69-1303-555  3122 2016-06-07 12:16:00          14
+#> 1985             25   A69-1303-555  3124 2016-06-07 12:18:00          14
+#> 1986             25   A69-1303-555  3125 2016-06-07 12:20:00          14
+#> 1987             25   A69-1303-555  3126 2016-06-07 12:24:00          14
+#> 1988             25   A69-1303-555  3127 2016-06-07 12:32:00          14
+#> 1989             25   A69-1303-555  3128 2016-06-07 12:36:00          14
+#> 1990             25   A69-1303-555  3130 2016-06-07 12:38:00          14
+#> 1991             25   A69-1303-555  3132 2016-06-07 12:40:00          14
+#> 1992             25   A69-1303-555  3133 2016-06-07 12:42:00          14
+#> 1993             25   A69-1303-555  3135 2016-06-07 12:46:00          14
+#> 1994             25   A69-1303-555  3136 2016-06-07 12:48:00          14
+#> 1995             25   A69-1303-555  3138 2016-06-07 12:50:00          14
+#> 1996             25   A69-1303-555  3140 2016-06-07 12:52:00          14
+#> 1997             25   A69-1303-555  3142 2016-06-07 12:54:00          14
+#> 1998             25   A69-1303-555  3144 2016-06-07 12:56:00          14
+#> 1999             25   A69-1303-555  3146 2016-06-07 12:58:00          14
+#> 2000             25   A69-1303-555  3149 2016-06-07 13:00:00          14
+#> 2001             25   A69-1303-555  3151 2016-06-07 13:02:00          14
+#> 2002             25   A69-1303-555  3153 2016-06-07 13:04:00          14
+#> 2003             25   A69-1303-555  3154 2016-06-07 13:06:00          14
+#> 2004             25   A69-1303-555  3156 2016-06-07 13:08:00          14
+#> 2005             25   A69-1303-555  3158 2016-06-07 13:10:00          14
+#> 2006             25   A69-1303-555  3159 2016-06-07 13:12:00          14
+#> 2007             25   A69-1303-555  3160 2016-06-07 13:14:00          14
+#> 2008             25   A69-1303-555  3162 2016-06-07 13:16:00          14
+#> 2009             25   A69-1303-555  3163 2016-06-07 13:28:00          14
+#> 2010             25   A69-1303-555  3164 2016-06-07 13:32:00          14
+#> 2011             25   A69-1303-555  3165 2016-06-07 13:40:00          14
+#> 2012             25   A69-1303-555  3167 2016-06-07 13:42:00          14
+#> 2013             25   A69-1303-555  3168 2016-06-07 13:44:00          14
+#> 2014             25   A69-1303-555  3169 2016-06-07 13:48:00          14
+#> 2015             25   A69-1303-555  3170 2016-06-07 13:50:00          14
+#> 2016             25   A69-1303-555  3171 2016-06-07 14:00:00          14
+#> 2017             25   A69-1303-555  3172 2016-06-07 14:02:00          14
+#> 2018             25   A69-1303-555  3173 2016-06-07 14:04:00          14
+#> 2019             25   A69-1303-555  3175 2016-06-07 14:06:00          14
+#> 2020             25   A69-1303-555  3177 2016-06-07 14:08:00          14
+#> 2021             25   A69-1303-555  3179 2016-06-07 14:10:00          14
+#> 2022             25   A69-1303-555  3180 2016-06-07 14:12:00          14
+#> 2023             25   A69-1303-555  3182 2016-06-07 14:14:00          14
+#> 2024             25   A69-1303-555  3184 2016-06-07 14:16:00          14
+#> 2025             25   A69-1303-555  3185 2016-06-07 14:18:00          14
+#> 2026             25   A69-1303-555  3187 2016-06-07 14:20:00          14
+#> 2027             25   A69-1303-555  3189 2016-06-07 14:22:00          14
+#> 2028             25   A69-1303-555  3191 2016-06-07 14:24:00          14
+#> 2029             25   A69-1303-555  3193 2016-06-07 14:26:00          14
+#> 2030             25   A69-1303-555  3195 2016-06-07 14:28:00          14
+#> 2031             25   A69-1303-555  3197 2016-06-07 14:30:00          14
+#> 2032             25   A69-1303-555  3198 2016-06-07 14:32:00          14
+#> 2033             25   A69-1303-555  3199 2016-06-07 14:36:00          14
+#> 2034             25   A69-1303-555  3201 2016-06-07 14:38:00          14
+#> 2035             25   A69-1303-555  3203 2016-06-07 14:40:00          14
+#> 2036             25   A69-1303-555  3205 2016-06-07 14:42:00          14
+#> 2037             25   A69-1303-555  3207 2016-06-07 14:44:00          14
+#> 2038             25   A69-1303-555  3209 2016-06-07 14:46:00          14
+#> 2039             25   A69-1303-555  3211 2016-06-07 14:48:00          14
+#> 2040             25   A69-1303-555  3212 2016-06-07 14:50:00          14
+#> 2041             25   A69-1303-555  3213 2016-06-07 14:52:00          14
+#> 2042             25   A69-1303-555  3214 2016-06-07 14:54:00          14
+#> 2043             25   A69-1303-555  3216 2016-06-07 14:56:00          14
+#> 2044             25   A69-1303-555  3218 2016-06-07 14:58:00          14
+#> 2045             25   A69-1303-555  3219 2016-06-07 15:00:00          14
+#> 2046             25   A69-1303-555  3221 2016-06-07 15:02:00          14
+#> 2047             25   A69-1303-555  3223 2016-06-07 15:04:00          14
+#> 2048             25   A69-1303-555  3225 2016-06-07 15:06:00          14
+#> 2049             25   A69-1303-555  3227 2016-06-07 15:08:00          14
+#> 2050             25   A69-1303-555  3228 2016-06-07 15:50:00          14
+#> 2051             25   A69-1303-555  3229 2016-06-07 15:54:00          14
+#> 2052             25   A69-1303-555  3230 2016-06-07 18:54:00          14
+#> 2053             25   A69-1303-555  3232 2016-06-07 18:56:00          14
+#> 2054             25   A69-1303-555  3233 2016-06-07 18:58:00          14
+#> 2055             25   A69-1303-555  3235 2016-06-07 19:00:00          14
+#> 2056             25   A69-1303-555  3237 2016-06-07 19:02:00          14
+#> 2057             25   A69-1303-555  3239 2016-06-07 19:04:00          14
+#> 2058             25   A69-1303-555  3240 2016-06-07 19:06:00          14
+#> 2059             25   A69-1303-555  3241 2016-06-07 19:08:00          14
+#> 2060             25   A69-1303-555  3243 2016-06-07 19:10:00          14
+#> 2061             25   A69-1303-555  3245 2016-06-07 19:12:00          14
+#> 2062             25   A69-1303-555  3246 2016-06-07 19:14:00          14
+#> 2063             25   A69-1303-555  3248 2016-06-07 19:16:00          14
+#> 2064             25   A69-1303-555  3249 2016-06-07 19:18:00          14
+#> 2065             25   A69-1303-555  3250 2016-06-07 19:20:00          14
+#> 2066             25   A69-1303-555  3251 2016-06-07 19:24:00          14
+#> 2067             25   A69-1303-555  3253 2016-06-07 19:26:00          14
+#> 2068             25   A69-1303-555  3254 2016-06-07 19:28:00          14
+#> 2069             25   A69-1303-555  3255 2016-06-07 19:30:00          14
+#> 2070             25   A69-1303-555  3256 2016-06-07 19:32:00          14
+#> 2071             25   A69-1303-555  3258 2016-06-07 19:34:00          14
+#> 2072             25   A69-1303-555  3259 2016-06-07 19:36:00          14
+#> 2073             25   A69-1303-555  3261 2016-06-07 19:38:00          14
+#> 2074             25   A69-1303-555  3263 2016-06-07 19:40:00          14
+#> 2075             25   A69-1303-555  3264 2016-06-07 19:42:00          14
+#> 2076             25   A69-1303-555  3266 2016-06-07 19:44:00          14
+#> 2077             25   A69-1303-555  3267 2016-06-07 19:46:00          14
+#> 2078             25   A69-1303-555  3269 2016-06-07 19:48:00          14
+#> 2079             25   A69-1303-555  3271 2016-06-07 20:06:00          14
+#> 2080             25   A69-1303-555  3272 2016-06-07 20:10:00          14
+#> 2081             25   A69-1303-555  3273 2016-06-07 20:12:00          14
+#> 2082             25   A69-1303-555  3274 2016-06-07 20:14:00          14
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+#> 2084             25   A69-1303-555  3278 2016-06-07 20:20:00          14
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+#> 11099            25   A69-1303-555 16981 2017-04-28 00:00:00          56
+#> 11100            25   A69-1303-555 16983 2017-04-28 00:02:00          56
+#> 11101            25   A69-1303-555 16984 2017-04-28 00:04:00          45
+#> 11102            25   A69-1303-555 16985 2017-04-28 00:06:00          56
+#> 11103            25   A69-1303-555 16986 2017-04-28 00:08:00          56
+#> 11104            25   A69-1303-555 16987 2017-04-28 00:10:00          45
+#> 11105            25   A69-1303-555 16988 2017-04-28 00:10:00          56
+#> 11106            25   A69-1303-555 16989 2017-04-28 00:12:00          56
+#> 11107            25   A69-1303-555 16990 2017-04-28 00:12:00          45
+#> 11108            25   A69-1303-555 16991 2017-04-28 00:14:00          45
+#> 11109            25   A69-1303-555 16992 2017-04-28 00:16:00          45
+#> 11110            25   A69-1303-555 16993 2017-04-28 00:16:00          56
+#> 11111            25   A69-1303-555 16995 2017-04-28 00:18:00          45
+#>           receiver receiver_long receiver_lat receiver_depth
+#> 1      VR2W-108163     -5.610733     56.37628             25
+#> 2      VR2W-108163     -5.610733     56.37628             25
+#> 3      VR2W-108163     -5.610733     56.37628             25
+#> 4      VR2W-108163     -5.610733     56.37628             25
+#> 5      VR2W-108163     -5.610733     56.37628             25
+#> 6      VR2W-108163     -5.610733     56.37628             25
+#> 7      VR2W-108163     -5.610733     56.37628             25
+#> 8      VR2W-108163     -5.610733     56.37628             25
+#> 9      VR2W-108163     -5.610733     56.37628             25
+#> 10     VR2W-108163     -5.610733     56.37628             25
+#> 11     VR2W-108163     -5.610733     56.37628             25
+#> 12     VR2W-108163     -5.610733     56.37628             25
+#> 13     VR2W-108163     -5.610733     56.37628             25
+#> 14     VR2W-108163     -5.610733     56.37628             25
+#> 15     VR2W-108163     -5.610733     56.37628             25
+#> 16     VR2W-108163     -5.610733     56.37628             25
+#> 17     VR2W-108163     -5.610733     56.37628             25
+#> 18     VR2W-108163     -5.610733     56.37628             25
+#> 19     VR2W-108158     -5.619533     56.37413             25
+#> 20     VR2W-108163     -5.610733     56.37628             25
+#> 21     VR2W-108163     -5.610733     56.37628             25
+#> 22     VR2W-108158     -5.619533     56.37413             25
+#> 23     VR2W-108158     -5.619533     56.37413             25
+#> 24     VR2W-108158     -5.619533     56.37413             25
+#> 25     VR2W-108158     -5.619533     56.37413             25
+#> 26     VR2W-108158     -5.619533     56.37413             25
+#> 27     VR2W-108158     -5.619533     56.37413             25
+#> 28     VR2W-108158     -5.619533     56.37413             25
+#> 29     VR2W-108158     -5.619533     56.37413             25
+#> 30     VR2W-108158     -5.619533     56.37413             25
+#> 31     VR2W-108158     -5.619533     56.37413             25
+#> 32     VR2W-108158     -5.619533     56.37413             25
+#> 33     VR2W-108158     -5.619533     56.37413             25
+#> 34     VR2W-108158     -5.619533     56.37413             25
+#> 35     VR2W-108158     -5.619533     56.37413             25
+#> 36     VR2W-108158     -5.619533     56.37413             25
+#> 37     VR2W-108158     -5.619533     56.37413             25
+#> 38     VR2W-108158     -5.619533     56.37413             25
+#> 39     VR2W-108158     -5.619533     56.37413             25
+#> 40     VR2W-108158     -5.619533     56.37413             25
+#> 41     VR2W-108158     -5.619533     56.37413             25
+#> 42     VR2W-108158     -5.619533     56.37413             25
+#> 43     VR2W-108163     -5.610733     56.37628             25
+#> 44     VR2W-108163     -5.610733     56.37628             25
+#> 45     VR2W-108163     -5.610733     56.37628             25
+#> 46     VR2W-108163     -5.610733     56.37628             25
+#> 47     VR2W-108163     -5.610733     56.37628             25
+#> 48     VR2W-108163     -5.610733     56.37628             25
+#> 49     VR2W-108163     -5.610733     56.37628             25
+#> 50     VR2W-108163     -5.610733     56.37628             25
+#> 51     VR2W-108163     -5.610733     56.37628             25
+#> 52     VR2W-108158     -5.619533     56.37413             25
+#> 53     VR2W-108158     -5.619533     56.37413             25
+#> 54     VR2W-108163     -5.610733     56.37628             25
+#> 55     VR2W-108163     -5.610733     56.37628             25
+#> 56     VR2W-108163     -5.610733     56.37628             25
+#> 57     VR2W-108163     -5.610733     56.37628             25
+#> 58     VR2W-108163     -5.610733     56.37628             25
+#> 59     VR2W-108163     -5.610733     56.37628             25
+#> 60     VR2W-108163     -5.610733     56.37628             25
+#> 61     VR2W-108163     -5.610733     56.37628             25
+#> 62     VR2W-108163     -5.610733     56.37628             25
+#> 63     VR2W-108163     -5.610733     56.37628             25
+#> 64     VR2W-108163     -5.610733     56.37628             25
+#> 65     VR2W-108163     -5.610733     56.37628             25
+#> 66     VR2W-108163     -5.610733     56.37628             25
+#> 67     VR2W-120722     -5.602283     56.37748             25
+#> 68     VR2W-108163     -5.610733     56.37628             25
+#> 69     VR2W-120722     -5.602283     56.37748             25
+#> 70     VR2W-108163     -5.610733     56.37628             25
+#> 71     VR2W-108163     -5.610733     56.37628             25
+#> 72     VR2W-108163     -5.610733     56.37628             25
+#> 73     VR2W-108163     -5.610733     56.37628             25
+#> 74     VR2W-108163     -5.610733     56.37628             25
+#> 75     VR2W-120722     -5.602283     56.37748             25
+#> 76     VR2W-108163     -5.610733     56.37628             25
+#> 77     VR2W-108163     -5.610733     56.37628             25
+#> 78     VR2W-108163     -5.610733     56.37628             25
+#> 79     VR2W-108163     -5.610733     56.37628             25
+#> 80     VR2W-108163     -5.610733     56.37628             25
+#> 81     VR2W-108163     -5.610733     56.37628             25
+#> 82     VR2W-108163     -5.610733     56.37628             25
+#> 83     VR2W-108163     -5.610733     56.37628             25
+#> 84     VR2W-108163     -5.610733     56.37628             25
+#> 85     VR2W-108163     -5.610733     56.37628             25
+#> 86     VR2W-108163     -5.610733     56.37628             25
+#> 87     VR2W-108163     -5.610733     56.37628             25
+#> 88     VR2W-108163     -5.610733     56.37628             25
+#> 89     VR2W-108163     -5.610733     56.37628             25
+#> 90     VR2W-108163     -5.610733     56.37628             25
+#> 91     VR2W-108163     -5.610733     56.37628             25
+#> 92     VR2W-108163     -5.610733     56.37628             25
+#> 93     VR2W-120722     -5.602283     56.37748             25
+#> 94     VR2W-108163     -5.610733     56.37628             25
+#> 95     VR2W-120722     -5.602283     56.37748             25
+#> 96     VR2W-120722     -5.602283     56.37748             25
+#> 97     VR2W-108163     -5.610733     56.37628             25
+#> 98     VR2W-120722     -5.602283     56.37748             25
+#> 99     VR2W-108163     -5.610733     56.37628             25
+#> 100    VR2W-108163     -5.610733     56.37628             25
+#> 101    VR2W-120722     -5.602283     56.37748             25
+#> 102    VR2W-108163     -5.610733     56.37628             25
+#> 103    VR2W-108163     -5.610733     56.37628             25
+#> 104    VR2W-108163     -5.610733     56.37628             25
+#> 105    VR2W-108163     -5.610733     56.37628             25
+#> 106    VR2W-108163     -5.610733     56.37628             25
+#> 107    VR2W-108163     -5.610733     56.37628             25
+#> 108    VR2W-108163     -5.610733     56.37628             25
+#> 109    VR2W-108163     -5.610733     56.37628             25
+#> 110    VR2W-108163     -5.610733     56.37628             25
+#> 111    VR2W-108163     -5.610733     56.37628             25
+#> 112    VR2W-108163     -5.610733     56.37628             25
+#> 113    VR2W-108163     -5.610733     56.37628             25
+#> 114    VR2W-108163     -5.610733     56.37628             25
+#> 115    VR2W-108163     -5.610733     56.37628             25
+#> 116    VR2W-108163     -5.610733     56.37628             25
+#> 117    VR2W-108163     -5.610733     56.37628             25
+#> 118    VR2W-108163     -5.610733     56.37628             25
+#> 119    VR2W-108163     -5.610733     56.37628             25
+#> 120    VR2W-108163     -5.610733     56.37628             25
+#> 121    VR2W-108163     -5.610733     56.37628             25
+#> 122    VR2W-108163     -5.610733     56.37628             25
+#> 123    VR2W-108163     -5.610733     56.37628             25
+#> 124    VR2W-108163     -5.610733     56.37628             25
+#> 125    VR2W-108163     -5.610733     56.37628             25
+#> 126    VR2W-108163     -5.610733     56.37628             25
+#> 127    VR2W-108163     -5.610733     56.37628             25
+#> 128    VR2W-108163     -5.610733     56.37628             25
+#> 129    VR2W-108163     -5.610733     56.37628             25
+#> 130    VR2W-108163     -5.610733     56.37628             25
+#> 131    VR2W-108163     -5.610733     56.37628             25
+#> 132    VR2W-108163     -5.610733     56.37628             25
+#> 133    VR2W-108163     -5.610733     56.37628             25
+#> 134    VR2W-108163     -5.610733     56.37628             25
+#> 135    VR2W-108163     -5.610733     56.37628             25
+#> 136    VR2W-108163     -5.610733     56.37628             25
+#> 137    VR2W-108163     -5.610733     56.37628             25
+#> 138    VR2W-108163     -5.610733     56.37628             25
+#> 139    VR2W-108163     -5.610733     56.37628             25
+#> 140    VR2W-108163     -5.610733     56.37628             25
+#> 141    VR2W-108163     -5.610733     56.37628             25
+#> 142       VR2-6720     -5.627150     56.50808             50
+#> 143       VR2-6720     -5.627150     56.50808             50
+#> 144       VR2-6720     -5.627150     56.50808             50
+#> 145       VR2-6720     -5.627150     56.50808             50
+#> 146       VR2-6720     -5.627150     56.50808             50
+#> 147       VR2-6720     -5.627150     56.50808             50
+#> 148       VR2-6720     -5.627150     56.50808             50
+#> 149       VR2-6720     -5.627150     56.50808             50
+#> 150       VR2-6720     -5.627150     56.50808             50
+#> 151       VR2-6720     -5.627150     56.50808             50
+#> 152       VR2-6720     -5.627150     56.50808             50
+#> 153       VR2-6720     -5.627150     56.50808             50
+#> 154       VR2-6720     -5.627150     56.50808             50
+#> 155       VR2-6720     -5.627150     56.50808             50
+#> 156       VR2-6720     -5.627150     56.50808             50
+#> 157       VR2-6720     -5.627150     56.50808             50
+#> 158       VR2-6720     -5.627150     56.50808             50
+#> 159       VR2-6720     -5.627150     56.50808             50
+#> 160       VR2-6720     -5.627150     56.50808             50
+#> 161       VR2-6720     -5.627150     56.50808             50
+#> 162       VR2-6720     -5.627150     56.50808             50
+#> 163       VR2-6720     -5.627150     56.50808             50
+#> 164       VR2-6720     -5.627150     56.50808             50
+#> 165       VR2-6720     -5.627150     56.50808             50
+#> 166       VR2-6720     -5.627150     56.50808             50
+#> 167       VR2-6720     -5.627150     56.50808             50
+#> 168       VR2-6720     -5.627150     56.50808             50
+#> 169       VR2-6720     -5.627150     56.50808             50
+#> 170       VR2-6720     -5.627150     56.50808             50
+#> 171       VR2-6720     -5.627150     56.50808             50
+#> 172       VR2-6720     -5.627150     56.50808             50
+#> 173       VR2-6720     -5.627150     56.50808             50
+#> 174       VR2-6720     -5.627150     56.50808             50
+#> 175       VR2-6720     -5.627150     56.50808             50
+#> 176       VR2-6720     -5.627150     56.50808             50
+#> 177       VR2-6720     -5.627150     56.50808             50
+#> 178       VR2-6720     -5.627150     56.50808             50
+#> 179       VR2-6720     -5.627150     56.50808             50
+#> 180       VR2-6720     -5.627150     56.50808             50
+#> 181       VR2-6720     -5.627150     56.50808             50
+#> 182       VR2-6720     -5.627150     56.50808             50
+#> 183       VR2-6720     -5.627150     56.50808             50
+#> 184       VR2-6720     -5.627150     56.50808             50
+#> 185       VR2-6720     -5.627150     56.50808             50
+#> 186       VR2-6720     -5.627150     56.50808             50
+#> 187    VR2W-107823     -5.691883     56.49690             25
+#> 188    VR2W-107823     -5.691883     56.49690             25
+#> 189    VR2W-107823     -5.691883     56.49690             25
+#> 190    VR2W-107823     -5.691883     56.49690             25
+#> 191    VR2W-107823     -5.691883     56.49690             25
+#> 192    VR2W-107823     -5.691883     56.49690             25
+#> 193    VR2W-107823     -5.691883     56.49690             25
+#> 194    VR2W-107823     -5.691883     56.49690             25
+#> 195    VR2W-107823     -5.691883     56.49690             25
+#> 196    VR2W-107823     -5.691883     56.49690             25
+#> 197    VR2W-107823     -5.691883     56.49690             25
+#> 198    VR2W-107823     -5.691883     56.49690             25
+#> 199    VR2W-107823     -5.691883     56.49690             25
+#> 200    VR2W-107823     -5.691883     56.49690             25
+#> 201    VR2W-107823     -5.691883     56.49690             25
+#> 202    VR2W-107823     -5.691883     56.49690             25
+#> 203    VR2W-107823     -5.691883     56.49690             25
+#> 204    VR2W-107823     -5.691883     56.49690             25
+#> 205    VR2W-107823     -5.691883     56.49690             25
+#> 206    VR2W-107823     -5.691883     56.49690             25
+#> 207    VR2W-107823     -5.691883     56.49690             25
+#> 208    VR2W-107823     -5.691883     56.49690             25
+#> 209    VR2W-107823     -5.691883     56.49690             25
+#> 210    VR2W-107823     -5.691883     56.49690             25
+#> 211    VR2W-107823     -5.691883     56.49690             25
+#> 212    VR2W-107823     -5.691883     56.49690             25
+#> 213    VR2W-108160     -5.704867     56.48890             25
+#> 214    VR2W-107823     -5.691883     56.49690             25
+#> 215    VR2W-107823     -5.691883     56.49690             25
+#> 216    VR2W-107823     -5.691883     56.49690             25
+#> 217    VR2W-107823     -5.691883     56.49690             25
+#> 218    VR2W-107823     -5.691883     56.49690             25
+#> 219    VR2W-107823     -5.691883     56.49690             25
+#> 220    VR2W-107823     -5.691883     56.49690             25
+#> 221    VR2W-107823     -5.691883     56.49690             25
+#> 222    VR2W-107823     -5.691883     56.49690             25
+#> 223    VR2W-107823     -5.691883     56.49690             25
+#> 224    VR2W-107823     -5.691883     56.49690             25
+#> 225    VR2W-107823     -5.691883     56.49690             25
+#> 226    VR2W-107823     -5.691883     56.49690             25
+#> 227    VR2W-107823     -5.691883     56.49690             25
+#> 228    VR2W-107823     -5.691883     56.49690             25
+#> 229    VR2W-107823     -5.691883     56.49690             25
+#> 230    VR2W-107823     -5.691883     56.49690             25
+#> 231       VR2-6720     -5.627150     56.50808             50
+#> 232       VR2-6720     -5.627150     56.50808             50
+#> 233       VR2-6720     -5.627150     56.50808             50
+#> 234       VR2-6720     -5.627150     56.50808             50
+#> 235       VR2-6720     -5.627150     56.50808             50
+#> 236    VR2W-108155     -5.614267     56.45872             25
+#> 237    VR2W-108155     -5.614267     56.45872             25
+#> 238    VR2W-108155     -5.614267     56.45872             25
+#> 239    VR2W-108155     -5.614267     56.45872             25
+#> 240    VR2W-108155     -5.614267     56.45872             25
+#> 241    VR2W-108163     -5.610733     56.37628             25
+#> 242    VR2W-108158     -5.619533     56.37413             25
+#> 243    VR2W-108163     -5.610733     56.37628             25
+#> 244    VR2W-108158     -5.619533     56.37413             25
+#> 245    VR2W-108163     -5.610733     56.37628             25
+#> 246    VR2W-108158     -5.619533     56.37413             25
+#> 247    VR2W-108163     -5.610733     56.37628             25
+#> 248    VR2W-108158     -5.619533     56.37413             25
+#> 249    VR2W-108163     -5.610733     56.37628             25
+#> 250    VR2W-108163     -5.610733     56.37628             25
+#> 251    VR2W-108158     -5.619533     56.37413             25
+#> 252    VR2W-108158     -5.619533     56.37413             25
+#> 253    VR2W-108158     -5.619533     56.37413             25
+#> 254    VR2W-108158     -5.619533     56.37413             25
+#> 255    VR2W-108163     -5.610733     56.37628             25
+#> 256    VR2W-108158     -5.619533     56.37413             25
+#> 257    VR2W-108163     -5.610733     56.37628             25
+#> 258    VR2W-108163     -5.610733     56.37628             25
+#> 259    VR2W-108158     -5.619533     56.37413             25
+#> 260    VR2W-108163     -5.610733     56.37628             25
+#> 261    VR2W-108163     -5.610733     56.37628             25
+#> 262    VR2W-108163     -5.610733     56.37628             25
+#> 263    VR2W-108158     -5.619533     56.37413             25
+#> 264    VR2W-108163     -5.610733     56.37628             25
+#> 265    VR2W-108158     -5.619533     56.37413             25
+#> 266    VR2W-108163     -5.610733     56.37628             25
+#> 267    VR2W-108158     -5.619533     56.37413             25
+#> 268    VR2W-108163     -5.610733     56.37628             25
+#> 269    VR2W-108158     -5.619533     56.37413             25
+#> 270    VR2W-108158     -5.619533     56.37413             25
+#> 271    VR2W-108163     -5.610733     56.37628             25
+#> 272    VR2W-108163     -5.610733     56.37628             25
+#> 273    VR2W-108158     -5.619533     56.37413             25
+#> 274    VR2W-108163     -5.610733     56.37628             25
+#> 275    VR2W-108163     -5.610733     56.37628             25
+#> 276    VR2W-108158     -5.619533     56.37413             25
+#> 277    VR2W-108163     -5.610733     56.37628             25
+#> 278    VR2W-108158     -5.619533     56.37413             25
+#> 279    VR2W-108163     -5.610733     56.37628             25
+#> 280    VR2W-108158     -5.619533     56.37413             25
+#> 281    VR2W-108163     -5.610733     56.37628             25
+#> 282    VR2W-108163     -5.610733     56.37628             25
+#> 283    VR2W-108163     -5.610733     56.37628             25
+#> 284    VR2W-108158     -5.619533     56.37413             25
+#> 285    VR2W-108163     -5.610733     56.37628             25
+#> 286    VR2W-108158     -5.619533     56.37413             25
+#> 287    VR2W-108158     -5.619533     56.37413             25
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+#> 290    VR2W-108163     -5.610733     56.37628             25
+#> 291    VR2W-108163     -5.610733     56.37628             25
+#> 292    VR2W-108163     -5.610733     56.37628             25
+#> 293    VR2W-108158     -5.619533     56.37413             25
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+#> 592    VR2W-108163     -5.610733     56.37628             25
+#> 593    VR2W-108163     -5.610733     56.37628             25
+#> 594    VR2W-108163     -5.610733     56.37628             25
+#> 595    VR2W-108163     -5.610733     56.37628             25
+#> 596    VR2W-108163     -5.610733     56.37628             25
+#> 597    VR2W-108163     -5.610733     56.37628             25
+#> 598    VR2W-108163     -5.610733     56.37628             25
+#> 599    VR2W-108163     -5.610733     56.37628             25
+#> 600    VR2W-108163     -5.610733     56.37628             25
+#> 601    VR2W-108163     -5.610733     56.37628             25
+#> 602    VR2W-108163     -5.610733     56.37628             25
+#> 603    VR2W-108163     -5.610733     56.37628             25
+#> 604    VR2W-108163     -5.610733     56.37628             25
+#> 605    VR2W-108163     -5.610733     56.37628             25
+#> 606    VR2W-108163     -5.610733     56.37628             25
+#> 607    VR2W-108163     -5.610733     56.37628             25
+#> 608    VR2W-108163     -5.610733     56.37628             25
+#> 609    VR2W-108163     -5.610733     56.37628             25
+#> 610    VR2W-108163     -5.610733     56.37628             25
+#> 611    VR2W-108163     -5.610733     56.37628             25
+#> 612    VR2W-108163     -5.610733     56.37628             25
+#> 613    VR2W-120722     -5.602283     56.37748             25
+#> 614    VR2W-120722     -5.602283     56.37748             25
+#> 615    VR2W-120722     -5.602283     56.37748             25
+#> 616    VR2W-120722     -5.602283     56.37748             25
+#> 617    VR2W-120722     -5.602283     56.37748             25
+#> 618    VR2W-108163     -5.610733     56.37628             25
+#> 619    VR2W-108163     -5.610733     56.37628             25
+#> 620    VR2W-108163     -5.610733     56.37628             25
+#> 621    VR2W-108163     -5.610733     56.37628             25
+#> 622    VR2W-108163     -5.610733     56.37628             25
+#> 623    VR2W-108163     -5.610733     56.37628             25
+#> 624    VR2W-108163     -5.610733     56.37628             25
+#> 625    VR2W-108163     -5.610733     56.37628             25
+#> 626    VR2W-108163     -5.610733     56.37628             25
+#> 627    VR2W-108163     -5.610733     56.37628             25
+#> 628    VR2W-108163     -5.610733     56.37628             25
+#> 629    VR2W-108163     -5.610733     56.37628             25
+#> 630    VR2W-108163     -5.610733     56.37628             25
+#> 631    VR2W-108163     -5.610733     56.37628             25
+#> 632    VR2W-108163     -5.610733     56.37628             25
+#> 633    VR2W-108163     -5.610733     56.37628             25
+#> 634    VR2W-108163     -5.610733     56.37628             25
+#> 635    VR2W-108163     -5.610733     56.37628             25
+#> 636    VR2W-108163     -5.610733     56.37628             25
+#> 637    VR2W-108163     -5.610733     56.37628             25
+#> 638    VR2W-108163     -5.610733     56.37628             25
+#> 639    VR2W-120722     -5.602283     56.37748             25
+#> 640    VR2W-108163     -5.610733     56.37628             25
+#> 641    VR2W-120722     -5.602283     56.37748             25
+#> 642    VR2W-108163     -5.610733     56.37628             25
+#> 643    VR2W-108163     -5.610733     56.37628             25
+#> 644    VR2W-108163     -5.610733     56.37628             25
+#> 645    VR2W-108163     -5.610733     56.37628             25
+#> 646    VR2W-108163     -5.610733     56.37628             25
+#> 647    VR2W-108163     -5.610733     56.37628             25
+#> 648    VR2W-108163     -5.610733     56.37628             25
+#> 649    VR2W-108163     -5.610733     56.37628             25
+#> 650    VR2W-120722     -5.602283     56.37748             25
+#> 651    VR2W-120722     -5.602283     56.37748             25
+#> 652    VR2W-120722     -5.602283     56.37748             25
+#> 653    VR2W-120722     -5.602283     56.37748             25
+#> 654    VR2W-120722     -5.602283     56.37748             25
+#> 655    VR2W-120722     -5.602283     56.37748             25
+#> 656    VR2W-120722     -5.602283     56.37748             25
+#> 657    VR2W-120722     -5.602283     56.37748             25
+#> 658    VR2W-120722     -5.602283     56.37748             25
+#> 659    VR2W-120722     -5.602283     56.37748             25
+#> 660    VR2W-120722     -5.602283     56.37748             25
+#> 661    VR2W-120722     -5.602283     56.37748             25
+#> 662    VR2W-120722     -5.602283     56.37748             25
+#> 663    VR2W-120722     -5.602283     56.37748             25
+#> 664    VR2W-120722     -5.602283     56.37748             25
+#> 665    VR2W-120722     -5.602283     56.37748             25
+#> 666    VR2W-120722     -5.602283     56.37748             25
+#> 667    VR2W-108163     -5.610733     56.37628             25
+#> 668    VR2W-108163     -5.610733     56.37628             25
+#> 669    VR2W-108163     -5.610733     56.37628             25
+#> 670    VR2W-108163     -5.610733     56.37628             25
+#> 671    VR2W-108163     -5.610733     56.37628             25
+#> 672    VR2W-108163     -5.610733     56.37628             25
+#> 673    VR2W-108163     -5.610733     56.37628             25
+#> 674    VR2W-108163     -5.610733     56.37628             25
+#> 675    VR2W-108163     -5.610733     56.37628             25
+#> 676    VR2W-108163     -5.610733     56.37628             25
+#> 677    VR2W-108163     -5.610733     56.37628             25
+#> 678    VR2W-108163     -5.610733     56.37628             25
+#> 679    VR2W-108163     -5.610733     56.37628             25
+#> 680    VR2W-108163     -5.610733     56.37628             25
+#> 681    VR2W-107823     -5.691883     56.49690             25
+#> 682    VR2W-107823     -5.691883     56.49690             25
+#> 683    VR2W-107823     -5.691883     56.49690             25
+#> 684    VR2W-107823     -5.691883     56.49690             25
+#> 685    VR2W-107823     -5.691883     56.49690             25
+#> 686    VR2W-107823     -5.691883     56.49690             25
+#> 687    VR2W-107823     -5.691883     56.49690             25
+#> 688    VR2W-107823     -5.691883     56.49690             25
+#> 689    VR2W-107823     -5.691883     56.49690             25
+#> 690    VR2W-107823     -5.691883     56.49690             25
+#> 691    VR2W-107823     -5.691883     56.49690             25
+#> 692    VR2W-107823     -5.691883     56.49690             25
+#> 693    VR2W-107823     -5.691883     56.49690             25
+#> 694    VR2W-107823     -5.691883     56.49690             25
+#> 695    VR2W-107823     -5.691883     56.49690             25
+#> 696    VR2W-107823     -5.691883     56.49690             25
+#> 697    VR2W-107823     -5.691883     56.49690             25
+#> 698    VR2W-107823     -5.691883     56.49690             25
+#> 699    VR2W-107823     -5.691883     56.49690             25
+#> 700    VR2W-107823     -5.691883     56.49690             25
+#> 701    VR2W-107823     -5.691883     56.49690             25
+#> 702    VR2W-107823     -5.691883     56.49690             25
+#> 703    VR2W-107823     -5.691883     56.49690             25
+#> 704    VR2W-107823     -5.691883     56.49690             25
+#> 705    VR2W-107823     -5.691883     56.49690             25
+#> 706    VR2W-107823     -5.691883     56.49690             25
+#> 707    VR2W-107823     -5.691883     56.49690             25
+#> 708    VR2W-107823     -5.691883     56.49690             25
+#> 709    VR2W-107823     -5.691883     56.49690             25
+#> 710    VR2W-107823     -5.691883     56.49690             25
+#> 711    VR2W-107823     -5.691883     56.49690             25
+#> 712    VR2W-107823     -5.691883     56.49690             25
+#> 713    VR2W-107823     -5.691883     56.49690             25
+#> 714    VR2W-107823     -5.691883     56.49690             25
+#> 715    VR2W-107823     -5.691883     56.49690             25
+#> 716    VR2W-107823     -5.691883     56.49690             25
+#> 717    VR2W-107823     -5.691883     56.49690             25
+#> 718    VR2W-107823     -5.691883     56.49690             25
+#> 719    VR2W-107823     -5.691883     56.49690             25
+#> 720    VR2W-107823     -5.691883     56.49690             25
+#> 721    VR2W-107823     -5.691883     56.49690             25
+#> 722    VR2W-107823     -5.691883     56.49690             25
+#> 723    VR2W-107823     -5.691883     56.49690             25
+#> 724    VR2W-107823     -5.691883     56.49690             25
+#> 725    VR2W-107823     -5.691883     56.49690             25
+#> 726    VR2W-107823     -5.691883     56.49690             25
+#> 727    VR2W-107823     -5.691883     56.49690             25
+#> 728    VR2W-107823     -5.691883     56.49690             25
+#> 729    VR2W-107823     -5.691883     56.49690             25
+#> 730    VR2W-107823     -5.691883     56.49690             25
+#> 731    VR2W-107823     -5.691883     56.49690             25
+#> 732    VR2W-107823     -5.691883     56.49690             25
+#> 733    VR2W-107823     -5.691883     56.49690             25
+#> 734    VR2W-107823     -5.691883     56.49690             25
+#> 735    VR2W-107823     -5.691883     56.49690             25
+#> 736    VR2W-107823     -5.691883     56.49690             25
+#> 737    VR2W-107823     -5.691883     56.49690             25
+#> 738    VR2W-107823     -5.691883     56.49690             25
+#> 739    VR2W-107823     -5.691883     56.49690             25
+#> 740    VR2W-107823     -5.691883     56.49690             25
+#> 741    VR2W-107823     -5.691883     56.49690             25
+#> 742    VR2W-107823     -5.691883     56.49690             25
+#> 743    VR2W-107823     -5.691883     56.49690             25
+#> 744    VR2W-107823     -5.691883     56.49690             25
+#> 745    VR2W-107823     -5.691883     56.49690             25
+#> 746    VR2W-107823     -5.691883     56.49690             25
+#> 747    VR2W-107823     -5.691883     56.49690             25
+#> 748    VR2W-107823     -5.691883     56.49690             25
+#> 749    VR2W-107823     -5.691883     56.49690             25
+#> 750    VR2W-107823     -5.691883     56.49690             25
+#> 751    VR2W-107823     -5.691883     56.49690             25
+#> 752    VR2W-107823     -5.691883     56.49690             25
+#> 753    VR2W-107823     -5.691883     56.49690             25
+#> 754    VR2W-107823     -5.691883     56.49690             25
+#> 755    VR2W-107823     -5.691883     56.49690             25
+#> 756    VR2W-107823     -5.691883     56.49690             25
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+#> 758    VR2W-107823     -5.691883     56.49690             25
+#> 759    VR2W-107823     -5.691883     56.49690             25
+#> 760    VR2W-107823     -5.691883     56.49690             25
+#> 761    VR2W-107823     -5.691883     56.49690             25
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+#> 764    VR2W-107823     -5.691883     56.49690             25
+#> 765    VR2W-107823     -5.691883     56.49690             25
+#> 766    VR2W-107823     -5.691883     56.49690             25
+#> 767    VR2W-107823     -5.691883     56.49690             25
+#> 768    VR2W-107823     -5.691883     56.49690             25
+#> 769    VR2W-107823     -5.691883     56.49690             25
+#> 770    VR2W-107823     -5.691883     56.49690             25
+#> 771    VR2W-107823     -5.691883     56.49690             25
+#> 772    VR2W-107823     -5.691883     56.49690             25
+#> 773    VR2W-107823     -5.691883     56.49690             25
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+#> 775    VR2W-108163     -5.610733     56.37628             25
+#> 776    VR2W-108163     -5.610733     56.37628             25
+#> 777    VR2W-108163     -5.610733     56.37628             25
+#> 778    VR2W-108163     -5.610733     56.37628             25
+#> 779    VR2W-108163     -5.610733     56.37628             25
+#> 780    VR2W-108163     -5.610733     56.37628             25
+#> 781    VR2W-108163     -5.610733     56.37628             25
+#> 782    VR2W-108163     -5.610733     56.37628             25
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+#> 784    VR2W-107823     -5.691883     56.49690             25
+#> 785    VR2W-107823     -5.691883     56.49690             25
+#> 786    VR2W-107823     -5.691883     56.49690             25
+#> 787    VR2W-107823     -5.691883     56.49690             25
+#> 788    VR2W-107823     -5.691883     56.49690             25
+#> 789    VR2W-107823     -5.691883     56.49690             25
+#> 790    VR2W-107823     -5.691883     56.49690             25
+#> 791    VR2W-107823     -5.691883     56.49690             25
+#> 792    VR2W-107823     -5.691883     56.49690             25
+#> 793    VR2W-107823     -5.691883     56.49690             25
+#> 794    VR2W-107823     -5.691883     56.49690             25
+#> 795    VR2W-107823     -5.691883     56.49690             25
+#> 796    VR2W-107823     -5.691883     56.49690             25
+#> 797    VR2W-107823     -5.691883     56.49690             25
+#> 798    VR2W-107823     -5.691883     56.49690             25
+#> 799    VR2W-107823     -5.691883     56.49690             25
+#> 800    VR2W-107823     -5.691883     56.49690             25
+#> 801    VR2W-107823     -5.691883     56.49690             25
+#> 802    VR2W-107823     -5.691883     56.49690             25
+#> 803    VR2W-107823     -5.691883     56.49690             25
+#> 804    VR2W-107823     -5.691883     56.49690             25
+#> 805    VR2W-107823     -5.691883     56.49690             25
+#> 806    VR2W-107823     -5.691883     56.49690             25
+#> 807    VR2W-107823     -5.691883     56.49690             25
+#> 808    VR2W-107823     -5.691883     56.49690             25
+#> 809    VR2W-107823     -5.691883     56.49690             25
+#> 810    VR2W-107823     -5.691883     56.49690             25
+#> 811    VR2W-107823     -5.691883     56.49690             25
+#> 812    VR2W-107823     -5.691883     56.49690             25
+#> 813    VR2W-107823     -5.691883     56.49690             25
+#> 814    VR2W-107823     -5.691883     56.49690             25
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+#> 818    VR2W-107823     -5.691883     56.49690             25
+#> 819    VR2W-107823     -5.691883     56.49690             25
+#> 820    VR2W-107823     -5.691883     56.49690             25
+#> 821    VR2W-107823     -5.691883     56.49690             25
+#> 822    VR2W-107823     -5.691883     56.49690             25
+#> 823    VR2W-107823     -5.691883     56.49690             25
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+#> 828    VR2W-107823     -5.691883     56.49690             25
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+#> 831    VR2W-107823     -5.691883     56.49690             25
+#> 832    VR2W-107823     -5.691883     56.49690             25
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+#> 838    VR2W-108160     -5.704867     56.48890             25
+#> 839    VR2W-108160     -5.704867     56.48890             25
+#> 840    VR2W-108160     -5.704867     56.48890             25
+#> 841    VR2W-108160     -5.704867     56.48890             25
+#> 842    VR2W-108160     -5.704867     56.48890             25
+#> 843    VR2W-107823     -5.691883     56.49690             25
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+#> 848    VR2W-107823     -5.691883     56.49690             25
+#> 849    VR2W-107823     -5.691883     56.49690             25
+#> 850    VR2W-107823     -5.691883     56.49690             25
+#> 851    VR2W-107823     -5.691883     56.49690             25
+#> 852    VR2W-107823     -5.691883     56.49690             25
+#> 853    VR2W-107823     -5.691883     56.49690             25
+#> 854    VR2W-107823     -5.691883     56.49690             25
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+#> 868    VR2W-107823     -5.691883     56.49690             25
+#> 869    VR2W-107823     -5.691883     56.49690             25
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+#> 877    VR2W-108160     -5.704867     56.48890             25
+#> 878    VR2W-108160     -5.704867     56.48890             25
+#> 879    VR2W-108160     -5.704867     56.48890             25
+#> 880    VR2W-108160     -5.704867     56.48890             25
+#> 881    VR2W-108160     -5.704867     56.48890             25
+#> 882    VR2W-108160     -5.704867     56.48890             25
+#> 883    VR2W-108160     -5.704867     56.48890             25
+#> 884    VR2W-108160     -5.704867     56.48890             25
+#> 885    VR2W-108160     -5.704867     56.48890             25
+#> 886    VR2W-108160     -5.704867     56.48890             25
+#> 887    VR2W-108160     -5.704867     56.48890             25
+#> 888    VR2W-108160     -5.704867     56.48890             25
+#> 889    VR2W-108160     -5.704867     56.48890             25
+#> 890    VR2W-108160     -5.704867     56.48890             25
+#> 891    VR2W-108160     -5.704867     56.48890             25
+#> 892    VR2W-108160     -5.704867     56.48890             25
+#> 893    VR2W-108160     -5.704867     56.48890             25
+#> 894    VR2W-108160     -5.704867     56.48890             25
+#> 895    VR2W-108160     -5.704867     56.48890             25
+#> 896    VR2W-108160     -5.704867     56.48890             25
+#> 897    VR2W-108160     -5.704867     56.48890             25
+#> 898    VR2W-108160     -5.704867     56.48890             25
+#> 899    VR2W-108160     -5.704867     56.48890             25
+#> 900    VR2W-108160     -5.704867     56.48890             25
+#> 901    VR2W-108160     -5.704867     56.48890             25
+#> 902    VR2W-108160     -5.704867     56.48890             25
+#> 903    VR2W-108160     -5.704867     56.48890             25
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+#> 905    VR2W-107823     -5.691883     56.49690             25
+#> 906    VR2W-107823     -5.691883     56.49690             25
+#> 907    VR2W-107823     -5.691883     56.49690             25
+#> 908    VR2W-107823     -5.691883     56.49690             25
+#> 909    VR2W-107823     -5.691883     56.49690             25
+#> 910    VR2W-107823     -5.691883     56.49690             25
+#> 911    VR2W-107823     -5.691883     56.49690             25
+#> 912    VR2W-107823     -5.691883     56.49690             25
+#> 913    VR2W-107823     -5.691883     56.49690             25
+#> 914    VR2W-107823     -5.691883     56.49690             25
+#> 915    VR2W-107823     -5.691883     56.49690             25
+#> 916    VR2W-107823     -5.691883     56.49690             25
+#> 917    VR2W-107823     -5.691883     56.49690             25
+#> 918    VR2W-107823     -5.691883     56.49690             25
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+#> 920    VR2W-107823     -5.691883     56.49690             25
+#> 921    VR2W-107823     -5.691883     56.49690             25
+#> 922    VR2W-107823     -5.691883     56.49690             25
+#> 923    VR2W-107823     -5.691883     56.49690             25
+#> 924    VR2W-107823     -5.691883     56.49690             25
+#> 925    VR2W-107823     -5.691883     56.49690             25
+#> 926    VR2W-107823     -5.691883     56.49690             25
+#> 927    VR2W-107823     -5.691883     56.49690             25
+#> 928    VR2W-107823     -5.691883     56.49690             25
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+#> 932    VR2W-107823     -5.691883     56.49690             25
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+#> 934    VR2W-107823     -5.691883     56.49690             25
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+#> 938    VR2W-107823     -5.691883     56.49690             25
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+#> 948    VR2W-107823     -5.691883     56.49690             25
+#> 949    VR2W-107823     -5.691883     56.49690             25
+#> 950    VR2W-107823     -5.691883     56.49690             25
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+#> 952    VR2W-107823     -5.691883     56.49690             25
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+#> 954    VR2W-107823     -5.691883     56.49690             25
+#> 955    VR2W-107823     -5.691883     56.49690             25
+#> 956    VR2W-107823     -5.691883     56.49690             25
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+#> 958    VR2W-107823     -5.691883     56.49690             25
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+#> 964    VR2W-107823     -5.691883     56.49690             25
+#> 965    VR2W-107823     -5.691883     56.49690             25
+#> 966    VR2W-107823     -5.691883     56.49690             25
+#> 967    VR2W-107823     -5.691883     56.49690             25
+#> 968    VR2W-107823     -5.691883     56.49690             25
+#> 969    VR2W-107823     -5.691883     56.49690             25
+#> 970    VR2W-107823     -5.691883     56.49690             25
+#> 971    VR2W-107823     -5.691883     56.49690             25
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+#> 974    VR2W-107823     -5.691883     56.49690             25
+#> 975    VR2W-107823     -5.691883     56.49690             25
+#> 976    VR2W-107823     -5.691883     56.49690             25
+#> 977    VR2W-107823     -5.691883     56.49690             25
+#> 978    VR2W-107823     -5.691883     56.49690             25
+#> 979    VR2W-107823     -5.691883     56.49690             25
+#> 980    VR2W-107823     -5.691883     56.49690             25
+#> 981    VR2W-107823     -5.691883     56.49690             25
+#> 982    VR2W-107823     -5.691883     56.49690             25
+#> 983    VR2W-107823     -5.691883     56.49690             25
+#> 984    VR2W-107823     -5.691883     56.49690             25
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+#> 986    VR2W-107823     -5.691883     56.49690             25
+#> 987    VR2W-107823     -5.691883     56.49690             25
+#> 988    VR2W-107823     -5.691883     56.49690             25
+#> 989    VR2W-107823     -5.691883     56.49690             25
+#> 990    VR2W-107823     -5.691883     56.49690             25
+#> 991    VR2W-107823     -5.691883     56.49690             25
+#> 992    VR2W-107823     -5.691883     56.49690             25
+#> 993    VR2W-107823     -5.691883     56.49690             25
+#> 994    VR2W-107823     -5.691883     56.49690             25
+#> 995    VR2W-107823     -5.691883     56.49690             25
+#> 996    VR2W-107823     -5.691883     56.49690             25
+#> 997    VR2W-107823     -5.691883     56.49690             25
+#> 998    VR2W-107823     -5.691883     56.49690             25
+#> 999    VR2W-107823     -5.691883     56.49690             25
+#> 1000   VR2W-107823     -5.691883     56.49690             25
+#> 1001   VR2W-107823     -5.691883     56.49690             25
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+#> 1003   VR2W-107823     -5.691883     56.49690             25
+#> 1004   VR2W-107823     -5.691883     56.49690             25
+#> 1005   VR2W-107823     -5.691883     56.49690             25
+#> 1006   VR2W-107823     -5.691883     56.49690             25
+#> 1007   VR2W-107823     -5.691883     56.49690             25
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+#> 1009   VR2W-107823     -5.691883     56.49690             25
+#> 1010   VR2W-107823     -5.691883     56.49690             25
+#> 1011   VR2W-107823     -5.691883     56.49690             25
+#> 1012   VR2W-107823     -5.691883     56.49690             25
+#> 1013   VR2W-107823     -5.691883     56.49690             25
+#> 1014   VR2W-107823     -5.691883     56.49690             25
+#> 1015   VR2W-107823     -5.691883     56.49690             25
+#> 1016   VR2W-107823     -5.691883     56.49690             25
+#> 1017   VR2W-107823     -5.691883     56.49690             25
+#> 1018   VR2W-107823     -5.691883     56.49690             25
+#> 1019   VR2W-107823     -5.691883     56.49690             25
+#> 1020   VR2W-107823     -5.691883     56.49690             25
+#> 1021   VR2W-107823     -5.691883     56.49690             25
+#> 1022   VR2W-107823     -5.691883     56.49690             25
+#> 1023   VR2W-107823     -5.691883     56.49690             25
+#> 1024   VR2W-107823     -5.691883     56.49690             25
+#> 1025   VR2W-107823     -5.691883     56.49690             25
+#> 1026   VR2W-107823     -5.691883     56.49690             25
+#> 1027   VR2W-107823     -5.691883     56.49690             25
+#> 1028   VR2W-107823     -5.691883     56.49690             25
+#> 1029   VR2W-107823     -5.691883     56.49690             25
+#> 1030   VR2W-107823     -5.691883     56.49690             25
+#> 1031   VR2W-107823     -5.691883     56.49690             25
+#> 1032   VR2W-107823     -5.691883     56.49690             25
+#> 1033   VR2W-107823     -5.691883     56.49690             25
+#> 1034   VR2W-107823     -5.691883     56.49690             25
+#> 1035   VR2W-107823     -5.691883     56.49690             25
+#> 1036   VR2W-107823     -5.691883     56.49690             25
+#> 1037   VR2W-107823     -5.691883     56.49690             25
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+#> 1047   VR2W-107823     -5.691883     56.49690             25
+#> 1048   VR2W-107823     -5.691883     56.49690             25
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+#> 1051   VR2W-107823     -5.691883     56.49690             25
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+#> 1068   VR2W-107823     -5.691883     56.49690             25
+#> 1069   VR2W-107823     -5.691883     56.49690             25
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+#> 1078   VR2W-107823     -5.691883     56.49690             25
+#> 1079   VR2W-107823     -5.691883     56.49690             25
+#> 1080   VR2W-107823     -5.691883     56.49690             25
+#> 1081   VR2W-107823     -5.691883     56.49690             25
+#> 1082   VR2W-107823     -5.691883     56.49690             25
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+#> 1100   VR2W-107823     -5.691883     56.49690             25
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+#> 1128   VR2W-107823     -5.691883     56.49690             25
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+#> 1158   VR2W-107823     -5.691883     56.49690             25
+#> 1159   VR2W-107823     -5.691883     56.49690             25
+#> 1160   VR2W-107823     -5.691883     56.49690             25
+#> 1161   VR2W-107823     -5.691883     56.49690             25
+#> 1162   VR2W-107823     -5.691883     56.49690             25
+#> 1163   VR2W-107823     -5.691883     56.49690             25
+#> 1164   VR2W-107823     -5.691883     56.49690             25
+#> 1165   VR2W-107823     -5.691883     56.49690             25
+#> 1166   VR2W-107823     -5.691883     56.49690             25
+#> 1167   VR2W-107823     -5.691883     56.49690             25
+#> 1168   VR2W-107823     -5.691883     56.49690             25
+#> 1169   VR2W-107823     -5.691883     56.49690             25
+#> 1170   VR2W-107823     -5.691883     56.49690             25
+#> 1171   VR2W-107823     -5.691883     56.49690             25
+#> 1172   VR2W-107823     -5.691883     56.49690             25
+#> 1173   VR2W-107823     -5.691883     56.49690             25
+#> 1174   VR2W-107823     -5.691883     56.49690             25
+#> 1175   VR2W-107823     -5.691883     56.49690             25
+#> 1176   VR2W-107823     -5.691883     56.49690             25
+#> 1177   VR2W-107823     -5.691883     56.49690             25
+#> 1178   VR2W-107823     -5.691883     56.49690             25
+#> 1179   VR2W-107823     -5.691883     56.49690             25
+#> 1180   VR2W-107823     -5.691883     56.49690             25
+#> 1181   VR2W-107823     -5.691883     56.49690             25
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+#> 1183   VR2W-107823     -5.691883     56.49690             25
+#> 1184   VR2W-107823     -5.691883     56.49690             25
+#> 1185   VR2W-107823     -5.691883     56.49690             25
+#> 1186   VR2W-107823     -5.691883     56.49690             25
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+#> 1188   VR2W-107823     -5.691883     56.49690             25
+#> 1189   VR2W-107823     -5.691883     56.49690             25
+#> 1190   VR2W-107823     -5.691883     56.49690             25
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+#> 1196   VR2W-107823     -5.691883     56.49690             25
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+#> 1199   VR2W-107823     -5.691883     56.49690             25
+#> 1200   VR2W-107823     -5.691883     56.49690             25
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+#> 1218   VR2W-107823     -5.691883     56.49690             25
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+#> 1221   VR2W-107823     -5.691883     56.49690             25
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+#> 1248   VR2W-107823     -5.691883     56.49690             25
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+#> 1250   VR2W-107823     -5.691883     56.49690             25
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+#> 1255   VR2W-107823     -5.691883     56.49690             25
+#> 1256   VR2W-107823     -5.691883     56.49690             25
+#> 1257   VR2W-107823     -5.691883     56.49690             25
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+#> 1260   VR2W-107823     -5.691883     56.49690             25
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+#> 1262   VR2W-107823     -5.691883     56.49690             25
+#> 1263   VR2W-107823     -5.691883     56.49690             25
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+#> 1268   VR2W-107823     -5.691883     56.49690             25
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+#> 1438   VR2W-107823     -5.691883     56.49690             25
+#> 1439   VR2W-107823     -5.691883     56.49690             25
+#> 1440   VR2W-107823     -5.691883     56.49690             25
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+#> 1442   VR2W-107823     -5.691883     56.49690             25
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+#> 1718   VR2W-107823     -5.691883     56.49690             25
+#> 1719   VR2W-107823     -5.691883     56.49690             25
+#> 1720   VR2W-107823     -5.691883     56.49690             25
+#> 1721   VR2W-107823     -5.691883     56.49690             25
+#> 1722   VR2W-107823     -5.691883     56.49690             25
+#> 1723   VR2W-107823     -5.691883     56.49690             25
+#> 1724   VR2W-107823     -5.691883     56.49690             25
+#> 1725   VR2W-107823     -5.691883     56.49690             25
+#> 1726   VR2W-107823     -5.691883     56.49690             25
+#> 1727   VR2W-107823     -5.691883     56.49690             25
+#> 1728   VR2W-107823     -5.691883     56.49690             25
+#> 1729   VR2W-107823     -5.691883     56.49690             25
+#> 1730   VR2W-107823     -5.691883     56.49690             25
+#> 1731   VR2W-107823     -5.691883     56.49690             25
+#> 1732   VR2W-107823     -5.691883     56.49690             25
+#> 1733   VR2W-107823     -5.691883     56.49690             25
+#> 1734   VR2W-107823     -5.691883     56.49690             25
+#> 1735   VR2W-107823     -5.691883     56.49690             25
+#> 1736   VR2W-107823     -5.691883     56.49690             25
+#> 1737   VR2W-107823     -5.691883     56.49690             25
+#> 1738   VR2W-107823     -5.691883     56.49690             25
+#> 1739   VR2W-107823     -5.691883     56.49690             25
+#> 1740   VR2W-107823     -5.691883     56.49690             25
+#> 1741   VR2W-107823     -5.691883     56.49690             25
+#> 1742   VR2W-107823     -5.691883     56.49690             25
+#> 1743   VR2W-107823     -5.691883     56.49690             25
+#> 1744   VR2W-107823     -5.691883     56.49690             25
+#> 1745   VR2W-107823     -5.691883     56.49690             25
+#> 1746   VR2W-107823     -5.691883     56.49690             25
+#> 1747   VR2W-107823     -5.691883     56.49690             25
+#> 1748   VR2W-107823     -5.691883     56.49690             25
+#> 1749   VR2W-107823     -5.691883     56.49690             25
+#> 1750   VR2W-107823     -5.691883     56.49690             25
+#> 1751   VR2W-107823     -5.691883     56.49690             25
+#> 1752   VR2W-107823     -5.691883     56.49690             25
+#> 1753   VR2W-107823     -5.691883     56.49690             25
+#> 1754   VR2W-107823     -5.691883     56.49690             25
+#> 1755   VR2W-107823     -5.691883     56.49690             25
+#> 1756   VR2W-107823     -5.691883     56.49690             25
+#> 1757   VR2W-107823     -5.691883     56.49690             25
+#> 1758   VR2W-107823     -5.691883     56.49690             25
+#> 1759   VR2W-107823     -5.691883     56.49690             25
+#> 1760   VR2W-107823     -5.691883     56.49690             25
+#> 1761   VR2W-107823     -5.691883     56.49690             25
+#> 1762   VR2W-107823     -5.691883     56.49690             25
+#> 1763   VR2W-107823     -5.691883     56.49690             25
+#> 1764   VR2W-107823     -5.691883     56.49690             25
+#> 1765   VR2W-107823     -5.691883     56.49690             25
+#> 1766   VR2W-107823     -5.691883     56.49690             25
+#> 1767   VR2W-107823     -5.691883     56.49690             25
+#> 1768   VR2W-107823     -5.691883     56.49690             25
+#> 1769   VR2W-107823     -5.691883     56.49690             25
+#> 1770   VR2W-107823     -5.691883     56.49690             25
+#> 1771   VR2W-107823     -5.691883     56.49690             25
+#> 1772   VR2W-107823     -5.691883     56.49690             25
+#> 1773   VR2W-107823     -5.691883     56.49690             25
+#> 1774   VR2W-107823     -5.691883     56.49690             25
+#> 1775   VR2W-107823     -5.691883     56.49690             25
+#> 1776   VR2W-107823     -5.691883     56.49690             25
+#> 1777   VR2W-107823     -5.691883     56.49690             25
+#> 1778   VR2W-107823     -5.691883     56.49690             25
+#> 1779   VR2W-107823     -5.691883     56.49690             25
+#> 1780   VR2W-107823     -5.691883     56.49690             25
+#> 1781   VR2W-107823     -5.691883     56.49690             25
+#> 1782   VR2W-107823     -5.691883     56.49690             25
+#> 1783   VR2W-107823     -5.691883     56.49690             25
+#> 1784   VR2W-107823     -5.691883     56.49690             25
+#> 1785   VR2W-107823     -5.691883     56.49690             25
+#> 1786   VR2W-107823     -5.691883     56.49690             25
+#> 1787   VR2W-107823     -5.691883     56.49690             25
+#> 1788   VR2W-107823     -5.691883     56.49690             25
+#> 1789   VR2W-107823     -5.691883     56.49690             25
+#> 1790   VR2W-107823     -5.691883     56.49690             25
+#> 1791   VR2W-107823     -5.691883     56.49690             25
+#> 1792   VR2W-107823     -5.691883     56.49690             25
+#> 1793   VR2W-107823     -5.691883     56.49690             25
+#> 1794   VR2W-107823     -5.691883     56.49690             25
+#> 1795   VR2W-107823     -5.691883     56.49690             25
+#> 1796   VR2W-107823     -5.691883     56.49690             25
+#> 1797   VR2W-107823     -5.691883     56.49690             25
+#> 1798   VR2W-107823     -5.691883     56.49690             25
+#> 1799   VR2W-107823     -5.691883     56.49690             25
+#> 1800   VR2W-107823     -5.691883     56.49690             25
+#> 1801   VR2W-107823     -5.691883     56.49690             25
+#> 1802   VR2W-107823     -5.691883     56.49690             25
+#> 1803   VR2W-107823     -5.691883     56.49690             25
+#> 1804   VR2W-107823     -5.691883     56.49690             25
+#> 1805   VR2W-107823     -5.691883     56.49690             25
+#> 1806   VR2W-107823     -5.691883     56.49690             25
+#> 1807   VR2W-107823     -5.691883     56.49690             25
+#> 1808   VR2W-107823     -5.691883     56.49690             25
+#> 1809   VR2W-107823     -5.691883     56.49690             25
+#> 1810   VR2W-107823     -5.691883     56.49690             25
+#> 1811   VR2W-107823     -5.691883     56.49690             25
+#> 1812   VR2W-107823     -5.691883     56.49690             25
+#> 1813   VR2W-107823     -5.691883     56.49690             25
+#> 1814   VR2W-107823     -5.691883     56.49690             25
+#> 1815   VR2W-107823     -5.691883     56.49690             25
+#> 1816   VR2W-107823     -5.691883     56.49690             25
+#> 1817   VR2W-107823     -5.691883     56.49690             25
+#> 1818   VR2W-107823     -5.691883     56.49690             25
+#> 1819   VR2W-107823     -5.691883     56.49690             25
+#> 1820   VR2W-107823     -5.691883     56.49690             25
+#> 1821   VR2W-107823     -5.691883     56.49690             25
+#> 1822   VR2W-107823     -5.691883     56.49690             25
+#> 1823   VR2W-107823     -5.691883     56.49690             25
+#> 1824   VR2W-107823     -5.691883     56.49690             25
+#> 1825   VR2W-107823     -5.691883     56.49690             25
+#> 1826   VR2W-107823     -5.691883     56.49690             25
+#> 1827   VR2W-107823     -5.691883     56.49690             25
+#> 1828   VR2W-107823     -5.691883     56.49690             25
+#> 1829   VR2W-107823     -5.691883     56.49690             25
+#> 1830   VR2W-107823     -5.691883     56.49690             25
+#> 1831   VR2W-107823     -5.691883     56.49690             25
+#> 1832   VR2W-107823     -5.691883     56.49690             25
+#> 1833   VR2W-107823     -5.691883     56.49690             25
+#> 1834   VR2W-107823     -5.691883     56.49690             25
+#> 1835   VR2W-107823     -5.691883     56.49690             25
+#> 1836   VR2W-107823     -5.691883     56.49690             25
+#> 1837   VR2W-107823     -5.691883     56.49690             25
+#> 1838   VR2W-107823     -5.691883     56.49690             25
+#> 1839   VR2W-107823     -5.691883     56.49690             25
+#> 1840   VR2W-107823     -5.691883     56.49690             25
+#> 1841   VR2W-107823     -5.691883     56.49690             25
+#> 1842   VR2W-107823     -5.691883     56.49690             25
+#> 1843   VR2W-107823     -5.691883     56.49690             25
+#> 1844   VR2W-107823     -5.691883     56.49690             25
+#> 1845   VR2W-107823     -5.691883     56.49690             25
+#> 1846   VR2W-107823     -5.691883     56.49690             25
+#> 1847   VR2W-107823     -5.691883     56.49690             25
+#> 1848   VR2W-107823     -5.691883     56.49690             25
+#> 1849   VR2W-107823     -5.691883     56.49690             25
+#> 1850   VR2W-107823     -5.691883     56.49690             25
+#> 1851   VR2W-107823     -5.691883     56.49690             25
+#> 1852   VR2W-107823     -5.691883     56.49690             25
+#> 1853   VR2W-107823     -5.691883     56.49690             25
+#> 1854   VR2W-107823     -5.691883     56.49690             25
+#> 1855   VR2W-107823     -5.691883     56.49690             25
+#> 1856   VR2W-107823     -5.691883     56.49690             25
+#> 1857   VR2W-107823     -5.691883     56.49690             25
+#> 1858   VR2W-107823     -5.691883     56.49690             25
+#> 1859   VR2W-107823     -5.691883     56.49690             25
+#> 1860   VR2W-107823     -5.691883     56.49690             25
+#> 1861   VR2W-107823     -5.691883     56.49690             25
+#> 1862   VR2W-107823     -5.691883     56.49690             25
+#> 1863   VR2W-107823     -5.691883     56.49690             25
+#> 1864   VR2W-107823     -5.691883     56.49690             25
+#> 1865   VR2W-107823     -5.691883     56.49690             25
+#> 1866   VR2W-107823     -5.691883     56.49690             25
+#> 1867   VR2W-107823     -5.691883     56.49690             25
+#> 1868   VR2W-107823     -5.691883     56.49690             25
+#> 1869   VR2W-107823     -5.691883     56.49690             25
+#> 1870   VR2W-107823     -5.691883     56.49690             25
+#> 1871   VR2W-107823     -5.691883     56.49690             25
+#> 1872   VR2W-107823     -5.691883     56.49690             25
+#> 1873   VR2W-107823     -5.691883     56.49690             25
+#> 1874   VR2W-107823     -5.691883     56.49690             25
+#> 1875   VR2W-107823     -5.691883     56.49690             25
+#> 1876   VR2W-107823     -5.691883     56.49690             25
+#> 1877   VR2W-107823     -5.691883     56.49690             25
+#> 1878   VR2W-107823     -5.691883     56.49690             25
+#> 1879   VR2W-107823     -5.691883     56.49690             25
+#> 1880   VR2W-107823     -5.691883     56.49690             25
+#> 1881   VR2W-107823     -5.691883     56.49690             25
+#> 1882   VR2W-107823     -5.691883     56.49690             25
+#> 1883   VR2W-107823     -5.691883     56.49690             25
+#> 1884   VR2W-107823     -5.691883     56.49690             25
+#> 1885   VR2W-107823     -5.691883     56.49690             25
+#> 1886   VR2W-107823     -5.691883     56.49690             25
+#> 1887   VR2W-107823     -5.691883     56.49690             25
+#> 1888   VR2W-107823     -5.691883     56.49690             25
+#> 1889   VR2W-107823     -5.691883     56.49690             25
+#> 1890   VR2W-107823     -5.691883     56.49690             25
+#> 1891   VR2W-107823     -5.691883     56.49690             25
+#> 1892   VR2W-107823     -5.691883     56.49690             25
+#> 1893   VR2W-107823     -5.691883     56.49690             25
+#> 1894   VR2W-107823     -5.691883     56.49690             25
+#> 1895   VR2W-107823     -5.691883     56.49690             25
+#> 1896   VR2W-107823     -5.691883     56.49690             25
+#> 1897   VR2W-107823     -5.691883     56.49690             25
+#> 1898   VR2W-107823     -5.691883     56.49690             25
+#> 1899   VR2W-107823     -5.691883     56.49690             25
+#> 1900   VR2W-107823     -5.691883     56.49690             25
+#> 1901   VR2W-107823     -5.691883     56.49690             25
+#> 1902   VR2W-107823     -5.691883     56.49690             25
+#> 1903   VR2W-107823     -5.691883     56.49690             25
+#> 1904   VR2W-107823     -5.691883     56.49690             25
+#> 1905   VR2W-107823     -5.691883     56.49690             25
+#> 1906   VR2W-107823     -5.691883     56.49690             25
+#> 1907   VR2W-107823     -5.691883     56.49690             25
+#> 1908   VR2W-107823     -5.691883     56.49690             25
+#> 1909   VR2W-107823     -5.691883     56.49690             25
+#> 1910   VR2W-107823     -5.691883     56.49690             25
+#> 1911   VR2W-107823     -5.691883     56.49690             25
+#> 1912   VR2W-107823     -5.691883     56.49690             25
+#> 1913   VR2W-107823     -5.691883     56.49690             25
+#> 1914   VR2W-107823     -5.691883     56.49690             25
+#> 1915   VR2W-107823     -5.691883     56.49690             25
+#> 1916   VR2W-107823     -5.691883     56.49690             25
+#> 1917   VR2W-107823     -5.691883     56.49690             25
+#> 1918   VR2W-107823     -5.691883     56.49690             25
+#> 1919   VR2W-107823     -5.691883     56.49690             25
+#> 1920   VR2W-107823     -5.691883     56.49690             25
+#> 1921   VR2W-107823     -5.691883     56.49690             25
+#> 1922   VR2W-107823     -5.691883     56.49690             25
+#> 1923   VR2W-107823     -5.691883     56.49690             25
+#> 1924   VR2W-107823     -5.691883     56.49690             25
+#> 1925   VR2W-107823     -5.691883     56.49690             25
+#> 1926   VR2W-107823     -5.691883     56.49690             25
+#> 1927   VR2W-107823     -5.691883     56.49690             25
+#> 1928   VR2W-107823     -5.691883     56.49690             25
+#> 1929   VR2W-107823     -5.691883     56.49690             25
+#> 1930   VR2W-107823     -5.691883     56.49690             25
+#> 1931   VR2W-107823     -5.691883     56.49690             25
+#> 1932   VR2W-107823     -5.691883     56.49690             25
+#> 1933   VR2W-107823     -5.691883     56.49690             25
+#> 1934   VR2W-107823     -5.691883     56.49690             25
+#> 1935   VR2W-107823     -5.691883     56.49690             25
+#> 1936   VR2W-107823     -5.691883     56.49690             25
+#> 1937   VR2W-107823     -5.691883     56.49690             25
+#> 1938   VR2W-107823     -5.691883     56.49690             25
+#> 1939   VR2W-107823     -5.691883     56.49690             25
+#> 1940   VR2W-107823     -5.691883     56.49690             25
+#> 1941   VR2W-107823     -5.691883     56.49690             25
+#> 1942   VR2W-107823     -5.691883     56.49690             25
+#> 1943   VR2W-107823     -5.691883     56.49690             25
+#> 1944   VR2W-107823     -5.691883     56.49690             25
+#> 1945   VR2W-107823     -5.691883     56.49690             25
+#> 1946   VR2W-107823     -5.691883     56.49690             25
+#> 1947   VR2W-107823     -5.691883     56.49690             25
+#> 1948   VR2W-107823     -5.691883     56.49690             25
+#> 1949   VR2W-107823     -5.691883     56.49690             25
+#> 1950   VR2W-107823     -5.691883     56.49690             25
+#> 1951   VR2W-107823     -5.691883     56.49690             25
+#> 1952   VR2W-107823     -5.691883     56.49690             25
+#> 1953   VR2W-107823     -5.691883     56.49690             25
+#> 1954   VR2W-107823     -5.691883     56.49690             25
+#> 1955   VR2W-107823     -5.691883     56.49690             25
+#> 1956   VR2W-107823     -5.691883     56.49690             25
+#> 1957   VR2W-107823     -5.691883     56.49690             25
+#> 1958   VR2W-107823     -5.691883     56.49690             25
+#> 1959   VR2W-107823     -5.691883     56.49690             25
+#> 1960   VR2W-107823     -5.691883     56.49690             25
+#> 1961   VR2W-107823     -5.691883     56.49690             25
+#> 1962   VR2W-107823     -5.691883     56.49690             25
+#> 1963   VR2W-107823     -5.691883     56.49690             25
+#> 1964   VR2W-107823     -5.691883     56.49690             25
+#> 1965   VR2W-107823     -5.691883     56.49690             25
+#> 1966   VR2W-107823     -5.691883     56.49690             25
+#> 1967   VR2W-107823     -5.691883     56.49690             25
+#> 1968   VR2W-107823     -5.691883     56.49690             25
+#> 1969   VR2W-107823     -5.691883     56.49690             25
+#> 1970   VR2W-107823     -5.691883     56.49690             25
+#> 1971   VR2W-107823     -5.691883     56.49690             25
+#> 1972   VR2W-107823     -5.691883     56.49690             25
+#> 1973   VR2W-107823     -5.691883     56.49690             25
+#> 1974   VR2W-107823     -5.691883     56.49690             25
+#> 1975   VR2W-107823     -5.691883     56.49690             25
+#> 1976   VR2W-107823     -5.691883     56.49690             25
+#> 1977   VR2W-107823     -5.691883     56.49690             25
+#> 1978   VR2W-107823     -5.691883     56.49690             25
+#> 1979   VR2W-107823     -5.691883     56.49690             25
+#> 1980   VR2W-107823     -5.691883     56.49690             25
+#> 1981   VR2W-107823     -5.691883     56.49690             25
+#> 1982   VR2W-107823     -5.691883     56.49690             25
+#> 1983   VR2W-107823     -5.691883     56.49690             25
+#> 1984   VR2W-107823     -5.691883     56.49690             25
+#> 1985   VR2W-107823     -5.691883     56.49690             25
+#> 1986   VR2W-107823     -5.691883     56.49690             25
+#> 1987   VR2W-107823     -5.691883     56.49690             25
+#> 1988   VR2W-107823     -5.691883     56.49690             25
+#> 1989   VR2W-107823     -5.691883     56.49690             25
+#> 1990   VR2W-107823     -5.691883     56.49690             25
+#> 1991   VR2W-107823     -5.691883     56.49690             25
+#> 1992   VR2W-107823     -5.691883     56.49690             25
+#> 1993   VR2W-107823     -5.691883     56.49690             25
+#> 1994   VR2W-107823     -5.691883     56.49690             25
+#> 1995   VR2W-107823     -5.691883     56.49690             25
+#> 1996   VR2W-107823     -5.691883     56.49690             25
+#> 1997   VR2W-107823     -5.691883     56.49690             25
+#> 1998   VR2W-107823     -5.691883     56.49690             25
+#> 1999   VR2W-107823     -5.691883     56.49690             25
+#> 2000   VR2W-107823     -5.691883     56.49690             25
+#> 2001   VR2W-107823     -5.691883     56.49690             25
+#> 2002   VR2W-107823     -5.691883     56.49690             25
+#> 2003   VR2W-107823     -5.691883     56.49690             25
+#> 2004   VR2W-107823     -5.691883     56.49690             25
+#> 2005   VR2W-107823     -5.691883     56.49690             25
+#> 2006   VR2W-107823     -5.691883     56.49690             25
+#> 2007   VR2W-107823     -5.691883     56.49690             25
+#> 2008   VR2W-107823     -5.691883     56.49690             25
+#> 2009   VR2W-107823     -5.691883     56.49690             25
+#> 2010   VR2W-107823     -5.691883     56.49690             25
+#> 2011   VR2W-107823     -5.691883     56.49690             25
+#> 2012   VR2W-107823     -5.691883     56.49690             25
+#> 2013   VR2W-107823     -5.691883     56.49690             25
+#> 2014   VR2W-107823     -5.691883     56.49690             25
+#> 2015   VR2W-107823     -5.691883     56.49690             25
+#> 2016   VR2W-107823     -5.691883     56.49690             25
+#> 2017   VR2W-107823     -5.691883     56.49690             25
+#> 2018   VR2W-107823     -5.691883     56.49690             25
+#> 2019   VR2W-107823     -5.691883     56.49690             25
+#> 2020   VR2W-107823     -5.691883     56.49690             25
+#> 2021   VR2W-107823     -5.691883     56.49690             25
+#> 2022   VR2W-107823     -5.691883     56.49690             25
+#> 2023   VR2W-107823     -5.691883     56.49690             25
+#> 2024   VR2W-107823     -5.691883     56.49690             25
+#> 2025   VR2W-107823     -5.691883     56.49690             25
+#> 2026   VR2W-107823     -5.691883     56.49690             25
+#> 2027   VR2W-107823     -5.691883     56.49690             25
+#> 2028   VR2W-107823     -5.691883     56.49690             25
+#> 2029   VR2W-107823     -5.691883     56.49690             25
+#> 2030   VR2W-107823     -5.691883     56.49690             25
+#> 2031   VR2W-107823     -5.691883     56.49690             25
+#> 2032   VR2W-107823     -5.691883     56.49690             25
+#> 2033   VR2W-107823     -5.691883     56.49690             25
+#> 2034   VR2W-107823     -5.691883     56.49690             25
+#> 2035   VR2W-107823     -5.691883     56.49690             25
+#> 2036   VR2W-107823     -5.691883     56.49690             25
+#> 2037   VR2W-107823     -5.691883     56.49690             25
+#> 2038   VR2W-107823     -5.691883     56.49690             25
+#> 2039   VR2W-107823     -5.691883     56.49690             25
+#> 2040   VR2W-107823     -5.691883     56.49690             25
+#> 2041   VR2W-107823     -5.691883     56.49690             25
+#> 2042   VR2W-107823     -5.691883     56.49690             25
+#> 2043   VR2W-107823     -5.691883     56.49690             25
+#> 2044   VR2W-107823     -5.691883     56.49690             25
+#> 2045   VR2W-107823     -5.691883     56.49690             25
+#> 2046   VR2W-107823     -5.691883     56.49690             25
+#> 2047   VR2W-107823     -5.691883     56.49690             25
+#> 2048   VR2W-107823     -5.691883     56.49690             25
+#> 2049   VR2W-107823     -5.691883     56.49690             25
+#> 2050   VR2W-107823     -5.691883     56.49690             25
+#> 2051   VR2W-107823     -5.691883     56.49690             25
+#> 2052   VR2W-107823     -5.691883     56.49690             25
+#> 2053   VR2W-107823     -5.691883     56.49690             25
+#> 2054   VR2W-107823     -5.691883     56.49690             25
+#> 2055   VR2W-107823     -5.691883     56.49690             25
+#> 2056   VR2W-107823     -5.691883     56.49690             25
+#> 2057   VR2W-107823     -5.691883     56.49690             25
+#> 2058   VR2W-107823     -5.691883     56.49690             25
+#> 2059   VR2W-107823     -5.691883     56.49690             25
+#> 2060   VR2W-107823     -5.691883     56.49690             25
+#> 2061   VR2W-107823     -5.691883     56.49690             25
+#> 2062   VR2W-107823     -5.691883     56.49690             25
+#> 2063   VR2W-107823     -5.691883     56.49690             25
+#> 2064   VR2W-107823     -5.691883     56.49690             25
+#> 2065   VR2W-107823     -5.691883     56.49690             25
+#> 2066   VR2W-107823     -5.691883     56.49690             25
+#> 2067   VR2W-107823     -5.691883     56.49690             25
+#> 2068   VR2W-107823     -5.691883     56.49690             25
+#> 2069   VR2W-107823     -5.691883     56.49690             25
+#> 2070   VR2W-107823     -5.691883     56.49690             25
+#> 2071   VR2W-107823     -5.691883     56.49690             25
+#> 2072   VR2W-107823     -5.691883     56.49690             25
+#> 2073   VR2W-107823     -5.691883     56.49690             25
+#> 2074   VR2W-107823     -5.691883     56.49690             25
+#> 2075   VR2W-107823     -5.691883     56.49690             25
+#> 2076   VR2W-107823     -5.691883     56.49690             25
+#> 2077   VR2W-107823     -5.691883     56.49690             25
+#> 2078   VR2W-107823     -5.691883     56.49690             25
+#> 2079   VR2W-107823     -5.691883     56.49690             25
+#> 2080   VR2W-107823     -5.691883     56.49690             25
+#> 2081   VR2W-107823     -5.691883     56.49690             25
+#> 2082   VR2W-107823     -5.691883     56.49690             25
+#> 2083   VR2W-107823     -5.691883     56.49690             25
+#> 2084   VR2W-107823     -5.691883     56.49690             25
+#> 2085   VR2W-107823     -5.691883     56.49690             25
+#> 2086   VR2W-107823     -5.691883     56.49690             25
+#> 2087   VR2W-107823     -5.691883     56.49690             25
+#> 2088   VR2W-107823     -5.691883     56.49690             25
+#> 2089   VR2W-107823     -5.691883     56.49690             25
+#> 2090   VR2W-107823     -5.691883     56.49690             25
+#> 2091   VR2W-107823     -5.691883     56.49690             25
+#> 2092   VR2W-107823     -5.691883     56.49690             25
+#> 2093   VR2W-107823     -5.691883     56.49690             25
+#> 2094   VR2W-107823     -5.691883     56.49690             25
+#> 2095   VR2W-107823     -5.691883     56.49690             25
+#> 2096   VR2W-107823     -5.691883     56.49690             25
+#> 2097   VR2W-107823     -5.691883     56.49690             25
+#> 2098   VR2W-107823     -5.691883     56.49690             25
+#> 2099   VR2W-107823     -5.691883     56.49690             25
+#> 2100   VR2W-107823     -5.691883     56.49690             25
+#> 2101   VR2W-107823     -5.691883     56.49690             25
+#> 2102   VR2W-107823     -5.691883     56.49690             25
+#> 2103   VR2W-107823     -5.691883     56.49690             25
+#> 2104   VR2W-107823     -5.691883     56.49690             25
+#> 2105   VR2W-107823     -5.691883     56.49690             25
+#> 2106   VR2W-107823     -5.691883     56.49690             25
+#> 2107   VR2W-107823     -5.691883     56.49690             25
+#> 2108   VR2W-107823     -5.691883     56.49690             25
+#> 2109   VR2W-107823     -5.691883     56.49690             25
+#> 2110   VR2W-107823     -5.691883     56.49690             25
+#> 2111   VR2W-107823     -5.691883     56.49690             25
+#> 2112   VR2W-107823     -5.691883     56.49690             25
+#> 2113   VR2W-107823     -5.691883     56.49690             25
+#> 2114   VR2W-107823     -5.691883     56.49690             25
+#> 2115   VR2W-107823     -5.691883     56.49690             25
+#> 2116   VR2W-107823     -5.691883     56.49690             25
+#> 2117   VR2W-107823     -5.691883     56.49690             25
+#> 2118   VR2W-107823     -5.691883     56.49690             25
+#> 2119   VR2W-107823     -5.691883     56.49690             25
+#> 2120   VR2W-107823     -5.691883     56.49690             25
+#> 2121   VR2W-107823     -5.691883     56.49690             25
+#> 2122   VR2W-107823     -5.691883     56.49690             25
+#> 2123   VR2W-107823     -5.691883     56.49690             25
+#> 2124   VR2W-107823     -5.691883     56.49690             25
+#> 2125   VR2W-107823     -5.691883     56.49690             25
+#> 2126   VR2W-107823     -5.691883     56.49690             25
+#> 2127   VR2W-107823     -5.691883     56.49690             25
+#> 2128   VR2W-107823     -5.691883     56.49690             25
+#> 2129   VR2W-107823     -5.691883     56.49690             25
+#> 2130   VR2W-107823     -5.691883     56.49690             25
+#> 2131   VR2W-107823     -5.691883     56.49690             25
+#> 2132   VR2W-107823     -5.691883     56.49690             25
+#> 2133   VR2W-107823     -5.691883     56.49690             25
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+#> 2135   VR2W-107823     -5.691883     56.49690             25
+#> 2136   VR2W-107823     -5.691883     56.49690             25
+#> 2137   VR2W-107823     -5.691883     56.49690             25
+#> 2138   VR2W-107823     -5.691883     56.49690             25
+#> 2139   VR2W-107823     -5.691883     56.49690             25
+#> 2140   VR2W-107823     -5.691883     56.49690             25
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+#> 2142   VR2W-107823     -5.691883     56.49690             25
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+#> 2144   VR2W-107823     -5.691883     56.49690             25
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+#> 2148   VR2W-107823     -5.691883     56.49690             25
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+#> 2158   VR2W-107823     -5.691883     56.49690             25
+#> 2159   VR2W-107823     -5.691883     56.49690             25
+#> 2160   VR2W-107823     -5.691883     56.49690             25
+#> 2161   VR2W-107823     -5.691883     56.49690             25
+#> 2162   VR2W-107823     -5.691883     56.49690             25
+#> 2163   VR2W-107823     -5.691883     56.49690             25
+#> 2164   VR2W-107823     -5.691883     56.49690             25
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+#> 2170   VR2W-107823     -5.691883     56.49690             25
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+#> 2174   VR2W-107823     -5.691883     56.49690             25
+#> 2175   VR2W-107823     -5.691883     56.49690             25
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+#> 2177   VR2W-107823     -5.691883     56.49690             25
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+#> 2180   VR2W-107823     -5.691883     56.49690             25
+#> 2181   VR2W-107823     -5.691883     56.49690             25
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+#> 2183   VR2W-107823     -5.691883     56.49690             25
+#> 2184   VR2W-107823     -5.691883     56.49690             25
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+#> 2188   VR2W-107823     -5.691883     56.49690             25
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+#> 2284   VR2W-107823     -5.691883     56.49690             25
+#> 2285   VR2W-107823     -5.691883     56.49690             25
+#> 2286   VR2W-107823     -5.691883     56.49690             25
+#> 2287   VR2W-107823     -5.691883     56.49690             25
+#> 2288      VR2-5635     -5.606000     56.52018             50
+#> 2289      VR2-5635     -5.606000     56.52018             50
+#> 2290      VR2-5635     -5.606000     56.52018             50
+#> 2291      VR2-5635     -5.606000     56.52018             50
+#> 2292      VR2-5635     -5.606000     56.52018             50
+#> 2293      VR2-5635     -5.606000     56.52018             50
+#> 2294      VR2-5635     -5.606000     56.52018             50
+#> 2295      VR2-5635     -5.606000     56.52018             50
+#> 2296      VR2-5635     -5.606000     56.52018             50
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+#> 2299      VR2-6720     -5.627150     56.50808             50
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+#> 2302      VR2-6720     -5.627150     56.50808             50
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+#> 2304      VR2-6720     -5.627150     56.50808             50
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+#> 2306      VR2-6720     -5.627150     56.50808             50
+#> 2307      VR2-6720     -5.627150     56.50808             50
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+#> 2363   VR2W-107823     -5.691883     56.49690             25
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+#> 2368   VR2W-107823     -5.691883     56.49690             25
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+#> 2370   VR2W-107823     -5.691883     56.49690             25
+#> 2371   VR2W-107823     -5.691883     56.49690             25
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+#> 2374   VR2W-107823     -5.691883     56.49690             25
+#> 2375   VR2W-107823     -5.691883     56.49690             25
+#> 2376   VR2W-107823     -5.691883     56.49690             25
+#> 2377   VR2W-107823     -5.691883     56.49690             25
+#> 2378   VR2W-107823     -5.691883     56.49690             25
+#> 2379   VR2W-107823     -5.691883     56.49690             25
+#> 2380   VR2W-107823     -5.691883     56.49690             25
+#> 2381   VR2W-107823     -5.691883     56.49690             25
+#> 2382   VR2W-107823     -5.691883     56.49690             25
+#> 2383   VR2W-107823     -5.691883     56.49690             25
+#> 2384   VR2W-107823     -5.691883     56.49690             25
+#> 2385   VR2W-107823     -5.691883     56.49690             25
+#> 2386   VR2W-107823     -5.691883     56.49690             25
+#> 2387   VR2W-107823     -5.691883     56.49690             25
+#> 2388   VR2W-107823     -5.691883     56.49690             25
+#> 2389   VR2W-107823     -5.691883     56.49690             25
+#> 2390   VR2W-107823     -5.691883     56.49690             25
+#> 2391   VR2W-107823     -5.691883     56.49690             25
+#> 2392   VR2W-107823     -5.691883     56.49690             25
+#> 2393   VR2W-107823     -5.691883     56.49690             25
+#> 2394   VR2W-107823     -5.691883     56.49690             25
+#> 2395   VR2W-107823     -5.691883     56.49690             25
+#> 2396   VR2W-107823     -5.691883     56.49690             25
+#> 2397   VR2W-107823     -5.691883     56.49690             25
+#> 2398   VR2W-107823     -5.691883     56.49690             25
+#> 2399   VR2W-107823     -5.691883     56.49690             25
+#> 2400   VR2W-107823     -5.691883     56.49690             25
+#> 2401   VR2W-107823     -5.691883     56.49690             25
+#> 2402   VR2W-107823     -5.691883     56.49690             25
+#> 2403   VR2W-107823     -5.691883     56.49690             25
+#> 2404   VR2W-107823     -5.691883     56.49690             25
+#> 2405   VR2W-107823     -5.691883     56.49690             25
+#> 2406   VR2W-107823     -5.691883     56.49690             25
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+#> 2575   VR2W-113141     -5.755900     56.51000             50
+#> 2576   VR2W-113141     -5.755900     56.51000             50
+#> 2577   VR2W-113141     -5.755900     56.51000             50
+#> 2578   VR2W-113141     -5.755900     56.51000             50
+#> 2579   VR2W-113141     -5.755900     56.51000             50
+#> 2580   VR2W-113141     -5.755900     56.51000             50
+#> 2581   VR2W-113141     -5.755900     56.51000             50
+#> 2582   VR2W-113141     -5.755900     56.51000             50
+#> 2583   VR2W-113141     -5.755900     56.51000             50
+#> 2584   VR2W-113141     -5.755900     56.51000             50
+#> 2585   VR2W-113141     -5.755900     56.51000             50
+#> 2586   VR2W-113141     -5.755900     56.51000             50
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+#> 2588   VR2W-113141     -5.755900     56.51000             50
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+#> 2868   VR2W-108160     -5.704867     56.48890             25
+#> 2869   VR2W-108160     -5.704867     56.48890             25
+#> 2870   VR2W-108160     -5.704867     56.48890             25
+#> 2871   VR2W-108160     -5.704867     56.48890             25
+#> 2872   VR2W-108160     -5.704867     56.48890             25
+#> 2873   VR2W-108160     -5.704867     56.48890             25
+#> 2874   VR2W-108160     -5.704867     56.48890             25
+#> 2875   VR2W-108160     -5.704867     56.48890             25
+#> 2876   VR2W-108160     -5.704867     56.48890             25
+#> 2877   VR2W-108160     -5.704867     56.48890             25
+#> 2878   VR2W-113141     -5.755900     56.51000             50
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+#> 2880   VR2W-113141     -5.755900     56.51000             50
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+#> 3160  VR2AR-546136     -5.665000     56.48650            105
+#> 3161  VR2AR-546136     -5.665000     56.48650            105
+#> 3162  VR2AR-546136     -5.665000     56.48650            105
+#> 3163  VR2AR-546136     -5.665000     56.48650            105
+#> 3164  VR2AR-546136     -5.665000     56.48650            105
+#> 3165  VR2AR-546136     -5.665000     56.48650            105
+#> 3166  VR2AR-546136     -5.665000     56.48650            105
+#> 3167  VR2AR-546136     -5.665000     56.48650            105
+#> 3168  VR2AR-546136     -5.665000     56.48650            105
+#> 3169  VR2AR-546136     -5.665000     56.48650            105
+#> 3170  VR2AR-546136     -5.665000     56.48650            105
+#> 3171  VR2AR-546136     -5.665000     56.48650            105
+#> 3172  VR2AR-546136     -5.665000     56.48650            105
+#> 3173  VR2AR-546136     -5.665000     56.48650            105
+#> 3174  VR2AR-546136     -5.665000     56.48650            105
+#> 3175  VR2AR-546136     -5.665000     56.48650            105
+#> 3176  VR2AR-546136     -5.665000     56.48650            105
+#> 3177  VR2AR-546136     -5.665000     56.48650            105
+#> 3178  VR2AR-546136     -5.665000     56.48650            105
+#> 3179  VR2AR-546136     -5.665000     56.48650            105
+#> 3180  VR2AR-546136     -5.665000     56.48650            105
+#> 3181  VR2AR-546136     -5.665000     56.48650            105
+#> 3182  VR2AR-546136     -5.665000     56.48650            105
+#> 3183  VR2AR-546136     -5.665000     56.48650            105
+#> 3184  VR2AR-546136     -5.665000     56.48650            105
+#> 3185  VR2AR-546136     -5.665000     56.48650            105
+#> 3186  VR2AR-546136     -5.665000     56.48650            105
+#> 3187  VR2AR-546136     -5.665000     56.48650            105
+#> 3188  VR2AR-546136     -5.665000     56.48650            105
+#> 3189  VR2AR-546136     -5.665000     56.48650            105
+#> 3190  VR2AR-546136     -5.665000     56.48650            105
+#> 3191  VR2AR-546136     -5.665000     56.48650            105
+#> 3192  VR2AR-546136     -5.665000     56.48650            105
+#> 3193  VR2AR-546136     -5.665000     56.48650            105
+#> 3194  VR2AR-546136     -5.665000     56.48650            105
+#> 3195  VR2AR-546136     -5.665000     56.48650            105
+#> 3196  VR2AR-546136     -5.665000     56.48650            105
+#> 3197  VR2AR-546136     -5.665000     56.48650            105
+#> 3198  VR2AR-546136     -5.665000     56.48650            105
+#> 3199  VR2AR-546136     -5.665000     56.48650            105
+#> 3200  VR2AR-546136     -5.665000     56.48650            105
+#> 3201  VR2AR-546136     -5.665000     56.48650            105
+#> 3202  VR2AR-546136     -5.665000     56.48650            105
+#> 3203  VR2AR-546136     -5.665000     56.48650            105
+#> 3204  VR2AR-546136     -5.665000     56.48650            105
+#> 3205  VR2AR-546136     -5.665000     56.48650            105
+#> 3206  VR2AR-546136     -5.665000     56.48650            105
+#> 3207  VR2AR-546136     -5.665000     56.48650            105
+#> 3208  VR2AR-546136     -5.665000     56.48650            105
+#> 3209  VR2AR-546136     -5.665000     56.48650            105
+#> 3210  VR2AR-546136     -5.665000     56.48650            105
+#> 3211  VR2AR-546136     -5.665000     56.48650            105
+#> 3212  VR2AR-546136     -5.665000     56.48650            105
+#> 3213  VR2AR-546136     -5.665000     56.48650            105
+#> 3214  VR2AR-546136     -5.665000     56.48650            105
+#> 3215  VR2AR-546136     -5.665000     56.48650            105
+#> 3216  VR2AR-546136     -5.665000     56.48650            105
+#> 3217   VR2W-107823     -5.691883     56.49690             25
+#> 3218   VR2W-107823     -5.691883     56.49690             25
+#> 3219   VR2W-107823     -5.691883     56.49690             25
+#> 3220   VR2W-107823     -5.691883     56.49690             25
+#> 3221   VR2W-107823     -5.691883     56.49690             25
+#> 3222   VR2W-107823     -5.691883     56.49690             25
+#> 3223   VR2W-107823     -5.691883     56.49690             25
+#> 3224   VR2W-107823     -5.691883     56.49690             25
+#> 3225   VR2W-107823     -5.691883     56.49690             25
+#> 3226   VR2W-107823     -5.691883     56.49690             25
+#> 3227   VR2W-107823     -5.691883     56.49690             25
+#> 3228   VR2W-113141     -5.755900     56.51000             50
+#> 3229   VR2W-113141     -5.755900     56.51000             50
+#> 3230   VR2W-113141     -5.755900     56.51000             50
+#> 3231   VR2W-113141     -5.755900     56.51000             50
+#> 3232   VR2W-113141     -5.755900     56.51000             50
+#> 3233   VR2W-113141     -5.755900     56.51000             50
+#> 3234   VR2W-113141     -5.755900     56.51000             50
+#> 3235   VR2W-113141     -5.755900     56.51000             50
+#> 3236   VR2W-113141     -5.755900     56.51000             50
+#> 3237   VR2W-107823     -5.691883     56.49690             25
+#> 3238   VR2W-107823     -5.691883     56.49690             25
+#> 3239   VR2W-107823     -5.691883     56.49690             25
+#> 3240   VR2W-107823     -5.691883     56.49690             25
+#> 3241   VR2W-108160     -5.704867     56.48890             25
+#> 3242   VR2W-108160     -5.704867     56.48890             25
+#> 3243   VR2W-108160     -5.704867     56.48890             25
+#> 3244   VR2W-108160     -5.704867     56.48890             25
+#> 3245   VR2W-108160     -5.704867     56.48890             25
+#> 3246   VR2W-108160     -5.704867     56.48890             25
+#> 3247   VR2W-108160     -5.704867     56.48890             25
+#> 3248   VR2W-108160     -5.704867     56.48890             25
+#> 3249   VR2W-108160     -5.704867     56.48890             25
+#> 3250   VR2W-108160     -5.704867     56.48890             25
+#> 3251   VR2W-108160     -5.704867     56.48890             25
+#> 3252   VR2W-108160     -5.704867     56.48890             25
+#> 3253   VR2W-108160     -5.704867     56.48890             25
+#> 3254   VR2W-108160     -5.704867     56.48890             25
+#> 3255   VR2W-108160     -5.704867     56.48890             25
+#> 3256   VR2W-108160     -5.704867     56.48890             25
+#> 3257   VR2W-108160     -5.704867     56.48890             25
+#> 3258   VR2W-108160     -5.704867     56.48890             25
+#> 3259   VR2W-108160     -5.704867     56.48890             25
+#> 3260   VR2W-108160     -5.704867     56.48890             25
+#> 3261   VR2W-108160     -5.704867     56.48890             25
+#> 3262   VR2W-108160     -5.704867     56.48890             25
+#> 3263   VR2W-108160     -5.704867     56.48890             25
+#> 3264   VR2W-108160     -5.704867     56.48890             25
+#> 3265  VR2AR-546136     -5.665000     56.48650            105
+#> 3266  VR2AR-546136     -5.665000     56.48650            105
+#> 3267  VR2AR-546136     -5.665000     56.48650            105
+#> 3268  VR2AR-546136     -5.665000     56.48650            105
+#> 3269  VR2AR-546136     -5.665000     56.48650            105
+#> 3270  VR2AR-546136     -5.665000     56.48650            105
+#> 3271  VR2AR-546136     -5.665000     56.48650            105
+#> 3272  VR2AR-546136     -5.665000     56.48650            105
+#> 3273  VR2AR-546136     -5.665000     56.48650            105
+#> 3274  VR2AR-546136     -5.665000     56.48650            105
+#> 3275  VR2AR-546136     -5.665000     56.48650            105
+#> 3276  VR2AR-546136     -5.665000     56.48650            105
+#> 3277  VR2AR-546136     -5.665000     56.48650            105
+#> 3278  VR2AR-546136     -5.665000     56.48650            105
+#> 3279  VR2AR-546136     -5.665000     56.48650            105
+#> 3280  VR2AR-546136     -5.665000     56.48650            105
+#> 3281  VR2AR-546136     -5.665000     56.48650            105
+#> 3282  VR2AR-546136     -5.665000     56.48650            105
+#> 3283  VR2AR-546136     -5.665000     56.48650            105
+#> 3284  VR2AR-546136     -5.665000     56.48650            105
+#> 3285  VR2AR-546136     -5.665000     56.48650            105
+#> 3286  VR2AR-546136     -5.665000     56.48650            105
+#> 3287  VR2AR-546136     -5.665000     56.48650            105
+#> 3288  VR2AR-546136     -5.665000     56.48650            105
+#> 3289  VR2AR-546136     -5.665000     56.48650            105
+#> 3290  VR2AR-546136     -5.665000     56.48650            105
+#> 3291   VR2W-108160     -5.704867     56.48890             25
+#> 3292   VR2W-108160     -5.704867     56.48890             25
+#> 3293   VR2W-108160     -5.704867     56.48890             25
+#> 3294   VR2W-108160     -5.704867     56.48890             25
+#> 3295   VR2W-108160     -5.704867     56.48890             25
+#> 3296   VR2W-113141     -5.755900     56.51000             50
+#> 3297   VR2W-113141     -5.755900     56.51000             50
+#> 3298   VR2W-113141     -5.755900     56.51000             50
+#> 3299   VR2W-113141     -5.755900     56.51000             50
+#> 3300   VR2W-113141     -5.755900     56.51000             50
+#> 3301   VR2W-113141     -5.755900     56.51000             50
+#> 3302   VR2W-113141     -5.755900     56.51000             50
+#> 3303   VR2W-113141     -5.755900     56.51000             50
+#> 3304   VR2W-113141     -5.755900     56.51000             50
+#> 3305   VR2W-113141     -5.755900     56.51000             50
+#> 3306   VR2W-113141     -5.755900     56.51000             50
+#> 3307   VR2W-113141     -5.755900     56.51000             50
+#> 3308   VR2W-113141     -5.755900     56.51000             50
+#> 3309   VR2W-113141     -5.755900     56.51000             50
+#> 3310   VR2W-113141     -5.755900     56.51000             50
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+#> 3312   VR2W-113141     -5.755900     56.51000             50
+#> 3313   VR2W-113141     -5.755900     56.51000             50
+#> 3314   VR2W-113141     -5.755900     56.51000             50
+#> 3315   VR2W-113141     -5.755900     56.51000             50
+#> 3316   VR2W-113141     -5.755900     56.51000             50
+#> 3317   VR2W-113141     -5.755900     56.51000             50
+#> 3318   VR2W-113141     -5.755900     56.51000             50
+#> 3319   VR2W-113141     -5.755900     56.51000             50
+#> 3320   VR2W-113141     -5.755900     56.51000             50
+#> 3321   VR2W-113141     -5.755900     56.51000             50
+#> 3322   VR2W-113141     -5.755900     56.51000             50
+#> 3323   VR2W-113141     -5.755900     56.51000             50
+#> 3324   VR2W-113141     -5.755900     56.51000             50
+#> 3325   VR2W-113141     -5.755900     56.51000             50
+#> 3326   VR2W-113141     -5.755900     56.51000             50
+#> 3327   VR2W-113141     -5.755900     56.51000             50
+#> 3328   VR2W-113141     -5.755900     56.51000             50
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+#> 3333   VR2W-113141     -5.755900     56.51000             50
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+#> 3340   VR2W-113141     -5.755900     56.51000             50
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+#> 3343   VR2W-113141     -5.755900     56.51000             50
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+#> 3349   VR2W-113141     -5.755900     56.51000             50
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+#> 3380   VR2W-113141     -5.755900     56.51000             50
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+#> 3397   VR2W-113141     -5.755900     56.51000             50
+#> 3398   VR2W-113141     -5.755900     56.51000             50
+#> 3399   VR2W-113141     -5.755900     56.51000             50
+#> 3400   VR2W-113141     -5.755900     56.51000             50
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+#> 3403   VR2W-113141     -5.755900     56.51000             50
+#> 3404   VR2W-113141     -5.755900     56.51000             50
+#> 3405   VR2W-113141     -5.755900     56.51000             50
+#> 3406   VR2W-113141     -5.755900     56.51000             50
+#> 3407   VR2W-113141     -5.755900     56.51000             50
+#> 3408   VR2W-113141     -5.755900     56.51000             50
+#> 3409   VR2W-113141     -5.755900     56.51000             50
+#> 3410   VR2W-113141     -5.755900     56.51000             50
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+#> 3412   VR2W-113141     -5.755900     56.51000             50
+#> 3413   VR2W-113141     -5.755900     56.51000             50
+#> 3414   VR2W-113141     -5.755900     56.51000             50
+#> 3415   VR2W-113141     -5.755900     56.51000             50
+#> 3416   VR2W-113141     -5.755900     56.51000             50
+#> 3417   VR2W-113141     -5.755900     56.51000             50
+#> 3418   VR2W-113141     -5.755900     56.51000             50
+#> 3419   VR2W-113141     -5.755900     56.51000             50
+#> 3420   VR2W-113141     -5.755900     56.51000             50
+#> 3421   VR2W-113141     -5.755900     56.51000             50
+#> 3422   VR2W-113141     -5.755900     56.51000             50
+#> 3423   VR2W-113141     -5.755900     56.51000             50
+#> 3424   VR2W-113141     -5.755900     56.51000             50
+#> 3425   VR2W-113141     -5.755900     56.51000             50
+#> 3426   VR2W-113141     -5.755900     56.51000             50
+#> 3427   VR2W-113141     -5.755900     56.51000             50
+#> 3428   VR2W-113141     -5.755900     56.51000             50
+#> 3429   VR2W-113141     -5.755900     56.51000             50
+#> 3430   VR2W-113141     -5.755900     56.51000             50
+#> 3431   VR2W-113141     -5.755900     56.51000             50
+#> 3432   VR2W-113141     -5.755900     56.51000             50
+#> 3433   VR2W-113141     -5.755900     56.51000             50
+#> 3434   VR2W-113141     -5.755900     56.51000             50
+#> 3435   VR2W-113141     -5.755900     56.51000             50
+#> 3436   VR2W-113141     -5.755900     56.51000             50
+#> 3437   VR2W-113141     -5.755900     56.51000             50
+#> 3438   VR2W-113141     -5.755900     56.51000             50
+#> 3439   VR2W-113141     -5.755900     56.51000             50
+#> 3440   VR2W-113141     -5.755900     56.51000             50
+#> 3441   VR2W-113141     -5.755900     56.51000             50
+#> 3442   VR2W-113141     -5.755900     56.51000             50
+#> 3443   VR2W-113141     -5.755900     56.51000             50
+#> 3444   VR2W-113141     -5.755900     56.51000             50
+#> 3445   VR2W-113141     -5.755900     56.51000             50
+#> 3446   VR2W-113141     -5.755900     56.51000             50
+#> 3447   VR2W-113141     -5.755900     56.51000             50
+#> 3448   VR2W-113141     -5.755900     56.51000             50
+#> 3449   VR2W-113141     -5.755900     56.51000             50
+#> 3450   VR2W-113141     -5.755900     56.51000             50
+#> 3451   VR2W-113141     -5.755900     56.51000             50
+#> 3452   VR2W-113141     -5.755900     56.51000             50
+#> 3453   VR2W-113141     -5.755900     56.51000             50
+#> 3454   VR2W-113141     -5.755900     56.51000             50
+#> 3455   VR2W-113141     -5.755900     56.51000             50
+#> 3456   VR2W-113141     -5.755900     56.51000             50
+#> 3457   VR2W-113141     -5.755900     56.51000             50
+#> 3458   VR2W-113141     -5.755900     56.51000             50
+#> 3459   VR2W-113141     -5.755900     56.51000             50
+#> 3460   VR2W-113141     -5.755900     56.51000             50
+#> 3461   VR2W-113141     -5.755900     56.51000             50
+#> 3462   VR2W-113141     -5.755900     56.51000             50
+#> 3463   VR2W-113141     -5.755900     56.51000             50
+#> 3464   VR2W-113141     -5.755900     56.51000             50
+#> 3465   VR2W-113141     -5.755900     56.51000             50
+#> 3466   VR2W-113141     -5.755900     56.51000             50
+#> 3467   VR2W-113141     -5.755900     56.51000             50
+#> 3468   VR2W-113141     -5.755900     56.51000             50
+#> 3469   VR2W-113141     -5.755900     56.51000             50
+#> 3470   VR2W-113141     -5.755900     56.51000             50
+#> 3471   VR2W-113141     -5.755900     56.51000             50
+#> 3472   VR2W-113141     -5.755900     56.51000             50
+#> 3473   VR2W-113141     -5.755900     56.51000             50
+#> 3474   VR2W-113141     -5.755900     56.51000             50
+#> 3475   VR2W-113141     -5.755900     56.51000             50
+#> 3476   VR2W-113141     -5.755900     56.51000             50
+#> 3477   VR2W-113141     -5.755900     56.51000             50
+#> 3478   VR2W-113141     -5.755900     56.51000             50
+#> 3479   VR2W-113141     -5.755900     56.51000             50
+#> 3480   VR2W-113141     -5.755900     56.51000             50
+#> 3481   VR2W-113141     -5.755900     56.51000             50
+#> 3482   VR2W-113141     -5.755900     56.51000             50
+#> 3483   VR2W-113141     -5.755900     56.51000             50
+#> 3484   VR2W-113141     -5.755900     56.51000             50
+#> 3485   VR2W-113141     -5.755900     56.51000             50
+#> 3486   VR2W-113141     -5.755900     56.51000             50
+#> 3487   VR2W-113141     -5.755900     56.51000             50
+#> 3488   VR2W-113141     -5.755900     56.51000             50
+#> 3489   VR2W-113141     -5.755900     56.51000             50
+#> 3490   VR2W-113141     -5.755900     56.51000             50
+#> 3491   VR2W-113141     -5.755900     56.51000             50
+#> 3492   VR2W-113141     -5.755900     56.51000             50
+#> 3493   VR2W-113141     -5.755900     56.51000             50
+#> 3494   VR2W-113141     -5.755900     56.51000             50
+#> 3495   VR2W-113141     -5.755900     56.51000             50
+#> 3496   VR2W-113141     -5.755900     56.51000             50
+#> 3497   VR2W-113141     -5.755900     56.51000             50
+#> 3498   VR2W-113141     -5.755900     56.51000             50
+#> 3499   VR2W-113141     -5.755900     56.51000             50
+#> 3500   VR2W-113141     -5.755900     56.51000             50
+#> 3501   VR2W-113141     -5.755900     56.51000             50
+#> 3502   VR2W-113141     -5.755900     56.51000             50
+#> 3503   VR2W-113141     -5.755900     56.51000             50
+#> 3504   VR2W-113141     -5.755900     56.51000             50
+#> 3505   VR2W-113141     -5.755900     56.51000             50
+#> 3506   VR2W-113141     -5.755900     56.51000             50
+#> 3507   VR2W-113141     -5.755900     56.51000             50
+#> 3508   VR2W-113141     -5.755900     56.51000             50
+#> 3509   VR2W-113141     -5.755900     56.51000             50
+#> 3510   VR2W-113141     -5.755900     56.51000             50
+#> 3511   VR2W-113141     -5.755900     56.51000             50
+#> 3512   VR2W-113141     -5.755900     56.51000             50
+#> 3513   VR2W-113141     -5.755900     56.51000             50
+#> 3514   VR2W-113141     -5.755900     56.51000             50
+#> 3515   VR2W-113141     -5.755900     56.51000             50
+#> 3516   VR2W-113141     -5.755900     56.51000             50
+#> 3517   VR2W-113141     -5.755900     56.51000             50
+#> 3518   VR2W-113141     -5.755900     56.51000             50
+#> 3519   VR2W-113141     -5.755900     56.51000             50
+#> 3520   VR2W-113141     -5.755900     56.51000             50
+#> 3521   VR2W-113141     -5.755900     56.51000             50
+#> 3522   VR2W-113141     -5.755900     56.51000             50
+#> 3523   VR2W-113141     -5.755900     56.51000             50
+#> 3524   VR2W-113141     -5.755900     56.51000             50
+#> 3525   VR2W-113141     -5.755900     56.51000             50
+#> 3526   VR2W-113141     -5.755900     56.51000             50
+#> 3527   VR2W-113141     -5.755900     56.51000             50
+#> 3528   VR2W-113141     -5.755900     56.51000             50
+#> 3529   VR2W-113141     -5.755900     56.51000             50
+#> 3530   VR2W-113141     -5.755900     56.51000             50
+#> 3531   VR2W-113141     -5.755900     56.51000             50
+#> 3532   VR2W-113141     -5.755900     56.51000             50
+#> 3533   VR2W-113141     -5.755900     56.51000             50
+#> 3534   VR2W-113141     -5.755900     56.51000             50
+#> 3535   VR2W-113141     -5.755900     56.51000             50
+#> 3536   VR2W-113141     -5.755900     56.51000             50
+#> 3537   VR2W-113141     -5.755900     56.51000             50
+#> 3538   VR2W-113141     -5.755900     56.51000             50
+#> 3539   VR2W-113141     -5.755900     56.51000             50
+#> 3540   VR2W-113141     -5.755900     56.51000             50
+#> 3541   VR2W-113141     -5.755900     56.51000             50
+#> 3542   VR2W-113141     -5.755900     56.51000             50
+#> 3543   VR2W-113141     -5.755900     56.51000             50
+#> 3544   VR2W-113141     -5.755900     56.51000             50
+#> 3545   VR2W-113141     -5.755900     56.51000             50
+#> 3546   VR2W-113141     -5.755900     56.51000             50
+#> 3547   VR2W-113141     -5.755900     56.51000             50
+#> 3548   VR2W-113141     -5.755900     56.51000             50
+#> 3549   VR2W-113141     -5.755900     56.51000             50
+#> 3550   VR2W-113141     -5.755900     56.51000             50
+#> 3551   VR2W-113141     -5.755900     56.51000             50
+#> 3552   VR2W-113141     -5.755900     56.51000             50
+#> 3553   VR2W-113141     -5.755900     56.51000             50
+#> 3554   VR2W-113141     -5.755900     56.51000             50
+#> 3555   VR2W-113141     -5.755900     56.51000             50
+#> 3556   VR2W-113141     -5.755900     56.51000             50
+#> 3557   VR2W-113141     -5.755900     56.51000             50
+#> 3558   VR2W-113141     -5.755900     56.51000             50
+#> 3559   VR2W-113141     -5.755900     56.51000             50
+#> 3560   VR2W-113141     -5.755900     56.51000             50
+#> 3561   VR2W-113141     -5.755900     56.51000             50
+#> 3562   VR2W-113141     -5.755900     56.51000             50
+#> 3563   VR2W-113141     -5.755900     56.51000             50
+#> 3564   VR2W-113141     -5.755900     56.51000             50
+#> 3565   VR2W-113141     -5.755900     56.51000             50
+#> 3566   VR2W-113141     -5.755900     56.51000             50
+#> 3567   VR2W-113141     -5.755900     56.51000             50
+#> 3568   VR2W-113141     -5.755900     56.51000             50
+#> 3569   VR2W-113141     -5.755900     56.51000             50
+#> 3570   VR2W-113141     -5.755900     56.51000             50
+#> 3571   VR2W-113141     -5.755900     56.51000             50
+#> 3572   VR2W-113141     -5.755900     56.51000             50
+#> 3573   VR2W-113141     -5.755900     56.51000             50
+#> 3574   VR2W-113141     -5.755900     56.51000             50
+#> 3575   VR2W-113141     -5.755900     56.51000             50
+#> 3576   VR2W-113141     -5.755900     56.51000             50
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+#> 3578   VR2W-113141     -5.755900     56.51000             50
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+#> 3580   VR2W-113141     -5.755900     56.51000             50
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+#> 3656   VR2W-113141     -5.755900     56.51000             50
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+#> 3661   VR2W-113141     -5.755900     56.51000             50
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+#> 3682   VR2W-113141     -5.755900     56.51000             50
+#> 3683   VR2W-113141     -5.755900     56.51000             50
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+#> 3688   VR2W-113141     -5.755900     56.51000             50
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+#> 3708   VR2W-113141     -5.755900     56.51000             50
+#> 3709   VR2W-113141     -5.755900     56.51000             50
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+#> 3736   VR2W-113141     -5.755900     56.51000             50
+#> 3737   VR2W-113141     -5.755900     56.51000             50
+#> 3738   VR2W-113141     -5.755900     56.51000             50
+#> 3739   VR2W-113141     -5.755900     56.51000             50
+#> 3740   VR2W-113141     -5.755900     56.51000             50
+#> 3741   VR2W-113141     -5.755900     56.51000             50
+#> 3742   VR2W-113141     -5.755900     56.51000             50
+#> 3743   VR2W-113141     -5.755900     56.51000             50
+#> 3744   VR2W-113141     -5.755900     56.51000             50
+#> 3745   VR2W-113141     -5.755900     56.51000             50
+#> 3746   VR2W-113141     -5.755900     56.51000             50
+#> 3747   VR2W-113141     -5.755900     56.51000             50
+#> 3748   VR2W-113141     -5.755900     56.51000             50
+#> 3749   VR2W-113141     -5.755900     56.51000             50
+#> 3750   VR2W-113141     -5.755900     56.51000             50
+#> 3751   VR2W-113141     -5.755900     56.51000             50
+#> 3752   VR2W-113141     -5.755900     56.51000             50
+#> 3753   VR2W-113141     -5.755900     56.51000             50
+#> 3754   VR2W-113141     -5.755900     56.51000             50
+#> 3755   VR2W-113141     -5.755900     56.51000             50
+#> 3756   VR2W-113141     -5.755900     56.51000             50
+#> 3757   VR2W-113141     -5.755900     56.51000             50
+#> 3758   VR2W-113141     -5.755900     56.51000             50
+#> 3759   VR2W-113141     -5.755900     56.51000             50
+#> 3760   VR2W-113141     -5.755900     56.51000             50
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+#> 3763   VR2W-113141     -5.755900     56.51000             50
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+#> 3797   VR2W-113141     -5.755900     56.51000             50
+#> 3798   VR2W-113141     -5.755900     56.51000             50
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+#> 3802   VR2W-113141     -5.755900     56.51000             50
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+#> 3804   VR2W-113141     -5.755900     56.51000             50
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+#> 3806   VR2W-113141     -5.755900     56.51000             50
+#> 3807   VR2W-113141     -5.755900     56.51000             50
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+#> 3812   VR2W-113141     -5.755900     56.51000             50
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+#> 3819   VR2W-113141     -5.755900     56.51000             50
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+#> 3831   VR2W-113141     -5.755900     56.51000             50
+#> 3832   VR2W-113141     -5.755900     56.51000             50
+#> 3833   VR2W-113141     -5.755900     56.51000             50
+#> 3834   VR2W-108160     -5.704867     56.48890             25
+#> 3835   VR2W-108160     -5.704867     56.48890             25
+#> 3836   VR2W-108160     -5.704867     56.48890             25
+#> 3837   VR2W-108160     -5.704867     56.48890             25
+#> 3838   VR2W-108160     -5.704867     56.48890             25
+#> 3839   VR2W-108160     -5.704867     56.48890             25
+#> 3840   VR2W-108160     -5.704867     56.48890             25
+#> 3841   VR2W-108160     -5.704867     56.48890             25
+#> 3842   VR2W-108160     -5.704867     56.48890             25
+#> 3843   VR2W-108160     -5.704867     56.48890             25
+#> 3844   VR2W-108160     -5.704867     56.48890             25
+#> 3845   VR2W-108160     -5.704867     56.48890             25
+#> 3846   VR2W-108160     -5.704867     56.48890             25
+#> 3847   VR2W-108160     -5.704867     56.48890             25
+#> 3848  VR2AR-546136     -5.665000     56.48650            105
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+#> 3889   VR2W-108160     -5.704867     56.48890             25
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+#> 4000   VR2W-113141     -5.755900     56.51000             50
+#> 4001   VR2W-113141     -5.755900     56.51000             50
+#> 4002   VR2W-113141     -5.755900     56.51000             50
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+#> 4007   VR2W-113141     -5.755900     56.51000             50
+#> 4008   VR2W-113141     -5.755900     56.51000             50
+#> 4009      VR2-6720     -5.627150     56.50808             50
+#> 4010      VR2-6720     -5.627150     56.50808             50
+#> 4011   VR2W-113898     -5.596367     56.51122             50
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+#> 4027   VR2W-108160     -5.704867     56.48890             25
+#> 4028   VR2W-108160     -5.704867     56.48890             25
+#> 4029   VR2W-113141     -5.755900     56.51000             50
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+#> 4033   VR2W-113141     -5.755900     56.51000             50
+#> 4034   VR2W-113141     -5.755900     56.51000             50
+#> 4035   VR2W-113141     -5.755900     56.51000             50
+#> 4036   VR2W-113141     -5.755900     56.51000             50
+#> 4037   VR2W-113141     -5.755900     56.51000             50
+#> 4038   VR2W-113141     -5.755900     56.51000             50
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+#> 4046   VR2W-113141     -5.755900     56.51000             50
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+#> 4048   VR2W-113141     -5.755900     56.51000             50
+#> 4049   VR2W-113141     -5.755900     56.51000             50
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+#> 5531   VR2W-108158     -5.619533     56.37413             25
+#> 5532   VR2W-108158     -5.619533     56.37413             25
+#> 5533   VR2W-108158     -5.619533     56.37413             25
+#> 5534   VR2W-108158     -5.619533     56.37413             25
+#> 5535   VR2W-108158     -5.619533     56.37413             25
+#> 5536   VR2W-108158     -5.619533     56.37413             25
+#> 5537   VR2W-108158     -5.619533     56.37413             25
+#> 5538   VR2W-108158     -5.619533     56.37413             25
+#> 5539   VR2W-108158     -5.619533     56.37413             25
+#> 5540   VR2W-108158     -5.619533     56.37413             25
+#> 5541   VR2W-108158     -5.619533     56.37413             25
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+#> 5543   VR2W-108158     -5.619533     56.37413             25
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+#> 5545   VR2W-108158     -5.619533     56.37413             25
+#> 5546   VR2W-108158     -5.619533     56.37413             25
+#> 5547   VR2W-108158     -5.619533     56.37413             25
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+#> 5549   VR2W-108158     -5.619533     56.37413             25
+#> 5550   VR2W-108158     -5.619533     56.37413             25
+#> 5551   VR2W-108158     -5.619533     56.37413             25
+#> 5552   VR2W-108158     -5.619533     56.37413             25
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+#> 5556  VR2AR-546131     -5.612700     56.37988             35
+#> 5557  VR2AR-546131     -5.612700     56.37988             35
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+#> 5569  VR2AR-546131     -5.612700     56.37988             35
+#> 5570  VR2AR-546131     -5.612700     56.37988             35
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+#> 5582  VR2AR-546131     -5.612700     56.37988             35
+#> 5583  VR2AR-546131     -5.612700     56.37988             35
+#> 5584  VR2AR-546131     -5.612700     56.37988             35
+#> 5585  VR2AR-546131     -5.612700     56.37988             35
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+#> 5591   VR2W-108161     -5.605383     56.46018             25
+#> 5592   VR2W-108161     -5.605383     56.46018             25
+#> 5593   VR2W-108161     -5.605383     56.46018             25
+#> 5594   VR2W-108161     -5.605383     56.46018             25
+#> 5595   VR2W-108161     -5.605383     56.46018             25
+#> 5596   VR2W-108161     -5.605383     56.46018             25
+#> 5597   VR2W-108161     -5.605383     56.46018             25
+#> 5598   VR2W-108161     -5.605383     56.46018             25
+#> 5599   VR2W-108161     -5.605383     56.46018             25
+#> 5600   VR2W-108161     -5.605383     56.46018             25
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+#> 5602   VR2W-108161     -5.605383     56.46018             25
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+#> 5617  VR2AR-546131     -5.612700     56.37988             35
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+#> 5620  VR2AR-546131     -5.612700     56.37988             35
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+#> 5625  VR2AR-546131     -5.612700     56.37988             35
+#> 5626  VR2AR-546131     -5.612700     56.37988             35
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+#> 5628  VR2AR-546131     -5.612700     56.37988             35
+#> 5629  VR2AR-546131     -5.612700     56.37988             35
+#> 5630  VR2AR-546131     -5.612700     56.37988             35
+#> 5631  VR2AR-546131     -5.612700     56.37988             35
+#> 5632  VR2AR-546131     -5.612700     56.37988             35
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+#> 5634  VR2AR-546131     -5.612700     56.37988             35
+#> 5635  VR2AR-546131     -5.612700     56.37988             35
+#> 5636  VR2AR-546131     -5.612700     56.37988             35
+#> 5637  VR2AR-546131     -5.612700     56.37988             35
+#> 5638  VR2AR-546131     -5.612700     56.37988             35
+#> 5639  VR2AR-546131     -5.612700     56.37988             35
+#> 5640  VR2AR-546131     -5.612700     56.37988             35
+#> 5641  VR2AR-546131     -5.612700     56.37988             35
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+#> 5643  VR2AR-546131     -5.612700     56.37988             35
+#> 5644  VR2AR-546131     -5.612700     56.37988             35
+#> 5645  VR2AR-546131     -5.612700     56.37988             35
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+#> 5648  VR2AR-546136     -5.626250     56.44810             75
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+#> 5650   VR2W-108161     -5.605383     56.46018             25
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+#> 5653  VR2AR-546136     -5.626250     56.44810             75
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+#> 5669  VR2AR-546131     -5.612700     56.37988             35
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+#> 5680  VR2AR-546131     -5.612700     56.37988             35
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+#> 5815  VR2AR-546131     -5.612700     56.37988             35
+#> 5816  VR2AR-546131     -5.612700     56.37988             35
+#> 5817  VR2AR-546131     -5.612700     56.37988             35
+#> 5818  VR2AR-546131     -5.612700     56.37988             35
+#> 5819  VR2AR-546131     -5.612700     56.37988             35
+#> 5820  VR2AR-546131     -5.612700     56.37988             35
+#> 5821  VR2AR-546131     -5.612700     56.37988             35
+#> 5822  VR2AR-546131     -5.612700     56.37988             35
+#> 5823  VR2AR-546131     -5.612700     56.37988             35
+#> 5824  VR2AR-546131     -5.612700     56.37988             35
+#> 5825  VR2AR-546131     -5.612700     56.37988             35
+#> 5826  VR2AR-546131     -5.612700     56.37988             35
+#> 5827  VR2AR-546131     -5.612700     56.37988             35
+#> 5828  VR2AR-546131     -5.612700     56.37988             35
+#> 5829  VR2AR-546131     -5.612700     56.37988             35
+#> 5830  VR2AR-546131     -5.612700     56.37988             35
+#> 5831  VR2AR-546131     -5.612700     56.37988             35
+#> 5832  VR2AR-546131     -5.612700     56.37988             35
+#> 5833  VR2AR-546131     -5.612700     56.37988             35
+#> 5834  VR2AR-546131     -5.612700     56.37988             35
+#> 5835  VR2AR-546131     -5.612700     56.37988             35
+#> 5836  VR2AR-546131     -5.612700     56.37988             35
+#> 5837  VR2AR-546131     -5.612700     56.37988             35
+#> 5838  VR2AR-546131     -5.612700     56.37988             35
+#> 5839  VR2AR-546131     -5.612700     56.37988             35
+#> 5840  VR2AR-546131     -5.612700     56.37988             35
+#> 5841  VR2AR-546131     -5.612700     56.37988             35
+#> 5842  VR2AR-546131     -5.612700     56.37988             35
+#> 5843  VR2AR-546131     -5.612700     56.37988             35
+#> 5844  VR2AR-546131     -5.612700     56.37988             35
+#> 5845  VR2AR-546131     -5.612700     56.37988             35
+#> 5846  VR2AR-546131     -5.612700     56.37988             35
+#> 5847  VR2AR-546131     -5.612700     56.37988             35
+#> 5848  VR2AR-546131     -5.612700     56.37988             35
+#> 5849  VR2AR-546131     -5.612700     56.37988             35
+#> 5850  VR2AR-546131     -5.612700     56.37988             35
+#> 5851  VR2AR-546131     -5.612700     56.37988             35
+#> 5852  VR2AR-546131     -5.612700     56.37988             35
+#> 5853  VR2AR-546131     -5.612700     56.37988             35
+#> 5854  VR2AR-546131     -5.612700     56.37988             35
+#> 5855  VR2AR-546131     -5.612700     56.37988             35
+#> 5856  VR2AR-546131     -5.612700     56.37988             35
+#> 5857  VR2AR-546131     -5.612700     56.37988             35
+#> 5858  VR2AR-546131     -5.612700     56.37988             35
+#> 5859  VR2AR-546131     -5.612700     56.37988             35
+#> 5860  VR2AR-546131     -5.612700     56.37988             35
+#> 5861  VR2AR-546131     -5.612700     56.37988             35
+#> 5862  VR2AR-546136     -5.626250     56.44810             75
+#> 5863  VR2AR-546136     -5.626250     56.44810             75
+#> 5864  VR2AR-546136     -5.626250     56.44810             75
+#> 5865  VR2AR-546136     -5.626250     56.44810             75
+#> 5866  VR2AR-546136     -5.626250     56.44810             75
+#> 5867  VR2AR-546136     -5.626250     56.44810             75
+#> 5868  VR2AR-546136     -5.626250     56.44810             75
+#> 5869  VR2AR-546136     -5.626250     56.44810             75
+#> 5870  VR2AR-546136     -5.626250     56.44810             75
+#> 5871  VR2AR-546136     -5.626250     56.44810             75
+#> 5872  VR2AR-546136     -5.626250     56.44810             75
+#> 5873  VR2AR-546136     -5.626250     56.44810             75
+#> 5874  VR2AR-546136     -5.626250     56.44810             75
+#> 5875  VR2AR-546136     -5.626250     56.44810             75
+#> 5876  VR2AR-546136     -5.626250     56.44810             75
+#> 5877  VR2AR-546136     -5.626250     56.44810             75
+#> 5878  VR2AR-546136     -5.626250     56.44810             75
+#> 5879  VR2AR-546136     -5.626250     56.44810             75
+#> 5880  VR2AR-546136     -5.626250     56.44810             75
+#> 5881  VR2AR-546136     -5.626250     56.44810             75
+#> 5882  VR2AR-546136     -5.626250     56.44810             75
+#> 5883  VR2AR-546136     -5.626250     56.44810             75
+#> 5884  VR2AR-546136     -5.626250     56.44810             75
+#> 5885  VR2AR-546136     -5.626250     56.44810             75
+#> 5886  VR2AR-546136     -5.626250     56.44810             75
+#> 5887  VR2AR-546136     -5.626250     56.44810             75
+#> 5888  VR2AR-546131     -5.612700     56.37988             35
+#> 5889  VR2AR-546131     -5.612700     56.37988             35
+#> 5890  VR2AR-546131     -5.612700     56.37988             35
+#> 5891  VR2AR-546131     -5.612700     56.37988             35
+#> 5892  VR2AR-546131     -5.612700     56.37988             35
+#> 5893  VR2AR-546131     -5.612700     56.37988             35
+#> 5894  VR2AR-546131     -5.612700     56.37988             35
+#> 5895  VR2AR-546131     -5.612700     56.37988             35
+#> 5896  VR2AR-546131     -5.612700     56.37988             35
+#> 5897  VR2AR-546131     -5.612700     56.37988             35
+#> 5898  VR2AR-546131     -5.612700     56.37988             35
+#> 5899  VR2AR-546131     -5.612700     56.37988             35
+#> 5900  VR2AR-546131     -5.612700     56.37988             35
+#> 5901  VR2AR-546131     -5.612700     56.37988             35
+#> 5902  VR2AR-546131     -5.612700     56.37988             35
+#> 5903  VR2AR-546131     -5.612700     56.37988             35
+#> 5904  VR2AR-546131     -5.612700     56.37988             35
+#> 5905  VR2AR-546131     -5.612700     56.37988             35
+#> 5906  VR2AR-546131     -5.612700     56.37988             35
+#> 5907  VR2AR-546131     -5.612700     56.37988             35
+#> 5908  VR2AR-546131     -5.612700     56.37988             35
+#> 5909  VR2AR-546131     -5.612700     56.37988             35
+#> 5910  VR2AR-546131     -5.612700     56.37988             35
+#> 5911  VR2AR-546131     -5.612700     56.37988             35
+#> 5912  VR2AR-546131     -5.612700     56.37988             35
+#> 5913  VR2AR-546131     -5.612700     56.37988             35
+#> 5914  VR2AR-546131     -5.612700     56.37988             35
+#> 5915  VR2AR-546131     -5.612700     56.37988             35
+#> 5916  VR2AR-546131     -5.612700     56.37988             35
+#> 5917  VR2AR-546131     -5.612700     56.37988             35
+#> 5918  VR2AR-546131     -5.612700     56.37988             35
+#> 5919  VR2AR-546131     -5.612700     56.37988             35
+#> 5920  VR2AR-546131     -5.612700     56.37988             35
+#> 5921  VR2AR-546131     -5.612700     56.37988             35
+#> 5922  VR2AR-546131     -5.612700     56.37988             35
+#> 5923  VR2AR-546131     -5.612700     56.37988             35
+#> 5924  VR2AR-546131     -5.612700     56.37988             35
+#> 5925  VR2AR-546131     -5.612700     56.37988             35
+#> 5926  VR2AR-546131     -5.612700     56.37988             35
+#> 5927  VR2AR-546131     -5.612700     56.37988             35
+#> 5928  VR2AR-546131     -5.612700     56.37988             35
+#> 5929  VR2AR-546131     -5.612700     56.37988             35
+#> 5930  VR2AR-546131     -5.612700     56.37988             35
+#> 5931  VR2AR-546131     -5.612700     56.37988             35
+#> 5932  VR2AR-546131     -5.612700     56.37988             35
+#> 5933  VR2AR-546131     -5.612700     56.37988             35
+#> 5934  VR2AR-546131     -5.612700     56.37988             35
+#> 5935  VR2AR-546131     -5.612700     56.37988             35
+#> 5936  VR2AR-546131     -5.612700     56.37988             35
+#> 5937  VR2AR-546131     -5.612700     56.37988             35
+#> 5938  VR2AR-546131     -5.612700     56.37988             35
+#> 5939  VR2AR-546131     -5.612700     56.37988             35
+#> 5940  VR2AR-546131     -5.612700     56.37988             35
+#> 5941  VR2AR-546131     -5.612700     56.37988             35
+#> 5942  VR2AR-546131     -5.612700     56.37988             35
+#> 5943  VR2AR-546131     -5.612700     56.37988             35
+#> 5944  VR2AR-546131     -5.612700     56.37988             35
+#> 5945  VR2AR-546131     -5.612700     56.37988             35
+#> 5946  VR2AR-546131     -5.612700     56.37988             35
+#> 5947  VR2AR-546131     -5.612700     56.37988             35
+#> 5948  VR2AR-546131     -5.612700     56.37988             35
+#> 5949  VR2AR-546131     -5.612700     56.37988             35
+#> 5950  VR2AR-546131     -5.612700     56.37988             35
+#> 5951  VR2AR-546131     -5.612700     56.37988             35
+#> 5952  VR2AR-546131     -5.612700     56.37988             35
+#> 5953  VR2AR-546131     -5.612700     56.37988             35
+#> 5954  VR2AR-546131     -5.612700     56.37988             35
+#> 5955  VR2AR-546131     -5.612700     56.37988             35
+#> 5956  VR2AR-546131     -5.612700     56.37988             35
+#> 5957  VR2AR-546131     -5.612700     56.37988             35
+#> 5958  VR2AR-546131     -5.612700     56.37988             35
+#> 5959  VR2AR-546131     -5.612700     56.37988             35
+#> 5960  VR2AR-546131     -5.612700     56.37988             35
+#> 5961  VR2AR-546131     -5.612700     56.37988             35
+#> 5962  VR2AR-546131     -5.612700     56.37988             35
+#> 5963  VR2AR-546131     -5.612700     56.37988             35
+#> 5964  VR2AR-546131     -5.612700     56.37988             35
+#> 5965  VR2AR-546131     -5.612700     56.37988             35
+#> 5966  VR2AR-546131     -5.612700     56.37988             35
+#> 5967  VR2AR-546131     -5.612700     56.37988             35
+#> 5968  VR2AR-546131     -5.612700     56.37988             35
+#> 5969  VR2AR-546131     -5.612700     56.37988             35
+#> 5970  VR2AR-546131     -5.612700     56.37988             35
+#> 5971  VR2AR-546131     -5.612700     56.37988             35
+#> 5972  VR2AR-546131     -5.612700     56.37988             35
+#> 5973  VR2AR-546131     -5.612700     56.37988             35
+#> 5974  VR2AR-546131     -5.612700     56.37988             35
+#> 5975  VR2AR-546131     -5.612700     56.37988             35
+#> 5976  VR2AR-546131     -5.612700     56.37988             35
+#> 5977  VR2AR-546131     -5.612700     56.37988             35
+#> 5978  VR2AR-546131     -5.612700     56.37988             35
+#> 5979  VR2AR-546131     -5.612700     56.37988             35
+#> 5980  VR2AR-546131     -5.612700     56.37988             35
+#> 5981  VR2AR-546131     -5.612700     56.37988             35
+#> 5982  VR2AR-546131     -5.612700     56.37988             35
+#> 5983  VR2AR-546131     -5.612700     56.37988             35
+#> 5984  VR2AR-546131     -5.612700     56.37988             35
+#> 5985  VR2AR-546131     -5.612700     56.37988             35
+#> 5986  VR2AR-546131     -5.612700     56.37988             35
+#> 5987  VR2AR-546131     -5.612700     56.37988             35
+#> 5988  VR2AR-546131     -5.612700     56.37988             35
+#> 5989  VR2AR-546131     -5.612700     56.37988             35
+#> 5990  VR2AR-546131     -5.612700     56.37988             35
+#> 5991  VR2AR-546131     -5.612700     56.37988             35
+#> 5992  VR2AR-546131     -5.612700     56.37988             35
+#> 5993  VR2AR-546131     -5.612700     56.37988             35
+#> 5994  VR2AR-546131     -5.612700     56.37988             35
+#> 5995  VR2AR-546131     -5.612700     56.37988             35
+#> 5996  VR2AR-546131     -5.612700     56.37988             35
+#> 5997  VR2AR-546131     -5.612700     56.37988             35
+#> 5998  VR2AR-546131     -5.612700     56.37988             35
+#> 5999  VR2AR-546131     -5.612700     56.37988             35
+#> 6000  VR2AR-546131     -5.612700     56.37988             35
+#> 6001  VR2AR-546131     -5.612700     56.37988             35
+#> 6002  VR2AR-546131     -5.612700     56.37988             35
+#> 6003  VR2AR-546131     -5.612700     56.37988             35
+#> 6004  VR2AR-546131     -5.612700     56.37988             35
+#> 6005  VR2AR-546131     -5.612700     56.37988             35
+#> 6006  VR2AR-546131     -5.612700     56.37988             35
+#> 6007  VR2AR-546131     -5.612700     56.37988             35
+#> 6008  VR2AR-546131     -5.612700     56.37988             35
+#> 6009  VR2AR-546131     -5.612700     56.37988             35
+#> 6010  VR2AR-546131     -5.612700     56.37988             35
+#> 6011  VR2AR-546131     -5.612700     56.37988             35
+#> 6012  VR2AR-546131     -5.612700     56.37988             35
+#> 6013  VR2AR-546131     -5.612700     56.37988             35
+#> 6014  VR2AR-546131     -5.612700     56.37988             35
+#> 6015  VR2AR-546131     -5.612700     56.37988             35
+#> 6016  VR2AR-546131     -5.612700     56.37988             35
+#> 6017  VR2AR-546131     -5.612700     56.37988             35
+#> 6018  VR2AR-546131     -5.612700     56.37988             35
+#> 6019  VR2AR-546131     -5.612700     56.37988             35
+#> 6020  VR2AR-546131     -5.612700     56.37988             35
+#> 6021  VR2AR-546131     -5.612700     56.37988             35
+#> 6022  VR2AR-546131     -5.612700     56.37988             35
+#> 6023  VR2AR-546131     -5.612700     56.37988             35
+#> 6024  VR2AR-546131     -5.612700     56.37988             35
+#> 6025  VR2AR-546131     -5.612700     56.37988             35
+#> 6026  VR2AR-546131     -5.612700     56.37988             35
+#> 6027  VR2AR-546131     -5.612700     56.37988             35
+#> 6028  VR2AR-546131     -5.612700     56.37988             35
+#> 6029  VR2AR-546131     -5.612700     56.37988             35
+#> 6030  VR2AR-546131     -5.612700     56.37988             35
+#> 6031  VR2AR-546131     -5.612700     56.37988             35
+#> 6032  VR2AR-546131     -5.612700     56.37988             35
+#> 6033  VR2AR-546131     -5.612700     56.37988             35
+#> 6034  VR2AR-546131     -5.612700     56.37988             35
+#> 6035  VR2AR-546131     -5.612700     56.37988             35
+#> 6036  VR2AR-546131     -5.612700     56.37988             35
+#> 6037  VR2AR-546131     -5.612700     56.37988             35
+#> 6038  VR2AR-546131     -5.612700     56.37988             35
+#> 6039  VR2AR-546131     -5.612700     56.37988             35
+#> 6040  VR2AR-546131     -5.612700     56.37988             35
+#> 6041  VR2AR-546131     -5.612700     56.37988             35
+#> 6042  VR2AR-546131     -5.612700     56.37988             35
+#> 6043  VR2AR-546131     -5.612700     56.37988             35
+#> 6044  VR2AR-546131     -5.612700     56.37988             35
+#> 6045  VR2AR-546131     -5.612700     56.37988             35
+#> 6046  VR2AR-546131     -5.612700     56.37988             35
+#> 6047  VR2AR-546131     -5.612700     56.37988             35
+#> 6048  VR2AR-546131     -5.612700     56.37988             35
+#> 6049  VR2AR-546131     -5.612700     56.37988             35
+#> 6050  VR2AR-546131     -5.612700     56.37988             35
+#> 6051  VR2AR-546131     -5.612700     56.37988             35
+#> 6052  VR2AR-546380     -5.637917     56.44800             25
+#> 6053  VR2AR-546380     -5.637917     56.44800             25
+#> 6054  VR2AR-546380     -5.637917     56.44800             25
+#> 6055  VR2AR-546380     -5.637917     56.44800             25
+#> 6056  VR2AR-546380     -5.637917     56.44800             25
+#> 6057  VR2AR-546136     -5.626250     56.44810             75
+#> 6058  VR2AR-546136     -5.626250     56.44810             75
+#> 6059  VR2AR-546136     -5.626250     56.44810             75
+#> 6060  VR2AR-546136     -5.626250     56.44810             75
+#> 6061  VR2AR-546136     -5.626250     56.44810             75
+#> 6062  VR2AR-546136     -5.626250     56.44810             75
+#> 6063  VR2AR-546136     -5.626250     56.44810             75
+#> 6064  VR2AR-546136     -5.626250     56.44810             75
+#> 6065  VR2AR-546136     -5.626250     56.44810             75
+#> 6066  VR2AR-546134     -5.643867     56.38278            145
+#> 6067  VR2AR-546134     -5.643867     56.38278            145
+#> 6068  VR2AR-546134     -5.643867     56.38278            145
+#> 6069  VR2AR-546134     -5.643867     56.38278            145
+#> 6070  VR2AR-546134     -5.643867     56.38278            145
+#> 6071  VR2AR-546134     -5.643867     56.38278            145
+#> 6072  VR2AR-546134     -5.643867     56.38278            145
+#> 6073  VR2AR-546134     -5.643867     56.38278            145
+#> 6074  VR2AR-546134     -5.643867     56.38278            145
+#> 6075  VR2AR-546134     -5.643867     56.38278            145
+#> 6076  VR2AR-546134     -5.643867     56.38278            145
+#> 6077  VR2AR-546134     -5.643867     56.38278            145
+#> 6078  VR2AR-546134     -5.643867     56.38278            145
+#> 6079  VR2AR-546134     -5.643867     56.38278            145
+#> 6080  VR2AR-546134     -5.643867     56.38278            145
+#> 6081  VR2AR-546134     -5.643867     56.38278            145
+#> 6082  VR2AR-546134     -5.643867     56.38278            145
+#> 6083  VR2AR-546134     -5.643867     56.38278            145
+#> 6084  VR2AR-546134     -5.643867     56.38278            145
+#> 6085  VR2AR-546134     -5.643867     56.38278            145
+#> 6086  VR2AR-546134     -5.643867     56.38278            145
+#> 6087  VR2AR-546134     -5.643867     56.38278            145
+#> 6088  VR2AR-546134     -5.643867     56.38278            145
+#> 6089  VR2AR-546134     -5.643867     56.38278            145
+#> 6090  VR2AR-546134     -5.643867     56.38278            145
+#> 6091  VR2AR-546134     -5.643867     56.38278            145
+#> 6092  VR2AR-546134     -5.643867     56.38278            145
+#> 6093  VR2AR-546134     -5.643867     56.38278            145
+#> 6094  VR2AR-546134     -5.643867     56.38278            145
+#> 6095  VR2AR-546134     -5.643867     56.38278            145
+#> 6096  VR2AR-546134     -5.643867     56.38278            145
+#> 6097  VR2AR-546134     -5.643867     56.38278            145
+#> 6098  VR2AR-546134     -5.643867     56.38278            145
+#> 6099  VR2AR-546134     -5.643867     56.38278            145
+#> 6100  VR2AR-546134     -5.643867     56.38278            145
+#> 6101  VR2AR-546134     -5.643867     56.38278            145
+#> 6102  VR2AR-546134     -5.643867     56.38278            145
+#> 6103  VR2AR-546134     -5.643867     56.38278            145
+#> 6104  VR2AR-546134     -5.643867     56.38278            145
+#> 6105  VR2AR-546131     -5.612700     56.37988             35
+#> 6106  VR2AR-546131     -5.612700     56.37988             35
+#> 6107  VR2AR-546131     -5.612700     56.37988             35
+#> 6108  VR2AR-546131     -5.612700     56.37988             35
+#> 6109  VR2AR-546131     -5.612700     56.37988             35
+#> 6110  VR2AR-546131     -5.612700     56.37988             35
+#> 6111  VR2AR-546131     -5.612700     56.37988             35
+#> 6112  VR2AR-546131     -5.612700     56.37988             35
+#> 6113  VR2AR-546131     -5.612700     56.37988             35
+#> 6114  VR2AR-546131     -5.612700     56.37988             35
+#> 6115  VR2AR-546131     -5.612700     56.37988             35
+#> 6116  VR2AR-546131     -5.612700     56.37988             35
+#> 6117  VR2AR-546131     -5.612700     56.37988             35
+#> 6118  VR2AR-546131     -5.612700     56.37988             35
+#> 6119  VR2AR-546131     -5.612700     56.37988             35
+#> 6120  VR2AR-546131     -5.612700     56.37988             35
+#> 6121  VR2AR-546131     -5.612700     56.37988             35
+#> 6122  VR2AR-546131     -5.612700     56.37988             35
+#> 6123  VR2AR-546131     -5.612700     56.37988             35
+#> 6124  VR2AR-546131     -5.612700     56.37988             35
+#> 6125  VR2AR-546131     -5.612700     56.37988             35
+#> 6126  VR2AR-546131     -5.612700     56.37988             35
+#> 6127  VR2AR-546131     -5.612700     56.37988             35
+#> 6128  VR2AR-546131     -5.612700     56.37988             35
+#> 6129  VR2AR-546131     -5.612700     56.37988             35
+#> 6130  VR2AR-546131     -5.612700     56.37988             35
+#> 6131  VR2AR-546131     -5.612700     56.37988             35
+#> 6132  VR2AR-546131     -5.612700     56.37988             35
+#> 6133  VR2AR-546131     -5.612700     56.37988             35
+#> 6134  VR2AR-546131     -5.612700     56.37988             35
+#> 6135  VR2AR-546131     -5.612700     56.37988             35
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+#> 6137  VR2AR-546134     -5.643867     56.38278            145
+#> 6138  VR2AR-546134     -5.643867     56.38278            145
+#> 6139  VR2AR-546134     -5.643867     56.38278            145
+#> 6140  VR2AR-546134     -5.643867     56.38278            145
+#> 6141  VR2AR-546134     -5.643867     56.38278            145
+#> 6142  VR2AR-546134     -5.643867     56.38278            145
+#> 6143  VR2AR-546134     -5.643867     56.38278            145
+#> 6144  VR2AR-546134     -5.643867     56.38278            145
+#> 6145  VR2AR-546134     -5.643867     56.38278            145
+#> 6146  VR2AR-546134     -5.643867     56.38278            145
+#> 6147  VR2AR-546134     -5.643867     56.38278            145
+#> 6148  VR2AR-546134     -5.643867     56.38278            145
+#> 6149  VR2AR-546134     -5.643867     56.38278            145
+#> 6150  VR2AR-546134     -5.643867     56.38278            145
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+#> 6158   VR2W-108161     -5.605383     56.46018             25
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+#> 6160   VR2W-108161     -5.605383     56.46018             25
+#> 6161   VR2W-108161     -5.605383     56.46018             25
+#> 6162   VR2W-108161     -5.605383     56.46018             25
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+#> 6167   VR2W-108161     -5.605383     56.46018             25
+#> 6168   VR2W-108161     -5.605383     56.46018             25
+#> 6169   VR2W-108161     -5.605383     56.46018             25
+#> 6170   VR2W-108161     -5.605383     56.46018             25
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+#> 6198  VR2AR-546131     -5.612700     56.37988             35
+#> 6199  VR2AR-546131     -5.612700     56.37988             35
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+#> 6201  VR2AR-546131     -5.612700     56.37988             35
+#> 6202  VR2AR-546131     -5.612700     56.37988             35
+#> 6203  VR2AR-546131     -5.612700     56.37988             35
+#> 6204  VR2AR-546131     -5.612700     56.37988             35
+#> 6205  VR2AR-546131     -5.612700     56.37988             35
+#> 6206  VR2AR-546131     -5.612700     56.37988             35
+#> 6207  VR2AR-546131     -5.612700     56.37988             35
+#> 6208  VR2AR-546131     -5.612700     56.37988             35
+#> 6209  VR2AR-546131     -5.612700     56.37988             35
+#> 6210  VR2AR-546131     -5.612700     56.37988             35
+#> 6211  VR2AR-546131     -5.612700     56.37988             35
+#> 6212  VR2AR-546131     -5.612700     56.37988             35
+#> 6213  VR2AR-546380     -5.637917     56.44800             25
+#> 6214  VR2AR-546380     -5.637917     56.44800             25
+#> 6215  VR2AR-546380     -5.637917     56.44800             25
+#> 6216  VR2AR-546380     -5.637917     56.44800             25
+#> 6217  VR2AR-546380     -5.637917     56.44800             25
+#> 6218  VR2AR-546380     -5.637917     56.44800             25
+#> 6219  VR2AR-546380     -5.637917     56.44800             25
+#> 6220  VR2AR-546380     -5.637917     56.44800             25
+#> 6221  VR2AR-546380     -5.637917     56.44800             25
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+#> 6224  VR2AR-546133     -5.701717     56.49747             90
+#> 6225  VR2AR-546133     -5.701717     56.49747             90
+#> 6226  VR2AR-546133     -5.701717     56.49747             90
+#> 6227  VR2AR-546133     -5.701717     56.49747             90
+#> 6228  VR2AR-546133     -5.701717     56.49747             90
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+#> 6230      VR2-5637     -5.692417     56.49913             25
+#> 6231      VR2-5637     -5.692417     56.49913             25
+#> 6232      VR2-5637     -5.692417     56.49913             25
+#> 6233  VR2AR-546133     -5.701717     56.49747             90
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+#> 6271      VR2-5637     -5.692417     56.49913             25
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+#> 6401  VR2AR-546131     -5.612700     56.37988             35
+#> 6402  VR2AR-546131     -5.612700     56.37988             35
+#> 6403  VR2AR-546131     -5.612700     56.37988             35
+#> 6404  VR2AR-546131     -5.612700     56.37988             35
+#> 6405  VR2AR-546131     -5.612700     56.37988             35
+#> 6406  VR2AR-546131     -5.612700     56.37988             35
+#> 6407  VR2AR-546131     -5.612700     56.37988             35
+#> 6408  VR2AR-546131     -5.612700     56.37988             35
+#> 6409  VR2AR-546131     -5.612700     56.37988             35
+#> 6410  VR2AR-546131     -5.612700     56.37988             35
+#> 6411  VR2AR-546131     -5.612700     56.37988             35
+#> 6412  VR2AR-546131     -5.612700     56.37988             35
+#> 6413  VR2AR-546131     -5.612700     56.37988             35
+#> 6414  VR2AR-546131     -5.612700     56.37988             35
+#> 6415  VR2AR-546131     -5.612700     56.37988             35
+#> 6416  VR2AR-546131     -5.612700     56.37988             35
+#> 6417  VR2AR-546131     -5.612700     56.37988             35
+#> 6418  VR2AR-546131     -5.612700     56.37988             35
+#> 6419  VR2AR-546131     -5.612700     56.37988             35
+#> 6420  VR2AR-546131     -5.612700     56.37988             35
+#> 6421  VR2AR-546131     -5.612700     56.37988             35
+#> 6422  VR2AR-546131     -5.612700     56.37988             35
+#> 6423  VR2AR-546131     -5.612700     56.37988             35
+#> 6424  VR2AR-546131     -5.612700     56.37988             35
+#> 6425  VR2AR-546131     -5.612700     56.37988             35
+#> 6426  VR2AR-546131     -5.612700     56.37988             35
+#> 6427  VR2AR-546131     -5.612700     56.37988             35
+#> 6428  VR2AR-546131     -5.612700     56.37988             35
+#> 6429  VR2AR-546131     -5.612700     56.37988             35
+#> 6430  VR2AR-546131     -5.612700     56.37988             35
+#> 6431  VR2AR-546131     -5.612700     56.37988             35
+#> 6432  VR2AR-546131     -5.612700     56.37988             35
+#> 6433  VR2AR-546131     -5.612700     56.37988             35
+#> 6434  VR2AR-546136     -5.626250     56.44810             75
+#> 6435  VR2AR-546136     -5.626250     56.44810             75
+#> 6436   VR2W-108161     -5.605383     56.46018             25
+#> 6437   VR2W-108161     -5.605383     56.46018             25
+#> 6438   VR2W-108161     -5.605383     56.46018             25
+#> 6439   VR2W-108161     -5.605383     56.46018             25
+#> 6440   VR2W-108161     -5.605383     56.46018             25
+#> 6441   VR2W-108161     -5.605383     56.46018             25
+#> 6442   VR2W-108161     -5.605383     56.46018             25
+#> 6443   VR2W-108161     -5.605383     56.46018             25
+#> 6444   VR2W-108161     -5.605383     56.46018             25
+#> 6445   VR2W-108161     -5.605383     56.46018             25
+#> 6446   VR2W-108161     -5.605383     56.46018             25
+#> 6447   VR2W-108161     -5.605383     56.46018             25
+#> 6448   VR2W-108161     -5.605383     56.46018             25
+#> 6449   VR2W-108161     -5.605383     56.46018             25
+#> 6450   VR2W-108161     -5.605383     56.46018             25
+#> 6451   VR2W-108161     -5.605383     56.46018             25
+#> 6452   VR2W-108161     -5.605383     56.46018             25
+#> 6453   VR2W-108161     -5.605383     56.46018             25
+#> 6454   VR2W-108161     -5.605383     56.46018             25
+#> 6455  VR2AR-546131     -5.612700     56.37988             35
+#> 6456  VR2AR-546131     -5.612700     56.37988             35
+#> 6457  VR2AR-546131     -5.612700     56.37988             35
+#> 6458  VR2AR-546131     -5.612700     56.37988             35
+#> 6459  VR2AR-546131     -5.612700     56.37988             35
+#> 6460  VR2AR-546131     -5.612700     56.37988             35
+#> 6461  VR2AR-546131     -5.612700     56.37988             35
+#> 6462  VR2AR-546131     -5.612700     56.37988             35
+#> 6463  VR2AR-546131     -5.612700     56.37988             35
+#> 6464  VR2AR-546131     -5.612700     56.37988             35
+#> 6465  VR2AR-546131     -5.612700     56.37988             35
+#> 6466  VR2AR-546131     -5.612700     56.37988             35
+#> 6467  VR2AR-546131     -5.612700     56.37988             35
+#> 6468  VR2AR-546131     -5.612700     56.37988             35
+#> 6469  VR2AR-546131     -5.612700     56.37988             35
+#> 6470  VR2AR-546131     -5.612700     56.37988             35
+#> 6471  VR2AR-546131     -5.612700     56.37988             35
+#> 6472  VR2AR-546131     -5.612700     56.37988             35
+#> 6473  VR2AR-546131     -5.612700     56.37988             35
+#> 6474  VR2AR-546131     -5.612700     56.37988             35
+#> 6475  VR2AR-546131     -5.612700     56.37988             35
+#> 6476  VR2AR-546131     -5.612700     56.37988             35
+#> 6477  VR2AR-546131     -5.612700     56.37988             35
+#> 6478  VR2AR-546131     -5.612700     56.37988             35
+#> 6479  VR2AR-546131     -5.612700     56.37988             35
+#> 6480  VR2AR-546131     -5.612700     56.37988             35
+#> 6481  VR2AR-546131     -5.612700     56.37988             35
+#> 6482  VR2AR-546131     -5.612700     56.37988             35
+#> 6483  VR2AR-546131     -5.612700     56.37988             35
+#> 6484  VR2AR-546131     -5.612700     56.37988             35
+#> 6485  VR2AR-546131     -5.612700     56.37988             35
+#> 6486  VR2AR-546131     -5.612700     56.37988             35
+#> 6487  VR2AR-546131     -5.612700     56.37988             35
+#> 6488  VR2AR-546131     -5.612700     56.37988             35
+#> 6489  VR2AR-546131     -5.612700     56.37988             35
+#> 6490  VR2AR-546131     -5.612700     56.37988             35
+#> 6491   VR2W-108158     -5.619533     56.37413             25
+#> 6492   VR2W-108158     -5.619533     56.37413             25
+#> 6493   VR2W-108158     -5.619533     56.37413             25
+#> 6494   VR2W-108158     -5.619533     56.37413             25
+#> 6495   VR2W-108158     -5.619533     56.37413             25
+#> 6496   VR2W-108158     -5.619533     56.37413             25
+#> 6497   VR2W-108158     -5.619533     56.37413             25
+#> 6498   VR2W-108158     -5.619533     56.37413             25
+#> 6499   VR2W-108158     -5.619533     56.37413             25
+#> 6500   VR2W-108158     -5.619533     56.37413             25
+#> 6501   VR2W-108158     -5.619533     56.37413             25
+#> 6502   VR2W-108160     -5.631733     56.37447             50
+#> 6503   VR2W-108160     -5.631733     56.37447             50
+#> 6504   VR2W-108160     -5.631733     56.37447             50
+#> 6505   VR2W-108160     -5.631733     56.37447             50
+#> 6506   VR2W-108160     -5.631733     56.37447             50
+#> 6507   VR2W-108160     -5.631733     56.37447             50
+#> 6508   VR2W-108160     -5.631733     56.37447             50
+#> 6509   VR2W-108160     -5.631733     56.37447             50
+#> 6510   VR2W-108160     -5.631733     56.37447             50
+#> 6511   VR2W-108160     -5.631733     56.37447             50
+#> 6512   VR2W-108160     -5.631733     56.37447             50
+#> 6513   VR2W-108160     -5.631733     56.37447             50
+#> 6514   VR2W-108160     -5.631733     56.37447             50
+#> 6515   VR2W-108160     -5.631733     56.37447             50
+#> 6516   VR2W-108160     -5.631733     56.37447             50
+#> 6517   VR2W-108160     -5.631733     56.37447             50
+#> 6518   VR2W-108160     -5.631733     56.37447             50
+#> 6519   VR2W-108160     -5.631733     56.37447             50
+#> 6520   VR2W-108160     -5.631733     56.37447             50
+#> 6521   VR2W-108160     -5.631733     56.37447             50
+#> 6522   VR2W-108160     -5.631733     56.37447             50
+#> 6523   VR2W-108160     -5.631733     56.37447             50
+#> 6524   VR2W-108160     -5.631733     56.37447             50
+#> 6525   VR2W-108160     -5.631733     56.37447             50
+#> 6526   VR2W-108160     -5.631733     56.37447             50
+#> 6527   VR2W-108160     -5.631733     56.37447             50
+#> 6528   VR2W-108160     -5.631733     56.37447             50
+#> 6529   VR2W-108160     -5.631733     56.37447             50
+#> 6530   VR2W-108160     -5.631733     56.37447             50
+#> 6531   VR2W-108160     -5.631733     56.37447             50
+#> 6532   VR2W-108160     -5.631733     56.37447             50
+#> 6533   VR2W-108160     -5.631733     56.37447             50
+#> 6534   VR2W-108160     -5.631733     56.37447             50
+#> 6535   VR2W-108160     -5.631733     56.37447             50
+#> 6536   VR2W-108160     -5.631733     56.37447             50
+#> 6537   VR2W-108160     -5.631733     56.37447             50
+#> 6538   VR2W-108160     -5.631733     56.37447             50
+#> 6539   VR2W-108160     -5.631733     56.37447             50
+#> 6540   VR2W-108160     -5.631733     56.37447             50
+#> 6541   VR2W-108160     -5.631733     56.37447             50
+#> 6542   VR2W-108160     -5.631733     56.37447             50
+#> 6543   VR2W-108160     -5.631733     56.37447             50
+#> 6544   VR2W-108160     -5.631733     56.37447             50
+#> 6545   VR2W-108160     -5.631733     56.37447             50
+#> 6546   VR2W-108160     -5.631733     56.37447             50
+#> 6547   VR2W-108160     -5.631733     56.37447             50
+#> 6548   VR2W-108160     -5.631733     56.37447             50
+#> 6549   VR2W-108160     -5.631733     56.37447             50
+#> 6550   VR2W-108160     -5.631733     56.37447             50
+#> 6551   VR2W-108160     -5.631733     56.37447             50
+#> 6552   VR2W-108160     -5.631733     56.37447             50
+#> 6553   VR2W-108160     -5.631733     56.37447             50
+#> 6554   VR2W-108160     -5.631733     56.37447             50
+#> 6555   VR2W-108160     -5.631733     56.37447             50
+#> 6556   VR2W-108160     -5.631733     56.37447             50
+#> 6557   VR2W-108160     -5.631733     56.37447             50
+#> 6558   VR2W-108160     -5.631733     56.37447             50
+#> 6559   VR2W-108160     -5.631733     56.37447             50
+#> 6560   VR2W-108160     -5.631733     56.37447             50
+#> 6561   VR2W-108160     -5.631733     56.37447             50
+#> 6562   VR2W-108160     -5.631733     56.37447             50
+#> 6563   VR2W-108160     -5.631733     56.37447             50
+#> 6564   VR2W-108160     -5.631733     56.37447             50
+#> 6565   VR2W-108160     -5.631733     56.37447             50
+#> 6566  VR2AR-546131     -5.612700     56.37988             35
+#> 6567  VR2AR-546131     -5.612700     56.37988             35
+#> 6568  VR2AR-546131     -5.612700     56.37988             35
+#> 6569  VR2AR-546131     -5.612700     56.37988             35
+#> 6570  VR2AR-546131     -5.612700     56.37988             35
+#> 6571  VR2AR-546131     -5.612700     56.37988             35
+#> 6572  VR2AR-546131     -5.612700     56.37988             35
+#> 6573  VR2AR-546131     -5.612700     56.37988             35
+#> 6574  VR2AR-546131     -5.612700     56.37988             35
+#> 6575  VR2AR-546131     -5.612700     56.37988             35
+#> 6576  VR2AR-546131     -5.612700     56.37988             35
+#> 6577  VR2AR-546131     -5.612700     56.37988             35
+#> 6578  VR2AR-546131     -5.612700     56.37988             35
+#> 6579  VR2AR-546131     -5.612700     56.37988             35
+#> 6580  VR2AR-546131     -5.612700     56.37988             35
+#> 6581  VR2AR-546131     -5.612700     56.37988             35
+#> 6582  VR2AR-546131     -5.612700     56.37988             35
+#> 6583  VR2AR-546131     -5.612700     56.37988             35
+#> 6584  VR2AR-546131     -5.612700     56.37988             35
+#> 6585  VR2AR-546131     -5.612700     56.37988             35
+#> 6586  VR2AR-546131     -5.612700     56.37988             35
+#> 6587  VR2AR-546131     -5.612700     56.37988             35
+#> 6588  VR2AR-546131     -5.612700     56.37988             35
+#> 6589  VR2AR-546131     -5.612700     56.37988             35
+#> 6590  VR2AR-546131     -5.612700     56.37988             35
+#> 6591  VR2AR-546131     -5.612700     56.37988             35
+#> 6592  VR2AR-546131     -5.612700     56.37988             35
+#> 6593  VR2AR-546131     -5.612700     56.37988             35
+#> 6594  VR2AR-546131     -5.612700     56.37988             35
+#> 6595  VR2AR-546131     -5.612700     56.37988             35
+#> 6596  VR2AR-546131     -5.612700     56.37988             35
+#> 6597  VR2AR-546131     -5.612700     56.37988             35
+#> 6598  VR2AR-546131     -5.612700     56.37988             35
+#> 6599  VR2AR-546131     -5.612700     56.37988             35
+#> 6600  VR2AR-546131     -5.612700     56.37988             35
+#> 6601  VR2AR-546131     -5.612700     56.37988             35
+#> 6602  VR2AR-546131     -5.612700     56.37988             35
+#> 6603  VR2AR-546131     -5.612700     56.37988             35
+#> 6604  VR2AR-546131     -5.612700     56.37988             35
+#> 6605  VR2AR-546131     -5.612700     56.37988             35
+#> 6606  VR2AR-546131     -5.612700     56.37988             35
+#> 6607  VR2AR-546131     -5.612700     56.37988             35
+#> 6608  VR2AR-546131     -5.612700     56.37988             35
+#> 6609  VR2AR-546131     -5.612700     56.37988             35
+#> 6610  VR2AR-546131     -5.612700     56.37988             35
+#> 6611  VR2AR-546131     -5.612700     56.37988             35
+#> 6612  VR2AR-546131     -5.612700     56.37988             35
+#> 6613  VR2AR-546131     -5.612700     56.37988             35
+#> 6614  VR2AR-546131     -5.612700     56.37988             35
+#> 6615  VR2AR-546131     -5.612700     56.37988             35
+#> 6616  VR2AR-546131     -5.612700     56.37988             35
+#> 6617  VR2AR-546131     -5.612700     56.37988             35
+#> 6618  VR2AR-546131     -5.612700     56.37988             35
+#> 6619  VR2AR-546131     -5.612700     56.37988             35
+#> 6620  VR2AR-546131     -5.612700     56.37988             35
+#> 6621  VR2AR-546131     -5.612700     56.37988             35
+#> 6622  VR2AR-546131     -5.612700     56.37988             35
+#> 6623  VR2AR-546131     -5.612700     56.37988             35
+#> 6624  VR2AR-546131     -5.612700     56.37988             35
+#> 6625  VR2AR-546131     -5.612700     56.37988             35
+#> 6626  VR2AR-546131     -5.612700     56.37988             35
+#> 6627  VR2AR-546131     -5.612700     56.37988             35
+#> 6628  VR2AR-546131     -5.612700     56.37988             35
+#> 6629  VR2AR-546131     -5.612700     56.37988             35
+#> 6630  VR2AR-546131     -5.612700     56.37988             35
+#> 6631  VR2AR-546131     -5.612700     56.37988             35
+#> 6632  VR2AR-546131     -5.612700     56.37988             35
+#> 6633  VR2AR-546131     -5.612700     56.37988             35
+#> 6634  VR2AR-546131     -5.612700     56.37988             35
+#> 6635  VR2AR-546131     -5.612700     56.37988             35
+#> 6636  VR2AR-546131     -5.612700     56.37988             35
+#> 6637  VR2AR-546131     -5.612700     56.37988             35
+#> 6638  VR2AR-546131     -5.612700     56.37988             35
+#> 6639  VR2AR-546131     -5.612700     56.37988             35
+#> 6640  VR2AR-546131     -5.612700     56.37988             35
+#> 6641  VR2AR-546131     -5.612700     56.37988             35
+#> 6642  VR2AR-546131     -5.612700     56.37988             35
+#> 6643  VR2AR-546131     -5.612700     56.37988             35
+#> 6644  VR2AR-546131     -5.612700     56.37988             35
+#> 6645  VR2AR-546131     -5.612700     56.37988             35
+#> 6646  VR2AR-546131     -5.612700     56.37988             35
+#> 6647  VR2AR-546131     -5.612700     56.37988             35
+#> 6648  VR2AR-546131     -5.612700     56.37988             35
+#> 6649  VR2AR-546131     -5.612700     56.37988             35
+#> 6650  VR2AR-546131     -5.612700     56.37988             35
+#> 6651  VR2AR-546131     -5.612700     56.37988             35
+#> 6652  VR2AR-546131     -5.612700     56.37988             35
+#> 6653  VR2AR-546131     -5.612700     56.37988             35
+#> 6654  VR2AR-546131     -5.612700     56.37988             35
+#> 6655  VR2AR-546131     -5.612700     56.37988             35
+#> 6656  VR2AR-546131     -5.612700     56.37988             35
+#> 6657  VR2AR-546131     -5.612700     56.37988             35
+#> 6658  VR2AR-546131     -5.612700     56.37988             35
+#> 6659  VR2AR-546131     -5.612700     56.37988             35
+#> 6660  VR2AR-546131     -5.612700     56.37988             35
+#> 6661  VR2AR-546131     -5.612700     56.37988             35
+#> 6662  VR2AR-546131     -5.612700     56.37988             35
+#> 6663  VR2AR-546131     -5.612700     56.37988             35
+#> 6664  VR2AR-546131     -5.612700     56.37988             35
+#> 6665  VR2AR-546131     -5.612700     56.37988             35
+#> 6666  VR2AR-546131     -5.612700     56.37988             35
+#> 6667  VR2AR-546131     -5.612700     56.37988             35
+#> 6668  VR2AR-546131     -5.612700     56.37988             35
+#> 6669  VR2AR-546131     -5.612700     56.37988             35
+#> 6670  VR2AR-546131     -5.612700     56.37988             35
+#> 6671  VR2AR-546131     -5.612700     56.37988             35
+#> 6672  VR2AR-546131     -5.612700     56.37988             35
+#> 6673  VR2AR-546131     -5.612700     56.37988             35
+#> 6674  VR2AR-546131     -5.612700     56.37988             35
+#> 6675  VR2AR-546131     -5.612700     56.37988             35
+#> 6676  VR2AR-546131     -5.612700     56.37988             35
+#> 6677  VR2AR-546131     -5.612700     56.37988             35
+#> 6678  VR2AR-546131     -5.612700     56.37988             35
+#> 6679  VR2AR-546131     -5.612700     56.37988             35
+#> 6680  VR2AR-546131     -5.612700     56.37988             35
+#> 6681  VR2AR-546131     -5.612700     56.37988             35
+#> 6682  VR2AR-546131     -5.612700     56.37988             35
+#> 6683  VR2AR-546131     -5.612700     56.37988             35
+#> 6684  VR2AR-546131     -5.612700     56.37988             35
+#> 6685  VR2AR-546131     -5.612700     56.37988             35
+#> 6686  VR2AR-546131     -5.612700     56.37988             35
+#> 6687  VR2AR-546131     -5.612700     56.37988             35
+#> 6688  VR2AR-546131     -5.612700     56.37988             35
+#> 6689  VR2AR-546131     -5.612700     56.37988             35
+#> 6690  VR2AR-546131     -5.612700     56.37988             35
+#> 6691  VR2AR-546131     -5.612700     56.37988             35
+#> 6692  VR2AR-546131     -5.612700     56.37988             35
+#> 6693  VR2AR-546131     -5.612700     56.37988             35
+#> 6694  VR2AR-546131     -5.612700     56.37988             35
+#> 6695  VR2AR-546131     -5.612700     56.37988             35
+#> 6696  VR2AR-546131     -5.612700     56.37988             35
+#> 6697  VR2AR-546131     -5.612700     56.37988             35
+#> 6698  VR2AR-546131     -5.612700     56.37988             35
+#> 6699  VR2AR-546131     -5.612700     56.37988             35
+#> 6700  VR2AR-546131     -5.612700     56.37988             35
+#> 6701  VR2AR-546131     -5.612700     56.37988             35
+#> 6702  VR2AR-546131     -5.612700     56.37988             35
+#> 6703  VR2AR-546131     -5.612700     56.37988             35
+#> 6704  VR2AR-546131     -5.612700     56.37988             35
+#> 6705  VR2AR-546131     -5.612700     56.37988             35
+#> 6706  VR2AR-546131     -5.612700     56.37988             35
+#> 6707  VR2AR-546131     -5.612700     56.37988             35
+#> 6708  VR2AR-546131     -5.612700     56.37988             35
+#> 6709  VR2AR-546131     -5.612700     56.37988             35
+#> 6710  VR2AR-546131     -5.612700     56.37988             35
+#> 6711  VR2AR-546131     -5.612700     56.37988             35
+#> 6712  VR2AR-546131     -5.612700     56.37988             35
+#> 6713  VR2AR-546131     -5.612700     56.37988             35
+#> 6714  VR2AR-546131     -5.612700     56.37988             35
+#> 6715  VR2AR-546131     -5.612700     56.37988             35
+#> 6716  VR2AR-546131     -5.612700     56.37988             35
+#> 6717  VR2AR-546131     -5.612700     56.37988             35
+#> 6718  VR2AR-546131     -5.612700     56.37988             35
+#> 6719  VR2AR-546131     -5.612700     56.37988             35
+#> 6720  VR2AR-546131     -5.612700     56.37988             35
+#> 6721  VR2AR-546131     -5.612700     56.37988             35
+#> 6722  VR2AR-546131     -5.612700     56.37988             35
+#> 6723  VR2AR-546131     -5.612700     56.37988             35
+#> 6724  VR2AR-546131     -5.612700     56.37988             35
+#> 6725  VR2AR-546131     -5.612700     56.37988             35
+#> 6726  VR2AR-546131     -5.612700     56.37988             35
+#> 6727  VR2AR-546131     -5.612700     56.37988             35
+#> 6728  VR2AR-546134     -5.643867     56.38278            145
+#> 6729  VR2AR-546134     -5.643867     56.38278            145
+#> 6730  VR2AR-546134     -5.643867     56.38278            145
+#> 6731  VR2AR-546134     -5.643867     56.38278            145
+#> 6732  VR2AR-546134     -5.643867     56.38278            145
+#> 6733  VR2AR-546134     -5.643867     56.38278            145
+#> 6734  VR2AR-546134     -5.643867     56.38278            145
+#> 6735  VR2AR-546134     -5.643867     56.38278            145
+#> 6736  VR2AR-546134     -5.643867     56.38278            145
+#> 6737  VR2AR-546134     -5.643867     56.38278            145
+#> 6738  VR2AR-546134     -5.643867     56.38278            145
+#> 6739  VR2AR-546134     -5.643867     56.38278            145
+#> 6740  VR2AR-546134     -5.643867     56.38278            145
+#> 6741  VR2AR-546134     -5.643867     56.38278            145
+#> 6742  VR2AR-546134     -5.643867     56.38278            145
+#> 6743  VR2AR-546134     -5.643867     56.38278            145
+#> 6744  VR2AR-546136     -5.626250     56.44810             75
+#> 6745  VR2AR-546136     -5.626250     56.44810             75
+#> 6746  VR2AR-546131     -5.612700     56.37988             35
+#> 6747  VR2AR-546131     -5.612700     56.37988             35
+#> 6748  VR2AR-546131     -5.612700     56.37988             35
+#> 6749  VR2AR-546131     -5.612700     56.37988             35
+#> 6750  VR2AR-546131     -5.612700     56.37988             35
+#> 6751  VR2AR-546131     -5.612700     56.37988             35
+#> 6752  VR2AR-546131     -5.612700     56.37988             35
+#> 6753  VR2AR-546131     -5.612700     56.37988             35
+#> 6754  VR2AR-546131     -5.612700     56.37988             35
+#> 6755  VR2AR-546131     -5.612700     56.37988             35
+#> 6756  VR2AR-546131     -5.612700     56.37988             35
+#> 6757  VR2AR-546131     -5.612700     56.37988             35
+#> 6758  VR2AR-546131     -5.612700     56.37988             35
+#> 6759  VR2AR-546131     -5.612700     56.37988             35
+#> 6760  VR2AR-546131     -5.612700     56.37988             35
+#> 6761  VR2AR-546131     -5.612700     56.37988             35
+#> 6762  VR2AR-546131     -5.612700     56.37988             35
+#> 6763  VR2AR-546131     -5.612700     56.37988             35
+#> 6764  VR2AR-546131     -5.612700     56.37988             35
+#> 6765  VR2AR-546131     -5.612700     56.37988             35
+#> 6766  VR2AR-546131     -5.612700     56.37988             35
+#> 6767  VR2AR-546131     -5.612700     56.37988             35
+#> 6768  VR2AR-546131     -5.612700     56.37988             35
+#> 6769  VR2AR-546131     -5.612700     56.37988             35
+#> 6770  VR2AR-546131     -5.612700     56.37988             35
+#> 6771  VR2AR-546131     -5.612700     56.37988             35
+#> 6772  VR2AR-546131     -5.612700     56.37988             35
+#> 6773  VR2AR-546131     -5.612700     56.37988             35
+#> 6774  VR2AR-546131     -5.612700     56.37988             35
+#> 6775  VR2AR-546131     -5.612700     56.37988             35
+#> 6776  VR2AR-546131     -5.612700     56.37988             35
+#> 6777  VR2AR-546131     -5.612700     56.37988             35
+#> 6778  VR2AR-546131     -5.612700     56.37988             35
+#> 6779  VR2AR-546131     -5.612700     56.37988             35
+#> 6780  VR2AR-546131     -5.612700     56.37988             35
+#> 6781  VR2AR-546131     -5.612700     56.37988             35
+#> 6782  VR2AR-546131     -5.612700     56.37988             35
+#> 6783  VR2AR-546131     -5.612700     56.37988             35
+#> 6784  VR2AR-546131     -5.612700     56.37988             35
+#> 6785  VR2AR-546131     -5.612700     56.37988             35
+#> 6786  VR2AR-546131     -5.612700     56.37988             35
+#> 6787  VR2AR-546131     -5.612700     56.37988             35
+#> 6788  VR2AR-546131     -5.612700     56.37988             35
+#> 6789  VR2AR-546131     -5.612700     56.37988             35
+#> 6790  VR2AR-546131     -5.612700     56.37988             35
+#> 6791  VR2AR-546131     -5.612700     56.37988             35
+#> 6792  VR2AR-546131     -5.612700     56.37988             35
+#> 6793  VR2AR-546131     -5.612700     56.37988             35
+#> 6794  VR2AR-546131     -5.612700     56.37988             35
+#> 6795  VR2AR-546131     -5.612700     56.37988             35
+#> 6796  VR2AR-546131     -5.612700     56.37988             35
+#> 6797  VR2AR-546131     -5.612700     56.37988             35
+#> 6798  VR2AR-546131     -5.612700     56.37988             35
+#> 6799  VR2AR-546131     -5.612700     56.37988             35
+#> 6800  VR2AR-546131     -5.612700     56.37988             35
+#> 6801  VR2AR-546131     -5.612700     56.37988             35
+#> 6802  VR2AR-546131     -5.612700     56.37988             35
+#> 6803  VR2AR-546131     -5.612700     56.37988             35
+#> 6804  VR2AR-546131     -5.612700     56.37988             35
+#> 6805  VR2AR-546131     -5.612700     56.37988             35
+#> 6806  VR2AR-546131     -5.612700     56.37988             35
+#> 6807  VR2AR-546131     -5.612700     56.37988             35
+#> 6808  VR2AR-546131     -5.612700     56.37988             35
+#> 6809  VR2AR-546131     -5.612700     56.37988             35
+#> 6810  VR2AR-546131     -5.612700     56.37988             35
+#> 6811  VR2AR-546131     -5.612700     56.37988             35
+#> 6812  VR2AR-546131     -5.612700     56.37988             35
+#> 6813  VR2AR-546131     -5.612700     56.37988             35
+#> 6814  VR2AR-546131     -5.612700     56.37988             35
+#> 6815  VR2AR-546131     -5.612700     56.37988             35
+#> 6816  VR2AR-546131     -5.612700     56.37988             35
+#> 6817  VR2AR-546131     -5.612700     56.37988             35
+#> 6818  VR2AR-546131     -5.612700     56.37988             35
+#> 6819  VR2AR-546131     -5.612700     56.37988             35
+#> 6820  VR2AR-546131     -5.612700     56.37988             35
+#> 6821  VR2AR-546131     -5.612700     56.37988             35
+#> 6822  VR2AR-546131     -5.612700     56.37988             35
+#> 6823  VR2AR-546131     -5.612700     56.37988             35
+#> 6824  VR2AR-546131     -5.612700     56.37988             35
+#> 6825  VR2AR-546131     -5.612700     56.37988             35
+#> 6826  VR2AR-546131     -5.612700     56.37988             35
+#> 6827  VR2AR-546131     -5.612700     56.37988             35
+#> 6828  VR2AR-546131     -5.612700     56.37988             35
+#> 6829  VR2AR-546131     -5.612700     56.37988             35
+#> 6830  VR2AR-546131     -5.612700     56.37988             35
+#> 6831  VR2AR-546131     -5.612700     56.37988             35
+#> 6832  VR2AR-546131     -5.612700     56.37988             35
+#> 6833  VR2AR-546131     -5.612700     56.37988             35
+#> 6834  VR2AR-546131     -5.612700     56.37988             35
+#> 6835  VR2AR-546131     -5.612700     56.37988             35
+#> 6836  VR2AR-546131     -5.612700     56.37988             35
+#> 6837  VR2AR-546131     -5.612700     56.37988             35
+#> 6838  VR2AR-546131     -5.612700     56.37988             35
+#> 6839  VR2AR-546131     -5.612700     56.37988             35
+#> 6840  VR2AR-546131     -5.612700     56.37988             35
+#> 6841  VR2AR-546131     -5.612700     56.37988             35
+#> 6842  VR2AR-546131     -5.612700     56.37988             35
+#> 6843  VR2AR-546131     -5.612700     56.37988             35
+#> 6844  VR2AR-546131     -5.612700     56.37988             35
+#> 6845  VR2AR-546131     -5.612700     56.37988             35
+#> 6846  VR2AR-546131     -5.612700     56.37988             35
+#> 6847  VR2AR-546131     -5.612700     56.37988             35
+#> 6848  VR2AR-546131     -5.612700     56.37988             35
+#> 6849  VR2AR-546131     -5.612700     56.37988             35
+#> 6850  VR2AR-546131     -5.612700     56.37988             35
+#> 6851  VR2AR-546131     -5.612700     56.37988             35
+#> 6852  VR2AR-546131     -5.612700     56.37988             35
+#> 6853  VR2AR-546131     -5.612700     56.37988             35
+#> 6854  VR2AR-546131     -5.612700     56.37988             35
+#> 6855  VR2AR-546131     -5.612700     56.37988             35
+#> 6856  VR2AR-546131     -5.612700     56.37988             35
+#> 6857  VR2AR-546131     -5.612700     56.37988             35
+#> 6858  VR2AR-546131     -5.612700     56.37988             35
+#> 6859  VR2AR-546131     -5.612700     56.37988             35
+#> 6860  VR2AR-546131     -5.612700     56.37988             35
+#> 6861  VR2AR-546131     -5.612700     56.37988             35
+#> 6862  VR2AR-546131     -5.612700     56.37988             35
+#> 6863  VR2AR-546131     -5.612700     56.37988             35
+#> 6864  VR2AR-546131     -5.612700     56.37988             35
+#> 6865  VR2AR-546131     -5.612700     56.37988             35
+#> 6866  VR2AR-546131     -5.612700     56.37988             35
+#> 6867  VR2AR-546131     -5.612700     56.37988             35
+#> 6868  VR2AR-546131     -5.612700     56.37988             35
+#> 6869  VR2AR-546131     -5.612700     56.37988             35
+#> 6870  VR2AR-546131     -5.612700     56.37988             35
+#> 6871  VR2AR-546131     -5.612700     56.37988             35
+#> 6872  VR2AR-546131     -5.612700     56.37988             35
+#> 6873  VR2AR-546131     -5.612700     56.37988             35
+#> 6874  VR2AR-546131     -5.612700     56.37988             35
+#> 6875  VR2AR-546131     -5.612700     56.37988             35
+#> 6876  VR2AR-546131     -5.612700     56.37988             35
+#> 6877  VR2AR-546131     -5.612700     56.37988             35
+#> 6878  VR2AR-546131     -5.612700     56.37988             35
+#> 6879  VR2AR-546131     -5.612700     56.37988             35
+#> 6880  VR2AR-546131     -5.612700     56.37988             35
+#> 6881  VR2AR-546131     -5.612700     56.37988             35
+#> 6882  VR2AR-546131     -5.612700     56.37988             35
+#> 6883  VR2AR-546131     -5.612700     56.37988             35
+#> 6884  VR2AR-546131     -5.612700     56.37988             35
+#> 6885  VR2AR-546131     -5.612700     56.37988             35
+#> 6886  VR2AR-546131     -5.612700     56.37988             35
+#> 6887  VR2AR-546131     -5.612700     56.37988             35
+#> 6888  VR2AR-546131     -5.612700     56.37988             35
+#> 6889  VR2AR-546131     -5.612700     56.37988             35
+#> 6890  VR2AR-546131     -5.612700     56.37988             35
+#> 6891  VR2AR-546131     -5.612700     56.37988             35
+#> 6892  VR2AR-546131     -5.612700     56.37988             35
+#> 6893  VR2AR-546131     -5.612700     56.37988             35
+#> 6894  VR2AR-546131     -5.612700     56.37988             35
+#> 6895  VR2AR-546131     -5.612700     56.37988             35
+#> 6896  VR2AR-546131     -5.612700     56.37988             35
+#> 6897  VR2AR-546131     -5.612700     56.37988             35
+#> 6898  VR2AR-546131     -5.612700     56.37988             35
+#> 6899  VR2AR-546131     -5.612700     56.37988             35
+#> 6900  VR2AR-546131     -5.612700     56.37988             35
+#> 6901  VR2AR-546131     -5.612700     56.37988             35
+#> 6902  VR2AR-546131     -5.612700     56.37988             35
+#> 6903  VR2AR-546136     -5.626250     56.44810             75
+#> 6904  VR2AR-546136     -5.626250     56.44810             75
+#> 6905  VR2AR-546136     -5.626250     56.44810             75
+#> 6906  VR2AR-546136     -5.626250     56.44810             75
+#> 6907  VR2AR-546136     -5.626250     56.44810             75
+#> 6908  VR2AR-546136     -5.626250     56.44810             75
+#> 6909      VR2-6723     -5.586383     56.50332             50
+#> 6910  VR2AR-546133     -5.701717     56.49747             90
+#> 6911  VR2AR-546133     -5.701717     56.49747             90
+#> 6912  VR2AR-546133     -5.701717     56.49747             90
+#> 6913  VR2AR-546133     -5.701717     56.49747             90
+#> 6914  VR2AR-546133     -5.701717     56.49747             90
+#> 6915  VR2AR-546133     -5.701717     56.49747             90
+#> 6916  VR2AR-546133     -5.701717     56.49747             90
+#> 6917  VR2AR-546133     -5.701717     56.49747             90
+#> 6918  VR2AR-546133     -5.701717     56.49747             90
+#> 6919  VR2AR-546133     -5.701717     56.49747             90
+#> 6920  VR2AR-546133     -5.701717     56.49747             90
+#> 6921  VR2AR-546133     -5.701717     56.49747             90
+#> 6922  VR2AR-546133     -5.701717     56.49747             90
+#> 6923  VR2AR-546133     -5.701717     56.49747             90
+#> 6924  VR2AR-546133     -5.701717     56.49747             90
+#> 6925  VR2AR-546133     -5.701717     56.49747             90
+#> 6926  VR2AR-546133     -5.701717     56.49747             90
+#> 6927  VR2AR-546133     -5.701717     56.49747             90
+#> 6928  VR2AR-546133     -5.701717     56.49747             90
+#> 6929  VR2AR-546133     -5.701717     56.49747             90
+#> 6930  VR2AR-546133     -5.701717     56.49747             90
+#> 6931  VR2AR-546133     -5.701717     56.49747             90
+#> 6932   VR2W-108161     -5.605383     56.46018             25
+#> 6933   VR2W-108161     -5.605383     56.46018             25
+#> 6934   VR2W-108161     -5.605383     56.46018             25
+#> 6935   VR2W-108161     -5.605383     56.46018             25
+#> 6936   VR2W-108161     -5.605383     56.46018             25
+#> 6937   VR2W-108161     -5.605383     56.46018             25
+#> 6938   VR2W-108161     -5.605383     56.46018             25
+#> 6939  VR2AR-546136     -5.626250     56.44810             75
+#> 6940  VR2AR-546136     -5.626250     56.44810             75
+#> 6941  VR2AR-546136     -5.626250     56.44810             75
+#> 6942  VR2AR-546136     -5.626250     56.44810             75
+#> 6943  VR2AR-546136     -5.626250     56.44810             75
+#> 6944  VR2AR-546136     -5.626250     56.44810             75
+#> 6945  VR2AR-546131     -5.612700     56.37988             35
+#> 6946  VR2AR-546131     -5.612700     56.37988             35
+#> 6947  VR2AR-546131     -5.612700     56.37988             35
+#> 6948  VR2AR-546131     -5.612700     56.37988             35
+#> 6949  VR2AR-546131     -5.612700     56.37988             35
+#> 6950  VR2AR-546131     -5.612700     56.37988             35
+#> 6951  VR2AR-546131     -5.612700     56.37988             35
+#> 6952  VR2AR-546131     -5.612700     56.37988             35
+#> 6953  VR2AR-546131     -5.612700     56.37988             35
+#> 6954  VR2AR-546131     -5.612700     56.37988             35
+#> 6955  VR2AR-546131     -5.612700     56.37988             35
+#> 6956  VR2AR-546131     -5.612700     56.37988             35
+#> 6957  VR2AR-546131     -5.612700     56.37988             35
+#> 6958  VR2AR-546131     -5.612700     56.37988             35
+#> 6959  VR2AR-546131     -5.612700     56.37988             35
+#> 6960  VR2AR-546131     -5.612700     56.37988             35
+#> 6961  VR2AR-546131     -5.612700     56.37988             35
+#> 6962  VR2AR-546131     -5.612700     56.37988             35
+#> 6963  VR2AR-546131     -5.612700     56.37988             35
+#> 6964  VR2AR-546131     -5.612700     56.37988             35
+#> 6965  VR2AR-546131     -5.612700     56.37988             35
+#> 6966  VR2AR-546131     -5.612700     56.37988             35
+#> 6967  VR2AR-546131     -5.612700     56.37988             35
+#> 6968  VR2AR-546131     -5.612700     56.37988             35
+#> 6969  VR2AR-546131     -5.612700     56.37988             35
+#> 6970  VR2AR-546131     -5.612700     56.37988             35
+#> 6971  VR2AR-546131     -5.612700     56.37988             35
+#> 6972  VR2AR-546131     -5.612700     56.37988             35
+#> 6973  VR2AR-546131     -5.612700     56.37988             35
+#> 6974  VR2AR-546131     -5.612700     56.37988             35
+#> 6975  VR2AR-546131     -5.612700     56.37988             35
+#> 6976  VR2AR-546131     -5.612700     56.37988             35
+#> 6977  VR2AR-546131     -5.612700     56.37988             35
+#> 6978  VR2AR-546131     -5.612700     56.37988             35
+#> 6979  VR2AR-546131     -5.612700     56.37988             35
+#> 6980  VR2AR-546131     -5.612700     56.37988             35
+#> 6981  VR2AR-546131     -5.612700     56.37988             35
+#> 6982  VR2AR-546131     -5.612700     56.37988             35
+#> 6983  VR2AR-546131     -5.612700     56.37988             35
+#> 6984  VR2AR-546131     -5.612700     56.37988             35
+#> 6985  VR2AR-546131     -5.612700     56.37988             35
+#> 6986  VR2AR-546131     -5.612700     56.37988             35
+#> 6987  VR2AR-546131     -5.612700     56.37988             35
+#> 6988  VR2AR-546131     -5.612700     56.37988             35
+#> 6989  VR2AR-546131     -5.612700     56.37988             35
+#> 6990  VR2AR-546131     -5.612700     56.37988             35
+#> 6991  VR2AR-546131     -5.612700     56.37988             35
+#> 6992  VR2AR-546131     -5.612700     56.37988             35
+#> 6993  VR2AR-546131     -5.612700     56.37988             35
+#> 6994  VR2AR-546131     -5.612700     56.37988             35
+#> 6995  VR2AR-546131     -5.612700     56.37988             35
+#> 6996  VR2AR-546131     -5.612700     56.37988             35
+#> 6997  VR2AR-546131     -5.612700     56.37988             35
+#> 6998  VR2AR-546131     -5.612700     56.37988             35
+#> 6999  VR2AR-546131     -5.612700     56.37988             35
+#> 7000  VR2AR-546131     -5.612700     56.37988             35
+#> 7001  VR2AR-546131     -5.612700     56.37988             35
+#> 7002  VR2AR-546131     -5.612700     56.37988             35
+#> 7003  VR2AR-546131     -5.612700     56.37988             35
+#> 7004  VR2AR-546131     -5.612700     56.37988             35
+#> 7005  VR2AR-546131     -5.612700     56.37988             35
+#> 7006  VR2AR-546131     -5.612700     56.37988             35
+#> 7007  VR2AR-546131     -5.612700     56.37988             35
+#> 7008  VR2AR-546131     -5.612700     56.37988             35
+#> 7009  VR2AR-546131     -5.612700     56.37988             35
+#> 7010  VR2AR-546131     -5.612700     56.37988             35
+#> 7011  VR2AR-546131     -5.612700     56.37988             35
+#> 7012  VR2AR-546131     -5.612700     56.37988             35
+#> 7013  VR2AR-546131     -5.612700     56.37988             35
+#> 7014  VR2AR-546131     -5.612700     56.37988             35
+#> 7015  VR2AR-546131     -5.612700     56.37988             35
+#> 7016  VR2AR-546131     -5.612700     56.37988             35
+#> 7017  VR2AR-546131     -5.612700     56.37988             35
+#> 7018  VR2AR-546131     -5.612700     56.37988             35
+#> 7019  VR2AR-546131     -5.612700     56.37988             35
+#> 7020  VR2AR-546131     -5.612700     56.37988             35
+#> 7021  VR2AR-546131     -5.612700     56.37988             35
+#> 7022  VR2AR-546131     -5.612700     56.37988             35
+#> 7023  VR2AR-546131     -5.612700     56.37988             35
+#> 7024  VR2AR-546131     -5.612700     56.37988             35
+#> 7025  VR2AR-546131     -5.612700     56.37988             35
+#> 7026  VR2AR-546131     -5.612700     56.37988             35
+#> 7027  VR2AR-546131     -5.612700     56.37988             35
+#> 7028  VR2AR-546131     -5.612700     56.37988             35
+#> 7029  VR2AR-546131     -5.612700     56.37988             35
+#> 7030  VR2AR-546131     -5.612700     56.37988             35
+#> 7031  VR2AR-546131     -5.612700     56.37988             35
+#> 7032  VR2AR-546131     -5.612700     56.37988             35
+#> 7033  VR2AR-546131     -5.612700     56.37988             35
+#> 7034  VR2AR-546131     -5.612700     56.37988             35
+#> 7035  VR2AR-546131     -5.612700     56.37988             35
+#> 7036  VR2AR-546131     -5.612700     56.37988             35
+#> 7037  VR2AR-546131     -5.612700     56.37988             35
+#> 7038  VR2AR-546131     -5.612700     56.37988             35
+#> 7039  VR2AR-546131     -5.612700     56.37988             35
+#> 7040  VR2AR-546131     -5.612700     56.37988             35
+#> 7041  VR2AR-546131     -5.612700     56.37988             35
+#> 7042  VR2AR-546131     -5.612700     56.37988             35
+#> 7043  VR2AR-546131     -5.612700     56.37988             35
+#> 7044  VR2AR-546131     -5.612700     56.37988             35
+#> 7045  VR2AR-546131     -5.612700     56.37988             35
+#> 7046  VR2AR-546131     -5.612700     56.37988             35
+#> 7047  VR2AR-546131     -5.612700     56.37988             35
+#> 7048  VR2AR-546131     -5.612700     56.37988             35
+#> 7049  VR2AR-546131     -5.612700     56.37988             35
+#> 7050  VR2AR-546131     -5.612700     56.37988             35
+#> 7051  VR2AR-546131     -5.612700     56.37988             35
+#> 7052  VR2AR-546131     -5.612700     56.37988             35
+#> 7053  VR2AR-546131     -5.612700     56.37988             35
+#> 7054  VR2AR-546131     -5.612700     56.37988             35
+#> 7055  VR2AR-546131     -5.612700     56.37988             35
+#> 7056  VR2AR-546131     -5.612700     56.37988             35
+#> 7057  VR2AR-546131     -5.612700     56.37988             35
+#> 7058  VR2AR-546131     -5.612700     56.37988             35
+#> 7059  VR2AR-546131     -5.612700     56.37988             35
+#> 7060  VR2AR-546131     -5.612700     56.37988             35
+#> 7061  VR2AR-546131     -5.612700     56.37988             35
+#> 7062  VR2AR-546131     -5.612700     56.37988             35
+#> 7063  VR2AR-546131     -5.612700     56.37988             35
+#> 7064  VR2AR-546131     -5.612700     56.37988             35
+#> 7065  VR2AR-546131     -5.612700     56.37988             35
+#> 7066  VR2AR-546131     -5.612700     56.37988             35
+#> 7067  VR2AR-546131     -5.612700     56.37988             35
+#> 7068  VR2AR-546131     -5.612700     56.37988             35
+#> 7069  VR2AR-546380     -5.637917     56.44800             25
+#> 7070  VR2AR-546380     -5.637917     56.44800             25
+#> 7071  VR2AR-546380     -5.637917     56.44800             25
+#> 7072  VR2AR-546380     -5.637917     56.44800             25
+#> 7073  VR2AR-546380     -5.637917     56.44800             25
+#> 7074  VR2AR-546380     -5.637917     56.44800             25
+#> 7075  VR2AR-546380     -5.637917     56.44800             25
+#> 7076  VR2AR-546380     -5.637917     56.44800             25
+#> 7077  VR2AR-546380     -5.637917     56.44800             25
+#> 7078  VR2AR-546380     -5.637917     56.44800             25
+#> 7079  VR2AR-546380     -5.637917     56.44800             25
+#> 7080  VR2AR-546380     -5.637917     56.44800             25
+#> 7081  VR2AR-546380     -5.637917     56.44800             25
+#> 7082  VR2AR-546380     -5.637917     56.44800             25
+#> 7083  VR2AR-546380     -5.637917     56.44800             25
+#> 7084  VR2AR-546380     -5.637917     56.44800             25
+#> 7085  VR2AR-546380     -5.637917     56.44800             25
+#> 7086  VR2AR-546380     -5.637917     56.44800             25
+#> 7087  VR2AR-546380     -5.637917     56.44800             25
+#> 7088  VR2AR-546380     -5.637917     56.44800             25
+#> 7089  VR2AR-546380     -5.637917     56.44800             25
+#> 7090  VR2AR-546380     -5.637917     56.44800             25
+#> 7091  VR2AR-546380     -5.637917     56.44800             25
+#> 7092  VR2AR-546380     -5.637917     56.44800             25
+#> 7093  VR2AR-546380     -5.637917     56.44800             25
+#> 7094  VR2AR-546380     -5.637917     56.44800             25
+#> 7095  VR2AR-546380     -5.637917     56.44800             25
+#> 7096  VR2AR-546380     -5.637917     56.44800             25
+#> 7097  VR2AR-546380     -5.637917     56.44800             25
+#> 7098  VR2AR-546380     -5.637917     56.44800             25
+#> 7099  VR2AR-546380     -5.637917     56.44800             25
+#> 7100  VR2AR-546380     -5.637917     56.44800             25
+#> 7101  VR2AR-546380     -5.637917     56.44800             25
+#> 7102  VR2AR-546380     -5.637917     56.44800             25
+#> 7103  VR2AR-546380     -5.637917     56.44800             25
+#> 7104  VR2AR-546380     -5.637917     56.44800             25
+#> 7105  VR2AR-546380     -5.637917     56.44800             25
+#> 7106  VR2AR-546380     -5.637917     56.44800             25
+#> 7107  VR2AR-546380     -5.637917     56.44800             25
+#> 7108  VR2AR-546380     -5.637917     56.44800             25
+#> 7109  VR2AR-546380     -5.637917     56.44800             25
+#> 7110  VR2AR-546380     -5.637917     56.44800             25
+#> 7111  VR2AR-546380     -5.637917     56.44800             25
+#> 7112  VR2AR-546380     -5.637917     56.44800             25
+#> 7113  VR2AR-546380     -5.637917     56.44800             25
+#> 7114  VR2AR-546380     -5.637917     56.44800             25
+#> 7115  VR2AR-546380     -5.637917     56.44800             25
+#> 7116  VR2AR-546380     -5.637917     56.44800             25
+#> 7117  VR2AR-546380     -5.637917     56.44800             25
+#> 7118  VR2AR-546380     -5.637917     56.44800             25
+#> 7119  VR2AR-546380     -5.637917     56.44800             25
+#> 7120  VR2AR-546380     -5.637917     56.44800             25
+#> 7121  VR2AR-546380     -5.637917     56.44800             25
+#> 7122  VR2AR-546380     -5.637917     56.44800             25
+#> 7123  VR2AR-546380     -5.637917     56.44800             25
+#> 7124  VR2AR-546380     -5.637917     56.44800             25
+#> 7125  VR2AR-546380     -5.637917     56.44800             25
+#> 7126  VR2AR-546380     -5.637917     56.44800             25
+#> 7127  VR2AR-546380     -5.637917     56.44800             25
+#> 7128  VR2AR-546380     -5.637917     56.44800             25
+#> 7129  VR2AR-546380     -5.637917     56.44800             25
+#> 7130  VR2AR-546380     -5.637917     56.44800             25
+#> 7131  VR2AR-546380     -5.637917     56.44800             25
+#> 7132  VR2AR-546380     -5.637917     56.44800             25
+#> 7133  VR2AR-546380     -5.637917     56.44800             25
+#> 7134  VR2AR-546380     -5.637917     56.44800             25
+#> 7135  VR2AR-546380     -5.637917     56.44800             25
+#> 7136  VR2AR-546380     -5.637917     56.44800             25
+#> 7137  VR2AR-546380     -5.637917     56.44800             25
+#> 7138  VR2AR-546380     -5.637917     56.44800             25
+#> 7139  VR2AR-546133     -5.701717     56.49747             90
+#> 7140  VR2AR-546133     -5.701717     56.49747             90
+#> 7141  VR2AR-546133     -5.701717     56.49747             90
+#> 7142  VR2AR-546133     -5.701717     56.49747             90
+#> 7143  VR2AR-546133     -5.701717     56.49747             90
+#> 7144  VR2AR-546133     -5.701717     56.49747             90
+#> 7145  VR2AR-546133     -5.701717     56.49747             90
+#> 7146  VR2AR-546133     -5.701717     56.49747             90
+#> 7147  VR2AR-546133     -5.701717     56.49747             90
+#> 7148  VR2AR-546133     -5.701717     56.49747             90
+#> 7149  VR2AR-546133     -5.701717     56.49747             90
+#> 7150  VR2AR-546133     -5.701717     56.49747             90
+#> 7151  VR2AR-546133     -5.701717     56.49747             90
+#> 7152  VR2AR-546133     -5.701717     56.49747             90
+#> 7153      VR2-5637     -5.692417     56.49913             25
+#> 7154  VR2AR-546133     -5.701717     56.49747             90
+#> 7155  VR2AR-546133     -5.701717     56.49747             90
+#> 7156  VR2AR-546133     -5.701717     56.49747             90
+#> 7157  VR2AR-546133     -5.701717     56.49747             90
+#> 7158      VR2-5637     -5.692417     56.49913             25
+#> 7159   VR2W-108161     -5.605383     56.46018             25
+#> 7160   VR2W-108161     -5.605383     56.46018             25
+#> 7161   VR2W-108161     -5.605383     56.46018             25
+#> 7162   VR2W-108161     -5.605383     56.46018             25
+#> 7163   VR2W-108161     -5.605383     56.46018             25
+#> 7164   VR2W-108161     -5.605383     56.46018             25
+#> 7165   VR2W-108161     -5.605383     56.46018             25
+#> 7166   VR2W-108161     -5.605383     56.46018             25
+#> 7167   VR2W-108161     -5.605383     56.46018             25
+#> 7168   VR2W-108161     -5.605383     56.46018             25
+#> 7169   VR2W-108161     -5.605383     56.46018             25
+#> 7170   VR2W-108161     -5.605383     56.46018             25
+#> 7171   VR2W-108161     -5.605383     56.46018             25
+#> 7172   VR2W-108161     -5.605383     56.46018             25
+#> 7173   VR2W-108161     -5.605383     56.46018             25
+#> 7174   VR2W-108161     -5.605383     56.46018             25
+#> 7175   VR2W-108161     -5.605383     56.46018             25
+#> 7176   VR2W-108161     -5.605383     56.46018             25
+#> 7177   VR2W-108161     -5.605383     56.46018             25
+#> 7178   VR2W-108161     -5.605383     56.46018             25
+#> 7179  VR2AR-546136     -5.626250     56.44810             75
+#> 7180  VR2AR-546136     -5.626250     56.44810             75
+#> 7181  VR2AR-546136     -5.626250     56.44810             75
+#> 7182  VR2AR-546136     -5.626250     56.44810             75
+#> 7183  VR2AR-546136     -5.626250     56.44810             75
+#> 7184  VR2AR-546136     -5.626250     56.44810             75
+#> 7185  VR2AR-546136     -5.626250     56.44810             75
+#> 7186  VR2AR-546136     -5.626250     56.44810             75
+#> 7187  VR2AR-546136     -5.626250     56.44810             75
+#> 7188  VR2AR-546136     -5.626250     56.44810             75
+#> 7189  VR2AR-546136     -5.626250     56.44810             75
+#> 7190  VR2AR-546136     -5.626250     56.44810             75
+#> 7191  VR2AR-546136     -5.626250     56.44810             75
+#> 7192  VR2AR-546131     -5.612700     56.37988             35
+#> 7193  VR2AR-546131     -5.612700     56.37988             35
+#> 7194  VR2AR-546131     -5.612700     56.37988             35
+#> 7195  VR2AR-546131     -5.612700     56.37988             35
+#> 7196  VR2AR-546131     -5.612700     56.37988             35
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+#> 7198  VR2AR-546131     -5.612700     56.37988             35
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+#> 7201  VR2AR-546131     -5.612700     56.37988             35
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+#> 7203  VR2AR-546131     -5.612700     56.37988             35
+#> 7204  VR2AR-546131     -5.612700     56.37988             35
+#> 7205  VR2AR-546131     -5.612700     56.37988             35
+#> 7206  VR2AR-546131     -5.612700     56.37988             35
+#> 7207  VR2AR-546131     -5.612700     56.37988             35
+#> 7208  VR2AR-546131     -5.612700     56.37988             35
+#> 7209  VR2AR-546131     -5.612700     56.37988             35
+#> 7210  VR2AR-546131     -5.612700     56.37988             35
+#> 7211  VR2AR-546131     -5.612700     56.37988             35
+#> 7212  VR2AR-546131     -5.612700     56.37988             35
+#> 7213  VR2AR-546131     -5.612700     56.37988             35
+#> 7214  VR2AR-546131     -5.612700     56.37988             35
+#> 7215  VR2AR-546131     -5.612700     56.37988             35
+#> 7216  VR2AR-546131     -5.612700     56.37988             35
+#> 7217  VR2AR-546131     -5.612700     56.37988             35
+#> 7218  VR2AR-546131     -5.612700     56.37988             35
+#> 7219  VR2AR-546131     -5.612700     56.37988             35
+#> 7220  VR2AR-546131     -5.612700     56.37988             35
+#> 7221  VR2AR-546131     -5.612700     56.37988             35
+#> 7222  VR2AR-546131     -5.612700     56.37988             35
+#> 7223  VR2AR-546131     -5.612700     56.37988             35
+#> 7224  VR2AR-546131     -5.612700     56.37988             35
+#> 7225  VR2AR-546131     -5.612700     56.37988             35
+#> 7226  VR2AR-546131     -5.612700     56.37988             35
+#> 7227  VR2AR-546131     -5.612700     56.37988             35
+#> 7228  VR2AR-546131     -5.612700     56.37988             35
+#> 7229  VR2AR-546131     -5.612700     56.37988             35
+#> 7230  VR2AR-546131     -5.612700     56.37988             35
+#> 7231  VR2AR-546131     -5.612700     56.37988             35
+#> 7232  VR2AR-546131     -5.612700     56.37988             35
+#> 7233  VR2AR-546131     -5.612700     56.37988             35
+#> 7234  VR2AR-546131     -5.612700     56.37988             35
+#> 7235  VR2AR-546131     -5.612700     56.37988             35
+#> 7236  VR2AR-546131     -5.612700     56.37988             35
+#> 7237  VR2AR-546131     -5.612700     56.37988             35
+#> 7238  VR2AR-546131     -5.612700     56.37988             35
+#> 7239  VR2AR-546131     -5.612700     56.37988             35
+#> 7240  VR2AR-546131     -5.612700     56.37988             35
+#> 7241  VR2AR-546131     -5.612700     56.37988             35
+#> 7242  VR2AR-546131     -5.612700     56.37988             35
+#> 7243  VR2AR-546131     -5.612700     56.37988             35
+#> 7244  VR2AR-546131     -5.612700     56.37988             35
+#> 7245  VR2AR-546131     -5.612700     56.37988             35
+#> 7246  VR2AR-546131     -5.612700     56.37988             35
+#> 7247  VR2AR-546131     -5.612700     56.37988             35
+#> 7248  VR2AR-546131     -5.612700     56.37988             35
+#> 7249  VR2AR-546131     -5.612700     56.37988             35
+#> 7250  VR2AR-546131     -5.612700     56.37988             35
+#> 7251  VR2AR-546131     -5.612700     56.37988             35
+#> 7252  VR2AR-546131     -5.612700     56.37988             35
+#> 7253  VR2AR-546131     -5.612700     56.37988             35
+#> 7254  VR2AR-546131     -5.612700     56.37988             35
+#> 7255  VR2AR-546131     -5.612700     56.37988             35
+#> 7256  VR2AR-546131     -5.612700     56.37988             35
+#> 7257  VR2AR-546131     -5.612700     56.37988             35
+#> 7258  VR2AR-546131     -5.612700     56.37988             35
+#> 7259  VR2AR-546131     -5.612700     56.37988             35
+#> 7260  VR2AR-546131     -5.612700     56.37988             35
+#> 7261  VR2AR-546131     -5.612700     56.37988             35
+#> 7262  VR2AR-546131     -5.612700     56.37988             35
+#> 7263  VR2AR-546131     -5.612700     56.37988             35
+#> 7264  VR2AR-546131     -5.612700     56.37988             35
+#> 7265  VR2AR-546131     -5.612700     56.37988             35
+#> 7266  VR2AR-546131     -5.612700     56.37988             35
+#> 7267  VR2AR-546131     -5.612700     56.37988             35
+#> 7268  VR2AR-546131     -5.612700     56.37988             35
+#> 7269  VR2AR-546131     -5.612700     56.37988             35
+#> 7270  VR2AR-546131     -5.612700     56.37988             35
+#> 7271  VR2AR-546131     -5.612700     56.37988             35
+#> 7272  VR2AR-546131     -5.612700     56.37988             35
+#> 7273  VR2AR-546131     -5.612700     56.37988             35
+#> 7274  VR2AR-546131     -5.612700     56.37988             35
+#> 7275  VR2AR-546131     -5.612700     56.37988             35
+#> 7276  VR2AR-546131     -5.612700     56.37988             35
+#> 7277  VR2AR-546133     -5.701717     56.49747             90
+#> 7278  VR2AR-546133     -5.701717     56.49747             90
+#> 7279  VR2AR-546133     -5.701717     56.49747             90
+#> 7280  VR2AR-546133     -5.701717     56.49747             90
+#> 7281  VR2AR-546133     -5.701717     56.49747             90
+#> 7282  VR2AR-546133     -5.701717     56.49747             90
+#> 7283  VR2AR-546133     -5.701717     56.49747             90
+#> 7284  VR2AR-546133     -5.701717     56.49747             90
+#> 7285  VR2AR-546133     -5.701717     56.49747             90
+#> 7286  VR2AR-546133     -5.701717     56.49747             90
+#> 7287  VR2AR-546133     -5.701717     56.49747             90
+#> 7288  VR2AR-546133     -5.701717     56.49747             90
+#> 7289  VR2AR-546133     -5.701717     56.49747             90
+#> 7290  VR2AR-546133     -5.701717     56.49747             90
+#> 7291  VR2AR-546133     -5.701717     56.49747             90
+#> 7292  VR2AR-546133     -5.701717     56.49747             90
+#> 7293  VR2AR-546133     -5.701717     56.49747             90
+#> 7294  VR2AR-546133     -5.701717     56.49747             90
+#> 7295  VR2AR-546133     -5.701717     56.49747             90
+#> 7296  VR2AR-546133     -5.701717     56.49747             90
+#> 7297      VR2-5637     -5.692417     56.49913             25
+#> 7298      VR2-5630     -5.591217     56.50710             50
+#> 7299      VR2-5630     -5.591217     56.50710             50
+#> 7300      VR2-5630     -5.591217     56.50710             50
+#> 7301      VR2-5630     -5.591217     56.50710             50
+#> 7302      VR2-5630     -5.591217     56.50710             50
+#> 7303      VR2-5630     -5.591217     56.50710             50
+#> 7304      VR2-5630     -5.591217     56.50710             50
+#> 7305      VR2-5630     -5.591217     56.50710             50
+#> 7306      VR2-5630     -5.591217     56.50710             50
+#> 7307      VR2-5630     -5.591217     56.50710             50
+#> 7308      VR2-5630     -5.591217     56.50710             50
+#> 7309      VR2-6723     -5.586383     56.50332             50
+#> 7310      VR2-6723     -5.586383     56.50332             50
+#> 7311      VR2-6723     -5.586383     56.50332             50
+#> 7312      VR2-6723     -5.586383     56.50332             50
+#> 7313      VR2-6723     -5.586383     56.50332             50
+#> 7314   VR2W-108163     -5.586717     56.49755             25
+#> 7315      VR2-6723     -5.586383     56.50332             50
+#> 7316   VR2W-108163     -5.586717     56.49755             25
+#> 7317   VR2W-108163     -5.586717     56.49755             25
+#> 7318      VR2-6723     -5.586383     56.50332             50
+#> 7319   VR2W-108163     -5.586717     56.49755             25
+#> 7320   VR2W-108163     -5.586717     56.49755             25
+#> 7321   VR2W-108161     -5.605383     56.46018             25
+#> 7322   VR2W-108161     -5.605383     56.46018             25
+#> 7323   VR2W-108161     -5.605383     56.46018             25
+#> 7324   VR2W-108161     -5.605383     56.46018             25
+#> 7325   VR2W-108161     -5.605383     56.46018             25
+#> 7326   VR2W-108161     -5.605383     56.46018             25
+#> 7327   VR2W-108161     -5.605383     56.46018             25
+#> 7328   VR2W-108161     -5.605383     56.46018             25
+#> 7329   VR2W-108161     -5.605383     56.46018             25
+#> 7330   VR2W-108161     -5.605383     56.46018             25
+#> 7331   VR2W-108161     -5.605383     56.46018             25
+#> 7332   VR2W-108161     -5.605383     56.46018             25
+#> 7333   VR2W-108161     -5.605383     56.46018             25
+#> 7334   VR2W-108161     -5.605383     56.46018             25
+#> 7335   VR2W-108161     -5.605383     56.46018             25
+#> 7336   VR2W-108161     -5.605383     56.46018             25
+#> 7337   VR2W-108161     -5.605383     56.46018             25
+#> 7338   VR2W-108161     -5.605383     56.46018             25
+#> 7339   VR2W-108161     -5.605383     56.46018             25
+#> 7340   VR2W-108161     -5.605383     56.46018             25
+#> 7341   VR2W-108161     -5.605383     56.46018             25
+#> 7342  VR2AR-546136     -5.626250     56.44810             75
+#> 7343  VR2AR-546136     -5.626250     56.44810             75
+#> 7344  VR2AR-546136     -5.626250     56.44810             75
+#> 7345  VR2AR-546131     -5.612700     56.37988             35
+#> 7346  VR2AR-546131     -5.612700     56.37988             35
+#> 7347  VR2AR-546131     -5.612700     56.37988             35
+#> 7348  VR2AR-546131     -5.612700     56.37988             35
+#> 7349  VR2AR-546131     -5.612700     56.37988             35
+#> 7350  VR2AR-546131     -5.612700     56.37988             35
+#> 7351  VR2AR-546131     -5.612700     56.37988             35
+#> 7352  VR2AR-546131     -5.612700     56.37988             35
+#> 7353  VR2AR-546131     -5.612700     56.37988             35
+#> 7354  VR2AR-546131     -5.612700     56.37988             35
+#> 7355  VR2AR-546131     -5.612700     56.37988             35
+#> 7356  VR2AR-546131     -5.612700     56.37988             35
+#> 7357  VR2AR-546131     -5.612700     56.37988             35
+#> 7358  VR2AR-546131     -5.612700     56.37988             35
+#> 7359  VR2AR-546131     -5.612700     56.37988             35
+#> 7360  VR2AR-546131     -5.612700     56.37988             35
+#> 7361  VR2AR-546131     -5.612700     56.37988             35
+#> 7362  VR2AR-546131     -5.612700     56.37988             35
+#> 7363  VR2AR-546131     -5.612700     56.37988             35
+#> 7364  VR2AR-546131     -5.612700     56.37988             35
+#> 7365  VR2AR-546131     -5.612700     56.37988             35
+#> 7366  VR2AR-546131     -5.612700     56.37988             35
+#> 7367  VR2AR-546131     -5.612700     56.37988             35
+#> 7368  VR2AR-546131     -5.612700     56.37988             35
+#> 7369  VR2AR-546131     -5.612700     56.37988             35
+#> 7370  VR2AR-546131     -5.612700     56.37988             35
+#> 7371  VR2AR-546131     -5.612700     56.37988             35
+#> 7372  VR2AR-546131     -5.612700     56.37988             35
+#> 7373  VR2AR-546131     -5.612700     56.37988             35
+#> 7374  VR2AR-546131     -5.612700     56.37988             35
+#> 7375  VR2AR-546131     -5.612700     56.37988             35
+#> 7376  VR2AR-546131     -5.612700     56.37988             35
+#> 7377  VR2AR-546131     -5.612700     56.37988             35
+#> 7378  VR2AR-546131     -5.612700     56.37988             35
+#> 7379  VR2AR-546131     -5.612700     56.37988             35
+#> 7380  VR2AR-546131     -5.612700     56.37988             35
+#> 7381  VR2AR-546131     -5.612700     56.37988             35
+#> 7382  VR2AR-546131     -5.612700     56.37988             35
+#> 7383  VR2AR-546131     -5.612700     56.37988             35
+#> 7384  VR2AR-546131     -5.612700     56.37988             35
+#> 7385  VR2AR-546131     -5.612700     56.37988             35
+#> 7386  VR2AR-546131     -5.612700     56.37988             35
+#> 7387  VR2AR-546131     -5.612700     56.37988             35
+#> 7388  VR2AR-546131     -5.612700     56.37988             35
+#> 7389  VR2AR-546131     -5.612700     56.37988             35
+#> 7390  VR2AR-546131     -5.612700     56.37988             35
+#> 7391  VR2AR-546131     -5.612700     56.37988             35
+#> 7392  VR2AR-546131     -5.612700     56.37988             35
+#> 7393  VR2AR-546131     -5.612700     56.37988             35
+#> 7394  VR2AR-546131     -5.612700     56.37988             35
+#> 7395  VR2AR-546131     -5.612700     56.37988             35
+#> 7396  VR2AR-546131     -5.612700     56.37988             35
+#> 7397  VR2AR-546131     -5.612700     56.37988             35
+#> 7398  VR2AR-546131     -5.612700     56.37988             35
+#> 7399  VR2AR-546131     -5.612700     56.37988             35
+#> 7400  VR2AR-546131     -5.612700     56.37988             35
+#> 7401  VR2AR-546131     -5.612700     56.37988             35
+#> 7402  VR2AR-546131     -5.612700     56.37988             35
+#> 7403  VR2AR-546131     -5.612700     56.37988             35
+#> 7404  VR2AR-546131     -5.612700     56.37988             35
+#> 7405  VR2AR-546131     -5.612700     56.37988             35
+#> 7406  VR2AR-546131     -5.612700     56.37988             35
+#> 7407  VR2AR-546131     -5.612700     56.37988             35
+#> 7408  VR2AR-546131     -5.612700     56.37988             35
+#> 7409  VR2AR-546131     -5.612700     56.37988             35
+#> 7410  VR2AR-546131     -5.612700     56.37988             35
+#> 7411  VR2AR-546131     -5.612700     56.37988             35
+#> 7412  VR2AR-546131     -5.612700     56.37988             35
+#> 7413  VR2AR-546131     -5.612700     56.37988             35
+#> 7414  VR2AR-546131     -5.612700     56.37988             35
+#> 7415  VR2AR-546131     -5.612700     56.37988             35
+#> 7416  VR2AR-546131     -5.612700     56.37988             35
+#> 7417  VR2AR-546131     -5.612700     56.37988             35
+#> 7418  VR2AR-546131     -5.612700     56.37988             35
+#> 7419  VR2AR-546131     -5.612700     56.37988             35
+#> 7420  VR2AR-546131     -5.612700     56.37988             35
+#> 7421  VR2AR-546131     -5.612700     56.37988             35
+#> 7422  VR2AR-546131     -5.612700     56.37988             35
+#> 7423  VR2AR-546131     -5.612700     56.37988             35
+#> 7424  VR2AR-546131     -5.612700     56.37988             35
+#> 7425  VR2AR-546131     -5.612700     56.37988             35
+#> 7426  VR2AR-546131     -5.612700     56.37988             35
+#> 7427  VR2AR-546131     -5.612700     56.37988             35
+#> 7428  VR2AR-546131     -5.612700     56.37988             35
+#> 7429  VR2AR-546131     -5.612700     56.37988             35
+#> 7430  VR2AR-546131     -5.612700     56.37988             35
+#> 7431  VR2AR-546131     -5.612700     56.37988             35
+#> 7432  VR2AR-546131     -5.612700     56.37988             35
+#> 7433  VR2AR-546131     -5.612700     56.37988             35
+#> 7434  VR2AR-546131     -5.612700     56.37988             35
+#> 7435  VR2AR-546131     -5.612700     56.37988             35
+#> 7436  VR2AR-546131     -5.612700     56.37988             35
+#> 7437  VR2AR-546131     -5.612700     56.37988             35
+#> 7438  VR2AR-546131     -5.612700     56.37988             35
+#> 7439  VR2AR-546131     -5.612700     56.37988             35
+#> 7440  VR2AR-546131     -5.612700     56.37988             35
+#> 7441  VR2AR-546131     -5.612700     56.37988             35
+#> 7442  VR2AR-546131     -5.612700     56.37988             35
+#> 7443  VR2AR-546131     -5.612700     56.37988             35
+#> 7444  VR2AR-546131     -5.612700     56.37988             35
+#> 7445  VR2AR-546131     -5.612700     56.37988             35
+#> 7446  VR2AR-546131     -5.612700     56.37988             35
+#> 7447  VR2AR-546131     -5.612700     56.37988             35
+#> 7448  VR2AR-546131     -5.612700     56.37988             35
+#> 7449  VR2AR-546131     -5.612700     56.37988             35
+#> 7450  VR2AR-546131     -5.612700     56.37988             35
+#> 7451  VR2AR-546131     -5.612700     56.37988             35
+#> 7452  VR2AR-546131     -5.612700     56.37988             35
+#> 7453  VR2AR-546131     -5.612700     56.37988             35
+#> 7454  VR2AR-546131     -5.612700     56.37988             35
+#> 7455  VR2AR-546131     -5.612700     56.37988             35
+#> 7456  VR2AR-546131     -5.612700     56.37988             35
+#> 7457  VR2AR-546131     -5.612700     56.37988             35
+#> 7458  VR2AR-546131     -5.612700     56.37988             35
+#> 7459  VR2AR-546131     -5.612700     56.37988             35
+#> 7460  VR2AR-546131     -5.612700     56.37988             35
+#> 7461  VR2AR-546131     -5.612700     56.37988             35
+#> 7462  VR2AR-546131     -5.612700     56.37988             35
+#> 7463  VR2AR-546131     -5.612700     56.37988             35
+#> 7464  VR2AR-546131     -5.612700     56.37988             35
+#> 7465  VR2AR-546131     -5.612700     56.37988             35
+#> 7466  VR2AR-546131     -5.612700     56.37988             35
+#> 7467  VR2AR-546131     -5.612700     56.37988             35
+#> 7468  VR2AR-546131     -5.612700     56.37988             35
+#> 7469  VR2AR-546131     -5.612700     56.37988             35
+#> 7470  VR2AR-546131     -5.612700     56.37988             35
+#> 7471  VR2AR-546131     -5.612700     56.37988             35
+#> 7472  VR2AR-546131     -5.612700     56.37988             35
+#> 7473  VR2AR-546131     -5.612700     56.37988             35
+#> 7474  VR2AR-546131     -5.612700     56.37988             35
+#> 7475  VR2AR-546131     -5.612700     56.37988             35
+#> 7476  VR2AR-546131     -5.612700     56.37988             35
+#> 7477  VR2AR-546131     -5.612700     56.37988             35
+#> 7478  VR2AR-546131     -5.612700     56.37988             35
+#> 7479  VR2AR-546131     -5.612700     56.37988             35
+#> 7480  VR2AR-546131     -5.612700     56.37988             35
+#> 7481  VR2AR-546131     -5.612700     56.37988             35
+#> 7482  VR2AR-546131     -5.612700     56.37988             35
+#> 7483  VR2AR-546131     -5.612700     56.37988             35
+#> 7484  VR2AR-546131     -5.612700     56.37988             35
+#> 7485  VR2AR-546131     -5.612700     56.37988             35
+#> 7486  VR2AR-546131     -5.612700     56.37988             35
+#> 7487  VR2AR-546131     -5.612700     56.37988             35
+#> 7488  VR2AR-546131     -5.612700     56.37988             35
+#> 7489  VR2AR-546131     -5.612700     56.37988             35
+#> 7490  VR2AR-546131     -5.612700     56.37988             35
+#> 7491  VR2AR-546131     -5.612700     56.37988             35
+#> 7492  VR2AR-546131     -5.612700     56.37988             35
+#> 7493  VR2AR-546131     -5.612700     56.37988             35
+#> 7494  VR2AR-546131     -5.612700     56.37988             35
+#> 7495  VR2AR-546131     -5.612700     56.37988             35
+#> 7496  VR2AR-546131     -5.612700     56.37988             35
+#> 7497  VR2AR-546131     -5.612700     56.37988             35
+#> 7498  VR2AR-546131     -5.612700     56.37988             35
+#> 7499  VR2AR-546131     -5.612700     56.37988             35
+#> 7500  VR2AR-546131     -5.612700     56.37988             35
+#> 7501  VR2AR-546131     -5.612700     56.37988             35
+#> 7502  VR2AR-546131     -5.612700     56.37988             35
+#> 7503  VR2AR-546131     -5.612700     56.37988             35
+#> 7504  VR2AR-546131     -5.612700     56.37988             35
+#> 7505  VR2AR-546131     -5.612700     56.37988             35
+#> 7506  VR2AR-546131     -5.612700     56.37988             35
+#> 7507  VR2AR-546131     -5.612700     56.37988             35
+#> 7508  VR2AR-546131     -5.612700     56.37988             35
+#> 7509  VR2AR-546131     -5.612700     56.37988             35
+#> 7510  VR2AR-546131     -5.612700     56.37988             35
+#> 7511  VR2AR-546131     -5.612700     56.37988             35
+#> 7512  VR2AR-546131     -5.612700     56.37988             35
+#> 7513  VR2AR-546131     -5.612700     56.37988             35
+#> 7514  VR2AR-546131     -5.612700     56.37988             35
+#> 7515  VR2AR-546131     -5.612700     56.37988             35
+#> 7516  VR2AR-546131     -5.612700     56.37988             35
+#> 7517  VR2AR-546131     -5.612700     56.37988             35
+#> 7518  VR2AR-546131     -5.612700     56.37988             35
+#> 7519  VR2AR-546131     -5.612700     56.37988             35
+#> 7520  VR2AR-546131     -5.612700     56.37988             35
+#> 7521  VR2AR-546131     -5.612700     56.37988             35
+#> 7522  VR2AR-546131     -5.612700     56.37988             35
+#> 7523  VR2AR-546131     -5.612700     56.37988             35
+#> 7524  VR2AR-546131     -5.612700     56.37988             35
+#> 7525  VR2AR-546131     -5.612700     56.37988             35
+#> 7526  VR2AR-546131     -5.612700     56.37988             35
+#> 7527  VR2AR-546131     -5.612700     56.37988             35
+#> 7528  VR2AR-546131     -5.612700     56.37988             35
+#> 7529  VR2AR-546131     -5.612700     56.37988             35
+#> 7530  VR2AR-546131     -5.612700     56.37988             35
+#> 7531  VR2AR-546131     -5.612700     56.37988             35
+#> 7532  VR2AR-546131     -5.612700     56.37988             35
+#> 7533  VR2AR-546131     -5.612700     56.37988             35
+#> 7534  VR2AR-546131     -5.612700     56.37988             35
+#> 7535  VR2AR-546131     -5.612700     56.37988             35
+#> 7536  VR2AR-546131     -5.612700     56.37988             35
+#> 7537  VR2AR-546131     -5.612700     56.37988             35
+#> 7538  VR2AR-546131     -5.612700     56.37988             35
+#> 7539  VR2AR-546131     -5.612700     56.37988             35
+#> 7540  VR2AR-546131     -5.612700     56.37988             35
+#> 7541  VR2AR-546131     -5.612700     56.37988             35
+#> 7542  VR2AR-546131     -5.612700     56.37988             35
+#> 7543  VR2AR-546131     -5.612700     56.37988             35
+#> 7544  VR2AR-546131     -5.612700     56.37988             35
+#> 7545  VR2AR-546131     -5.612700     56.37988             35
+#> 7546  VR2AR-546131     -5.612700     56.37988             35
+#> 7547  VR2AR-546131     -5.612700     56.37988             35
+#> 7548  VR2AR-546380     -5.637917     56.44800             25
+#> 7549  VR2AR-546380     -5.637917     56.44800             25
+#> 7550  VR2AR-546380     -5.637917     56.44800             25
+#> 7551  VR2AR-546380     -5.637917     56.44800             25
+#> 7552  VR2AR-546380     -5.637917     56.44800             25
+#> 7553  VR2AR-546380     -5.637917     56.44800             25
+#> 7554  VR2AR-546380     -5.637917     56.44800             25
+#> 7555  VR2AR-546380     -5.637917     56.44800             25
+#> 7556  VR2AR-546380     -5.637917     56.44800             25
+#> 7557  VR2AR-546380     -5.637917     56.44800             25
+#> 7558  VR2AR-546380     -5.637917     56.44800             25
+#> 7559  VR2AR-546380     -5.637917     56.44800             25
+#> 7560  VR2AR-546380     -5.637917     56.44800             25
+#> 7561  VR2AR-546380     -5.637917     56.44800             25
+#> 7562  VR2AR-546380     -5.637917     56.44800             25
+#> 7563  VR2AR-546380     -5.637917     56.44800             25
+#> 7564  VR2AR-546380     -5.637917     56.44800             25
+#> 7565  VR2AR-546380     -5.637917     56.44800             25
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+#> 7863      VR2-6723     -5.586383     56.50332             50
+#> 7864   VR2W-108163     -5.586717     56.49755             25
+#> 7865   VR2W-108163     -5.586717     56.49755             25
+#> 7866      VR2-6723     -5.586383     56.50332             50
+#> 7867      VR2-6723     -5.586383     56.50332             50
+#> 7868      VR2-6723     -5.586383     56.50332             50
+#> 7869   VR2W-108163     -5.586717     56.49755             25
+#> 7870  VR2AR-546136     -5.626250     56.44810             75
+#> 7871  VR2AR-546136     -5.626250     56.44810             75
+#> 7872  VR2AR-546136     -5.626250     56.44810             75
+#> 7873  VR2AR-546136     -5.626250     56.44810             75
+#> 7874  VR2AR-546131     -5.612700     56.37988             35
+#> 7875  VR2AR-546131     -5.612700     56.37988             35
+#> 7876  VR2AR-546131     -5.612700     56.37988             35
+#> 7877  VR2AR-546131     -5.612700     56.37988             35
+#> 7878  VR2AR-546131     -5.612700     56.37988             35
+#> 7879  VR2AR-546131     -5.612700     56.37988             35
+#> 7880  VR2AR-546131     -5.612700     56.37988             35
+#> 7881  VR2AR-546131     -5.612700     56.37988             35
+#> 7882  VR2AR-546131     -5.612700     56.37988             35
+#> 7883  VR2AR-546131     -5.612700     56.37988             35
+#> 7884  VR2AR-546131     -5.612700     56.37988             35
+#> 7885  VR2AR-546131     -5.612700     56.37988             35
+#> 7886  VR2AR-546131     -5.612700     56.37988             35
+#> 7887  VR2AR-546131     -5.612700     56.37988             35
+#> 7888  VR2AR-546131     -5.612700     56.37988             35
+#> 7889  VR2AR-546131     -5.612700     56.37988             35
+#> 7890  VR2AR-546131     -5.612700     56.37988             35
+#> 7891  VR2AR-546131     -5.612700     56.37988             35
+#> 7892  VR2AR-546131     -5.612700     56.37988             35
+#> 7893  VR2AR-546131     -5.612700     56.37988             35
+#> 7894  VR2AR-546131     -5.612700     56.37988             35
+#> 7895  VR2AR-546131     -5.612700     56.37988             35
+#> 7896  VR2AR-546131     -5.612700     56.37988             35
+#> 7897  VR2AR-546131     -5.612700     56.37988             35
+#> 7898  VR2AR-546131     -5.612700     56.37988             35
+#> 7899  VR2AR-546131     -5.612700     56.37988             35
+#> 7900  VR2AR-546131     -5.612700     56.37988             35
+#> 7901  VR2AR-546131     -5.612700     56.37988             35
+#> 7902  VR2AR-546131     -5.612700     56.37988             35
+#> 7903  VR2AR-546131     -5.612700     56.37988             35
+#> 7904  VR2AR-546131     -5.612700     56.37988             35
+#> 7905  VR2AR-546131     -5.612700     56.37988             35
+#> 7906  VR2AR-546131     -5.612700     56.37988             35
+#> 7907  VR2AR-546131     -5.612700     56.37988             35
+#> 7908  VR2AR-546131     -5.612700     56.37988             35
+#> 7909  VR2AR-546131     -5.612700     56.37988             35
+#> 7910  VR2AR-546131     -5.612700     56.37988             35
+#> 7911  VR2AR-546131     -5.612700     56.37988             35
+#> 7912  VR2AR-546131     -5.612700     56.37988             35
+#> 7913  VR2AR-546131     -5.612700     56.37988             35
+#> 7914  VR2AR-546131     -5.612700     56.37988             35
+#> 7915  VR2AR-546131     -5.612700     56.37988             35
+#> 7916  VR2AR-546131     -5.612700     56.37988             35
+#> 7917  VR2AR-546131     -5.612700     56.37988             35
+#> 7918  VR2AR-546131     -5.612700     56.37988             35
+#> 7919  VR2AR-546131     -5.612700     56.37988             35
+#> 7920  VR2AR-546131     -5.612700     56.37988             35
+#> 7921  VR2AR-546131     -5.612700     56.37988             35
+#> 7922  VR2AR-546131     -5.612700     56.37988             35
+#> 7923  VR2AR-546131     -5.612700     56.37988             35
+#> 7924  VR2AR-546131     -5.612700     56.37988             35
+#> 7925  VR2AR-546131     -5.612700     56.37988             35
+#> 7926  VR2AR-546131     -5.612700     56.37988             35
+#> 7927  VR2AR-546131     -5.612700     56.37988             35
+#> 7928  VR2AR-546131     -5.612700     56.37988             35
+#> 7929  VR2AR-546131     -5.612700     56.37988             35
+#> 7930  VR2AR-546131     -5.612700     56.37988             35
+#> 7931  VR2AR-546131     -5.612700     56.37988             35
+#> 7932  VR2AR-546131     -5.612700     56.37988             35
+#> 7933  VR2AR-546131     -5.612700     56.37988             35
+#> 7934  VR2AR-546131     -5.612700     56.37988             35
+#> 7935  VR2AR-546131     -5.612700     56.37988             35
+#> 7936  VR2AR-546131     -5.612700     56.37988             35
+#> 7937  VR2AR-546131     -5.612700     56.37988             35
+#> 7938  VR2AR-546131     -5.612700     56.37988             35
+#> 7939  VR2AR-546131     -5.612700     56.37988             35
+#> 7940  VR2AR-546131     -5.612700     56.37988             35
+#> 7941  VR2AR-546131     -5.612700     56.37988             35
+#> 7942  VR2AR-546131     -5.612700     56.37988             35
+#> 7943  VR2AR-546131     -5.612700     56.37988             35
+#> 7944  VR2AR-546131     -5.612700     56.37988             35
+#> 7945  VR2AR-546131     -5.612700     56.37988             35
+#> 7946  VR2AR-546131     -5.612700     56.37988             35
+#> 7947  VR2AR-546131     -5.612700     56.37988             35
+#> 7948  VR2AR-546131     -5.612700     56.37988             35
+#> 7949  VR2AR-546131     -5.612700     56.37988             35
+#> 7950  VR2AR-546131     -5.612700     56.37988             35
+#> 7951  VR2AR-546131     -5.612700     56.37988             35
+#> 7952  VR2AR-546131     -5.612700     56.37988             35
+#> 7953  VR2AR-546131     -5.612700     56.37988             35
+#> 7954  VR2AR-546131     -5.612700     56.37988             35
+#> 7955  VR2AR-546131     -5.612700     56.37988             35
+#> 7956  VR2AR-546131     -5.612700     56.37988             35
+#> 7957  VR2AR-546131     -5.612700     56.37988             35
+#> 7958  VR2AR-546131     -5.612700     56.37988             35
+#> 7959  VR2AR-546131     -5.612700     56.37988             35
+#> 7960  VR2AR-546131     -5.612700     56.37988             35
+#> 7961  VR2AR-546131     -5.612700     56.37988             35
+#> 7962  VR2AR-546131     -5.612700     56.37988             35
+#> 7963  VR2AR-546131     -5.612700     56.37988             35
+#> 7964  VR2AR-546131     -5.612700     56.37988             35
+#> 7965  VR2AR-546131     -5.612700     56.37988             35
+#> 7966  VR2AR-546131     -5.612700     56.37988             35
+#> 7967  VR2AR-546131     -5.612700     56.37988             35
+#> 7968  VR2AR-546131     -5.612700     56.37988             35
+#> 7969  VR2AR-546131     -5.612700     56.37988             35
+#> 7970  VR2AR-546131     -5.612700     56.37988             35
+#> 7971  VR2AR-546131     -5.612700     56.37988             35
+#> 7972  VR2AR-546136     -5.626250     56.44810             75
+#> 7973  VR2AR-546380     -5.637917     56.44800             25
+#> 7974  VR2AR-546380     -5.637917     56.44800             25
+#> 7975  VR2AR-546380     -5.637917     56.44800             25
+#> 7976  VR2AR-546380     -5.637917     56.44800             25
+#> 7977  VR2AR-546380     -5.637917     56.44800             25
+#> 7978  VR2AR-546380     -5.637917     56.44800             25
+#> 7979  VR2AR-546136     -5.626250     56.44810             75
+#> 7980  VR2AR-546380     -5.637917     56.44800             25
+#> 7981  VR2AR-546380     -5.637917     56.44800             25
+#> 7982  VR2AR-546380     -5.637917     56.44800             25
+#> 7983  VR2AR-546380     -5.637917     56.44800             25
+#> 7984  VR2AR-546136     -5.626250     56.44810             75
+#> 7985  VR2AR-546380     -5.637917     56.44800             25
+#> 7986  VR2AR-546380     -5.637917     56.44800             25
+#> 7987  VR2AR-546380     -5.637917     56.44800             25
+#> 7988  VR2AR-546136     -5.626250     56.44810             75
+#> 7989  VR2AR-546136     -5.626250     56.44810             75
+#> 7990  VR2AR-546380     -5.637917     56.44800             25
+#> 7991  VR2AR-546136     -5.626250     56.44810             75
+#> 7992  VR2AR-546136     -5.626250     56.44810             75
+#> 7993  VR2AR-546136     -5.626250     56.44810             75
+#> 7994  VR2AR-546131     -5.612700     56.37988             35
+#> 7995  VR2AR-546131     -5.612700     56.37988             35
+#> 7996  VR2AR-546131     -5.612700     56.37988             35
+#> 7997  VR2AR-546131     -5.612700     56.37988             35
+#> 7998  VR2AR-546131     -5.612700     56.37988             35
+#> 7999  VR2AR-546131     -5.612700     56.37988             35
+#> 8000  VR2AR-546131     -5.612700     56.37988             35
+#> 8001  VR2AR-546131     -5.612700     56.37988             35
+#> 8002  VR2AR-546131     -5.612700     56.37988             35
+#> 8003  VR2AR-546131     -5.612700     56.37988             35
+#> 8004  VR2AR-546131     -5.612700     56.37988             35
+#> 8005  VR2AR-546131     -5.612700     56.37988             35
+#> 8006  VR2AR-546131     -5.612700     56.37988             35
+#> 8007  VR2AR-546131     -5.612700     56.37988             35
+#> 8008  VR2AR-546131     -5.612700     56.37988             35
+#> 8009  VR2AR-546131     -5.612700     56.37988             35
+#> 8010  VR2AR-546131     -5.612700     56.37988             35
+#> 8011  VR2AR-546131     -5.612700     56.37988             35
+#> 8012  VR2AR-546131     -5.612700     56.37988             35
+#> 8013  VR2AR-546131     -5.612700     56.37988             35
+#> 8014  VR2AR-546131     -5.612700     56.37988             35
+#> 8015  VR2AR-546131     -5.612700     56.37988             35
+#> 8016  VR2AR-546131     -5.612700     56.37988             35
+#> 8017  VR2AR-546131     -5.612700     56.37988             35
+#> 8018  VR2AR-546131     -5.612700     56.37988             35
+#> 8019  VR2AR-546131     -5.612700     56.37988             35
+#> 8020  VR2AR-546131     -5.612700     56.37988             35
+#> 8021  VR2AR-546131     -5.612700     56.37988             35
+#> 8022  VR2AR-546131     -5.612700     56.37988             35
+#> 8023  VR2AR-546131     -5.612700     56.37988             35
+#> 8024  VR2AR-546131     -5.612700     56.37988             35
+#> 8025  VR2AR-546131     -5.612700     56.37988             35
+#> 8026  VR2AR-546131     -5.612700     56.37988             35
+#> 8027  VR2AR-546131     -5.612700     56.37988             35
+#> 8028  VR2AR-546131     -5.612700     56.37988             35
+#> 8029  VR2AR-546131     -5.612700     56.37988             35
+#> 8030  VR2AR-546131     -5.612700     56.37988             35
+#> 8031  VR2AR-546131     -5.612700     56.37988             35
+#> 8032  VR2AR-546131     -5.612700     56.37988             35
+#> 8033  VR2AR-546131     -5.612700     56.37988             35
+#> 8034  VR2AR-546131     -5.612700     56.37988             35
+#> 8035  VR2AR-546131     -5.612700     56.37988             35
+#> 8036  VR2AR-546131     -5.612700     56.37988             35
+#> 8037  VR2AR-546131     -5.612700     56.37988             35
+#> 8038  VR2AR-546131     -5.612700     56.37988             35
+#> 8039  VR2AR-546131     -5.612700     56.37988             35
+#> 8040  VR2AR-546131     -5.612700     56.37988             35
+#> 8041  VR2AR-546131     -5.612700     56.37988             35
+#> 8042  VR2AR-546131     -5.612700     56.37988             35
+#> 8043  VR2AR-546131     -5.612700     56.37988             35
+#> 8044  VR2AR-546131     -5.612700     56.37988             35
+#> 8045  VR2AR-546131     -5.612700     56.37988             35
+#> 8046  VR2AR-546131     -5.612700     56.37988             35
+#> 8047  VR2AR-546131     -5.612700     56.37988             35
+#> 8048  VR2AR-546131     -5.612700     56.37988             35
+#> 8049  VR2AR-546131     -5.612700     56.37988             35
+#> 8050  VR2AR-546131     -5.612700     56.37988             35
+#> 8051  VR2AR-546131     -5.612700     56.37988             35
+#> 8052  VR2AR-546131     -5.612700     56.37988             35
+#> 8053  VR2AR-546131     -5.612700     56.37988             35
+#> 8054  VR2AR-546131     -5.612700     56.37988             35
+#> 8055  VR2AR-546131     -5.612700     56.37988             35
+#> 8056  VR2AR-546131     -5.612700     56.37988             35
+#> 8057  VR2AR-546131     -5.612700     56.37988             35
+#> 8058  VR2AR-546131     -5.612700     56.37988             35
+#> 8059  VR2AR-546131     -5.612700     56.37988             35
+#> 8060  VR2AR-546131     -5.612700     56.37988             35
+#> 8061  VR2AR-546131     -5.612700     56.37988             35
+#> 8062  VR2AR-546131     -5.612700     56.37988             35
+#> 8063  VR2AR-546131     -5.612700     56.37988             35
+#> 8064  VR2AR-546131     -5.612700     56.37988             35
+#> 8065  VR2AR-546131     -5.612700     56.37988             35
+#> 8066  VR2AR-546131     -5.612700     56.37988             35
+#> 8067  VR2AR-546131     -5.612700     56.37988             35
+#> 8068  VR2AR-546131     -5.612700     56.37988             35
+#> 8069  VR2AR-546131     -5.612700     56.37988             35
+#> 8070  VR2AR-546131     -5.612700     56.37988             35
+#> 8071  VR2AR-546131     -5.612700     56.37988             35
+#> 8072  VR2AR-546131     -5.612700     56.37988             35
+#> 8073  VR2AR-546131     -5.612700     56.37988             35
+#> 8074  VR2AR-546131     -5.612700     56.37988             35
+#> 8075  VR2AR-546131     -5.612700     56.37988             35
+#> 8076  VR2AR-546131     -5.612700     56.37988             35
+#> 8077  VR2AR-546131     -5.612700     56.37988             35
+#> 8078  VR2AR-546131     -5.612700     56.37988             35
+#> 8079  VR2AR-546131     -5.612700     56.37988             35
+#> 8080  VR2AR-546131     -5.612700     56.37988             35
+#> 8081  VR2AR-546131     -5.612700     56.37988             35
+#> 8082  VR2AR-546131     -5.612700     56.37988             35
+#> 8083  VR2AR-546131     -5.612700     56.37988             35
+#> 8084  VR2AR-546131     -5.612700     56.37988             35
+#> 8085  VR2AR-546131     -5.612700     56.37988             35
+#> 8086  VR2AR-546131     -5.612700     56.37988             35
+#> 8087  VR2AR-546131     -5.612700     56.37988             35
+#> 8088  VR2AR-546131     -5.612700     56.37988             35
+#> 8089  VR2AR-546131     -5.612700     56.37988             35
+#> 8090  VR2AR-546131     -5.612700     56.37988             35
+#> 8091  VR2AR-546131     -5.612700     56.37988             35
+#> 8092  VR2AR-546131     -5.612700     56.37988             35
+#> 8093  VR2AR-546131     -5.612700     56.37988             35
+#> 8094  VR2AR-546131     -5.612700     56.37988             35
+#> 8095  VR2AR-546131     -5.612700     56.37988             35
+#> 8096  VR2AR-546131     -5.612700     56.37988             35
+#> 8097  VR2AR-546131     -5.612700     56.37988             35
+#> 8098  VR2AR-546131     -5.612700     56.37988             35
+#> 8099  VR2AR-546131     -5.612700     56.37988             35
+#> 8100  VR2AR-546131     -5.612700     56.37988             35
+#> 8101  VR2AR-546131     -5.612700     56.37988             35
+#> 8102  VR2AR-546131     -5.612700     56.37988             35
+#> 8103  VR2AR-546131     -5.612700     56.37988             35
+#> 8104  VR2AR-546131     -5.612700     56.37988             35
+#> 8105  VR2AR-546131     -5.612700     56.37988             35
+#> 8106  VR2AR-546131     -5.612700     56.37988             35
+#> 8107  VR2AR-546131     -5.612700     56.37988             35
+#> 8108  VR2AR-546131     -5.612700     56.37988             35
+#> 8109  VR2AR-546131     -5.612700     56.37988             35
+#> 8110  VR2AR-546131     -5.612700     56.37988             35
+#> 8111  VR2AR-546131     -5.612700     56.37988             35
+#> 8112  VR2AR-546131     -5.612700     56.37988             35
+#> 8113  VR2AR-546131     -5.612700     56.37988             35
+#> 8114  VR2AR-546131     -5.612700     56.37988             35
+#> 8115  VR2AR-546131     -5.612700     56.37988             35
+#> 8116  VR2AR-546131     -5.612700     56.37988             35
+#> 8117  VR2AR-546131     -5.612700     56.37988             35
+#> 8118  VR2AR-546131     -5.612700     56.37988             35
+#> 8119  VR2AR-546131     -5.612700     56.37988             35
+#> 8120  VR2AR-546131     -5.612700     56.37988             35
+#> 8121  VR2AR-546131     -5.612700     56.37988             35
+#> 8122  VR2AR-546131     -5.612700     56.37988             35
+#> 8123  VR2AR-546131     -5.612700     56.37988             35
+#> 8124  VR2AR-546131     -5.612700     56.37988             35
+#> 8125  VR2AR-546131     -5.612700     56.37988             35
+#> 8126  VR2AR-546131     -5.612700     56.37988             35
+#> 8127  VR2AR-546131     -5.612700     56.37988             35
+#> 8128  VR2AR-546131     -5.612700     56.37988             35
+#> 8129  VR2AR-546131     -5.612700     56.37988             35
+#> 8130  VR2AR-546131     -5.612700     56.37988             35
+#> 8131  VR2AR-546131     -5.612700     56.37988             35
+#> 8132  VR2AR-546131     -5.612700     56.37988             35
+#> 8133  VR2AR-546131     -5.612700     56.37988             35
+#> 8134  VR2AR-546131     -5.612700     56.37988             35
+#> 8135  VR2AR-546131     -5.612700     56.37988             35
+#> 8136  VR2AR-546131     -5.612700     56.37988             35
+#> 8137  VR2AR-546131     -5.612700     56.37988             35
+#> 8138  VR2AR-546131     -5.612700     56.37988             35
+#> 8139  VR2AR-546131     -5.612700     56.37988             35
+#> 8140  VR2AR-546131     -5.612700     56.37988             35
+#> 8141  VR2AR-546131     -5.612700     56.37988             35
+#> 8142  VR2AR-546131     -5.612700     56.37988             35
+#> 8143  VR2AR-546131     -5.612700     56.37988             35
+#> 8144  VR2AR-546131     -5.612700     56.37988             35
+#> 8145  VR2AR-546131     -5.612700     56.37988             35
+#> 8146  VR2AR-546131     -5.612700     56.37988             35
+#> 8147  VR2AR-546131     -5.612700     56.37988             35
+#> 8148  VR2AR-546131     -5.612700     56.37988             35
+#> 8149  VR2AR-546131     -5.612700     56.37988             35
+#> 8150  VR2AR-546131     -5.612700     56.37988             35
+#> 8151  VR2AR-546131     -5.612700     56.37988             35
+#> 8152  VR2AR-546131     -5.612700     56.37988             35
+#> 8153  VR2AR-546131     -5.612700     56.37988             35
+#> 8154  VR2AR-546131     -5.612700     56.37988             35
+#> 8155  VR2AR-546131     -5.612700     56.37988             35
+#> 8156  VR2AR-546131     -5.612700     56.37988             35
+#> 8157  VR2AR-546131     -5.612700     56.37988             35
+#> 8158  VR2AR-546131     -5.612700     56.37988             35
+#> 8159  VR2AR-546131     -5.612700     56.37988             35
+#> 8160  VR2AR-546131     -5.612700     56.37988             35
+#> 8161  VR2AR-546131     -5.612700     56.37988             35
+#> 8162  VR2AR-546131     -5.612700     56.37988             35
+#> 8163  VR2AR-546131     -5.612700     56.37988             35
+#> 8164  VR2AR-546131     -5.612700     56.37988             35
+#> 8165  VR2AR-546131     -5.612700     56.37988             35
+#> 8166  VR2AR-546131     -5.612700     56.37988             35
+#> 8167  VR2AR-546131     -5.612700     56.37988             35
+#> 8168  VR2AR-546131     -5.612700     56.37988             35
+#> 8169  VR2AR-546131     -5.612700     56.37988             35
+#> 8170  VR2AR-546131     -5.612700     56.37988             35
+#> 8171  VR2AR-546131     -5.612700     56.37988             35
+#> 8172  VR2AR-546131     -5.612700     56.37988             35
+#> 8173  VR2AR-546131     -5.612700     56.37988             35
+#> 8174  VR2AR-546131     -5.612700     56.37988             35
+#> 8175  VR2AR-546131     -5.612700     56.37988             35
+#> 8176  VR2AR-546131     -5.612700     56.37988             35
+#> 8177  VR2AR-546131     -5.612700     56.37988             35
+#> 8178  VR2AR-546131     -5.612700     56.37988             35
+#> 8179  VR2AR-546131     -5.612700     56.37988             35
+#> 8180  VR2AR-546131     -5.612700     56.37988             35
+#> 8181  VR2AR-546131     -5.612700     56.37988             35
+#> 8182  VR2AR-546131     -5.612700     56.37988             35
+#> 8183  VR2AR-546131     -5.612700     56.37988             35
+#> 8184  VR2AR-546131     -5.612700     56.37988             35
+#> 8185  VR2AR-546131     -5.612700     56.37988             35
+#> 8186  VR2AR-546131     -5.612700     56.37988             35
+#> 8187  VR2AR-546131     -5.612700     56.37988             35
+#> 8188  VR2AR-546131     -5.612700     56.37988             35
+#> 8189  VR2AR-546131     -5.612700     56.37988             35
+#> 8190  VR2AR-546131     -5.612700     56.37988             35
+#> 8191  VR2AR-546131     -5.612700     56.37988             35
+#> 8192  VR2AR-546131     -5.612700     56.37988             35
+#> 8193  VR2AR-546131     -5.612700     56.37988             35
+#> 8194  VR2AR-546131     -5.612700     56.37988             35
+#> 8195  VR2AR-546131     -5.612700     56.37988             35
+#> 8196  VR2AR-546131     -5.612700     56.37988             35
+#> 8197  VR2AR-546131     -5.612700     56.37988             35
+#> 8198  VR2AR-546131     -5.612700     56.37988             35
+#> 8199  VR2AR-546134     -5.643867     56.38278            145
+#> 8200  VR2AR-546134     -5.643867     56.38278            145
+#> 8201  VR2AR-546134     -5.643867     56.38278            145
+#> 8202  VR2AR-546134     -5.643867     56.38278            145
+#> 8203  VR2AR-546134     -5.643867     56.38278            145
+#> 8204  VR2AR-546134     -5.643867     56.38278            145
+#> 8205  VR2AR-546134     -5.643867     56.38278            145
+#> 8206  VR2AR-546134     -5.643867     56.38278            145
+#> 8207  VR2AR-546135     -5.657067     56.38803             85
+#> 8208  VR2AR-546135     -5.657067     56.38803             85
+#> 8209  VR2AR-546135     -5.657067     56.38803             85
+#> 8210  VR2AR-546135     -5.657067     56.38803             85
+#> 8211  VR2AR-546135     -5.657067     56.38803             85
+#> 8212  VR2AR-546135     -5.657067     56.38803             85
+#> 8213  VR2AR-546135     -5.657067     56.38803             85
+#> 8214  VR2AR-546135     -5.657067     56.38803             85
+#> 8215  VR2AR-546135     -5.657067     56.38803             85
+#> 8216  VR2AR-546135     -5.657067     56.38803             85
+#> 8217  VR2AR-546135     -5.657067     56.38803             85
+#> 8218  VR2AR-546135     -5.657067     56.38803             85
+#> 8219  VR2AR-546135     -5.657067     56.38803             85
+#> 8220  VR2AR-546135     -5.657067     56.38803             85
+#> 8221  VR2AR-546135     -5.657067     56.38803             85
+#> 8222  VR2AR-546135     -5.657067     56.38803             85
+#> 8223  VR2AR-546135     -5.657067     56.38803             85
+#> 8224  VR2AR-546135     -5.657067     56.38803             85
+#> 8225  VR2AR-546135     -5.657067     56.38803             85
+#> 8226  VR2AR-546135     -5.657067     56.38803             85
+#> 8227  VR2AR-546135     -5.657067     56.38803             85
+#> 8228  VR2AR-546380     -5.637917     56.44800             25
+#> 8229  VR2AR-546380     -5.637917     56.44800             25
+#> 8230  VR2AR-546380     -5.637917     56.44800             25
+#> 8231  VR2AR-546380     -5.637917     56.44800             25
+#> 8232  VR2AR-546380     -5.637917     56.44800             25
+#> 8233  VR2AR-546380     -5.637917     56.44800             25
+#> 8234  VR2AR-546380     -5.637917     56.44800             25
+#> 8235      VR2-5637     -5.692417     56.49913             25
+#> 8236      VR2-5637     -5.692417     56.49913             25
+#> 8237      VR2-5637     -5.692417     56.49913             25
+#> 8238      VR2-5637     -5.692417     56.49913             25
+#> 8239      VR2-5637     -5.692417     56.49913             25
+#> 8240      VR2-5637     -5.692417     56.49913             25
+#> 8241      VR2-5637     -5.692417     56.49913             25
+#> 8242      VR2-5637     -5.692417     56.49913             25
+#> 8243      VR2-5637     -5.692417     56.49913             25
+#> 8244      VR2-5637     -5.692417     56.49913             25
+#> 8245  VR2AR-546380     -5.637917     56.44800             25
+#> 8246  VR2AR-546380     -5.637917     56.44800             25
+#> 8247  VR2AR-546380     -5.637917     56.44800             25
+#> 8248  VR2AR-546380     -5.637917     56.44800             25
+#> 8249  VR2AR-546380     -5.637917     56.44800             25
+#> 8250  VR2AR-546380     -5.637917     56.44800             25
+#> 8251  VR2AR-546380     -5.637917     56.44800             25
+#> 8252  VR2AR-546380     -5.637917     56.44800             25
+#> 8253  VR2AR-546380     -5.637917     56.44800             25
+#> 8254  VR2AR-546380     -5.637917     56.44800             25
+#> 8255  VR2AR-546380     -5.637917     56.44800             25
+#> 8256  VR2AR-546380     -5.637917     56.44800             25
+#> 8257  VR2AR-546380     -5.637917     56.44800             25
+#> 8258  VR2AR-546380     -5.637917     56.44800             25
+#> 8259  VR2AR-546134     -5.643867     56.38278            145
+#> 8260  VR2AR-546134     -5.643867     56.38278            145
+#> 8261  VR2AR-546134     -5.643867     56.38278            145
+#> 8262  VR2AR-546134     -5.643867     56.38278            145
+#> 8263  VR2AR-546134     -5.643867     56.38278            145
+#> 8264  VR2AR-546134     -5.643867     56.38278            145
+#> 8265  VR2AR-546134     -5.643867     56.38278            145
+#> 8266  VR2AR-546134     -5.643867     56.38278            145
+#> 8267  VR2AR-546134     -5.643867     56.38278            145
+#> 8268  VR2AR-546134     -5.643867     56.38278            145
+#> 8269  VR2AR-546134     -5.643867     56.38278            145
+#> 8270  VR2AR-546134     -5.643867     56.38278            145
+#> 8271  VR2AR-546134     -5.643867     56.38278            145
+#> 8272  VR2AR-546134     -5.643867     56.38278            145
+#> 8273  VR2AR-546134     -5.643867     56.38278            145
+#> 8274  VR2AR-546134     -5.643867     56.38278            145
+#> 8275  VR2AR-546134     -5.643867     56.38278            145
+#> 8276  VR2AR-546134     -5.643867     56.38278            145
+#> 8277  VR2AR-546134     -5.643867     56.38278            145
+#> 8278  VR2AR-546134     -5.643867     56.38278            145
+#> 8279  VR2AR-546134     -5.643867     56.38278            145
+#> 8280  VR2AR-546134     -5.643867     56.38278            145
+#> 8281  VR2AR-546134     -5.643867     56.38278            145
+#> 8282  VR2AR-546134     -5.643867     56.38278            145
+#> 8283  VR2AR-546134     -5.643867     56.38278            145
+#> 8284  VR2AR-546134     -5.643867     56.38278            145
+#> 8285  VR2AR-546134     -5.643867     56.38278            145
+#> 8286  VR2AR-546134     -5.643867     56.38278            145
+#> 8287  VR2AR-546134     -5.643867     56.38278            145
+#> 8288  VR2AR-546134     -5.643867     56.38278            145
+#> 8289  VR2AR-546134     -5.643867     56.38278            145
+#> 8290  VR2AR-546134     -5.643867     56.38278            145
+#> 8291  VR2AR-546134     -5.643867     56.38278            145
+#> 8292  VR2AR-546134     -5.643867     56.38278            145
+#> 8293  VR2AR-546134     -5.643867     56.38278            145
+#> 8294  VR2AR-546135     -5.657067     56.38803             85
+#> 8295  VR2AR-546135     -5.657067     56.38803             85
+#> 8296  VR2AR-546135     -5.657067     56.38803             85
+#> 8297  VR2AR-546135     -5.657067     56.38803             85
+#> 8298  VR2AR-546135     -5.657067     56.38803             85
+#> 8299  VR2AR-546135     -5.657067     56.38803             85
+#> 8300  VR2AR-546135     -5.657067     56.38803             85
+#> 8301  VR2AR-546135     -5.657067     56.38803             85
+#> 8302  VR2AR-546135     -5.657067     56.38803             85
+#> 8303  VR2AR-546135     -5.657067     56.38803             85
+#> 8304  VR2AR-546135     -5.657067     56.38803             85
+#> 8305  VR2AR-546135     -5.657067     56.38803             85
+#> 8306  VR2AR-546135     -5.657067     56.38803             85
+#> 8307  VR2AR-546135     -5.657067     56.38803             85
+#> 8308  VR2AR-546135     -5.657067     56.38803             85
+#> 8309  VR2AR-546135     -5.657067     56.38803             85
+#> 8310  VR2AR-546135     -5.657067     56.38803             85
+#> 8311  VR2AR-546135     -5.657067     56.38803             85
+#> 8312  VR2AR-546135     -5.657067     56.38803             85
+#> 8313  VR2AR-546135     -5.657067     56.38803             85
+#> 8314  VR2AR-546135     -5.657067     56.38803             85
+#> 8315  VR2AR-546135     -5.657067     56.38803             85
+#> 8316  VR2AR-546135     -5.657067     56.38803             85
+#> 8317  VR2AR-546135     -5.657067     56.38803             85
+#> 8318  VR2AR-546135     -5.657067     56.38803             85
+#> 8319  VR2AR-546135     -5.657067     56.38803             85
+#> 8320  VR2AR-546135     -5.657067     56.38803             85
+#> 8321  VR2AR-546135     -5.657067     56.38803             85
+#> 8322  VR2AR-546134     -5.643867     56.38278            145
+#> 8323  VR2AR-546134     -5.643867     56.38278            145
+#> 8324  VR2AR-546134     -5.643867     56.38278            145
+#> 8325  VR2AR-546134     -5.643867     56.38278            145
+#> 8326  VR2AR-546134     -5.643867     56.38278            145
+#> 8327  VR2AR-546134     -5.643867     56.38278            145
+#> 8328  VR2AR-546134     -5.643867     56.38278            145
+#> 8329  VR2AR-546134     -5.643867     56.38278            145
+#> 8330  VR2AR-546134     -5.643867     56.38278            145
+#> 8331  VR2AR-546134     -5.643867     56.38278            145
+#> 8332  VR2AR-546134     -5.643867     56.38278            145
+#> 8333  VR2AR-546134     -5.643867     56.38278            145
+#> 8334  VR2AR-546134     -5.643867     56.38278            145
+#> 8335  VR2AR-546134     -5.643867     56.38278            145
+#> 8336  VR2AR-546134     -5.643867     56.38278            145
+#> 8337  VR2AR-546134     -5.643867     56.38278            145
+#> 8338  VR2AR-546134     -5.643867     56.38278            145
+#> 8339  VR2AR-546134     -5.643867     56.38278            145
+#> 8340  VR2AR-546134     -5.643867     56.38278            145
+#> 8341  VR2AR-546134     -5.643867     56.38278            145
+#> 8342  VR2AR-546134     -5.643867     56.38278            145
+#> 8343  VR2AR-546134     -5.643867     56.38278            145
+#> 8344  VR2AR-546134     -5.643867     56.38278            145
+#> 8345  VR2AR-546134     -5.643867     56.38278            145
+#> 8346  VR2AR-546134     -5.643867     56.38278            145
+#> 8347  VR2AR-546134     -5.643867     56.38278            145
+#> 8348  VR2AR-546134     -5.643867     56.38278            145
+#> 8349  VR2AR-546134     -5.643867     56.38278            145
+#> 8350  VR2AR-546134     -5.643867     56.38278            145
+#> 8351   VR2W-108160     -5.631733     56.37447             50
+#> 8352  VR2AR-546131     -5.612700     56.37988             35
+#> 8353  VR2AR-546131     -5.612700     56.37988             35
+#> 8354  VR2AR-546131     -5.612700     56.37988             35
+#> 8355  VR2AR-546131     -5.612700     56.37988             35
+#> 8356  VR2AR-546131     -5.612700     56.37988             35
+#> 8357  VR2AR-546131     -5.612700     56.37988             35
+#> 8358  VR2AR-546131     -5.612700     56.37988             35
+#> 8359  VR2AR-546131     -5.612700     56.37988             35
+#> 8360  VR2AR-546131     -5.612700     56.37988             35
+#> 8361  VR2AR-546131     -5.612700     56.37988             35
+#> 8362  VR2AR-546131     -5.612700     56.37988             35
+#> 8363  VR2AR-546131     -5.612700     56.37988             35
+#> 8364  VR2AR-546131     -5.612700     56.37988             35
+#> 8365  VR2AR-546131     -5.612700     56.37988             35
+#> 8366  VR2AR-546131     -5.612700     56.37988             35
+#> 8367  VR2AR-546131     -5.612700     56.37988             35
+#> 8368  VR2AR-546131     -5.612700     56.37988             35
+#> 8369  VR2AR-546131     -5.612700     56.37988             35
+#> 8370  VR2AR-546131     -5.612700     56.37988             35
+#> 8371  VR2AR-546131     -5.612700     56.37988             35
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+#> 8373  VR2AR-546131     -5.612700     56.37988             35
+#> 8374  VR2AR-546131     -5.612700     56.37988             35
+#> 8375  VR2AR-546131     -5.612700     56.37988             35
+#> 8376  VR2AR-546131     -5.612700     56.37988             35
+#> 8377  VR2AR-546131     -5.612700     56.37988             35
+#> 8378  VR2AR-546131     -5.612700     56.37988             35
+#> 8379  VR2AR-546131     -5.612700     56.37988             35
+#> 8380  VR2AR-546131     -5.612700     56.37988             35
+#> 8381  VR2AR-546131     -5.612700     56.37988             35
+#> 8382  VR2AR-546131     -5.612700     56.37988             35
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+#> 8384  VR2AR-546131     -5.612700     56.37988             35
+#> 8385  VR2AR-546131     -5.612700     56.37988             35
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+#> 8388  VR2AR-546131     -5.612700     56.37988             35
+#> 8389  VR2AR-546131     -5.612700     56.37988             35
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+#> 8392  VR2AR-546131     -5.612700     56.37988             35
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+#> 8394  VR2AR-546131     -5.612700     56.37988             35
+#> 8395  VR2AR-546131     -5.612700     56.37988             35
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+#> 8397  VR2AR-546131     -5.612700     56.37988             35
+#> 8398  VR2AR-546131     -5.612700     56.37988             35
+#> 8399  VR2AR-546131     -5.612700     56.37988             35
+#> 8400  VR2AR-546131     -5.612700     56.37988             35
+#> 8401  VR2AR-546131     -5.612700     56.37988             35
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+#> 8405  VR2AR-546131     -5.612700     56.37988             35
+#> 8406  VR2AR-546131     -5.612700     56.37988             35
+#> 8407  VR2AR-546131     -5.612700     56.37988             35
+#> 8408  VR2AR-546131     -5.612700     56.37988             35
+#> 8409  VR2AR-546131     -5.612700     56.37988             35
+#> 8410  VR2AR-546131     -5.612700     56.37988             35
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+#> 8414  VR2AR-546131     -5.612700     56.37988             35
+#> 8415  VR2AR-546131     -5.612700     56.37988             35
+#> 8416  VR2AR-546131     -5.612700     56.37988             35
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+#> 8418  VR2AR-546131     -5.612700     56.37988             35
+#> 8419  VR2AR-546131     -5.612700     56.37988             35
+#> 8420  VR2AR-546131     -5.612700     56.37988             35
+#> 8421  VR2AR-546131     -5.612700     56.37988             35
+#> 8422  VR2AR-546131     -5.612700     56.37988             35
+#> 8423  VR2AR-546131     -5.612700     56.37988             35
+#> 8424  VR2AR-546131     -5.612700     56.37988             35
+#> 8425  VR2AR-546131     -5.612700     56.37988             35
+#> 8426  VR2AR-546131     -5.612700     56.37988             35
+#> 8427  VR2AR-546131     -5.612700     56.37988             35
+#> 8428  VR2AR-546131     -5.612700     56.37988             35
+#> 8429  VR2AR-546131     -5.612700     56.37988             35
+#> 8430  VR2AR-546131     -5.612700     56.37988             35
+#> 8431  VR2AR-546131     -5.612700     56.37988             35
+#> 8432  VR2AR-546131     -5.612700     56.37988             35
+#> 8433  VR2AR-546131     -5.612700     56.37988             35
+#> 8434  VR2AR-546131     -5.612700     56.37988             35
+#> 8435  VR2AR-546131     -5.612700     56.37988             35
+#> 8436  VR2AR-546131     -5.612700     56.37988             35
+#> 8437  VR2AR-546131     -5.612700     56.37988             35
+#> 8438  VR2AR-546131     -5.612700     56.37988             35
+#> 8439  VR2AR-546131     -5.612700     56.37988             35
+#> 8440  VR2AR-546131     -5.612700     56.37988             35
+#> 8441  VR2AR-546131     -5.612700     56.37988             35
+#> 8442  VR2AR-546131     -5.612700     56.37988             35
+#> 8443  VR2AR-546131     -5.612700     56.37988             35
+#> 8444  VR2AR-546131     -5.612700     56.37988             35
+#> 8445  VR2AR-546131     -5.612700     56.37988             35
+#> 8446  VR2AR-546131     -5.612700     56.37988             35
+#> 8447  VR2AR-546131     -5.612700     56.37988             35
+#> 8448  VR2AR-546131     -5.612700     56.37988             35
+#> 8449  VR2AR-546131     -5.612700     56.37988             35
+#> 8450  VR2AR-546131     -5.612700     56.37988             35
+#> 8451  VR2AR-546131     -5.612700     56.37988             35
+#> 8452  VR2AR-546131     -5.612700     56.37988             35
+#> 8453  VR2AR-546131     -5.612700     56.37988             35
+#> 8454  VR2AR-546131     -5.612700     56.37988             35
+#> 8455  VR2AR-546131     -5.612700     56.37988             35
+#> 8456  VR2AR-546131     -5.612700     56.37988             35
+#> 8457  VR2AR-546131     -5.612700     56.37988             35
+#> 8458  VR2AR-546131     -5.612700     56.37988             35
+#> 8459  VR2AR-546131     -5.612700     56.37988             35
+#> 8460  VR2AR-546131     -5.612700     56.37988             35
+#> 8461  VR2AR-546131     -5.612700     56.37988             35
+#> 8462  VR2AR-546131     -5.612700     56.37988             35
+#> 8463  VR2AR-546131     -5.612700     56.37988             35
+#> 8464  VR2AR-546131     -5.612700     56.37988             35
+#> 8465  VR2AR-546131     -5.612700     56.37988             35
+#> 8466  VR2AR-546131     -5.612700     56.37988             35
+#> 8467  VR2AR-546131     -5.612700     56.37988             35
+#> 8468  VR2AR-546131     -5.612700     56.37988             35
+#> 8469  VR2AR-546131     -5.612700     56.37988             35
+#> 8470  VR2AR-546131     -5.612700     56.37988             35
+#> 8471  VR2AR-546131     -5.612700     56.37988             35
+#> 8472  VR2AR-546131     -5.612700     56.37988             35
+#> 8473  VR2AR-546131     -5.612700     56.37988             35
+#> 8474  VR2AR-546131     -5.612700     56.37988             35
+#> 8475  VR2AR-546131     -5.612700     56.37988             35
+#> 8476  VR2AR-546131     -5.612700     56.37988             35
+#> 8477  VR2AR-546131     -5.612700     56.37988             35
+#> 8478  VR2AR-546131     -5.612700     56.37988             35
+#> 8479  VR2AR-546131     -5.612700     56.37988             35
+#> 8480  VR2AR-546131     -5.612700     56.37988             35
+#> 8481  VR2AR-546131     -5.612700     56.37988             35
+#> 8482  VR2AR-546131     -5.612700     56.37988             35
+#> 8483  VR2AR-546131     -5.612700     56.37988             35
+#> 8484  VR2AR-546131     -5.612700     56.37988             35
+#> 8485  VR2AR-546131     -5.612700     56.37988             35
+#> 8486  VR2AR-546131     -5.612700     56.37988             35
+#> 8487  VR2AR-546131     -5.612700     56.37988             35
+#> 8488  VR2AR-546131     -5.612700     56.37988             35
+#> 8489  VR2AR-546131     -5.612700     56.37988             35
+#> 8490  VR2AR-546131     -5.612700     56.37988             35
+#> 8491  VR2AR-546131     -5.612700     56.37988             35
+#> 8492  VR2AR-546131     -5.612700     56.37988             35
+#> 8493  VR2AR-546131     -5.612700     56.37988             35
+#> 8494  VR2AR-546131     -5.612700     56.37988             35
+#> 8495  VR2AR-546131     -5.612700     56.37988             35
+#> 8496  VR2AR-546131     -5.612700     56.37988             35
+#> 8497  VR2AR-546131     -5.612700     56.37988             35
+#> 8498  VR2AR-546131     -5.612700     56.37988             35
+#> 8499  VR2AR-546131     -5.612700     56.37988             35
+#> 8500  VR2AR-546131     -5.612700     56.37988             35
+#> 8501  VR2AR-546131     -5.612700     56.37988             35
+#> 8502  VR2AR-546131     -5.612700     56.37988             35
+#> 8503  VR2AR-546131     -5.612700     56.37988             35
+#> 8504  VR2AR-546131     -5.612700     56.37988             35
+#> 8505  VR2AR-546131     -5.612700     56.37988             35
+#> 8506  VR2AR-546131     -5.612700     56.37988             35
+#> 8507  VR2AR-546131     -5.612700     56.37988             35
+#> 8508  VR2AR-546131     -5.612700     56.37988             35
+#> 8509  VR2AR-546131     -5.612700     56.37988             35
+#> 8510  VR2AR-546131     -5.612700     56.37988             35
+#> 8511  VR2AR-546131     -5.612700     56.37988             35
+#> 8512  VR2AR-546131     -5.612700     56.37988             35
+#> 8513  VR2AR-546131     -5.612700     56.37988             35
+#> 8514  VR2AR-546131     -5.612700     56.37988             35
+#> 8515  VR2AR-546131     -5.612700     56.37988             35
+#> 8516  VR2AR-546131     -5.612700     56.37988             35
+#> 8517  VR2AR-546131     -5.612700     56.37988             35
+#> 8518  VR2AR-546131     -5.612700     56.37988             35
+#> 8519  VR2AR-546131     -5.612700     56.37988             35
+#> 8520  VR2AR-546131     -5.612700     56.37988             35
+#> 8521  VR2AR-546131     -5.612700     56.37988             35
+#> 8522  VR2AR-546131     -5.612700     56.37988             35
+#> 8523  VR2AR-546131     -5.612700     56.37988             35
+#> 8524  VR2AR-546131     -5.612700     56.37988             35
+#> 8525  VR2AR-546131     -5.612700     56.37988             35
+#> 8526  VR2AR-546131     -5.612700     56.37988             35
+#> 8527  VR2AR-546131     -5.612700     56.37988             35
+#> 8528  VR2AR-546131     -5.612700     56.37988             35
+#> 8529  VR2AR-546131     -5.612700     56.37988             35
+#> 8530  VR2AR-546131     -5.612700     56.37988             35
+#> 8531  VR2AR-546131     -5.612700     56.37988             35
+#> 8532  VR2AR-546131     -5.612700     56.37988             35
+#> 8533  VR2AR-546131     -5.612700     56.37988             35
+#> 8534  VR2AR-546131     -5.612700     56.37988             35
+#> 8535  VR2AR-546131     -5.612700     56.37988             35
+#> 8536  VR2AR-546131     -5.612700     56.37988             35
+#> 8537  VR2AR-546131     -5.612700     56.37988             35
+#> 8538  VR2AR-546131     -5.612700     56.37988             35
+#> 8539  VR2AR-546131     -5.612700     56.37988             35
+#> 8540  VR2AR-546131     -5.612700     56.37988             35
+#> 8541  VR2AR-546131     -5.612700     56.37988             35
+#> 8542  VR2AR-546131     -5.612700     56.37988             35
+#> 8543  VR2AR-546131     -5.612700     56.37988             35
+#> 8544  VR2AR-546131     -5.612700     56.37988             35
+#> 8545  VR2AR-546131     -5.612700     56.37988             35
+#> 8546  VR2AR-546131     -5.612700     56.37988             35
+#> 8547  VR2AR-546131     -5.612700     56.37988             35
+#> 8548  VR2AR-546131     -5.612700     56.37988             35
+#> 8549  VR2AR-546131     -5.612700     56.37988             35
+#> 8550  VR2AR-546131     -5.612700     56.37988             35
+#> 8551  VR2AR-546131     -5.612700     56.37988             35
+#> 8552  VR2AR-546131     -5.612700     56.37988             35
+#> 8553  VR2AR-546131     -5.612700     56.37988             35
+#> 8554  VR2AR-546131     -5.612700     56.37988             35
+#> 8555  VR2AR-546131     -5.612700     56.37988             35
+#> 8556  VR2AR-546131     -5.612700     56.37988             35
+#> 8557  VR2AR-546131     -5.612700     56.37988             35
+#> 8558  VR2AR-546131     -5.612700     56.37988             35
+#> 8559  VR2AR-546131     -5.612700     56.37988             35
+#> 8560  VR2AR-546131     -5.612700     56.37988             35
+#> 8561  VR2AR-546131     -5.612700     56.37988             35
+#> 8562  VR2AR-546131     -5.612700     56.37988             35
+#> 8563  VR2AR-546131     -5.612700     56.37988             35
+#> 8564  VR2AR-546131     -5.612700     56.37988             35
+#> 8565  VR2AR-546131     -5.612700     56.37988             35
+#> 8566  VR2AR-546131     -5.612700     56.37988             35
+#> 8567  VR2AR-546131     -5.612700     56.37988             35
+#> 8568  VR2AR-546131     -5.612700     56.37988             35
+#> 8569  VR2AR-546131     -5.612700     56.37988             35
+#> 8570  VR2AR-546131     -5.612700     56.37988             35
+#> 8571  VR2AR-546131     -5.612700     56.37988             35
+#> 8572  VR2AR-546131     -5.612700     56.37988             35
+#> 8573  VR2AR-546131     -5.612700     56.37988             35
+#> 8574  VR2AR-546131     -5.612700     56.37988             35
+#> 8575  VR2AR-546131     -5.612700     56.37988             35
+#> 8576  VR2AR-546131     -5.612700     56.37988             35
+#> 8577  VR2AR-546131     -5.612700     56.37988             35
+#> 8578  VR2AR-546131     -5.612700     56.37988             35
+#> 8579  VR2AR-546131     -5.612700     56.37988             35
+#> 8580  VR2AR-546131     -5.612700     56.37988             35
+#> 8581  VR2AR-546131     -5.612700     56.37988             35
+#> 8582  VR2AR-546131     -5.612700     56.37988             35
+#> 8583  VR2AR-546131     -5.612700     56.37988             35
+#> 8584  VR2AR-546131     -5.612700     56.37988             35
+#> 8585  VR2AR-546131     -5.612700     56.37988             35
+#> 8586  VR2AR-546131     -5.612700     56.37988             35
+#> 8587  VR2AR-546131     -5.612700     56.37988             35
+#> 8588  VR2AR-546131     -5.612700     56.37988             35
+#> 8589  VR2AR-546131     -5.612700     56.37988             35
+#> 8590  VR2AR-546131     -5.612700     56.37988             35
+#> 8591  VR2AR-546131     -5.612700     56.37988             35
+#> 8592  VR2AR-546131     -5.612700     56.37988             35
+#> 8593  VR2AR-546136     -5.626250     56.44810             75
+#> 8594  VR2AR-546136     -5.626250     56.44810             75
+#> 8595  VR2AR-546136     -5.626250     56.44810             75
+#> 8596  VR2AR-546136     -5.626250     56.44810             75
+#> 8597  VR2AR-546136     -5.626250     56.44810             75
+#> 8598  VR2AR-546136     -5.626250     56.44810             75
+#> 8599      VR2-5637     -5.692417     56.49913             25
+#> 8600      VR2-5637     -5.692417     56.49913             25
+#> 8601      VR2-5637     -5.692417     56.49913             25
+#> 8602      VR2-5637     -5.692417     56.49913             25
+#> 8603      VR2-5637     -5.692417     56.49913             25
+#> 8604      VR2-5637     -5.692417     56.49913             25
+#> 8605      VR2-5637     -5.692417     56.49913             25
+#> 8606      VR2-5637     -5.692417     56.49913             25
+#> 8607      VR2-5637     -5.692417     56.49913             25
+#> 8608      VR2-5637     -5.692417     56.49913             25
+#> 8609      VR2-5637     -5.692417     56.49913             25
+#> 8610      VR2-5637     -5.692417     56.49913             25
+#> 8611      VR2-5637     -5.692417     56.49913             25
+#> 8612      VR2-5637     -5.692417     56.49913             25
+#> 8613      VR2-5637     -5.692417     56.49913             25
+#> 8614      VR2-5637     -5.692417     56.49913             25
+#> 8615      VR2-5637     -5.692417     56.49913             25
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+#> 8617  VR2AR-546133     -5.701717     56.49747             90
+#> 8618  VR2AR-546133     -5.701717     56.49747             90
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+#> 8621  VR2AR-546133     -5.701717     56.49747             90
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+#> 8624      VR2-5637     -5.692417     56.49913             25
+#> 8625      VR2-5637     -5.692417     56.49913             25
+#> 8626      VR2-5637     -5.692417     56.49913             25
+#> 8627      VR2-5637     -5.692417     56.49913             25
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+#> 8635      VR2-5637     -5.692417     56.49913             25
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+#> 8642      VR2-5637     -5.692417     56.49913             25
+#> 8643      VR2-5637     -5.692417     56.49913             25
+#> 8644      VR2-5637     -5.692417     56.49913             25
+#> 8645      VR2-5637     -5.692417     56.49913             25
+#> 8646      VR2-5637     -5.692417     56.49913             25
+#> 8647      VR2-5637     -5.692417     56.49913             25
+#> 8648      VR2-5637     -5.692417     56.49913             25
+#> 8649      VR2-5637     -5.692417     56.49913             25
+#> 8650      VR2-5637     -5.692417     56.49913             25
+#> 8651      VR2-5637     -5.692417     56.49913             25
+#> 8652      VR2-5637     -5.692417     56.49913             25
+#> 8653      VR2-5637     -5.692417     56.49913             25
+#> 8654      VR2-5637     -5.692417     56.49913             25
+#> 8655      VR2-5637     -5.692417     56.49913             25
+#> 8656      VR2-5637     -5.692417     56.49913             25
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+#> 8687  VR2AR-546133     -5.701717     56.49747             90
+#> 8688  VR2AR-546133     -5.701717     56.49747             90
+#> 8689  VR2AR-546133     -5.701717     56.49747             90
+#> 8690  VR2AR-546133     -5.701717     56.49747             90
+#> 8691  VR2AR-546133     -5.701717     56.49747             90
+#> 8692  VR2AR-546133     -5.701717     56.49747             90
+#> 8693  VR2AR-546136     -5.626250     56.44810             75
+#> 8694  VR2AR-546136     -5.626250     56.44810             75
+#> 8695  VR2AR-546380     -5.637917     56.44800             25
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+#> 8697  VR2AR-546380     -5.637917     56.44800             25
+#> 8698  VR2AR-546380     -5.637917     56.44800             25
+#> 8699  VR2AR-546136     -5.626250     56.44810             75
+#> 8700  VR2AR-546380     -5.637917     56.44800             25
+#> 8701  VR2AR-546380     -5.637917     56.44800             25
+#> 8702  VR2AR-546380     -5.637917     56.44800             25
+#> 8703  VR2AR-546380     -5.637917     56.44800             25
+#> 8704  VR2AR-546380     -5.637917     56.44800             25
+#> 8705  VR2AR-546380     -5.637917     56.44800             25
+#> 8706  VR2AR-546380     -5.637917     56.44800             25
+#> 8707  VR2AR-546380     -5.637917     56.44800             25
+#> 8708  VR2AR-546380     -5.637917     56.44800             25
+#> 8709  VR2AR-546380     -5.637917     56.44800             25
+#> 8710  VR2AR-546380     -5.637917     56.44800             25
+#> 8711  VR2AR-546380     -5.637917     56.44800             25
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+#> 8713  VR2AR-546380     -5.637917     56.44800             25
+#> 8714  VR2AR-546380     -5.637917     56.44800             25
+#> 8715  VR2AR-546380     -5.637917     56.44800             25
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+#> 8717  VR2AR-546380     -5.637917     56.44800             25
+#> 8718  VR2AR-546380     -5.637917     56.44800             25
+#> 8719  VR2AR-546380     -5.637917     56.44800             25
+#> 8720  VR2AR-546380     -5.637917     56.44800             25
+#> 8721  VR2AR-546380     -5.637917     56.44800             25
+#> 8722  VR2AR-546380     -5.637917     56.44800             25
+#> 8723  VR2AR-546380     -5.637917     56.44800             25
+#> 8724  VR2AR-546380     -5.637917     56.44800             25
+#> 8725  VR2AR-546380     -5.637917     56.44800             25
+#> 8726  VR2AR-546380     -5.637917     56.44800             25
+#> 8727  VR2AR-546380     -5.637917     56.44800             25
+#> 8728  VR2AR-546380     -5.637917     56.44800             25
+#> 8729  VR2AR-546380     -5.637917     56.44800             25
+#> 8730  VR2AR-546380     -5.637917     56.44800             25
+#> 8731  VR2AR-546131     -5.612700     56.37988             35
+#> 8732  VR2AR-546131     -5.612700     56.37988             35
+#> 8733  VR2AR-546131     -5.612700     56.37988             35
+#> 8734  VR2AR-546131     -5.612700     56.37988             35
+#> 8735  VR2AR-546131     -5.612700     56.37988             35
+#> 8736  VR2AR-546131     -5.612700     56.37988             35
+#> 8737  VR2AR-546131     -5.612700     56.37988             35
+#> 8738  VR2AR-546131     -5.612700     56.37988             35
+#> 8739  VR2AR-546131     -5.612700     56.37988             35
+#> 8740  VR2AR-546131     -5.612700     56.37988             35
+#> 8741  VR2AR-546131     -5.612700     56.37988             35
+#> 8742  VR2AR-546131     -5.612700     56.37988             35
+#> 8743  VR2AR-546131     -5.612700     56.37988             35
+#> 8744  VR2AR-546131     -5.612700     56.37988             35
+#> 8745  VR2AR-546131     -5.612700     56.37988             35
+#> 8746  VR2AR-546131     -5.612700     56.37988             35
+#> 8747  VR2AR-546131     -5.612700     56.37988             35
+#> 8748  VR2AR-546131     -5.612700     56.37988             35
+#> 8749  VR2AR-546131     -5.612700     56.37988             35
+#> 8750  VR2AR-546131     -5.612700     56.37988             35
+#> 8751  VR2AR-546131     -5.612700     56.37988             35
+#> 8752  VR2AR-546131     -5.612700     56.37988             35
+#> 8753  VR2AR-546131     -5.612700     56.37988             35
+#> 8754  VR2AR-546131     -5.612700     56.37988             35
+#> 8755  VR2AR-546131     -5.612700     56.37988             35
+#> 8756  VR2AR-546131     -5.612700     56.37988             35
+#> 8757  VR2AR-546131     -5.612700     56.37988             35
+#> 8758  VR2AR-546131     -5.612700     56.37988             35
+#> 8759  VR2AR-546131     -5.612700     56.37988             35
+#> 8760  VR2AR-546131     -5.612700     56.37988             35
+#> 8761  VR2AR-546131     -5.612700     56.37988             35
+#> 8762  VR2AR-546131     -5.612700     56.37988             35
+#> 8763  VR2AR-546131     -5.612700     56.37988             35
+#> 8764  VR2AR-546131     -5.612700     56.37988             35
+#> 8765  VR2AR-546131     -5.612700     56.37988             35
+#> 8766  VR2AR-546131     -5.612700     56.37988             35
+#> 8767  VR2AR-546131     -5.612700     56.37988             35
+#> 8768  VR2AR-546131     -5.612700     56.37988             35
+#> 8769  VR2AR-546131     -5.612700     56.37988             35
+#> 8770  VR2AR-546131     -5.612700     56.37988             35
+#> 8771  VR2AR-546131     -5.612700     56.37988             35
+#> 8772  VR2AR-546131     -5.612700     56.37988             35
+#> 8773  VR2AR-546131     -5.612700     56.37988             35
+#> 8774  VR2AR-546131     -5.612700     56.37988             35
+#> 8775  VR2AR-546131     -5.612700     56.37988             35
+#> 8776  VR2AR-546131     -5.612700     56.37988             35
+#> 8777  VR2AR-546131     -5.612700     56.37988             35
+#> 8778  VR2AR-546131     -5.612700     56.37988             35
+#> 8779  VR2AR-546131     -5.612700     56.37988             35
+#> 8780  VR2AR-546131     -5.612700     56.37988             35
+#> 8781  VR2AR-546131     -5.612700     56.37988             35
+#> 8782  VR2AR-546131     -5.612700     56.37988             35
+#> 8783  VR2AR-546131     -5.612700     56.37988             35
+#> 8784  VR2AR-546131     -5.612700     56.37988             35
+#> 8785  VR2AR-546131     -5.612700     56.37988             35
+#> 8786  VR2AR-546131     -5.612700     56.37988             35
+#> 8787  VR2AR-546131     -5.612700     56.37988             35
+#> 8788  VR2AR-546131     -5.612700     56.37988             35
+#> 8789  VR2AR-546131     -5.612700     56.37988             35
+#> 8790  VR2AR-546131     -5.612700     56.37988             35
+#> 8791  VR2AR-546131     -5.612700     56.37988             35
+#> 8792  VR2AR-546131     -5.612700     56.37988             35
+#> 8793  VR2AR-546131     -5.612700     56.37988             35
+#> 8794  VR2AR-546131     -5.612700     56.37988             35
+#> 8795  VR2AR-546131     -5.612700     56.37988             35
+#> 8796  VR2AR-546131     -5.612700     56.37988             35
+#> 8797  VR2AR-546131     -5.612700     56.37988             35
+#> 8798  VR2AR-546131     -5.612700     56.37988             35
+#> 8799  VR2AR-546131     -5.612700     56.37988             35
+#> 8800  VR2AR-546131     -5.612700     56.37988             35
+#> 8801  VR2AR-546131     -5.612700     56.37988             35
+#> 8802  VR2AR-546131     -5.612700     56.37988             35
+#> 8803  VR2AR-546131     -5.612700     56.37988             35
+#> 8804  VR2AR-546131     -5.612700     56.37988             35
+#> 8805  VR2AR-546131     -5.612700     56.37988             35
+#> 8806  VR2AR-546131     -5.612700     56.37988             35
+#> 8807  VR2AR-546131     -5.612700     56.37988             35
+#> 8808  VR2AR-546131     -5.612700     56.37988             35
+#> 8809  VR2AR-546131     -5.612700     56.37988             35
+#> 8810  VR2AR-546131     -5.612700     56.37988             35
+#> 8811  VR2AR-546131     -5.612700     56.37988             35
+#> 8812  VR2AR-546131     -5.612700     56.37988             35
+#> 8813  VR2AR-546131     -5.612700     56.37988             35
+#> 8814  VR2AR-546131     -5.612700     56.37988             35
+#> 8815  VR2AR-546131     -5.612700     56.37988             35
+#> 8816  VR2AR-546131     -5.612700     56.37988             35
+#> 8817  VR2AR-546131     -5.612700     56.37988             35
+#> 8818  VR2AR-546131     -5.612700     56.37988             35
+#> 8819  VR2AR-546131     -5.612700     56.37988             35
+#> 8820  VR2AR-546131     -5.612700     56.37988             35
+#> 8821  VR2AR-546131     -5.612700     56.37988             35
+#> 8822  VR2AR-546131     -5.612700     56.37988             35
+#> 8823  VR2AR-546131     -5.612700     56.37988             35
+#> 8824  VR2AR-546131     -5.612700     56.37988             35
+#> 8825  VR2AR-546131     -5.612700     56.37988             35
+#> 8826  VR2AR-546131     -5.612700     56.37988             35
+#> 8827  VR2AR-546131     -5.612700     56.37988             35
+#> 8828  VR2AR-546131     -5.612700     56.37988             35
+#> 8829  VR2AR-546131     -5.612700     56.37988             35
+#> 8830  VR2AR-546131     -5.612700     56.37988             35
+#> 8831  VR2AR-546131     -5.612700     56.37988             35
+#> 8832  VR2AR-546131     -5.612700     56.37988             35
+#> 8833  VR2AR-546131     -5.612700     56.37988             35
+#> 8834  VR2AR-546131     -5.612700     56.37988             35
+#> 8835  VR2AR-546131     -5.612700     56.37988             35
+#> 8836  VR2AR-546131     -5.612700     56.37988             35
+#> 8837  VR2AR-546131     -5.612700     56.37988             35
+#> 8838  VR2AR-546131     -5.612700     56.37988             35
+#> 8839  VR2AR-546131     -5.612700     56.37988             35
+#> 8840  VR2AR-546131     -5.612700     56.37988             35
+#> 8841  VR2AR-546131     -5.612700     56.37988             35
+#> 8842  VR2AR-546131     -5.612700     56.37988             35
+#> 8843  VR2AR-546131     -5.612700     56.37988             35
+#> 8844  VR2AR-546131     -5.612700     56.37988             35
+#> 8845  VR2AR-546131     -5.612700     56.37988             35
+#> 8846  VR2AR-546131     -5.612700     56.37988             35
+#> 8847  VR2AR-546131     -5.612700     56.37988             35
+#> 8848  VR2AR-546131     -5.612700     56.37988             35
+#> 8849  VR2AR-546131     -5.612700     56.37988             35
+#> 8850  VR2AR-546131     -5.612700     56.37988             35
+#> 8851  VR2AR-546131     -5.612700     56.37988             35
+#> 8852  VR2AR-546131     -5.612700     56.37988             35
+#> 8853  VR2AR-546131     -5.612700     56.37988             35
+#> 8854  VR2AR-546131     -5.612700     56.37988             35
+#> 8855  VR2AR-546131     -5.612700     56.37988             35
+#> 8856  VR2AR-546131     -5.612700     56.37988             35
+#> 8857  VR2AR-546131     -5.612700     56.37988             35
+#> 8858  VR2AR-546131     -5.612700     56.37988             35
+#> 8859  VR2AR-546131     -5.612700     56.37988             35
+#> 8860  VR2AR-546131     -5.612700     56.37988             35
+#> 8861  VR2AR-546131     -5.612700     56.37988             35
+#> 8862  VR2AR-546131     -5.612700     56.37988             35
+#> 8863  VR2AR-546131     -5.612700     56.37988             35
+#> 8864  VR2AR-546131     -5.612700     56.37988             35
+#> 8865  VR2AR-546131     -5.612700     56.37988             35
+#> 8866  VR2AR-546131     -5.612700     56.37988             35
+#> 8867  VR2AR-546131     -5.612700     56.37988             35
+#> 8868  VR2AR-546131     -5.612700     56.37988             35
+#> 8869  VR2AR-546131     -5.612700     56.37988             35
+#> 8870  VR2AR-546131     -5.612700     56.37988             35
+#> 8871  VR2AR-546131     -5.612700     56.37988             35
+#> 8872  VR2AR-546131     -5.612700     56.37988             35
+#> 8873  VR2AR-546131     -5.612700     56.37988             35
+#> 8874  VR2AR-546131     -5.612700     56.37988             35
+#> 8875  VR2AR-546131     -5.612700     56.37988             35
+#> 8876  VR2AR-546131     -5.612700     56.37988             35
+#> 8877  VR2AR-546131     -5.612700     56.37988             35
+#> 8878  VR2AR-546131     -5.612700     56.37988             35
+#> 8879  VR2AR-546131     -5.612700     56.37988             35
+#> 8880  VR2AR-546131     -5.612700     56.37988             35
+#> 8881  VR2AR-546131     -5.612700     56.37988             35
+#> 8882  VR2AR-546131     -5.612700     56.37988             35
+#> 8883  VR2AR-546131     -5.612700     56.37988             35
+#> 8884  VR2AR-546131     -5.612700     56.37988             35
+#> 8885  VR2AR-546131     -5.612700     56.37988             35
+#> 8886  VR2AR-546131     -5.612700     56.37988             35
+#> 8887  VR2AR-546131     -5.612700     56.37988             35
+#> 8888  VR2AR-546131     -5.612700     56.37988             35
+#> 8889  VR2AR-546131     -5.612700     56.37988             35
+#> 8890  VR2AR-546131     -5.612700     56.37988             35
+#> 8891  VR2AR-546131     -5.612700     56.37988             35
+#> 8892  VR2AR-546131     -5.612700     56.37988             35
+#> 8893  VR2AR-546131     -5.612700     56.37988             35
+#> 8894  VR2AR-546131     -5.612700     56.37988             35
+#> 8895  VR2AR-546131     -5.612700     56.37988             35
+#> 8896  VR2AR-546131     -5.612700     56.37988             35
+#> 8897  VR2AR-546131     -5.612700     56.37988             35
+#> 8898  VR2AR-546131     -5.612700     56.37988             35
+#> 8899  VR2AR-546131     -5.612700     56.37988             35
+#> 8900  VR2AR-546131     -5.612700     56.37988             35
+#> 8901  VR2AR-546131     -5.612700     56.37988             35
+#> 8902  VR2AR-546131     -5.612700     56.37988             35
+#> 8903  VR2AR-546131     -5.612700     56.37988             35
+#> 8904  VR2AR-546131     -5.612700     56.37988             35
+#> 8905  VR2AR-546131     -5.612700     56.37988             35
+#> 8906  VR2AR-546131     -5.612700     56.37988             35
+#> 8907  VR2AR-546131     -5.612700     56.37988             35
+#> 8908  VR2AR-546131     -5.612700     56.37988             35
+#> 8909  VR2AR-546131     -5.612700     56.37988             35
+#> 8910  VR2AR-546131     -5.612700     56.37988             35
+#> 8911  VR2AR-546131     -5.612700     56.37988             35
+#> 8912  VR2AR-546131     -5.612700     56.37988             35
+#> 8913  VR2AR-546131     -5.612700     56.37988             35
+#> 8914  VR2AR-546131     -5.612700     56.37988             35
+#> 8915  VR2AR-546131     -5.612700     56.37988             35
+#> 8916  VR2AR-546131     -5.612700     56.37988             35
+#> 8917  VR2AR-546131     -5.612700     56.37988             35
+#> 8918  VR2AR-546131     -5.612700     56.37988             35
+#> 8919  VR2AR-546131     -5.612700     56.37988             35
+#> 8920  VR2AR-546131     -5.612700     56.37988             35
+#> 8921  VR2AR-546131     -5.612700     56.37988             35
+#> 8922  VR2AR-546131     -5.612700     56.37988             35
+#> 8923  VR2AR-546131     -5.612700     56.37988             35
+#> 8924  VR2AR-546131     -5.612700     56.37988             35
+#> 8925  VR2AR-546131     -5.612700     56.37988             35
+#> 8926  VR2AR-546131     -5.612700     56.37988             35
+#> 8927  VR2AR-546131     -5.612700     56.37988             35
+#> 8928  VR2AR-546131     -5.612700     56.37988             35
+#> 8929  VR2AR-546131     -5.612700     56.37988             35
+#> 8930  VR2AR-546131     -5.612700     56.37988             35
+#> 8931  VR2AR-546131     -5.612700     56.37988             35
+#> 8932  VR2AR-546131     -5.612700     56.37988             35
+#> 8933  VR2AR-546131     -5.612700     56.37988             35
+#> 8934  VR2AR-546131     -5.612700     56.37988             35
+#> 8935  VR2AR-546131     -5.612700     56.37988             35
+#> 8936  VR2AR-546131     -5.612700     56.37988             35
+#> 8937  VR2AR-546131     -5.612700     56.37988             35
+#> 8938  VR2AR-546131     -5.612700     56.37988             35
+#> 8939  VR2AR-546131     -5.612700     56.37988             35
+#> 8940  VR2AR-546131     -5.612700     56.37988             35
+#> 8941  VR2AR-546131     -5.612700     56.37988             35
+#> 8942  VR2AR-546131     -5.612700     56.37988             35
+#> 8943  VR2AR-546131     -5.612700     56.37988             35
+#> 8944  VR2AR-546131     -5.612700     56.37988             35
+#> 8945  VR2AR-546131     -5.612700     56.37988             35
+#> 8946  VR2AR-546131     -5.612700     56.37988             35
+#> 8947  VR2AR-546131     -5.612700     56.37988             35
+#> 8948  VR2AR-546131     -5.612700     56.37988             35
+#> 8949  VR2AR-546131     -5.612700     56.37988             35
+#> 8950  VR2AR-546131     -5.612700     56.37988             35
+#> 8951  VR2AR-546131     -5.612700     56.37988             35
+#> 8952  VR2AR-546131     -5.612700     56.37988             35
+#> 8953  VR2AR-546131     -5.612700     56.37988             35
+#> 8954  VR2AR-546131     -5.612700     56.37988             35
+#> 8955  VR2AR-546131     -5.612700     56.37988             35
+#> 8956  VR2AR-546131     -5.612700     56.37988             35
+#> 8957  VR2AR-546135     -5.657067     56.38803             85
+#> 8958  VR2AR-546135     -5.657067     56.38803             85
+#> 8959  VR2AR-546135     -5.657067     56.38803             85
+#> 8960  VR2AR-546135     -5.657067     56.38803             85
+#> 8961  VR2AR-546135     -5.657067     56.38803             85
+#> 8962  VR2AR-546135     -5.657067     56.38803             85
+#> 8963  VR2AR-546135     -5.657067     56.38803             85
+#> 8964  VR2AR-546135     -5.657067     56.38803             85
+#> 8965  VR2AR-546135     -5.657067     56.38803             85
+#> 8966  VR2AR-546135     -5.657067     56.38803             85
+#> 8967  VR2AR-546135     -5.657067     56.38803             85
+#> 8968  VR2AR-546135     -5.657067     56.38803             85
+#> 8969  VR2AR-546135     -5.657067     56.38803             85
+#> 8970  VR2AR-546135     -5.657067     56.38803             85
+#> 8971  VR2AR-546135     -5.657067     56.38803             85
+#> 8972  VR2AR-546135     -5.657067     56.38803             85
+#> 8973  VR2AR-546135     -5.657067     56.38803             85
+#> 8974  VR2AR-546135     -5.657067     56.38803             85
+#> 8975  VR2AR-546135     -5.657067     56.38803             85
+#> 8976  VR2AR-546135     -5.657067     56.38803             85
+#> 8977  VR2AR-546135     -5.657067     56.38803             85
+#> 8978  VR2AR-546135     -5.657067     56.38803             85
+#> 8979  VR2AR-546135     -5.657067     56.38803             85
+#> 8980  VR2AR-546135     -5.657067     56.38803             85
+#> 8981  VR2AR-546135     -5.657067     56.38803             85
+#> 8982  VR2AR-546135     -5.657067     56.38803             85
+#> 8983  VR2AR-546135     -5.657067     56.38803             85
+#> 8984  VR2AR-546134     -5.643867     56.38278            145
+#> 8985  VR2AR-546134     -5.643867     56.38278            145
+#> 8986  VR2AR-546134     -5.643867     56.38278            145
+#> 8987  VR2AR-546134     -5.643867     56.38278            145
+#> 8988  VR2AR-546134     -5.643867     56.38278            145
+#> 8989  VR2AR-546134     -5.643867     56.38278            145
+#> 8990  VR2AR-546134     -5.643867     56.38278            145
+#> 8991  VR2AR-546134     -5.643867     56.38278            145
+#> 8992  VR2AR-546134     -5.643867     56.38278            145
+#> 8993  VR2AR-546134     -5.643867     56.38278            145
+#> 8994  VR2AR-546134     -5.643867     56.38278            145
+#> 8995  VR2AR-546135     -5.657067     56.38803             85
+#> 8996  VR2AR-546135     -5.657067     56.38803             85
+#> 8997  VR2AR-546135     -5.657067     56.38803             85
+#> 8998  VR2AR-546135     -5.657067     56.38803             85
+#> 8999  VR2AR-546135     -5.657067     56.38803             85
+#> 9000  VR2AR-546135     -5.657067     56.38803             85
+#> 9001  VR2AR-546135     -5.657067     56.38803             85
+#> 9002  VR2AR-546135     -5.657067     56.38803             85
+#> 9003  VR2AR-546135     -5.657067     56.38803             85
+#> 9004  VR2AR-546135     -5.657067     56.38803             85
+#> 9005  VR2AR-546135     -5.657067     56.38803             85
+#> 9006  VR2AR-546135     -5.657067     56.38803             85
+#> 9007  VR2AR-546135     -5.657067     56.38803             85
+#> 9008  VR2AR-546135     -5.657067     56.38803             85
+#> 9009  VR2AR-546135     -5.657067     56.38803             85
+#> 9010  VR2AR-546135     -5.657067     56.38803             85
+#> 9011  VR2AR-546135     -5.657067     56.38803             85
+#> 9012  VR2AR-546135     -5.657067     56.38803             85
+#> 9013  VR2AR-546135     -5.657067     56.38803             85
+#> 9014  VR2AR-546135     -5.657067     56.38803             85
+#> 9015  VR2AR-546135     -5.657067     56.38803             85
+#> 9016  VR2AR-546135     -5.657067     56.38803             85
+#> 9017  VR2AR-546135     -5.657067     56.38803             85
+#> 9018  VR2AR-546135     -5.657067     56.38803             85
+#> 9019  VR2AR-546135     -5.657067     56.38803             85
+#> 9020  VR2AR-546135     -5.657067     56.38803             85
+#> 9021  VR2AR-546135     -5.657067     56.38803             85
+#> 9022  VR2AR-546135     -5.657067     56.38803             85
+#> 9023  VR2AR-546135     -5.657067     56.38803             85
+#> 9024  VR2AR-546135     -5.657067     56.38803             85
+#> 9025  VR2AR-546135     -5.657067     56.38803             85
+#> 9026  VR2AR-546135     -5.657067     56.38803             85
+#> 9027  VR2AR-546135     -5.657067     56.38803             85
+#> 9028  VR2AR-546135     -5.657067     56.38803             85
+#> 9029  VR2AR-546135     -5.657067     56.38803             85
+#> 9030  VR2AR-546135     -5.657067     56.38803             85
+#> 9031  VR2AR-546135     -5.657067     56.38803             85
+#> 9032  VR2AR-546135     -5.657067     56.38803             85
+#> 9033  VR2AR-546135     -5.657067     56.38803             85
+#> 9034  VR2AR-546135     -5.657067     56.38803             85
+#> 9035  VR2AR-546135     -5.657067     56.38803             85
+#> 9036  VR2AR-546135     -5.657067     56.38803             85
+#> 9037  VR2AR-546135     -5.657067     56.38803             85
+#> 9038  VR2AR-546135     -5.657067     56.38803             85
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+#> 9040  VR2AR-546131     -5.612700     56.37988             35
+#> 9041  VR2AR-546131     -5.612700     56.37988             35
+#> 9042  VR2AR-546131     -5.612700     56.37988             35
+#> 9043  VR2AR-546131     -5.612700     56.37988             35
+#> 9044  VR2AR-546131     -5.612700     56.37988             35
+#> 9045  VR2AR-546131     -5.612700     56.37988             35
+#> 9046  VR2AR-546131     -5.612700     56.37988             35
+#> 9047  VR2AR-546131     -5.612700     56.37988             35
+#> 9048  VR2AR-546131     -5.612700     56.37988             35
+#> 9049  VR2AR-546131     -5.612700     56.37988             35
+#> 9050  VR2AR-546131     -5.612700     56.37988             35
+#> 9051  VR2AR-546131     -5.612700     56.37988             35
+#> 9052  VR2AR-546131     -5.612700     56.37988             35
+#> 9053  VR2AR-546131     -5.612700     56.37988             35
+#> 9054  VR2AR-546131     -5.612700     56.37988             35
+#> 9055  VR2AR-546131     -5.612700     56.37988             35
+#> 9056  VR2AR-546131     -5.612700     56.37988             35
+#> 9057  VR2AR-546131     -5.612700     56.37988             35
+#> 9058  VR2AR-546131     -5.612700     56.37988             35
+#> 9059  VR2AR-546131     -5.612700     56.37988             35
+#> 9060  VR2AR-546131     -5.612700     56.37988             35
+#> 9061  VR2AR-546131     -5.612700     56.37988             35
+#> 9062  VR2AR-546131     -5.612700     56.37988             35
+#> 9063  VR2AR-546131     -5.612700     56.37988             35
+#> 9064  VR2AR-546131     -5.612700     56.37988             35
+#> 9065  VR2AR-546131     -5.612700     56.37988             35
+#> 9066  VR2AR-546131     -5.612700     56.37988             35
+#> 9067  VR2AR-546131     -5.612700     56.37988             35
+#> 9068  VR2AR-546131     -5.612700     56.37988             35
+#> 9069  VR2AR-546131     -5.612700     56.37988             35
+#> 9070  VR2AR-546131     -5.612700     56.37988             35
+#> 9071  VR2AR-546131     -5.612700     56.37988             35
+#> 9072  VR2AR-546131     -5.612700     56.37988             35
+#> 9073  VR2AR-546131     -5.612700     56.37988             35
+#> 9074  VR2AR-546131     -5.612700     56.37988             35
+#> 9075  VR2AR-546131     -5.612700     56.37988             35
+#> 9076  VR2AR-546131     -5.612700     56.37988             35
+#> 9077  VR2AR-546131     -5.612700     56.37988             35
+#> 9078  VR2AR-546131     -5.612700     56.37988             35
+#> 9079  VR2AR-546131     -5.612700     56.37988             35
+#> 9080  VR2AR-546131     -5.612700     56.37988             35
+#> 9081  VR2AR-546131     -5.612700     56.37988             35
+#> 9082  VR2AR-546131     -5.612700     56.37988             35
+#> 9083  VR2AR-546131     -5.612700     56.37988             35
+#> 9084  VR2AR-546131     -5.612700     56.37988             35
+#> 9085  VR2AR-546131     -5.612700     56.37988             35
+#> 9086  VR2AR-546131     -5.612700     56.37988             35
+#> 9087  VR2AR-546131     -5.612700     56.37988             35
+#> 9088  VR2AR-546131     -5.612700     56.37988             35
+#> 9089  VR2AR-546131     -5.612700     56.37988             35
+#> 9090  VR2AR-546131     -5.612700     56.37988             35
+#> 9091  VR2AR-546131     -5.612700     56.37988             35
+#> 9092  VR2AR-546131     -5.612700     56.37988             35
+#> 9093  VR2AR-546131     -5.612700     56.37988             35
+#> 9094  VR2AR-546131     -5.612700     56.37988             35
+#> 9095  VR2AR-546131     -5.612700     56.37988             35
+#> 9096  VR2AR-546131     -5.612700     56.37988             35
+#> 9097  VR2AR-546131     -5.612700     56.37988             35
+#> 9098  VR2AR-546131     -5.612700     56.37988             35
+#> 9099  VR2AR-546131     -5.612700     56.37988             35
+#> 9100  VR2AR-546131     -5.612700     56.37988             35
+#> 9101  VR2AR-546131     -5.612700     56.37988             35
+#> 9102  VR2AR-546131     -5.612700     56.37988             35
+#> 9103  VR2AR-546131     -5.612700     56.37988             35
+#> 9104  VR2AR-546131     -5.612700     56.37988             35
+#> 9105  VR2AR-546131     -5.612700     56.37988             35
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+#> 9107  VR2AR-546131     -5.612700     56.37988             35
+#> 9108  VR2AR-546131     -5.612700     56.37988             35
+#> 9109  VR2AR-546131     -5.612700     56.37988             35
+#> 9110  VR2AR-546131     -5.612700     56.37988             35
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+#> 9120  VR2AR-546131     -5.612700     56.37988             35
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+#> 9124  VR2AR-546131     -5.612700     56.37988             35
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+#> 9126  VR2AR-546131     -5.612700     56.37988             35
+#> 9127  VR2AR-546131     -5.612700     56.37988             35
+#> 9128  VR2AR-546131     -5.612700     56.37988             35
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+#> 9132  VR2AR-546131     -5.612700     56.37988             35
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+#> 9135  VR2AR-546131     -5.612700     56.37988             35
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+#> 9139  VR2AR-546131     -5.612700     56.37988             35
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+#> 9320      VR2-5637     -5.692417     56.49913             25
+#> 9321      VR2-5637     -5.692417     56.49913             25
+#> 9322      VR2-5637     -5.692417     56.49913             25
+#> 9323      VR2-5637     -5.692417     56.49913             25
+#> 9324      VR2-5637     -5.692417     56.49913             25
+#> 9325      VR2-5637     -5.692417     56.49913             25
+#> 9326      VR2-5637     -5.692417     56.49913             25
+#> 9327      VR2-5637     -5.692417     56.49913             25
+#> 9328      VR2-5637     -5.692417     56.49913             25
+#> 9329      VR2-5637     -5.692417     56.49913             25
+#> 9330      VR2-5637     -5.692417     56.49913             25
+#> 9331      VR2-5637     -5.692417     56.49913             25
+#> 9332      VR2-5637     -5.692417     56.49913             25
+#> 9333      VR2-5637     -5.692417     56.49913             25
+#> 9334      VR2-5637     -5.692417     56.49913             25
+#> 9335      VR2-5637     -5.692417     56.49913             25
+#> 9336      VR2-5637     -5.692417     56.49913             25
+#> 9337  VR2AR-546133     -5.701717     56.49747             90
+#> 9338      VR2-5637     -5.692417     56.49913             25
+#> 9339  VR2AR-546133     -5.701717     56.49747             90
+#> 9340  VR2AR-546133     -5.701717     56.49747             90
+#> 9341      VR2-5637     -5.692417     56.49913             25
+#> 9342      VR2-5637     -5.692417     56.49913             25
+#> 9343      VR2-5637     -5.692417     56.49913             25
+#> 9344  VR2AR-546133     -5.701717     56.49747             90
+#> 9345  VR2AR-546133     -5.701717     56.49747             90
+#> 9346      VR2-5637     -5.692417     56.49913             25
+#> 9347  VR2AR-546133     -5.701717     56.49747             90
+#> 9348      VR2-5637     -5.692417     56.49913             25
+#> 9349  VR2AR-546133     -5.701717     56.49747             90
+#> 9350  VR2AR-546133     -5.701717     56.49747             90
+#> 9351      VR2-5637     -5.692417     56.49913             25
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+#> 9353  VR2AR-546133     -5.701717     56.49747             90
+#> 9354  VR2AR-546133     -5.701717     56.49747             90
+#> 9355      VR2-5637     -5.692417     56.49913             25
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+#> 9357  VR2AR-546133     -5.701717     56.49747             90
+#> 9358  VR2AR-546133     -5.701717     56.49747             90
+#> 9359  VR2AR-546133     -5.701717     56.49747             90
+#> 9360  VR2AR-546133     -5.701717     56.49747             90
+#> 9361  VR2AR-546133     -5.701717     56.49747             90
+#> 9362  VR2AR-546133     -5.701717     56.49747             90
+#> 9363  VR2AR-546133     -5.701717     56.49747             90
+#> 9364  VR2AR-546133     -5.701717     56.49747             90
+#> 9365  VR2AR-546133     -5.701717     56.49747             90
+#> 9366  VR2AR-546133     -5.701717     56.49747             90
+#> 9367  VR2AR-546133     -5.701717     56.49747             90
+#> 9368  VR2AR-546133     -5.701717     56.49747             90
+#> 9369  VR2AR-546380     -5.637917     56.44800             25
+#> 9370  VR2AR-546380     -5.637917     56.44800             25
+#> 9371  VR2AR-546380     -5.637917     56.44800             25
+#> 9372  VR2AR-546380     -5.637917     56.44800             25
+#> 9373  VR2AR-546380     -5.637917     56.44800             25
+#> 9374  VR2AR-546380     -5.637917     56.44800             25
+#> 9375  VR2AR-546380     -5.637917     56.44800             25
+#> 9376  VR2AR-546380     -5.637917     56.44800             25
+#> 9377  VR2AR-546136     -5.626250     56.44810             75
+#> 9378  VR2AR-546136     -5.626250     56.44810             75
+#> 9379  VR2AR-546131     -5.612700     56.37988             35
+#> 9380  VR2AR-546131     -5.612700     56.37988             35
+#> 9381  VR2AR-546131     -5.612700     56.37988             35
+#> 9382  VR2AR-546131     -5.612700     56.37988             35
+#> 9383  VR2AR-546131     -5.612700     56.37988             35
+#> 9384  VR2AR-546131     -5.612700     56.37988             35
+#> 9385  VR2AR-546131     -5.612700     56.37988             35
+#> 9386  VR2AR-546131     -5.612700     56.37988             35
+#> 9387  VR2AR-546131     -5.612700     56.37988             35
+#> 9388  VR2AR-546131     -5.612700     56.37988             35
+#> 9389  VR2AR-546131     -5.612700     56.37988             35
+#> 9390  VR2AR-546584     -5.604973     56.37774             30
+#> 9391  VR2AR-546131     -5.612700     56.37988             35
+#> 9392  VR2AR-546131     -5.612700     56.37988             35
+#> 9393  VR2AR-546131     -5.612700     56.37988             35
+#> 9394  VR2AR-546131     -5.612700     56.37988             35
+#> 9395  VR2AR-546584     -5.604973     56.37774             30
+#> 9396  VR2AR-546131     -5.612700     56.37988             35
+#> 9397  VR2AR-546584     -5.604973     56.37774             30
+#> 9398  VR2AR-546584     -5.604973     56.37774             30
+#> 9399  VR2AR-546131     -5.612700     56.37988             35
+#> 9400  VR2AR-546584     -5.604973     56.37774             30
+#> 9401  VR2AR-546131     -5.612700     56.37988             35
+#> 9402  VR2AR-546584     -5.604973     56.37774             30
+#> 9403  VR2AR-546584     -5.604973     56.37774             30
+#> 9404  VR2AR-546131     -5.612700     56.37988             35
+#> 9405  VR2AR-546131     -5.612700     56.37988             35
+#> 9406  VR2AR-546131     -5.612700     56.37988             35
+#> 9407  VR2AR-546131     -5.612700     56.37988             35
+#> 9408  VR2AR-546584     -5.604973     56.37774             30
+#> 9409  VR2AR-546131     -5.612700     56.37988             35
+#> 9410  VR2AR-546584     -5.604973     56.37774             30
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+#> 9412  VR2AR-546131     -5.612700     56.37988             35
+#> 9413  VR2AR-546584     -5.604973     56.37774             30
+#> 9414  VR2AR-546131     -5.612700     56.37988             35
+#> 9415  VR2AR-546131     -5.612700     56.37988             35
+#> 9416  VR2AR-546131     -5.612700     56.37988             35
+#> 9417  VR2AR-546131     -5.612700     56.37988             35
+#> 9418  VR2AR-546131     -5.612700     56.37988             35
+#> 9419  VR2AR-546131     -5.612700     56.37988             35
+#> 9420  VR2AR-546131     -5.612700     56.37988             35
+#> 9421  VR2AR-546131     -5.612700     56.37988             35
+#> 9422  VR2AR-546131     -5.612700     56.37988             35
+#> 9423  VR2AR-546131     -5.612700     56.37988             35
+#> 9424  VR2AR-546131     -5.612700     56.37988             35
+#> 9425  VR2AR-546131     -5.612700     56.37988             35
+#> 9426  VR2AR-546131     -5.612700     56.37988             35
+#> 9427  VR2AR-546131     -5.612700     56.37988             35
+#> 9428  VR2AR-546131     -5.612700     56.37988             35
+#> 9429  VR2AR-546131     -5.612700     56.37988             35
+#> 9430  VR2AR-546131     -5.612700     56.37988             35
+#> 9431  VR2AR-546131     -5.612700     56.37988             35
+#> 9432  VR2AR-546131     -5.612700     56.37988             35
+#> 9433  VR2AR-546131     -5.612700     56.37988             35
+#> 9434  VR2AR-546131     -5.612700     56.37988             35
+#> 9435  VR2AR-546131     -5.612700     56.37988             35
+#> 9436  VR2AR-546131     -5.612700     56.37988             35
+#> 9437  VR2AR-546131     -5.612700     56.37988             35
+#> 9438  VR2AR-546131     -5.612700     56.37988             35
+#> 9439  VR2AR-546131     -5.612700     56.37988             35
+#> 9440  VR2AR-546131     -5.612700     56.37988             35
+#> 9441  VR2AR-546131     -5.612700     56.37988             35
+#> 9442  VR2AR-546131     -5.612700     56.37988             35
+#> 9443  VR2AR-546131     -5.612700     56.37988             35
+#> 9444  VR2AR-546131     -5.612700     56.37988             35
+#> 9445  VR2AR-546131     -5.612700     56.37988             35
+#> 9446  VR2AR-546131     -5.612700     56.37988             35
+#> 9447  VR2AR-546131     -5.612700     56.37988             35
+#> 9448  VR2AR-546131     -5.612700     56.37988             35
+#> 9449  VR2AR-546131     -5.612700     56.37988             35
+#> 9450  VR2AR-546131     -5.612700     56.37988             35
+#> 9451  VR2AR-546131     -5.612700     56.37988             35
+#> 9452  VR2AR-546131     -5.612700     56.37988             35
+#> 9453  VR2AR-546131     -5.612700     56.37988             35
+#> 9454  VR2AR-546131     -5.612700     56.37988             35
+#> 9455  VR2AR-546131     -5.612700     56.37988             35
+#> 9456  VR2AR-546131     -5.612700     56.37988             35
+#> 9457  VR2AR-546131     -5.612700     56.37988             35
+#> 9458  VR2AR-546131     -5.612700     56.37988             35
+#> 9459  VR2AR-546131     -5.612700     56.37988             35
+#> 9460  VR2AR-546131     -5.612700     56.37988             35
+#> 9461  VR2AR-546131     -5.612700     56.37988             35
+#> 9462  VR2AR-546131     -5.612700     56.37988             35
+#> 9463  VR2AR-546131     -5.612700     56.37988             35
+#> 9464  VR2AR-546131     -5.612700     56.37988             35
+#> 9465  VR2AR-546131     -5.612700     56.37988             35
+#> 9466  VR2AR-546131     -5.612700     56.37988             35
+#> 9467  VR2AR-546131     -5.612700     56.37988             35
+#> 9468  VR2AR-546131     -5.612700     56.37988             35
+#> 9469  VR2AR-546131     -5.612700     56.37988             35
+#> 9470  VR2AR-546131     -5.612700     56.37988             35
+#> 9471  VR2AR-546131     -5.612700     56.37988             35
+#> 9472  VR2AR-546131     -5.612700     56.37988             35
+#> 9473  VR2AR-546131     -5.612700     56.37988             35
+#> 9474  VR2AR-546131     -5.612700     56.37988             35
+#> 9475  VR2AR-546131     -5.612700     56.37988             35
+#> 9476  VR2AR-546131     -5.612700     56.37988             35
+#> 9477  VR2AR-546131     -5.612700     56.37988             35
+#> 9478  VR2AR-546131     -5.612700     56.37988             35
+#> 9479  VR2AR-546131     -5.612700     56.37988             35
+#> 9480  VR2AR-546131     -5.612700     56.37988             35
+#> 9481  VR2AR-546131     -5.612700     56.37988             35
+#> 9482  VR2AR-546131     -5.612700     56.37988             35
+#> 9483  VR2AR-546131     -5.612700     56.37988             35
+#> 9484  VR2AR-546131     -5.612700     56.37988             35
+#> 9485  VR2AR-546131     -5.612700     56.37988             35
+#> 9486  VR2AR-546131     -5.612700     56.37988             35
+#> 9487  VR2AR-546131     -5.612700     56.37988             35
+#> 9488  VR2AR-546131     -5.612700     56.37988             35
+#> 9489  VR2AR-546131     -5.612700     56.37988             35
+#> 9490  VR2AR-546131     -5.612700     56.37988             35
+#> 9491  VR2AR-546131     -5.612700     56.37988             35
+#> 9492  VR2AR-546131     -5.612700     56.37988             35
+#> 9493  VR2AR-546131     -5.612700     56.37988             35
+#> 9494  VR2AR-546131     -5.612700     56.37988             35
+#> 9495  VR2AR-546131     -5.612700     56.37988             35
+#> 9496  VR2AR-546131     -5.612700     56.37988             35
+#> 9497  VR2AR-546131     -5.612700     56.37988             35
+#> 9498  VR2AR-546131     -5.612700     56.37988             35
+#> 9499  VR2AR-546131     -5.612700     56.37988             35
+#> 9500  VR2AR-546131     -5.612700     56.37988             35
+#> 9501  VR2AR-546131     -5.612700     56.37988             35
+#> 9502  VR2AR-546131     -5.612700     56.37988             35
+#> 9503  VR2AR-546131     -5.612700     56.37988             35
+#> 9504  VR2AR-546131     -5.612700     56.37988             35
+#> 9505  VR2AR-546131     -5.612700     56.37988             35
+#> 9506  VR2AR-546131     -5.612700     56.37988             35
+#> 9507  VR2AR-546131     -5.612700     56.37988             35
+#> 9508  VR2AR-546131     -5.612700     56.37988             35
+#> 9509  VR2AR-546131     -5.612700     56.37988             35
+#> 9510  VR2AR-546131     -5.612700     56.37988             35
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+#> 9513  VR2AR-546131     -5.612700     56.37988             35
+#> 9514  VR2AR-546131     -5.612700     56.37988             35
+#> 9515  VR2AR-546131     -5.612700     56.37988             35
+#> 9516  VR2AR-546131     -5.612700     56.37988             35
+#> 9517  VR2AR-546131     -5.612700     56.37988             35
+#> 9518  VR2AR-546131     -5.612700     56.37988             35
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+#> 9523  VR2AR-546131     -5.612700     56.37988             35
+#> 9524  VR2AR-546131     -5.612700     56.37988             35
+#> 9525  VR2AR-546131     -5.612700     56.37988             35
+#> 9526  VR2AR-546131     -5.612700     56.37988             35
+#> 9527  VR2AR-546131     -5.612700     56.37988             35
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+#> 9529  VR2AR-546131     -5.612700     56.37988             35
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+#> 9531  VR2AR-546131     -5.612700     56.37988             35
+#> 9532  VR2AR-546131     -5.612700     56.37988             35
+#> 9533  VR2AR-546131     -5.612700     56.37988             35
+#> 9534  VR2AR-546131     -5.612700     56.37988             35
+#> 9535  VR2AR-546131     -5.612700     56.37988             35
+#> 9536  VR2AR-546131     -5.612700     56.37988             35
+#> 9537  VR2AR-546131     -5.612700     56.37988             35
+#> 9538  VR2AR-546131     -5.612700     56.37988             35
+#> 9539  VR2AR-546131     -5.612700     56.37988             35
+#> 9540  VR2AR-546131     -5.612700     56.37988             35
+#> 9541  VR2AR-546131     -5.612700     56.37988             35
+#> 9542  VR2AR-546131     -5.612700     56.37988             35
+#> 9543  VR2AR-546131     -5.612700     56.37988             35
+#> 9544  VR2AR-546131     -5.612700     56.37988             35
+#> 9545  VR2AR-546131     -5.612700     56.37988             35
+#> 9546  VR2AR-546131     -5.612700     56.37988             35
+#> 9547  VR2AR-546131     -5.612700     56.37988             35
+#> 9548  VR2AR-546131     -5.612700     56.37988             35
+#> 9549  VR2AR-546131     -5.612700     56.37988             35
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+#> 9551  VR2AR-546131     -5.612700     56.37988             35
+#> 9552  VR2AR-546131     -5.612700     56.37988             35
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+#> 9559  VR2AR-546131     -5.612700     56.37988             35
+#> 9560  VR2AR-546131     -5.612700     56.37988             35
+#> 9561  VR2AR-546131     -5.612700     56.37988             35
+#> 9562  VR2AR-546131     -5.612700     56.37988             35
+#> 9563  VR2AR-546131     -5.612700     56.37988             35
+#> 9564  VR2AR-546131     -5.612700     56.37988             35
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+#> 9569  VR2AR-546131     -5.612700     56.37988             35
+#> 9570  VR2AR-546131     -5.612700     56.37988             35
+#> 9571  VR2AR-546131     -5.612700     56.37988             35
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+#> 9574  VR2AR-546131     -5.612700     56.37988             35
+#> 9575  VR2AR-546131     -5.612700     56.37988             35
+#> 9576  VR2AR-546131     -5.612700     56.37988             35
+#> 9577  VR2AR-546131     -5.612700     56.37988             35
+#> 9578  VR2AR-546131     -5.612700     56.37988             35
+#> 9579  VR2AR-546131     -5.612700     56.37988             35
+#> 9580  VR2AR-546131     -5.612700     56.37988             35
+#> 9581  VR2AR-546131     -5.612700     56.37988             35
+#> 9582  VR2AR-546131     -5.612700     56.37988             35
+#> 9583  VR2AR-546131     -5.612700     56.37988             35
+#> 9584  VR2AR-546131     -5.612700     56.37988             35
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+#> 9587  VR2AR-546131     -5.612700     56.37988             35
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+#> 9589  VR2AR-546131     -5.612700     56.37988             35
+#> 9590  VR2AR-546131     -5.612700     56.37988             35
+#> 9591  VR2AR-546131     -5.612700     56.37988             35
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+#> 9593  VR2AR-546131     -5.612700     56.37988             35
+#> 9594  VR2AR-546131     -5.612700     56.37988             35
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+#> 9599  VR2AR-546131     -5.612700     56.37988             35
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+#> 9602  VR2AR-546131     -5.612700     56.37988             35
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+#> 9605  VR2AR-546131     -5.612700     56.37988             35
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+#> 9607  VR2AR-546131     -5.612700     56.37988             35
+#> 9608  VR2AR-546131     -5.612700     56.37988             35
+#> 9609  VR2AR-546131     -5.612700     56.37988             35
+#> 9610  VR2AR-546131     -5.612700     56.37988             35
+#> 9611  VR2AR-546131     -5.612700     56.37988             35
+#> 9612  VR2AR-546131     -5.612700     56.37988             35
+#> 9613  VR2AR-546131     -5.612700     56.37988             35
+#> 9614  VR2AR-546131     -5.612700     56.37988             35
+#> 9615  VR2AR-546131     -5.612700     56.37988             35
+#> 9616  VR2AR-546131     -5.612700     56.37988             35
+#> 9617  VR2AR-546131     -5.612700     56.37988             35
+#> 9618  VR2AR-546131     -5.612700     56.37988             35
+#> 9619  VR2AR-546131     -5.612700     56.37988             35
+#> 9620  VR2AR-546131     -5.612700     56.37988             35
+#> 9621  VR2AR-546131     -5.612700     56.37988             35
+#> 9622  VR2AR-546131     -5.612700     56.37988             35
+#> 9623  VR2AR-546131     -5.612700     56.37988             35
+#> 9624  VR2AR-546131     -5.612700     56.37988             35
+#> 9625  VR2AR-546131     -5.612700     56.37988             35
+#> 9626  VR2AR-546131     -5.612700     56.37988             35
+#> 9627  VR2AR-546131     -5.612700     56.37988             35
+#> 9628  VR2AR-546131     -5.612700     56.37988             35
+#> 9629  VR2AR-546131     -5.612700     56.37988             35
+#> 9630  VR2AR-546131     -5.612700     56.37988             35
+#> 9631  VR2AR-546131     -5.612700     56.37988             35
+#> 9632  VR2AR-546131     -5.612700     56.37988             35
+#> 9633  VR2AR-546131     -5.612700     56.37988             35
+#> 9634  VR2AR-546131     -5.612700     56.37988             35
+#> 9635  VR2AR-546131     -5.612700     56.37988             35
+#> 9636  VR2AR-546131     -5.612700     56.37988             35
+#> 9637  VR2AR-546131     -5.612700     56.37988             35
+#> 9638  VR2AR-546131     -5.612700     56.37988             35
+#> 9639  VR2AR-546131     -5.612700     56.37988             35
+#> 9640  VR2AR-546131     -5.612700     56.37988             35
+#> 9641  VR2AR-546131     -5.612700     56.37988             35
+#> 9642  VR2AR-546131     -5.612700     56.37988             35
+#> 9643  VR2AR-546131     -5.612700     56.37988             35
+#> 9644  VR2AR-546131     -5.612700     56.37988             35
+#> 9645  VR2AR-546131     -5.612700     56.37988             35
+#> 9646  VR2AR-546131     -5.612700     56.37988             35
+#> 9647  VR2AR-546131     -5.612700     56.37988             35
+#> 9648  VR2AR-546131     -5.612700     56.37988             35
+#> 9649  VR2AR-546131     -5.612700     56.37988             35
+#> 9650  VR2AR-546131     -5.612700     56.37988             35
+#> 9651  VR2AR-546131     -5.612700     56.37988             35
+#> 9652  VR2AR-546131     -5.612700     56.37988             35
+#> 9653  VR2AR-546131     -5.612700     56.37988             35
+#> 9654  VR2AR-546131     -5.612700     56.37988             35
+#> 9655  VR2AR-546131     -5.612700     56.37988             35
+#> 9656  VR2AR-546131     -5.612700     56.37988             35
+#> 9657  VR2AR-546131     -5.612700     56.37988             35
+#> 9658  VR2AR-546131     -5.612700     56.37988             35
+#> 9659  VR2AR-546131     -5.612700     56.37988             35
+#> 9660  VR2AR-546131     -5.612700     56.37988             35
+#> 9661  VR2AR-546131     -5.612700     56.37988             35
+#> 9662  VR2AR-546131     -5.612700     56.37988             35
+#> 9663  VR2AR-546131     -5.612700     56.37988             35
+#> 9664  VR2AR-546131     -5.612700     56.37988             35
+#> 9665  VR2AR-546131     -5.612700     56.37988             35
+#> 9666  VR2AR-546131     -5.612700     56.37988             35
+#> 9667  VR2AR-546131     -5.612700     56.37988             35
+#> 9668  VR2AR-546131     -5.612700     56.37988             35
+#> 9669  VR2AR-546131     -5.612700     56.37988             35
+#> 9670  VR2AR-546131     -5.612700     56.37988             35
+#> 9671  VR2AR-546131     -5.612700     56.37988             35
+#> 9672  VR2AR-546131     -5.612700     56.37988             35
+#> 9673  VR2AR-546131     -5.612700     56.37988             35
+#> 9674  VR2AR-546131     -5.612700     56.37988             35
+#> 9675  VR2AR-546131     -5.612700     56.37988             35
+#> 9676  VR2AR-546131     -5.612700     56.37988             35
+#> 9677  VR2AR-546131     -5.612700     56.37988             35
+#> 9678  VR2AR-546131     -5.612700     56.37988             35
+#> 9679  VR2AR-546131     -5.612700     56.37988             35
+#> 9680  VR2AR-546131     -5.612700     56.37988             35
+#> 9681  VR2AR-546131     -5.612700     56.37988             35
+#> 9682  VR2AR-546131     -5.612700     56.37988             35
+#> 9683  VR2AR-546131     -5.612700     56.37988             35
+#> 9684  VR2AR-546131     -5.612700     56.37988             35
+#> 9685  VR2AR-546131     -5.612700     56.37988             35
+#> 9686  VR2AR-546131     -5.612700     56.37988             35
+#> 9687  VR2AR-546131     -5.612700     56.37988             35
+#> 9688  VR2AR-546131     -5.612700     56.37988             35
+#> 9689  VR2AR-546584     -5.604973     56.37774             30
+#> 9690  VR2AR-546131     -5.612700     56.37988             35
+#> 9691  VR2AR-546584     -5.604973     56.37774             30
+#> 9692  VR2AR-546131     -5.612700     56.37988             35
+#> 9693  VR2AR-546131     -5.612700     56.37988             35
+#> 9694  VR2AR-546584     -5.604973     56.37774             30
+#> 9695  VR2AR-546131     -5.612700     56.37988             35
+#> 9696  VR2AR-546584     -5.604973     56.37774             30
+#> 9697  VR2AR-546131     -5.612700     56.37988             35
+#> 9698  VR2AR-546131     -5.612700     56.37988             35
+#> 9699  VR2AR-546584     -5.604973     56.37774             30
+#> 9700  VR2AR-546131     -5.612700     56.37988             35
+#> 9701  VR2AR-546584     -5.604973     56.37774             30
+#> 9702  VR2AR-546584     -5.604973     56.37774             30
+#> 9703  VR2AR-546131     -5.612700     56.37988             35
+#> 9704  VR2AR-546584     -5.604973     56.37774             30
+#> 9705  VR2AR-546584     -5.604973     56.37774             30
+#> 9706  VR2AR-546584     -5.604973     56.37774             30
+#> 9707  VR2AR-546131     -5.612700     56.37988             35
+#> 9708  VR2AR-546131     -5.612700     56.37988             35
+#> 9709  VR2AR-546584     -5.604973     56.37774             30
+#> 9710  VR2AR-546584     -5.604973     56.37774             30
+#> 9711  VR2AR-546131     -5.612700     56.37988             35
+#> 9712  VR2AR-546584     -5.604973     56.37774             30
+#> 9713  VR2AR-546584     -5.604973     56.37774             30
+#> 9714  VR2AR-546584     -5.604973     56.37774             30
+#> 9715  VR2AR-546584     -5.604973     56.37774             30
+#> 9716  VR2AR-546584     -5.604973     56.37774             30
+#> 9717  VR2AR-546584     -5.604973     56.37774             30
+#> 9718  VR2AR-546131     -5.612700     56.37988             35
+#> 9719  VR2AR-546584     -5.604973     56.37774             30
+#> 9720  VR2AR-546584     -5.604973     56.37774             30
+#> 9721  VR2AR-546131     -5.612700     56.37988             35
+#> 9722  VR2AR-546584     -5.604973     56.37774             30
+#> 9723  VR2AR-546131     -5.612700     56.37988             35
+#> 9724  VR2AR-546131     -5.612700     56.37988             35
+#> 9725  VR2AR-546131     -5.612700     56.37988             35
+#> 9726  VR2AR-546131     -5.612700     56.37988             35
+#> 9727  VR2AR-546131     -5.612700     56.37988             35
+#> 9728  VR2AR-546131     -5.612700     56.37988             35
+#> 9729  VR2AR-546131     -5.612700     56.37988             35
+#> 9730  VR2AR-546584     -5.604973     56.37774             30
+#> 9731  VR2AR-546131     -5.612700     56.37988             35
+#> 9732  VR2AR-546584     -5.604973     56.37774             30
+#> 9733  VR2AR-546131     -5.612700     56.37988             35
+#> 9734  VR2AR-546131     -5.612700     56.37988             35
+#> 9735  VR2AR-546131     -5.612700     56.37988             35
+#> 9736  VR2AR-546131     -5.612700     56.37988             35
+#> 9737  VR2AR-546131     -5.612700     56.37988             35
+#> 9738  VR2AR-546131     -5.612700     56.37988             35
+#> 9739  VR2AR-546131     -5.612700     56.37988             35
+#> 9740  VR2AR-546131     -5.612700     56.37988             35
+#> 9741  VR2AR-546131     -5.612700     56.37988             35
+#> 9742  VR2AR-546131     -5.612700     56.37988             35
+#> 9743  VR2AR-546131     -5.612700     56.37988             35
+#> 9744  VR2AR-546131     -5.612700     56.37988             35
+#> 9745  VR2AR-546131     -5.612700     56.37988             35
+#> 9746  VR2AR-546131     -5.612700     56.37988             35
+#> 9747  VR2AR-546131     -5.612700     56.37988             35
+#> 9748  VR2AR-546131     -5.612700     56.37988             35
+#> 9749  VR2AR-546131     -5.612700     56.37988             35
+#> 9750  VR2AR-546380     -5.637917     56.44800             25
+#> 9751  VR2AR-546380     -5.637917     56.44800             25
+#> 9752  VR2AR-546380     -5.637917     56.44800             25
+#> 9753  VR2AR-546136     -5.626250     56.44810             75
+#> 9754  VR2AR-546136     -5.626250     56.44810             75
+#> 9755  VR2AR-546380     -5.637917     56.44800             25
+#> 9756  VR2AR-546380     -5.637917     56.44800             25
+#> 9757  VR2AR-546380     -5.637917     56.44800             25
+#> 9758  VR2AR-546380     -5.637917     56.44800             25
+#> 9759  VR2AR-546380     -5.637917     56.44800             25
+#> 9760  VR2AR-546380     -5.637917     56.44800             25
+#> 9761  VR2AR-546380     -5.637917     56.44800             25
+#> 9762  VR2AR-546380     -5.637917     56.44800             25
+#> 9763  VR2AR-546380     -5.637917     56.44800             25
+#> 9764  VR2AR-546380     -5.637917     56.44800             25
+#> 9765  VR2AR-546380     -5.637917     56.44800             25
+#> 9766  VR2AR-546380     -5.637917     56.44800             25
+#> 9767  VR2AR-546380     -5.637917     56.44800             25
+#> 9768  VR2AR-546380     -5.637917     56.44800             25
+#> 9769  VR2AR-546380     -5.637917     56.44800             25
+#> 9770  VR2AR-546380     -5.637917     56.44800             25
+#> 9771  VR2AR-546380     -5.637917     56.44800             25
+#> 9772  VR2AR-546380     -5.637917     56.44800             25
+#> 9773  VR2AR-546380     -5.637917     56.44800             25
+#> 9774  VR2AR-546380     -5.637917     56.44800             25
+#> 9775  VR2AR-546380     -5.637917     56.44800             25
+#> 9776  VR2AR-546380     -5.637917     56.44800             25
+#> 9777  VR2AR-546134     -5.643867     56.38278            145
+#> 9778  VR2AR-546134     -5.643867     56.38278            145
+#> 9779  VR2AR-546134     -5.643867     56.38278            145
+#> 9780  VR2AR-546134     -5.643867     56.38278            145
+#> 9781  VR2AR-546134     -5.643867     56.38278            145
+#> 9782  VR2AR-546134     -5.643867     56.38278            145
+#> 9783  VR2AR-546134     -5.643867     56.38278            145
+#> 9784  VR2AR-546134     -5.643867     56.38278            145
+#> 9785  VR2AR-546134     -5.643867     56.38278            145
+#> 9786  VR2AR-546134     -5.643867     56.38278            145
+#> 9787  VR2AR-546134     -5.643867     56.38278            145
+#> 9788  VR2AR-546134     -5.643867     56.38278            145
+#> 9789  VR2AR-546134     -5.643867     56.38278            145
+#> 9790  VR2AR-546134     -5.643867     56.38278            145
+#> 9791  VR2AR-546131     -5.612700     56.37988             35
+#> 9792  VR2AR-546131     -5.612700     56.37988             35
+#> 9793  VR2AR-546131     -5.612700     56.37988             35
+#> 9794  VR2AR-546131     -5.612700     56.37988             35
+#> 9795  VR2AR-546131     -5.612700     56.37988             35
+#> 9796  VR2AR-546131     -5.612700     56.37988             35
+#> 9797  VR2AR-546131     -5.612700     56.37988             35
+#> 9798  VR2AR-546131     -5.612700     56.37988             35
+#> 9799  VR2AR-546131     -5.612700     56.37988             35
+#> 9800  VR2AR-546131     -5.612700     56.37988             35
+#> 9801  VR2AR-546131     -5.612700     56.37988             35
+#> 9802  VR2AR-546131     -5.612700     56.37988             35
+#> 9803  VR2AR-546131     -5.612700     56.37988             35
+#> 9804  VR2AR-546131     -5.612700     56.37988             35
+#> 9805  VR2AR-546131     -5.612700     56.37988             35
+#> 9806  VR2AR-546131     -5.612700     56.37988             35
+#> 9807  VR2AR-546131     -5.612700     56.37988             35
+#> 9808  VR2AR-546131     -5.612700     56.37988             35
+#> 9809  VR2AR-546131     -5.612700     56.37988             35
+#> 9810  VR2AR-546131     -5.612700     56.37988             35
+#> 9811  VR2AR-546131     -5.612700     56.37988             35
+#> 9812  VR2AR-546131     -5.612700     56.37988             35
+#> 9813  VR2AR-546131     -5.612700     56.37988             35
+#> 9814  VR2AR-546131     -5.612700     56.37988             35
+#> 9815  VR2AR-546131     -5.612700     56.37988             35
+#> 9816  VR2AR-546131     -5.612700     56.37988             35
+#> 9817  VR2AR-546131     -5.612700     56.37988             35
+#> 9818  VR2AR-546131     -5.612700     56.37988             35
+#> 9819  VR2AR-546131     -5.612700     56.37988             35
+#> 9820  VR2AR-546131     -5.612700     56.37988             35
+#> 9821  VR2AR-546131     -5.612700     56.37988             35
+#> 9822  VR2AR-546131     -5.612700     56.37988             35
+#> 9823  VR2AR-546131     -5.612700     56.37988             35
+#> 9824  VR2AR-546131     -5.612700     56.37988             35
+#> 9825  VR2AR-546131     -5.612700     56.37988             35
+#> 9826  VR2AR-546131     -5.612700     56.37988             35
+#> 9827  VR2AR-546131     -5.612700     56.37988             35
+#> 9828  VR2AR-546131     -5.612700     56.37988             35
+#> 9829  VR2AR-546131     -5.612700     56.37988             35
+#> 9830  VR2AR-546131     -5.612700     56.37988             35
+#> 9831  VR2AR-546131     -5.612700     56.37988             35
+#> 9832  VR2AR-546131     -5.612700     56.37988             35
+#> 9833  VR2AR-546131     -5.612700     56.37988             35
+#> 9834  VR2AR-546131     -5.612700     56.37988             35
+#> 9835  VR2AR-546131     -5.612700     56.37988             35
+#> 9836  VR2AR-546131     -5.612700     56.37988             35
+#> 9837  VR2AR-546131     -5.612700     56.37988             35
+#> 9838  VR2AR-546131     -5.612700     56.37988             35
+#> 9839  VR2AR-546131     -5.612700     56.37988             35
+#> 9840  VR2AR-546131     -5.612700     56.37988             35
+#> 9841  VR2AR-546131     -5.612700     56.37988             35
+#> 9842  VR2AR-546131     -5.612700     56.37988             35
+#> 9843  VR2AR-546131     -5.612700     56.37988             35
+#> 9844  VR2AR-546131     -5.612700     56.37988             35
+#> 9845  VR2AR-546131     -5.612700     56.37988             35
+#> 9846  VR2AR-546131     -5.612700     56.37988             35
+#> 9847  VR2AR-546131     -5.612700     56.37988             35
+#> 9848  VR2AR-546131     -5.612700     56.37988             35
+#> 9849  VR2AR-546131     -5.612700     56.37988             35
+#> 9850  VR2AR-546131     -5.612700     56.37988             35
+#> 9851  VR2AR-546131     -5.612700     56.37988             35
+#> 9852  VR2AR-546131     -5.612700     56.37988             35
+#> 9853  VR2AR-546131     -5.612700     56.37988             35
+#> 9854  VR2AR-546131     -5.612700     56.37988             35
+#> 9855  VR2AR-546131     -5.612700     56.37988             35
+#> 9856  VR2AR-546131     -5.612700     56.37988             35
+#> 9857  VR2AR-546131     -5.612700     56.37988             35
+#> 9858  VR2AR-546131     -5.612700     56.37988             35
+#> 9859  VR2AR-546131     -5.612700     56.37988             35
+#> 9860  VR2AR-546131     -5.612700     56.37988             35
+#> 9861  VR2AR-546131     -5.612700     56.37988             35
+#> 9862  VR2AR-546131     -5.612700     56.37988             35
+#> 9863  VR2AR-546131     -5.612700     56.37988             35
+#> 9864  VR2AR-546131     -5.612700     56.37988             35
+#> 9865  VR2AR-546131     -5.612700     56.37988             35
+#> 9866  VR2AR-546131     -5.612700     56.37988             35
+#> 9867  VR2AR-546131     -5.612700     56.37988             35
+#> 9868  VR2AR-546131     -5.612700     56.37988             35
+#> 9869  VR2AR-546131     -5.612700     56.37988             35
+#> 9870  VR2AR-546131     -5.612700     56.37988             35
+#> 9871  VR2AR-546131     -5.612700     56.37988             35
+#> 9872  VR2AR-546131     -5.612700     56.37988             35
+#> 9873  VR2AR-546131     -5.612700     56.37988             35
+#> 9874  VR2AR-546131     -5.612700     56.37988             35
+#> 9875  VR2AR-546131     -5.612700     56.37988             35
+#> 9876  VR2AR-546131     -5.612700     56.37988             35
+#> 9877  VR2AR-546131     -5.612700     56.37988             35
+#> 9878  VR2AR-546131     -5.612700     56.37988             35
+#> 9879  VR2AR-546131     -5.612700     56.37988             35
+#> 9880  VR2AR-546131     -5.612700     56.37988             35
+#> 9881  VR2AR-546131     -5.612700     56.37988             35
+#> 9882  VR2AR-546131     -5.612700     56.37988             35
+#> 9883  VR2AR-546131     -5.612700     56.37988             35
+#> 9884  VR2AR-546131     -5.612700     56.37988             35
+#> 9885  VR2AR-546131     -5.612700     56.37988             35
+#> 9886  VR2AR-546131     -5.612700     56.37988             35
+#> 9887  VR2AR-546131     -5.612700     56.37988             35
+#> 9888  VR2AR-546131     -5.612700     56.37988             35
+#> 9889  VR2AR-546131     -5.612700     56.37988             35
+#> 9890  VR2AR-546131     -5.612700     56.37988             35
+#> 9891  VR2AR-546131     -5.612700     56.37988             35
+#> 9892  VR2AR-546131     -5.612700     56.37988             35
+#> 9893  VR2AR-546131     -5.612700     56.37988             35
+#> 9894  VR2AR-546584     -5.604973     56.37774             30
+#> 9895  VR2AR-546131     -5.612700     56.37988             35
+#> 9896  VR2AR-546131     -5.612700     56.37988             35
+#> 9897  VR2AR-546131     -5.612700     56.37988             35
+#> 9898  VR2AR-546131     -5.612700     56.37988             35
+#> 9899  VR2AR-546131     -5.612700     56.37988             35
+#> 9900  VR2AR-546131     -5.612700     56.37988             35
+#> 9901  VR2AR-546131     -5.612700     56.37988             35
+#> 9902  VR2AR-546584     -5.604973     56.37774             30
+#> 9903  VR2AR-546131     -5.612700     56.37988             35
+#> 9904  VR2AR-546131     -5.612700     56.37988             35
+#> 9905  VR2AR-546584     -5.604973     56.37774             30
+#> 9906  VR2AR-546131     -5.612700     56.37988             35
+#> 9907  VR2AR-546131     -5.612700     56.37988             35
+#> 9908  VR2AR-546131     -5.612700     56.37988             35
+#> 9909  VR2AR-546584     -5.604973     56.37774             30
+#> 9910  VR2AR-546131     -5.612700     56.37988             35
+#> 9911  VR2AR-546131     -5.612700     56.37988             35
+#> 9912  VR2AR-546584     -5.604973     56.37774             30
+#> 9913  VR2AR-546584     -5.604973     56.37774             30
+#> 9914  VR2AR-546131     -5.612700     56.37988             35
+#> 9915  VR2AR-546584     -5.604973     56.37774             30
+#> 9916  VR2AR-546131     -5.612700     56.37988             35
+#> 9917  VR2AR-546131     -5.612700     56.37988             35
+#> 9918  VR2AR-546131     -5.612700     56.37988             35
+#> 9919  VR2AR-546131     -5.612700     56.37988             35
+#> 9920  VR2AR-546131     -5.612700     56.37988             35
+#> 9921  VR2AR-546131     -5.612700     56.37988             35
+#> 9922  VR2AR-546131     -5.612700     56.37988             35
+#> 9923  VR2AR-546134     -5.643867     56.38278            145
+#> 9924  VR2AR-546134     -5.643867     56.38278            145
+#> 9925  VR2AR-546134     -5.643867     56.38278            145
+#> 9926  VR2AR-546134     -5.643867     56.38278            145
+#> 9927  VR2AR-546134     -5.643867     56.38278            145
+#> 9928  VR2AR-546134     -5.643867     56.38278            145
+#> 9929  VR2AR-546134     -5.643867     56.38278            145
+#> 9930  VR2AR-546134     -5.643867     56.38278            145
+#> 9931  VR2AR-546134     -5.643867     56.38278            145
+#> 9932  VR2AR-546134     -5.643867     56.38278            145
+#> 9933  VR2AR-546134     -5.643867     56.38278            145
+#> 9934  VR2AR-546134     -5.643867     56.38278            145
+#> 9935  VR2AR-546134     -5.643867     56.38278            145
+#> 9936  VR2AR-546134     -5.643867     56.38278            145
+#> 9937  VR2AR-546135     -5.657067     56.38803             85
+#> 9938  VR2AR-546135     -5.657067     56.38803             85
+#> 9939  VR2AR-546135     -5.657067     56.38803             85
+#> 9940  VR2AR-546135     -5.657067     56.38803             85
+#> 9941  VR2AR-546587     -5.661620     56.39041             15
+#> 9942  VR2AR-546135     -5.657067     56.38803             85
+#> 9943  VR2AR-546587     -5.661620     56.39041             15
+#> 9944  VR2AR-546135     -5.657067     56.38803             85
+#> 9945  VR2AR-546587     -5.661620     56.39041             15
+#> 9946  VR2AR-546587     -5.661620     56.39041             15
+#> 9947  VR2AR-546587     -5.661620     56.39041             15
+#> 9948  VR2AR-546587     -5.661620     56.39041             15
+#> 9949  VR2AR-546587     -5.661620     56.39041             15
+#> 9950  VR2AR-546587     -5.661620     56.39041             15
+#> 9951  VR2AR-546587     -5.661620     56.39041             15
+#> 9952  VR2AR-546587     -5.661620     56.39041             15
+#> 9953  VR2AR-546587     -5.661620     56.39041             15
+#> 9954  VR2AR-546587     -5.661620     56.39041             15
+#> 9955  VR2AR-546587     -5.661620     56.39041             15
+#> 9956  VR2AR-546587     -5.661620     56.39041             15
+#> 9957  VR2AR-546135     -5.657067     56.38803             85
+#> 9958  VR2AR-546587     -5.661620     56.39041             15
+#> 9959  VR2AR-546587     -5.661620     56.39041             15
+#> 9960  VR2AR-546587     -5.661620     56.39041             15
+#> 9961  VR2AR-546587     -5.661620     56.39041             15
+#> 9962  VR2AR-546135     -5.657067     56.38803             85
+#> 9963  VR2AR-546587     -5.661620     56.39041             15
+#> 9964  VR2AR-546587     -5.661620     56.39041             15
+#> 9965  VR2AR-546135     -5.657067     56.38803             85
+#> 9966  VR2AR-546587     -5.661620     56.39041             15
+#> 9967  VR2AR-546131     -5.612700     56.37988             35
+#> 9968  VR2AR-546131     -5.612700     56.37988             35
+#> 9969  VR2AR-546131     -5.612700     56.37988             35
+#> 9970  VR2AR-546131     -5.612700     56.37988             35
+#> 9971  VR2AR-546131     -5.612700     56.37988             35
+#> 9972  VR2AR-546131     -5.612700     56.37988             35
+#> 9973  VR2AR-546131     -5.612700     56.37988             35
+#> 9974  VR2AR-546131     -5.612700     56.37988             35
+#> 9975  VR2AR-546131     -5.612700     56.37988             35
+#> 9976  VR2AR-546131     -5.612700     56.37988             35
+#> 9977  VR2AR-546131     -5.612700     56.37988             35
+#> 9978  VR2AR-546131     -5.612700     56.37988             35
+#> 9979  VR2AR-546131     -5.612700     56.37988             35
+#> 9980  VR2AR-546131     -5.612700     56.37988             35
+#> 9981  VR2AR-546131     -5.612700     56.37988             35
+#> 9982  VR2AR-546131     -5.612700     56.37988             35
+#> 9983  VR2AR-546131     -5.612700     56.37988             35
+#> 9984  VR2AR-546131     -5.612700     56.37988             35
+#> 9985  VR2AR-546131     -5.612700     56.37988             35
+#> 9986  VR2AR-546131     -5.612700     56.37988             35
+#> 9987  VR2AR-546131     -5.612700     56.37988             35
+#> 9988  VR2AR-546131     -5.612700     56.37988             35
+#> 9989  VR2AR-546131     -5.612700     56.37988             35
+#> 9990  VR2AR-546131     -5.612700     56.37988             35
+#> 9991  VR2AR-546131     -5.612700     56.37988             35
+#> 9992  VR2AR-546131     -5.612700     56.37988             35
+#> 9993  VR2AR-546131     -5.612700     56.37988             35
+#> 9994  VR2AR-546131     -5.612700     56.37988             35
+#> 9995  VR2AR-546131     -5.612700     56.37988             35
+#> 9996  VR2AR-546131     -5.612700     56.37988             35
+#> 9997  VR2AR-546131     -5.612700     56.37988             35
+#> 9998  VR2AR-546131     -5.612700     56.37988             35
+#> 9999  VR2AR-546131     -5.612700     56.37988             35
+#> 10000 VR2AR-546131     -5.612700     56.37988             35
+#> 10001 VR2AR-546131     -5.612700     56.37988             35
+#> 10002 VR2AR-546131     -5.612700     56.37988             35
+#> 10003 VR2AR-546131     -5.612700     56.37988             35
+#> 10004 VR2AR-546131     -5.612700     56.37988             35
+#> 10005 VR2AR-546131     -5.612700     56.37988             35
+#> 10006 VR2AR-546131     -5.612700     56.37988             35
+#> 10007 VR2AR-546131     -5.612700     56.37988             35
+#> 10008 VR2AR-546131     -5.612700     56.37988             35
+#> 10009 VR2AR-546131     -5.612700     56.37988             35
+#> 10010 VR2AR-546131     -5.612700     56.37988             35
+#> 10011 VR2AR-546131     -5.612700     56.37988             35
+#> 10012 VR2AR-546131     -5.612700     56.37988             35
+#> 10013 VR2AR-546131     -5.612700     56.37988             35
+#> 10014 VR2AR-546131     -5.612700     56.37988             35
+#> 10015 VR2AR-546131     -5.612700     56.37988             35
+#> 10016 VR2AR-546131     -5.612700     56.37988             35
+#> 10017 VR2AR-546131     -5.612700     56.37988             35
+#> 10018 VR2AR-546131     -5.612700     56.37988             35
+#> 10019 VR2AR-546131     -5.612700     56.37988             35
+#> 10020 VR2AR-546131     -5.612700     56.37988             35
+#> 10021 VR2AR-546131     -5.612700     56.37988             35
+#> 10022 VR2AR-546131     -5.612700     56.37988             35
+#> 10023 VR2AR-546131     -5.612700     56.37988             35
+#> 10024 VR2AR-546131     -5.612700     56.37988             35
+#> 10025 VR2AR-546131     -5.612700     56.37988             35
+#> 10026 VR2AR-546131     -5.612700     56.37988             35
+#> 10027 VR2AR-546131     -5.612700     56.37988             35
+#> 10028 VR2AR-546380     -5.637917     56.44800             25
+#> 10029 VR2AR-546380     -5.637917     56.44800             25
+#> 10030 VR2AR-546380     -5.637917     56.44800             25
+#> 10031 VR2AR-546380     -5.637917     56.44800             25
+#> 10032 VR2AR-546380     -5.637917     56.44800             25
+#> 10033 VR2AR-546380     -5.637917     56.44800             25
+#> 10034 VR2AR-546380     -5.637917     56.44800             25
+#> 10035 VR2AR-546380     -5.637917     56.44800             25
+#> 10036 VR2AR-546136     -5.626250     56.44810             75
+#> 10037 VR2AR-546136     -5.626250     56.44810             75
+#> 10038 VR2AR-546136     -5.626250     56.44810             75
+#> 10039 VR2AR-546136     -5.626250     56.44810             75
+#> 10040 VR2AR-546136     -5.626250     56.44810             75
+#> 10041 VR2AR-546136     -5.626250     56.44810             75
+#> 10042 VR2AR-546133     -5.701717     56.49747             90
+#> 10043 VR2AR-546133     -5.701717     56.49747             90
+#> 10044 VR2AR-546133     -5.701717     56.49747             90
+#> 10045 VR2AR-546133     -5.701717     56.49747             90
+#> 10046 VR2AR-546133     -5.701717     56.49747             90
+#> 10047 VR2AR-546133     -5.701717     56.49747             90
+#> 10048 VR2AR-546133     -5.701717     56.49747             90
+#> 10049 VR2AR-546133     -5.701717     56.49747             90
+#> 10050 VR2AR-546133     -5.701717     56.49747             90
+#> 10051 VR2AR-546133     -5.701717     56.49747             90
+#> 10052 VR2AR-546133     -5.701717     56.49747             90
+#> 10053 VR2AR-546133     -5.701717     56.49747             90
+#> 10054 VR2AR-546133     -5.701717     56.49747             90
+#> 10055 VR2AR-546133     -5.701717     56.49747             90
+#> 10056 VR2AR-546133     -5.701717     56.49747             90
+#> 10057 VR2AR-546133     -5.701717     56.49747             90
+#> 10058 VR2AR-546133     -5.701717     56.49747             90
+#> 10059 VR2AR-546133     -5.701717     56.49747             90
+#> 10060 VR2AR-546133     -5.701717     56.49747             90
+#> 10061 VR2AR-546133     -5.701717     56.49747             90
+#> 10062 VR2AR-546133     -5.701717     56.49747             90
+#> 10063 VR2AR-546133     -5.701717     56.49747             90
+#> 10064 VR2AR-546133     -5.701717     56.49747             90
+#> 10065 VR2AR-546133     -5.701717     56.49747             90
+#> 10066 VR2AR-546133     -5.701717     56.49747             90
+#> 10067 VR2AR-546133     -5.701717     56.49747             90
+#> 10068 VR2AR-546133     -5.701717     56.49747             90
+#> 10069 VR2AR-546133     -5.701717     56.49747             90
+#> 10070 VR2AR-546133     -5.701717     56.49747             90
+#> 10071 VR2AR-546133     -5.701717     56.49747             90
+#> 10072 VR2AR-546133     -5.701717     56.49747             90
+#> 10073 VR2AR-546133     -5.701717     56.49747             90
+#> 10074 VR2AR-546133     -5.701717     56.49747             90
+#> 10075 VR2AR-546133     -5.701717     56.49747             90
+#> 10076 VR2AR-546133     -5.701717     56.49747             90
+#> 10077 VR2AR-546133     -5.701717     56.49747             90
+#> 10078 VR2AR-546133     -5.701717     56.49747             90
+#> 10079 VR2AR-546133     -5.701717     56.49747             90
+#> 10080 VR2AR-546133     -5.701717     56.49747             90
+#> 10081 VR2AR-546133     -5.701717     56.49747             90
+#> 10082 VR2AR-546133     -5.701717     56.49747             90
+#> 10083 VR2AR-546133     -5.701717     56.49747             90
+#> 10084 VR2AR-546133     -5.701717     56.49747             90
+#> 10085 VR2AR-546133     -5.701717     56.49747             90
+#> 10086 VR2AR-546133     -5.701717     56.49747             90
+#> 10087 VR2AR-546133     -5.701717     56.49747             90
+#> 10088 VR2AR-546133     -5.701717     56.49747             90
+#> 10089 VR2AR-546133     -5.701717     56.49747             90
+#> 10090 VR2AR-546586     -5.707092     56.49447             20
+#> 10091 VR2AR-546133     -5.701717     56.49747             90
+#> 10092 VR2AR-546133     -5.701717     56.49747             90
+#> 10093 VR2AR-546586     -5.707092     56.49447             20
+#> 10094 VR2AR-546133     -5.701717     56.49747             90
+#> 10095 VR2AR-546133     -5.701717     56.49747             90
+#> 10096 VR2AR-546133     -5.701717     56.49747             90
+#> 10097 VR2AR-546586     -5.707092     56.49447             20
+#> 10098 VR2AR-546133     -5.701717     56.49747             90
+#> 10099 VR2AR-546133     -5.701717     56.49747             90
+#> 10100 VR2AR-546133     -5.701717     56.49747             90
+#> 10101 VR2AR-546586     -5.707092     56.49447             20
+#> 10102 VR2AR-546586     -5.707092     56.49447             20
+#> 10103 VR2AR-546133     -5.701717     56.49747             90
+#> 10104 VR2AR-546586     -5.707092     56.49447             20
+#> 10105 VR2AR-546133     -5.701717     56.49747             90
+#> 10106 VR2AR-546133     -5.701717     56.49747             90
+#> 10107 VR2AR-546586     -5.707092     56.49447             20
+#> 10108 VR2AR-546133     -5.701717     56.49747             90
+#> 10109 VR2AR-546586     -5.707092     56.49447             20
+#> 10110 VR2AR-546586     -5.707092     56.49447             20
+#> 10111 VR2AR-546586     -5.707092     56.49447             20
+#> 10112 VR2AR-546133     -5.701717     56.49747             90
+#> 10113 VR2AR-546586     -5.707092     56.49447             20
+#> 10114 VR2AR-546586     -5.707092     56.49447             20
+#> 10115 VR2AR-546133     -5.701717     56.49747             90
+#> 10116 VR2AR-546586     -5.707092     56.49447             20
+#> 10117 VR2AR-546586     -5.707092     56.49447             20
+#> 10118 VR2AR-546133     -5.701717     56.49747             90
+#> 10119 VR2AR-546133     -5.701717     56.49747             90
+#> 10120 VR2AR-546586     -5.707092     56.49447             20
+#> 10121 VR2AR-546586     -5.707092     56.49447             20
+#> 10122 VR2AR-546133     -5.701717     56.49747             90
+#> 10123 VR2AR-546586     -5.707092     56.49447             20
+#> 10124 VR2AR-546586     -5.707092     56.49447             20
+#> 10125 VR2AR-546586     -5.707092     56.49447             20
+#> 10126 VR2AR-546586     -5.707092     56.49447             20
+#> 10127 VR2AR-546586     -5.707092     56.49447             20
+#> 10128 VR2AR-546586     -5.707092     56.49447             20
+#> 10129 VR2AR-546586     -5.707092     56.49447             20
+#> 10130 VR2AR-546586     -5.707092     56.49447             20
+#> 10131 VR2AR-546586     -5.707092     56.49447             20
+#> 10132 VR2AR-546586     -5.707092     56.49447             20
+#> 10133 VR2AR-546133     -5.701717     56.49747             90
+#> 10134 VR2AR-546586     -5.707092     56.49447             20
+#> 10135 VR2AR-546133     -5.701717     56.49747             90
+#> 10136 VR2AR-546133     -5.701717     56.49747             90
+#> 10137 VR2AR-546133     -5.701717     56.49747             90
+#> 10138 VR2AR-546133     -5.701717     56.49747             90
+#> 10139 VR2AR-546133     -5.701717     56.49747             90
+#> 10140 VR2AR-546133     -5.701717     56.49747             90
+#> 10141 VR2AR-546133     -5.701717     56.49747             90
+#> 10142 VR2AR-546133     -5.701717     56.49747             90
+#> 10143 VR2AR-546133     -5.701717     56.49747             90
+#> 10144 VR2AR-546133     -5.701717     56.49747             90
+#> 10145 VR2AR-546133     -5.701717     56.49747             90
+#> 10146 VR2AR-546133     -5.701717     56.49747             90
+#> 10147 VR2AR-546133     -5.701717     56.49747             90
+#> 10148 VR2AR-546133     -5.701717     56.49747             90
+#> 10149 VR2AR-546133     -5.701717     56.49747             90
+#> 10150 VR2AR-546133     -5.701717     56.49747             90
+#> 10151 VR2AR-546133     -5.701717     56.49747             90
+#> 10152 VR2AR-546133     -5.701717     56.49747             90
+#> 10153 VR2AR-546133     -5.701717     56.49747             90
+#> 10154 VR2AR-546133     -5.701717     56.49747             90
+#> 10155 VR2AR-546133     -5.701717     56.49747             90
+#> 10156 VR2AR-546586     -5.707092     56.49447             20
+#> 10157 VR2AR-546133     -5.701717     56.49747             90
+#> 10158 VR2AR-546133     -5.701717     56.49747             90
+#> 10159 VR2AR-546133     -5.701717     56.49747             90
+#> 10160 VR2AR-546133     -5.701717     56.49747             90
+#> 10161 VR2AR-546586     -5.707092     56.49447             20
+#> 10162 VR2AR-546586     -5.707092     56.49447             20
+#> 10163 VR2AR-546133     -5.701717     56.49747             90
+#> 10164 VR2AR-546586     -5.707092     56.49447             20
+#> 10165 VR2AR-546133     -5.701717     56.49747             90
+#> 10166 VR2AR-546133     -5.701717     56.49747             90
+#> 10167 VR2AR-546133     -5.701717     56.49747             90
+#> 10168 VR2AR-546586     -5.707092     56.49447             20
+#> 10169 VR2AR-546133     -5.701717     56.49747             90
+#> 10170 VR2AR-546133     -5.701717     56.49747             90
+#> 10171 VR2AR-546133     -5.701717     56.49747             90
+#> 10172 VR2AR-546133     -5.701717     56.49747             90
+#> 10173 VR2AR-546133     -5.701717     56.49747             90
+#> 10174 VR2AR-546133     -5.701717     56.49747             90
+#> 10175 VR2AR-546133     -5.701717     56.49747             90
+#> 10176 VR2AR-546133     -5.701717     56.49747             90
+#> 10177 VR2AR-546133     -5.701717     56.49747             90
+#> 10178 VR2AR-546133     -5.701717     56.49747             90
+#> 10179 VR2AR-546133     -5.701717     56.49747             90
+#> 10180 VR2AR-546133     -5.701717     56.49747             90
+#> 10181 VR2AR-546133     -5.701717     56.49747             90
+#> 10182 VR2AR-546133     -5.701717     56.49747             90
+#> 10183 VR2AR-546133     -5.701717     56.49747             90
+#> 10184 VR2AR-546133     -5.701717     56.49747             90
+#> 10185 VR2AR-546133     -5.701717     56.49747             90
+#> 10186 VR2AR-546133     -5.701717     56.49747             90
+#> 10187 VR2AR-546133     -5.701717     56.49747             90
+#> 10188 VR2AR-546133     -5.701717     56.49747             90
+#> 10189 VR2AR-546133     -5.701717     56.49747             90
+#> 10190 VR2AR-546133     -5.701717     56.49747             90
+#> 10191 VR2AR-546133     -5.701717     56.49747             90
+#> 10192 VR2AR-546133     -5.701717     56.49747             90
+#> 10193 VR2AR-546133     -5.701717     56.49747             90
+#> 10194 VR2AR-546133     -5.701717     56.49747             90
+#> 10195 VR2AR-546133     -5.701717     56.49747             90
+#> 10196 VR2AR-546133     -5.701717     56.49747             90
+#> 10197 VR2AR-546133     -5.701717     56.49747             90
+#> 10198 VR2AR-546133     -5.701717     56.49747             90
+#> 10199 VR2AR-546133     -5.701717     56.49747             90
+#> 10200 VR2AR-546133     -5.701717     56.49747             90
+#> 10201 VR2AR-546133     -5.701717     56.49747             90
+#> 10202 VR2AR-546133     -5.701717     56.49747             90
+#> 10203 VR2AR-546133     -5.701717     56.49747             90
+#> 10204 VR2AR-546133     -5.701717     56.49747             90
+#> 10205 VR2AR-546133     -5.701717     56.49747             90
+#> 10206 VR2AR-546133     -5.701717     56.49747             90
+#> 10207 VR2AR-546133     -5.701717     56.49747             90
+#> 10208 VR2AR-546133     -5.701717     56.49747             90
+#> 10209 VR2AR-546133     -5.701717     56.49747             90
+#> 10210 VR2AR-546133     -5.701717     56.49747             90
+#> 10211 VR2AR-546133     -5.701717     56.49747             90
+#> 10212 VR2AR-546133     -5.701717     56.49747             90
+#> 10213 VR2AR-546133     -5.701717     56.49747             90
+#> 10214 VR2AR-546133     -5.701717     56.49747             90
+#> 10215 VR2AR-546133     -5.701717     56.49747             90
+#> 10216 VR2AR-546133     -5.701717     56.49747             90
+#> 10217 VR2AR-546133     -5.701717     56.49747             90
+#> 10218 VR2AR-546133     -5.701717     56.49747             90
+#> 10219 VR2AR-546133     -5.701717     56.49747             90
+#> 10220 VR2AR-546133     -5.701717     56.49747             90
+#> 10221 VR2AR-546133     -5.701717     56.49747             90
+#> 10222 VR2AR-546133     -5.701717     56.49747             90
+#> 10223 VR2AR-546133     -5.701717     56.49747             90
+#> 10224 VR2AR-546133     -5.701717     56.49747             90
+#> 10225 VR2AR-546133     -5.701717     56.49747             90
+#> 10226 VR2AR-546133     -5.701717     56.49747             90
+#> 10227 VR2AR-546133     -5.701717     56.49747             90
+#> 10228 VR2AR-546133     -5.701717     56.49747             90
+#> 10229 VR2AR-546133     -5.701717     56.49747             90
+#> 10230 VR2AR-546133     -5.701717     56.49747             90
+#> 10231 VR2AR-546133     -5.701717     56.49747             90
+#> 10232 VR2AR-546133     -5.701717     56.49747             90
+#> 10233 VR2AR-546133     -5.701717     56.49747             90
+#> 10234 VR2AR-546133     -5.701717     56.49747             90
+#> 10235 VR2AR-546133     -5.701717     56.49747             90
+#> 10236 VR2AR-546133     -5.701717     56.49747             90
+#> 10237 VR2AR-546133     -5.701717     56.49747             90
+#> 10238 VR2AR-546133     -5.701717     56.49747             90
+#> 10239 VR2AR-546133     -5.701717     56.49747             90
+#> 10240 VR2AR-546133     -5.701717     56.49747             90
+#> 10241 VR2AR-546133     -5.701717     56.49747             90
+#> 10242 VR2AR-546133     -5.701717     56.49747             90
+#> 10243 VR2AR-546133     -5.701717     56.49747             90
+#> 10244 VR2AR-546133     -5.701717     56.49747             90
+#> 10245 VR2AR-546133     -5.701717     56.49747             90
+#> 10246 VR2AR-546133     -5.701717     56.49747             90
+#> 10247 VR2AR-546133     -5.701717     56.49747             90
+#> 10248 VR2AR-546133     -5.701717     56.49747             90
+#> 10249 VR2AR-546133     -5.701717     56.49747             90
+#> 10250 VR2AR-546133     -5.701717     56.49747             90
+#> 10251 VR2AR-546133     -5.701717     56.49747             90
+#> 10252 VR2AR-546133     -5.701717     56.49747             90
+#> 10253 VR2AR-546133     -5.701717     56.49747             90
+#> 10254 VR2AR-546133     -5.701717     56.49747             90
+#> 10255 VR2AR-546133     -5.701717     56.49747             90
+#> 10256 VR2AR-546133     -5.701717     56.49747             90
+#> 10257 VR2AR-546586     -5.707092     56.49447             20
+#> 10258 VR2AR-546133     -5.701717     56.49747             90
+#> 10259 VR2AR-546133     -5.701717     56.49747             90
+#> 10260 VR2AR-546133     -5.701717     56.49747             90
+#> 10261 VR2AR-546586     -5.707092     56.49447             20
+#> 10262 VR2AR-546133     -5.701717     56.49747             90
+#> 10263 VR2AR-546133     -5.701717     56.49747             90
+#> 10264 VR2AR-546133     -5.701717     56.49747             90
+#> 10265 VR2AR-546586     -5.707092     56.49447             20
+#> 10266 VR2AR-546133     -5.701717     56.49747             90
+#> 10267 VR2AR-546133     -5.701717     56.49747             90
+#> 10268 VR2AR-546133     -5.701717     56.49747             90
+#> 10269 VR2AR-546586     -5.707092     56.49447             20
+#> 10270 VR2AR-546133     -5.701717     56.49747             90
+#> 10271 VR2AR-546133     -5.701717     56.49747             90
+#> 10272 VR2AR-546133     -5.701717     56.49747             90
+#> 10273 VR2AR-546133     -5.701717     56.49747             90
+#> 10274 VR2AR-546133     -5.701717     56.49747             90
+#> 10275     VR2-5637     -5.692417     56.49913             25
+#> 10276     VR2-5637     -5.692417     56.49913             25
+#> 10277     VR2-5637     -5.692417     56.49913             25
+#> 10278     VR2-5637     -5.692417     56.49913             25
+#> 10279 VR2AR-546133     -5.701717     56.49747             90
+#> 10280 VR2AR-546133     -5.701717     56.49747             90
+#> 10281 VR2AR-546133     -5.701717     56.49747             90
+#> 10282 VR2AR-546133     -5.701717     56.49747             90
+#> 10283 VR2AR-546133     -5.701717     56.49747             90
+#> 10284 VR2AR-546133     -5.701717     56.49747             90
+#> 10285 VR2AR-546136     -5.626250     56.44810             75
+#> 10286 VR2AR-546136     -5.626250     56.44810             75
+#> 10287 VR2AR-546136     -5.626250     56.44810             75
+#> 10288 VR2AR-546136     -5.626250     56.44810             75
+#> 10289 VR2AR-546136     -5.626250     56.44810             75
+#> 10290 VR2AR-546136     -5.626250     56.44810             75
+#> 10291 VR2AR-546131     -5.612700     56.37988             35
+#> 10292 VR2AR-546131     -5.612700     56.37988             35
+#> 10293 VR2AR-546131     -5.612700     56.37988             35
+#> 10294 VR2AR-546131     -5.612700     56.37988             35
+#> 10295 VR2AR-546131     -5.612700     56.37988             35
+#> 10296 VR2AR-546131     -5.612700     56.37988             35
+#> 10297 VR2AR-546131     -5.612700     56.37988             35
+#> 10298 VR2AR-546131     -5.612700     56.37988             35
+#> 10299 VR2AR-546131     -5.612700     56.37988             35
+#> 10300 VR2AR-546131     -5.612700     56.37988             35
+#> 10301 VR2AR-546131     -5.612700     56.37988             35
+#> 10302 VR2AR-546131     -5.612700     56.37988             35
+#> 10303 VR2AR-546131     -5.612700     56.37988             35
+#> 10304 VR2AR-546131     -5.612700     56.37988             35
+#> 10305 VR2AR-546131     -5.612700     56.37988             35
+#> 10306 VR2AR-546131     -5.612700     56.37988             35
+#> 10307 VR2AR-546131     -5.612700     56.37988             35
+#> 10308 VR2AR-546131     -5.612700     56.37988             35
+#> 10309 VR2AR-546131     -5.612700     56.37988             35
+#> 10310 VR2AR-546131     -5.612700     56.37988             35
+#> 10311 VR2AR-546131     -5.612700     56.37988             35
+#> 10312 VR2AR-546131     -5.612700     56.37988             35
+#> 10313 VR2AR-546131     -5.612700     56.37988             35
+#> 10314 VR2AR-546131     -5.612700     56.37988             35
+#> 10315 VR2AR-546131     -5.612700     56.37988             35
+#> 10316 VR2AR-546131     -5.612700     56.37988             35
+#> 10317 VR2AR-546131     -5.612700     56.37988             35
+#> 10318 VR2AR-546131     -5.612700     56.37988             35
+#> 10319 VR2AR-546131     -5.612700     56.37988             35
+#> 10320 VR2AR-546131     -5.612700     56.37988             35
+#> 10321 VR2AR-546131     -5.612700     56.37988             35
+#> 10322 VR2AR-546131     -5.612700     56.37988             35
+#> 10323 VR2AR-546131     -5.612700     56.37988             35
+#> 10324 VR2AR-546131     -5.612700     56.37988             35
+#> 10325 VR2AR-546131     -5.612700     56.37988             35
+#> 10326 VR2AR-546131     -5.612700     56.37988             35
+#> 10327 VR2AR-546131     -5.612700     56.37988             35
+#> 10328 VR2AR-546131     -5.612700     56.37988             35
+#> 10329 VR2AR-546131     -5.612700     56.37988             35
+#> 10330 VR2AR-546131     -5.612700     56.37988             35
+#> 10331 VR2AR-546131     -5.612700     56.37988             35
+#> 10332 VR2AR-546131     -5.612700     56.37988             35
+#> 10333 VR2AR-546131     -5.612700     56.37988             35
+#> 10334 VR2AR-546131     -5.612700     56.37988             35
+#> 10335 VR2AR-546131     -5.612700     56.37988             35
+#> 10336 VR2AR-546131     -5.612700     56.37988             35
+#> 10337 VR2AR-546131     -5.612700     56.37988             35
+#> 10338 VR2AR-546131     -5.612700     56.37988             35
+#> 10339 VR2AR-546131     -5.612700     56.37988             35
+#> 10340 VR2AR-546380     -5.637917     56.44800             25
+#> 10341 VR2AR-546380     -5.637917     56.44800             25
+#> 10342 VR2AR-546136     -5.626250     56.44810             75
+#> 10343 VR2AR-546136     -5.626250     56.44810             75
+#> 10344 VR2AR-546380     -5.637917     56.44800             25
+#> 10345 VR2AR-546380     -5.637917     56.44800             25
+#> 10346 VR2AR-546134     -5.643867     56.38278            145
+#> 10347 VR2AR-546134     -5.643867     56.38278            145
+#> 10348 VR2AR-546134     -5.643867     56.38278            145
+#> 10349 VR2AR-546134     -5.643867     56.38278            145
+#> 10350 VR2AR-546134     -5.643867     56.38278            145
+#> 10351 VR2AR-546134     -5.643867     56.38278            145
+#> 10352 VR2AR-546134     -5.643867     56.38278            145
+#> 10353 VR2AR-546134     -5.643867     56.38278            145
+#> 10354 VR2AR-546134     -5.643867     56.38278            145
+#> 10355 VR2AR-546134     -5.643867     56.38278            145
+#> 10356 VR2AR-546134     -5.643867     56.38278            145
+#> 10357 VR2AR-546134     -5.643867     56.38278            145
+#> 10358 VR2AR-546134     -5.643867     56.38278            145
+#> 10359 VR2AR-546134     -5.643867     56.38278            145
+#> 10360 VR2AR-546134     -5.643867     56.38278            145
+#> 10361 VR2AR-546134     -5.643867     56.38278            145
+#> 10362 VR2AR-546134     -5.643867     56.38278            145
+#> 10363 VR2AR-546134     -5.643867     56.38278            145
+#> 10364 VR2AR-546134     -5.643867     56.38278            145
+#> 10365 VR2AR-546134     -5.643867     56.38278            145
+#> 10366 VR2AR-546134     -5.643867     56.38278            145
+#> 10367 VR2AR-546134     -5.643867     56.38278            145
+#> 10368 VR2AR-546134     -5.643867     56.38278            145
+#> 10369 VR2AR-546134     -5.643867     56.38278            145
+#> 10370 VR2AR-546134     -5.643867     56.38278            145
+#> 10371 VR2AR-546134     -5.643867     56.38278            145
+#> 10372 VR2AR-546134     -5.643867     56.38278            145
+#> 10373 VR2AR-546134     -5.643867     56.38278            145
+#> 10374 VR2AR-546134     -5.643867     56.38278            145
+#> 10375 VR2AR-546134     -5.643867     56.38278            145
+#> 10376 VR2AR-546134     -5.643867     56.38278            145
+#> 10377 VR2AR-546134     -5.643867     56.38278            145
+#> 10378 VR2AR-546134     -5.643867     56.38278            145
+#> 10379 VR2AR-546134     -5.643867     56.38278            145
+#> 10380 VR2AR-546134     -5.643867     56.38278            145
+#> 10381 VR2AR-546134     -5.643867     56.38278            145
+#> 10382 VR2AR-546134     -5.643867     56.38278            145
+#> 10383 VR2AR-546585     -5.623995     56.37436             75
+#> 10384 VR2AR-546585     -5.623995     56.37436             75
+#> 10385 VR2AR-546585     -5.623995     56.37436             75
+#> 10386 VR2AR-546585     -5.623995     56.37436             75
+#> 10387 VR2AR-546585     -5.623995     56.37436             75
+#> 10388 VR2AR-546585     -5.623995     56.37436             75
+#> 10389 VR2AR-546585     -5.623995     56.37436             75
+#> 10390 VR2AR-546585     -5.623995     56.37436             75
+#> 10391 VR2AR-546585     -5.623995     56.37436             75
+#> 10392 VR2AR-546585     -5.623995     56.37436             75
+#> 10393 VR2AR-546585     -5.623995     56.37436             75
+#> 10394 VR2AR-546585     -5.623995     56.37436             75
+#> 10395 VR2AR-546585     -5.623995     56.37436             75
+#> 10396 VR2AR-546585     -5.623995     56.37436             75
+#> 10397 VR2AR-546585     -5.623995     56.37436             75
+#> 10398 VR2AR-546585     -5.623995     56.37436             75
+#> 10399 VR2AR-546585     -5.623995     56.37436             75
+#> 10400 VR2AR-546585     -5.623995     56.37436             75
+#> 10401 VR2AR-546585     -5.623995     56.37436             75
+#> 10402 VR2AR-546585     -5.623995     56.37436             75
+#> 10403 VR2AR-546585     -5.623995     56.37436             75
+#> 10404  VR2W-108158     -5.619533     56.37413             25
+#> 10405  VR2W-108158     -5.619533     56.37413             25
+#> 10406 VR2AR-546585     -5.623995     56.37436             75
+#> 10407  VR2W-108158     -5.619533     56.37413             25
+#> 10408 VR2AR-546585     -5.623995     56.37436             75
+#> 10409 VR2AR-546585     -5.623995     56.37436             75
+#> 10410 VR2AR-546585     -5.623995     56.37436             75
+#> 10411  VR2W-108158     -5.619533     56.37413             25
+#> 10412  VR2W-108158     -5.619533     56.37413             25
+#> 10413  VR2W-108158     -5.619533     56.37413             25
+#> 10414  VR2W-108158     -5.619533     56.37413             25
+#> 10415  VR2W-108158     -5.619533     56.37413             25
+#> 10416  VR2W-108158     -5.619533     56.37413             25
+#> 10417 VR2AR-546585     -5.623995     56.37436             75
+#> 10418  VR2W-108158     -5.619533     56.37413             25
+#> 10419  VR2W-108158     -5.619533     56.37413             25
+#> 10420  VR2W-108158     -5.619533     56.37413             25
+#> 10421 VR2AR-546585     -5.623995     56.37436             75
+#> 10422  VR2W-108158     -5.619533     56.37413             25
+#> 10423  VR2W-108158     -5.619533     56.37413             25
+#> 10424  VR2W-108158     -5.619533     56.37413             25
+#> 10425  VR2W-108158     -5.619533     56.37413             25
+#> 10426  VR2W-108158     -5.619533     56.37413             25
+#> 10427  VR2W-108158     -5.619533     56.37413             25
+#> 10428 VR2AR-546585     -5.623995     56.37436             75
+#> 10429  VR2W-108158     -5.619533     56.37413             25
+#> 10430  VR2W-108158     -5.619533     56.37413             25
+#> 10431 VR2AR-546585     -5.623995     56.37436             75
+#> 10432  VR2W-108158     -5.619533     56.37413             25
+#> 10433 VR2AR-546585     -5.623995     56.37436             75
+#> 10434  VR2W-108158     -5.619533     56.37413             25
+#> 10435  VR2W-108158     -5.619533     56.37413             25
+#> 10436 VR2AR-546585     -5.623995     56.37436             75
+#> 10437  VR2W-108158     -5.619533     56.37413             25
+#> 10438  VR2W-108158     -5.619533     56.37413             25
+#> 10439  VR2W-108158     -5.619533     56.37413             25
+#> 10440 VR2AR-546585     -5.623995     56.37436             75
+#> 10441  VR2W-108158     -5.619533     56.37413             25
+#> 10442 VR2AR-546585     -5.623995     56.37436             75
+#> 10443  VR2W-108158     -5.619533     56.37413             25
+#> 10444 VR2AR-546585     -5.623995     56.37436             75
+#> 10445  VR2W-108158     -5.619533     56.37413             25
+#> 10446 VR2AR-546585     -5.623995     56.37436             75
+#> 10447  VR2W-108158     -5.619533     56.37413             25
+#> 10448  VR2W-108158     -5.619533     56.37413             25
+#> 10449 VR2AR-546585     -5.623995     56.37436             75
+#> 10450 VR2AR-546585     -5.623995     56.37436             75
+#> 10451 VR2AR-546585     -5.623995     56.37436             75
+#> 10452 VR2AR-546585     -5.623995     56.37436             75
+#> 10453 VR2AR-546585     -5.623995     56.37436             75
+#> 10454 VR2AR-546585     -5.623995     56.37436             75
+#> 10455  VR2W-108158     -5.619533     56.37413             25
+#> 10456 VR2AR-546131     -5.612700     56.37988             35
+#> 10457 VR2AR-546131     -5.612700     56.37988             35
+#> 10458 VR2AR-546131     -5.612700     56.37988             35
+#> 10459 VR2AR-546131     -5.612700     56.37988             35
+#> 10460 VR2AR-546131     -5.612700     56.37988             35
+#> 10461 VR2AR-546131     -5.612700     56.37988             35
+#> 10462 VR2AR-546131     -5.612700     56.37988             35
+#> 10463 VR2AR-546131     -5.612700     56.37988             35
+#> 10464 VR2AR-546131     -5.612700     56.37988             35
+#> 10465 VR2AR-546131     -5.612700     56.37988             35
+#> 10466 VR2AR-546131     -5.612700     56.37988             35
+#> 10467 VR2AR-546131     -5.612700     56.37988             35
+#> 10468 VR2AR-546131     -5.612700     56.37988             35
+#> 10469 VR2AR-546131     -5.612700     56.37988             35
+#> 10470 VR2AR-546131     -5.612700     56.37988             35
+#> 10471 VR2AR-546131     -5.612700     56.37988             35
+#> 10472 VR2AR-546131     -5.612700     56.37988             35
+#> 10473 VR2AR-546131     -5.612700     56.37988             35
+#> 10474 VR2AR-546131     -5.612700     56.37988             35
+#> 10475 VR2AR-546131     -5.612700     56.37988             35
+#> 10476 VR2AR-546131     -5.612700     56.37988             35
+#> 10477 VR2AR-546131     -5.612700     56.37988             35
+#> 10478 VR2AR-546131     -5.612700     56.37988             35
+#> 10479 VR2AR-546131     -5.612700     56.37988             35
+#> 10480 VR2AR-546131     -5.612700     56.37988             35
+#> 10481 VR2AR-546131     -5.612700     56.37988             35
+#> 10482 VR2AR-546131     -5.612700     56.37988             35
+#> 10483 VR2AR-546131     -5.612700     56.37988             35
+#> 10484 VR2AR-546131     -5.612700     56.37988             35
+#> 10485 VR2AR-546131     -5.612700     56.37988             35
+#> 10486 VR2AR-546131     -5.612700     56.37988             35
+#> 10487 VR2AR-546131     -5.612700     56.37988             35
+#> 10488 VR2AR-546131     -5.612700     56.37988             35
+#> 10489 VR2AR-546131     -5.612700     56.37988             35
+#> 10490 VR2AR-546131     -5.612700     56.37988             35
+#> 10491 VR2AR-546131     -5.612700     56.37988             35
+#> 10492 VR2AR-546131     -5.612700     56.37988             35
+#> 10493 VR2AR-546131     -5.612700     56.37988             35
+#> 10494 VR2AR-546131     -5.612700     56.37988             35
+#> 10495 VR2AR-546131     -5.612700     56.37988             35
+#> 10496 VR2AR-546131     -5.612700     56.37988             35
+#> 10497 VR2AR-546131     -5.612700     56.37988             35
+#> 10498 VR2AR-546131     -5.612700     56.37988             35
+#> 10499 VR2AR-546131     -5.612700     56.37988             35
+#> 10500 VR2AR-546131     -5.612700     56.37988             35
+#> 10501 VR2AR-546131     -5.612700     56.37988             35
+#> 10502 VR2AR-546584     -5.604973     56.37774             30
+#> 10503 VR2AR-546131     -5.612700     56.37988             35
+#> 10504 VR2AR-546584     -5.604973     56.37774             30
+#> 10505 VR2AR-546131     -5.612700     56.37988             35
+#> 10506 VR2AR-546584     -5.604973     56.37774             30
+#> 10507 VR2AR-546131     -5.612700     56.37988             35
+#> 10508 VR2AR-546131     -5.612700     56.37988             35
+#> 10509 VR2AR-546584     -5.604973     56.37774             30
+#> 10510 VR2AR-546584     -5.604973     56.37774             30
+#> 10511 VR2AR-546131     -5.612700     56.37988             35
+#> 10512 VR2AR-546131     -5.612700     56.37988             35
+#> 10513 VR2AR-546584     -5.604973     56.37774             30
+#> 10514 VR2AR-546131     -5.612700     56.37988             35
+#> 10515 VR2AR-546131     -5.612700     56.37988             35
+#> 10516 VR2AR-546584     -5.604973     56.37774             30
+#> 10517 VR2AR-546131     -5.612700     56.37988             35
+#> 10518 VR2AR-546584     -5.604973     56.37774             30
+#> 10519 VR2AR-546584     -5.604973     56.37774             30
+#> 10520 VR2AR-546131     -5.612700     56.37988             35
+#> 10521 VR2AR-546584     -5.604973     56.37774             30
+#> 10522 VR2AR-546131     -5.612700     56.37988             35
+#> 10523 VR2AR-546131     -5.612700     56.37988             35
+#> 10524 VR2AR-546584     -5.604973     56.37774             30
+#> 10525 VR2AR-546584     -5.604973     56.37774             30
+#> 10526 VR2AR-546131     -5.612700     56.37988             35
+#> 10527 VR2AR-546131     -5.612700     56.37988             35
+#> 10528 VR2AR-546584     -5.604973     56.37774             30
+#> 10529 VR2AR-546131     -5.612700     56.37988             35
+#> 10530 VR2AR-546584     -5.604973     56.37774             30
+#> 10531 VR2AR-546131     -5.612700     56.37988             35
+#> 10532 VR2AR-546131     -5.612700     56.37988             35
+#> 10533 VR2AR-546584     -5.604973     56.37774             30
+#> 10534 VR2AR-546584     -5.604973     56.37774             30
+#> 10535 VR2AR-546131     -5.612700     56.37988             35
+#> 10536 VR2AR-546131     -5.612700     56.37988             35
+#> 10537 VR2AR-546584     -5.604973     56.37774             30
+#> 10538 VR2AR-546584     -5.604973     56.37774             30
+#> 10539 VR2AR-546131     -5.612700     56.37988             35
+#> 10540 VR2AR-546131     -5.612700     56.37988             35
+#> 10541 VR2AR-546584     -5.604973     56.37774             30
+#> 10542 VR2AR-546131     -5.612700     56.37988             35
+#> 10543 VR2AR-546131     -5.612700     56.37988             35
+#> 10544 VR2AR-546131     -5.612700     56.37988             35
+#> 10545 VR2AR-546131     -5.612700     56.37988             35
+#> 10546 VR2AR-546131     -5.612700     56.37988             35
+#> 10547 VR2AR-546131     -5.612700     56.37988             35
+#> 10548 VR2AR-546131     -5.612700     56.37988             35
+#> 10549 VR2AR-546131     -5.612700     56.37988             35
+#> 10550 VR2AR-546131     -5.612700     56.37988             35
+#> 10551 VR2AR-546131     -5.612700     56.37988             35
+#> 10552 VR2AR-546131     -5.612700     56.37988             35
+#> 10553 VR2AR-546131     -5.612700     56.37988             35
+#> 10554 VR2AR-546131     -5.612700     56.37988             35
+#> 10555 VR2AR-546131     -5.612700     56.37988             35
+#> 10556 VR2AR-546131     -5.612700     56.37988             35
+#> 10557 VR2AR-546134     -5.643867     56.38278            145
+#> 10558 VR2AR-546134     -5.643867     56.38278            145
+#> 10559 VR2AR-546134     -5.643867     56.38278            145
+#> 10560 VR2AR-546134     -5.643867     56.38278            145
+#> 10561 VR2AR-546134     -5.643867     56.38278            145
+#> 10562 VR2AR-546134     -5.643867     56.38278            145
+#> 10563 VR2AR-546134     -5.643867     56.38278            145
+#> 10564 VR2AR-546134     -5.643867     56.38278            145
+#> 10565 VR2AR-546134     -5.643867     56.38278            145
+#> 10566 VR2AR-546134     -5.643867     56.38278            145
+#> 10567 VR2AR-546134     -5.643867     56.38278            145
+#> 10568 VR2AR-546134     -5.643867     56.38278            145
+#> 10569 VR2AR-546134     -5.643867     56.38278            145
+#> 10570 VR2AR-546134     -5.643867     56.38278            145
+#> 10571 VR2AR-546134     -5.643867     56.38278            145
+#> 10572 VR2AR-546134     -5.643867     56.38278            145
+#> 10573 VR2AR-546134     -5.643867     56.38278            145
+#> 10574 VR2AR-546134     -5.643867     56.38278            145
+#> 10575 VR2AR-546134     -5.643867     56.38278            145
+#> 10576 VR2AR-546134     -5.643867     56.38278            145
+#> 10577 VR2AR-546134     -5.643867     56.38278            145
+#> 10578 VR2AR-546134     -5.643867     56.38278            145
+#> 10579 VR2AR-546134     -5.643867     56.38278            145
+#> 10580 VR2AR-546134     -5.643867     56.38278            145
+#> 10581 VR2AR-546135     -5.657067     56.38803             85
+#> 10582 VR2AR-546135     -5.657067     56.38803             85
+#> 10583 VR2AR-546135     -5.657067     56.38803             85
+#> 10584 VR2AR-546380     -5.637917     56.44800             25
+#> 10585 VR2AR-546380     -5.637917     56.44800             25
+#> 10586 VR2AR-546380     -5.637917     56.44800             25
+#> 10587 VR2AR-546380     -5.637917     56.44800             25
+#> 10588 VR2AR-546380     -5.637917     56.44800             25
+#> 10589 VR2AR-546380     -5.637917     56.44800             25
+#> 10590 VR2AR-546380     -5.637917     56.44800             25
+#> 10591 VR2AR-546380     -5.637917     56.44800             25
+#> 10592 VR2AR-546380     -5.637917     56.44800             25
+#> 10593 VR2AR-546380     -5.637917     56.44800             25
+#> 10594 VR2AR-546380     -5.637917     56.44800             25
+#> 10595 VR2AR-546380     -5.637917     56.44800             25
+#> 10596 VR2AR-546380     -5.637917     56.44800             25
+#> 10597 VR2AR-546380     -5.637917     56.44800             25
+#> 10598 VR2AR-546380     -5.637917     56.44800             25
+#> 10599 VR2AR-546380     -5.637917     56.44800             25
+#> 10600 VR2AR-546380     -5.637917     56.44800             25
+#> 10601 VR2AR-546380     -5.637917     56.44800             25
+#> 10602 VR2AR-546586     -5.707092     56.49447             20
+#> 10603 VR2AR-546133     -5.701717     56.49747             90
+#> 10604 VR2AR-546133     -5.701717     56.49747             90
+#> 10605 VR2AR-546586     -5.707092     56.49447             20
+#> 10606 VR2AR-546586     -5.707092     56.49447             20
+#> 10607 VR2AR-546586     -5.707092     56.49447             20
+#> 10608 VR2AR-546133     -5.701717     56.49747             90
+#> 10609 VR2AR-546586     -5.707092     56.49447             20
+#> 10610 VR2AR-546586     -5.707092     56.49447             20
+#> 10611 VR2AR-546586     -5.707092     56.49447             20
+#> 10612 VR2AR-546586     -5.707092     56.49447             20
+#> 10613 VR2AR-546133     -5.701717     56.49747             90
+#> 10614 VR2AR-546586     -5.707092     56.49447             20
+#> 10615 VR2AR-546133     -5.701717     56.49747             90
+#> 10616 VR2AR-546586     -5.707092     56.49447             20
+#> 10617 VR2AR-546586     -5.707092     56.49447             20
+#> 10618 VR2AR-546133     -5.701717     56.49747             90
+#> 10619 VR2AR-546586     -5.707092     56.49447             20
+#> 10620 VR2AR-546133     -5.701717     56.49747             90
+#> 10621 VR2AR-546586     -5.707092     56.49447             20
+#> 10622 VR2AR-546586     -5.707092     56.49447             20
+#> 10623 VR2AR-546586     -5.707092     56.49447             20
+#> 10624 VR2AR-546133     -5.701717     56.49747             90
+#> 10625 VR2AR-546586     -5.707092     56.49447             20
+#> 10626 VR2AR-546133     -5.701717     56.49747             90
+#> 10627 VR2AR-546133     -5.701717     56.49747             90
+#> 10628 VR2AR-546133     -5.701717     56.49747             90
+#> 10629 VR2AR-546133     -5.701717     56.49747             90
+#> 10630 VR2AR-546133     -5.701717     56.49747             90
+#> 10631 VR2AR-546133     -5.701717     56.49747             90
+#> 10632 VR2AR-546133     -5.701717     56.49747             90
+#> 10633 VR2AR-546133     -5.701717     56.49747             90
+#> 10634 VR2AR-546586     -5.707092     56.49447             20
+#> 10635 VR2AR-546586     -5.707092     56.49447             20
+#> 10636 VR2AR-546586     -5.707092     56.49447             20
+#> 10637 VR2AR-546133     -5.701717     56.49747             90
+#> 10638 VR2AR-546586     -5.707092     56.49447             20
+#> 10639 VR2AR-546586     -5.707092     56.49447             20
+#> 10640 VR2AR-546133     -5.701717     56.49747             90
+#> 10641 VR2AR-546586     -5.707092     56.49447             20
+#> 10642 VR2AR-546586     -5.707092     56.49447             20
+#> 10643 VR2AR-546586     -5.707092     56.49447             20
+#> 10644 VR2AR-546586     -5.707092     56.49447             20
+#> 10645 VR2AR-546586     -5.707092     56.49447             20
+#> 10646 VR2AR-546133     -5.701717     56.49747             90
+#> 10647 VR2AR-546586     -5.707092     56.49447             20
+#> 10648 VR2AR-546586     -5.707092     56.49447             20
+#> 10649 VR2AR-546586     -5.707092     56.49447             20
+#> 10650 VR2AR-546586     -5.707092     56.49447             20
+#> 10651 VR2AR-546586     -5.707092     56.49447             20
+#> 10652 VR2AR-546586     -5.707092     56.49447             20
+#> 10653 VR2AR-546586     -5.707092     56.49447             20
+#> 10654 VR2AR-546586     -5.707092     56.49447             20
+#> 10655 VR2AR-546586     -5.707092     56.49447             20
+#> 10656 VR2AR-546380     -5.637917     56.44800             25
+#> 10657 VR2AR-546380     -5.637917     56.44800             25
+#> 10658 VR2AR-546380     -5.637917     56.44800             25
+#> 10659 VR2AR-546380     -5.637917     56.44800             25
+#> 10660 VR2AR-546380     -5.637917     56.44800             25
+#> 10661 VR2AR-546380     -5.637917     56.44800             25
+#> 10662 VR2AR-546380     -5.637917     56.44800             25
+#> 10663 VR2AR-546380     -5.637917     56.44800             25
+#> 10664 VR2AR-546380     -5.637917     56.44800             25
+#> 10665 VR2AR-546380     -5.637917     56.44800             25
+#> 10666 VR2AR-546380     -5.637917     56.44800             25
+#> 10667 VR2AR-546380     -5.637917     56.44800             25
+#> 10668 VR2AR-546380     -5.637917     56.44800             25
+#> 10669 VR2AR-546380     -5.637917     56.44800             25
+#> 10670 VR2AR-546380     -5.637917     56.44800             25
+#> 10671 VR2AR-546380     -5.637917     56.44800             25
+#> 10672 VR2AR-546380     -5.637917     56.44800             25
+#> 10673 VR2AR-546380     -5.637917     56.44800             25
+#> 10674 VR2AR-546380     -5.637917     56.44800             25
+#> 10675 VR2AR-546380     -5.637917     56.44800             25
+#> 10676 VR2AR-546380     -5.637917     56.44800             25
+#> 10677 VR2AR-546380     -5.637917     56.44800             25
+#> 10678 VR2AR-546380     -5.637917     56.44800             25
+#> 10679 VR2AR-546380     -5.637917     56.44800             25
+#> 10680 VR2AR-546380     -5.637917     56.44800             25
+#> 10681 VR2AR-546380     -5.637917     56.44800             25
+#> 10682 VR2AR-546134     -5.643867     56.38278            145
+#> 10683 VR2AR-546134     -5.643867     56.38278            145
+#> 10684 VR2AR-546134     -5.643867     56.38278            145
+#> 10685 VR2AR-546134     -5.643867     56.38278            145
+#> 10686 VR2AR-546134     -5.643867     56.38278            145
+#> 10687 VR2AR-546134     -5.643867     56.38278            145
+#> 10688 VR2AR-546134     -5.643867     56.38278            145
+#> 10689 VR2AR-546134     -5.643867     56.38278            145
+#> 10690 VR2AR-546134     -5.643867     56.38278            145
+#> 10691 VR2AR-546134     -5.643867     56.38278            145
+#> 10692 VR2AR-546134     -5.643867     56.38278            145
+#> 10693 VR2AR-546134     -5.643867     56.38278            145
+#> 10694 VR2AR-546134     -5.643867     56.38278            145
+#> 10695 VR2AR-546131     -5.612700     56.37988             35
+#> 10696 VR2AR-546131     -5.612700     56.37988             35
+#> 10697 VR2AR-546131     -5.612700     56.37988             35
+#> 10698 VR2AR-546131     -5.612700     56.37988             35
+#> 10699 VR2AR-546131     -5.612700     56.37988             35
+#> 10700 VR2AR-546131     -5.612700     56.37988             35
+#> 10701 VR2AR-546131     -5.612700     56.37988             35
+#> 10702 VR2AR-546131     -5.612700     56.37988             35
+#> 10703 VR2AR-546131     -5.612700     56.37988             35
+#> 10704 VR2AR-546131     -5.612700     56.37988             35
+#> 10705 VR2AR-546131     -5.612700     56.37988             35
+#> 10706 VR2AR-546131     -5.612700     56.37988             35
+#> 10707 VR2AR-546131     -5.612700     56.37988             35
+#> 10708 VR2AR-546131     -5.612700     56.37988             35
+#> 10709 VR2AR-546131     -5.612700     56.37988             35
+#> 10710 VR2AR-546131     -5.612700     56.37988             35
+#> 10711 VR2AR-546131     -5.612700     56.37988             35
+#> 10712 VR2AR-546131     -5.612700     56.37988             35
+#> 10713 VR2AR-546131     -5.612700     56.37988             35
+#> 10714 VR2AR-546131     -5.612700     56.37988             35
+#> 10715 VR2AR-546131     -5.612700     56.37988             35
+#> 10716 VR2AR-546131     -5.612700     56.37988             35
+#> 10717 VR2AR-546131     -5.612700     56.37988             35
+#> 10718 VR2AR-546131     -5.612700     56.37988             35
+#> 10719 VR2AR-546131     -5.612700     56.37988             35
+#> 10720 VR2AR-546131     -5.612700     56.37988             35
+#> 10721 VR2AR-546131     -5.612700     56.37988             35
+#> 10722 VR2AR-546131     -5.612700     56.37988             35
+#> 10723 VR2AR-546131     -5.612700     56.37988             35
+#> 10724 VR2AR-546131     -5.612700     56.37988             35
+#> 10725 VR2AR-546131     -5.612700     56.37988             35
+#> 10726 VR2AR-546131     -5.612700     56.37988             35
+#> 10727 VR2AR-546131     -5.612700     56.37988             35
+#> 10728 VR2AR-546131     -5.612700     56.37988             35
+#> 10729 VR2AR-546131     -5.612700     56.37988             35
+#> 10730 VR2AR-546131     -5.612700     56.37988             35
+#> 10731 VR2AR-546131     -5.612700     56.37988             35
+#> 10732 VR2AR-546131     -5.612700     56.37988             35
+#> 10733 VR2AR-546131     -5.612700     56.37988             35
+#> 10734 VR2AR-546131     -5.612700     56.37988             35
+#> 10735 VR2AR-546131     -5.612700     56.37988             35
+#> 10736 VR2AR-546131     -5.612700     56.37988             35
+#> 10737 VR2AR-546131     -5.612700     56.37988             35
+#> 10738 VR2AR-546131     -5.612700     56.37988             35
+#> 10739 VR2AR-546131     -5.612700     56.37988             35
+#> 10740 VR2AR-546131     -5.612700     56.37988             35
+#> 10741 VR2AR-546131     -5.612700     56.37988             35
+#> 10742 VR2AR-546131     -5.612700     56.37988             35
+#> 10743 VR2AR-546131     -5.612700     56.37988             35
+#> 10744 VR2AR-546131     -5.612700     56.37988             35
+#> 10745 VR2AR-546131     -5.612700     56.37988             35
+#> 10746 VR2AR-546131     -5.612700     56.37988             35
+#> 10747 VR2AR-546131     -5.612700     56.37988             35
+#> 10748 VR2AR-546131     -5.612700     56.37988             35
+#> 10749 VR2AR-546131     -5.612700     56.37988             35
+#> 10750 VR2AR-546131     -5.612700     56.37988             35
+#> 10751 VR2AR-546131     -5.612700     56.37988             35
+#> 10752 VR2AR-546131     -5.612700     56.37988             35
+#> 10753 VR2AR-546131     -5.612700     56.37988             35
+#> 10754 VR2AR-546131     -5.612700     56.37988             35
+#> 10755 VR2AR-546131     -5.612700     56.37988             35
+#> 10756 VR2AR-546131     -5.612700     56.37988             35
+#> 10757 VR2AR-546131     -5.612700     56.37988             35
+#> 10758 VR2AR-546131     -5.612700     56.37988             35
+#> 10759 VR2AR-546131     -5.612700     56.37988             35
+#> 10760 VR2AR-546131     -5.612700     56.37988             35
+#> 10761 VR2AR-546131     -5.612700     56.37988             35
+#> 10762 VR2AR-546131     -5.612700     56.37988             35
+#> 10763 VR2AR-546131     -5.612700     56.37988             35
+#> 10764 VR2AR-546131     -5.612700     56.37988             35
+#> 10765 VR2AR-546131     -5.612700     56.37988             35
+#> 10766 VR2AR-546131     -5.612700     56.37988             35
+#> 10767 VR2AR-546131     -5.612700     56.37988             35
+#> 10768 VR2AR-546131     -5.612700     56.37988             35
+#> 10769 VR2AR-546131     -5.612700     56.37988             35
+#> 10770 VR2AR-546131     -5.612700     56.37988             35
+#> 10771 VR2AR-546131     -5.612700     56.37988             35
+#> 10772 VR2AR-546131     -5.612700     56.37988             35
+#> 10773 VR2AR-546131     -5.612700     56.37988             35
+#> 10774 VR2AR-546131     -5.612700     56.37988             35
+#> 10775 VR2AR-546131     -5.612700     56.37988             35
+#> 10776 VR2AR-546131     -5.612700     56.37988             35
+#> 10777 VR2AR-546131     -5.612700     56.37988             35
+#> 10778 VR2AR-546131     -5.612700     56.37988             35
+#> 10779 VR2AR-546131     -5.612700     56.37988             35
+#> 10780 VR2AR-546131     -5.612700     56.37988             35
+#> 10781 VR2AR-546131     -5.612700     56.37988             35
+#> 10782 VR2AR-546131     -5.612700     56.37988             35
+#> 10783 VR2AR-546131     -5.612700     56.37988             35
+#> 10784 VR2AR-546131     -5.612700     56.37988             35
+#> 10785 VR2AR-546131     -5.612700     56.37988             35
+#> 10786 VR2AR-546131     -5.612700     56.37988             35
+#> 10787 VR2AR-546131     -5.612700     56.37988             35
+#> 10788 VR2AR-546131     -5.612700     56.37988             35
+#> 10789 VR2AR-546131     -5.612700     56.37988             35
+#> 10790 VR2AR-546131     -5.612700     56.37988             35
+#> 10791 VR2AR-546131     -5.612700     56.37988             35
+#> 10792 VR2AR-546131     -5.612700     56.37988             35
+#> 10793 VR2AR-546131     -5.612700     56.37988             35
+#> 10794 VR2AR-546131     -5.612700     56.37988             35
+#> 10795 VR2AR-546131     -5.612700     56.37988             35
+#> 10796 VR2AR-546131     -5.612700     56.37988             35
+#> 10797 VR2AR-546131     -5.612700     56.37988             35
+#> 10798 VR2AR-546131     -5.612700     56.37988             35
+#> 10799 VR2AR-546131     -5.612700     56.37988             35
+#> 10800 VR2AR-546131     -5.612700     56.37988             35
+#> 10801 VR2AR-546131     -5.612700     56.37988             35
+#> 10802 VR2AR-546131     -5.612700     56.37988             35
+#> 10803 VR2AR-546131     -5.612700     56.37988             35
+#> 10804 VR2AR-546131     -5.612700     56.37988             35
+#> 10805 VR2AR-546131     -5.612700     56.37988             35
+#> 10806 VR2AR-546131     -5.612700     56.37988             35
+#> 10807 VR2AR-546131     -5.612700     56.37988             35
+#> 10808 VR2AR-546584     -5.604973     56.37774             30
+#> 10809 VR2AR-546131     -5.612700     56.37988             35
+#> 10810 VR2AR-546131     -5.612700     56.37988             35
+#> 10811 VR2AR-546131     -5.612700     56.37988             35
+#> 10812 VR2AR-546584     -5.604973     56.37774             30
+#> 10813 VR2AR-546584     -5.604973     56.37774             30
+#> 10814 VR2AR-546131     -5.612700     56.37988             35
+#> 10815 VR2AR-546131     -5.612700     56.37988             35
+#> 10816 VR2AR-546584     -5.604973     56.37774             30
+#> 10817 VR2AR-546584     -5.604973     56.37774             30
+#> 10818 VR2AR-546584     -5.604973     56.37774             30
+#> 10819 VR2AR-546131     -5.612700     56.37988             35
+#> 10820 VR2AR-546584     -5.604973     56.37774             30
+#> 10821 VR2AR-546584     -5.604973     56.37774             30
+#> 10822 VR2AR-546584     -5.604973     56.37774             30
+#> 10823 VR2AR-546584     -5.604973     56.37774             30
+#> 10824 VR2AR-546584     -5.604973     56.37774             30
+#> 10825 VR2AR-546584     -5.604973     56.37774             30
+#> 10826 VR2AR-546584     -5.604973     56.37774             30
+#> 10827 VR2AR-546584     -5.604973     56.37774             30
+#> 10828 VR2AR-546131     -5.612700     56.37988             35
+#> 10829 VR2AR-546131     -5.612700     56.37988             35
+#> 10830 VR2AR-546584     -5.604973     56.37774             30
+#> 10831 VR2AR-546131     -5.612700     56.37988             35
+#> 10832 VR2AR-546131     -5.612700     56.37988             35
+#> 10833 VR2AR-546131     -5.612700     56.37988             35
+#> 10834 VR2AR-546131     -5.612700     56.37988             35
+#> 10835 VR2AR-546131     -5.612700     56.37988             35
+#> 10836 VR2AR-546131     -5.612700     56.37988             35
+#> 10837 VR2AR-546131     -5.612700     56.37988             35
+#> 10838 VR2AR-546584     -5.604973     56.37774             30
+#> 10839 VR2AR-546131     -5.612700     56.37988             35
+#> 10840 VR2AR-546584     -5.604973     56.37774             30
+#> 10841 VR2AR-546131     -5.612700     56.37988             35
+#> 10842 VR2AR-546131     -5.612700     56.37988             35
+#> 10843 VR2AR-546584     -5.604973     56.37774             30
+#> 10844 VR2AR-546584     -5.604973     56.37774             30
+#> 10845 VR2AR-546131     -5.612700     56.37988             35
+#> 10846 VR2AR-546584     -5.604973     56.37774             30
+#> 10847 VR2AR-546131     -5.612700     56.37988             35
+#> 10848 VR2AR-546131     -5.612700     56.37988             35
+#> 10849 VR2AR-546131     -5.612700     56.37988             35
+#> 10850 VR2AR-546584     -5.604973     56.37774             30
+#> 10851 VR2AR-546131     -5.612700     56.37988             35
+#> 10852 VR2AR-546131     -5.612700     56.37988             35
+#> 10853 VR2AR-546131     -5.612700     56.37988             35
+#> 10854 VR2AR-546131     -5.612700     56.37988             35
+#> 10855 VR2AR-546131     -5.612700     56.37988             35
+#> 10856 VR2AR-546131     -5.612700     56.37988             35
+#> 10857 VR2AR-546131     -5.612700     56.37988             35
+#> 10858 VR2AR-546131     -5.612700     56.37988             35
+#> 10859 VR2AR-546131     -5.612700     56.37988             35
+#> 10860 VR2AR-546131     -5.612700     56.37988             35
+#> 10861 VR2AR-546584     -5.604973     56.37774             30
+#> 10862 VR2AR-546131     -5.612700     56.37988             35
+#> 10863 VR2AR-546584     -5.604973     56.37774             30
+#> 10864 VR2AR-546131     -5.612700     56.37988             35
+#> 10865 VR2AR-546131     -5.612700     56.37988             35
+#> 10866 VR2AR-546131     -5.612700     56.37988             35
+#> 10867 VR2AR-546131     -5.612700     56.37988             35
+#> 10868 VR2AR-546131     -5.612700     56.37988             35
+#> 10869 VR2AR-546131     -5.612700     56.37988             35
+#> 10870 VR2AR-546131     -5.612700     56.37988             35
+#> 10871 VR2AR-546131     -5.612700     56.37988             35
+#> 10872 VR2AR-546131     -5.612700     56.37988             35
+#> 10873 VR2AR-546131     -5.612700     56.37988             35
+#> 10874 VR2AR-546131     -5.612700     56.37988             35
+#> 10875 VR2AR-546131     -5.612700     56.37988             35
+#> 10876 VR2AR-546131     -5.612700     56.37988             35
+#> 10877 VR2AR-546584     -5.604973     56.37774             30
+#> 10878 VR2AR-546131     -5.612700     56.37988             35
+#> 10879 VR2AR-546584     -5.604973     56.37774             30
+#> 10880 VR2AR-546131     -5.612700     56.37988             35
+#> 10881 VR2AR-546131     -5.612700     56.37988             35
+#> 10882 VR2AR-546131     -5.612700     56.37988             35
+#> 10883 VR2AR-546584     -5.604973     56.37774             30
+#> 10884 VR2AR-546131     -5.612700     56.37988             35
+#> 10885 VR2AR-546131     -5.612700     56.37988             35
+#> 10886 VR2AR-546584     -5.604973     56.37774             30
+#> 10887 VR2AR-546584     -5.604973     56.37774             30
+#> 10888 VR2AR-546131     -5.612700     56.37988             35
+#> 10889 VR2AR-546131     -5.612700     56.37988             35
+#> 10890 VR2AR-546131     -5.612700     56.37988             35
+#> 10891 VR2AR-546131     -5.612700     56.37988             35
+#> 10892 VR2AR-546131     -5.612700     56.37988             35
+#> 10893 VR2AR-546131     -5.612700     56.37988             35
+#> 10894 VR2AR-546131     -5.612700     56.37988             35
+#> 10895 VR2AR-546131     -5.612700     56.37988             35
+#> 10896 VR2AR-546131     -5.612700     56.37988             35
+#> 10897 VR2AR-546131     -5.612700     56.37988             35
+#> 10898 VR2AR-546131     -5.612700     56.37988             35
+#> 10899 VR2AR-546131     -5.612700     56.37988             35
+#> 10900 VR2AR-546131     -5.612700     56.37988             35
+#> 10901 VR2AR-546585     -5.623995     56.37436             75
+#> 10902 VR2AR-546585     -5.623995     56.37436             75
+#> 10903 VR2AR-546585     -5.623995     56.37436             75
+#> 10904  VR2W-108160     -5.631733     56.37447             50
+#> 10905 VR2AR-546585     -5.623995     56.37436             75
+#> 10906  VR2W-108160     -5.631733     56.37447             50
+#> 10907 VR2AR-546585     -5.623995     56.37436             75
+#> 10908  VR2W-108160     -5.631733     56.37447             50
+#> 10909 VR2AR-546585     -5.623995     56.37436             75
+#> 10910 VR2AR-546585     -5.623995     56.37436             75
+#> 10911 VR2AR-546585     -5.623995     56.37436             75
+#> 10912 VR2AR-546585     -5.623995     56.37436             75
+#> 10913 VR2AR-546585     -5.623995     56.37436             75
+#> 10914  VR2W-108160     -5.631733     56.37447             50
+#> 10915 VR2AR-546585     -5.623995     56.37436             75
+#> 10916  VR2W-108160     -5.631733     56.37447             50
+#> 10917 VR2AR-546585     -5.623995     56.37436             75
+#> 10918  VR2W-108160     -5.631733     56.37447             50
+#> 10919  VR2W-108160     -5.631733     56.37447             50
+#> 10920  VR2W-108160     -5.631733     56.37447             50
+#> 10921 VR2AR-546134     -5.643867     56.38278            145
+#> 10922 VR2AR-546134     -5.643867     56.38278            145
+#> 10923 VR2AR-546134     -5.643867     56.38278            145
+#> 10924 VR2AR-546134     -5.643867     56.38278            145
+#> 10925 VR2AR-546134     -5.643867     56.38278            145
+#> 10926 VR2AR-546134     -5.643867     56.38278            145
+#> 10927 VR2AR-546134     -5.643867     56.38278            145
+#> 10928 VR2AR-546134     -5.643867     56.38278            145
+#> 10929 VR2AR-546134     -5.643867     56.38278            145
+#> 10930 VR2AR-546134     -5.643867     56.38278            145
+#> 10931 VR2AR-546134     -5.643867     56.38278            145
+#> 10932 VR2AR-546134     -5.643867     56.38278            145
+#> 10933 VR2AR-546134     -5.643867     56.38278            145
+#> 10934 VR2AR-546134     -5.643867     56.38278            145
+#> 10935 VR2AR-546134     -5.643867     56.38278            145
+#> 10936 VR2AR-546135     -5.657067     56.38803             85
+#> 10937 VR2AR-546135     -5.657067     56.38803             85
+#> 10938 VR2AR-546135     -5.657067     56.38803             85
+#> 10939 VR2AR-546135     -5.657067     56.38803             85
+#> 10940 VR2AR-546135     -5.657067     56.38803             85
+#> 10941 VR2AR-546135     -5.657067     56.38803             85
+#> 10942 VR2AR-546135     -5.657067     56.38803             85
+#> 10943 VR2AR-546135     -5.657067     56.38803             85
+#> 10944 VR2AR-546135     -5.657067     56.38803             85
+#> 10945 VR2AR-546135     -5.657067     56.38803             85
+#> 10946 VR2AR-546135     -5.657067     56.38803             85
+#> 10947 VR2AR-546135     -5.657067     56.38803             85
+#> 10948 VR2AR-546135     -5.657067     56.38803             85
+#> 10949 VR2AR-546135     -5.657067     56.38803             85
+#> 10950 VR2AR-546135     -5.657067     56.38803             85
+#> 10951 VR2AR-546135     -5.657067     56.38803             85
+#> 10952 VR2AR-546135     -5.657067     56.38803             85
+#> 10953 VR2AR-546380     -5.637917     56.44800             25
+#> 10954 VR2AR-546380     -5.637917     56.44800             25
+#> 10955 VR2AR-546380     -5.637917     56.44800             25
+#> 10956 VR2AR-546380     -5.637917     56.44800             25
+#> 10957 VR2AR-546380     -5.637917     56.44800             25
+#> 10958 VR2AR-546380     -5.637917     56.44800             25
+#> 10959 VR2AR-546380     -5.637917     56.44800             25
+#> 10960 VR2AR-546380     -5.637917     56.44800             25
+#> 10961 VR2AR-546380     -5.637917     56.44800             25
+#> 10962 VR2AR-546380     -5.637917     56.44800             25
+#> 10963 VR2AR-546380     -5.637917     56.44800             25
+#> 10964 VR2AR-546380     -5.637917     56.44800             25
+#> 10965 VR2AR-546380     -5.637917     56.44800             25
+#> 10966 VR2AR-546380     -5.637917     56.44800             25
+#> 10967 VR2AR-546380     -5.637917     56.44800             25
+#> 10968 VR2AR-546380     -5.637917     56.44800             25
+#> 10969 VR2AR-546380     -5.637917     56.44800             25
+#> 10970 VR2AR-546380     -5.637917     56.44800             25
+#> 10971 VR2AR-546380     -5.637917     56.44800             25
+#> 10972 VR2AR-546380     -5.637917     56.44800             25
+#> 10973 VR2AR-546380     -5.637917     56.44800             25
+#> 10974 VR2AR-546380     -5.637917     56.44800             25
+#> 10975 VR2AR-546380     -5.637917     56.44800             25
+#> 10976 VR2AR-546380     -5.637917     56.44800             25
+#> 10977 VR2AR-546380     -5.637917     56.44800             25
+#> 10978 VR2AR-546380     -5.637917     56.44800             25
+#> 10979 VR2AR-546380     -5.637917     56.44800             25
+#> 10980 VR2AR-546380     -5.637917     56.44800             25
+#> 10981 VR2AR-546380     -5.637917     56.44800             25
+#> 10982 VR2AR-546380     -5.637917     56.44800             25
+#> 10983 VR2AR-546131     -5.612700     56.37988             35
+#> 10984 VR2AR-546131     -5.612700     56.37988             35
+#> 10985 VR2AR-546131     -5.612700     56.37988             35
+#> 10986 VR2AR-546131     -5.612700     56.37988             35
+#> 10987 VR2AR-546131     -5.612700     56.37988             35
+#> 10988 VR2AR-546131     -5.612700     56.37988             35
+#> 10989 VR2AR-546131     -5.612700     56.37988             35
+#> 10990 VR2AR-546131     -5.612700     56.37988             35
+#> 10991 VR2AR-546131     -5.612700     56.37988             35
+#> 10992 VR2AR-546131     -5.612700     56.37988             35
+#> 10993 VR2AR-546131     -5.612700     56.37988             35
+#> 10994 VR2AR-546131     -5.612700     56.37988             35
+#> 10995 VR2AR-546584     -5.604973     56.37774             30
+#> 10996 VR2AR-546131     -5.612700     56.37988             35
+#> 10997 VR2AR-546131     -5.612700     56.37988             35
+#> 10998 VR2AR-546584     -5.604973     56.37774             30
+#> 10999 VR2AR-546131     -5.612700     56.37988             35
+#> 11000 VR2AR-546131     -5.612700     56.37988             35
+#> 11001 VR2AR-546131     -5.612700     56.37988             35
+#> 11002 VR2AR-546584     -5.604973     56.37774             30
+#> 11003 VR2AR-546131     -5.612700     56.37988             35
+#> 11004 VR2AR-546584     -5.604973     56.37774             30
+#> 11005 VR2AR-546131     -5.612700     56.37988             35
+#> 11006 VR2AR-546131     -5.612700     56.37988             35
+#> 11007 VR2AR-546131     -5.612700     56.37988             35
+#> 11008 VR2AR-546131     -5.612700     56.37988             35
+#> 11009 VR2AR-546131     -5.612700     56.37988             35
+#> 11010 VR2AR-546131     -5.612700     56.37988             35
+#> 11011 VR2AR-546131     -5.612700     56.37988             35
+#> 11012 VR2AR-546131     -5.612700     56.37988             35
+#> 11013 VR2AR-546131     -5.612700     56.37988             35
+#> 11014 VR2AR-546131     -5.612700     56.37988             35
+#> 11015 VR2AR-546131     -5.612700     56.37988             35
+#> 11016 VR2AR-546131     -5.612700     56.37988             35
+#> 11017 VR2AR-546131     -5.612700     56.37988             35
+#> 11018 VR2AR-546131     -5.612700     56.37988             35
+#> 11019 VR2AR-546131     -5.612700     56.37988             35
+#> 11020 VR2AR-546131     -5.612700     56.37988             35
+#> 11021 VR2AR-546131     -5.612700     56.37988             35
+#> 11022 VR2AR-546131     -5.612700     56.37988             35
+#> 11023 VR2AR-546131     -5.612700     56.37988             35
+#> 11024 VR2AR-546131     -5.612700     56.37988             35
+#> 11025 VR2AR-546131     -5.612700     56.37988             35
+#> 11026 VR2AR-546131     -5.612700     56.37988             35
+#> 11027 VR2AR-546131     -5.612700     56.37988             35
+#> 11028 VR2AR-546131     -5.612700     56.37988             35
+#> 11029 VR2AR-546131     -5.612700     56.37988             35
+#> 11030 VR2AR-546131     -5.612700     56.37988             35
+#> 11031 VR2AR-546131     -5.612700     56.37988             35
+#> 11032 VR2AR-546131     -5.612700     56.37988             35
+#> 11033 VR2AR-546131     -5.612700     56.37988             35
+#> 11034 VR2AR-546131     -5.612700     56.37988             35
+#> 11035 VR2AR-546131     -5.612700     56.37988             35
+#> 11036 VR2AR-546131     -5.612700     56.37988             35
+#> 11037 VR2AR-546131     -5.612700     56.37988             35
+#> 11038 VR2AR-546131     -5.612700     56.37988             35
+#> 11039 VR2AR-546131     -5.612700     56.37988             35
+#> 11040 VR2AR-546131     -5.612700     56.37988             35
+#> 11041 VR2AR-546131     -5.612700     56.37988             35
+#> 11042 VR2AR-546131     -5.612700     56.37988             35
+#> 11043 VR2AR-546131     -5.612700     56.37988             35
+#> 11044 VR2AR-546131     -5.612700     56.37988             35
+#> 11045 VR2AR-546131     -5.612700     56.37988             35
+#> 11046 VR2AR-546131     -5.612700     56.37988             35
+#> 11047 VR2AR-546131     -5.612700     56.37988             35
+#> 11048 VR2AR-546131     -5.612700     56.37988             35
+#> 11049 VR2AR-546131     -5.612700     56.37988             35
+#> 11050 VR2AR-546131     -5.612700     56.37988             35
+#> 11051 VR2AR-546131     -5.612700     56.37988             35
+#> 11052 VR2AR-546131     -5.612700     56.37988             35
+#> 11053 VR2AR-546131     -5.612700     56.37988             35
+#> 11054 VR2AR-546131     -5.612700     56.37988             35
+#> 11055 VR2AR-546131     -5.612700     56.37988             35
+#> 11056 VR2AR-546131     -5.612700     56.37988             35
+#> 11057 VR2AR-546131     -5.612700     56.37988             35
+#> 11058 VR2AR-546131     -5.612700     56.37988             35
+#> 11059 VR2AR-546131     -5.612700     56.37988             35
+#> 11060 VR2AR-546131     -5.612700     56.37988             35
+#> 11061 VR2AR-546131     -5.612700     56.37988             35
+#> 11062 VR2AR-546131     -5.612700     56.37988             35
+#> 11063 VR2AR-546131     -5.612700     56.37988             35
+#> 11064 VR2AR-546131     -5.612700     56.37988             35
+#> 11065 VR2AR-546131     -5.612700     56.37988             35
+#> 11066 VR2AR-546131     -5.612700     56.37988             35
+#> 11067 VR2AR-546131     -5.612700     56.37988             35
+#> 11068 VR2AR-546131     -5.612700     56.37988             35
+#> 11069 VR2AR-546131     -5.612700     56.37988             35
+#> 11070 VR2AR-546131     -5.612700     56.37988             35
+#> 11071 VR2AR-546131     -5.612700     56.37988             35
+#> 11072 VR2AR-546131     -5.612700     56.37988             35
+#> 11073 VR2AR-546131     -5.612700     56.37988             35
+#> 11074 VR2AR-546131     -5.612700     56.37988             35
+#> 11075 VR2AR-546131     -5.612700     56.37988             35
+#> 11076 VR2AR-546131     -5.612700     56.37988             35
+#> 11077 VR2AR-546131     -5.612700     56.37988             35
+#> 11078 VR2AR-546131     -5.612700     56.37988             35
+#> 11079 VR2AR-546131     -5.612700     56.37988             35
+#> 11080 VR2AR-546131     -5.612700     56.37988             35
+#> 11081 VR2AR-546131     -5.612700     56.37988             35
+#> 11082 VR2AR-546131     -5.612700     56.37988             35
+#> 11083 VR2AR-546131     -5.612700     56.37988             35
+#> 11084 VR2AR-546131     -5.612700     56.37988             35
+#> 11085 VR2AR-546131     -5.612700     56.37988             35
+#> 11086 VR2AR-546131     -5.612700     56.37988             35
+#> 11087 VR2AR-546131     -5.612700     56.37988             35
+#> 11088 VR2AR-546131     -5.612700     56.37988             35
+#> 11089 VR2AR-546131     -5.612700     56.37988             35
+#> 11090 VR2AR-546131     -5.612700     56.37988             35
+#> 11091 VR2AR-546131     -5.612700     56.37988             35
+#> 11092 VR2AR-546584     -5.604973     56.37774             30
+#> 11093 VR2AR-546131     -5.612700     56.37988             35
+#> 11094 VR2AR-546131     -5.612700     56.37988             35
+#> 11095 VR2AR-546131     -5.612700     56.37988             35
+#> 11096 VR2AR-546584     -5.604973     56.37774             30
+#> 11097 VR2AR-546131     -5.612700     56.37988             35
+#> 11098 VR2AR-546131     -5.612700     56.37988             35
+#> 11099 VR2AR-546584     -5.604973     56.37774             30
+#> 11100 VR2AR-546584     -5.604973     56.37774             30
+#> 11101 VR2AR-546131     -5.612700     56.37988             35
+#> 11102 VR2AR-546584     -5.604973     56.37774             30
+#> 11103 VR2AR-546584     -5.604973     56.37774             30
+#> 11104 VR2AR-546131     -5.612700     56.37988             35
+#> 11105 VR2AR-546584     -5.604973     56.37774             30
+#> 11106 VR2AR-546584     -5.604973     56.37774             30
+#> 11107 VR2AR-546131     -5.612700     56.37988             35
+#> 11108 VR2AR-546131     -5.612700     56.37988             35
+#> 11109 VR2AR-546131     -5.612700     56.37988             35
+#> 11110 VR2AR-546584     -5.604973     56.37774             30
+#> 11111 VR2AR-546131     -5.612700     56.37988             35
+#>  [ reached 'max' / getOption("max.print") -- omitted 1897 rows ]
+#> 
+#> [[3]]$args$delta_t
+#> [1] "24 hours"
+#> 
+#> 
+#> 
+graphics::par(pp)
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/compact.html b/docs/reference/compact.html index b1b93f0..b574c05 100644 --- a/docs/reference/compact.html +++ b/docs/reference/compact.html @@ -1,67 +1,12 @@ - - - - - - - -Compact a list — compact • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Compact a list — compact • flapper + + - - - - -
    -
    - -
    - -
    +

    Compact a list

    - Source: R/utils.R + Source: R/utils.R
    @@ -123,46 +65,42 @@

    Compact a list

    Remove all NULL entries from a list.

    - 
    compact(l)
    - -

    Arguments

    - - - - - - -
    l

    A list.

    +
    + 
    compact(l)
    +
    -

    Source

    +
    +

    Source

    +

    This function is derived from the plyr::compact() function. The function is defined separately in flapper to reduce reliance on non-default packages.

    +
    +
    +

    Arguments

    +
    l
    +

    A list.

    -

    This function is derived from the plyr::compact() function. The function is defined separately in flapper to reduce reliance on non-default packages.

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/crop_from_click.html b/docs/reference/crop_from_click.html index 49f6d5a..101769a 100644 --- a/docs/reference/crop_from_click.html +++ b/docs/reference/crop_from_click.html @@ -1,67 +1,12 @@ - - - - - - - -Interactively crop a raster — crop_from_click • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Interactively crop a raster — crop_from_click • flapper - - + + - - -
    -
    - -
    - -
    +
    -

    Interactively crop a raster

    - Source: R/spatial_tools.R +

    Interactively crop a raster

    + Source: R/spatial_tools.R
    -

    Interactively crop a raster to a boundary box specified by mouse clicks.

    +

    Interactively crop a raster to a boundary box specified by mouse clicks.

    +
    + +
    + 
    crop_from_click(x, plot = TRUE, ...)
    - 
    crop_from_click(x, plot = TRUE, ...)
    - -

    Arguments

    - - - - - - - - - - - - - - -
    x

    A raster.

    plot

    A logical input that defines whether or not to plot x before and after cropping.

    ...

    Additional arguments passed to pretty_map to customise plots.

    - -

    Value

    - -

    The function returns a raster and, if plot = TRUE, a plot of the area before/after cropping.

    -

    Details

    - -

    The function is implemented as follows:

      -

    1. The function plots the supplied raster (x), if plot = TRUE;

      2. +
      +

      Arguments

      +
      x
      +

      A raster.

      + + +
      plot
      +

      A logical input that defines whether or not to plot x before and after cropping.

      + + +
      ...
      +

      Additional arguments passed to pretty_map to customise plots.

      + +
      +
      +

      Value

      + + +

      The function returns a raster and, if plot = TRUE, a plot of the area before/after cropping.

      +
      +
      +

      Details

      +

      The function is implemented as follows:

      1. The function plots the supplied raster (x), if plot = TRUE;

      2. Boundary coordinates delineating the area to which x should be cropped are defined by mouse clicks on the plot;

        3. -

      3. The plotted raster is cropped using the minimum and maximum x and y coordinates of mouse clicks, via crop;

        4. +

      4. The plotted raster is cropped using the minimum and maximum x and y coordinates of mouse clicks, via crop;

      5. The cropped raster is plotted, if plot = TRUE;

      6. The cropped raster is returned.

        7. -
      - -

      Author

      - +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    if(interactive()) crop_from_click(dat_gebco)
-
    +
    +

    Examples

    + 
    if(interactive()) crop_from_click(dat_gebco)
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dat_acdc.html b/docs/reference/dat_acdc.html index 9e7133b..67e5189 100644 --- a/docs/reference/dat_acdc.html +++ b/docs/reference/dat_acdc.html @@ -1,67 +1,12 @@ - - - - - - - -Example ACDC algorithm output — dat_acdc • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Example ACDC algorithm output — dat_acdc • flapper - - + + - - -
    -
    - -
    - -
    +

    Example ACDC algorithm output

    - Source: R/dats.R + Source: R/dats.R
    -

    An object of class acdc_archive-class from acdc, created by a (2-hour) chunk-wise implementation of this function. This is included principally to streamline function examples.

    +

    An object of class acdc_archive-class from acdc, created by a (2-hour) chunk-wise implementation of this function. This is included principally to streamline function examples.

    - 
    dat_acdc
    +
    + 
    dat_acdc
    +
    +
    +

    Format

    +

    A named list with 4 elements:

    archive
    +

    A list of results from calls to .acs, with one element per chunk.

    -

    Format

    +
    ts_by_chunk
    +

    A list of time series, with one element per chunk.

    -

    A named list with 4 elements:

    -
    archive

    A list of results from calls to .acs, with one element per chunk.

    -
    ts_by_chunk

    A list of time series, with one element per chunk.

    -
    time

    A dataframe that defines the times of sequential stages in the algorithm's progression.

    -
    args

    A named list of user inputs that record the parameters used to generate the outputs.

    +
    time
    +

    A dataframe that defines the times of sequential stages in the algorithm's progression.

    -
    +
    args
    +

    A named list of user inputs that record the parameters used to generate the outputs.

    -

    See also

    -

    See acdc_archive-class for further information on this S3 class.

    +
    +
    +

    See also

    +

    See acdc_archive-class for further information on this S3 class.

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dat_acoustics.html b/docs/reference/dat_acoustics.html index 18cc1af..f91889d 100644 --- a/docs/reference/dat_acoustics.html +++ b/docs/reference/dat_acoustics.html @@ -1,67 +1,12 @@ - - - - - - - -Example passive acoustic telemetry detections dataset — dat_acoustics • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Example passive acoustic telemetry detections dataset — dat_acoustics • flapper - - - - + + -
    -
    - -
    - -
    +

    Example passive acoustic telemetry detections dataset

    - Source: R/dats.R + Source: R/dats.R
    @@ -123,59 +65,75 @@

    Example passive acoustic telemetry detections dataset

    A dataset containing a sample of processed flapper skate (Dipturus intermedius) detection time series. Data are arranged by individual_id, timestamp and then receiver_id (see below).

    - 
    dat_acoustics
    +
    + 
    dat_acoustics
    +
    +
    +

    Format

    +

    A dataframe with 39,242 observations and 9 variables:

    individual_id
    +

    A unique identifier of the individual that was detected (see dat_ids).

    -

    Format

    +
    transmitter_id
    +

    The acoustic transmitter that was detected (see dat_ids).

    -

    A dataframe with 39,242 observations and 9 variables:

    -
    individual_id

    A unique identifier of the individual that was detected (see dat_ids).

    -
    transmitter_id

    The acoustic transmitter that was detected (see dat_ids).

    -
    index

    An integer individual-specific cumulative detection index.

    -
    timestamp

    A POSIXct object which defines the time of each observation.

    -
    receiver_id

    A unique identifier of the receiver at which the individual was detected (see dat_moorings).

    -
    receiver

    The receiver at which the individual was detected (see dat_moorings).

    -
    receiver_long

    The longitude of the receiver at which the individual was detected (see dat_moorings).

    -
    receiver_lat

    The latitude of the receiver at which the individual was detected (see dat_moorings).

    -
    receiver_depth

    The depth of the receiver at which the individual was detected (see dat_moorings).

    +
    index
    +

    An integer individual-specific cumulative detection index.

    -
    +
    timestamp
    +

    A POSIXct object which defines the time of each observation.

    -

    Source

    +
    receiver_id
    +

    A unique identifier of the receiver at which the individual was detected (see dat_moorings).

    -

    Data were collected by, and belong to, Marine Scotland Science and NatureScot. Data were processed by Edward Lavender. If you wish to use these data, please contact Marine Scotland Science and NatureScot for further information.

    -

    Details

    +
    receiver
    +

    The receiver at which the individual was detected (see dat_moorings).

    + +
    receiver_long
    +

    The longitude of the receiver at which the individual was detected (see dat_moorings).

    + +
    receiver_lat
    +

    The latitude of the receiver at which the individual was detected (see dat_moorings).

    -

    Time stamps are expressed to the nearest two minutes. `Duplicate' detections (of the same individual at the same receiver in the same time step) are excluded. This supports the implementation of the acoustic-container (AC) and acoustic-container depth-contour (ACDC) algorithms (see ac and acdc).

    -

    References

    +
    receiver_depth
    +

    The depth of the receiver at which the individual was detected (see dat_moorings).

    + +
    +
    +

    Source

    +

    Data were collected by, and belong to, Marine Scotland Science and NatureScot. Data were processed by Edward Lavender. If you wish to use these data, please contact Marine Scotland Science and NatureScot for further information.

    +
    +
    +

    Details

    +

    Time stamps are expressed to the nearest two minutes. `Duplicate' detections (of the same individual at the same receiver in the same time step) are excluded. This supports the implementation of the acoustic-container (AC) and acoustic-container depth-contour (ACDC) algorithms (see ac and acdc).

    +
    +
    +

    References

    Data collection and processing is described in Lavender (in prep). Fine-scale habitat use of the Critically Endangered flapper skate (Dipturus intermedius). [Doctoral dissertation, University of St Andrews].

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dat_archival.html b/docs/reference/dat_archival.html index cc53b17..8aebd22 100644 --- a/docs/reference/dat_archival.html +++ b/docs/reference/dat_archival.html @@ -1,67 +1,12 @@ - - - - - - - -Example archival dataset — dat_archival • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Example archival dataset — dat_archival • flapper - + + - - - -
    -
    - -
    - -
    +

    Example archival dataset

    - Source: R/dats.R + Source: R/dats.R
    @@ -123,52 +65,59 @@

    Example archival dataset

    A dataset containing a sample of flapper skate (Dipturus intermedius) depth (m) time series. Observations were sampled every 2 minutes using archival tags. Data are arranged by individual_id and then timestamp.

    - 
    dat_archival
    +
    + 
    dat_archival
    +
    +
    +

    Format

    +

    A dataframe with 75,000 observations and 5 variables:

    timestamp
    +

    A POSIXct object which defines the time of each observation.

    -

    Format

    +
    individual_id
    +

    A number which defines each individual (see dat_ids).

    -

    A dataframe with 75,000 observations and 5 variables:

    -
    timestamp

    A POSIXct object which defines the time of each observation.

    -
    individual_id

    A number which defines each individual (see dat_ids).

    -
    transmitter_id

    The individual's acoustic transmitter (see dat_ids).

    -
    archival_id

    The individual's archival tag (see dat_ids).

    -
    depth

    A number which defines the depth (m) of the individual at each time step.

    +
    transmitter_id
    +

    The individual's acoustic transmitter (see dat_ids).

    -
    +
    archival_id
    +

    The individual's archival tag (see dat_ids).

    -

    Source

    +
    depth
    +

    A number which defines the depth (m) of the individual at each time step.

    -

    Data were collected by, and belong to, Marine Scotland Science and NatureScot. Data were processed by Edward Lavender. If you wish to use these data, please contact Marine Scotland Science and NatureScot for further information.

    -

    References

    +
    +
    +

    Source

    +

    Data were collected by, and belong to, Marine Scotland Science and NatureScot. Data were processed by Edward Lavender. If you wish to use these data, please contact Marine Scotland Science and NatureScot for further information.

    +
    +
    +

    References

    Data collection and processing is described in Lavender (in prep). Fine-scale habitat use of the Critically Endangered flapper skate (Dipturus intermedius). [Doctoral dissertation, University of St Andrews].

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dat_coast.html b/docs/reference/dat_coast.html index be92196..f7c9634 100644 --- a/docs/reference/dat_coast.html +++ b/docs/reference/dat_coast.html @@ -1,67 +1,12 @@ - - - - - - - -The coastline around the MEFS Firth of Lorn acoustic array — dat_coast • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -The coastline around the MEFS Firth of Lorn acoustic array — dat_coast • flapper - + + - - - -
    -
    - -
    - -
    +

    The coastline around the MEFS Firth of Lorn acoustic array

    - Source: R/dats.R + Source: R/dats.R
    @@ -123,41 +65,40 @@

    The coastline around the MEFS Firth of Lorn acoustic array

    A SpatialPolygonsDataFrame delineating the coastline around a subset of acoustic receivers set up by the Movement Ecology of Flapper Skate (MEFS) project in the Firth of Lorn, off the west coast of Scotland.

    - 
    dat_coast
    - - -

    Format

    - -

    A SpatialPolygonsDataFrame (see SpatialPolygonsDataFrame-class).

    -

    Source

    +
    + 
    dat_coast
    +
    +
    +

    Format

    +

    A SpatialPolygonsDataFrame (see SpatialPolygonsDataFrame-class).

    +
    +
    +

    Source

    Data were processed from https://biogeo.ucdavis.edu/data/gadm3.6/Rsp/gadm36_GBR_0_sp.rds.

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dat_containers.html b/docs/reference/dat_containers.html index c0f5068..096a93c 100644 --- a/docs/reference/dat_containers.html +++ b/docs/reference/dat_containers.html @@ -1,67 +1,12 @@ - - - - - - - -Example detection containers from acs_setup_containers — dat_containers • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Example detection containers from acs_setup_containers — dat_containers • flapper + + - - - - -
    -
    - -
    - -
    +
    -

    Example detection containers from acs_setup_containers

    - Source: R/dats.R +

    Example detection containers from acs_setup_containers

    + Source: R/dats.R
    -

    A list of detection containers created by acs_setup_containers. This is included principally to streamline function examples.

    +

    A list of detection containers created by acs_setup_containers. This is included principally to streamline function examples.

    - 
    dat_containers
    - - -

    Format

    +
    + 
    dat_containers
    +
    -

    A list with 57 elements, one for each receiver from 1:max(dat_moorings$receiver_id). Each element contains a SpatialPolygonsDataFrame with the detection container for that receiver, under a detection range of 425 m and within the boundaries defined by dat_coast and dat_gebco.

    +
    +

    Format

    +

    A list with 57 elements, one for each receiver from 1:max(dat_moorings$receiver_id). Each element contains a SpatialPolygonsDataFrame with the detection container for that receiver, under a detection range of 425 m and within the boundaries defined by dat_coast and dat_gebco.

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dat_dc.html b/docs/reference/dat_dc.html index a961991..88b6195 100644 --- a/docs/reference/dat_dc.html +++ b/docs/reference/dat_dc.html @@ -1,67 +1,12 @@ - - - - - - - -Example DC algorithm output — dat_dc • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Example DC algorithm output — dat_dc • flapper - - + + - - -
    -
    - -
    - -
    +

    Example DC algorithm output

    - Source: R/dats.R + Source: R/dats.R
    -

    An object of class acdc_archive-class from dc created by a step-wise implementation of this function. This is included principally to streamline function examples.

    +

    An object of class acdc_archive-class from dc created by a step-wise implementation of this function. This is included principally to streamline function examples.

    - 
    dat_dc
    +
    + 
    dat_dc
    +
    +
    +

    Format

    +

    A named list with 4 elements:

    archive
    +

    A list of results from internal function calls that contain essential results, with one element per chunk.

    -

    Format

    +
    ts_by_chunk
    +

    A list of time series, with one element per chunk.

    -

    A named list with 4 elements:

    -
    archive

    A list of results from internal function calls that contain essential results, with one element per chunk.

    -
    ts_by_chunk

    A list of time series, with one element per chunk.

    -
    time

    A dataframe that defines the times of sequential stages in the algorithm's progression.

    -
    args

    A named list of user inputs that record the parameters used to generate the outputs.

    +
    time
    +

    A dataframe that defines the times of sequential stages in the algorithm's progression.

    -
    +
    args
    +

    A named list of user inputs that record the parameters used to generate the outputs.

    -

    See also

    -

    See acdc_archive-class for further information on this S3 class.

    +
    +
    +

    See also

    +

    See acdc_archive-class for further information on this S3 class.

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dat_dcpf_histories.html b/docs/reference/dat_dcpf_histories.html index fab969b..f2e598a 100644 --- a/docs/reference/dat_dcpf_histories.html +++ b/docs/reference/dat_dcpf_histories.html @@ -1,67 +1,12 @@ - - - - - - - -Example DCPF algorithm output: particle histories — dat_dcpf_histories • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Example DCPF algorithm output: particle histories — dat_dcpf_histories • flapper - - + + - - -
    -
    - -
    - -
    +

    Example DCPF algorithm output: particle histories

    - Source: R/dats.R + Source: R/dats.R
    -

    An example pf_archive-class object. This comprises a named list of results from an implementation of the depth-contour particle filtering (DCPF) algorithm (see dc and pf). The algorithm was implemented for a series of depth observations collected from flapper skate (Dipturus intermedius) off the west coast of Scotland, where the bathymetry is described by dat_gebco. The outputs include algorithm parameters and a list of dataframes that record the particles sampled at each time step. This is included principally to streamline function examples.

    +

    An example pf_archive-class object. This comprises a named list of results from an implementation of the depth-contour particle filtering (DCPF) algorithm (see dc and pf). The algorithm was implemented for a series of depth observations collected from flapper skate (Dipturus intermedius) off the west coast of Scotland, where the bathymetry is described by dat_gebco. The outputs include algorithm parameters and a list of dataframes that record the particles sampled at each time step. This is included principally to streamline function examples.

    - 
    dat_dcpf_histories
    +
    + 
    dat_dcpf_histories
    +
    +
    +

    Format

    +

    A named list, with two elements, which records the parameters used in the call to pf and the particles sampled at each time step:

    args
    +

    A named list that records the function arguments used to generate outputs.

    -

    Format

    +
    history
    +

    A list of dataframes, one for each time step, that record particle samples. Each dataframe comprises n = 10 rows and the following three columns:

    -

    A named list, with two elements, which records the parameters used in the call to pf and the particles sampled at each time step:

    -
    args

    A named list that records the function arguments used to generate outputs.

    -
    history

    A list of dataframes, one for each time step, that record particle samples. Each dataframe comprises n = 10 rows and the following three columns:

    - id_current An integer that uniquely defines each location on the bathymetry raster (bathy). + id_current An integer that uniquely defines each location on the bathymetry raster (bathy). pr_current A double that defines the probability of movement into each cell. timestep An integer that defines each time step. -
    - +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dat_dcpf_paths.html b/docs/reference/dat_dcpf_paths.html index 017cacc..5a79815 100644 --- a/docs/reference/dat_dcpf_paths.html +++ b/docs/reference/dat_dcpf_paths.html @@ -1,67 +1,12 @@ - - - - - - - -Example DCPF algorithm output: reconstructed paths — dat_dcpf_paths • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Example DCPF algorithm output: reconstructed paths — dat_dcpf_paths • flapper - - + + - - -
    -
    - -
    - -
    +

    Example DCPF algorithm output: reconstructed paths

    - Source: R/dats.R + Source: R/dats.R
    -

    An example pf_path-class object. This comprises a dataframe of movement paths reconstructed by an implementation of the depth-contour particle filtering (DCPF) algorithm (see dc and pf). The algorithm was implemented for a series of depth observations collected from flapper skate (Dipturus intermedius) off the west coast of Scotland, where the bathymetry is described by dat_gebco. The resultant particle histories (dat_dcpf_histories) were processed into this set of movement paths by pf_simplify. This dataset is included principally to streamline function examples.

    +

    An example pf_path-class object. This comprises a dataframe of movement paths reconstructed by an implementation of the depth-contour particle filtering (DCPF) algorithm (see dc and pf). The algorithm was implemented for a series of depth observations collected from flapper skate (Dipturus intermedius) off the west coast of Scotland, where the bathymetry is described by dat_gebco. The resultant particle histories (dat_dcpf_histories) were processed into this set of movement paths by pf_simplify. This dataset is included principally to streamline function examples.

    - 
    dat_dcpf_paths
    +
    + 
    dat_dcpf_paths
    +
    +
    +

    Format

    +

    A dataframe with seven columns and 180 observations that records the reconstructed paths. This contains the following columns:

    path_id
    +

    An integer that uniquely defines each path.

    -

    Format

    +
    timestep
    +

    An integer that defines each time step.

    -

    A dataframe with seven columns and 180 observations that records the reconstructed paths. This contains the following columns:

    -
    path_id

    An integer that uniquely defines each path.

    -
    timestep

    An integer that defines each time step.

    -
    cell_id

    An integer that defines the cells ID of the surface raster (over which paths were reconstructed) retained by the algorithm.

    -
    cell_x

    A double that defines the cell x coordinate.

    -
    cell_y

    A double that defines the cell y coordinate.

    -
    cell_z

    A double that defines the value of the surface raster in each cell.

    -
    cell_pr

    A double that defines the probability of movement into each cell, given immediately preceding sampled locations (or the origin).

    - -
    +
    cell_id
    +

    An integer that defines the cells ID of the surface raster (over which paths were reconstructed) retained by the algorithm.

    + +
    cell_x
    +

    A double that defines the cell x coordinate.

    + +
    cell_y
    +

    A double that defines the cell y coordinate.

    +
    cell_z
    +

    A double that defines the value of the surface raster in each cell.

    + +
    cell_pr
    +

    A double that defines the probability of movement into each cell, given immediately preceding sampled locations (or the origin).

    + + +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dat_gebco.html b/docs/reference/dat_gebco.html index 279ef3d..16d6d4c 100644 --- a/docs/reference/dat_gebco.html +++ b/docs/reference/dat_gebco.html @@ -1,67 +1,12 @@ - - - - - - - -The bathymetry around the MEFS Firth of Lorn acoustic array — dat_gebco • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -The bathymetry around the MEFS Firth of Lorn acoustic array — dat_gebco • flapper - - + + - - -
    -
    - -
    - -
    +

    The bathymetry around the MEFS Firth of Lorn acoustic array

    - Source: R/dats.R + Source: R/dats.R
    @@ -123,48 +65,52 @@

    The bathymetry around the MEFS Firth of Lorn acoustic array

    A dataset of the bathymetry (m) in an area around a subset of acoustic receivers set up by the Movement Ecology of Flapper Skate (MEFS) project in the Firth of Lorn, off the west coast of Scotland. Bathymetry data are provided by the General Bathymetric Chart of the Oceans (GEBCO).

    - 
    dat_gebco
    +
    + 
    dat_gebco
    +
    +
    +

    Format

    +

    A raster with 36 rows, 36 columns and 1296 cells, with the following properties:

    dimensions
    +

    57, 74, 4218 (nrow, ncol, ncell)

    -

    Format

    +
    resolution
    +

    257, 463 (x, y)

    -

    A raster with 36 rows, 36 columns and 1296 cells, with the following properties:

    -
    dimensions

    57, 74, 4218 (nrow, ncol, ncell)

    -
    resolution

    257, 463 (x, y)

    -
    extent

    695492.1, 714510.1, 6246657, 6273048 (xmin, xmax, ymin, ymax)

    -
    crs

    +proj=utm +zone=29 +ellps=WGS84 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs

    +
    extent
    +

    695492.1, 714510.1, 6246657, 6273048 (xmin, xmax, ymin, ymax)

    -
    +
    crs
    +

    +proj=utm +zone=29 +ellps=WGS84 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs

    -

    Source

    +
    +
    +

    Source

    GEBCO Compilation Group (2019) GEBCO 2019 Grid (doi:10.5285/836f016a-33be-6ddc-e053-6c86abc0788e)

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dat_ids.html b/docs/reference/dat_ids.html index aefdd6b..99f961b 100644 --- a/docs/reference/dat_ids.html +++ b/docs/reference/dat_ids.html @@ -1,67 +1,12 @@ - - - - - - - -Example tagged individuals dataset — dat_ids • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Example tagged individuals dataset — dat_ids • flapper - + + - - - -
    -
    - -
    - -
    +

    Example tagged individuals dataset

    - Source: R/dats.R + Source: R/dats.R
    @@ -123,53 +65,62 @@

    Example tagged individuals dataset

    A dataset containing the characteristics of a sample of flapper skate (Dipturus intermedius) that were tagged as part of the Movement Ecology of Flapper Skate (MEFS) project. Data are arranged by individual_id (see below).

    - 
    dat_ids
    +
    + 
    dat_ids
    +
    +
    +

    Format

    +

    A dataframe with 33 observations and 6 variables:

    individual_id
    +

    A number which distinguishes each unique individual.

    -

    Format

    +
    transmitter_id
    +

    A character which defines the acoustic transmitter code.

    -

    A dataframe with 33 observations and 6 variables:

    -
    individual_id

    A number which distinguishes each unique individual.

    -
    transmitter_id

    A character which defines the acoustic transmitter code.

    -
    archival_id

    A character which defines the archival tag code.

    -
    tag_start_date

    A date which defines the date of tag deployment.

    -
    tag_long

    A number which defines the longitude (decimal degrees) of tag deployment.

    -
    tag_lat

    A number which defines the latitude (decimal degrees) of tag deployment.

    +
    archival_id
    +

    A character which defines the archival tag code.

    -
    +
    tag_start_date
    +

    A date which defines the date of tag deployment.

    -

    Source

    +
    tag_long
    +

    A number which defines the longitude (decimal degrees) of tag deployment.

    + +
    tag_lat
    +

    A number which defines the latitude (decimal degrees) of tag deployment.

    -

    Data were collected by, and belong to, Marine Scotland Science and NatureScot. Data were processed by Edward Lavender. If you wish to use these data, please contact Marine Scotland Science and NatureScot for further information.

    -

    References

    +
    +
    +

    Source

    +

    Data were collected by, and belong to, Marine Scotland Science and NatureScot. Data were processed by Edward Lavender. If you wish to use these data, please contact Marine Scotland Science and NatureScot for further information.

    +
    +
    +

    References

    Data collection and processing is described in Lavender (in prep). Fine-scale habitat use of the Critically Endangered flapper skate (Dipturus intermedius). [Doctoral dissertation, University of St Andrews].

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dat_moorings.html b/docs/reference/dat_moorings.html index b5bc7b8..a25b8c2 100644 --- a/docs/reference/dat_moorings.html +++ b/docs/reference/dat_moorings.html @@ -1,67 +1,12 @@ - - - - - - - -Example passive acoustic telemetry receiver moorings dataset — dat_moorings • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Example passive acoustic telemetry receiver moorings dataset — dat_moorings • flapper - - + + - - -
    -
    - -
    - -
    +

    Example passive acoustic telemetry receiver moorings dataset

    - Source: R/dats.R + Source: R/dats.R
    @@ -123,55 +65,68 @@

    Example passive acoustic telemetry receiver moorings dataset

    A dataset containing a sample of passive acoustic telemetry receiver locations and associated information. Data are arranged by receiver_id (see below).

    - 
    dat_moorings
    +
    + 
    dat_moorings
    +
    +
    +

    Format

    +

    A dataframe with 40 observations and 8 variables:

    receiver_id
    +

    An integer which distinguishes each unique receiver deployment.

    -

    Format

    +
    receiver
    +

    A character which defines each receiver.

    -

    A dataframe with 40 observations and 8 variables:

    -
    receiver_id

    An integer which distinguishes each unique receiver deployment.

    -
    receiver

    A character which defines each receiver.

    -
    sentinel_id

    A character which defines each receiver's built-in acoustic transmitter (`sentinel tag'). Some receivers did not have sentinel tags; their sentinel_id is NA.

    -
    receiver_start_date

    A date which defines the start date of each receiver's deployment.

    -
    receiver_end_date

    A date which defines the end date of each receiver's deployment.

    -
    receiver_long

    A number which defines the longitude (decimal degrees) of each receiver.

    -
    receiver_lat

    A number which defines the latitude (decimal degrees) of each receiver.

    -
    receiver_depth

    A number which defines the approximate depth of each receiver below the surface (m).

    +
    sentinel_id
    +

    A character which defines each receiver's built-in acoustic transmitter (`sentinel tag'). Some receivers did not have sentinel tags; their sentinel_id is NA.

    -
    +
    receiver_start_date
    +

    A date which defines the start date of each receiver's deployment.

    -

    Source

    +
    receiver_end_date
    +

    A date which defines the end date of each receiver's deployment.

    + +
    receiver_long
    +

    A number which defines the longitude (decimal degrees) of each receiver.

    + +
    receiver_lat
    +

    A number which defines the latitude (decimal degrees) of each receiver.

    + +
    receiver_depth
    +

    A number which defines the approximate depth of each receiver below the surface (m).

    -

    Data were collected by, and belong to, Marine Scotland Science and NatureScot. Data were processed by Edward Lavender. If you wish to use these data, please contact Marine Scotland Science and NatureScot for further information.

    -

    References

    +
    +
    +

    Source

    +

    Data were collected by, and belong to, Marine Scotland Science and NatureScot. Data were processed by Edward Lavender. If you wish to use these data, please contact Marine Scotland Science and NatureScot for further information.

    +
    +
    +

    References

    Data collection and processing is described in Lavender (in prep). Fine-scale habitat use of the Critically Endangered flapper skate (Dipturus intermedius). [Doctoral dissertation, University of St Andrews].

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dat_sentinel.html b/docs/reference/dat_sentinel.html index 2ad139e..3aa8134 100644 --- a/docs/reference/dat_sentinel.html +++ b/docs/reference/dat_sentinel.html @@ -1,67 +1,12 @@ - - - - - - - -Example sentinel tag range testing dataset — dat_sentinel • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Example sentinel tag range testing dataset — dat_sentinel • flapper - - + + - - -
    -
    - -
    - -
    +

    Example sentinel tag range testing dataset

    - Source: R/dats.R + Source: R/dats.R
    @@ -123,54 +65,65 @@

    Example sentinel tag range testing dataset

    A dataset containing a sample of transmissions and detections assembled from sentinel tags. Sentinel tags are built-in acoustic transmitters which release acoustic signals at programmed intervals. The receiver unit of each sentinel tag records the exact timing of these transmissions. At the same time, any nearby receivers may also record these transmissions as detections. After some processing, the result is a dataframe comprising transmissions and detections, which contains information on detection probability. Data are arranged by source_id, timestamp and then sink_id.

    - 
    dat_sentinel
    +
    + 
    dat_sentinel
    +
    +
    +

    Format

    +

    A dataframe with 106,733 observations and 7 variables:

    timestamp
    +

    A POSIXct object which defines the time of each observation.

    -

    Format

    +
    type
    +

    A character which defines the type of observation: "transmission" or "detection".

    -

    A dataframe with 106,733 observations and 7 variables:

    -
    timestamp

    A POSIXct object which defines the time of each observation.

    -
    type

    A character which defines the type of observation: "transmission" or "detection".

    -
    sink_id

    A unique identifier of the receiver which received the transmission (see dat_moorings).

    -
    sink

    The receiver which received the transmission (see dat_moorings).

    -
    source_id

    A unique identifier of the receiver which released the transmission (see dat_moorings).

    -
    source

    The receiver which released the transmission (see dat_moorings).

    -
    sentinel_id

    A unique identifier of the sentinel tag which released the transmission (see dat_moorings).

    +
    sink_id
    +

    A unique identifier of the receiver which received the transmission (see dat_moorings).

    -
    +
    sink
    +

    The receiver which received the transmission (see dat_moorings).

    -

    Source

    +
    source_id
    +

    A unique identifier of the receiver which released the transmission (see dat_moorings).

    + +
    source
    +

    The receiver which released the transmission (see dat_moorings).

    + +
    sentinel_id
    +

    A unique identifier of the sentinel tag which released the transmission (see dat_moorings).

    -

    Data were collected by, and belong to, Marine Scotland Science and NatureScot. Data were processed by Edward Lavender. If you wish to use these data, please contact Marine Scotland Science and NatureScot for further information.

    -

    References

    +
    +
    +

    Source

    +

    Data were collected by, and belong to, Marine Scotland Science and NatureScot. Data were processed by Edward Lavender. If you wish to use these data, please contact Marine Scotland Science and NatureScot for further information.

    +
    +
    +

    References

    Data collection and processing is described in Lavender (in prep). Fine-scale habitat use of the Critically Endangered flapper skate (Dipturus intermedius). [Doctoral dissertation, University of St Andrews].

    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dc-1.png b/docs/reference/dc-1.png index 862f15f..a95ece5 100644 Binary files a/docs/reference/dc-1.png and b/docs/reference/dc-1.png differ diff --git a/docs/reference/dc-2.png b/docs/reference/dc-2.png index 81169a8..ec159e2 100644 Binary files a/docs/reference/dc-2.png and b/docs/reference/dc-2.png differ diff --git a/docs/reference/dc-3.png b/docs/reference/dc-3.png index 8ab3332..010a725 100644 Binary files a/docs/reference/dc-3.png and b/docs/reference/dc-3.png differ diff --git a/docs/reference/dc-4.png b/docs/reference/dc-4.png index 2210f50..77196b7 100644 Binary files a/docs/reference/dc-4.png and b/docs/reference/dc-4.png differ diff --git a/docs/reference/dc-5.png b/docs/reference/dc-5.png index b1d8f3a..27fa917 100644 Binary files a/docs/reference/dc-5.png and b/docs/reference/dc-5.png differ diff --git a/docs/reference/dc-6.png b/docs/reference/dc-6.png index 862f15f..a95ece5 100644 Binary files a/docs/reference/dc-6.png and b/docs/reference/dc-6.png differ diff --git a/docs/reference/dc-7.png b/docs/reference/dc-7.png index c2cb104..2814cc3 100644 Binary files a/docs/reference/dc-7.png and b/docs/reference/dc-7.png differ diff --git a/docs/reference/dc-8.png b/docs/reference/dc-8.png index 0b9cfe4..107799f 100644 Binary files a/docs/reference/dc-8.png and b/docs/reference/dc-8.png differ diff --git a/docs/reference/dc-9.png b/docs/reference/dc-9.png index 6819544..1a8fecf 100644 Binary files a/docs/reference/dc-9.png and b/docs/reference/dc-9.png differ diff --git a/docs/reference/dc.html b/docs/reference/dc.html index 54f2ee7..ceae707 100644 --- a/docs/reference/dc.html +++ b/docs/reference/dc.html @@ -1,67 +1,12 @@ - - - - - - - -The depth-contour (DC) algorithm — dc • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -The depth-contour (DC) algorithm — dc • flapper - - + + - - -
    -
    - -
    - -
    +

    The depth-contour (DC) algorithm

    - Source: R/dc.R + Source: R/dc.R
    -

    This function implements the depth-contour (DC) algorithm. This algorithm relates one-dimensional depth time series to a two-dimensional bathymetry surface to determine the extent to which different parts of an area might have (or have not) been used, or effectively represent occupied depths, over time. Given a sequence of depth observations (archival) from a tagged animal and a measurement error parameter (calc_depth_error), at each time step the function determines the cells on a bathymetry raster (bathy) that match the observed depth*. Across all time steps, matches are summed to produce a single map representing the number of occasions when the depth in each cell matched the observed depth.

    +

    This function implements the depth-contour (DC) algorithm. This algorithm relates one-dimensional depth time series to a two-dimensional bathymetry surface to determine the extent to which different parts of an area might have (or have not) been used, or effectively represent occupied depths, over time. Given a sequence of depth observations (archival) from a tagged animal and a measurement error parameter (calc_depth_error), at each time step the function determines the cells on a bathymetry raster (bathy) that match the observed depth*. Across all time steps, matches are summed to produce a single map representing the number of occasions when the depth in each cell matched the observed depth.

    +
    + +
    + 
    dc(
+  archival,
+  bathy,
+  plot_ts = TRUE,
+  calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
+  check_availability = TRUE,
+  normalise = TRUE,
+  save_record_spatial = 1L,
+  write_record_spatial_for_pf = NULL,
+  save_args = TRUE,
+  verbose = TRUE,
+  con = "",
+  split = NULL,
+  cl = NULL,
+  varlist = NULL
+)
    - 
    dc(
-  archival,
-  bathy,
-  plot_ts = TRUE,
-  calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
-  check_availability = TRUE,
-  normalise = TRUE,
-  save_record_spatial = 1L,
-  write_record_spatial_for_pf = NULL,
-  save_args = TRUE,
-  verbose = TRUE,
-  con = "",
-  split = NULL,
-  cl = NULL,
-  varlist = NULL
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    archival

    A dataframe of depth time series (for a single individual). At a minimum, this should contain a column named `depth' with depth observations. Depth should be recorded using absolute values in the same units as the bathymetry (bathy, see below).

    bathy

    A raster of the bathymetry in an area within which the animal is likely to have been located over the study. Bathymetry values should be recorded as absolute values and in the same units as for depths (see archival).

    plot_ts

    A logical input that defines whether or not to the depth time series before the algorithm is initiated.

    calc_depth_error

    A function that returns the depth errors around a vector of depths. The function should accept vector of depths (from archival$depth) and return a matrix, with one row for each (lower and upper) error and one one column for each depth (if the error varies with depth). For each depth, the two numbers are added to the observed depth to define the range of depths on the bathymetry raster (bathy) that the individual could plausibly have occupied at any time. Since the depth errors are added to the individual's depth, the first number should be negative (i.e., the individual could have been shallower that observed) and the second positive (i.e., the individual could have been deeper than observed). The appropriate form for calc_depth_error depends on the species (pelagic versus demersal/benthic species), the measurement error for the depth observations in archival and bathymetry (bathy) data, as well as the tidal range (m) across the area (over the duration of observations). For example, for a pelagic species, the constant function calc_depth_error = function(...) matrix(c(-2.5, Inf) implies that the individual could have occupied bathymetric cells that are deeper than the observed depth + (-2.5) m and shallower than Inf m (i.e. the individual could have been in any location in which the depth was deeper than the shallow depth limit for the individual). In contrast, for a benthic species, the constant function calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2) implies that the individual could have occupied bathymetric cells whose depth lies within the interval defined by the observed depth + (-2.5) and + (+2.5) m.

    check_availability

    A logical input that defines whether or not to record explicitly, for each time step, whether or not there were any cells on bathy that matched the observed depth (within the bounds defined by calc_depth_error).

    normalise

    A logical variable that defines whether or not to normalise the map of possible locations at each time step so that their scores sum to one.

    save_record_spatial

    An integer vector that defines the time steps for which to return time step-specific and cumulative maps of the individual's possible locations. save_record_spatial = 0 suppresses the return of this information and save_record_spatial = NULL returns this information for all time steps.

    write_record_spatial_for_pf

    (optional) A named list, passed to writeRaster, to save the raster of the individual's possible positions at each time step to file. The `filename' argument should be the directory in which to save files. Files are named by archival time steps as `arc_1', `arc_2' and so on.

    save_args

    A logical input that defines whether or not to save the list of function inputs in the returned object.

    verbose

    A logical variable that defines whether or not to print messages to the console or to file to relay function progress. If con = "", messages are printed to the console; otherwise, they are written to file (see below).

    con

    If verbose = TRUE, con is character string that defines how messages relaying function progress are returned. If con = "", messages are printed to the console (unless redirected by sink). Otherwise, con defines the full pathway to a .txt file (which can be created on-the-fly) into which messages are written to relay function progress.

    split, cl, varlist

    (optional) Parallelisation options. split is an integer which, if supplied, splits the archival dataframe every nth row into chunks†. The algorithm is applied sequentially within each chunk (if applicable) and chunk-wise maps can be summed afterwards to create a single map of space use. The advantage of this approach is that chunks can be analysed in parallel, via cl and varlist, while memory use is minimised. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    - -

    Value

    - -

    The function returns an acdc_archive-class object. If a connection to write files has also been specified, messages are also written to file relaying function progress.

    -

    Details

    +
    +

    Arguments

    +
    archival
    +

    A dataframe of depth time series (for a single individual). At a minimum, this should contain a column named `depth' with depth observations. Depth should be recorded using absolute values in the same units as the bathymetry (bathy, see below).

    + + +
    bathy
    +

    A raster of the bathymetry in an area within which the animal is likely to have been located over the study. Bathymetry values should be recorded as absolute values and in the same units as for depths (see archival).

    + + +
    plot_ts
    +

    A logical input that defines whether or not to the depth time series before the algorithm is initiated.

    + + +
    calc_depth_error
    +

    A function that returns the depth errors around a vector of depths. The function should accept vector of depths (from archival$depth) and return a matrix, with one row for each (lower and upper) error and one one column for each depth (if the error varies with depth). For each depth, the two numbers are added to the observed depth to define the range of depths on the bathymetry raster (bathy) that the individual could plausibly have occupied at any time. Since the depth errors are added to the individual's depth, the first number should be negative (i.e., the individual could have been shallower that observed) and the second positive (i.e., the individual could have been deeper than observed). The appropriate form for calc_depth_error depends on the species (pelagic versus demersal/benthic species), the measurement error for the depth observations in archival and bathymetry (bathy) data, as well as the tidal range (m) across the area (over the duration of observations). For example, for a pelagic species, the constant function calc_depth_error = function(...) matrix(c(-2.5, Inf) implies that the individual could have occupied bathymetric cells that are deeper than the observed depth + (-2.5) m and shallower than Inf m (i.e. the individual could have been in any location in which the depth was deeper than the shallow depth limit for the individual). In contrast, for a benthic species, the constant function calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2) implies that the individual could have occupied bathymetric cells whose depth lies within the interval defined by the observed depth + (-2.5) and + (+2.5) m.

    + + +
    check_availability
    +

    A logical input that defines whether or not to record explicitly, for each time step, whether or not there were any cells on bathy that matched the observed depth (within the bounds defined by calc_depth_error).

    + + +
    normalise
    +

    A logical variable that defines whether or not to normalise the map of possible locations at each time step so that their scores sum to one.

    + + +
    save_record_spatial
    +

    An integer vector that defines the time steps for which to return time step-specific and cumulative maps of the individual's possible locations. save_record_spatial = 0 suppresses the return of this information and save_record_spatial = NULL returns this information for all time steps.

    + + +
    write_record_spatial_for_pf
    +

    (optional) A named list, passed to writeRaster, to save the raster of the individual's possible positions at each time step to file. The `filename' argument should be the directory in which to save files. Files are named by archival time steps as `arc_1', `arc_2' and so on.

    -

    This algorithm can be applied to both pelagic species (which must be in an area where the depth is at least as deep as the observed depth) and benthic/demersal species (which must be in an area relatively close in depth to the observed depth). However, the results are likely to be much more precise for benthic species because depth observations for benthic animals are typically more informative about a tagged animal's possible location(s) than for pelagic species.

    -

    *Location probability could be weighted by the proximity between the observed depth and the depths of cells within the range defined by the observed depth and the measurement error (i.e., archival$depth[1] + calc_depth_error(archival$depth[1])[1], archival$depth[1] + calc_depth_error(archival$depth[1])[2]), but this is not currently implemented.

    -

    †Under the default options (split = NULL), the function starts with a blank map of the area and iterates over each time step, adding the `possible positions' of the individual to the map at each step. By continuously updating a single map, this approach is slow but minimises memory requirements. An alternative approach is to split the time series into chunks, implement an iterative approach within each chunk, and then join the maps for each chunk. This is implemented by split (plus acdc_simplify).

    -

    See also

    -

    acdc_simplify simplifies the outputs of the algorithm. acdc_plot_trace, acdc_plot_record and acdc_animate_record provide plotting routines. dcq implements a faster version of this algorithm termed the `quick depth-contour' (DCQ) algorithm. Rather than considering the depth interval that the individual could have occupied at each time step, the DCQ algorithm considers a sequence of depth bins (e.g., 10 m bins), isolates these on the bathymetry raster (bathy) and counts the number of matches in each cell. The DCPF algorithm (see pf) extends the DC algorithm via particle filtering to reconstruct possible movement paths over bathy. The ACDC algorithm (see acdc) extends the depth-contour algorithm by integrating information from acoustic detections of individuals at each time step to restrict the locations in which depth contours are identified.

    -

    Author

    +
    save_args
    +

    A logical input that defines whether or not to save the list of function inputs in the returned object.

    + +
    verbose
    +

    A logical variable that defines whether or not to print messages to the console or to file to relay function progress. If con = "", messages are printed to the console; otherwise, they are written to file (see below).

    + + +
    con
    +

    If verbose = TRUE, con is character string that defines how messages relaying function progress are returned. If con = "", messages are printed to the console (unless redirected by sink). Otherwise, con defines the full pathway to a .txt file (which can be created on-the-fly) into which messages are written to relay function progress.

    + + +
    split, cl, varlist
    +

    (optional) Parallelisation options. split is an integer which, if supplied, splits the archival dataframe every nth row into chunks†. The algorithm is applied sequentially within each chunk (if applicable) and chunk-wise maps can be summed afterwards to create a single map of space use. The advantage of this approach is that chunks can be analysed in parallel, via cl and varlist, while memory use is minimised. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    + +
    +
    +

    Value

    + + +

    The function returns an acdc_archive-class object. If a connection to write files has also been specified, messages are also written to file relaying function progress.

    +
    +
    +

    Details

    +

    This algorithm can be applied to both pelagic species (which must be in an area where the depth is at least as deep as the observed depth) and benthic/demersal species (which must be in an area relatively close in depth to the observed depth). However, the results are likely to be much more precise for benthic species because depth observations for benthic animals are typically more informative about a tagged animal's possible location(s) than for pelagic species.

    +

    *Location probability could be weighted by the proximity between the observed depth and the depths of cells within the range defined by the observed depth and the measurement error (i.e., archival$depth[1] + calc_depth_error(archival$depth[1])[1], archival$depth[1] + calc_depth_error(archival$depth[1])[2]), but this is not currently implemented.

    +

    †Under the default options (split = NULL), the function starts with a blank map of the area and iterates over each time step, adding the `possible positions' of the individual to the map at each step. By continuously updating a single map, this approach is slow but minimises memory requirements. An alternative approach is to split the time series into chunks, implement an iterative approach within each chunk, and then join the maps for each chunk. This is implemented by split (plus acdc_simplify).

    +
    +
    +

    See also

    +

    acdc_simplify simplifies the outputs of the algorithm. acdc_plot_trace, acdc_plot_record and acdc_animate_record provide plotting routines. dcq implements a faster version of this algorithm termed the `quick depth-contour' (DCQ) algorithm. Rather than considering the depth interval that the individual could have occupied at each time step, the DCQ algorithm considers a sequence of depth bins (e.g., 10 m bins), isolates these on the bathymetry raster (bathy) and counts the number of matches in each cell. The DCPF algorithm (see pf) extends the DC algorithm via particle filtering to reconstruct possible movement paths over bathy. The ACDC algorithm (see acdc) extends the depth-contour algorithm by integrating information from acoustic detections of individuals at each time step to restrict the locations in which depth contours are identified.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Define depth time series for examples
-# We will use a sample depth time series for one individual
-# We will select a small sample of observations for example speed
-depth <- dat_archival[dat_archival$individual_id == 25, ][1:100, ]
-
-#### Example (1): Implement algorithm with default options
-## Implement algorithm
-out_dc <- dc(archival = depth, bathy = dat_gebco)
-
    #> flapper::dc() called (@ 2022-06-17 09:59:49)... 
-#> ... Setting up function... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> ... Implementing calc_depth_error()... 
-#> ... Plotting movement time series (for each chunk)... 
    #> ... Implementing algorithm over time steps... 
-#> ... flapper::dc() call completed (@ 2022-06-17 09:59:50) after ~0.02 minutes. 
    ## dc() returns a named list that is an 'acdc_archive' class object
-summary(out_dc)
-
    #>             Length Class      Mode
-#> archive      1     -none-     list
-#> ts_by_chunk  1     -none-     list
-#> time         4     data.frame list
-#> args        14     -none-     list
    # ... archive elements contain the key information from the algorithm
-# ... ts_by_chunk contains the time series for each chunk
-# ... time contains a dataframe of the algorithm's progression
-# ... args contains a list of user inputs
-## Simplify outputs via acdc_simplify()
-dc_summary <- acdc_simplify(out_dc, type = "dc")
-
    #> acdc_simplify() implemented for type = 'dc'.
    summary(dc_summary)
-
    #>          Length Class       Mode   
-#> map      4218   RasterLayer S4     
-#> record    100   -none-      list   
-#> time        4   data.frame  list   
-#> args       14   -none-      list   
-#> chunks      0   -none-      NULL   
-#> simplify    1   -none-      logical
    ## Examine time-specific maps via acdc_plot_record()
-acdc_plot_record(dc_summary)
-
    #> flapper::acdc_plot_record() called... 
-#> ... Checking function inputs... 
-#> ... Defining data for background plot... 
    #> add_containers = NULL implemented: 'record' does not contain containers.
    #> ... Setting plotting window... 
-#> ... Making plots for each time step ... 
    #> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
    ## Examine overall map via a raster* plotting function
-# Each cell shows expected proportion of time steps spent in each cell
-prettyGraphics::pretty_map(add_rasters = list(x = dc_summary$map),
-                           add_polys = list(x = dat_coast))
-
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    # Convert counts on map to percentages
-prettyGraphics::pretty_map(add_rasters =
-                             list(x = dc_summary$map/nrow(depth) * 100,
-                                  zlim = c(0, 100)),
-                           add_polys = list(x = dat_coast))
-
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    # Check for occasions when the individual's depth was not consistent
-# ... with the depth data for the area and the depth error e.g., possibly
-# ... due to movement beyond this area:
-any(do.call(rbind, lapply(dc_summary$record, function(elm) elm$dat))$availability == FALSE)
-
    #> [1] FALSE
    
-#### Example (2): Implement depth error functions that depend on depth
-## Here, we will define a calc_depth_error function that depends on:
-# ... tag error
-# ... tidal range
-# ... a depth-dependent bathymetry error
-cde <- function(depth){
-  e <- 4.77 + 2.5 + sqrt(0.5 ^2 + (0.013 * depth)^2)
-  e <- matrix(c(-e, e), nrow = 2)
-  return(e)
-  }
-# Vectorise function over depths (essential)
-cde <- Vectorize(cde)
-## Implement algorithm with  depth-dependent error
-out_dc <- dc(archival = depth, bathy = dat_gebco, calc_depth_error = cde)
-
    #> flapper::dc() called (@ 2022-06-17 09:59:50)... 
-#> ... Setting up function... 
    #> 'calc_depth_error' taken to depend on depth.
    #> ... Implementing calc_depth_error()... 
-#> ... Plotting movement time series (for each chunk)... 
    #> ... Implementing algorithm over time steps... 
-#> ... flapper::dc() call completed (@ 2022-06-17 09:59:51) after ~0.02 minutes. 
    
-#### Example (3): Write timestep-specific maps of allowed positions to file
-out_dc <- dc(archival = depth, bathy = dat_gebco,
-             write_record_spatial_for_pf = list(filename = tempdir()))
-
    #> flapper::dc() called (@ 2022-06-17 09:59:51)... 
-#> ... Setting up function... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> '/' added to the directory inputted to the argument 'write_record_spatial_for_pf$filename' ('/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA').
    #> ... Implementing calc_depth_error()... 
-#> ... Plotting movement time series (for each chunk)... 
    #> ... Implementing algorithm over time steps... 
-#> ... flapper::dc() call completed (@ 2022-06-17 09:59:53) after ~0.03 minutes. 
    list.files(tempdir())
-
    #>   [1] "1.png"                    "2.png"                   
-#>   [3] "25"                       "28"                      
-#>   [5] "35"                       "ACDC_algorithm_demo.html"
-#>   [7] "acdc_log.txt"             "acdc_trace"              
-#>   [9] "arc_1.grd"                "arc_1.gri"               
-#>  [11] "arc_10.grd"               "arc_10.gri"              
-#>  [13] "arc_100.grd"              "arc_100.gri"             
-#>  [15] "arc_11.grd"               "arc_11.gri"              
-#>  [17] "arc_12.grd"               "arc_12.gri"              
-#>  [19] "arc_13.grd"               "arc_13.gri"              
-#>  [21] "arc_14.grd"               "arc_14.gri"              
-#>  [23] "arc_15.grd"               "arc_15.gri"              
-#>  [25] "arc_16.grd"               "arc_16.gri"              
-#>  [27] "arc_17.grd"               "arc_17.gri"              
-#>  [29] "arc_18.grd"               "arc_18.gri"              
-#>  [31] "arc_19.grd"               "arc_19.gri"              
-#>  [33] "arc_2.grd"                "arc_2.gri"               
-#>  [35] "arc_20.grd"               "arc_20.gri"              
-#>  [37] "arc_21.grd"               "arc_21.gri"              
-#>  [39] "arc_22.grd"               "arc_22.gri"              
-#>  [41] "arc_23.grd"               "arc_23.gri"              
-#>  [43] "arc_24.grd"               "arc_24.gri"              
-#>  [45] "arc_25.grd"               "arc_25.gri"              
-#>  [47] "arc_26.grd"               "arc_26.gri"              
-#>  [49] "arc_27.grd"               "arc_27.gri"              
-#>  [51] "arc_28.grd"               "arc_28.gri"              
-#>  [53] "arc_29.grd"               "arc_29.gri"              
-#>  [55] "arc_3.grd"                "arc_3.gri"               
-#>  [57] "arc_30.grd"               "arc_30.gri"              
-#>  [59] "arc_31.grd"               "arc_31.gri"              
-#>  [61] "arc_32.grd"               "arc_32.gri"              
-#>  [63] "arc_33.grd"               "arc_33.gri"              
-#>  [65] "arc_34.grd"               "arc_34.gri"              
-#>  [67] "arc_35.grd"               "arc_35.gri"              
-#>  [69] "arc_36.grd"               "arc_36.gri"              
-#>  [71] "arc_37.grd"               "arc_37.gri"              
-#>  [73] "arc_38.grd"               "arc_38.gri"              
-#>  [75] "arc_39.grd"               "arc_39.gri"              
-#>  [77] "arc_4.grd"                "arc_4.gri"               
-#>  [79] "arc_40.grd"               "arc_40.gri"              
-#>  [81] "arc_41.grd"               "arc_41.gri"              
-#>  [83] "arc_42.grd"               "arc_42.gri"              
-#>  [85] "arc_43.grd"               "arc_43.gri"              
-#>  [87] "arc_44.grd"               "arc_44.gri"              
-#>  [89] "arc_45.grd"               "arc_45.gri"              
-#>  [91] "arc_46.grd"               "arc_46.gri"              
-#>  [93] "arc_47.grd"               "arc_47.gri"              
-#>  [95] "arc_48.grd"               "arc_48.gri"              
-#>  [97] "arc_49.grd"               "arc_49.gri"              
-#>  [99] "arc_5.grd"                "arc_5.gri"               
-#> [101] "arc_50.grd"               "arc_50.gri"              
-#> [103] "arc_51.grd"               "arc_51.gri"              
-#> [105] "arc_52.grd"               "arc_52.gri"              
-#> [107] "arc_53.grd"               "arc_53.gri"              
-#> [109] "arc_54.grd"               "arc_54.gri"              
-#> [111] "arc_55.grd"               "arc_55.gri"              
-#> [113] "arc_56.grd"               "arc_56.gri"              
-#> [115] "arc_57.grd"               "arc_57.gri"              
-#> [117] "arc_58.grd"               "arc_58.gri"              
-#> [119] "arc_59.grd"               "arc_59.gri"              
-#> [121] "arc_6.grd"                "arc_6.gri"               
-#> [123] "arc_60.grd"               "arc_60.gri"              
-#> [125] "arc_61.grd"               "arc_61.gri"              
-#> [127] "arc_62.grd"               "arc_62.gri"              
-#> [129] "arc_63.grd"               "arc_63.gri"              
-#> [131] "arc_64.grd"               "arc_64.gri"              
-#> [133] "arc_65.grd"               "arc_65.gri"              
-#> [135] "arc_66.grd"               "arc_66.gri"              
-#> [137] "arc_67.grd"               "arc_67.gri"              
-#> [139] "arc_68.grd"               "arc_68.gri"              
-#> [141] "arc_69.grd"               "arc_69.gri"              
-#> [143] "arc_7.grd"                "arc_7.gri"               
-#> [145] "arc_70.grd"               "arc_70.gri"              
-#> [147] "arc_71.grd"               "arc_71.gri"              
-#> [149] "arc_72.grd"               "arc_72.gri"              
-#> [151] "arc_73.grd"               "arc_73.gri"              
-#> [153] "arc_74.grd"               "arc_74.gri"              
-#> [155] "arc_75.grd"               "arc_75.gri"              
-#> [157] "arc_76.grd"               "arc_76.gri"              
-#> [159] "arc_77.grd"               "arc_77.gri"              
-#> [161] "arc_78.grd"               "arc_78.gri"              
-#> [163] "arc_79.grd"               "arc_79.gri"              
-#> [165] "arc_8.grd"                "arc_8.gri"               
-#> [167] "arc_80.grd"               "arc_80.gri"              
-#> [169] "arc_81.grd"               "arc_81.gri"              
-#> [171] "arc_82.grd"               "arc_82.gri"              
-#> [173] "arc_83.grd"               "arc_83.gri"              
-#> [175] "arc_84.grd"               "arc_84.gri"              
-#> [177] "arc_85.grd"               "arc_85.gri"              
-#> [179] "arc_86.grd"               "arc_86.gri"              
-#> [181] "arc_87.grd"               "arc_87.gri"              
-#> [183] "arc_88.grd"               "arc_88.gri"              
-#> [185] "arc_89.grd"               "arc_89.gri"              
-#> [187] "arc_9.grd"                "arc_9.gri"               
-#> [189] "arc_90.grd"               "arc_90.gri"              
-#> [191] "arc_91.grd"               "arc_91.gri"              
-#> [193] "arc_92.grd"               "arc_92.gri"              
-#> [195] "arc_93.grd"               "arc_93.gri"              
-#> [197] "arc_94.grd"               "arc_94.gri"              
-#> [199] "arc_95.grd"               "arc_95.gri"              
-#> [201] "arc_96.grd"               "arc_96.gri"              
-#> [203] "arc_97.grd"               "arc_97.gri"              
-#> [205] "arc_98.grd"               "arc_98.gri"              
-#> [207] "arc_99.grd"               "arc_99.gri"              
-#> [209] "css"                      "dot_acdc_log_1.txt"      
-#> [211] "dot_acdc_log_2.txt"       "dot_acdc_log_3.txt"      
-#> [213] "dot_acdc_log_4.txt"       "dot_acdc_log_5.txt"      
-#> [215] "downlit"                  "filef601236c7a3"         
-#> [217] "filef6015ac7a2b"          "filef6021d8f5cf"         
-#> [219] "filef60256469b6"          "filef602786f553.so"      
-#> [221] "filef60390d8055"          "filef6063583ee7"         
-#> [223] "filef6079ff375a"          "images"                  
-#> [225] "js"                      
    
-#### Example (4): Implement the algorithm in parallel
-## Trial different options for 'split' and compare speed
-# Approach (1)
-at1 <- Sys.time()
-cl <- parallel::makeCluster(2L)
-parallel::clusterEvalQ(cl = cl, library(raster))
-
    #> [[1]]
-#> [1] "raster"    "sp"        "stats"     "graphics"  "grDevices" "utils"    
-#> [7] "datasets"  "methods"   "base"     
-#> 
-#> [[2]]
-#> [1] "raster"    "sp"        "stats"     "graphics"  "grDevices" "utils"    
-#> [7] "datasets"  "methods"   "base"     
-#> 
    out_dc <- dc(archival = depth,
-             bathy = dat_gebco,
-             plot_ts = FALSE,
-             split = 1,
-             cl = cl)
-
    #> flapper::dc() called (@ 2022-06-17 09:59:57)... 
-#> ... Setting up function... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> ... Implementing calc_depth_error()... 
-#> ... Implementing algorithm over chunks... 
-#> ... flapper::dc() call completed (@ 2022-06-17 09:59:58) after ~0.01 minutes. 
    at2 <- Sys.time()
-# Approach (2)
-bt1 <- Sys.time()
-cl <- parallel::makeCluster(2L)
-parallel::clusterEvalQ(cl = cl, library(raster))
-
    #> [[1]]
-#> [1] "raster"    "sp"        "stats"     "graphics"  "grDevices" "utils"    
-#> [7] "datasets"  "methods"   "base"     
-#> 
-#> [[2]]
-#> [1] "raster"    "sp"        "stats"     "graphics"  "grDevices" "utils"    
-#> [7] "datasets"  "methods"   "base"     
-#> 
    out_dc <- dc(archival = depth,
-             bathy = dat_gebco,
-             plot_ts = FALSE,
-             split = 5,
-             cl = cl)
-
    #> flapper::dc() called (@ 2022-06-17 10:00:01)... 
-#> ... Setting up function... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> ... Implementing calc_depth_error()... 
-#> ... Implementing algorithm over chunks... 
-#> ... flapper::dc() call completed (@ 2022-06-17 10:00:02) after ~0.01 minutes. 
    bt2 <- Sys.time()
-# Compare timings
-difftime(at2, at1)
-
    #> Time difference of 4.20364 secs
    difftime(bt2, bt1)
-
    #> Time difference of 4.189349 secs
    
-#### Example (5): Write messages to file via con
-out_dc <- dc(archival = depth, bathy = dat_gebco,
-             con = paste0(tempdir(), "/dc_log.txt"))
-
    #> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/dc_log.txt does not exist: attempting to write file in specified directory...
    #> ... Blank file successfully written to file.
    #> 'calc_depth_error' function taken to be independent of depth.
    readLines(paste0(tempdir(), "/dc_log.txt"))
-
    #> [1] "flapper::dc() called (@ 2022-06-17 10:00:02)... "                              
-#> [2] "... Setting up function... "                                                   
-#> [3] "... Implementing calc_depth_error()... "                                       
-#> [4] "... Plotting movement time series (for each chunk)... "                        
-#> [5] "... Implementing algorithm over time steps... "                                
-#> [6] "... flapper::dc() call completed (@ 2022-06-17 10:00:03) after ~0.02 minutes. "
    
-#### Example (6) Compare an automated vs. manual implementation of DC
-
-## (A) Compare step-wise results for randomly select time steps
-# Implement algorithm (using default calc_depth_error)
-out_dc <- dc(archival = depth,
-             bathy = dat_gebco,
-             save_record_spatial = NULL)
-
    #> flapper::dc() called (@ 2022-06-17 10:00:03)... 
-#> ... Setting up function... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> ... Implementing calc_depth_error()... 
-#> ... Plotting movement time series (for each chunk)... 
    #> ... Implementing algorithm over time steps... 
-#> ... flapper::dc() call completed (@ 2022-06-17 10:00:04) after ~0.02 minutes. 
    # Compare results for randomly selected time steps to manual implementation
-# ... with the same simple calc_depth_error model
-pp <- graphics::par(mfrow = c(5, 2))
-for(i in sample(1:nrow(depth), 5)){
-  # Extract map created via dc()
-  raster::plot(out_dc$archive[[1]]$record[[i]]$spatial[[1]]$map_timestep)
-  # Compare to manual creation of map
-  raster::plot(dat_gebco >= depth$depth[i] - 2.5 & dat_gebco <= depth$depth[i] + 2.5)
-}
-
    graphics::par(pp)
-
-## (B) Compare the chunk-wise results and manual implementation
-# Implement algorithm chunk-wise
-out_dc <- dc(archival = depth,
-             bathy = dat_gebco,
-             save_record_spatial = NULL,
-             split = 10L)
-
    #> flapper::dc() called (@ 2022-06-17 10:00:04)... 
-#> ... Setting up function... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> ... Implementing calc_depth_error()... 
-#> ... Plotting movement time series (for each chunk)... 
    #> ... Implementing algorithm over chunks... 
-#> ... flapper::dc() call completed (@ 2022-06-17 10:00:05) after ~0.02 minutes. 
    # Get overall map via acdc_simplify()
-map_1 <- acdc_simplify(out_dc, type = "dc", mask = dat_gebco)$map
-
    #> acdc_simplify() implemented for type = 'dc'.
    # Get overall map via a simple custom approach
-map_2 <- raster::setValues(dat_gebco, 0)
-for(i in 1:nrow(depth)){
-  map_2 <- map_2 + (dat_gebco >= depth$depth[i] - 2.5 & dat_gebco <= depth$depth[i] + 2.5)
-}
-map_2 <- raster::mask(map_2, dat_gebco)
-# Show that the two overall maps are identical
-pp <- par(mfrow = c(1, 3))
-raster::plot(map_1, main = "Automated")
-raster::plot(map_2, main = "Custom")
-raster::plot(map_1 - map_2, main = "Difference")
-
    par(pp)
-
-
    +
    +

    Examples

    + 
    #### Define depth time series for examples
+# We will use a sample depth time series for one individual
+# We will select a small sample of observations for example speed
+depth <- dat_archival[dat_archival$individual_id == 25, ][1:100, ]
+
+#### Example (1): Implement algorithm with default options
+## Implement algorithm
+out_dc <- dc(archival = depth, bathy = dat_gebco)
+#> flapper::dc() called (@ 2023-02-19 14:53:45)... 
+#> ... Setting up function... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> ... Implementing calc_depth_error()... 
+#> ... Plotting movement time series (for each chunk)... 
+
+#> ... Implementing algorithm over time steps... 
+#> ... flapper::dc() call completed (@ 2023-02-19 14:53:47) after ~0.02 minutes. 
+## dc() returns a named list that is an 'acdc_archive' class object
+summary(out_dc)
+#>             Length Class      Mode
+#> archive      1     -none-     list
+#> ts_by_chunk  1     -none-     list
+#> time         4     data.frame list
+#> args        14     -none-     list
+# ... archive elements contain the key information from the algorithm
+# ... ts_by_chunk contains the time series for each chunk
+# ... time contains a dataframe of the algorithm's progression
+# ... args contains a list of user inputs
+## Simplify outputs via acdc_simplify()
+dc_summary <- acdc_simplify(out_dc, type = "dc")
+#> acdc_simplify() implemented for type = 'dc'.
+summary(dc_summary)
+#>          Length Class       Mode   
+#> map      4218   RasterLayer S4     
+#> record    100   -none-      list   
+#> time        4   data.frame  list   
+#> args       14   -none-      list   
+#> chunks      0   -none-      NULL   
+#> simplify    1   -none-      logical
+## Examine time-specific maps via acdc_plot_record()
+acdc_plot_record(dc_summary)
+#> flapper::acdc_plot_record() called... 
+#> ... Checking function inputs... 
+#> ... Defining data for background plot... 
+#> add_containers = NULL implemented: 'record' does not contain containers.
+#> ... Setting plotting window... 
+#> ... Making plots for each time step ... 
+#> Warning: Nothing to summarize if you provide a single RasterLayer; see cellStats
+
+## Examine overall map via a raster* plotting function
+# Each cell shows expected proportion of time steps spent in each cell
+prettyGraphics::pretty_map(add_rasters = list(x = dc_summary$map),
+                           add_polys = list(x = dat_coast))
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+
+# Convert counts on map to percentages
+prettyGraphics::pretty_map(add_rasters =
+                             list(x = dc_summary$map/nrow(depth) * 100,
+                                  zlim = c(0, 100)),
+                           add_polys = list(x = dat_coast))
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+
+# Check for occasions when the individual's depth was not consistent
+# ... with the depth data for the area and the depth error e.g., possibly
+# ... due to movement beyond this area:
+any(do.call(rbind, lapply(dc_summary$record, function(elm) elm$dat))$availability == FALSE)
+#> [1] FALSE
+
+#### Example (2): Implement depth error functions that depend on depth
+## Here, we will define a calc_depth_error function that depends on:
+# ... tag error
+# ... tidal range
+# ... a depth-dependent bathymetry error
+cde <- function(depth){
+  e <- 4.77 + 2.5 + sqrt(0.5 ^2 + (0.013 * depth)^2)
+  e <- matrix(c(-e, e), nrow = 2)
+  return(e)
+  }
+# Vectorise function over depths (essential)
+cde <- Vectorize(cde)
+## Implement algorithm with  depth-dependent error
+out_dc <- dc(archival = depth, bathy = dat_gebco, calc_depth_error = cde)
+#> flapper::dc() called (@ 2023-02-19 14:53:47)... 
+#> ... Setting up function... 
+#> 'calc_depth_error' taken to depend on depth.
+#> ... Implementing calc_depth_error()... 
+#> ... Plotting movement time series (for each chunk)... 
+
+#> ... Implementing algorithm over time steps... 
+#> ... flapper::dc() call completed (@ 2023-02-19 14:53:48) after ~0.02 minutes. 
+
+#### Example (3): Write timestep-specific maps of allowed positions to file
+out_dc <- dc(archival = depth, bathy = dat_gebco,
+             write_record_spatial_for_pf = list(filename = tempdir()))
+#> flapper::dc() called (@ 2023-02-19 14:53:48)... 
+#> ... Setting up function... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> '/' added to the directory inputted to the argument 'write_record_spatial_for_pf$filename' ('/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226').
+#> ... Implementing calc_depth_error()... 
+#> ... Plotting movement time series (for each chunk)... 
+
+#> ... Implementing algorithm over time steps... 
+#> ... flapper::dc() call completed (@ 2023-02-19 14:53:51) after ~0.05 minutes. 
+list.files(tempdir())
+#>   [1] "1.png"                    "2.png"                   
+#>   [3] "25"                       "28"                      
+#>   [5] "35"                       "ACDC_algorithm_demo.html"
+#>   [7] "acdc_log.txt"             "acdc_trace"              
+#>   [9] "arc_1.grd"                "arc_1.gri"               
+#>  [11] "arc_10.grd"               "arc_10.gri"              
+#>  [13] "arc_100.grd"              "arc_100.gri"             
+#>  [15] "arc_11.grd"               "arc_11.gri"              
+#>  [17] "arc_12.grd"               "arc_12.gri"              
+#>  [19] "arc_13.grd"               "arc_13.gri"              
+#>  [21] "arc_14.grd"               "arc_14.gri"              
+#>  [23] "arc_15.grd"               "arc_15.gri"              
+#>  [25] "arc_16.grd"               "arc_16.gri"              
+#>  [27] "arc_17.grd"               "arc_17.gri"              
+#>  [29] "arc_18.grd"               "arc_18.gri"              
+#>  [31] "arc_19.grd"               "arc_19.gri"              
+#>  [33] "arc_2.grd"                "arc_2.gri"               
+#>  [35] "arc_20.grd"               "arc_20.gri"              
+#>  [37] "arc_21.grd"               "arc_21.gri"              
+#>  [39] "arc_22.grd"               "arc_22.gri"              
+#>  [41] "arc_23.grd"               "arc_23.gri"              
+#>  [43] "arc_24.grd"               "arc_24.gri"              
+#>  [45] "arc_25.grd"               "arc_25.gri"              
+#>  [47] "arc_26.grd"               "arc_26.gri"              
+#>  [49] "arc_27.grd"               "arc_27.gri"              
+#>  [51] "arc_28.grd"               "arc_28.gri"              
+#>  [53] "arc_29.grd"               "arc_29.gri"              
+#>  [55] "arc_3.grd"                "arc_3.gri"               
+#>  [57] "arc_30.grd"               "arc_30.gri"              
+#>  [59] "arc_31.grd"               "arc_31.gri"              
+#>  [61] "arc_32.grd"               "arc_32.gri"              
+#>  [63] "arc_33.grd"               "arc_33.gri"              
+#>  [65] "arc_34.grd"               "arc_34.gri"              
+#>  [67] "arc_35.grd"               "arc_35.gri"              
+#>  [69] "arc_36.grd"               "arc_36.gri"              
+#>  [71] "arc_37.grd"               "arc_37.gri"              
+#>  [73] "arc_38.grd"               "arc_38.gri"              
+#>  [75] "arc_39.grd"               "arc_39.gri"              
+#>  [77] "arc_4.grd"                "arc_4.gri"               
+#>  [79] "arc_40.grd"               "arc_40.gri"              
+#>  [81] "arc_41.grd"               "arc_41.gri"              
+#>  [83] "arc_42.grd"               "arc_42.gri"              
+#>  [85] "arc_43.grd"               "arc_43.gri"              
+#>  [87] "arc_44.grd"               "arc_44.gri"              
+#>  [89] "arc_45.grd"               "arc_45.gri"              
+#>  [91] "arc_46.grd"               "arc_46.gri"              
+#>  [93] "arc_47.grd"               "arc_47.gri"              
+#>  [95] "arc_48.grd"               "arc_48.gri"              
+#>  [97] "arc_49.grd"               "arc_49.gri"              
+#>  [99] "arc_5.grd"                "arc_5.gri"               
+#> [101] "arc_50.grd"               "arc_50.gri"              
+#> [103] "arc_51.grd"               "arc_51.gri"              
+#> [105] "arc_52.grd"               "arc_52.gri"              
+#> [107] "arc_53.grd"               "arc_53.gri"              
+#> [109] "arc_54.grd"               "arc_54.gri"              
+#> [111] "arc_55.grd"               "arc_55.gri"              
+#> [113] "arc_56.grd"               "arc_56.gri"              
+#> [115] "arc_57.grd"               "arc_57.gri"              
+#> [117] "arc_58.grd"               "arc_58.gri"              
+#> [119] "arc_59.grd"               "arc_59.gri"              
+#> [121] "arc_6.grd"                "arc_6.gri"               
+#> [123] "arc_60.grd"               "arc_60.gri"              
+#> [125] "arc_61.grd"               "arc_61.gri"              
+#> [127] "arc_62.grd"               "arc_62.gri"              
+#> [129] "arc_63.grd"               "arc_63.gri"              
+#> [131] "arc_64.grd"               "arc_64.gri"              
+#> [133] "arc_65.grd"               "arc_65.gri"              
+#> [135] "arc_66.grd"               "arc_66.gri"              
+#> [137] "arc_67.grd"               "arc_67.gri"              
+#> [139] "arc_68.grd"               "arc_68.gri"              
+#> [141] "arc_69.grd"               "arc_69.gri"              
+#> [143] "arc_7.grd"                "arc_7.gri"               
+#> [145] "arc_70.grd"               "arc_70.gri"              
+#> [147] "arc_71.grd"               "arc_71.gri"              
+#> [149] "arc_72.grd"               "arc_72.gri"              
+#> [151] "arc_73.grd"               "arc_73.gri"              
+#> [153] "arc_74.grd"               "arc_74.gri"              
+#> [155] "arc_75.grd"               "arc_75.gri"              
+#> [157] "arc_76.grd"               "arc_76.gri"              
+#> [159] "arc_77.grd"               "arc_77.gri"              
+#> [161] "arc_78.grd"               "arc_78.gri"              
+#> [163] "arc_79.grd"               "arc_79.gri"              
+#> [165] "arc_8.grd"                "arc_8.gri"               
+#> [167] "arc_80.grd"               "arc_80.gri"              
+#> [169] "arc_81.grd"               "arc_81.gri"              
+#> [171] "arc_82.grd"               "arc_82.gri"              
+#> [173] "arc_83.grd"               "arc_83.gri"              
+#> [175] "arc_84.grd"               "arc_84.gri"              
+#> [177] "arc_85.grd"               "arc_85.gri"              
+#> [179] "arc_86.grd"               "arc_86.gri"              
+#> [181] "arc_87.grd"               "arc_87.gri"              
+#> [183] "arc_88.grd"               "arc_88.gri"              
+#> [185] "arc_89.grd"               "arc_89.gri"              
+#> [187] "arc_9.grd"                "arc_9.gri"               
+#> [189] "arc_90.grd"               "arc_90.gri"              
+#> [191] "arc_91.grd"               "arc_91.gri"              
+#> [193] "arc_92.grd"               "arc_92.gri"              
+#> [195] "arc_93.grd"               "arc_93.gri"              
+#> [197] "arc_94.grd"               "arc_94.gri"              
+#> [199] "arc_95.grd"               "arc_95.gri"              
+#> [201] "arc_96.grd"               "arc_96.gri"              
+#> [203] "arc_97.grd"               "arc_97.gri"              
+#> [205] "arc_98.grd"               "arc_98.gri"              
+#> [207] "arc_99.grd"               "arc_99.gri"              
+#> [209] "css"                      "dot_acdc_log_1.txt"      
+#> [211] "dot_acdc_log_2.txt"       "dot_acdc_log_3.txt"      
+#> [213] "dot_acdc_log_4.txt"       "dot_acdc_log_5.txt"      
+#> [215] "downlit"                  "file77b31494a445"        
+#> [217] "file77b3284fa5e6"         "file77b330cf712d"        
+#> [219] "file77b331894d7a"         "file77b3353096a0"        
+#> [221] "file77b33e14800b"         "file77b359d252e"         
+#> [223] "file77b38f0fda8"          "images"                  
+#> [225] "js"                      
+
+#### Example (4): Implement the algorithm in parallel
+## Trial different options for 'split' and compare speed
+# Approach (1)
+at1 <- Sys.time()
+cl <- parallel::makeCluster(2L)
+parallel::clusterEvalQ(cl = cl, library(raster))
+#> [[1]]
+#> [1] "raster"    "sp"        "stats"     "graphics"  "grDevices" "utils"    
+#> [7] "datasets"  "methods"   "base"     
+#> 
+#> [[2]]
+#> [1] "raster"    "sp"        "stats"     "graphics"  "grDevices" "utils"    
+#> [7] "datasets"  "methods"   "base"     
+#> 
+out_dc <- dc(archival = depth,
+             bathy = dat_gebco,
+             plot_ts = FALSE,
+             split = 1,
+             cl = cl)
+#> flapper::dc() called (@ 2023-02-19 14:53:57)... 
+#> ... Setting up function... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> ... Implementing calc_depth_error()... 
+#> ... Implementing algorithm over chunks... 
+#> ... flapper::dc() call completed (@ 2023-02-19 14:53:58) after ~0.02 minutes. 
+at2 <- Sys.time()
+# Approach (2)
+bt1 <- Sys.time()
+cl <- parallel::makeCluster(2L)
+parallel::clusterEvalQ(cl = cl, library(raster))
+#> [[1]]
+#> [1] "raster"    "sp"        "stats"     "graphics"  "grDevices" "utils"    
+#> [7] "datasets"  "methods"   "base"     
+#> 
+#> [[2]]
+#> [1] "raster"    "sp"        "stats"     "graphics"  "grDevices" "utils"    
+#> [7] "datasets"  "methods"   "base"     
+#> 
+out_dc <- dc(archival = depth,
+             bathy = dat_gebco,
+             plot_ts = FALSE,
+             split = 5,
+             cl = cl)
+#> flapper::dc() called (@ 2023-02-19 14:54:04)... 
+#> ... Setting up function... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> ... Implementing calc_depth_error()... 
+#> ... Implementing algorithm over chunks... 
+#> ... flapper::dc() call completed (@ 2023-02-19 14:54:06) after ~0.03 minutes. 
+bt2 <- Sys.time()
+# Compare timings
+difftime(at2, at1)
+#> Time difference of 6.828754 secs
+difftime(bt2, bt1)
+#> Time difference of 7.341262 secs
+
+#### Example (5): Write messages to file via con
+out_dc <- dc(archival = depth, bathy = dat_gebco,
+             con = paste0(tempdir(), "/dc_log.txt"))
+#> /var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/dc_log.txt does not exist: attempting to write file in specified directory...
+#> ... Blank file successfully written to file.
+#> 'calc_depth_error' function taken to be independent of depth.
+readLines(paste0(tempdir(), "/dc_log.txt"))
+#> [1] "flapper::dc() called (@ 2023-02-19 14:54:06)... "                              
+#> [2] "... Setting up function... "                                                   
+#> [3] "... Implementing calc_depth_error()... "                                       
+#> [4] "... Plotting movement time series (for each chunk)... "                        
+#> [5] "... Implementing algorithm over time steps... "                                
+#> [6] "... flapper::dc() call completed (@ 2023-02-19 14:54:07) after ~0.03 minutes. "
+
+#### Example (6) Compare an automated vs. manual implementation of DC
+
+## (A) Compare step-wise results for randomly select time steps
+# Implement algorithm (using default calc_depth_error)
+out_dc <- dc(archival = depth,
+             bathy = dat_gebco,
+             save_record_spatial = NULL)
+#> flapper::dc() called (@ 2023-02-19 14:54:07)... 
+#> ... Setting up function... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> ... Implementing calc_depth_error()... 
+#> ... Plotting movement time series (for each chunk)... 
+#> ... Implementing algorithm over time steps... 
+#> ... flapper::dc() call completed (@ 2023-02-19 14:54:09) after ~0.03 minutes. 
+# Compare results for randomly selected time steps to manual implementation
+# ... with the same simple calc_depth_error model
+pp <- graphics::par(mfrow = c(5, 2))
+for(i in sample(1:nrow(depth), 5)){
+  # Extract map created via dc()
+  raster::plot(out_dc$archive[[1]]$record[[i]]$spatial[[1]]$map_timestep)
+  # Compare to manual creation of map
+  raster::plot(dat_gebco >= depth$depth[i] - 2.5 & dat_gebco <= depth$depth[i] + 2.5)
+}
+
+graphics::par(pp)
+
+## (B) Compare the chunk-wise results and manual implementation
+# Implement algorithm chunk-wise
+out_dc <- dc(archival = depth,
+             bathy = dat_gebco,
+             save_record_spatial = NULL,
+             split = 10L)
+#> flapper::dc() called (@ 2023-02-19 14:54:10)... 
+#> ... Setting up function... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> ... Implementing calc_depth_error()... 
+#> ... Plotting movement time series (for each chunk)... 
+
+#> ... Implementing algorithm over chunks... 
+#> ... flapper::dc() call completed (@ 2023-02-19 14:54:11) after ~0.03 minutes. 
+# Get overall map via acdc_simplify()
+map_1 <- acdc_simplify(out_dc, type = "dc", mask = dat_gebco)$map
+#> acdc_simplify() implemented for type = 'dc'.
+# Get overall map via a simple custom approach
+map_2 <- raster::setValues(dat_gebco, 0)
+for(i in 1:nrow(depth)){
+  map_2 <- map_2 + (dat_gebco >= depth$depth[i] - 2.5 & dat_gebco <= depth$depth[i] + 2.5)
+}
+map_2 <- raster::mask(map_2, dat_gebco)
+# Show that the two overall maps are identical
+pp <- par(mfrow = c(1, 3))
+raster::plot(map_1, main = "Automated")
+raster::plot(map_2, main = "Custom")
+raster::plot(map_1 - map_2, main = "Difference")
+
+par(pp)
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dcq-1.png b/docs/reference/dcq-1.png index 5fa9ef1..bd0bf80 100644 Binary files a/docs/reference/dcq-1.png and b/docs/reference/dcq-1.png differ diff --git a/docs/reference/dcq-2.png b/docs/reference/dcq-2.png index 036b2a1..9e3238d 100644 Binary files a/docs/reference/dcq-2.png and b/docs/reference/dcq-2.png differ diff --git a/docs/reference/dcq-3.png b/docs/reference/dcq-3.png index 8437fa3..79ddca8 100644 Binary files a/docs/reference/dcq-3.png and b/docs/reference/dcq-3.png differ diff --git a/docs/reference/dcq-4.png b/docs/reference/dcq-4.png index a4d9d08..ff2743e 100644 Binary files a/docs/reference/dcq-4.png and b/docs/reference/dcq-4.png differ diff --git a/docs/reference/dcq-5.png b/docs/reference/dcq-5.png index 0e7327d..7ac9415 100644 Binary files a/docs/reference/dcq-5.png and b/docs/reference/dcq-5.png differ diff --git a/docs/reference/dcq-6.png b/docs/reference/dcq-6.png index ea02d9e..5832aa9 100644 Binary files a/docs/reference/dcq-6.png and b/docs/reference/dcq-6.png differ diff --git a/docs/reference/dcq.html b/docs/reference/dcq.html index c91aef4..b9fdeed 100644 --- a/docs/reference/dcq.html +++ b/docs/reference/dcq.html @@ -1,67 +1,12 @@ - - - - - - - -The `quick' depth-contour (DCQ) algorithm — dcq • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -The `quick' depth-contour (DCQ) algorithm — dcq • flapper - - - - + + -
    -
    - -
    - -
    +

    The `quick' depth-contour (DCQ) algorithm

    - Source: R/dcq.R + Source: R/dcq.R
    -

    This function implements the `quick' depth-contour (DCQ) algorithm. As for the DC algorithm (dc), the DCQ algorithm relates one-dimensional depth time series to a two-dimensional bathymetry surface to determine the extent to which different parts of an area might have (or have not) been used, or effectively represent occupied depths, over time. However, a modified (binning) approach is used that is much faster and normalisation is not implementedd. To implement the function, a list of depth time series, one for each time unit (e.g. month/season) need to be supplied, along with a bathymetry raster. For each time unit, the function counts the number of depth observations in each user-defined depth bin (e.g., 10 m depth bins) and then relates these counts to the local bathymetry to produce a raster in which the value of each cell is given by the number of times in which the depth bin for that cell was used. The function returns a list of rasters, one for each time unit, and a plot of these rasters, if requested.

    +

    This function implements the `quick' depth-contour (DCQ) algorithm. As for the DC algorithm (dc), the DCQ algorithm relates one-dimensional depth time series to a two-dimensional bathymetry surface to determine the extent to which different parts of an area might have (or have not) been used, or effectively represent occupied depths, over time. However, a modified (binning) approach is used that is much faster and normalisation is not implementedd. To implement the function, a list of depth time series, one for each time unit (e.g. month/season) need to be supplied, along with a bathymetry raster. For each time unit, the function counts the number of depth observations in each user-defined depth bin (e.g., 10 m depth bins) and then relates these counts to the local bathymetry to produce a raster in which the value of each cell is given by the number of times in which the depth bin for that cell was used. The function returns a list of rasters, one for each time unit, and a plot of these rasters, if requested.

    - 
    dcq(
-  archival_ls,
-  bathy,
-  bin = 10,
-  transform = NULL,
-  plot = TRUE,
-  before_plot = NULL,
-  after_plot = NULL,
-  fix_zlim = FALSE,
-  one_page = FALSE,
-  cl = NULL,
-  varlist = NULL,
-  verbose = TRUE,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    archival_ls

    A list of dataframes, with one element for each time unit (e.g., month), which contain depth time series to be related to the local bathymetry. Each dataframe should contain a column of depths (`depth') and a column that defines the time unit (`time_unit'). Depth should be recorded using absolute values in the same units as the bathymetry (see below).

    bathy

    A raster of the bathymetry in an area within which the animal is likely to have been located over the study. Bathymetry values should be recorded as absolute values and in the same units as for depths (see archival_ls).

    bin

    A number that defines the interval into which depth observations are binned. This should be provided in the same units as depths (see archival_ls) and the bathymetry (see bathy). The appropriate value of bin depends on the measurement error of the bathy data and the depth time series, the tidal range in an area, computational requirements, and scale of biological research objectives. For large depth time series and/or large, high-resolution bathymetry rasters, it can be useful to test the algorithm's speed using a relatively large bin.

    transform

    (optional) A function, such as sqrt, to transform counts. This affects the returned rasters and any plots produced (see Value). Be careful with some functions, such as log, which can generate problematic outputs (such as z axis limits if these are not defined manually), in some situations (for example, if some cells in the area are not visited).

    plot

    A logical input that defines whether or not to plot the rasters. If plot = TRUE, the function produces a plot for each time unit.

    before_plot, after_plot

    (optional) Stand-alone functions that are executed before and after the plot for each time unit is created, respectively. For example, it may be useful to plot the coast in an area before each raster is plotted, or add custom axes after each plot has been produced.

    fix_zlim, one_page, ...

    (optional) Plot customisation options. fix_zlim is a logical input that defines whether or not to fix z axis limits across all plots (to facilitate comparisons), or a vector of two numbers that define a custom range for the z axis which is fixed across all plots. fix_zlim = FALSE produces plots in which the z axis is allowed to vary flexibly between time units. one_page is a logical input that defines whether or not to produce all plots on one page; this is only implemented if there are fewer than 25 time units, beyond which there are typically to many plots to fit on one page. Additional plot customisation arguments can be passed to image.plot via ....

    cl, varlist

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    verbose

    A logical input that defines whether or not to relay messages to the console to monitor function progress.

    - -

    Value

    - -

    The function returns a named list of rasters, one for each time unit, in which the value of each cell is the number of times that that cell was represented by the corresponding depth bin in the depth time series.

    -

    See also

    - -

    This is a modified version of the DC algorithm implemented by dc. The ACDC algorithm (see acdc) extends the depth-contour algorithm by integrating information from acoustic detections of individuals at each time step to restrict the locations in which depth contours are identified.

    -

    Author

    +
    + 
    dcq(
+  archival_ls,
+  bathy,
+  bin = 10,
+  transform = NULL,
+  plot = TRUE,
+  before_plot = NULL,
+  after_plot = NULL,
+  fix_zlim = FALSE,
+  one_page = FALSE,
+  cl = NULL,
+  varlist = NULL,
+  verbose = TRUE,
+  ...
+)
    +
    + +
    +

    Arguments

    +
    archival_ls
    +

    A list of dataframes, with one element for each time unit (e.g., month), which contain depth time series to be related to the local bathymetry. Each dataframe should contain a column of depths (`depth') and a column that defines the time unit (`time_unit'). Depth should be recorded using absolute values in the same units as the bathymetry (see below).

    + + +
    bathy
    +

    A raster of the bathymetry in an area within which the animal is likely to have been located over the study. Bathymetry values should be recorded as absolute values and in the same units as for depths (see archival_ls).

    + + +
    bin
    +

    A number that defines the interval into which depth observations are binned. This should be provided in the same units as depths (see archival_ls) and the bathymetry (see bathy). The appropriate value of bin depends on the measurement error of the bathy data and the depth time series, the tidal range in an area, computational requirements, and scale of biological research objectives. For large depth time series and/or large, high-resolution bathymetry rasters, it can be useful to test the algorithm's speed using a relatively large bin.

    + + +
    transform
    +

    (optional) A function, such as sqrt, to transform counts. This affects the returned rasters and any plots produced (see Value). Be careful with some functions, such as log, which can generate problematic outputs (such as z axis limits if these are not defined manually), in some situations (for example, if some cells in the area are not visited).

    + + +
    plot
    +

    A logical input that defines whether or not to plot the rasters. If plot = TRUE, the function produces a plot for each time unit.

    + +
    before_plot, after_plot
    +

    (optional) Stand-alone functions that are executed before and after the plot for each time unit is created, respectively. For example, it may be useful to plot the coast in an area before each raster is plotted, or add custom axes after each plot has been produced.

    + + +
    fix_zlim, one_page, ...
    +

    (optional) Plot customisation options. fix_zlim is a logical input that defines whether or not to fix z axis limits across all plots (to facilitate comparisons), or a vector of two numbers that define a custom range for the z axis which is fixed across all plots. fix_zlim = FALSE produces plots in which the z axis is allowed to vary flexibly between time units. one_page is a logical input that defines whether or not to produce all plots on one page; this is only implemented if there are fewer than 25 time units, beyond which there are typically to many plots to fit on one page. Additional plot customisation arguments can be passed to image.plot via ....

    + + +
    cl, varlist
    +

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    + + +
    verbose
    +

    A logical input that defines whether or not to relay messages to the console to monitor function progress.

    + +
    +
    +

    Value

    + + +

    The function returns a named list of rasters, one for each time unit, in which the value of each cell is the number of times that that cell was represented by the corresponding depth bin in the depth time series.

    +
    +
    +

    See also

    +

    This is a modified version of the DC algorithm implemented by dc. The ACDC algorithm (see acdc) extends the depth-contour algorithm by integrating information from acoustic detections of individuals at each time step to restrict the locations in which depth contours are identified.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Define data for examples
-# Define archival time series with required columns ('depth' and 'time_unit')
-dat_archival <- dat_archival[order(dat_archival$timestamp), ]
-dat_archival$time_unit <- cut(dat_archival$timestamp, "weeks")
-# Define a list of dataframes with one element for each time unit
-archival_ls <- split(dat_archival, f = dat_archival$time_unit)
-# Define bathymetry data (and coastline data for plotting)
-bathy <- prettyGraphics::dat_gebco
-coastline <- prettyGraphics::dat_coast_around_oban
-
-#### Example (1) Implement the dcq() algorithm with 25 m bins
-dcq_maps <- dcq(archival_ls = archival_ls,
-              bathy = bathy,
-              bin = 25,
-              plot = FALSE)
-
    #> flapper::dcq() called... 
-#> ... Step 1: Checking user inputs... 
-#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
-#> ... Step 3: Translating counts of observations within depth bins into maps... 
    # The function returns a list of rasters, with one raster
-# ... for each time unit.
-dcq_maps
-
    #> $`2016-03-14`
-#> class      : RasterLayer 
-#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
-#> resolution : 0.004166667, 0.004166667  (x, y)
-#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=longlat +datum=WGS84 +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 1685  (min, max)
-#> 
-#> 
-#> $`2016-03-21`
-#> class      : RasterLayer 
-#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
-#> resolution : 0.004166667, 0.004166667  (x, y)
-#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=longlat +datum=WGS84 +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 4702  (min, max)
-#> 
-#> 
-#> $`2016-03-28`
-#> class      : RasterLayer 
-#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
-#> resolution : 0.004166667, 0.004166667  (x, y)
-#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=longlat +datum=WGS84 +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 4815  (min, max)
-#> 
-#> 
-#> $`2016-04-04`
-#> class      : RasterLayer 
-#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
-#> resolution : 0.004166667, 0.004166667  (x, y)
-#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=longlat +datum=WGS84 +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 4082  (min, max)
-#> 
-#> 
-#> $`2016-04-11`
-#> class      : RasterLayer 
-#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
-#> resolution : 0.004166667, 0.004166667  (x, y)
-#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=longlat +datum=WGS84 +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 3788  (min, max)
-#> 
-#> 
-#> $`2016-04-18`
-#> class      : RasterLayer 
-#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
-#> resolution : 0.004166667, 0.004166667  (x, y)
-#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=longlat +datum=WGS84 +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 2575  (min, max)
-#> 
-#> 
    
-#### Example (2): Implement the algorithm in parallel:
-dcq_maps <- dcq(archival_ls = archival_ls,
-              bathy = bathy,
-              bin = 25,
-              plot = FALSE,
-              cl = parallel::makeCluster(2L))
-
    #> flapper::dcq() called... 
-#> ... Step 1: Checking user inputs... 
-#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
-#> ... Step 3: Translating counts of observations within depth bins into maps... 
    
-#### Example (3): Visualise the function outputs on one page
-# ... using standard options.
-# Examine results with 25 m bin
-dcq_maps <- dcq(archival_ls = archival_ls,
-              bathy = bathy,
-              bin = 25,
-              plot = TRUE,
-              one_page = TRUE)
-
    #> flapper::dcq() called... 
-#> ... Step 1: Checking user inputs... 
-#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
-#> ... Step 3: Translating counts of observations within depth bins into maps... 
-#> ... Step 4: Mapping the results... 
    # Examine results with a higher resolution bin
-dcq_maps <- dcq(archival_ls = archival_ls,
-              bathy = bathy,
-              bin = 5,
-              plot = TRUE,
-              one_page = TRUE)
-
    #> flapper::dcq() called... 
-#> ... Step 1: Checking user inputs... 
-#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
-#> ... Step 3: Translating counts of observations within depth bins into maps... 
-#> ... Step 4: Mapping the results... 
    
-#### Example (4): Plot customisation options
-# fix zlim to be constant across all plots to enable comparability
-dcq_maps <- dcq(archival_ls = archival_ls,
-              bathy = bathy,
-              bin = 5,
-              plot = TRUE,
-              one_page = TRUE,
-              fix_zlim = TRUE)
-
    #> flapper::dcq() called... 
-#> ... Step 1: Checking user inputs... 
-#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
-#> ... Step 3: Translating counts of observations within depth bins into maps... 
-#> ... Step 4: Mapping the results... 
    # fix zlim using custom limits across all plots
-dcq_maps <- dcq(archival_ls = archival_ls,
-              bathy = bathy,
-              bin = 5,
-              plot = TRUE,
-              one_page = TRUE,
-              fix_zlim = c(0, 5000))
-
    #> flapper::dcq() called... 
-#> ... Step 1: Checking user inputs... 
-#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
-#> ... Step 3: Translating counts of observations within depth bins into maps... 
-#> ... Step 4: Mapping the results... 
    # Transform the returned and plotted rasters by supplying a function to the
-# ... transform argument
-dcq_maps <- dcq(archival_ls = archival_ls,
-              bathy = bathy,
-              bin = 5,
-              plot = TRUE,
-              one_page = TRUE,
-              transform = sqrt)
-
    #> flapper::dcq() called... 
-#> ... Step 1: Checking user inputs... 
-#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
-#> ... Step 3: Translating counts of observations within depth bins into maps... 
-#> ... Step 4: Mapping the results... 
    # Customise the plot further via before_plot, after_plot functions
-# ... and other arguments passed via ... E.g., note the need to include
-# ... add = TRUE because the raster plot is added to the plot of the coastline.
-dcq_maps <- dcq(archival_ls = archival_ls,
-              bathy = bathy,
-              bin = 5,
-              plot = TRUE,
-              one_page = TRUE,
-              transform = sqrt,
-              fix_zlim = FALSE,
-              before_plot = function(x) raster::plot(coastline),
-              after_plot = function(x) raster::lines(coastline),
-              add = TRUE,
-              col = topo.colors(100))
-
    #> flapper::dcq() called... 
-#> ... Step 1: Checking user inputs... 
-#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
-#> ... Step 3: Translating counts of observations within depth bins into maps... 
-#> ... Step 4: Mapping the results... 
    #> Warning: Discarded datum WGS_1984 in CRS definition,
-#>  but +towgs84= values preserved
    
-
    +
    +

    Examples

    + 
    #### Define data for examples
+# Define archival time series with required columns ('depth' and 'time_unit')
+dat_archival <- dat_archival[order(dat_archival$timestamp), ]
+dat_archival$time_unit <- cut(dat_archival$timestamp, "weeks")
+# Define a list of dataframes with one element for each time unit
+archival_ls <- split(dat_archival, f = dat_archival$time_unit)
+# Define bathymetry data (and coastline data for plotting)
+bathy <- prettyGraphics::dat_gebco
+coastline <- prettyGraphics::dat_coast_around_oban
+
+#### Example (1) Implement the dcq() algorithm with 25 m bins
+dcq_maps <- dcq(archival_ls = archival_ls,
+              bathy = bathy,
+              bin = 25,
+              plot = FALSE)
+#> flapper::dcq() called... 
+#> ... Step 1: Checking user inputs... 
+#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
+#> ... Step 3: Translating counts of observations within depth bins into maps... 
+# The function returns a list of rasters, with one raster
+# ... for each time unit.
+dcq_maps
+#> $`2016-03-14`
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 1685  (min, max)
+#> 
+#> 
+#> $`2016-03-21`
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 4702  (min, max)
+#> 
+#> 
+#> $`2016-03-28`
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 4815  (min, max)
+#> 
+#> 
+#> $`2016-04-04`
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 4082  (min, max)
+#> 
+#> 
+#> $`2016-04-11`
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 3788  (min, max)
+#> 
+#> 
+#> $`2016-04-18`
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 2575  (min, max)
+#> 
+#> 
+
+#### Example (2): Implement the algorithm in parallel:
+dcq_maps <- dcq(archival_ls = archival_ls,
+              bathy = bathy,
+              bin = 25,
+              plot = FALSE,
+              cl = parallel::makeCluster(2L))
+#> flapper::dcq() called... 
+#> ... Step 1: Checking user inputs... 
+#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
+#> ... Step 3: Translating counts of observations within depth bins into maps... 
+
+#### Example (3): Visualise the function outputs on one page
+# ... using standard options.
+# Examine results with 25 m bin
+dcq_maps <- dcq(archival_ls = archival_ls,
+              bathy = bathy,
+              bin = 25,
+              plot = TRUE,
+              one_page = TRUE)
+#> flapper::dcq() called... 
+#> ... Step 1: Checking user inputs... 
+#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
+#> ... Step 3: Translating counts of observations within depth bins into maps... 
+#> ... Step 4: Mapping the results... 
+
+# Examine results with a higher resolution bin
+dcq_maps <- dcq(archival_ls = archival_ls,
+              bathy = bathy,
+              bin = 5,
+              plot = TRUE,
+              one_page = TRUE)
+#> flapper::dcq() called... 
+#> ... Step 1: Checking user inputs... 
+#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
+#> ... Step 3: Translating counts of observations within depth bins into maps... 
+#> ... Step 4: Mapping the results... 
+
+
+#### Example (4): Plot customisation options
+# fix zlim to be constant across all plots to enable comparability
+dcq_maps <- dcq(archival_ls = archival_ls,
+              bathy = bathy,
+              bin = 5,
+              plot = TRUE,
+              one_page = TRUE,
+              fix_zlim = TRUE)
+#> flapper::dcq() called... 
+#> ... Step 1: Checking user inputs... 
+#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
+#> ... Step 3: Translating counts of observations within depth bins into maps... 
+#> ... Step 4: Mapping the results... 
+
+# fix zlim using custom limits across all plots
+dcq_maps <- dcq(archival_ls = archival_ls,
+              bathy = bathy,
+              bin = 5,
+              plot = TRUE,
+              one_page = TRUE,
+              fix_zlim = c(0, 5000))
+#> flapper::dcq() called... 
+#> ... Step 1: Checking user inputs... 
+#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
+#> ... Step 3: Translating counts of observations within depth bins into maps... 
+#> ... Step 4: Mapping the results... 
+
+# Transform the returned and plotted rasters by supplying a function to the
+# ... transform argument
+dcq_maps <- dcq(archival_ls = archival_ls,
+              bathy = bathy,
+              bin = 5,
+              plot = TRUE,
+              one_page = TRUE,
+              transform = sqrt)
+#> flapper::dcq() called... 
+#> ... Step 1: Checking user inputs... 
+#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
+#> ... Step 3: Translating counts of observations within depth bins into maps... 
+#> ... Step 4: Mapping the results... 
+
+# Customise the plot further via before_plot, after_plot functions
+# ... and other arguments passed via ... E.g., note the need to include
+# ... add = TRUE because the raster plot is added to the plot of the coastline.
+dcq_maps <- dcq(archival_ls = archival_ls,
+              bathy = bathy,
+              bin = 5,
+              plot = TRUE,
+              one_page = TRUE,
+              transform = sqrt,
+              fix_zlim = FALSE,
+              before_plot = function(x) raster::plot(coastline),
+              after_plot = function(x) raster::lines(coastline),
+              add = TRUE,
+              col = topo.colors(100))
+#> flapper::dcq() called... 
+#> ... Step 1: Checking user inputs... 
+#> ... Step 2: Calculating the number of observations within each depth bin for each time unit... 
+#> ... Step 3: Translating counts of observations within depth bins into maps... 
+#> ... Step 4: Mapping the results... 
+
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dist_btw_clicks.html b/docs/reference/dist_btw_clicks.html index 97f17ca..6ea5410 100644 --- a/docs/reference/dist_btw_clicks.html +++ b/docs/reference/dist_btw_clicks.html @@ -1,67 +1,12 @@ - - - - - - - -Calculate the distance between sequential mouse clicks on a map — dist_btw_clicks • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate the distance between sequential mouse clicks on a map — dist_btw_clicks • flapper - - + + - - -
    -
    - -
    - -
    +

    Calculate the distance between sequential mouse clicks on a map

    - Source: R/dists.R + Source: R/dists.R
    -

    This function calculates the distance between sequential mouse clicks on a plotted map, by combining locator with a distance calculator, such as pointDistance.

    +

    This function calculates the distance between sequential mouse clicks on a plotted map, by combining locator with a distance calculator, such as pointDistance.

    - 
    dist_btw_clicks(
-  calc_distance = raster::pointDistance,
-  ...,
-  add_paths = list(length = 0.025)
-)
    - -

    Arguments

    - - - - - - - - - - - - - - -
    calc_distance

    A function that calculates distances between two sets of points, such as pointDistance. The first two arguments of this function must accept a dataframe comprising the x and y coordinates of the first and second set of points respectively. The function must return a numeric vector of distances between these.

    ...

    Additional arguments passed to calc_distance, such as lonlat for pointDistance.

    add_paths

    (optional) A named list of arguments, passed to add_sp_path, to customise the paths added to the plot. add_paths = NULL suppresses this option.

    - -

    Value

    - -

    The function returns a dataframe with an integer ID for each path segment (`segment'), the first and second x and y coordinates (`x', `x2', `y', `y2`) and the distances between these points (`dist'). If add_paths is not NULL, the segments are drawn on the map.

    -

    Author

    +
    + 
    dist_btw_clicks(
+  calc_distance = raster::pointDistance,
+  ...,
+  add_paths = list(length = 0.025)
+)
    +
    -

    Edward Lavender

    +
    +

    Arguments

    +
    calc_distance
    +

    A function that calculates distances between two sets of points, such as pointDistance. The first two arguments of this function must accept a dataframe comprising the x and y coordinates of the first and second set of points respectively. The function must return a numeric vector of distances between these.

    -

    Examples

    - 
    if (FALSE) {
-raster::plot(dat_gebco)
-dist_btw_clicks(lonlat = FALSE)
-}
 
-
    +
    ...
    +

    Additional arguments passed to calc_distance, such as lonlat for pointDistance.

    + + +
    add_paths
    +

    (optional) A named list of arguments, passed to add_sp_path, to customise the paths added to the plot. add_paths = NULL suppresses this option.

    + +
    +
    +

    Value

    + + +

    The function returns a dataframe with an integer ID for each path segment (`segment'), the first and second x and y coordinates (`x', `x2', `y', `y2`) and the distances between these points (`dist'). If add_paths is not NULL, the segments are drawn on the map.

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    + +
    +

    Examples

    + 
    if (FALSE) {
+raster::plot(dat_gebco)
+dist_btw_clicks(lonlat = FALSE)
+}
+
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dist_btw_points_3d.html b/docs/reference/dist_btw_points_3d.html index ab8bf82..6d53e23 100644 --- a/docs/reference/dist_btw_points_3d.html +++ b/docs/reference/dist_btw_points_3d.html @@ -1,67 +1,12 @@ - - - - - - - -Calculate the Euclidean distance between points in three-dimensional space. — dist_btw_points_3d • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate the Euclidean distance(s) between points in three-dimensional space. — dist_btw_points_3d • flapper - + + - - - -
    -
    - -
    - -
    +
    -

    Calculate the Euclidean distance between points in three-dimensional space.

    - Source: R/dists.R +

    Calculate the Euclidean distance(s) between points in three-dimensional space.

    + Source: R/dists.R
    -

    This function returns the Euclidean distance between points in three-dimensional space.

    +

    This function calculates the Euclidean distance(s) between points in three-dimensional space.

    - 
    dist_btw_points_3d(x1, x2, y1, y2, z1, z2)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - -
    x1

    A number that defines the x-coordinate of the first point.

    x2

    A number that defines the x-coordinate of the second point.

    y1

    A number that defines the y-coordinate of the first point.

    y2

    A number that defines the y-coordinate of the second point.

    z1

    A number that defines the z-coordinate of the first point.

    z2

    A number that defines the z-coordinate of the second point.

    - -

    Value

    - -

    A number that is equal to the Euclidean distance between points in three-dimensional space.

    -

    Details

    - -

    The distance between two points in three dimensional space is given by Pythagoras' Theorem: \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}\).

    -

    Author

    +
    + 
    dist_btw_points_3d(x1, x2, y1, y2, z1, z2)
    +
    + +
    +

    Arguments

    +
    x1
    +

    A numeric vector that defines the x-coordinate(s) of the origin (for each point pair).

    + + +
    x2
    +

    A numeric vector that defines the x-coordinate(s) of the destination (for each point pair).

    + + +
    y1
    +

    A numeric vector that defines the y-coordinate(s) of the origin (for each point pair).

    + +
    y2
    +

    A numeric vector that defines the y-coordinate(s) of the destination (for each point pair).

    + + +
    z1
    +

    A numeric vector that defines the z-coordinate(s) of the origin (for each point pair).

    + + +
    z2
    +

    A numeric vector that defines the z-coordinate(s) of the destination (for each point pair).

    + +
    +
    +

    Value

    + + +

    The function returns a numeric vector that is equal to the Euclidean distance(s) between each pair of points in three-dimensional space.

    +
    +
    +

    Details

    +

    The distance between any two points in three dimensional space is given by Pythagoras' Theorem: \(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}\).

    +

    This function does not currently support non-planar coordinates.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    dist_btw_points_3d(1, 2, 1, 2, 1, 2)
-
    #> [1] 1.732051
    +
    +

    Examples

    + 
    #### Example (1): A single pair of points
+dist_btw_points_3d(1, 2, 1, 2, 1, 2)
+#> [1] 1.732051
+sqrt((2 - 1)^2 + (2 - 1)^2 + (2 - 1)^2)
+#> [1] 1.732051
+
+#### Example (2): Multiple pairs of points (e.g., an animal movement path)
+xy <- data.frame(x = c(1, 2, 3, 4),
+                 y = c(1, 2, 3, 4),
+                 z = c(1, 2, 3, 4))
+dist_btw_points_3d(xy$x, dplyr::lead(xy$x),
+                   xy$y, dplyr::lead(xy$y),
+                   xy$z, dplyr::lead(xy$z))
+#> [1] 1.732051 1.732051 1.732051       NA
+
    +
    +
    -
    -
    -

    Developed by Edward Lavender.

    +
    +

    Developed by Edward Lavender.

    -

    Site built with pkgdown 1.6.1.

    +

    Site built with pkgdown 2.0.7.

    -
    -
    +
    - - + + diff --git a/docs/reference/dist_btw_receivers.html b/docs/reference/dist_btw_receivers.html index 39322ed..ae6426a 100644 --- a/docs/reference/dist_btw_receivers.html +++ b/docs/reference/dist_btw_receivers.html @@ -1,67 +1,12 @@ - - - - - - - -Compute Euclidean distances between receivers — dist_btw_receivers • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Compute Euclidean distances between receivers — dist_btw_receivers • flapper - - + + - - -
    -
    - -
    - -
    +

    Compute Euclidean distances between receivers

    - Source: R/dists.R + Source: R/dists.R
    @@ -123,89 +65,386 @@

    Compute Euclidean distances between receivers

    This function computes Euclidean distances (km) between all combinations of receivers.

    - 
    dist_btw_receivers(moorings, f = NULL)
    +
    + 
    dist_btw_receivers(moorings, f = NULL, return = c("data.frame", "matrix"))
    +
    + +
    +

    Arguments

    +
    moorings
    +

    A dataframe that defines each unique receiver deployment. This should contain the columns: `receiver_id', a unique identifier of each receiver; `receiver_long' or `receiver_easting', the longitude or easting of that receiver; and `receiver_lat' or `receiver_northing', the latitude or northing that receiver (see dat_moorings).

    + -

    Arguments

    - - - - - - - - - - -
    moorings

    A dataframe which defines each unique receiver deployment. This should contain the columns: `receiver_id', a unique identifier of each receiver, `receiver_lat', the latitude of that receiver in decimal degrees; and `receiver_long', the longitude of that receiver in decimal degrees (see dat_moorings).

    f

    (optional) A function which is used to process distances before these are returned. For example, it may be useful to round distances to nearest km with f = function(x) round(x, digits = 0).

    +
    f
    +

    (optional) A function to process distances. For example, round distances to the nearest km with f = function(x) round(x, digits = 0) or simply round.

    -

    Value

    -

    The function returns a dataframe with columns `r1', `r2' and `dist'. These define the IDs of each combination of receivers and the associated distance between them, in km. Note that the dataframe contains duplicate combinations of receivers (e.g., both r1 = 1 and r2 = 2 and r1 = 2 and r2 = 1).

    -

    Author

    +
    return
    +

    A character that defines the class of the returned object ("data.frame" or "matrix").

    +
    +
    +

    Value

    + + +

    The function returns a dataframe, with columns `r1', `r2' and `dist', or a matrix. Dataframe columns define the IDs of each combination of receivers and the associated distance between them, in km (or map units/1000). Note that the dataframe contains duplicate combinations of receivers (e.g., both r1 = 1 and r2 = 2 and r1 = 2 and r2 = 1). Alternatively, matrix rows and columns define receiver IDs and cell values give distances between each combination.

    +
    +
    +

    Details

    +

    Distances are calculated via pointDistance. If moorings contains `receiver_long' and `receiver_lat', pointDistance is implemented with lonlat = TRUE and distances are in km; otherwise lonlat = FALSE and distances are in map units over 1000 (i.e., km if map units are metres).

    +

    To calculate distances between specific receiver pairs, call pointDistance directly.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Compute distances between all combinations of receivers in km
-# Define dataframe with required columns
-dat <- data.frame(receiver_id = dat_moorings$receiver_id,
-                  receiver_lat = dat_moorings$receiver_lat,
-                  receiver_long = dat_moorings$receiver_long)
-# Compute distances
-dist_btw_receivers_km <- dist_btw_receivers(dat)
-head(dist_btw_receivers_km)
-
    #>   r1 r2      dist
-#> 1  3  3  0.000000
-#> 2  4  3 14.111344
-#> 3  7  3 15.308019
-#> 4  9  3  0.542825
-#> 5 11  3 13.765477
-#> 6 12  3 13.796536
    
-#### Example (2): Post-process distances via the f argument
-dist_btw_receivers_km_round <- dist_btw_receivers(dat, f = round)
-head(dist_btw_receivers_km_round)
-
    #>   r1 r2 dist
-#> 1  3  3    0
-#> 2  4  3   14
-#> 3  7  3   15
-#> 4  9  3    1
-#> 5 11  3   14
-#> 6 12  3   14
    # convert distances to m
-dist_btw_receivers_m <- dist_btw_receivers(dat, f = function(x) x*1000)
-head(dist_btw_receivers_m)
-
    #>   r1 r2      dist
-#> 1  3  3     0.000
-#> 2  4  3 14111.344
-#> 3  7  3 15308.019
-#> 4  9  3   542.825
-#> 5 11  3 13765.477
-#> 6 12  3 13796.536
    
-
    +
    +

    Examples

    + 
    #### Example (1): Implementation using lat/long coordinates
+dat <- data.frame(receiver_id = dat_moorings$receiver_id,
+                  receiver_long = dat_moorings$receiver_long,
+                  receiver_lat = dat_moorings$receiver_lat
+                  )
+# Compute distances
+dist_btw_receivers_km <- dist_btw_receivers(dat)
+head(dist_btw_receivers_km)
+#>   r1 r2      dist
+#> 1  3  3  0.000000
+#> 2  4  3 14.111344
+#> 3  7  3 15.308019
+#> 4  9  3  0.542825
+#> 5 11  3 13.765477
+#> 6 12  3 13.796536
+
+#### Example (2): Implementation using planar coordinates
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
+xy         <- sp::SpatialPoints(dat[, c("receiver_long", "receiver_lat")],
+                                proj_wgs84)
+xy         <- sp::spTransform(xy, proj_utm)
+xy         <- sp::coordinates(xy)
+dat <- data.frame(receiver_id = dat_moorings$receiver_id,
+                  receiver_easting = xy[, 1],
+                  receiver_northing = xy[, 2])
+head(dist_btw_receivers(dat))
+#>   r1 r2       dist
+#> 1  3  3  0.0000000
+#> 2  4  3 14.1131960
+#> 3  7  3 15.3099894
+#> 4  9  3  0.5428911
+#> 5 11  3 13.7672055
+#> 6 12  3 13.7983575
+
+#### Example (3): Post-process distances via the f argument
+dist_btw_receivers_km_round <- dist_btw_receivers(dat, f = round)
+head(dist_btw_receivers_km_round)
+#>   r1 r2 dist
+#> 1  3  3    0
+#> 2  4  3   14
+#> 3  7  3   15
+#> 4  9  3    1
+#> 5 11  3   14
+#> 6 12  3   14
+# convert distances to m
+dist_btw_receivers_m <- dist_btw_receivers(dat, f = function(x) x*1000)
+head(dist_btw_receivers_m)
+#>   r1 r2       dist
+#> 1  3  3     0.0000
+#> 2  4  3 14113.1960
+#> 3  7  3 15309.9894
+#> 4  9  3   542.8911
+#> 5 11  3 13767.2055
+#> 6 12  3 13798.3575
+
+#### Example (4) Return distances in a matrix
+# Get distances
+dist_btw_receivers(dat, return = "matrix")
+#>             3          4         7          9        11         12         14
+#> 3   0.0000000 14.1131960 15.309989  0.5428911 13.767205 13.7983575 12.6143165
+#> 4  14.1131960  0.0000000  1.717948 13.9034731  2.215489  0.5158684  6.3031421
+#> 7  15.3099894  1.7179478  0.000000 15.0580751  1.873918  2.2331738  5.8899781
+#> 9   0.5428911 13.9034731 15.058075  0.0000000 13.481255 13.6037023 12.2017218
+#> 11 13.7672055  2.2154890  1.873918 13.4812546  0.000000  2.5660837  4.1767712
+#> 12 13.7983575  0.5158684  2.233174 13.6037023  2.566084  0.0000000  6.5371715
+#> 14 12.6143165  6.3031421  5.889978 12.2017218  4.176771  6.5371715  0.0000000
+#> 18  8.5441944  5.5722752  6.864123  8.3492873  5.554672  5.2557499  6.4001268
+#> 20 11.5955654  7.7771471  7.562382 11.1432486  5.769735  7.9414306  1.7771052
+#> 21  2.5467428 14.9105530 16.286249  3.0823472 14.924666 14.5312253 14.3819801
+#> 23 11.9185942  7.2878539  7.014934 11.4790917  5.241995  7.4729726  1.1972754
+#> 24  8.8755381  5.2973710  6.682056  8.7076910  5.500435  4.9442922  6.7183667
+#> 26  2.9396514 14.6181256 16.028093  3.4556398 14.712752 14.2267075 14.3350204
+#> 27  4.2871757 18.2836191 19.392210  4.3998996 17.762543 17.9934339 16.0658454
+#> 29 15.1933708 10.1459903  9.298340 14.7071607  7.930895 10.4655416  4.2037585
+#> 30  1.7195617 14.9534529 16.263879  2.2620589 14.826364 14.5973982 14.0221915
+#> 31  3.3966631 14.4509808 15.893473  3.8958907 14.624906 14.0478467 14.4018070
+#> 33  1.0282054 14.5084817 15.779969  1.5705932 14.304541 14.1667948 13.3872340
+#> 35  9.5241889  4.5906708  5.852923  9.3134393  4.562023  4.2986239  5.8062375
+#> 36  3.1433774 12.6684020 14.089550  3.4695071 12.804383 12.2751456 12.6410027
+#> 37  2.2446477 16.1831886 17.440281  2.6739513 15.941962 15.8444418 14.8577172
+#> 38  8.0904421  6.0738849  7.220449  7.8505363  5.744775  5.8104488  5.9785146
+#> 39 11.2689782  5.0910638  5.222467 10.9058152  3.348552  5.1924047  2.0209296
+#> 40 14.4707081  0.5574851  1.161366 14.2457623  1.927402  1.0733398  6.0946835
+#> 41 12.8648683  6.2954818  5.814749 12.4525123  4.141283  6.5472923  0.2508392
+#> 43  1.9040241 14.9806280 16.305051  2.4469151 14.882729 14.6195669 14.1305212
+#> 44 13.1823564  1.0990698  2.786249 12.9950847  2.752657  0.6425807  6.4783178
+#> 45  2.7069880 14.2293917 15.629983  3.2010389 14.304739 13.8417960 13.9169172
+#> 46 12.2513617  7.5334929  7.177464 11.8053208  5.444070  7.7391213  1.2892746
+#> 47 12.7982019  6.8895828  6.414011 12.3695947  4.742132  7.1334403  0.6090173
+#> 48  0.7690849 14.2203232 15.478670  1.2975298 13.991965 13.8836922 13.0490347
+#> 49  0.3065824 13.8679112 15.049961  0.3158502 13.495968 13.5586419 12.3124712
+#> 50  7.2044442  6.9162041  8.123945  6.9873150  6.680230  6.6220023  6.7749247
+#> 51  7.0484015  7.1834570  8.275751  6.7829129  6.723945  6.9309852  6.3811872
+#> 52 12.5533132  7.2741439  6.852281 12.1142782  5.151727  7.4999671  0.9751503
+#> 53  0.6743504 13.7016843 14.853815  0.2051285 13.276169 13.4031439 12.0053568
+#> 54 11.9577584  7.7413732  7.447368 11.5062344  5.686416  7.9281017  1.5845003
+#> 55  3.9842618 14.3738782 15.853354  4.4706648 14.642115 13.9571616 14.5946810
+#> 56  3.2286348 14.4306359 15.862762  3.7290974 14.579379 14.0313218 14.3118579
+#> 57  2.2978079 14.9207937 16.277994  2.8369614 14.893806 14.5480972 14.2752829
+#>            18         20         21         23         24         26        27
+#> 3   8.5441944 11.5955654  2.5467428 11.9185942  8.8755381  2.9396514  4.287176
+#> 4   5.5722752  7.7771471 14.9105530  7.2878539  5.2973710 14.6181256 18.283619
+#> 7   6.8641227  7.5623816 16.2862487  7.0149340  6.6820561 16.0280934 19.392210
+#> 9   8.3492873 11.1432486  3.0823472 11.4790917  8.7076910  3.4556398  4.399900
+#> 11  5.5546723  5.7697354 14.9246663  5.2419948  5.5004348 14.7127515 17.762543
+#> 12  5.2557499  7.9414306 14.5312253  7.4729726  4.9442922 14.2267075 17.993434
+#> 14  6.4001268  1.7771052 14.3819801  1.1972754  6.7183667 14.3350204 16.065845
+#> 18  0.0000000  6.6343207  9.4252455  6.5176997  0.5715894  9.1828106 12.742700
+#> 20  6.6343207  0.0000000 13.5652507  0.5800208  7.0648374 13.5861682 14.779500
+#> 21  9.4252455 13.5652507  0.0000000 13.8229079  9.6226357  0.5941759  5.058317
+#> 23  6.5176997  0.5800208 13.8229079  0.0000000  6.9154412 13.8210510 15.196923
+#> 24  0.5715894  7.0648374  9.6226357  6.9154412  0.0000000  9.3493275 13.107267
+#> 26  9.1828106 13.5861682  0.5941759 13.8210510  9.3493275  0.0000000  5.650887
+#> 27 12.7427001 14.7794998  5.0583170 15.1969235 13.1072672  5.6508874  0.000000
+#> 29 10.4295924  3.9336823 17.3115575  3.9244103 10.8069138 17.3760037 17.967781
+#> 30  9.4072217 13.1086707  0.9505920 13.3982991  9.6570826  1.4959053  4.305071
+#> 31  9.0767872 13.7144767  1.1293533 13.9289265  9.2118566  0.5389791  6.176484
+#> 33  8.9433235 12.4433081  1.5324423 12.7422442  9.2226415  1.9765695  4.313521
+#> 35  1.0121331  6.2883898 10.4373786  6.0899556  0.9912009 10.1933948 13.697791
+#> 36  7.2594392 12.0265374  2.3160579 12.2135832  7.4079678  1.9521826  6.959990
+#> 37 10.6149380 13.8171672  2.1234042 14.1506146 10.9006918  2.7168827  2.935873
+#> 38  0.8820582  6.0122167  9.1876015  5.9553039  1.4536411  8.9966650 12.215710
+#> 39  4.3990180  2.8356371 12.8242454  2.4707686  4.7001861 12.7227312 14.997975
+#> 40  5.9498253  7.6404103 15.3330973  7.1299387  5.7105335 15.0530556 18.612736
+#> 41  6.5918782  1.9512598 14.6286311  1.3736142  6.8979845 14.5795987 16.314584
+#> 43  9.4441668 13.2353242  0.7548355 13.5189459  9.6832788  1.3133578  4.428784
+#> 44  4.6460224  7.7807680 13.8926678  7.3419109  4.3174804 13.5859672 17.388521
+#> 45  8.7798392 13.1740229  0.7670158 13.4062712  8.9539771  0.4189289  5.744716
+#> 46  6.9261733  0.7015680 14.1840752  0.4117529  7.3200967 14.1902813 15.473132
+#> 47  6.9041463  1.5085177 14.6408855  0.9735764  7.2446345 14.6162630 16.140995
+#> 48  8.6514109 12.1032117  1.7856984 12.4022581  8.9408582  2.1714875  4.470249
+#> 49  8.3030154 11.2894320  2.7882141 11.6134124  8.6448837  3.1475690  4.483335
+#> 50  1.3942939  6.6379968  8.2476938  6.6430539  1.8618772  8.0550068 11.371998
+#> 51  1.8845501  6.0960933  8.3040385  6.1463774  2.4219760  8.1611042 11.125992
+#> 52  6.9699872  1.0898436 14.4489966  0.6352526  7.3396367 14.4420664 15.824035
+#> 53  8.1492723 10.9557113  3.1695348 11.2882094  8.5103522  3.5153974  4.596943
+#> 54  6.8626245  0.3638950 13.9200456  0.4552630  7.2771183 13.9371404 15.140777
+#> 55  9.0875228 13.9749019  1.7400480 14.1671548  9.1845057  1.1576856  6.761111
+#> 56  9.0356434 13.6084948  0.9855479 13.8281547  9.1807226  0.3913964  6.041726
+#> 57  9.4140802 13.4304238  0.2768433 13.6973548  9.6269808  0.8471860  4.829450
+#>           29         30         31         33         35        36        37
+#> 3  15.193371  1.7195617  3.3966631  1.0282054  9.5241889  3.143377  2.244648
+#> 4  10.145990 14.9534529 14.4509808 14.5084817  4.5906708 12.668402 16.183189
+#> 7   9.298340 16.2638786 15.8934728 15.7799692  5.8529228 14.089550 17.440281
+#> 9  14.707161  2.2620589  3.8958907  1.5705932  9.3134393  3.469507  2.673951
+#> 11  7.930895 14.8263639 14.6249061 14.3045405  4.5620228 12.804383 15.941962
+#> 12 10.465542 14.5973982 14.0478467 14.1667948  4.2986239 12.275146 15.844442
+#> 14  4.203759 14.0221915 14.4018070 13.3872340  5.8062375 12.641003 14.857717
+#> 18 10.429592  9.4072217  9.0767872  8.9433235  1.0121331  7.259439 10.614938
+#> 20  3.933682 13.1086707 13.7144767 12.4433081  6.2883898 12.026537 13.817167
+#> 21 17.311558  0.9505920  1.1293533  1.5324423 10.4373786  2.316058  2.123404
+#> 23  3.924410 13.3982991 13.9289265 12.7422442  6.0899556 12.213583 14.150615
+#> 24 10.806914  9.6570826  9.2118566  9.2226415  0.9912009  7.407968 10.900692
+#> 26 17.376004  1.4959053  0.5389791  1.9765695 10.1933948  1.952183  2.716883
+#> 27 17.967781  4.3050710  6.1764841  4.3135212 13.6977907  6.959990  2.935873
+#> 29  0.000000 16.7848390 17.5376097 16.1003293  9.9417673 15.891320 17.363549
+#> 30 16.784839  0.0000000  2.0300421  0.7032578 10.4146972  2.709543  1.421747
+#> 31 17.537610  2.0300421  0.0000000  2.4718836 10.0827789  1.822556  3.246255
+#> 33 16.100329  0.7032578  2.4718836  0.0000000  9.9440344  2.669906  1.680246
+#> 35  9.941767 10.4146972 10.0827789  9.9440344  0.0000000  8.267202 11.612774
+#> 36 15.891320  2.7095430  1.8225556  2.6699059  8.2672016  0.000000  4.130797
+#> 37 17.363549  1.4217469  3.2462551  1.6802459 11.6127738  4.130797  0.000000
+#> 38  9.879638  9.0840532  8.9417191  8.5744293  1.5365369  7.120138 10.226060
+#> 39  6.180323 12.5538927 12.7424016 11.9554799  3.7858384 10.946645 13.505982
+#> 40  9.824117 15.3523494 14.8978024 14.8930648  4.9516918 13.106402 16.563636
+#> 41  4.092524 14.2711807 14.6441626 13.6368298  5.9751782 12.881003 15.108330
+#> 43 16.925416  0.2011203  1.8505701  0.8789086 10.4533741  2.640074  1.514974
+#> 44 10.511112 13.9650314 13.4057523 13.5394528  3.7069575 11.634237 15.217920
+#> 45 16.969997  1.4710768  0.6969503  1.8134643  9.7910313  1.579640  2.815450
+#> 46  3.512852 13.7466371 14.3047315 13.0864122  6.4871019 12.596928 14.478550
+#> 47  3.616977 14.2470410 14.7027135 13.6001825  6.3506815 12.961258 15.036451
+#> 48 15.762471  1.0293418  2.6362800  0.3401205  9.6491402  2.598061  1.963660
+#> 49 14.887480  1.9970330  3.5828216  1.2965528  9.2775164  3.175786  2.545294
+#> 50 10.552456  8.1560280  8.0021918  7.6573751  2.3263660  6.181224  9.316399
+#> 51 10.026748  8.1298756  8.1553625  7.5881421  2.6630612  6.350732  9.218546
+#> 52  3.467953 14.0297916 14.5445259 13.3749368  6.4762760 12.821446 14.785696
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+#> 54  3.634449 13.4677830 14.0615544 12.8034047  6.4737130 12.367432 14.180120
+#> 55 17.828601  2.6517570  0.6220397  3.0832014 10.0841571  1.955337  3.840910
+#> 56 17.423824  1.8699919  0.1687610  2.3034980 10.0433981  1.776227  3.108141
+#> 57 17.157707  0.6737893  1.3861601  1.2751459 10.4258187  2.402373  1.894413
+#>            38        39         40         41         43         44         45
+#> 3   8.0904421 11.268978 14.4707081 12.8648683  1.9040241 13.1823564  2.7069880
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+#> 7   7.2204494  5.222467  1.1613657  5.8147493 16.3050509  2.7862494 15.6299827
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+#> 14  5.9785146  2.020930  6.0946835  0.2508392 14.1305212  6.4783178 13.9169172
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+#> 21  9.1876015 12.824245 15.3330973 14.6286311  0.7548355 13.8926678  0.7670158
+#> 23  5.9553039  2.470769  7.1299387  1.3736142 13.5189459  7.3419109 13.4062712
+#> 24  1.4536411  4.700186  5.7105335  6.8979845  9.6832788  4.3174804  8.9539771
+#> 26  8.9966650 12.722731 15.0530556 14.5795987  1.3133578 13.5859672  0.4189289
+#> 27 12.2157099 14.997975 18.6127356 16.3145838  4.4287844 17.3885212  5.7447163
+#> 29  9.8796383  6.180323  9.8241166  4.0925235 16.9254162 10.5111115 16.9699971
+#> 30  9.0840532 12.553893 15.3523494 14.2711807  0.2011203 13.9650314  1.4710768
+#> 31  8.9417191 12.742402 14.8978024 14.6441626  1.8505701 13.4057523  0.6969503
+#> 33  8.5744293 11.955480 14.8930648 13.6368298  0.8789086 13.5394528  1.8134643
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+#> 36  7.1201383 10.946645 13.1064025 12.8810027  2.6400742 11.6342373  1.5796396
+#> 37 10.2260596 13.505982 16.5636361 15.1083296  1.5149736 15.2179201  2.8154499
+#> 38  0.0000000  4.045125  6.3977465  6.1888126  9.1384154  5.2318757  8.5844977
+#> 39  4.0451247  0.000000  5.0445940  2.1981565 12.6441190  4.9772072 12.3039767
+#> 40  6.3977465  5.044594  0.0000000  6.0662961 15.3845979  1.6339604 14.6606891
+#> 41  6.1888126  2.198157  6.0662961  0.0000000 14.3791296  6.5130004 14.1613955
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+#> 44  5.2318757  4.977207  1.6339604  6.5130004 13.9856650  0.0000000 13.2016915
+#> 45  8.5844977 12.303977 14.6606891 14.1613955  1.3217280 13.2016915  0.0000000
+#> 46  6.3669712  2.827465  7.3509968  1.4024796 13.8698358  7.6334018 13.7763107
+#> 47  6.4384778  2.570601  6.6662619  0.6021222 14.3620266  7.0836007 14.1994540
+#> 48  8.2676077 11.623625 14.5999794 13.2986976  1.1915451 13.2583384  1.9525515
+#> 49  7.8329277 10.976505 14.2199538 12.5630720  2.1754080 12.9453429  2.8873841
+#> 50  0.9416665  4.898327  7.2662898  6.9950501  8.2070347  6.0220304  7.6428421
+#> 51  1.1269773  4.601098  7.4913654  6.6112916  8.1977942  6.3568247  7.7438610
+#> 52  6.4530201  2.740853  7.0697301  1.0424705 14.1495871  7.4228912 14.0267357
+#> 53  7.6472156 10.703238 14.0429119 12.2561204  2.5613772 12.7952271  3.2415055
+#> 54  6.2674672  2.908752  7.5794275  1.7256446 13.5937224  7.7964032 13.5244679
+#> 55  9.0126567 12.886215 14.8343750 14.8342197  2.4709765 13.3145928  1.2793841
+#> 56  8.8849309 12.665066 14.8736246 14.5548406  1.6934175 13.3895816  0.5335230
+#> 57  9.1513335 12.742597 15.3366129 14.5227027  0.4783430 13.9110553  0.9306502
+#>            46         47         48         49         50        51         52
+#> 3  12.2513617 12.7982019  0.7690849  0.3065824  7.2044442  7.048402 12.5533132
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+#> 7   7.1774636  6.4140106 15.4786701 15.0499610  8.1239447  8.275751  6.8522809
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+#> 23  0.4117529  0.9735764 12.4022581 11.6134124  6.6430539  6.146377  0.6352526
+#> 24  7.3200967  7.2446345  8.9408582  8.6448837  1.8618772  2.421976  7.3396367
+#> 26 14.1902813 14.6162630  2.1714875  3.1475690  8.0550068  8.161104 14.4420664
+#> 27 15.4731320 16.1409945  4.4702486  4.4833348 11.3719983 11.125992 15.8240349
+#> 29  3.5128522  3.6169771 15.7624708 14.8874798 10.5524557 10.026748  3.4679526
+#> 30 13.7466371 14.2470410  1.0293418  1.9970330  8.1560280  8.129876 14.0297916
+#> 31 14.3047315 14.7027135  2.6362800  3.5828216  8.0021918  8.155363 14.5445259
+#> 33 13.0864122 13.6001825  0.3401205  1.2965528  7.6573751  7.588142 13.3749368
+#> 35  6.4871019  6.3506815  9.6491402  9.2775164  2.3263660  2.663061  6.4762760
+#> 36 12.5969278 12.9612584  2.5980607  3.1757857  6.1812239  6.350732 12.8214457
+#> 37 14.4785497 15.0364506  1.9636603  2.5452941  9.3163986  9.218546 14.7856956
+#> 38  6.3669712  6.4384778  8.2676077  7.8329277  0.9416665  1.126977  6.4530201
+#> 39  2.8274648  2.5706015 11.6236255 10.9765045  4.8983268  4.601098  2.7408526
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+#> 41  1.4024796  0.6021222 13.2986976 12.5630720  6.9950501  6.611292  1.0424705
+#> 43 13.8698358 14.3620266  1.1915451  2.1754080  8.2070347  8.197794 14.1495871
+#> 44  7.6334018  7.0836007 13.2583384 12.9453429  6.0220304  6.356825  7.4228912
+#> 45 13.7763107 14.1994540  1.9525515  2.8873841  7.6428421  7.743861 14.0267357
+#> 46  0.0000000  0.8681827 12.7463099 11.9456474  7.0535285  6.553029  0.4085893
+#> 47  0.8681827  0.0000000 13.2607473 12.4941961  7.2014549  6.768356  0.4701178
+#> 48 12.7463099 13.2607473  0.0000000  1.0034010  7.3547834  7.272071 13.0349961
+#> 49 11.9456474 12.4941961  1.0034010  0.0000000  6.9544696  6.781925 12.2481934
+#> 50  7.0535285  7.2014549  7.3547834  6.9544696  0.0000000  0.719671  7.1760869
+#> 51  6.5530289  6.7683561  7.2720714  6.7819253  0.7196710  0.000000  6.7053339
+#> 52  0.4085893  0.4701178 13.0349961 12.2481934  7.1760869  6.705334  0.0000000
+#> 53 11.6161106 12.1763021  1.3869487  0.3859969  6.7856734  6.578489 11.9233241
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+#> 56 14.2023303 14.6075989  2.4677657  3.4163422  7.9443758  8.083897 14.4452283
+#> 57 14.0549788 14.5244867  1.5455108  2.5486308  8.2137135  8.246297 14.3252357
+#>            53         54         55         56         57
+#> 3   0.6743504 11.9577584  3.9842618  3.2286348  2.2978079
+#> 4  13.7016843  7.7413732 14.3738782 14.4306359 14.9207937
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+#> 11 13.2761692  5.6864160 14.6421149 14.5793786 14.8938063
+#> 12 13.4031439  7.9281017 13.9571616 14.0313218 14.5480972
+#> 14 12.0053568  1.5845003 14.5946810 14.3118579 14.2752829
+#> 18  8.1492723  6.8626245  9.0875228  9.0356434  9.4140802
+#> 20 10.9557113  0.3638950 13.9749019 13.6084948 13.4304238
+#> 21  3.1695348 13.9200456  1.7400480  0.9855479  0.2768433
+#> 23 11.2882094  0.4552630 14.1671548 13.8281547 13.6973548
+#> 24  8.5103522  7.2771183  9.1845057  9.1807226  9.6269808
+#> 26  3.5153974 13.9371404  1.1576856  0.3913964  0.8471860
+#> 27  4.5969426 15.1407769  6.7611112  6.0417265  4.8294497
+#> 29 14.5319853  3.6344487 17.8286012 17.4238240 17.1577071
+#> 30  2.3824941 13.4677830  2.6517570  1.8699919  0.6737893
+#> 31  3.9383013 14.0615544  0.6220397  0.1687610  1.3861601
+#> 33  1.6824974 12.8034047  3.0832014  2.3034980  1.2751459
+#> 35  9.1119312  6.4737130 10.0841571 10.0433981 10.4258187
+#> 36  3.4136798 12.3674321  1.9553372  1.7762271  2.4023729
+#> 37  2.8625581 14.1801201  3.8409099  3.1081406  1.8944131
+#> 38  7.6472156  6.2674672  9.0126567  8.8849309  9.1513335
+#> 39 10.7032376  2.9087521 12.8862148 12.6650655 12.7425970
+#> 40 14.0429119  7.5794275 14.8343750 14.8736246 15.3366129
+#> 41 12.2561204  1.7256446 14.8342197 14.5548406 14.5227027
+#> 43  2.5613772 13.5937224  2.4709765  1.6934175  0.4783430
+#> 44 12.7952271  7.7964032 13.3145928 13.3895816 13.9110553
+#> 45  3.2415055 13.5244679  1.2793841  0.5335230  0.9306502
+#> 46 11.6161106  0.3650836 14.5494294 14.2023303 14.0549788
+#> 47 12.1763021  1.2225547 14.9165833 14.6075989 14.5244867
+#> 48  1.3869487 12.4632943  3.2319269  2.4677657  1.5455108
+#> 49  0.3859969 11.6516761  4.1556545  3.4163422  2.5486308
+#> 50  6.7856734  6.9195508  8.0802194  7.9443758  8.2137135
+#> 51  6.5784892  6.3939664  8.2859533  8.0838967  8.2462966
+#> 52 11.9233241  0.7722191 14.7759663 14.4452283 14.3252357
+#> 53  0.0000000 11.3184975  4.5009575  3.7730800  2.9324444
+#> 54 11.3184975  0.0000000 14.3172818 13.9565980 13.7865952
+#> 55  4.5009575 14.3172818  0.0000000  0.7858942  2.0030226
+#> 56  3.7730800 13.9565980  0.7858942  0.0000000  1.2345829
+#> 57  2.9324444 13.7865952  2.0030226  1.2345829  0.0000000
+# Compare sample to dataframe
+dist_btw_receivers(dat)[1:5, ]
+#>   r1 r2       dist
+#> 1  3  3  0.0000000
+#> 2  4  3 14.1131960
+#> 3  7  3 15.3099894
+#> 4  9  3  0.5428911
+#> 5 11  3 13.7672055
+dist_btw_receivers(dat, return = "matrix")[1:5, 1:5]
+#>             3         4         7          9        11
+#> 3   0.0000000 14.113196 15.309989  0.5428911 13.767205
+#> 4  14.1131960  0.000000  1.717948 13.9034731  2.215489
+#> 7  15.3099894  1.717948  0.000000 15.0580751  1.873918
+#> 9   0.5428911 13.903473 15.058075  0.0000000 13.481255
+#> 11 13.7672055  2.215489  1.873918 13.4812546  0.000000
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/dist_over_surface-1.png b/docs/reference/dist_over_surface-1.png index e92315a..fbabea9 100644 Binary files a/docs/reference/dist_over_surface-1.png and b/docs/reference/dist_over_surface-1.png differ diff --git a/docs/reference/dist_over_surface.html b/docs/reference/dist_over_surface.html index df93c7c..e138749 100644 --- a/docs/reference/dist_over_surface.html +++ b/docs/reference/dist_over_surface.html @@ -1,67 +1,12 @@ - - - - - - - -Calculate the total distance of a path over a three-dimensional surface — dist_over_surface • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate the total distance of a path over a three-dimensional surface — dist_over_surface • flapper - - + + - - -
    -
    - -
    - -
    +

    Calculate the total distance of a path over a three-dimensional surface

    - Source: R/dists.R + Source: R/dists.R
    -

    This function calculates the total distance of a path, whose horizontal coordinates are known, over a three-dimensional surface. To implement the function, the path should be supplied as a matrix or dataframe of coordinates or a SpatialLines object and the surface should be supplied as a raster. The function takes the horizontal coordinates of the path and extracts the values of the surface at these points, and then calculates the total distance of the path as the sum of the paired distances between each pair of points.

    +

    This function calculates the total distance of a path, whose horizontal coordinates are known, over a three-dimensional surface. To implement the function, the path should be supplied as a matrix or dataframe of coordinates or a SpatialLines object and the surface should be supplied as a raster. The function takes the horizontal coordinates of the path and extracts the values of the surface at these points, and then calculates the total distance of the path as the sum of the paired distances between each pair of points.

    - 
    dist_over_surface(path, surface)
    - -

    Arguments

    - - - - - - - - - - -
    path

    A matrix or dataframe of horizontal coordinates (x, y) or a SpatialLines object which defines the path over a surface. The coordinate reference system (projection) of path should be the same as that for the surface.

    surface

    A raster over which the movement that generated the path occurred. The coordinate reference system (projection) of path should be the same as that for the surface and the values of the surface should also be expressed in the same units (e.g., metres).

    +
    + 
    dist_over_surface(path, surface)
    +
    -

    Value

    +
    +

    Arguments

    +
    path
    +

    A matrix or dataframe of horizontal coordinates (x, y) or a SpatialLines object which defines the path over a surface. The coordinate reference system (projection) of path should be the same as that for the surface.

    -

    The function returns a number equal to the total distance along the path.

    -

    Details

    -

    The total distance of a path over a three-dimensional surface is equal to the sum of the pairwise distances between each point (\(i\)) and its successor (\(i + 1\)) according to the equation: $$\Sigma_{i = 1}^n \sqrt{(x_{i+1} - x_i)^2 + (y_{i + 1} - y_i)^2 + (z_{i + 1} - z_i)^2)}$$ where \(x\), \(y\) and \(z\) are the x, y and z coordinates of each point in three-dimensional space and \(n\) is the total number of points minus 1. Pairwise distances are calculated via dist_btw_points_3d. Note that for realistic distances, some interpolation (e.g., via least-cost paths) between points may be required to generate localisations at sufficiently high resolution to effectively capture the shape of the landscape.

    -

    See also

    +
    surface
    +

    A raster over which the movement that generated the path occurred. The coordinate reference system (projection) of path should be the same as that for the surface and the values of the surface should also be expressed in the same units (e.g., metres).

    -

    If the coordinates of the points are known in three dimensions already, dist_btw_points_3d can be used directly.

    -

    Author

    +
    +
    +

    Value

    + +

    The function returns a number equal to the total distance along the path.

    +
    +
    +

    Details

    +

    The total distance of a path over a three-dimensional surface is equal to the sum of the pairwise distances between each point (\(i\)) and its successor (\(i + 1\)) according to the equation: $$\Sigma_{i = 1}^n \sqrt{(x_{i+1} - x_i)^2 + (y_{i + 1} - y_i)^2 + (z_{i + 1} - z_i)^2)}$$ where \(x\), \(y\) and \(z\) are the x, y and z coordinates of each point in three-dimensional space and \(n\) is the total number of points minus 1. Pairwise distances are calculated via dist_btw_points_3d. Note that for realistic distances, some interpolation (e.g., via least-cost paths) between points may be required to generate localisations at sufficiently high resolution to effectively capture the shape of the landscape.

    +

    This function does not currently support non-planar coordinates (path or surface).

    +
    +
    +

    See also

    +

    If the coordinates of the points are known in three dimensions already, dist_btw_points_3d can be used directly.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Simulate a hypothetical landscape
-# Define a miniature, blank landscape with known dimensions
-proj_utm <- sp::CRS(SRS_string = "EPSG:32629")
-r <- raster::raster(nrows = 3, ncols = 3,
-                    crs = proj_utm,
-                    resolution = c(5, 5),
-                    ext = raster::extent(0, 15, 0, 15))
-# Define a matrix of hypothetical values for the landscape
-mat <- matrix(c(5, 10, 3,
-                2, 1, 4,
-                5, 6, 6), ncol = 3, nrow = 3, byrow = TRUE)
-r[] <- mat
-# Visualise simulated landscape
-raster::plot(r)
-
    raster::text(r)
-
    
-#### Example (1): Total distance between two example adjacent points
-path_cells <- c(1, 2)
-path_matrix <- sp::coordinates(r)[path_cells, ]
-dist_over_surface(path_matrix, r)
-
    #> [1] 7.071068
    sqrt(5^2 + (10-5)^2)
-
    #> [1] 7.071068
    
-#### Example (2): Total distance between two example diagonal points
-path_cells <- c(1, 5)
-path_matrix <- sp::coordinates(r)[path_cells, ]
-dist_over_surface(path_matrix, r)
-
    #> [1] 8.124038
    sqrt(sqrt(5^2 + 5^2)^2 + (5 - 1)^2)
-
    #> [1] 8.124038
    
-#### Example (3): Total distance along a longer path
-path_cells <- c(1, 2, 3)
-path_matrix <- sp::coordinates(r)[path_cells, ]
-dist_over_surface(path_matrix, r)
-
    #> [1] 15.67339
    sqrt(5^2 + (10-5)^2) + sqrt(5^2 + (10-3)^2)
-
    #> [1] 15.67339
    
-#### Example (4): Total distance along an even longer path
-path_cells <- c(1, 2, 3, 6, 8)
-path_matrix <- sp::coordinates(r)[path_cells, ]
-dist_over_surface(path_matrix, r)
-
    #> [1] 28.12088
    
-#### Example (5): A SpatialLines object can be used for the path
-path_line <- Orcs::coords2Lines(path_matrix, ID = 1, proj4string = proj_utm)
-raster::lines(path_line)
-
    dist_over_surface(path_line, r)
-
    #> [1] 28.12088
    
-
    +
    +

    Examples

    + 
    #### Simulate a hypothetical landscape
+# Define a miniature, blank landscape with known dimensions
+proj_utm <- sp::CRS(SRS_string = "EPSG:32629")
+r <- raster::raster(nrows = 3, ncols = 3,
+                    crs = proj_utm,
+                    resolution = c(5, 5),
+                    ext = raster::extent(0, 15, 0, 15))
+# Define a matrix of hypothetical values for the landscape
+mat <- matrix(c(5, 10, 3,
+                2, 1, 4,
+                5, 6, 6), ncol = 3, nrow = 3, byrow = TRUE)
+r[] <- mat
+# Visualise simulated landscape
+raster::plot(r)
+raster::text(r)
+
+#### Example (1): Total distance between two example adjacent points
+path_cells <- c(1, 2)
+path_matrix <- sp::coordinates(r)[path_cells, ]
+dist_over_surface(path_matrix, r)
+#> The CRS of 'surface' is not NA. Note that this function only supports planar surfaces.
+#> [1] 7.071068
+sqrt(5^2 + (10-5)^2)
+#> [1] 7.071068
+
+#### Example (2): Total distance between two example diagonal points
+path_cells <- c(1, 5)
+path_matrix <- sp::coordinates(r)[path_cells, ]
+dist_over_surface(path_matrix, r)
+#> The CRS of 'surface' is not NA. Note that this function only supports planar surfaces.
+#> [1] 8.124038
+sqrt(sqrt(5^2 + 5^2)^2 + (5 - 1)^2)
+#> [1] 8.124038
+
+#### Example (3): Total distance along a longer path
+path_cells <- c(1, 2, 3)
+path_matrix <- sp::coordinates(r)[path_cells, ]
+dist_over_surface(path_matrix, r)
+#> The CRS of 'surface' is not NA. Note that this function only supports planar surfaces.
+#> [1] 15.67339
+sqrt(5^2 + (10-5)^2) + sqrt(5^2 + (10-3)^2)
+#> [1] 15.67339
+
+#### Example (4): Total distance along an even longer path
+path_cells <- c(1, 2, 3, 6, 8)
+path_matrix <- sp::coordinates(r)[path_cells, ]
+dist_over_surface(path_matrix, r)
+#> The CRS of 'surface' is not NA. Note that this function only supports planar surfaces.
+#> [1] 28.12088
+
+#### Example (5): A SpatialLines object can be used for the path
+path_line <- Orcs::coords2Lines(path_matrix, ID = 1, proj4string = proj_utm)
+raster::lines(path_line)
+
+dist_over_surface(path_line, r)
+#> The CRS of 'surface' is not NA. Note that this function only supports planar surfaces.
+#> [1] 28.12088
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/dot-acs-1.png b/docs/reference/dot-acs-1.png index ecfd9ed..69deb31 100644 Binary files a/docs/reference/dot-acs-1.png and b/docs/reference/dot-acs-1.png differ diff --git a/docs/reference/dot-acs-2.png b/docs/reference/dot-acs-2.png index c37ed8d..8edad38 100644 Binary files a/docs/reference/dot-acs-2.png and b/docs/reference/dot-acs-2.png differ diff --git a/docs/reference/dot-acs-3.png b/docs/reference/dot-acs-3.png index 9d3fe36..b6df82b 100644 Binary files a/docs/reference/dot-acs-3.png and b/docs/reference/dot-acs-3.png differ diff --git a/docs/reference/dot-acs-4.png b/docs/reference/dot-acs-4.png index c37ed8d..8edad38 100644 Binary files a/docs/reference/dot-acs-4.png and b/docs/reference/dot-acs-4.png differ diff --git a/docs/reference/dot-acs-5.png b/docs/reference/dot-acs-5.png index dd6369d..e6bc992 100644 Binary files a/docs/reference/dot-acs-5.png and b/docs/reference/dot-acs-5.png differ diff --git a/docs/reference/dot-acs-6.png b/docs/reference/dot-acs-6.png index 47a5af1..ab9bd1d 100644 Binary files a/docs/reference/dot-acs-6.png and b/docs/reference/dot-acs-6.png differ diff --git a/docs/reference/dot-acs.html b/docs/reference/dot-acs.html index 516c624..1bcc9a8 100644 --- a/docs/reference/dot-acs.html +++ b/docs/reference/dot-acs.html @@ -1,67 +1,12 @@ - - - - - - - -Back-end implementation of the AC and ACDC algorithms — .acs • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Back-end implementation of the AC and ACDC algorithms — .acs • flapper + + - - - - -
    -
    - -
    - -
    +

    Back-end implementation of the AC and ACDC algorithms

    - Source: R/acs_backend.R + Source: R/acs_backend.R
    @@ -123,3725 +65,6067 @@

    Back-end implementation of the AC and ACDC algorithms

    This function is the back-end of the acoustic-container (AC) and acoustic-container depth-contour (ACDC) algorithms.

    - 
    .acs(
-  acoustics,
-  archival = NULL,
-  step = 120,
-  round_ts = TRUE,
-  plot_ts = TRUE,
-  bathy,
-  map = NULL,
-  detection_containers,
-  detection_kernels = NULL,
-  detection_kernels_overlap = NULL,
-  detection_time_window = 5,
-  mobility,
-  calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
-  normalise = TRUE,
-  chunk = 1L,
-  save_record_spatial = 1L,
-  write_record_spatial_for_pf = NULL,
-  save_args = TRUE,
-  verbose = TRUE,
-  con = "",
-  progress = 1L,
-  check = TRUE
-)
    +
    + 
    .acs(
+  acoustics,
+  archival = NULL,
+  step = 120,
+  round_ts = TRUE,
+  plot_ts = TRUE,
+  bathy,
+  map = NULL,
+  detection_containers,
+  detection_kernels = NULL,
+  detection_kernels_overlap = NULL,
+  detection_time_window = 5,
+  mobility,
+  calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
+  normalise = TRUE,
+  chunk = 1L,
+  save_record_spatial = 1L,
+  write_record_spatial_for_pf = NULL,
+  save_args = TRUE,
+  verbose = TRUE,
+  con = "",
+  progress = 1L,
+  check = TRUE
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    acoustics

    A dataframe that contains passive acoustic telemetry detection time series for a specific individual (see dat_acoustics for an example). This should contain the following columns: an integer vector of receiver IDs, named `receiver_id' (that must match that inputted to acs_setup_containers); an integer vector of detection indices, named `index'; a POSIXct vector of time stamps when detections were made, named `timestamp'; and a numeric vector of those time stamps, named `timestamp_num'.

    archival

    For the ACDC algorithm, archival is a dataframe that contains depth time series for the same individual (see dat_archival for an example). This should contain the following columns: a numeric vector of observed depths, named `depth'; a POSIXct vector of time stamps when observations were made, named `timestamp'; and a numeric vector of those time stamps, named `timestamp_num'. Depths should be recorded in the same units and with the same sign as the bathymetry data (see bathy). Absolute depths (m) are suggested. Unlike the detection time series, archival time stamps are assumed to have occurred at regular intervals.

    step

    A number that defines the time step length (s) between consecutive detections. If archival is supplied, this is the resolution of the archival data (e.g., 120 s).

    round_ts

    A logical input that defines whether or not to round the acoustics and/or archival time series to the nearest step/60 minutes. This step is necessary to ensure appropriate alignment between the two time series given the assumption of a constant mobility parameter (see below). For implementations via .acs_pl, this step is implemented in .acs_pl.

    plot_ts

    A logical input that defines whether or not to the plot movement series before the algorithm is initiated.

    bathy

    A raster that defines the area (for the AC algorithm) or bathymetry (for the ACDC* algorithm) across the area within which the individual could have moved. For the ACDC algorithm, this must be recorded in the same units and with the same sign as the depth observations (see archival). The coordinate reference system should be the Universal Transverse Mercator system, with distances in metres (see also acs_setup_containers).

    map

    (optional) A blank raster, with the same properties (i.e., dimensions, resolution, extent and coordinate reference system) as the area/bathymetry raster (see bathy), but in which all values are 0. If NULL, this is computed internally, but supplying a pre-defined raster can be more computationally efficient if the function is applied iteratively (e.g., over different time windows).

    detection_containers

    A list of detection containers, with one element for each number from 1:max(acoustics$receiver_id), from acs_setup_containers.

    detection_kernels

    A named list of detection probability kernels, from acs_setup_detection_kernels and created using consistent parameters as specified for other acs_setup_* functions and here (i.e., see the overlaps, calc_detection_pr and map arguments in acs_setup_detection_kernels).

    detection_kernels_overlap

    (optional) A named list (the `list_by_receiver' element from get_detection_containers_overlap), that defines, for each receiver, for each day over its deployment period, whether or not its detection container overlapped with those of other receivers. If detection_kernels_overlap and detection_time_window (below) are supplied, the implementation of detection probability kernels when a detection is made accounts for overlaps in receivers' detection containers; if unsupplied, receiver detection probability kernels are assumed not to overlap.

    detection_time_window

    (optional) A number that defines the maximum duration (s) between consecutive detections at different receivers such that they can be said to have occurred at `effectively the same time'. This indicates that the same transmission was detected by multiple receivers. If detection_kernels_overlap (above) and detection_time_window are supplied, the implementation of detection probability kernels when a detection is made accounts for overlaps in receivers' detection containers, by up-weighting overlapping areas between receivers that detected the transmission and down-weighting overlapping areas between receivers that did not detect the transmission (see Details in acs_setup_detection_kernels). Note that the timing of detections is affected by step (see Details).

    mobility

    A number that defines the distance (m) that an individual could move in the time steps between acoustic detections (see also acs_setup_containers).

    calc_depth_error

    In the ACDC algorithm, calc_depth_error is function that returns the depth errors around a vector of depths. The function should accept vector of depths (from archival$depth) and return a matrix, with one row for each (lower and upper) error and one one column for each depth (if the error varies with depth). For each depth, the two numbers are added to the observed depth to define the range of depths on the bathymetry raster (bathy) that the individual could plausibly have occupied at any time. Since the depth errors are added to the individual's depth, the first number should be negative (i.e., the individual could have been shallower that observed) and the second positive (i.e., the individual could have been deeper than observed). The appropriate form for calc_depth_error depends on the species (pelagic versus demersal/benthic species), the measurement error for the depth observations in archival and bathymetry (bathy) data, as well as the tidal range (m) across the area (over the duration of observations). For example, for a pelagic species, the constant function calc_depth_error = function(...) matrix(c(-2.5, Inf) implies that the individual could have occupied bathymetric cells that are deeper than the observed depth + (-2.5) m and shallower than Inf m (i.e. the individual could have been in any location in which the depth was deeper than the shallow depth limit for the individual). In contrast, for a benthic species, the constant function calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2) implies that the individual could have occupied bathymetric cells whose depth lies within the interval defined by the observed depth + (-2.5) and + (+2.5) m.

    normalise

    A logical variable that defines whether or not to normalise the map of possible locations at each time step so that they sum to one.

    chunk

    An integer that defines the chunk ID (from .acs_pl).

    save_record_spatial

    An integer vector that defines the time steps for which to save a record of the spatial information from each time step. save_record_spatial = 0 suppresses the return of this information and save_record_spatial = NULL returns this information for all time steps.

    write_record_spatial_for_pf

    (optional) A named list, passed to writeRaster, to save a subset of the spatial record (specifically the raster of the individual's possible positions at each time step) to file. This forms the basis for extending maps of space use via particle filtering (see pf.) The `filename' argument should be the directory in which to save files. Files are named by chunk ID, acoustic and internal (archival) time steps. For example, the file for the first chunk, the first acoustic time step and the first archival time step is named `chu_1_acc_1_arc_1'.

    save_args

    A logical input that defines whether or not to include a list of function arguments in the outputs. This can be switched off if the function is applied iteratively.

    verbose

    A logical variable that defines whether or not to print messages to the console or to file to relay function progress. If con = "", messages are printed to the console; otherwise, they are written to file (see below).

    con

    If verbose = TRUE, con is character string that defines the full pathway to a .txt file (which can be created on-the-fly) into which messages are written to relay function progress. This approach, rather than printing to the console, is recommended for clarity, speed and debugging.

    progress

    (optional) If the algorithm is implemented step-wise, progress is an integer (1, 2 or 3) that defines whether or not to display a progress bar in the console as the algorithm moves over acoustic time steps (1), the `archival' time steps between each pair of acoustic detections (2) or both acoustic and archival time steps (3), in which case the overall acoustic progress bar is punctuated by an archival progress bar for each pair of acoustic detections. This option is useful if there is a large number of archival observations between acoustic detections. Any other input will suppress the progress bar. If the algorithm is implemented for chunks, inputs to progress are ignored and a single progress bar is shown of the progress across acoustic chunks.

    check

    A logical input that defines whether or not to check function inputs. This can be switched off to improve computation time when the function is applied iteratively or via a front-end function (e.g., ac or acdc).

    +
    +

    Arguments

    +
    acoustics
    +

    A dataframe that contains passive acoustic telemetry detection time series for a specific individual (see dat_acoustics for an example). This should contain the following columns: an integer vector of receiver IDs, named `receiver_id' (that must match that inputted to acs_setup_containers); an integer vector of detection indices, named `index'; a POSIXct vector of time stamps when detections were made, named `timestamp'; and a numeric vector of those time stamps, named `timestamp_num'.

    -

    Value

    -

    The function returns an acdc_record-class object with the following elements: `map', `record', `time', `args', `chunks' and `simplify'. The main output element is the `map' RasterLayer that shows where the individual could have spent more or less time over the duration of the movement time series. The `record' element records time-specific information on the possible locations of the individual, and can be used to plot maps of specific time points or to produce animations (for the time steps specified by save_record_spatial). The `time' element is a dataframe that defines the times of sequential stages in the algorithm's progression, providing a record of computation time. The `args' element is a named list of user inputs that record the parameters used to generate the outputs (if save_args = TRUE, otherwise the `args' element is NULL).

    -

    See also

    +
    archival
    +

    For the ACDC algorithm, archival is a dataframe that contains depth time series for the same individual (see dat_archival for an example). This should contain the following columns: a numeric vector of observed depths, named `depth'; a POSIXct vector of time stamps when observations were made, named `timestamp'; and a numeric vector of those time stamps, named `timestamp_num'. Depths should be recorded in the same units and with the same sign as the bathymetry data (see bathy). Absolute depths (m) are suggested. Unlike the detection time series, archival time stamps are assumed to have occurred at regular intervals.

    -

    The front-end functions ac and acdc call .acs_pl which in turn calls this function. acs_setup_containers defines the detection containers required by this function. acs_setup_mobility is used to examine the assumption of the constant `mobility' parameter. acs_setup_detection_kernels produces detection probability kernels for incorporation into the function. For calls via ac and acdc, acdc_simplify simplifies the outputs and acdc_plot_trace, acdc_plot_record and acdc_animate_record visualise the results.

    -

    Author

    -

    Edward Lavender

    +
    step
    +

    A number that defines the time step length (s) between consecutive detections. If archival is supplied, this is the resolution of the archival data (e.g., 120 s).

    + + +
    round_ts
    +

    A logical input that defines whether or not to round the acoustics and/or archival time series to the nearest step/60 minutes. This step is necessary to ensure appropriate alignment between the two time series given the assumption of a constant mobility parameter (see below). For implementations via .acs_pl, this step is implemented in .acs_pl.

    + -

    Examples

    - 
    #### Step (1) Prepare study site grid
-# Grid resolution needs to be sufficiently high to capture detection probability/movement
-# And sufficiently low to minimise computational costs
-blank <- raster::raster(raster::extent(dat_gebco), res = c(75, 75))
-gebco <- raster::resample(dat_gebco, blank)
+
    plot_ts
    
+
    A logical input that defines whether or not to the plot movement series before the algorithm is initiated.
    
 
-#### Step (2) Implement setup_acdc_*() steps
-# ... Define detection containers required for algorithm(s) (see acs_setup_containers())
 
-#### Step (3) Prepare movement time series for algorithm(s)
-# Add required columns to dataframes:
-dat_acoustics$timestamp_num <- as.numeric(dat_acoustics$timestamp)
-dat_archival$timestamp_num  <- as.numeric(dat_archival$timestamp)
-# Focus on an example individual
-id <- 25
-acc <- dat_acoustics[dat_acoustics$individual_id == id, ]
-arc <- dat_archival[dat_archival$individual_id == id, ]
-# Focus on the subset of data for which we have both acoustic and archival detections
-acc <- acc[acc$timestamp >= min(arc$timestamp) - 2*60 &
-             acc$timestamp <= max(arc$timestamp) + 2*60, ]
-arc <- arc[arc$timestamp >= min(acc$timestamp) - 2*60 &
-             arc$timestamp <= max(acc$timestamp) + 2*60, ]
-# We'll focus on a one day period with overlapping detection/depth time series for speed
-end <- as.POSIXct("2016-03-18")
-acc <- acc[acc$timestamp <= end, ]
-arc <- arc[arc$timestamp <= end, ]
-arc <- arc[arc$timestamp >= min(acc$timestamp) - 2*60 &
-             arc$timestamp <= max(acc$timestamp) + 2*60, ]
-# Process time series
-# ... Detections should be rounded to the nearest step
-# ... Duplicate detections
-# ... ... (of the same individual at the same receiver in the same step)
-# ... ... should be dropped
-# ... This step has already been implemented for dat_acoustics.
+
    bathy
    
+
    A raster that defines the area (for the AC algorithm) or bathymetry (for the ACDC* algorithm) across the area within which the individual could have moved. For the ACDC algorithm, this must be recorded in the same units and with the same sign as the depth observations (see archival). The coordinate reference system should be the Universal Transverse Mercator system, with distances in metres (see also acs_setup_containers).
    
 
-#### Example (1) Implement AC algorithm with default arguments
-out_acdc_1 <- flapper:::.acs(acoustics = acc,
-                             bathy = gebco,
-                             detection_containers = dat_containers,
-                             mobility = 200
-                             )
-
    #> flapper::.acs() called (@ 2022-06-17 10:00:24)... 
-#> ... Checking user inputs... 
    #> 
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-#> ... ... On internal time step ('timestep_archival') 38. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 39. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 40. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 41. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 42. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 43. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 44. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 45. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 46. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 47. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 48. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 49. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 50. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 51. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 52. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 53. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 54. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 55. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 56. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 57. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 58. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 59. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 60. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 61. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 62. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 63. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 64. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 65. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 66. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 67. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 68. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 69. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 70. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 71. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 72. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 73. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 74. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 75. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 76. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 77. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 78. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 79. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 80. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 81. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 82. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 83. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 84. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 85. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 86. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 87. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 88. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |============================================================          |  86%... On acoustic time step ('timestep_detection') 88. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=============================================================         |  87%... On acoustic time step ('timestep_detection') 89. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |==============================================================        |  88%... On acoustic time step ('timestep_detection') 90. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |==============================================================        |  89%... On acoustic time step ('timestep_detection') 91. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |===============================================================       |  90%... On acoustic time step ('timestep_detection') 92. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |================================================================      |  91%... On acoustic time step ('timestep_detection') 93. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |================================================================      |  92%... On acoustic time step ('timestep_detection') 94. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |=================================================================     |  93%... On acoustic time step ('timestep_detection') 95. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |==================================================================    |  94%... On acoustic time step ('timestep_detection') 96. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |===================================================================   |  95%... On acoustic time step ('timestep_detection') 97. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 98. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |====================================================================  |  97%... On acoustic time step ('timestep_detection') 99. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |===================================================================== |  98%... On acoustic time step ('timestep_detection') 100. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |===================================================================== |  99%... On acoustic time step ('timestep_detection') 101. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |======================================================================| 100%
-#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
-#> ... flapper::.acs() call completed (@ 2022-06-17 10:00:31) after ~0.12 minutes. 
    
-#### Example (2) Implement ACDC algorithm with default arguments
-out_acdc_2 <- flapper:::.acs(acoustics = acc,
-                             archival = arc,
-                             bathy = gebco,
-                             detection_containers = dat_containers,
-                             mobility = 200,
-                             calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2)
-                             )
-
    #> flapper::.acs() called (@ 2022-06-17 10:00:31)... 
-#> ... Checking user inputs... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
-#> ... On acoustic time step ('timestep_detection') 1. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |=                                                                     |   1%... On acoustic time step ('timestep_detection') 2. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is constant ... 
-#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 17. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> 
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-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |=====================                                                 |  30%... On acoustic time step ('timestep_detection') 31. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |===========================                                           |  39%... On acoustic time step ('timestep_detection') 40. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |================================                                      |  46%... On acoustic time step ('timestep_detection') 47. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 4. 
-#> ... ... ... Acoustic container is constant ... 
-#> ... ... On internal time step ('timestep_archival') 5. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> 
  |                                                                            
  |=================================                                     |  48%... On acoustic time step ('timestep_detection') 49. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... On acoustic time step ('timestep_detection') 52. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |====================================                                  |  51%... On acoustic time step ('timestep_detection') 53. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 9. 
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-#> 
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  |=====================================                                 |  52%... On acoustic time step ('timestep_detection') 54. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 56. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is constant ... 
-#> 
  |                                                                            
  |=======================================                               |  55%... On acoustic time step ('timestep_detection') 57. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |========================================                              |  56%... On acoustic time step ('timestep_detection') 58. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 60. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> 
  |                                                                            
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-#> 
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  |======================================================================| 100%
-#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
-#> ... flapper::.acs() call completed (@ 2022-06-17 10:00:40) after ~0.15 minutes. 
    
-#### Example (3) Implement AC or ACDC algorithm with detection probability kernels
 
-## (A) Get detection container overlaps
-# Define receiver locations as a SpatialPointsDataFrame object with a UTM CRS
-proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
-proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
-rownames(dat_moorings) <- dat_moorings$receiver_id
-xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
-                        proj_wgs84)
-xy <- sp::spTransform(xy, proj_utm)
-xy <- sp::SpatialPointsDataFrame(xy, dat_moorings[, c("receiver_id",
-                                                      "receiver_start_date",
-                                                      "receiver_end_date")])
-# Get detection overlap(s) as a SpatialPolygonsDataFrame
-containers <- get_detection_containers(xy = sp::SpatialPoints(xy),
-                                     detection_range = 425,
-                                     coastline = dat_coast,
-                                     byid = TRUE)
-
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    containers_df <- dat_moorings[, c("receiver_id",
-                                 "receiver_start_date",
-                                 "receiver_end_date")]
-row.names(containers_df) <- names(containers)
-containers <- sp::SpatialPolygonsDataFrame(containers, containers_df)
-overlaps <- get_detection_containers_overlap(containers =  containers)
+
    map
    
+
    (optional) A blank raster, with the same properties (i.e., dimensions, resolution, extent and coordinate reference system) as the area/bathymetry raster (see bathy), but in which all values are 0. If NULL, this is computed internally, but supplying a pre-defined raster can be more computationally efficient if the function is applied iteratively (e.g., over different time windows).
    
 
-## (B) Define detection probability function based on distance and detection_range
-calc_dpr <-
-  function(x){
-    ifelse(x <= 425, stats::plogis(2.5 + -0.02 * x), 0)
-  }
 
-## (C) Get detection kernels (a slow step)
-kernels <- acs_setup_detection_kernels(xy = xy,
-                                       containers = dat_containers,
-                                       overlaps = overlaps,
-                                       calc_detection_pr = calc_dpr,
-                                       bathy = gebco)
-
    #> flapper::acs_setup_detection_kernels() called (@ 2022-06-17 10:00:42)... 
-#> ... Setting up function... 
-#> ... Getting receiver-specific kernels (for detection)... 
-#> 
-#> ... ... For receiver 3 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 4 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 7 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 9 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 11 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 12 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 14 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 18 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 20 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 21 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 23 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 24 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 26 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 27 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 29 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 30 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 31 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 33 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 35 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 36 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 37 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 38 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 39 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 40 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 41 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 43 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 44 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 45 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 46 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 47 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 48 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 49 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 50 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 51 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 52 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 53 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 54 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 55 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 56 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> 
-#> ... ... For receiver 57 ... 
-#> ... ... ... Isolating detection container ... 
-#> ... ... ... Calculating distances from the receiver ... 
-#> ... ... ... Calculating detection probability ... 
-#> ... ... ... Processing kernel ... 
-#> ... Getting receiver-specific inverse kernels... 
-#> ... Getting area-wide kernels (for non-detection)... 
-#> ... ... Get unique array designs... 
-#> ... ... Get area wide kernels for each array design... 
-#> 
-#> ... ... ... For design 1/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 2/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 3/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 4/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 5/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 6/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 7/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 8/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 9/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 10/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 11/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 12/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 13/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 14/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 15/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 16/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 17/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 18/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> 
-#> ... ... ... For design 19/19... 
-#> ... ... ... ... Extract detection probability kernels for active receivers... 
-#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
-#> ... Process detection probability kernels ... 
-#> ... flapper::acs_setup_detection_kernels() call completed (@ 2022-06-17 10:00:49) after ~0.12 minutes. 
    ## (D) Implement algorithm
-out_acdc_3 <- flapper:::.acs(acoustics = acc,
-                             archival = arc,
-                             bathy = gebco,
-                             detection_containers = dat_containers,
-                             detection_kernels = kernels,
-                             detection_kernels_overlap = overlaps$list_by_receiver,
-                             detection_time_window = 10,
-                             mobility = 200,
-                             calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2)
-                             )
-
    #> flapper::.acs() called (@ 2022-06-17 10:00:49)... 
-#> ... Checking user inputs... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
-#> ... On acoustic time step ('timestep_detection') 1. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |=                                                                     |   1%... On acoustic time step ('timestep_detection') 2. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
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  |==                                                                    |   3%... On acoustic time step ('timestep_detection') 4. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
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  |===                                                                   |   5%... On acoustic time step ('timestep_detection') 6. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |==========                                                            |  14%... On acoustic time step ('timestep_detection') 15. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |==========                                                            |  15%... On acoustic time step ('timestep_detection') 16. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is constant ... 
-#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 17. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 9. 
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-#> 
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  |============                                                          |  18%... On acoustic time step ('timestep_detection') 19. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |=====================                                                 |  30%... On acoustic time step ('timestep_detection') 31. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |===========================                                           |  39%... On acoustic time step ('timestep_detection') 40. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 4. 
-#> ... ... ... Acoustic container is constant ... 
-#> ... ... On internal time step ('timestep_archival') 5. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> 
  |                                                                            
  |=================================                                     |  48%... On acoustic time step ('timestep_detection') 49. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |====================================                                  |  51%... On acoustic time step ('timestep_detection') 53. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> 
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  |=====================================                                 |  52%... On acoustic time step ('timestep_detection') 54. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 56. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is constant ... 
-#> 
  |                                                                            
  |=======================================                               |  55%... On acoustic time step ('timestep_detection') 57. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |========================================                              |  56%... On acoustic time step ('timestep_detection') 58. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 60. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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  |===================================================                   |  72%... On acoustic time step ('timestep_detection') 74. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
-#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> 
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-#> 
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  |======================================================================| 100%
-#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
-#> ... flapper::.acs() call completed (@ 2022-06-17 10:00:59) after ~0.17 minutes. 
    
-#### Example (4): Compare outputs with/without detection probability and normalisation
-## Without detection kernels
-out_acdc_4a <- flapper:::.acs(acoustics = acc,
-                              archival = arc,
-                              bathy = gebco,
-                              detection_containers = dat_containers,
-                              mobility = 200,
-                              calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2)
-                              )
-
    #> flapper::.acs() called (@ 2022-06-17 10:00:59)... 
-#> ... Checking user inputs... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
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-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is constant ... 
-#> 
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  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 17. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> 
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  |===============================                                       |  45%... On acoustic time step ('timestep_detection') 46. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is constant ... 
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-#> 
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-#> 
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  |====================================                                  |  51%... On acoustic time step ('timestep_detection') 53. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> 
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  |======================================                                |  54%... On acoustic time step ('timestep_detection') 56. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> 
  |                                                                            
  |=======================================                               |  55%... On acoustic time step ('timestep_detection') 57. 
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-#> 
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-#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
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-#> ... ... On internal time step ('timestep_archival') 1. 
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  |======================================================================| 100%
-#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
-#> ... flapper::.acs() call completed (@ 2022-06-17 10:01:08) after ~0.15 minutes. 
    out_acdc_4b <- flapper:::.acs(acoustics = acc,
-                              archival = arc,
-                              bathy = gebco,
-                              detection_containers = dat_containers,
-                              normalise = TRUE,
-                              mobility = 200,
-                              calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2)
-                              )
-
    #> flapper::.acs() called (@ 2022-06-17 10:01:08)... 
-#> ... Checking user inputs... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
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  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... ... Acoustic container is shrinking ... 
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-#> ... ... On internal time step ('timestep_archival') 86. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 87. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 88. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |============================================================          |  86%... On acoustic time step ('timestep_detection') 88. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |===============================================================       |  90%... On acoustic time step ('timestep_detection') 92. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |================================================================      |  91%... On acoustic time step ('timestep_detection') 93. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |=================================================================     |  93%... On acoustic time step ('timestep_detection') 95. 
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-#> 
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  |==================================================================    |  94%... On acoustic time step ('timestep_detection') 96. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |===================================================================   |  95%... On acoustic time step ('timestep_detection') 97. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 98. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |===================================================================== |  98%... On acoustic time step ('timestep_detection') 100. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |===================================================================== |  99%... On acoustic time step ('timestep_detection') 101. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |======================================================================| 100%
-#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
-#> ... flapper::.acs() call completed (@ 2022-06-17 10:01:17) after ~0.15 minutes. 
    ## With detection kernels
-out_acdc_4c <- flapper:::.acs(acoustics = acc,
-                              archival = arc,
-                              bathy = gebco,
-                              detection_containers = dat_containers,
-                              detection_kernels = kernels,
-                              mobility = 200,
-                              calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2)
-                              )
-
    #> flapper::.acs() called (@ 2022-06-17 10:01:17)... 
-#> ... Checking user inputs... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> 
  |                                                                            
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is constant ... 
-#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 17. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 4. 
-#> ... ... ... Acoustic container is constant ... 
-#> ... ... On internal time step ('timestep_archival') 5. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> 
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  |=================================                                     |  48%... On acoustic time step ('timestep_detection') 49. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
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  |====================================                                  |  51%... On acoustic time step ('timestep_detection') 53. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 56. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is constant ... 
-#> 
  |                                                                            
  |=======================================                               |  55%... On acoustic time step ('timestep_detection') 57. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
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-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 23. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 24. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 25. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 26. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 27. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 28. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 29. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 30. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 31. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 32. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 33. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 34. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 35. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 36. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 37. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 38. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 39. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 40. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 41. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 42. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 43. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 44. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 45. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 46. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 47. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 48. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 49. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 50. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 51. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 52. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 53. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 54. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 55. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 56. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 57. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 58. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 59. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 60. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 61. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 62. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 63. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 64. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 65. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 66. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 67. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 68. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 69. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 70. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 71. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 72. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 73. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 74. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 75. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 76. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 77. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 78. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 79. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 80. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 81. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 82. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 83. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 84. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 85. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 86. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 87. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> ... ... On internal time step ('timestep_archival') 88. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |============================================================          |  86%... On acoustic time step ('timestep_detection') 88. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |=============================================================         |  87%... On acoustic time step ('timestep_detection') 89. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |==============================================================        |  88%... On acoustic time step ('timestep_detection') 90. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |==============================================================        |  89%... On acoustic time step ('timestep_detection') 91. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |===============================================================       |  90%... On acoustic time step ('timestep_detection') 92. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |================================================================      |  91%... On acoustic time step ('timestep_detection') 93. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |================================================================      |  92%... On acoustic time step ('timestep_detection') 94. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |=================================================================     |  93%... On acoustic time step ('timestep_detection') 95. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |==================================================================    |  94%... On acoustic time step ('timestep_detection') 96. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |===================================================================   |  95%... On acoustic time step ('timestep_detection') 97. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 98. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |====================================================================  |  97%... On acoustic time step ('timestep_detection') 99. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |===================================================================== |  98%... On acoustic time step ('timestep_detection') 100. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |===================================================================== |  99%... On acoustic time step ('timestep_detection') 101. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |======================================================================| 100%
-#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
-#> ... flapper::.acs() call completed (@ 2022-06-17 10:01:26) after ~0.15 minutes. 
    out_acdc_4d <- flapper:::.acs(acoustics = acc,
-                              archival = arc,
-                              bathy = gebco,
-                               detection_containers = dat_containers,
-                              detection_kernels = kernels, normalise = TRUE,
-                              mobility = 200,
-                              calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2)
-                              )
-
    #> flapper::.acs() called (@ 2022-06-17 10:01:26)... 
-#> ... Checking user inputs... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
-#> ... On acoustic time step ('timestep_detection') 1. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> 
  |                                                                            
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> 
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  |===                                                                   |   5%... On acoustic time step ('timestep_detection') 6. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is constant ... 
-#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 17. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> 
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  |============                                                          |  18%... On acoustic time step ('timestep_detection') 19. 
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-#> 
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-#> 
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-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |====================                                                  |  29%... On acoustic time step ('timestep_detection') 30. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |=====================                                                 |  30%... On acoustic time step ('timestep_detection') 31. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |======================                                                |  32%... On acoustic time step ('timestep_detection') 33. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |=======================                                               |  33%... On acoustic time step ('timestep_detection') 34. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |==========================                                            |  38%... On acoustic time step ('timestep_detection') 39. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |===========================                                           |  39%... On acoustic time step ('timestep_detection') 40. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |===============================                                       |  45%... On acoustic time step ('timestep_detection') 46. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |================================                                      |  46%... On acoustic time step ('timestep_detection') 47. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 4. 
-#> ... ... ... Acoustic container is constant ... 
-#> ... ... On internal time step ('timestep_archival') 5. 
-#> ... ... ... Acoustic container is shrinking ... 
-#> 
  |                                                                            
  |=================================                                     |  48%... On acoustic time step ('timestep_detection') 49. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |==================================                                    |  49%... On acoustic time step ('timestep_detection') 50. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |===================================                                   |  50%... On acoustic time step ('timestep_detection') 51. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... On acoustic time step ('timestep_detection') 52. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |====================================                                  |  51%... On acoustic time step ('timestep_detection') 53. 
-#> ... ... On internal time step ('timestep_archival') 1. 
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-#> ... ... On internal time step ('timestep_archival') 4. 
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-#> ... ... On internal time step ('timestep_archival') 8. 
-#> ... ... On internal time step ('timestep_archival') 9. 
-#> ... ... On internal time step ('timestep_archival') 10. 
-#> 
  |                                                                            
  |=====================================                                 |  52%... On acoustic time step ('timestep_detection') 54. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |=====================================                                 |  53%... On acoustic time step ('timestep_detection') 55. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 56. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> ... ... On internal time step ('timestep_archival') 3. 
-#> ... ... ... Acoustic container is constant ... 
-#> 
  |                                                                            
  |=======================================                               |  55%... On acoustic time step ('timestep_detection') 57. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |========================================                              |  56%... On acoustic time step ('timestep_detection') 58. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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  |========================================                              |  57%... On acoustic time step ('timestep_detection') 59. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 60. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |==========================================                            |  59%... On acoustic time step ('timestep_detection') 61. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
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-#> ... ... ... Acoustic container is shrinking ... 
-#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
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-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
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-#> 
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  |======================================================================| 100%
-#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
-#> ... flapper::.acs() call completed (@ 2022-06-17 10:01:35) after ~0.15 minutes. 
    ## Comparison of final maps
-pp <- par(mfrow = c(2, 2))
-raster::plot(out_acdc_4a$map, main = "4a")
-raster::plot(out_acdc_4b$map, main = "4b")
-raster::plot(out_acdc_4c$map, main = "4c")
-raster::plot(out_acdc_4d$map, main = "4d")
-
    par(pp)
+
    detection_containers
    
+
    A list of detection containers, with one element for each number from 1:max(acoustics$receiver_id), from acs_setup_containers.
    
 
-#### Example (5): Implement AC or ACDC algorithm and write messages to file via 'con'
-out_acdc_5 <- flapper:::.acs(acoustics = acc,
-                             archival = arc,
-                             bathy = gebco,
-                             detection_containers = dat_containers,
-                             mobility = 200,
-                             calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
-                             verbose = TRUE,
-                             con = paste0(tempdir(), "/", "acdc_log.txt")
-                             )
-
    #> 'calc_depth_error' function taken to be independent of depth.
    #> 
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    # Check log
-utils::head(readLines(paste0(tempdir(), "/", "acdc_log.txt")))
-
    #> [1] "flapper::.acs_pl() called (@ 2022-06-17 09:53:03)... "
-#> [2] "... Checking user inputs... "                         
-#> [3] "... Splitting 'acoustics' into chunks... "            
-#> [4] "... Processing acoustics chunks... "                  
-#> [5] "... ... Checking for NULL/empty chunks... "           
-#> [6] "... ... Overlapping chunks... "                       
    utils::tail(readLines(paste0(tempdir(), "/", "acdc_log.txt")))
-
    #> [1] "... On acoustic time step ('timestep_detection') 100. "                              
-#> [2] "... ... On internal time step ('timestep_archival') 1. "                             
-#> [3] "... On acoustic time step ('timestep_detection') 101. "                              
-#> [4] "... ... On internal time step ('timestep_archival') 1. "                             
-#> [5] "... Movement over acoustic and internal ('archival') time steps has been completed. "
-#> [6] "... flapper::.acs() call completed (@ 2022-06-17 10:01:45) after ~0.15 minutes. "    
    
-#### Example (6): Implement AC or ACDC algorithm and return spatial information
-# Specify save_record_spatial = NULL to include spatial information for all time steps
-# ... (used for plotting) or a vector to include this information for specific time steps
-out_acdc_6 <- flapper:::.acs(acoustics = acc,
-                             archival = arc,
-                             bathy = gebco,
-                             detection_containers = dat_containers,
-                             mobility = 200,
-                             calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
-                             save_record_spatial = NULL,
-                             verbose = TRUE,
-                             con = paste0(tempdir(), "/", "acdc_log.txt")
-                             )
-
    #> 'calc_depth_error' function taken to be independent of depth.
    #> 
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-
    +
    detection_kernels
    +

    A named list of detection probability kernels, from acs_setup_detection_kernels and created using consistent parameters as specified for other acs_setup_* functions and here (i.e., see the overlaps, calc_detection_pr and map arguments in acs_setup_detection_kernels).

    + + +
    detection_kernels_overlap
    +

    (optional) A named list (the `list_by_receiver' element from get_detection_containers_overlap), that defines, for each receiver, for each day over its deployment period, whether or not its detection container overlapped with those of other receivers. If detection_kernels_overlap and detection_time_window (below) are supplied, the implementation of detection probability kernels when a detection is made accounts for overlaps in receivers' detection containers; if unsupplied, receiver detection probability kernels are assumed not to overlap.

    + + +
    detection_time_window
    +

    (optional) A number that defines the maximum duration (s) between consecutive detections at different receivers such that they can be said to have occurred at `effectively the same time'. This indicates that the same transmission was detected by multiple receivers. If detection_kernels_overlap (above) and detection_time_window are supplied, the implementation of detection probability kernels when a detection is made accounts for overlaps in receivers' detection containers, by up-weighting overlapping areas between receivers that detected the transmission and down-weighting overlapping areas between receivers that did not detect the transmission (see Details in acs_setup_detection_kernels). Note that the timing of detections is affected by step (see Details).

    + + +
    mobility
    +

    A number that defines the distance (m) that an individual could move in the time steps between acoustic detections (see also acs_setup_containers).

    + + +
    calc_depth_error
    +

    In the ACDC algorithm, calc_depth_error is function that returns the depth errors around a vector of depths. The function should accept vector of depths (from archival$depth) and return a matrix, with one row for each (lower and upper) error and one one column for each depth (if the error varies with depth). For each depth, the two numbers are added to the observed depth to define the range of depths on the bathymetry raster (bathy) that the individual could plausibly have occupied at any time. Since the depth errors are added to the individual's depth, the first number should be negative (i.e., the individual could have been shallower that observed) and the second positive (i.e., the individual could have been deeper than observed). The appropriate form for calc_depth_error depends on the species (pelagic versus demersal/benthic species), the measurement error for the depth observations in archival and bathymetry (bathy) data, as well as the tidal range (m) across the area (over the duration of observations). For example, for a pelagic species, the constant function calc_depth_error = function(...) matrix(c(-2.5, Inf) implies that the individual could have occupied bathymetric cells that are deeper than the observed depth + (-2.5) m and shallower than Inf m (i.e. the individual could have been in any location in which the depth was deeper than the shallow depth limit for the individual). In contrast, for a benthic species, the constant function calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2) implies that the individual could have occupied bathymetric cells whose depth lies within the interval defined by the observed depth + (-2.5) and + (+2.5) m.

    + + +
    normalise
    +

    A logical variable that defines whether or not to normalise the map of possible locations at each time step so that they sum to one.

    + + +
    chunk
    +

    An integer that defines the chunk ID (from .acs_pl).

    + + +
    save_record_spatial
    +

    An integer vector that defines the time steps for which to save a record of the spatial information from each time step. save_record_spatial = 0 suppresses the return of this information and save_record_spatial = NULL returns this information for all time steps.

    + + +
    write_record_spatial_for_pf
    +

    (optional) A named list, passed to writeRaster, to save a subset of the spatial record (specifically the raster of the individual's possible positions at each time step) to file. This forms the basis for extending maps of space use via particle filtering (see pf.) The `filename' argument should be the directory in which to save files. Files are named by chunk ID, acoustic and internal (archival) time steps. For example, the file for the first chunk, the first acoustic time step and the first archival time step is named `chu_1_acc_1_arc_1'.

    + + +
    save_args
    +

    A logical input that defines whether or not to include a list of function arguments in the outputs. This can be switched off if the function is applied iteratively.

    + + +
    verbose
    +

    A logical variable that defines whether or not to print messages to the console or to file to relay function progress. If con = "", messages are printed to the console; otherwise, they are written to file (see below).

    + + +
    con
    +

    If verbose = TRUE, con is character string that defines the full pathway to a .txt file (which can be created on-the-fly) into which messages are written to relay function progress. This approach, rather than printing to the console, is recommended for clarity, speed and debugging.

    + + +
    progress
    +

    (optional) If the algorithm is implemented step-wise, progress is an integer (1, 2 or 3) that defines whether or not to display a progress bar in the console as the algorithm moves over acoustic time steps (1), the `archival' time steps between each pair of acoustic detections (2) or both acoustic and archival time steps (3), in which case the overall acoustic progress bar is punctuated by an archival progress bar for each pair of acoustic detections. This option is useful if there is a large number of archival observations between acoustic detections. Any other input will suppress the progress bar. If the algorithm is implemented for chunks, inputs to progress are ignored and a single progress bar is shown of the progress across acoustic chunks.

    + + +
    check
    +

    A logical input that defines whether or not to check function inputs. This can be switched off to improve computation time when the function is applied iteratively or via a front-end function (e.g., ac or acdc).

    + +
    +
    +

    Value

    + + +

    The function returns an acdc_record-class object with the following elements: `map', `record', `time', `args', `chunks' and `simplify'. The main output element is the `map' RasterLayer that shows where the individual could have spent more or less time over the duration of the movement time series. The `record' element records time-specific information on the possible locations of the individual, and can be used to plot maps of specific time points or to produce animations (for the time steps specified by save_record_spatial). The `time' element is a dataframe that defines the times of sequential stages in the algorithm's progression, providing a record of computation time. The `args' element is a named list of user inputs that record the parameters used to generate the outputs (if save_args = TRUE, otherwise the `args' element is NULL).

    +
    +
    +

    See also

    +

    The front-end functions ac and acdc call .acs_pl which in turn calls this function. acs_setup_containers defines the detection containers required by this function. acs_setup_mobility is used to examine the assumption of the constant `mobility' parameter. acs_setup_detection_kernels produces detection probability kernels for incorporation into the function. For calls via ac and acdc, acdc_simplify simplifies the outputs and acdc_plot_trace, acdc_plot_record and acdc_animate_record visualise the results.

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    + +
    +

    Examples

    + 
    #### Step (1) Prepare study site grid
+# Grid resolution needs to be sufficiently high to capture detection probability/movement
+# And sufficiently low to minimise computational costs
+blank <- raster::raster(raster::extent(dat_gebco), res = c(75, 75))
+gebco <- raster::resample(dat_gebco, blank)
+
+#### Step (2) Implement setup_acdc_*() steps
+# ... Define detection containers required for algorithm(s) (see acs_setup_containers())
+
+#### Step (3) Prepare movement time series for algorithm(s)
+# Add required columns to dataframes:
+dat_acoustics$timestamp_num <- as.numeric(dat_acoustics$timestamp)
+dat_archival$timestamp_num  <- as.numeric(dat_archival$timestamp)
+# Focus on an example individual
+id <- 25
+acc <- dat_acoustics[dat_acoustics$individual_id == id, ]
+arc <- dat_archival[dat_archival$individual_id == id, ]
+# Focus on the subset of data for which we have both acoustic and archival detections
+acc <- acc[acc$timestamp >= min(arc$timestamp) - 2*60 &
+             acc$timestamp <= max(arc$timestamp) + 2*60, ]
+arc <- arc[arc$timestamp >= min(acc$timestamp) - 2*60 &
+             arc$timestamp <= max(acc$timestamp) + 2*60, ]
+# We'll focus on a one day period with overlapping detection/depth time series for speed
+end <- as.POSIXct("2016-03-18")
+acc <- acc[acc$timestamp <= end, ]
+arc <- arc[arc$timestamp <= end, ]
+arc <- arc[arc$timestamp >= min(acc$timestamp) - 2*60 &
+             arc$timestamp <= max(acc$timestamp) + 2*60, ]
+# Process time series
+# ... Detections should be rounded to the nearest step
+# ... Duplicate detections
+# ... ... (of the same individual at the same receiver in the same step)
+# ... ... should be dropped
+# ... This step has already been implemented for dat_acoustics.
+
+#### Example (1) Implement AC algorithm with default arguments
+out_acdc_1 <- flapper:::.acs(acoustics = acc,
+                             bathy = gebco,
+                             detection_containers = dat_containers,
+                             mobility = 200
+                             )
+#> flapper::.acs() called (@ 2023-02-19 14:54:38)... 
+#> ... Checking user inputs... 
+#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
+#> ... On acoustic time step ('timestep_detection') 1. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   1%... On acoustic time step ('timestep_detection') 2. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   2%... On acoustic time step ('timestep_detection') 3. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==                                                                    |   3%... On acoustic time step ('timestep_detection') 4. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===                                                                   |   4%... On acoustic time step ('timestep_detection') 5. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===                                                                   |   5%... On acoustic time step ('timestep_detection') 6. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====                                                                  |   6%... On acoustic time step ('timestep_detection') 7. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====                                                                 |   7%... On acoustic time step ('timestep_detection') 8. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   8%... On acoustic time step ('timestep_detection') 9. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   9%... On acoustic time step ('timestep_detection') 10. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======                                                               |  10%... On acoustic time step ('timestep_detection') 11. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  11%... On acoustic time step ('timestep_detection') 12. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  12%... On acoustic time step ('timestep_detection') 13. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========                                                             |  13%... On acoustic time step ('timestep_detection') 14. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  14%... On acoustic time step ('timestep_detection') 15. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  15%... On acoustic time step ('timestep_detection') 16. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 17. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============                                                          |  17%... On acoustic time step ('timestep_detection') 18. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============                                                          |  18%... On acoustic time step ('timestep_detection') 19. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============                                                         |  19%... On acoustic time step ('timestep_detection') 20. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============                                                        |  20%... On acoustic time step ('timestep_detection') 21. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  21%... On acoustic time step ('timestep_detection') 22. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  22%... On acoustic time step ('timestep_detection') 23. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================                                                      |  23%... On acoustic time step ('timestep_detection') 24. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  24%... On acoustic time step ('timestep_detection') 25. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  25%... On acoustic time step ('timestep_detection') 26. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================                                                    |  26%... On acoustic time step ('timestep_detection') 27. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  27%... On acoustic time step ('timestep_detection') 28. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  28%... On acoustic time step ('timestep_detection') 29. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====================                                                  |  29%... On acoustic time step ('timestep_detection') 30. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================                                                 |  30%... On acoustic time step ('timestep_detection') 31. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================                                                 |  31%... On acoustic time step ('timestep_detection') 32. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================                                                |  32%... On acoustic time step ('timestep_detection') 33. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================                                               |  33%... On acoustic time step ('timestep_detection') 34. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  34%... On acoustic time step ('timestep_detection') 35. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  35%... On acoustic time step ('timestep_detection') 36. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================                                             |  36%... On acoustic time step ('timestep_detection') 37. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  37%... On acoustic time step ('timestep_detection') 38. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  38%... On acoustic time step ('timestep_detection') 39. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========================                                           |  39%... On acoustic time step ('timestep_detection') 40. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  40%... On acoustic time step ('timestep_detection') 41. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  41%... On acoustic time step ('timestep_detection') 42. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============================                                         |  42%... On acoustic time step ('timestep_detection') 43. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================                                        |  43%... On acoustic time step ('timestep_detection') 44. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================                                        |  44%... On acoustic time step ('timestep_detection') 45. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===============================                                       |  45%... On acoustic time step ('timestep_detection') 46. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================================                                      |  46%... On acoustic time step ('timestep_detection') 47. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is constant ... 
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  48%... On acoustic time step ('timestep_detection') 49. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================                                    |  49%... On acoustic time step ('timestep_detection') 50. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================                                   |  50%... On acoustic time step ('timestep_detection') 51. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... On acoustic time step ('timestep_detection') 52. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================                                  |  51%... On acoustic time step ('timestep_detection') 53. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  52%... On acoustic time step ('timestep_detection') 54. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  53%... On acoustic time step ('timestep_detection') 55. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 56. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |=======================================                               |  55%... On acoustic time step ('timestep_detection') 57. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |========================================                              |  56%... On acoustic time step ('timestep_detection') 58. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================                              |  57%... On acoustic time step ('timestep_detection') 59. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 60. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  59%... On acoustic time step ('timestep_detection') 61. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  60%... On acoustic time step ('timestep_detection') 62. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================                           |  61%... On acoustic time step ('timestep_detection') 63. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  62%... On acoustic time step ('timestep_detection') 64. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  63%... On acoustic time step ('timestep_detection') 65. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================                         |  64%... On acoustic time step ('timestep_detection') 66. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  65%... On acoustic time step ('timestep_detection') 67. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  66%... On acoustic time step ('timestep_detection') 68. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================                       |  67%... On acoustic time step ('timestep_detection') 69. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================                      |  68%... On acoustic time step ('timestep_detection') 70. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================                     |  69%... On acoustic time step ('timestep_detection') 71. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================================================                     |  70%... On acoustic time step ('timestep_detection') 72. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================================                    |  71%... On acoustic time step ('timestep_detection') 73. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================================                   |  72%... On acoustic time step ('timestep_detection') 74. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================                   |  73%... On acoustic time step ('timestep_detection') 75. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================                  |  74%... On acoustic time step ('timestep_detection') 76. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================================                 |  75%... On acoustic time step ('timestep_detection') 77. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================================================                 |  76%... On acoustic time step ('timestep_detection') 78. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================================================                |  77%... On acoustic time step ('timestep_detection') 79. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  78%... On acoustic time step ('timestep_detection') 80. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  79%... On acoustic time step ('timestep_detection') 81. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================================              |  80%... On acoustic time step ('timestep_detection') 82. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================================================             |  81%... On acoustic time step ('timestep_detection') 83. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  82%... On acoustic time step ('timestep_detection') 84. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  83%... On acoustic time step ('timestep_detection') 85. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================================           |  84%... On acoustic time step ('timestep_detection') 86. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 11. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 12. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 13. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 14. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 15. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 16. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 17. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 18. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 19. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 20. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 21. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 22. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 23. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 24. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 25. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 26. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 27. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 28. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 29. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 30. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 31. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 32. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 33. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 34. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 35. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 36. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 37. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 38. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 39. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 40. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 41. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 42. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 43. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 44. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 45. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 46. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 47. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 48. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 49. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 50. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 51. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 52. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 53. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 54. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 55. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 56. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 57. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 58. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 59. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 60. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 61. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 62. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 63. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 64. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 65. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 66. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 67. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 68. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 69. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 70. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 71. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 72. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 73. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 74. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 75. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 76. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 77. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 78. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 79. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 80. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 81. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 82. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 83. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 84. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 85. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 86. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 87. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 88. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  86%... On acoustic time step ('timestep_detection') 88. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================================         |  87%... On acoustic time step ('timestep_detection') 89. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  88%... On acoustic time step ('timestep_detection') 90. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  89%... On acoustic time step ('timestep_detection') 91. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================================       |  90%... On acoustic time step ('timestep_detection') 92. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  91%... On acoustic time step ('timestep_detection') 93. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  92%... On acoustic time step ('timestep_detection') 94. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================================     |  93%... On acoustic time step ('timestep_detection') 95. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==================================================================    |  94%... On acoustic time step ('timestep_detection') 96. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  95%... On acoustic time step ('timestep_detection') 97. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 98. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================================  |  97%... On acoustic time step ('timestep_detection') 99. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  98%... On acoustic time step ('timestep_detection') 100. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  99%... On acoustic time step ('timestep_detection') 101. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+#> 
  |                                                                            
  |======================================================================| 100%
+#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
+#> ... flapper::.acs() call completed (@ 2023-02-19 14:54:48) after ~0.17 minutes. 
+
+#### Example (2) Implement ACDC algorithm with default arguments
+out_acdc_2 <- flapper:::.acs(acoustics = acc,
+                             archival = arc,
+                             bathy = gebco,
+                             detection_containers = dat_containers,
+                             mobility = 200,
+                             calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2)
+                             )
+#> flapper::.acs() called (@ 2023-02-19 14:54:48)... 
+#> ... Checking user inputs... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
+#> ... On acoustic time step ('timestep_detection') 1. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   1%... On acoustic time step ('timestep_detection') 2. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   2%... On acoustic time step ('timestep_detection') 3. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==                                                                    |   3%... On acoustic time step ('timestep_detection') 4. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===                                                                   |   4%... On acoustic time step ('timestep_detection') 5. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===                                                                   |   5%... On acoustic time step ('timestep_detection') 6. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====                                                                  |   6%... On acoustic time step ('timestep_detection') 7. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====                                                                 |   7%... On acoustic time step ('timestep_detection') 8. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   8%... On acoustic time step ('timestep_detection') 9. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   9%... On acoustic time step ('timestep_detection') 10. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======                                                               |  10%... On acoustic time step ('timestep_detection') 11. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  11%... On acoustic time step ('timestep_detection') 12. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  12%... On acoustic time step ('timestep_detection') 13. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========                                                             |  13%... On acoustic time step ('timestep_detection') 14. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  14%... On acoustic time step ('timestep_detection') 15. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  15%... On acoustic time step ('timestep_detection') 16. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 17. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============                                                          |  17%... On acoustic time step ('timestep_detection') 18. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============                                                          |  18%... On acoustic time step ('timestep_detection') 19. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============                                                         |  19%... On acoustic time step ('timestep_detection') 20. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============                                                        |  20%... On acoustic time step ('timestep_detection') 21. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  21%... On acoustic time step ('timestep_detection') 22. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  22%... On acoustic time step ('timestep_detection') 23. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================                                                      |  23%... On acoustic time step ('timestep_detection') 24. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  24%... On acoustic time step ('timestep_detection') 25. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  25%... On acoustic time step ('timestep_detection') 26. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================                                                    |  26%... On acoustic time step ('timestep_detection') 27. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  27%... On acoustic time step ('timestep_detection') 28. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  28%... On acoustic time step ('timestep_detection') 29. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====================                                                  |  29%... On acoustic time step ('timestep_detection') 30. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================                                                 |  30%... On acoustic time step ('timestep_detection') 31. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================                                                 |  31%... On acoustic time step ('timestep_detection') 32. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================                                                |  32%... On acoustic time step ('timestep_detection') 33. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================                                               |  33%... On acoustic time step ('timestep_detection') 34. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  34%... On acoustic time step ('timestep_detection') 35. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  35%... On acoustic time step ('timestep_detection') 36. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================                                             |  36%... On acoustic time step ('timestep_detection') 37. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  37%... On acoustic time step ('timestep_detection') 38. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  38%... On acoustic time step ('timestep_detection') 39. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========================                                           |  39%... On acoustic time step ('timestep_detection') 40. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  40%... On acoustic time step ('timestep_detection') 41. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  41%... On acoustic time step ('timestep_detection') 42. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============================                                         |  42%... On acoustic time step ('timestep_detection') 43. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================                                        |  43%... On acoustic time step ('timestep_detection') 44. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================                                        |  44%... On acoustic time step ('timestep_detection') 45. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===============================                                       |  45%... On acoustic time step ('timestep_detection') 46. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================================                                      |  46%... On acoustic time step ('timestep_detection') 47. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is constant ... 
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  48%... On acoustic time step ('timestep_detection') 49. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================                                    |  49%... On acoustic time step ('timestep_detection') 50. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================                                   |  50%... On acoustic time step ('timestep_detection') 51. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... On acoustic time step ('timestep_detection') 52. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================                                  |  51%... On acoustic time step ('timestep_detection') 53. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  52%... On acoustic time step ('timestep_detection') 54. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  53%... On acoustic time step ('timestep_detection') 55. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 56. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |=======================================                               |  55%... On acoustic time step ('timestep_detection') 57. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |========================================                              |  56%... On acoustic time step ('timestep_detection') 58. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================                              |  57%... On acoustic time step ('timestep_detection') 59. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 60. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  59%... On acoustic time step ('timestep_detection') 61. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  60%... On acoustic time step ('timestep_detection') 62. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================                           |  61%... On acoustic time step ('timestep_detection') 63. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  62%... On acoustic time step ('timestep_detection') 64. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  63%... On acoustic time step ('timestep_detection') 65. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================                         |  64%... On acoustic time step ('timestep_detection') 66. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  65%... On acoustic time step ('timestep_detection') 67. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  66%... On acoustic time step ('timestep_detection') 68. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================                       |  67%... On acoustic time step ('timestep_detection') 69. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================                      |  68%... On acoustic time step ('timestep_detection') 70. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================                     |  69%... On acoustic time step ('timestep_detection') 71. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================================================                     |  70%... On acoustic time step ('timestep_detection') 72. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================================                    |  71%... On acoustic time step ('timestep_detection') 73. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================================                   |  72%... On acoustic time step ('timestep_detection') 74. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================                   |  73%... On acoustic time step ('timestep_detection') 75. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================                  |  74%... On acoustic time step ('timestep_detection') 76. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================================                 |  75%... On acoustic time step ('timestep_detection') 77. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================================================                 |  76%... On acoustic time step ('timestep_detection') 78. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================================================                |  77%... On acoustic time step ('timestep_detection') 79. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  78%... On acoustic time step ('timestep_detection') 80. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  79%... On acoustic time step ('timestep_detection') 81. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================================              |  80%... On acoustic time step ('timestep_detection') 82. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================================================             |  81%... On acoustic time step ('timestep_detection') 83. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  82%... On acoustic time step ('timestep_detection') 84. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  83%... On acoustic time step ('timestep_detection') 85. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================================           |  84%... On acoustic time step ('timestep_detection') 86. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 11. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 12. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 13. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 14. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 15. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 16. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 17. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 18. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 19. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 20. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 21. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 22. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 23. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 24. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 25. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 26. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 27. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 28. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 29. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 30. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 31. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 32. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 33. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 34. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 35. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 36. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 37. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 38. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 39. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 40. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 41. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 42. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 43. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 44. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 45. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 46. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 47. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 48. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 49. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 50. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 51. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 52. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 53. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 54. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 55. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 56. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 57. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 58. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 59. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 60. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 61. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 62. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 63. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 64. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 65. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 66. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 67. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 68. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 69. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 70. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 71. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 72. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 73. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 74. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 75. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 76. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 77. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 78. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 79. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 80. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 81. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 82. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 83. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 84. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 85. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 86. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 87. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 88. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  86%... On acoustic time step ('timestep_detection') 88. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================================         |  87%... On acoustic time step ('timestep_detection') 89. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  88%... On acoustic time step ('timestep_detection') 90. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  89%... On acoustic time step ('timestep_detection') 91. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================================       |  90%... On acoustic time step ('timestep_detection') 92. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  91%... On acoustic time step ('timestep_detection') 93. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  92%... On acoustic time step ('timestep_detection') 94. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================================     |  93%... On acoustic time step ('timestep_detection') 95. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==================================================================    |  94%... On acoustic time step ('timestep_detection') 96. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  95%... On acoustic time step ('timestep_detection') 97. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 98. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================================  |  97%... On acoustic time step ('timestep_detection') 99. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  98%... On acoustic time step ('timestep_detection') 100. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  99%... On acoustic time step ('timestep_detection') 101. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+#> 
  |                                                                            
  |======================================================================| 100%
+#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
+#> ... flapper::.acs() call completed (@ 2023-02-19 14:55:02) after ~0.23 minutes. 
+
+#### Example (3) Implement AC or ACDC algorithm with detection probability kernels
+
+## (A) Get detection container overlaps
+# Define receiver locations as a SpatialPointsDataFrame object with a UTM CRS
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
+rownames(dat_moorings) <- dat_moorings$receiver_id
+xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
+                        proj_wgs84)
+xy <- sp::spTransform(xy, proj_utm)
+xy <- sp::SpatialPointsDataFrame(xy, dat_moorings[, c("receiver_id",
+                                                      "receiver_start_date",
+                                                      "receiver_end_date")])
+# Get detection overlap(s) as a SpatialPolygonsDataFrame
+containers <- get_detection_containers(xy = sp::SpatialPoints(xy),
+                                     detection_range = 425,
+                                     coastline = dat_coast,
+                                     byid = TRUE)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+
+containers_df <- dat_moorings[, c("receiver_id",
+                                 "receiver_start_date",
+                                 "receiver_end_date")]
+row.names(containers_df) <- names(containers)
+containers <- sp::SpatialPolygonsDataFrame(containers, containers_df)
+overlaps <- get_detection_containers_overlap(containers =  containers)
+
+## (B) Define detection probability function based on distance and detection_range
+calc_dpr <-
+  function(x){
+    ifelse(x <= 425, stats::plogis(2.5 + -0.02 * x), 0)
+  }
+
+## (C) Get detection kernels (a slow step)
+kernels <- acs_setup_detection_kernels(xy = xy,
+                                       containers = dat_containers,
+                                       overlaps = overlaps,
+                                       calc_detection_pr = calc_dpr,
+                                       bathy = gebco)
+#> flapper::acs_setup_detection_kernels() called (@ 2023-02-19 14:55:03)... 
+#> ... Setting up function... 
+#> ... Getting receiver-specific kernels (for detection)... 
+#> 
+#> ... ... For receiver 3 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 4 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 7 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 9 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 11 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 12 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 14 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 18 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 20 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 21 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 23 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 24 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 26 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 27 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 29 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 30 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 31 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 33 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 35 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 36 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 37 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 38 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 39 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 40 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 41 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 43 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 44 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 45 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 46 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 47 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 48 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 49 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 50 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 51 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 52 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 53 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 54 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 55 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 56 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> 
+#> ... ... For receiver 57 ... 
+#> ... ... ... Isolating detection container ... 
+#> ... ... ... Calculating distances from the receiver ... 
+#> ... ... ... Calculating detection probability ... 
+#> ... ... ... Processing kernel ... 
+#> ... Getting receiver-specific inverse kernels... 
+#> ... Getting area-wide kernels (for non-detection)... 
+#> ... ... Get unique array designs... 
+#> ... ... Get area wide kernels for each array design... 
+#> 
+#> ... ... ... For design 1/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 2/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 3/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 4/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 5/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 6/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 7/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 8/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 9/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 10/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 11/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 12/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 13/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 14/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 15/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 16/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 17/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 18/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> 
+#> ... ... ... For design 19/19... 
+#> ... ... ... ... Extract detection probability kernels for active receivers... 
+#> ... ... ... ... Combining detection kernels to calculate the background detection probability surfaces (this is a slow step)... 
+#> ... Process detection probability kernels ... 
+#> ... flapper::acs_setup_detection_kernels() call completed (@ 2023-02-19 14:55:13) after ~0.17 minutes. 
+## (D) Implement algorithm
+out_acdc_3 <- flapper:::.acs(acoustics = acc,
+                             archival = arc,
+                             bathy = gebco,
+                             detection_containers = dat_containers,
+                             detection_kernels = kernels,
+                             detection_kernels_overlap = overlaps$list_by_receiver,
+                             detection_time_window = 10,
+                             mobility = 200,
+                             calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2)
+                             )
+#> flapper::.acs() called (@ 2023-02-19 14:55:13)... 
+#> ... Checking user inputs... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
+#> ... On acoustic time step ('timestep_detection') 1. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   1%... On acoustic time step ('timestep_detection') 2. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   2%... On acoustic time step ('timestep_detection') 3. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==                                                                    |   3%... On acoustic time step ('timestep_detection') 4. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===                                                                   |   4%... On acoustic time step ('timestep_detection') 5. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===                                                                   |   5%... On acoustic time step ('timestep_detection') 6. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====                                                                  |   6%... On acoustic time step ('timestep_detection') 7. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====                                                                 |   7%... On acoustic time step ('timestep_detection') 8. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   8%... On acoustic time step ('timestep_detection') 9. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   9%... On acoustic time step ('timestep_detection') 10. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======                                                               |  10%... On acoustic time step ('timestep_detection') 11. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  11%... On acoustic time step ('timestep_detection') 12. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  12%... On acoustic time step ('timestep_detection') 13. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========                                                             |  13%... On acoustic time step ('timestep_detection') 14. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  14%... On acoustic time step ('timestep_detection') 15. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  15%... On acoustic time step ('timestep_detection') 16. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 17. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============                                                          |  17%... On acoustic time step ('timestep_detection') 18. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============                                                          |  18%... On acoustic time step ('timestep_detection') 19. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============                                                         |  19%... On acoustic time step ('timestep_detection') 20. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============                                                        |  20%... On acoustic time step ('timestep_detection') 21. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  21%... On acoustic time step ('timestep_detection') 22. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  22%... On acoustic time step ('timestep_detection') 23. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================                                                      |  23%... On acoustic time step ('timestep_detection') 24. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  24%... On acoustic time step ('timestep_detection') 25. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  25%... On acoustic time step ('timestep_detection') 26. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================                                                    |  26%... On acoustic time step ('timestep_detection') 27. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  27%... On acoustic time step ('timestep_detection') 28. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  28%... On acoustic time step ('timestep_detection') 29. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====================                                                  |  29%... On acoustic time step ('timestep_detection') 30. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================                                                 |  30%... On acoustic time step ('timestep_detection') 31. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================                                                 |  31%... On acoustic time step ('timestep_detection') 32. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================                                                |  32%... On acoustic time step ('timestep_detection') 33. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================                                               |  33%... On acoustic time step ('timestep_detection') 34. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  34%... On acoustic time step ('timestep_detection') 35. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  35%... On acoustic time step ('timestep_detection') 36. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================                                             |  36%... On acoustic time step ('timestep_detection') 37. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  37%... On acoustic time step ('timestep_detection') 38. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  38%... On acoustic time step ('timestep_detection') 39. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========================                                           |  39%... On acoustic time step ('timestep_detection') 40. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  40%... On acoustic time step ('timestep_detection') 41. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  41%... On acoustic time step ('timestep_detection') 42. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============================                                         |  42%... On acoustic time step ('timestep_detection') 43. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================                                        |  43%... On acoustic time step ('timestep_detection') 44. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================                                        |  44%... On acoustic time step ('timestep_detection') 45. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===============================                                       |  45%... On acoustic time step ('timestep_detection') 46. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================================                                      |  46%... On acoustic time step ('timestep_detection') 47. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is constant ... 
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  48%... On acoustic time step ('timestep_detection') 49. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================                                    |  49%... On acoustic time step ('timestep_detection') 50. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================                                   |  50%... On acoustic time step ('timestep_detection') 51. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... On acoustic time step ('timestep_detection') 52. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================                                  |  51%... On acoustic time step ('timestep_detection') 53. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  52%... On acoustic time step ('timestep_detection') 54. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  53%... On acoustic time step ('timestep_detection') 55. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 56. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |=======================================                               |  55%... On acoustic time step ('timestep_detection') 57. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |========================================                              |  56%... On acoustic time step ('timestep_detection') 58. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================                              |  57%... On acoustic time step ('timestep_detection') 59. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 60. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  59%... On acoustic time step ('timestep_detection') 61. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  60%... On acoustic time step ('timestep_detection') 62. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================                           |  61%... On acoustic time step ('timestep_detection') 63. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  62%... On acoustic time step ('timestep_detection') 64. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  63%... On acoustic time step ('timestep_detection') 65. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================                         |  64%... On acoustic time step ('timestep_detection') 66. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  65%... On acoustic time step ('timestep_detection') 67. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  66%... On acoustic time step ('timestep_detection') 68. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================                       |  67%... On acoustic time step ('timestep_detection') 69. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================                      |  68%... On acoustic time step ('timestep_detection') 70. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================                     |  69%... On acoustic time step ('timestep_detection') 71. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================================================                     |  70%... On acoustic time step ('timestep_detection') 72. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================================                    |  71%... On acoustic time step ('timestep_detection') 73. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================================                   |  72%... On acoustic time step ('timestep_detection') 74. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================                   |  73%... On acoustic time step ('timestep_detection') 75. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================                  |  74%... On acoustic time step ('timestep_detection') 76. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================================                 |  75%... On acoustic time step ('timestep_detection') 77. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================================================                 |  76%... On acoustic time step ('timestep_detection') 78. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================================================                |  77%... On acoustic time step ('timestep_detection') 79. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  78%... On acoustic time step ('timestep_detection') 80. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  79%... On acoustic time step ('timestep_detection') 81. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================================              |  80%... On acoustic time step ('timestep_detection') 82. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================================================             |  81%... On acoustic time step ('timestep_detection') 83. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  82%... On acoustic time step ('timestep_detection') 84. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  83%... On acoustic time step ('timestep_detection') 85. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================================           |  84%... On acoustic time step ('timestep_detection') 86. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 11. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 12. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 13. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 14. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 15. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 16. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 17. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 18. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 19. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 20. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 21. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 22. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 23. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 24. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 25. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 26. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 27. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 28. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 29. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 30. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 31. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 32. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 33. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 34. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 35. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 36. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 37. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 38. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 39. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 40. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 41. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 42. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 43. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 44. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 45. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 46. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 47. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 48. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 49. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 50. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 51. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 52. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 53. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 54. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 55. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 56. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 57. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 58. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 59. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 60. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 61. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 62. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 63. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 64. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 65. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 66. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 67. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 68. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 69. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 70. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 71. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 72. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 73. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 74. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 75. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 76. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 77. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 78. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 79. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 80. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 81. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 82. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 83. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 84. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 85. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 86. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 87. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 88. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  86%... On acoustic time step ('timestep_detection') 88. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================================         |  87%... On acoustic time step ('timestep_detection') 89. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  88%... On acoustic time step ('timestep_detection') 90. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  89%... On acoustic time step ('timestep_detection') 91. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================================       |  90%... On acoustic time step ('timestep_detection') 92. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  91%... On acoustic time step ('timestep_detection') 93. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  92%... On acoustic time step ('timestep_detection') 94. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================================     |  93%... On acoustic time step ('timestep_detection') 95. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==================================================================    |  94%... On acoustic time step ('timestep_detection') 96. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  95%... On acoustic time step ('timestep_detection') 97. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 98. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================================  |  97%... On acoustic time step ('timestep_detection') 99. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  98%... On acoustic time step ('timestep_detection') 100. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  99%... On acoustic time step ('timestep_detection') 101. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================================================| 100%
+#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
+#> ... flapper::.acs() call completed (@ 2023-02-19 14:55:31) after ~0.29 minutes. 
+
+#### Example (4): Compare outputs with/without detection probability and normalisation
+## Without detection kernels
+out_acdc_4a <- flapper:::.acs(acoustics = acc,
+                              archival = arc,
+                              bathy = gebco,
+                              detection_containers = dat_containers,
+                              mobility = 200,
+                              calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2)
+                              )
+#> flapper::.acs() called (@ 2023-02-19 14:55:31)... 
+#> ... Checking user inputs... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
+#> ... On acoustic time step ('timestep_detection') 1. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   1%... On acoustic time step ('timestep_detection') 2. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   2%... On acoustic time step ('timestep_detection') 3. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==                                                                    |   3%... On acoustic time step ('timestep_detection') 4. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===                                                                   |   4%... On acoustic time step ('timestep_detection') 5. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===                                                                   |   5%... On acoustic time step ('timestep_detection') 6. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====                                                                  |   6%... On acoustic time step ('timestep_detection') 7. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====                                                                 |   7%... On acoustic time step ('timestep_detection') 8. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   8%... On acoustic time step ('timestep_detection') 9. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   9%... On acoustic time step ('timestep_detection') 10. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======                                                               |  10%... On acoustic time step ('timestep_detection') 11. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  11%... On acoustic time step ('timestep_detection') 12. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  12%... On acoustic time step ('timestep_detection') 13. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========                                                             |  13%... On acoustic time step ('timestep_detection') 14. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  14%... On acoustic time step ('timestep_detection') 15. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  15%... On acoustic time step ('timestep_detection') 16. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 17. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============                                                          |  17%... On acoustic time step ('timestep_detection') 18. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============                                                          |  18%... On acoustic time step ('timestep_detection') 19. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============                                                         |  19%... On acoustic time step ('timestep_detection') 20. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============                                                        |  20%... On acoustic time step ('timestep_detection') 21. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  21%... On acoustic time step ('timestep_detection') 22. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  22%... On acoustic time step ('timestep_detection') 23. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================                                                      |  23%... On acoustic time step ('timestep_detection') 24. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  24%... On acoustic time step ('timestep_detection') 25. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  25%... On acoustic time step ('timestep_detection') 26. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================                                                    |  26%... On acoustic time step ('timestep_detection') 27. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  27%... On acoustic time step ('timestep_detection') 28. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  28%... On acoustic time step ('timestep_detection') 29. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====================                                                  |  29%... On acoustic time step ('timestep_detection') 30. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================                                                 |  30%... On acoustic time step ('timestep_detection') 31. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================                                                 |  31%... On acoustic time step ('timestep_detection') 32. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================                                                |  32%... On acoustic time step ('timestep_detection') 33. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================                                               |  33%... On acoustic time step ('timestep_detection') 34. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  34%... On acoustic time step ('timestep_detection') 35. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  35%... On acoustic time step ('timestep_detection') 36. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================                                             |  36%... On acoustic time step ('timestep_detection') 37. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  37%... On acoustic time step ('timestep_detection') 38. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  38%... On acoustic time step ('timestep_detection') 39. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========================                                           |  39%... On acoustic time step ('timestep_detection') 40. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  40%... On acoustic time step ('timestep_detection') 41. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  41%... On acoustic time step ('timestep_detection') 42. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============================                                         |  42%... On acoustic time step ('timestep_detection') 43. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================                                        |  43%... On acoustic time step ('timestep_detection') 44. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================                                        |  44%... On acoustic time step ('timestep_detection') 45. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===============================                                       |  45%... On acoustic time step ('timestep_detection') 46. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================================                                      |  46%... On acoustic time step ('timestep_detection') 47. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is constant ... 
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  48%... On acoustic time step ('timestep_detection') 49. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================                                    |  49%... On acoustic time step ('timestep_detection') 50. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================                                   |  50%... On acoustic time step ('timestep_detection') 51. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... On acoustic time step ('timestep_detection') 52. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================                                  |  51%... On acoustic time step ('timestep_detection') 53. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  52%... On acoustic time step ('timestep_detection') 54. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  53%... On acoustic time step ('timestep_detection') 55. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 56. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |=======================================                               |  55%... On acoustic time step ('timestep_detection') 57. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |========================================                              |  56%... On acoustic time step ('timestep_detection') 58. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================                              |  57%... On acoustic time step ('timestep_detection') 59. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 60. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  59%... On acoustic time step ('timestep_detection') 61. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  60%... On acoustic time step ('timestep_detection') 62. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================                           |  61%... On acoustic time step ('timestep_detection') 63. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  62%... On acoustic time step ('timestep_detection') 64. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  63%... On acoustic time step ('timestep_detection') 65. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================                         |  64%... On acoustic time step ('timestep_detection') 66. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  65%... On acoustic time step ('timestep_detection') 67. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  66%... On acoustic time step ('timestep_detection') 68. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================                       |  67%... On acoustic time step ('timestep_detection') 69. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================                      |  68%... On acoustic time step ('timestep_detection') 70. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================                     |  69%... On acoustic time step ('timestep_detection') 71. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================================================                     |  70%... On acoustic time step ('timestep_detection') 72. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================================                    |  71%... On acoustic time step ('timestep_detection') 73. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================================                   |  72%... On acoustic time step ('timestep_detection') 74. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================                   |  73%... On acoustic time step ('timestep_detection') 75. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================                  |  74%... On acoustic time step ('timestep_detection') 76. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================================                 |  75%... On acoustic time step ('timestep_detection') 77. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================================================                 |  76%... On acoustic time step ('timestep_detection') 78. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================================================                |  77%... On acoustic time step ('timestep_detection') 79. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  78%... On acoustic time step ('timestep_detection') 80. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  79%... On acoustic time step ('timestep_detection') 81. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================================              |  80%... On acoustic time step ('timestep_detection') 82. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================================================             |  81%... On acoustic time step ('timestep_detection') 83. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  82%... On acoustic time step ('timestep_detection') 84. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  83%... On acoustic time step ('timestep_detection') 85. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================================           |  84%... On acoustic time step ('timestep_detection') 86. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 11. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 12. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 13. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 14. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 15. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 16. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 17. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 18. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 19. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 20. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 21. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 22. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 23. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 24. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 25. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 26. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 27. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 28. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 29. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 30. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 31. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 32. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 33. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 34. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 35. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 36. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 37. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 38. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 39. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 40. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 41. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 42. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 43. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 44. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 45. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 46. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 47. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 48. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 49. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 50. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 51. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 52. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 53. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 54. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 55. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 56. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 57. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 58. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 59. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 60. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 61. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 62. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 63. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 64. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 65. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 66. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 67. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 68. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 69. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 70. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 71. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 72. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 73. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 74. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 75. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 76. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 77. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 78. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 79. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 80. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 81. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 82. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 83. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 84. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 85. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 86. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 87. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 88. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  86%... On acoustic time step ('timestep_detection') 88. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================================         |  87%... On acoustic time step ('timestep_detection') 89. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  88%... On acoustic time step ('timestep_detection') 90. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  89%... On acoustic time step ('timestep_detection') 91. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================================       |  90%... On acoustic time step ('timestep_detection') 92. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  91%... On acoustic time step ('timestep_detection') 93. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  92%... On acoustic time step ('timestep_detection') 94. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================================     |  93%... On acoustic time step ('timestep_detection') 95. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==================================================================    |  94%... On acoustic time step ('timestep_detection') 96. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  95%... On acoustic time step ('timestep_detection') 97. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 98. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================================  |  97%... On acoustic time step ('timestep_detection') 99. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  98%... On acoustic time step ('timestep_detection') 100. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  99%... On acoustic time step ('timestep_detection') 101. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+#> 
  |                                                                            
  |======================================================================| 100%
+#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
+#> ... flapper::.acs() call completed (@ 2023-02-19 14:55:45) after ~0.24 minutes. 
+out_acdc_4b <- flapper:::.acs(acoustics = acc,
+                              archival = arc,
+                              bathy = gebco,
+                              detection_containers = dat_containers,
+                              normalise = TRUE,
+                              mobility = 200,
+                              calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2)
+                              )
+#> flapper::.acs() called (@ 2023-02-19 14:55:45)... 
+#> ... Checking user inputs... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
+#> ... On acoustic time step ('timestep_detection') 1. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   1%... On acoustic time step ('timestep_detection') 2. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   2%... On acoustic time step ('timestep_detection') 3. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==                                                                    |   3%... On acoustic time step ('timestep_detection') 4. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===                                                                   |   4%... On acoustic time step ('timestep_detection') 5. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===                                                                   |   5%... On acoustic time step ('timestep_detection') 6. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====                                                                  |   6%... On acoustic time step ('timestep_detection') 7. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====                                                                 |   7%... On acoustic time step ('timestep_detection') 8. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   8%... On acoustic time step ('timestep_detection') 9. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   9%... On acoustic time step ('timestep_detection') 10. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======                                                               |  10%... On acoustic time step ('timestep_detection') 11. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  11%... On acoustic time step ('timestep_detection') 12. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  12%... On acoustic time step ('timestep_detection') 13. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========                                                             |  13%... On acoustic time step ('timestep_detection') 14. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  14%... On acoustic time step ('timestep_detection') 15. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  15%... On acoustic time step ('timestep_detection') 16. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 17. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============                                                          |  17%... On acoustic time step ('timestep_detection') 18. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============                                                          |  18%... On acoustic time step ('timestep_detection') 19. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============                                                         |  19%... On acoustic time step ('timestep_detection') 20. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============                                                        |  20%... On acoustic time step ('timestep_detection') 21. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  21%... On acoustic time step ('timestep_detection') 22. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  22%... On acoustic time step ('timestep_detection') 23. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================                                                      |  23%... On acoustic time step ('timestep_detection') 24. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  24%... On acoustic time step ('timestep_detection') 25. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  25%... On acoustic time step ('timestep_detection') 26. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================                                                    |  26%... On acoustic time step ('timestep_detection') 27. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  27%... On acoustic time step ('timestep_detection') 28. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  28%... On acoustic time step ('timestep_detection') 29. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====================                                                  |  29%... On acoustic time step ('timestep_detection') 30. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================                                                 |  30%... On acoustic time step ('timestep_detection') 31. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================                                                 |  31%... On acoustic time step ('timestep_detection') 32. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================                                                |  32%... On acoustic time step ('timestep_detection') 33. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================                                               |  33%... On acoustic time step ('timestep_detection') 34. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  34%... On acoustic time step ('timestep_detection') 35. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  35%... On acoustic time step ('timestep_detection') 36. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================                                             |  36%... On acoustic time step ('timestep_detection') 37. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  37%... On acoustic time step ('timestep_detection') 38. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  38%... On acoustic time step ('timestep_detection') 39. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========================                                           |  39%... On acoustic time step ('timestep_detection') 40. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  40%... On acoustic time step ('timestep_detection') 41. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  41%... On acoustic time step ('timestep_detection') 42. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============================                                         |  42%... On acoustic time step ('timestep_detection') 43. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================                                        |  43%... On acoustic time step ('timestep_detection') 44. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================                                        |  44%... On acoustic time step ('timestep_detection') 45. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===============================                                       |  45%... On acoustic time step ('timestep_detection') 46. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================================                                      |  46%... On acoustic time step ('timestep_detection') 47. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is constant ... 
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  48%... On acoustic time step ('timestep_detection') 49. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================                                    |  49%... On acoustic time step ('timestep_detection') 50. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================                                   |  50%... On acoustic time step ('timestep_detection') 51. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... On acoustic time step ('timestep_detection') 52. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================                                  |  51%... On acoustic time step ('timestep_detection') 53. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  52%... On acoustic time step ('timestep_detection') 54. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  53%... On acoustic time step ('timestep_detection') 55. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 56. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |=======================================                               |  55%... On acoustic time step ('timestep_detection') 57. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |========================================                              |  56%... On acoustic time step ('timestep_detection') 58. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================                              |  57%... On acoustic time step ('timestep_detection') 59. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 60. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  59%... On acoustic time step ('timestep_detection') 61. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  60%... On acoustic time step ('timestep_detection') 62. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================                           |  61%... On acoustic time step ('timestep_detection') 63. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  62%... On acoustic time step ('timestep_detection') 64. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  63%... On acoustic time step ('timestep_detection') 65. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================                         |  64%... On acoustic time step ('timestep_detection') 66. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  65%... On acoustic time step ('timestep_detection') 67. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  66%... On acoustic time step ('timestep_detection') 68. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================                       |  67%... On acoustic time step ('timestep_detection') 69. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================                      |  68%... On acoustic time step ('timestep_detection') 70. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================                     |  69%... On acoustic time step ('timestep_detection') 71. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================================================                     |  70%... On acoustic time step ('timestep_detection') 72. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================================                    |  71%... On acoustic time step ('timestep_detection') 73. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================================                   |  72%... On acoustic time step ('timestep_detection') 74. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================                   |  73%... On acoustic time step ('timestep_detection') 75. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================                  |  74%... On acoustic time step ('timestep_detection') 76. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================================                 |  75%... On acoustic time step ('timestep_detection') 77. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================================================                 |  76%... On acoustic time step ('timestep_detection') 78. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================================================                |  77%... On acoustic time step ('timestep_detection') 79. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  78%... On acoustic time step ('timestep_detection') 80. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  79%... On acoustic time step ('timestep_detection') 81. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================================              |  80%... On acoustic time step ('timestep_detection') 82. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================================================             |  81%... On acoustic time step ('timestep_detection') 83. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  82%... On acoustic time step ('timestep_detection') 84. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  83%... On acoustic time step ('timestep_detection') 85. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================================           |  84%... On acoustic time step ('timestep_detection') 86. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 11. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 12. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 13. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 14. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 15. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 16. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 17. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 18. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 19. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 20. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 21. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 22. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 23. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 24. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 25. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 26. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 27. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 28. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 29. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 30. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 31. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 32. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 33. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 34. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 35. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 36. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 37. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 38. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 39. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 40. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 41. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 42. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 43. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 44. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 45. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 46. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 47. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 48. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 49. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 50. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 51. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 52. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 53. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 54. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 55. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 56. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 57. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 58. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 59. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 60. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 61. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 62. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 63. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 64. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 65. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 66. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 67. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 68. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 69. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 70. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 71. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 72. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 73. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 74. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 75. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 76. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 77. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 78. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 79. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 80. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 81. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 82. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 83. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 84. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 85. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 86. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 87. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 88. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  86%... On acoustic time step ('timestep_detection') 88. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================================         |  87%... On acoustic time step ('timestep_detection') 89. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  88%... On acoustic time step ('timestep_detection') 90. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  89%... On acoustic time step ('timestep_detection') 91. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================================       |  90%... On acoustic time step ('timestep_detection') 92. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  91%... On acoustic time step ('timestep_detection') 93. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  92%... On acoustic time step ('timestep_detection') 94. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================================     |  93%... On acoustic time step ('timestep_detection') 95. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==================================================================    |  94%... On acoustic time step ('timestep_detection') 96. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  95%... On acoustic time step ('timestep_detection') 97. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 98. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================================  |  97%... On acoustic time step ('timestep_detection') 99. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  98%... On acoustic time step ('timestep_detection') 100. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  99%... On acoustic time step ('timestep_detection') 101. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================================================| 100%
+#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
+#> ... flapper::.acs() call completed (@ 2023-02-19 14:55:59) after ~0.23 minutes. 
+## With detection kernels
+out_acdc_4c <- flapper:::.acs(acoustics = acc,
+                              archival = arc,
+                              bathy = gebco,
+                              detection_containers = dat_containers,
+                              detection_kernels = kernels,
+                              mobility = 200,
+                              calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2)
+                              )
+#> flapper::.acs() called (@ 2023-02-19 14:55:59)... 
+#> ... Checking user inputs... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
+#> ... On acoustic time step ('timestep_detection') 1. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   1%... On acoustic time step ('timestep_detection') 2. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   2%... On acoustic time step ('timestep_detection') 3. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==                                                                    |   3%... On acoustic time step ('timestep_detection') 4. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===                                                                   |   4%... On acoustic time step ('timestep_detection') 5. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===                                                                   |   5%... On acoustic time step ('timestep_detection') 6. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====                                                                  |   6%... On acoustic time step ('timestep_detection') 7. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====                                                                 |   7%... On acoustic time step ('timestep_detection') 8. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   8%... On acoustic time step ('timestep_detection') 9. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   9%... On acoustic time step ('timestep_detection') 10. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======                                                               |  10%... On acoustic time step ('timestep_detection') 11. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  11%... On acoustic time step ('timestep_detection') 12. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  12%... On acoustic time step ('timestep_detection') 13. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========                                                             |  13%... On acoustic time step ('timestep_detection') 14. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  14%... On acoustic time step ('timestep_detection') 15. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  15%... On acoustic time step ('timestep_detection') 16. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 17. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============                                                          |  17%... On acoustic time step ('timestep_detection') 18. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============                                                          |  18%... On acoustic time step ('timestep_detection') 19. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============                                                         |  19%... On acoustic time step ('timestep_detection') 20. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============                                                        |  20%... On acoustic time step ('timestep_detection') 21. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  21%... On acoustic time step ('timestep_detection') 22. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  22%... On acoustic time step ('timestep_detection') 23. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================                                                      |  23%... On acoustic time step ('timestep_detection') 24. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  24%... On acoustic time step ('timestep_detection') 25. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  25%... On acoustic time step ('timestep_detection') 26. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================                                                    |  26%... On acoustic time step ('timestep_detection') 27. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  27%... On acoustic time step ('timestep_detection') 28. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  28%... On acoustic time step ('timestep_detection') 29. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====================                                                  |  29%... On acoustic time step ('timestep_detection') 30. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================                                                 |  30%... On acoustic time step ('timestep_detection') 31. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================                                                 |  31%... On acoustic time step ('timestep_detection') 32. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================                                                |  32%... On acoustic time step ('timestep_detection') 33. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================                                               |  33%... On acoustic time step ('timestep_detection') 34. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  34%... On acoustic time step ('timestep_detection') 35. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  35%... On acoustic time step ('timestep_detection') 36. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================                                             |  36%... On acoustic time step ('timestep_detection') 37. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  37%... On acoustic time step ('timestep_detection') 38. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  38%... On acoustic time step ('timestep_detection') 39. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========================                                           |  39%... On acoustic time step ('timestep_detection') 40. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  40%... On acoustic time step ('timestep_detection') 41. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  41%... On acoustic time step ('timestep_detection') 42. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============================                                         |  42%... On acoustic time step ('timestep_detection') 43. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================                                        |  43%... On acoustic time step ('timestep_detection') 44. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================                                        |  44%... On acoustic time step ('timestep_detection') 45. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===============================                                       |  45%... On acoustic time step ('timestep_detection') 46. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================================                                      |  46%... On acoustic time step ('timestep_detection') 47. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is constant ... 
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  48%... On acoustic time step ('timestep_detection') 49. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================                                    |  49%... On acoustic time step ('timestep_detection') 50. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================                                   |  50%... On acoustic time step ('timestep_detection') 51. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... On acoustic time step ('timestep_detection') 52. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================                                  |  51%... On acoustic time step ('timestep_detection') 53. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  52%... On acoustic time step ('timestep_detection') 54. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  53%... On acoustic time step ('timestep_detection') 55. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 56. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |=======================================                               |  55%... On acoustic time step ('timestep_detection') 57. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |========================================                              |  56%... On acoustic time step ('timestep_detection') 58. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================                              |  57%... On acoustic time step ('timestep_detection') 59. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 60. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  59%... On acoustic time step ('timestep_detection') 61. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  60%... On acoustic time step ('timestep_detection') 62. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================                           |  61%... On acoustic time step ('timestep_detection') 63. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  62%... On acoustic time step ('timestep_detection') 64. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  63%... On acoustic time step ('timestep_detection') 65. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================                         |  64%... On acoustic time step ('timestep_detection') 66. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  65%... On acoustic time step ('timestep_detection') 67. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  66%... On acoustic time step ('timestep_detection') 68. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================                       |  67%... On acoustic time step ('timestep_detection') 69. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================                      |  68%... On acoustic time step ('timestep_detection') 70. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================                     |  69%... On acoustic time step ('timestep_detection') 71. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================================================                     |  70%... On acoustic time step ('timestep_detection') 72. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================================                    |  71%... On acoustic time step ('timestep_detection') 73. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================================                   |  72%... On acoustic time step ('timestep_detection') 74. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================                   |  73%... On acoustic time step ('timestep_detection') 75. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================                  |  74%... On acoustic time step ('timestep_detection') 76. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================================                 |  75%... On acoustic time step ('timestep_detection') 77. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================================================                 |  76%... On acoustic time step ('timestep_detection') 78. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================================================                |  77%... On acoustic time step ('timestep_detection') 79. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  78%... On acoustic time step ('timestep_detection') 80. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  79%... On acoustic time step ('timestep_detection') 81. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================================              |  80%... On acoustic time step ('timestep_detection') 82. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================================================             |  81%... On acoustic time step ('timestep_detection') 83. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  82%... On acoustic time step ('timestep_detection') 84. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  83%... On acoustic time step ('timestep_detection') 85. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================================           |  84%... On acoustic time step ('timestep_detection') 86. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 11. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 12. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 13. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 14. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 15. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 16. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 17. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 18. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 19. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 20. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 21. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 22. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 23. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 24. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 25. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 26. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 27. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 28. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 29. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 30. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 31. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 32. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 33. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 34. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 35. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 36. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 37. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 38. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 39. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 40. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 41. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 42. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 43. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 44. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 45. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 46. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 47. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 48. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 49. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 50. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 51. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 52. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 53. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 54. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 55. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 56. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 57. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 58. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 59. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 60. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 61. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 62. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 63. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 64. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 65. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 66. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 67. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 68. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 69. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 70. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 71. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 72. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 73. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 74. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 75. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 76. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 77. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 78. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 79. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 80. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 81. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 82. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 83. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 84. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 85. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 86. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 87. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 88. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  86%... On acoustic time step ('timestep_detection') 88. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================================         |  87%... On acoustic time step ('timestep_detection') 89. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  88%... On acoustic time step ('timestep_detection') 90. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  89%... On acoustic time step ('timestep_detection') 91. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================================       |  90%... On acoustic time step ('timestep_detection') 92. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  91%... On acoustic time step ('timestep_detection') 93. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  92%... On acoustic time step ('timestep_detection') 94. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================================     |  93%... On acoustic time step ('timestep_detection') 95. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==================================================================    |  94%... On acoustic time step ('timestep_detection') 96. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  95%... On acoustic time step ('timestep_detection') 97. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 98. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================================  |  97%... On acoustic time step ('timestep_detection') 99. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  98%... On acoustic time step ('timestep_detection') 100. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  99%... On acoustic time step ('timestep_detection') 101. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================================================| 100%
+#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
+#> ... flapper::.acs() call completed (@ 2023-02-19 14:56:16) after ~0.28 minutes. 
+out_acdc_4d <- flapper:::.acs(acoustics = acc,
+                              archival = arc,
+                              bathy = gebco,
+                               detection_containers = dat_containers,
+                              detection_kernels = kernels, normalise = TRUE,
+                              mobility = 200,
+                              calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2)
+                              )
+#> flapper::.acs() called (@ 2023-02-19 14:56:16)... 
+#> ... Checking user inputs... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
+#> ... On acoustic time step ('timestep_detection') 1. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   1%... On acoustic time step ('timestep_detection') 2. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=                                                                     |   2%... On acoustic time step ('timestep_detection') 3. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==                                                                    |   3%... On acoustic time step ('timestep_detection') 4. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===                                                                   |   4%... On acoustic time step ('timestep_detection') 5. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===                                                                   |   5%... On acoustic time step ('timestep_detection') 6. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====                                                                  |   6%... On acoustic time step ('timestep_detection') 7. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====                                                                 |   7%... On acoustic time step ('timestep_detection') 8. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   8%... On acoustic time step ('timestep_detection') 9. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======                                                                |   9%... On acoustic time step ('timestep_detection') 10. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======                                                               |  10%... On acoustic time step ('timestep_detection') 11. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  11%... On acoustic time step ('timestep_detection') 12. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========                                                              |  12%... On acoustic time step ('timestep_detection') 13. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========                                                             |  13%... On acoustic time step ('timestep_detection') 14. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  14%... On acoustic time step ('timestep_detection') 15. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========                                                            |  15%... On acoustic time step ('timestep_detection') 16. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |===========                                                           |  16%... On acoustic time step ('timestep_detection') 17. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============                                                          |  17%... On acoustic time step ('timestep_detection') 18. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============                                                          |  18%... On acoustic time step ('timestep_detection') 19. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============                                                         |  19%... On acoustic time step ('timestep_detection') 20. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============                                                        |  20%... On acoustic time step ('timestep_detection') 21. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  21%... On acoustic time step ('timestep_detection') 22. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  22%... On acoustic time step ('timestep_detection') 23. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================                                                      |  23%... On acoustic time step ('timestep_detection') 24. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  24%... On acoustic time step ('timestep_detection') 25. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================                                                     |  25%... On acoustic time step ('timestep_detection') 26. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================                                                    |  26%... On acoustic time step ('timestep_detection') 27. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  27%... On acoustic time step ('timestep_detection') 28. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================                                                   |  28%... On acoustic time step ('timestep_detection') 29. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |====================                                                  |  29%... On acoustic time step ('timestep_detection') 30. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================                                                 |  30%... On acoustic time step ('timestep_detection') 31. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================                                                 |  31%... On acoustic time step ('timestep_detection') 32. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================                                                |  32%... On acoustic time step ('timestep_detection') 33. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================                                               |  33%... On acoustic time step ('timestep_detection') 34. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  34%... On acoustic time step ('timestep_detection') 35. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================                                              |  35%... On acoustic time step ('timestep_detection') 36. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================                                             |  36%... On acoustic time step ('timestep_detection') 37. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  37%... On acoustic time step ('timestep_detection') 38. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================                                            |  38%... On acoustic time step ('timestep_detection') 39. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========================                                           |  39%... On acoustic time step ('timestep_detection') 40. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  40%... On acoustic time step ('timestep_detection') 41. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================                                          |  41%... On acoustic time step ('timestep_detection') 42. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============================                                         |  42%... On acoustic time step ('timestep_detection') 43. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================                                        |  43%... On acoustic time step ('timestep_detection') 44. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================                                        |  44%... On acoustic time step ('timestep_detection') 45. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===============================                                       |  45%... On acoustic time step ('timestep_detection') 46. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |================================                                      |  46%... On acoustic time step ('timestep_detection') 47. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  47%... On acoustic time step ('timestep_detection') 48. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is constant ... 
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  48%... On acoustic time step ('timestep_detection') 49. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================                                    |  49%... On acoustic time step ('timestep_detection') 50. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================                                   |  50%... On acoustic time step ('timestep_detection') 51. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... On acoustic time step ('timestep_detection') 52. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================                                  |  51%... On acoustic time step ('timestep_detection') 53. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  52%... On acoustic time step ('timestep_detection') 54. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  53%... On acoustic time step ('timestep_detection') 55. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================                                |  54%... On acoustic time step ('timestep_detection') 56. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is constant ... 
+#> 
  |                                                                            
  |=======================================                               |  55%... On acoustic time step ('timestep_detection') 57. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |========================================                              |  56%... On acoustic time step ('timestep_detection') 58. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================                              |  57%... On acoustic time step ('timestep_detection') 59. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=========================================                             |  58%... On acoustic time step ('timestep_detection') 60. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  59%... On acoustic time step ('timestep_detection') 61. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================                            |  60%... On acoustic time step ('timestep_detection') 62. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================                           |  61%... On acoustic time step ('timestep_detection') 63. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  62%... On acoustic time step ('timestep_detection') 64. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |============================================                          |  63%... On acoustic time step ('timestep_detection') 65. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================                         |  64%... On acoustic time step ('timestep_detection') 66. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  65%... On acoustic time step ('timestep_detection') 67. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  66%... On acoustic time step ('timestep_detection') 68. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================                       |  67%... On acoustic time step ('timestep_detection') 69. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================                      |  68%... On acoustic time step ('timestep_detection') 70. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================                     |  69%... On acoustic time step ('timestep_detection') 71. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=================================================                     |  70%... On acoustic time step ('timestep_detection') 72. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================================================                    |  71%... On acoustic time step ('timestep_detection') 73. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================================                   |  72%... On acoustic time step ('timestep_detection') 74. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================                   |  73%... On acoustic time step ('timestep_detection') 75. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================                  |  74%... On acoustic time step ('timestep_detection') 76. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================================                 |  75%... On acoustic time step ('timestep_detection') 77. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=====================================================                 |  76%... On acoustic time step ('timestep_detection') 78. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================================================                |  77%... On acoustic time step ('timestep_detection') 79. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  78%... On acoustic time step ('timestep_detection') 80. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=======================================================               |  79%... On acoustic time step ('timestep_detection') 81. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |========================================================              |  80%... On acoustic time step ('timestep_detection') 82. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=========================================================             |  81%... On acoustic time step ('timestep_detection') 83. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  82%... On acoustic time step ('timestep_detection') 84. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==========================================================            |  83%... On acoustic time step ('timestep_detection') 85. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===========================================================           |  84%... On acoustic time step ('timestep_detection') 86. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 3. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 4. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 5. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 6. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 7. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 8. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 9. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 10. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 11. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 12. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 13. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 14. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 15. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 16. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 17. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 18. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 19. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 20. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 21. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 22. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 23. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 24. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 25. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 26. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 27. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 28. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 29. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 30. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 31. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 32. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 33. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 34. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 35. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 36. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 37. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 38. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 39. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 40. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 41. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 42. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 43. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 44. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 45. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 46. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 47. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 48. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 49. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 50. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 51. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 52. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 53. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 54. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 55. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 56. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 57. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 58. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 59. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 60. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 61. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 62. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 63. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 64. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 65. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 66. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 67. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 68. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 69. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 70. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 71. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 72. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 73. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 74. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 75. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 76. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 77. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 78. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 79. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 80. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 81. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 82. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 83. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 84. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 85. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 86. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 87. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 88. 
+#> ... ... ... Acoustic container is shrinking ... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  85%... On acoustic time step ('timestep_detection') 87. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  86%... On acoustic time step ('timestep_detection') 88. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |=============================================================         |  87%... On acoustic time step ('timestep_detection') 89. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  88%... On acoustic time step ('timestep_detection') 90. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==============================================================        |  89%... On acoustic time step ('timestep_detection') 91. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================================       |  90%... On acoustic time step ('timestep_detection') 92. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  91%... On acoustic time step ('timestep_detection') 93. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  92%... On acoustic time step ('timestep_detection') 94. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================================     |  93%... On acoustic time step ('timestep_detection') 95. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==================================================================    |  94%... On acoustic time step ('timestep_detection') 96. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  95%... On acoustic time step ('timestep_detection') 97. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  96%... On acoustic time step ('timestep_detection') 98. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================================  |  97%... On acoustic time step ('timestep_detection') 99. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  98%... On acoustic time step ('timestep_detection') 100. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  99%... On acoustic time step ('timestep_detection') 101. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================================================| 100%
+#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
+#> ... flapper::.acs() call completed (@ 2023-02-19 14:56:31) after ~0.25 minutes. 
+## Comparison of final maps
+pp <- par(mfrow = c(2, 2))
+raster::plot(out_acdc_4a$map, main = "4a")
+raster::plot(out_acdc_4b$map, main = "4b")
+raster::plot(out_acdc_4c$map, main = "4c")
+raster::plot(out_acdc_4d$map, main = "4d")
+
+par(pp)
+
+#### Example (5): Implement AC or ACDC algorithm and write messages to file via 'con'
+out_acdc_5 <- flapper:::.acs(acoustics = acc,
+                             archival = arc,
+                             bathy = gebco,
+                             detection_containers = dat_containers,
+                             mobility = 200,
+                             calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
+                             verbose = TRUE,
+                             con = paste0(tempdir(), "/", "acdc_log.txt")
+                             )
+#> 'calc_depth_error' function taken to be independent of depth.
+#> 
  |                                                                            
  |                                                                      |   0%
  |                                                                            
  |=                                                                     |   1%
  |                                                                            
  |=                                                                     |   2%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==                                                                    |   3%
  |                                                                            
  |===                                                                   |   4%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===                                                                   |   5%
  |                                                                            
  |====                                                                  |   6%
  |                                                                            
  |=====                                                                 |   7%
  |                                                                            
  |======                                                                |   8%
  |                                                                            
  |======                                                                |   9%
  |                                                                            
  |=======                                                               |  10%
  |                                                                            
  |========                                                              |  11%
  |                                                                            
  |========                                                              |  12%
  |                                                                            
  |=========                                                             |  13%
  |                                                                            
  |==========                                                            |  14%
  |                                                                            
  |==========                                                            |  15%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========                                                           |  16%
  |                                                                            
  |============                                                          |  17%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============                                                          |  18%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============                                                         |  19%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============                                                        |  20%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  21%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  22%
  |                                                                            
  |================                                                      |  23%
  |                                                                            
  |=================                                                     |  24%
  |                                                                            
  |=================                                                     |  25%
  |                                                                            
  |==================                                                    |  26%
  |                                                                            
  |===================                                                   |  27%
  |                                                                            
  |===================                                                   |  28%
  |                                                                            
  |====================                                                  |  29%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================                                                 |  30%
  |                                                                            
  |=====================                                                 |  31%
  |                                                                            
  |======================                                                |  32%
  |                                                                            
  |=======================                                               |  33%
  |                                                                            
  |========================                                              |  34%
  |                                                                            
  |========================                                              |  35%
  |                                                                            
  |=========================                                             |  36%
  |                                                                            
  |==========================                                            |  37%
  |                                                                            
  |==========================                                            |  38%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========================                                           |  39%
  |                                                                            
  |============================                                          |  40%
  |                                                                            
  |============================                                          |  41%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============================                                         |  42%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================                                        |  43%
  |                                                                            
  |==============================                                        |  44%
  |                                                                            
  |===============================                                       |  45%
  |                                                                            
  |================================                                      |  46%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  47%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  48%
  |                                                                            
  |==================================                                    |  49%
  |                                                                            
  |===================================                                   |  50%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================                                  |  51%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  52%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  53%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================                                |  54%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=======================================                               |  55%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |========================================                              |  56%
  |                                                                            
  |========================================                              |  57%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=========================================                             |  58%
  |                                                                            
  |==========================================                            |  59%
  |                                                                            
  |==========================================                            |  60%
  |                                                                            
  |===========================================                           |  61%
  |                                                                            
  |============================================                          |  62%
  |                                                                            
  |============================================                          |  63%
  |                                                                            
  |=============================================                         |  64%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  65%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  66%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================                       |  67%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================                      |  68%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================                     |  69%
  |                                                                            
  |=================================================                     |  70%
  |                                                                            
  |==================================================                    |  71%
  |                                                                            
  |===================================================                   |  72%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================                   |  73%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================                  |  74%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================================                 |  75%
  |                                                                            
  |=====================================================                 |  76%
  |                                                                            
  |======================================================                |  77%
  |                                                                            
  |=======================================================               |  78%
  |                                                                            
  |=======================================================               |  79%
  |                                                                            
  |========================================================              |  80%
  |                                                                            
  |=========================================================             |  81%
  |                                                                            
  |==========================================================            |  82%
  |                                                                            
  |==========================================================            |  83%
  |                                                                            
  |===========================================================           |  84%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  85%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  86%
  |                                                                            
  |=============================================================         |  87%
  |                                                                            
  |==============================================================        |  88%
  |                                                                            
  |==============================================================        |  89%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================================       |  90%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  91%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  92%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================================     |  93%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==================================================================    |  94%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  95%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  96%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================================  |  97%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  98%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  99%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================================================| 100%
+# Check log
+utils::head(readLines(paste0(tempdir(), "/", "acdc_log.txt")))
+#> [1] "flapper::.acs_pl() called (@ 2023-02-19 14:45:52)... "
+#> [2] "... Checking user inputs... "                         
+#> [3] "... Splitting 'acoustics' into chunks... "            
+#> [4] "... Processing acoustics chunks... "                  
+#> [5] "... ... Checking for NULL/empty chunks... "           
+#> [6] "... ... Overlapping chunks... "                       
+utils::tail(readLines(paste0(tempdir(), "/", "acdc_log.txt")))
+#> [1] "... On acoustic time step ('timestep_detection') 100. "                              
+#> [2] "... ... On internal time step ('timestep_archival') 1. "                             
+#> [3] "... On acoustic time step ('timestep_detection') 101. "                              
+#> [4] "... ... On internal time step ('timestep_archival') 1. "                             
+#> [5] "... Movement over acoustic and internal ('archival') time steps has been completed. "
+#> [6] "... flapper::.acs() call completed (@ 2023-02-19 14:56:44) after ~0.22 minutes. "    
+
+#### Example (6): Implement AC or ACDC algorithm and return spatial information
+# Specify save_record_spatial = NULL to include spatial information for all time steps
+# ... (used for plotting) or a vector to include this information for specific time steps
+out_acdc_6 <- flapper:::.acs(acoustics = acc,
+                             archival = arc,
+                             bathy = gebco,
+                             detection_containers = dat_containers,
+                             mobility = 200,
+                             calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
+                             save_record_spatial = NULL,
+                             verbose = TRUE,
+                             con = paste0(tempdir(), "/", "acdc_log.txt")
+                             )
+#> 'calc_depth_error' function taken to be independent of depth.
+#> 
  |                                                                            
  |                                                                      |   0%
  |                                                                            
  |=                                                                     |   1%
  |                                                                            
  |=                                                                     |   2%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==                                                                    |   3%
  |                                                                            
  |===                                                                   |   4%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===                                                                   |   5%
  |                                                                            
  |====                                                                  |   6%
  |                                                                            
  |=====                                                                 |   7%
  |                                                                            
  |======                                                                |   8%
  |                                                                            
  |======                                                                |   9%
  |                                                                            
  |=======                                                               |  10%
  |                                                                            
  |========                                                              |  11%
  |                                                                            
  |========                                                              |  12%
  |                                                                            
  |=========                                                             |  13%
  |                                                                            
  |==========                                                            |  14%
  |                                                                            
  |==========                                                            |  15%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========                                                           |  16%
  |                                                                            
  |============                                                          |  17%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============                                                          |  18%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============                                                         |  19%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============                                                        |  20%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  21%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============                                                       |  22%
  |                                                                            
  |================                                                      |  23%
  |                                                                            
  |=================                                                     |  24%
  |                                                                            
  |=================                                                     |  25%
  |                                                                            
  |==================                                                    |  26%
  |                                                                            
  |===================                                                   |  27%
  |                                                                            
  |===================                                                   |  28%
  |                                                                            
  |====================                                                  |  29%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================                                                 |  30%
  |                                                                            
  |=====================                                                 |  31%
  |                                                                            
  |======================                                                |  32%
  |                                                                            
  |=======================                                               |  33%
  |                                                                            
  |========================                                              |  34%
  |                                                                            
  |========================                                              |  35%
  |                                                                            
  |=========================                                             |  36%
  |                                                                            
  |==========================                                            |  37%
  |                                                                            
  |==========================                                            |  38%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===========================                                           |  39%
  |                                                                            
  |============================                                          |  40%
  |                                                                            
  |============================                                          |  41%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=============================                                         |  42%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================                                        |  43%
  |                                                                            
  |==============================                                        |  44%
  |                                                                            
  |===============================                                       |  45%
  |                                                                            
  |================================                                      |  46%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  47%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================                                     |  48%
  |                                                                            
  |==================================                                    |  49%
  |                                                                            
  |===================================                                   |  50%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================                                  |  51%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  52%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=====================================                                 |  53%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |======================================                                |  54%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=======================================                               |  55%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |========================================                              |  56%
  |                                                                            
  |========================================                              |  57%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=========================================                             |  58%
  |                                                                            
  |==========================================                            |  59%
  |                                                                            
  |==========================================                            |  60%
  |                                                                            
  |===========================================                           |  61%
  |                                                                            
  |============================================                          |  62%
  |                                                                            
  |============================================                          |  63%
  |                                                                            
  |=============================================                         |  64%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  65%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==============================================                        |  66%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================                       |  67%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================                      |  68%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================                     |  69%
  |                                                                            
  |=================================================                     |  70%
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  |==================================================                    |  71%
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  |===================================================                   |  72%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================                   |  73%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================                  |  74%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
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+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  85%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |============================================================          |  86%
  |                                                                            
  |=============================================================         |  87%
  |                                                                            
  |==============================================================        |  88%
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  |==============================================================        |  89%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===============================================================       |  90%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  91%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |================================================================      |  92%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |=================================================================     |  93%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |==================================================================    |  94%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  95%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================   |  96%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================================  |  97%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  98%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |===================================================================== |  99%
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+#> 
  |                                                                            
  |======================================================================| 100%
+
+
+
    +
    +
    - - - + + diff --git a/docs/reference/dot-acs_pl.html b/docs/reference/dot-acs_pl.html index 956c0ef..4d2acda 100644 --- a/docs/reference/dot-acs_pl.html +++ b/docs/reference/dot-acs_pl.html @@ -1,67 +1,12 @@ - - - - - - - -Intermediate wrapper for .acs that supports parallelisation — .acs_pl • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Intermediate wrapper for .acs that supports parallelisation — .acs_pl • flapper - + + - - - -
    -
    - -
    - -
    +
    -

    Intermediate wrapper for .acs that supports parallelisation

    - Source: R/acs_pl_backend.R +

    Intermediate wrapper for .acs that supports parallelisation

    + Source: R/acs_pl_backend.R
    -

    This function implements the acoustic-container (AC) and acoustic-container depth-contour (ACDC) algorithms. This is called via a front-end function (i.e. ac or acdc). It checks and processes inputs and implements the selected algorithm via calls to .acs. Outputs are returned in a named list.

    +

    This function implements the acoustic-container (AC) and acoustic-container depth-contour (ACDC) algorithms. This is called via a front-end function (i.e. ac or acdc). It checks and processes inputs and implements the selected algorithm via calls to .acs. Outputs are returned in a named list.

    - 
    .acs_pl(
-  acoustics,
-  archival = NULL,
-  step = 120,
-  plot_ts = TRUE,
-  bathy,
-  detection_containers,
-  detection_kernels = NULL,
-  detection_kernels_overlap = NULL,
-  detection_time_window = 5,
-  mobility,
-  calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
-  normalise = TRUE,
-  save_record_spatial = 1L,
-  write_record_spatial_for_pf = NULL,
-  verbose = TRUE,
-  con = "",
-  progress = 1L,
-  split = NULL,
-  cl = NULL,
-  varlist = NULL
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    acoustics

    A dataframe, or a list of dataframes, that contains passive acoustic telemetry detection time series (see dat_acoustics for an example) for a single individual. Each dataframe should contain the following columns: an integer vector of receiver IDs, named `receiver_id'; an integer vector of detection indices, named `index'; and a POSIXct vector of time stamps when detections were made, named `timestamp'. If a list of dataframes is supplied, dataframes must be refer to the detections of a single individual and be ordered by time (e.g., in hourly chunks). In addition, sequential list elements must be linked by identical receiver pairs (i.e., the final receiver at which the individual was detected for any given chunk must be the same as the receiver at which the individual was next detected at the start of the next chunk) because it is only in this specific scenario that information does not need to be shared across time steps (see split). The algorithm will be implemented on each dataframe, termed `chunk', either in sequence or parallel. Any empty or NULL elements will be removed automatically.

    archival

    For the ACDC algorithm, archival is a dataframe that contains depth time series (see .acs).

    step

    A number that defines the time step length (s) between consecutive detections (see .acs).

    plot_ts

    A logical input that defines whether or not to plot movement time series (see .acs).

    bathy

    A raster that defines the area (for the AC algorithm) or bathymetry (for the ACDC algorithm) across the area within which the individual could have moved (see .acs).

    detection_containers

    A list of detection containers (see .acs).

    detection_kernels

    A named list of detection probability kernels (see .acs).

    detection_kernels_overlap

    A named list of detection probability kernel overlaps, directly from get_detection_containers_overlap. This must contain an element named `list_by_receiver' with the data for each receiver.

    detection_time_window

    A number that defines the detection time window (see .acs)

    mobility

    The mobility parameter (see .acs).

    calc_depth_error

    The depth error function (see .acs).

    normalise

    A logical input that defines whether or not to normalise maps (see .acs).

    save_record_spatial

    An integer of the spatial layers to save (see .acs).

    write_record_spatial_for_pf

    A named list used to write time step-specific maps to file (see .acs).

    verbose

    A logical variable that defines whether or not to print messages to the console or to file to relay function progress. If con = "", messages are printed to the console (which is only supported if the algorithm is not implemented in parallel: see below); otherwise, they are written to file (see below).

    con

    If verbose = TRUE, con is character string defines how messages relaying function progress are returned. If con = "", messages are printed to the console (unless redirected by sink), an approach that is only implemented if the function is not implemented in parallel. Otherwise, con defines the directory into which to write .txt files, into which messages are written to relay function progress. This approach, rather than printing to the console, is recommended for clarity, speed and debugging. If the algorithm is implemented step-wise, then a single file is written to the specified directory named acdc_log.txt. If the algorithm is implemented chunk-wise, then an additional file is written for each chunk (named dot_acdc_log_1.txt, dot_acdc_log_2.txt and so on), with the details for each chunk.

    progress

    (optional) If the algorithm is implemented step-wise, progress is an integer (1, 2 or 3) that defines whether or not to display a progress bar in the console as the algorithm moves over acoustic time steps (1), the `archival' time steps between each pair of acoustic detections (2) or both acoustic and archival time steps (3), in which case the overall acoustic progress bar is punctuated by an archival progress bar for each pair of acoustic detections. This option is useful if there is a large number of archival observations between acoustic detections. Any other input will suppress the progress bar. If the algorithm is implemented for chunks, inputs to progress are ignored and a single progress bar is shown of the progress across acoustic chunks.

    split

    A character string that defines the (approximate) time unit used to split acoustic time series into chunks (e.g., "12 hours"). If provided, this must be supported by cut.POSIXt (otherwise, a pre-defined list of acoustic time series can be passed to acoustics, e.g., specifying seasonal chunks). If split = NULL and a cluster has been specified (see cl) (and acoustics is a dataframe), then the acoustic time series is automatically split into chunks and the algorithm implemented for each chunk in parallel. In all cases, splitting is subject to the constraint that chunks must join at identical receiver pairs (i.e., the last receiver at which the individual was detected on one chunk must match the first receiver at which the individual was next detected at the start of the next chunk): in these specific scenarios, information does not need to transfer from one time step to the next.

    cl, varlist

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes to implement the algorithm in parallel. If supplied, the algorithm is implemented for each chunk in a list of acoustic time series, either (a) as supplied by the user (if acoustics is a list), (b) as defined by the input to split, or (c) as defined automatically from the number of nodes in the cluster if split = NULL. If cl is supplied, varlist may also be required. This is a character vector of objects to export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    - -

    Value

    - -

    The function returns an acdc_archive-class object. If a connection to write files has also been specified, an overall log (acdc_log.txt) as well as chunk-specific logs from calls to .acs, if applicable, are written to file.

    -

    See also

    - -

    The front-end functions ac and acdc call this function, which in turn calls .acs. acs_setup_containers defines the detection containers required by this function. acs_setup_mobility is used to examine the assumption of the constant `mobility' parameter. acs_setup_detection_kernels produces detection probability kernels for incorporation into the function. For calls via ac and acdc, acdc_simplify simplifies the outputs and acdc_plot_trace, acdc_plot_record and acdc_animate_record visualise the results.

    -

    Author

    +
    + 
    .acs_pl(
+  acoustics,
+  archival = NULL,
+  step = 120,
+  plot_ts = TRUE,
+  bathy,
+  detection_containers,
+  detection_kernels = NULL,
+  detection_kernels_overlap = NULL,
+  detection_time_window = 5,
+  mobility,
+  calc_depth_error = function(...) matrix(c(-2.5, 2.5), nrow = 2),
+  normalise = TRUE,
+  save_record_spatial = 1L,
+  write_record_spatial_for_pf = NULL,
+  verbose = TRUE,
+  con = "",
+  progress = 1L,
+  split = NULL,
+  cl = NULL,
+  varlist = NULL
+)
    +
    + +
    +

    Arguments

    +
    acoustics
    +

    A dataframe, or a list of dataframes, that contains passive acoustic telemetry detection time series (see dat_acoustics for an example) for a single individual. Each dataframe should contain the following columns: an integer vector of receiver IDs, named `receiver_id'; an integer vector of detection indices, named `index'; and a POSIXct vector of time stamps when detections were made, named `timestamp'. If a list of dataframes is supplied, dataframes must be refer to the detections of a single individual and be ordered by time (e.g., in hourly chunks). In addition, sequential list elements must be linked by identical receiver pairs (i.e., the final receiver at which the individual was detected for any given chunk must be the same as the receiver at which the individual was next detected at the start of the next chunk) because it is only in this specific scenario that information does not need to be shared across time steps (see split). The algorithm will be implemented on each dataframe, termed `chunk', either in sequence or parallel. Any empty or NULL elements will be removed automatically.

    + + +
    archival
    +

    For the ACDC algorithm, archival is a dataframe that contains depth time series (see .acs).

    + + +
    step
    +

    A number that defines the time step length (s) between consecutive detections (see .acs).

    -

    Edward Lavender

    -

    Examples

    - 
    # For examples, see ?ac and ?acdc which call this function directly.
+
    plot_ts
    
+
    A logical input that defines whether or not to plot movement time series (see .acs).
    
 
-
    + +
    bathy
    +

    A raster that defines the area (for the AC algorithm) or bathymetry (for the ACDC algorithm) across the area within which the individual could have moved (see .acs).

    + + +
    detection_containers
    +

    A list of detection containers (see .acs).

    + + +
    detection_kernels
    +

    A named list of detection probability kernels (see .acs).

    + + +
    detection_kernels_overlap
    +

    A named list of detection probability kernel overlaps, directly from get_detection_containers_overlap. This must contain an element named `list_by_receiver' with the data for each receiver.

    + + +
    detection_time_window
    +

    A number that defines the detection time window (see .acs)

    + + +
    mobility
    +

    The mobility parameter (see .acs).

    + + +
    calc_depth_error
    +

    The depth error function (see .acs).

    + + +
    normalise
    +

    A logical input that defines whether or not to normalise maps (see .acs).

    + + +
    save_record_spatial
    +

    An integer of the spatial layers to save (see .acs).

    + + +
    write_record_spatial_for_pf
    +

    A named list used to write time step-specific maps to file (see .acs).

    + + +
    verbose
    +

    A logical variable that defines whether or not to print messages to the console or to file to relay function progress. If con = "", messages are printed to the console (which is only supported if the algorithm is not implemented in parallel: see below); otherwise, they are written to file (see below).

    + + +
    con
    +

    If verbose = TRUE, con is character string defines how messages relaying function progress are returned. If con = "", messages are printed to the console (unless redirected by sink), an approach that is only implemented if the function is not implemented in parallel. Otherwise, con defines the directory into which to write .txt files, into which messages are written to relay function progress. This approach, rather than printing to the console, is recommended for clarity, speed and debugging. If the algorithm is implemented step-wise, then a single file is written to the specified directory named acdc_log.txt. If the algorithm is implemented chunk-wise, then an additional file is written for each chunk (named dot_acdc_log_1.txt, dot_acdc_log_2.txt and so on), with the details for each chunk.

    + + +
    progress
    +

    (optional) If the algorithm is implemented step-wise, progress is an integer (1, 2 or 3) that defines whether or not to display a progress bar in the console as the algorithm moves over acoustic time steps (1), the `archival' time steps between each pair of acoustic detections (2) or both acoustic and archival time steps (3), in which case the overall acoustic progress bar is punctuated by an archival progress bar for each pair of acoustic detections. This option is useful if there is a large number of archival observations between acoustic detections. Any other input will suppress the progress bar. If the algorithm is implemented for chunks, inputs to progress are ignored and a single progress bar is shown of the progress across acoustic chunks.

    + + +
    split
    +

    A character string that defines the (approximate) time unit used to split acoustic time series into chunks (e.g., "12 hours"). If provided, this must be supported by cut.POSIXt (otherwise, a pre-defined list of acoustic time series can be passed to acoustics, e.g., specifying seasonal chunks). If split = NULL and a cluster has been specified (see cl) (and acoustics is a dataframe), then the acoustic time series is automatically split into chunks and the algorithm implemented for each chunk in parallel. In all cases, splitting is subject to the constraint that chunks must join at identical receiver pairs (i.e., the last receiver at which the individual was detected on one chunk must match the first receiver at which the individual was next detected at the start of the next chunk): in these specific scenarios, information does not need to transfer from one time step to the next.

    + + +
    cl, varlist
    +

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes to implement the algorithm in parallel. If supplied, the algorithm is implemented for each chunk in a list of acoustic time series, either (a) as supplied by the user (if acoustics is a list), (b) as defined by the input to split, or (c) as defined automatically from the number of nodes in the cluster if split = NULL. If cl is supplied, varlist may also be required. This is a character vector of objects to export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    + +
    +
    +

    Value

    + + +

    The function returns an acdc_archive-class object. If a connection to write files has also been specified, an overall log (acdc_log.txt) as well as chunk-specific logs from calls to .acs, if applicable, are written to file.

    +
    +
    +

    See also

    +

    The front-end functions ac and acdc call this function, which in turn calls .acs. acs_setup_containers defines the detection containers required by this function. acs_setup_mobility is used to examine the assumption of the constant `mobility' parameter. acs_setup_detection_kernels produces detection probability kernels for incorporation into the function. For calls via ac and acdc, acdc_simplify simplifies the outputs and acdc_plot_trace, acdc_plot_record and acdc_animate_record visualise the results.

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    + +
    +

    Examples

    + 
    # For examples, see ?ac and ?acdc which call this function directly.
+
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/dot-planedist2.html b/docs/reference/dot-planedist2.html index c92b4c9..58357ed 100644 --- a/docs/reference/dot-planedist2.html +++ b/docs/reference/dot-planedist2.html @@ -1,67 +1,12 @@ - - - - - - - -Calculate a matrix of Euclidean distances between points — .planedist2 • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate a matrix of Euclidean distances between points — .planedist2 • flapper + + - - - - -
    -
    - -
    - -
    +

    Calculate a matrix of Euclidean distances between points

    - Source: R/dists.R + Source: R/dists.R
    @@ -123,53 +65,50 @@

    Calculate a matrix of Euclidean distances between points

    Calculate a matrix of Euclidean distances between points

    - 
    .planedist2(p1, p2)
    +
    + 
    .planedist2(p1, p2)
    +
    -

    Arguments

    - - - - - - - - - - -
    p1

    A coordinate matrix.

    p2

    A coordinate matrix.

    +
    +

    Source

    +

    This function is an internal function in the raster package (https://rdrr.io/rforge/raster/src/R/pointdistance.R). It is defined separately in flapper for stability.

    +
    +
    +

    Arguments

    +
    p1
    +

    A coordinate matrix.

    -

    Source

    -

    This function is an internal function in the raster package (https://rdrr.io/rforge/raster/src/R/pointdistance.R). It is defined separately in flapper for stability.

    -

    Details

    +
    p2
    +

    A coordinate matrix.

    +
    +
    +

    Details

    This function assumes that coordinates are in planar space.

    +
    +
    - - - + + diff --git a/docs/reference/eval_by_kud-1.png b/docs/reference/eval_by_kud-1.png index 9d68deb..2c89cb8 100644 Binary files a/docs/reference/eval_by_kud-1.png and b/docs/reference/eval_by_kud-1.png differ diff --git a/docs/reference/eval_by_kud-2.png b/docs/reference/eval_by_kud-2.png index 395ad05..c3ec9e3 100644 Binary files a/docs/reference/eval_by_kud-2.png and b/docs/reference/eval_by_kud-2.png differ diff --git a/docs/reference/eval_by_kud-3.png b/docs/reference/eval_by_kud-3.png index 8555fa6..8874fbe 100644 Binary files a/docs/reference/eval_by_kud-3.png and b/docs/reference/eval_by_kud-3.png differ diff --git a/docs/reference/eval_by_kud-4.png b/docs/reference/eval_by_kud-4.png index 61421fc..4f4ce5e 100644 Binary files a/docs/reference/eval_by_kud-4.png and b/docs/reference/eval_by_kud-4.png differ diff --git a/docs/reference/eval_by_kud-5.png b/docs/reference/eval_by_kud-5.png index f490608..d3966f8 100644 Binary files a/docs/reference/eval_by_kud-5.png and b/docs/reference/eval_by_kud-5.png differ diff --git a/docs/reference/eval_by_kud-6.png b/docs/reference/eval_by_kud-6.png index e4cbb89..cac3ea1 100644 Binary files a/docs/reference/eval_by_kud-6.png and b/docs/reference/eval_by_kud-6.png differ diff --git a/docs/reference/eval_by_kud-7.png b/docs/reference/eval_by_kud-7.png index ef48f95..0d4a04d 100644 Binary files a/docs/reference/eval_by_kud-7.png and b/docs/reference/eval_by_kud-7.png differ diff --git a/docs/reference/eval_by_kud.html b/docs/reference/eval_by_kud.html index 64dba33..82a733c 100644 --- a/docs/reference/eval_by_kud.html +++ b/docs/reference/eval_by_kud.html @@ -1,67 +1,12 @@ - - - - - - - -Evaluate movement path estimates using kernel utilisation distributions — eval_by_kud • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Evaluate movement path estimates using kernel utilisation distributions — eval_by_kud • flapper + + - - - - -
    -
    - -
    - -
    +

    Evaluate movement path estimates using kernel utilisation distributions

    - Source: R/evals.R + Source: R/evals.R
    @@ -123,289 +65,284 @@

    Evaluate movement path estimates using kernel utilisation distributions

    This function provides a qualitative evaluation of a movement-path estimation procedure when the true movement path is known by graphically comparing the two paths and the resultant patterns of space use that emerge from these using kernel utilisation distributions. To implement the function, the simulated and estimated paths need to be provided as SpatialPointsDataFrames. For each path, the function estimates the resultant home range under a kernel utilisation distribution model and then produces up to four plots that show the two paths and the two estimated home ranges. When the estimation procedure performs well, the patterns of space use inferred from the simulated and estimated paths should be similar. In contrast, differences between these patterns can help to reveal the circumstances under which the movement-path estimation procedure performs less well.

    - 
    eval_by_kud(
-  path_sim,
-  path_est,
-  estimate_ud = adehabitatHR::kernelUD,
-  grid,
-  h = "href",
-  hlim = c(0.1, 1.5),
-  kern = c("bivnorm", "epa"),
-  extent = 1,
-  boundary = NULL,
-  process = NULL,
-  plot = 1:4L,
-  array,
-  add_receivers = list(),
-  add_land = NULL,
-  add_sea = NULL,
-  add_path_sim = list(col = viridis::viridis(nrow(path_sim)), length = 0.02),
-  add_path_est = add_path_sim,
-  add_vol_sim = list(),
-  add_vol_est = list(),
-  one_page = TRUE,
-  verbose = TRUE,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    path_sim, path_est

    SpatialPointsDataFrame objects that the coordinates of a simulated movement path and estimated movement path respectively. These should contain a column that defines the individual's ID as a factor. The coordinate reference system is taken from path_sim and should be defined, if applicable.

    estimate_ud

    A function (either kernelUD or kud_around_coastline) that estimates kernel utilisation distributions. The latter option is used when kernels need to be processed to account for barriers to movement that cannot be modelled via kernelUD.

    grid, h, hlim, kern, extent, boundary

    Arguments passed to estimate_ud (and ultimately kernelUD, where they are defined) to estimate kernel utilisation distributions. If kud_around_coastline is supplied to estimate_ud, then grid must be a SpatialPixelsDataFrame.

    process

    (optional) A function, applied to a raster, to process the home range raster (extracted from from getvolumeUD). For example, function(r) { r[r > 95] <- NA; return(r) } can help to produce prettier plots by masking areas beyond the 95 percent contour.

    plot

    An integer vector (1:4L) that defines which plots to produce. 1 and 2 plot the receiver array and the simulated or estimated path respectively. In contrast, 3 and 4 plot the receiver array and the kernel utilisation distribution based on the simulated or estimated path respectively.

    array

    A named list that defines the properties of an array (e.g., the `array' element of sim_array). At a minimum, this must contain an `area' element that defines the area as a SpatialPolygons-class object. To add receivers, land and sea to the plot(s), `xy', `land' and `sea' elements are also required (see sim_array).

    add_land, add_sea, add_receivers, add_path_sim, add_path_est, add_vol_sim, add_vol_est

    (optional) Named lists of arguments that customise the appearance of the land and sea, receivers, the simulated and estimated paths and the kernel volumes for the simulated and estimated paths respectively. An empty list (list()) will implement default graphical options. If add_receivers, add_land and add_sea are specified, then array must contain `xy', `land' and `sea' elements as described above. Alternatively, add_receivers, add_land and add_sea can be NULL to suppress their addition to plots, but the other arguments cannot be NULL.

    one_page

    A logical variable that defines whether or not to produce all plots on a single page.

    verbose

    A logical variable that defines whether or not to print messages to the console to relay function progress.

    ...

    Additional arguments, passed to pretty_map, that affect all plots.

    - -

    Value

    - -

    The function returns up to four plots that provide a qualitative evaluation of an estimation procedure that infers patterns of space use from observations.

    -

    Details

    - -

    This function can be combined with sim_array, sim_path_* functions, sim_detections and space use algorithms (e.g., coa) to evaluate the relative performance of different approaches for the inference of patterns of space use under different array designs, movement models and/or detection models.

    -

    Author

    +
    + 
    eval_by_kud(
+  path_sim,
+  path_est,
+  estimate_ud = adehabitatHR::kernelUD,
+  grid,
+  h = "href",
+  hlim = c(0.1, 1.5),
+  kern = c("bivnorm", "epa"),
+  extent = 1,
+  boundary = NULL,
+  process = NULL,
+  plot = 1:4L,
+  array,
+  add_receivers = list(),
+  add_land = NULL,
+  add_sea = NULL,
+  add_path_sim = list(col = viridis::viridis(nrow(path_sim)), length = 0.02),
+  add_path_est = add_path_sim,
+  add_vol_sim = list(),
+  add_vol_est = list(),
+  one_page = TRUE,
+  verbose = TRUE,
+  ...
+)
    +
    + +
    +

    Arguments

    +
    path_sim, path_est
    +

    SpatialPointsDataFrame objects that the coordinates of a simulated movement path and estimated movement path respectively. These should contain a column that defines the individual's ID as a factor. The coordinate reference system is taken from path_sim and should be defined, if applicable.

    + + +
    estimate_ud
    +

    A function (either kernelUD or kud_around_coastline) that estimates kernel utilisation distributions. The latter option is used when kernels need to be processed to account for barriers to movement that cannot be modelled via kernelUD.

    + + +
    grid, h, hlim, kern, extent, boundary
    +

    Arguments passed to estimate_ud (and ultimately kernelUD, where they are defined) to estimate kernel utilisation distributions. If kud_around_coastline is supplied to estimate_ud, then grid must be a SpatialPixelsDataFrame.

    + + +
    process
    +

    (optional) A function, applied to a raster, to process the home range raster (extracted from from getvolumeUD). For example, function(r) { r[r > 95] <- NA; return(r) } can help to produce prettier plots by masking areas beyond the 95 percent contour.

    + + +
    plot
    +

    An integer vector (1:4L) that defines which plots to produce. 1 and 2 plot the receiver array and the simulated or estimated path respectively. In contrast, 3 and 4 plot the receiver array and the kernel utilisation distribution based on the simulated or estimated path respectively.

    + + +
    array
    +

    A named list that defines the properties of an array (e.g., the `array' element of sim_array). At a minimum, this must contain an `area' element that defines the area as a SpatialPolygons-class object. To add receivers, land and sea to the plot(s), `xy', `land' and `sea' elements are also required (see sim_array).

    + +
    add_land, add_sea, add_receivers, add_path_sim, add_path_est, add_vol_sim, add_vol_est
    +

    (optional) Named lists of arguments that customise the appearance of the land and sea, receivers, the simulated and estimated paths and the kernel volumes for the simulated and estimated paths respectively. An empty list (list()) will implement default graphical options. If add_receivers, add_land and add_sea are specified, then array must contain `xy', `land' and `sea' elements as described above. Alternatively, add_receivers, add_land and add_sea can be NULL to suppress their addition to plots, but the other arguments cannot be NULL.

    + + +
    one_page
    +

    A logical variable that defines whether or not to produce all plots on a single page.

    + + +
    verbose
    +

    A logical variable that defines whether or not to print messages to the console to relay function progress.

    + + +
    ...
    +

    Additional arguments, passed to pretty_map, that affect all plots.

    + +
    +
    +

    Value

    + + +

    The function returns up to four plots that provide a qualitative evaluation of an estimation procedure that infers patterns of space use from observations.

    +
    +
    +

    Details

    +

    This function can be combined with sim_array, sim_path_* functions, sim_detections and space use algorithms (e.g., coa) to evaluate the relative performance of different approaches for the inference of patterns of space use under different array designs, movement models and/or detection models.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Steps
-# We need to simulate an array, a movement path through this array
-# ... and detections arising at receivers given this path. Then, we need to
-# ... implement a space use algorithm (e.g., coa()) to estimate the movement
-# ... 'path' from the observed data (detections). With the simulated and
-# ... estimated movement path, we can then compare how well the estimated
-# ... path recovers the 'true' pattern of space use by passing these
-# ... paths to the eval_by_kud() function.
-
-#### Step (1) Simulate an array in an area
-# We will pack the area with receivers to generate lots of detections
-array_ls <- sim_array(boundaries = raster::extent(dat_coast),
-                      coastline = dat_coast,
-                      n_receivers = 1000,
-                      arrangement = "regular",
-                      seed = 1)
-
    #> flapper::sim_array() called (@ 2022-06-17 10:01:56)... 
-#> ... Defining area... 
-#> ... Incorporating coastline... 
-#> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:01:56) after ~0 minutes. 
    raster::lines(dat_coast)
-
    array <- array_ls$array
-
-#### Step (2) Simulate a movement path in this area
-n <- 500
-path_ls <- sim_path_sa(n = n,
-                       sim_step = function(...) stats::rgamma(1, shape = 25, scale = 25),
-                       area = array$sea,
-                       seed = 1,
-                       plot = FALSE
-                       )
-
    #> flapper::sim_path_sa() called (@ 2022-06-17 10:01:56)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> 
  |                                                                            
  |                                                                      |   0%
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> 
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  |======================================================================| 100%... flapper::sim_path_sa() call completed (@ 2022-06-17 10:01:58) after ~0.03 minutes. 
    prettyGraphics::add_sp_path(path_ls$xy_mat, col = viridis::viridis(n), length = 0.02)
-
    
-#### Step (3) Simulate and aggregate detections over some delta_t interval
-# E.g., we can imagine simulating a movement path at 60 s resolution
-# ... and determining whether or not the individual is detected in that interval
-# ... and then aggregating detections over some interval e.g., X mins
-# ... (In reality, we would need to consider this choice carefully).
-det_ls <- sim_detections(path = path_ls$xy_mat,
-                         xy = sp::coordinates(array$xy),
-                         calc_detection_pr = function(dist) ifelse(dist < 700, 1, 0),
-                         delta_t = 10)
-
    #> flapper::sim_detections() called (@ 2022-06-17 10:01:58)... 
-#> ... Setting up simulation... 
-#> ... Calculating distances... 
-#> ... Calculating probabilities... 
-#> ... Simulating detections... 
-#> ... Plotting detections... 
    #> ... summarising detections over delta t... 
-#> ... flapper::simulate_detections() call completed (@ 2022-06-17 10:01:59) after ~0.02 minutes. 
    
-str(det_ls)
-
    #> List of 2
-#>  $ agg:List of 3
-#>   ..$ dist_mat: num [1:50, 1:982] 178129 167630 177311 188499 167696 ...
-#>   ..$ prob_mat: num [1:50, 1:982] 0 0 0 0 0 0 0 0 0 0 ...
-#>   ..$ det_mat : num [1:50, 1:982] 0 0 0 0 0 0 0 0 0 0 ...
-#>  $ raw:List of 3
-#>   ..$ dist_mat_raw: num [1:500, 1:982] 19503 18990 18532 17806 17312 ...
-#>   ..$ prob_mat_raw: num [1:500, 1:982] 0 0 0 0 0 0 0 0 0 0 ...
-#>   ..$ det_mat_raw : int [1:500, 1:982] 0 0 0 0 0 0 0 0 0 0 ...
    
-#### Step (4) Implement estimation proceedure e.g., calculate COAs
-coas <- coa(mat = det_ls$agg$det_mat, xy = sp::coordinates(array$xy))
-
-#### Step (5) Define simulated and estimated paths as SpatialPointsDataFrames
-path_true <- path_ls$xy_mat
-path_true <-
-  sp::SpatialPointsDataFrame(path_true,
-                             data = data.frame(ID = factor(rep(1, nrow(path_true)))),
-                             proj4string = raster::crs(dat_coast))
-path_coa <- coas
-path_coa <-
-  sp::SpatialPointsDataFrame(path_coa,
-                             data = data.frame(ID = factor(rep(1, nrow(path_coa)))),
-                             proj4string = raster::crs(dat_coast))
-
-#### Example (1): Implement algorithm using default options
-eval_by_kud(path_sim = path_true,
-            path_est = path_coa,
-            grid = 60,
-            array = array)
-
    #> Registered S3 methods overwritten by 'adehabitatMA':
-#>   method                       from
-#>   print.SpatialPixelsDataFrame sp  
-#>   print.SpatialPixels          sp  
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    
-#### Example (2): Account for coastline via kud_around_coastline()
-# Define grid of habitat/non habitat
-r <- raster::raster(raster::extent(dat_coast), nrows = 100, ncols = 100)
-raster::values(r) <- 0
-r <- raster::mask(r, dat_coast, updatevalue = 1)
-habitat <- methods::as(r, "SpatialPixelsDataFrame")
-# Implement algorithm
-eval_by_kud(path_sim = path_true,
-            path_est = path_coa,
-            estimate_ud = kud_around_coastline,
-            grid = habitat,
-            array = array)
-
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    
-#### Example (3): Plot customisation options
-# Use add_* lists to customise main plotting features
-# ... such as receivers and land (but also the movement paths etc.)
-eval_by_kud(path_sim = path_true,
-            path_est = path_coa,
-            estimate_ud = kud_around_coastline,
-            grid = habitat,
-            array = array,
-            add_receivers = list(pch = "."),
-            add_land = list(col = "darkgreen"))
-
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    # Use 'process' to focus on contours of the home range of interest
-process <- function(r) { r[r > 95] <- NA; return(r) }
-eval_by_kud(path_sim = path_true,
-            path_est = path_coa,
-            estimate_ud = kud_around_coastline,
-            grid = habitat,
-            process = process,
-            array = array,
-            add_receivers = list(pch = "."),
-            add_land = list(col = "darkgreen"))
-
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    # Pass other arguments to via ... to pretty map
-eval_by_kud(path_sim = path_true,
-            path_est = path_coa,
-            estimate_ud = kud_around_coastline,
-            grid = habitat,
-            process = process,
-            array = array,
-            add_receivers = list(pch = "."),
-            add_land = list(col = "darkgreen"),
-            xlab = "x", ylab = "y")
-
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    
-#### Results
-# In this case, with a regularly spaced and dense array, the COA metric
-# ... provides good inferences regarding patterns of space use. However,
-# ... this will not always be the case.
-
-
    +
    +

    Examples

    + 
    #### Steps
+# We need to simulate an array, a movement path through this array
+# ... and detections arising at receivers given this path. Then, we need to
+# ... implement a space use algorithm (e.g., coa()) to estimate the movement
+# ... 'path' from the observed data (detections). With the simulated and
+# ... estimated movement path, we can then compare how well the estimated
+# ... path recovers the 'true' pattern of space use by passing these
+# ... paths to the eval_by_kud() function.
+
+#### Step (1) Simulate an array in an area
+# We will pack the area with receivers to generate lots of detections
+array_ls <- sim_array(boundaries = raster::extent(dat_coast),
+                      coastline = dat_coast,
+                      n_receivers = 1000,
+                      arrangement = "regular",
+                      seed = 1)
+#> flapper::sim_array() called (@ 2023-02-19 14:57:04)... 
+#> ... Defining area... 
+#> ... Incorporating coastline... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 14:57:04) after ~0 minutes. 
+raster::lines(dat_coast)
+array <- array_ls$array
+
+#### Step (2) Simulate a movement path in this area
+n <- 500
+path_ls <- sim_path_sa(n = n,
+                       sim_step = function(...) stats::rgamma(1, shape = 25, scale = 25),
+                       area = array$sea,
+                       seed = 1,
+                       plot = FALSE
+                       )
+#> flapper::sim_path_sa() called (@ 2023-02-19 14:57:04)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> 
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  |======================================================================| 100%... flapper::sim_path_sa() call completed (@ 2023-02-19 14:57:05) after ~0.02 minutes. 
+prettyGraphics::add_sp_path(path_ls$xy_mat, col = viridis::viridis(n), length = 0.02)
+
+
+#### Step (3) Simulate and aggregate detections over some delta_t interval
+# E.g., we can imagine simulating a movement path at 60 s resolution
+# ... and determining whether or not the individual is detected in that interval
+# ... and then aggregating detections over some interval e.g., X mins
+# ... (In reality, we would need to consider this choice carefully).
+det_ls <- sim_detections(path = path_ls$xy_mat,
+                         xy = sp::coordinates(array$xy),
+                         calc_detection_pr = function(dist) ifelse(dist < 700, 1, 0),
+                         delta_t = 10)
+#> flapper::sim_detections() called (@ 2023-02-19 14:57:05)... 
+#> ... Setting up simulation... 
+#> ... Calculating distances... 
+#> ... Calculating probabilities... 
+#> ... Simulating detections... 
+#> ... Plotting detections... 
+
+#> ... summarising detections over delta t... 
+#> ... flapper::simulate_detections() call completed (@ 2023-02-19 14:57:07) after ~0.03 minutes. 
+
+str(det_ls)
+#> List of 2
+#>  $ agg:List of 3
+#>   ..$ dist_mat: num [1:50, 1:982] 178129 167630 177311 188499 167696 ...
+#>   ..$ prob_mat: num [1:50, 1:982] 0 0 0 0 0 0 0 0 0 0 ...
+#>   ..$ det_mat : num [1:50, 1:982] 0 0 0 0 0 0 0 0 0 0 ...
+#>  $ raw:List of 3
+#>   ..$ dist_mat_raw: num [1:500, 1:982] 19503 18990 18532 17806 17312 ...
+#>   ..$ prob_mat_raw: num [1:500, 1:982] 0 0 0 0 0 0 0 0 0 0 ...
+#>   ..$ det_mat_raw : int [1:500, 1:982] 0 0 0 0 0 0 0 0 0 0 ...
+
+#### Step (4) Implement estimation proceedure e.g., calculate COAs
+coas <- coa(mat = det_ls$agg$det_mat, xy = sp::coordinates(array$xy))
+
+#### Step (5) Define simulated and estimated paths as SpatialPointsDataFrames
+path_true <- path_ls$xy_mat
+path_true <-
+  sp::SpatialPointsDataFrame(path_true,
+                             data = data.frame(ID = factor(rep(1, nrow(path_true)))),
+                             proj4string = raster::crs(dat_coast))
+path_coa <- coas
+path_coa <-
+  sp::SpatialPointsDataFrame(path_coa,
+                             data = data.frame(ID = factor(rep(1, nrow(path_coa)))),
+                             proj4string = raster::crs(dat_coast))
+
+#### Example (1): Implement algorithm using default options
+eval_by_kud(path_sim = path_true,
+            path_est = path_coa,
+            grid = 60,
+            array = array)
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+
+
+#### Example (2): Account for coastline via kud_around_coastline()
+# Define grid of habitat/non habitat
+r <- raster::raster(raster::extent(dat_coast), nrows = 100, ncols = 100)
+raster::values(r) <- 0
+r <- raster::mask(r, dat_coast, updatevalue = 1)
+habitat <- methods::as(r, "SpatialPixelsDataFrame")
+# Implement algorithm
+eval_by_kud(path_sim = path_true,
+            path_est = path_coa,
+            estimate_ud = kud_around_coastline,
+            grid = habitat,
+            array = array)
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+
+
+#### Example (3): Plot customisation options
+# Use add_* lists to customise main plotting features
+# ... such as receivers and land (but also the movement paths etc.)
+eval_by_kud(path_sim = path_true,
+            path_est = path_coa,
+            estimate_ud = kud_around_coastline,
+            grid = habitat,
+            array = array,
+            add_receivers = list(pch = "."),
+            add_land = list(col = "darkgreen"))
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+
+# Use 'process' to focus on contours of the home range of interest
+process <- function(r) { r[r > 95] <- NA; return(r) }
+eval_by_kud(path_sim = path_true,
+            path_est = path_coa,
+            estimate_ud = kud_around_coastline,
+            grid = habitat,
+            process = process,
+            array = array,
+            add_receivers = list(pch = "."),
+            add_land = list(col = "darkgreen"))
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+
+# Pass other arguments to via ... to pretty map
+eval_by_kud(path_sim = path_true,
+            path_est = path_coa,
+            estimate_ud = kud_around_coastline,
+            grid = habitat,
+            process = process,
+            array = array,
+            add_receivers = list(pch = "."),
+            add_land = list(col = "darkgreen"),
+            xlab = "x", ylab = "y")
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+
+
+#### Results
+# In this case, with a regularly spaced and dense array, the COA metric
+# ... provides good inferences regarding patterns of space use. However,
+# ... this will not always be the case.
+
+
    +
    +
    - - - + + diff --git a/docs/reference/flapper-tips-parallel.html b/docs/reference/flapper-tips-parallel.html index 87c857a..442245c 100644 --- a/docs/reference/flapper-tips-parallel.html +++ b/docs/reference/flapper-tips-parallel.html @@ -1,74 +1,19 @@ - - - - - - - -Parallelisation in flapper — flapper-tips-parallel • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Parallelisation in flapper — flapper-tips-parallel • flapper - - - - - - - - - - - + + - - -
    -
    - -
    - -
    +
    -

    Parallelisation in flapper

    - Source: R/flapper-tips.R +

    Parallelisation in flapper

    + Source: R/flapper-tips.R
    -

    Parallelisation in the base R installation (since v. 2.14.0) can be implemented via the parallel package. This is an amalgamation of two earlier packages (snow and multicore) that extends the apply family of functions with parallelisation. (Beyond the apply family, other packages further develop parallelisation, such as foreach, which integrates parallelisation into the familiar for loop.)

    -

    Of particular interest in flapper are the two parallelised versions of lapply provided by parallel: parLapply and mclapply. These functions implement parallelisation in two distinct ways.

    -

    parLapply implements parallelisation via socket clusters*, which essentially involves launching an additional R process on each core on which code is executed. This approach is initiated by the definition of a cluster object with makeCluster. Since each R process is unique, objects defined in the `main' workspace that are required by the parallelised code have to be exported to each core (see clusterEvalQ and clusterExport) before that code is executed. During code execution, each R process occupies memory. At the end of the code, the cluster needs to be closed (see stopCluster).

    -

    In contrast, mclapply implements parallelisation using fork clusters. Rather than launching an additional R process on each core, this approach clones the existing `parent' workspace on each core. Both `parent' and `child' processes refer to the same address in the system's memory. This simplifies implementation and reduces overhead costs: in mclapply, the number of cores (or `child processes') is simply specified and everything else is taken care of. On POSIX systems, such as MacOS, this approach can be faster than the socket approach and is typically preferable. However, error messages may be less informative (see Examples). Forking is not available on Windows.

    -

    In the flapper package, parallelisation is implemented using pblapply, which is a convenient wrapper for the parLapply and mclapply functions, via a cl argument. If cl is a cluster object, a character vector of objects required for export can also be supplied via varlist. If supplied, flapper functions will call clusterExport before pblapply. The latter is then called and parallelisation is implemented via parLapply. Following code execution, flapper functions close the cluster. In contrast, if cl is an integer, flapper functions pass this directly to pblapply and parallelisation is implemented via mclapply.

    -

    Despite potential benefits, the overhead costs associated with parallelisation can be substantial. To minimise overheads, some flapper functions can implement parallelisation over `chunks', within which serial iteration via lapply is implemented. For calls to pblapply, there is an additional overhead associated with the progress bar, which can be suppressed via pbapply::pboptions(type = "none"). Given overhead costs, in some situations, parallelisation may be undesirable. For computationally intensive functions in flapper that support parallelisation, such as ac, dc, acdc and pf_simplify, time trials of alternative approaches using subsets of the data are strongly recommenced.

    -

    In the future, parallelisation routines in flapper may be improved to reduce memory requirements and expanded beyond `perfectly parallel' problems (in which each iteration is entirely independent) to other situations.

    -

    *Forking can be implemented via makeCluster for parLapply but it is usually preferable to call mclapply directly (e.g., as in pblapply).

    +

    Parallelisation in the base R installation (since v. 2.14.0) can be implemented via the parallel package. This is an amalgamation of two earlier packages (snow and multicore) that extends the apply family of functions with parallelisation. (Beyond the apply family, other packages further develop parallelisation, such as foreach, which integrates parallelisation into the familiar for loop.)

    +

    Of particular interest in flapper are the two parallelised versions of lapply provided by parallel: parLapply and mclapply. These functions implement parallelisation in two distinct ways.

    +

    parLapply implements parallelisation via socket clusters*, which essentially involves launching an additional R process on each core on which code is executed. This approach is initiated by the definition of a cluster object with makeCluster. Since each R process is unique, objects defined in the `main' workspace that are required by the parallelised code have to be exported to each core (see clusterEvalQ and clusterExport) before that code is executed. During code execution, each R process occupies memory. At the end of the code, the cluster needs to be closed (see stopCluster).

    +

    In contrast, mclapply implements parallelisation using fork clusters. Rather than launching an additional R process on each core, this approach clones the existing `parent' workspace on each core. Both `parent' and `child' processes refer to the same address in the system's memory. This simplifies implementation and reduces overhead costs: in mclapply, the number of cores (or `child processes') is simply specified and everything else is taken care of. On POSIX systems, such as MacOS, this approach can be faster than the socket approach and is typically preferable. However, error messages may be less informative (see Examples). Forking is not available on Windows.

    +

    In the flapper package, parallelisation is implemented using pblapply, which is a convenient wrapper for the parLapply and mclapply functions, via a cl argument. If cl is a cluster object, a character vector of objects required for export can also be supplied via varlist. If supplied, flapper functions will call clusterExport before pblapply. The latter is then called and parallelisation is implemented via parLapply. Following code execution, flapper functions close the cluster. In contrast, if cl is an integer, flapper functions pass this directly to pblapply and parallelisation is implemented via mclapply.

    +

    Despite potential benefits, the overhead costs associated with parallelisation can be substantial. To minimise overheads, some flapper functions can implement parallelisation over `chunks', within which serial iteration via lapply is implemented. For calls to pblapply, there is an additional overhead associated with the progress bar, which can be suppressed via pbapply::pboptions(type = "none"). Given overhead costs, in some situations, parallelisation may be undesirable. For computationally intensive functions in flapper that support parallelisation, such as ac, dc, acdc and pf_simplify, time trials of alternative approaches using subsets of the data are strongly recommenced.

    +

    In the future, parallelisation routines in flapper may be improved to reduce memory requirements and expanded beyond `perfectly parallel' problems (in which each iteration is entirely independent) to other situations.

    +

    *Forking can be implemented via makeCluster for parLapply but it is usually preferable to call mclapply directly (e.g., as in pblapply).

    - -

    References

    - +
    +

    References

    Errickson, J. Parallel Processing in R. https://dept.stat.lsa.umich.edu/~jerrick/courses/stat701/notes/parallel.html. Accessed 29 November 2021.

    Hallquist, M. (2018). Parallel computing in R. https://psu-psychology.github.io/r-bootcamp-2018/talks/parallel_r.html. Accessed 29 November 2021.

    -

    Author

    - +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    if(flapper_run_slow){
-
-  #### Background
-  # In this example, we explore, for a small time series
-  # ... of particles created via pf(), the speed of alternative
-  # ... particle processing routines without/with parallelisation
-  # ... and with sockets versus forking.
-
-  #### Implement pf() for example data using a large number of particles
-  pf_args   <- dat_dcpf_histories$args
-  pf_args$n <- 200L
-  pf_args$calc_distance_euclid_fast <- TRUE
-  out_pf <- do.call(pf, pf_args)
-
-  #### Compare the speed of alternative parallelisation approaches
-  # ... for particle processing
-  if(requireNamespace("rbenchmark", quietly = TRUE)){
-    pb_op <- pbapply::pboptions(type = "none")
-    rbenchmark::benchmark(
-      baseline = pf_simplify(out_pf,
-                             cl = NULL,
-                             calc_distance = "lcp",
-                             verbose = FALSE),
-      fork = pf_simplify(out_pf,
-                         cl = 2L,
-                         calc_distance = "lcp",
-                         verbose = FALSE),
-      socket = pf_simplify(out_pf, calc_distance = "lcp",
-                           cl = parallel::makeCluster(2L),
-                           verbose = FALSE),
-      replications = 1L
-    )
-    pbapply::pboptions(pb_op)
-  }
-
-}
-
    #> flapper::pf() called (@ 2022-06-17 10:02:02)... 
-#> ... Setting up function... 
-#> ... Determining the set of possible starting locations (t = 1)... 
-#> ... Implementing algorithm iteratively over time steps... 
-#> ... ... Time = 1... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 2... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 3... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 4... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 5... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 6... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 7... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 8... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 9... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 10... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 11... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 12... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 13... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 14... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 15... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 16... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 17... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 18... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... flapper::pf() call completed (@ 2022-06-17 10:02:08) after ~0.11 minutes. 
    #> Warning: transition function gives negative values
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Warning: transition function gives negative values
    #> Warning: transition function gives negative values
    #> Warning: transition function gives negative values
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Warning: transition function gives negative values
    #> Warning: transition function gives negative values
    
-#### Note a difference in error handling between socket clusters and forking:
-if (FALSE) {
-# Implement pf() with a small number of particles
-pf_args   <- dat_dcpf_histories$args
-pf_args$n <- 10L
-pf_args$calc_distance_euclid_fast <- TRUE
-out_pf <- do.call(pf, pf_args)
-# With a socket cluster, we get an informative error message that there are no
-# ... particles that obey shortest-distance constraints
-# ... (which is because we have implemented pf() using Euclidean sampling
-# ... with only 10 particles).
-pf_simplify(out_pf,
-            calc_distance = "lcp",
-            cl = parallel::makeCluster(2L))
-# With forking, we get an apparently less helpful error message:
-pf_simplify(out_pf,
-            calc_distance = "lcp",
-            cl = 2L)
-# This results from a difference in error handling
-# ... between parLapply() and mclapply(), as shown here:
-out <- pbapply::pblapply(1:10, cl = parallel::makeCluster(2L), function(i){
-  if(i== 5L) stop("error") else return(i)
-})
-out <- pbapply::pblapply(1:10, cl = 2L, function(i){
-  if(i== 5L) stop("error") else return(i)
-})
-# In the example above, connected cells are being identified at each time step
-# ... based on previous cells. The function hits a point at which there are no
-# ... allowed cells, and returns an error, but mclapply() handles this with
-# ... tryCatch and attempts to continue the filtration process on the next time step.
-# ... The filter operation then fails because it expects a dataframe, not a character
-# ... (error message).
-}
-
-
    +
    +

    Examples

    + 
    if(flapper_run_slow){
+
+  #### Background
+  # In this example, we explore, for a small time series
+  # ... of particles created via pf(), the speed of alternative
+  # ... particle processing routines without/with parallelisation
+  # ... and with sockets versus forking.
+
+  #### Implement pf() for example data using a large number of particles
+  pf_args   <- dat_dcpf_histories$args
+  pf_args$n <- 200L
+  pf_args$calc_distance_euclid_fast <- TRUE
+  out_pf <- do.call(pf, pf_args)
+
+  #### Compare the speed of alternative parallelisation approaches
+  # ... for particle processing
+  if(requireNamespace("rbenchmark", quietly = TRUE)){
+    pb_op <- pbapply::pboptions(type = "none")
+    rbenchmark::benchmark(
+      baseline = pf_simplify(out_pf,
+                             cl = NULL,
+                             calc_distance = "lcp",
+                             verbose = FALSE),
+      fork = pf_simplify(out_pf,
+                         cl = 2L,
+                         calc_distance = "lcp",
+                         verbose = FALSE),
+      socket = pf_simplify(out_pf, calc_distance = "lcp",
+                           cl = parallel::makeCluster(2L),
+                           verbose = FALSE),
+      replications = 1L
+    )
+    pbapply::pboptions(pb_op)
+  }
+
+}
+#> flapper::pf() called (@ 2023-02-19 14:57:11)... 
+#> ... Setting up function... 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Implementing algorithm iteratively over time steps... 
+#> ... ... Time = 1... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 2... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 3... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 4... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 5... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 6... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 7... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 8... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 9... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 10... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 11... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 12... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 13... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 14... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 15... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 16... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 17... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 18... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... flapper::pf() call completed (@ 2023-02-19 14:57:16) after ~0.07 minutes. 
+#> Warning: transition function gives negative values
+#> Warning: transition function gives negative values
+#> Warning: transition function gives negative values
+#> Warning: transition function gives negative values
+#> Warning: transition function gives negative values
+#> Warning: transition function gives negative values
+
+#### Note a difference in error handling between socket clusters and forking:
+if (FALSE) {
+# Implement pf() with a small number of particles
+pf_args   <- dat_dcpf_histories$args
+pf_args$n <- 10L
+pf_args$calc_distance_euclid_fast <- TRUE
+out_pf <- do.call(pf, pf_args)
+# With a socket cluster, we get an informative error message that there are no
+# ... particles that obey shortest-distance constraints
+# ... (which is because we have implemented pf() using Euclidean sampling
+# ... with only 10 particles).
+pf_simplify(out_pf,
+            calc_distance = "lcp",
+            cl = parallel::makeCluster(2L))
+# With forking, we get an apparently less helpful error message:
+pf_simplify(out_pf,
+            calc_distance = "lcp",
+            cl = 2L)
+# This results from a difference in error handling
+# ... between parLapply() and mclapply(), as shown here:
+out <- pbapply::pblapply(1:10, cl = parallel::makeCluster(2L), function(i){
+  if(i== 5L) stop("error") else return(i)
+})
+out <- pbapply::pblapply(1:10, cl = 2L, function(i){
+  if(i== 5L) stop("error") else return(i)
+})
+# In the example above, connected cells are being identified at each time step
+# ... based on previous cells. The function hits a point at which there are no
+# ... allowed cells, and returns an error, but mclapply() handles this with
+# ... tryCatch and attempts to continue the filtration process on the next time step.
+# ... The filter operation then fails because it expects a dataframe, not a character
+# ... (error message).
+}
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/flapper.html b/docs/reference/flapper.html index 4bb151d..9fcba4a 100644 --- a/docs/reference/flapper.html +++ b/docs/reference/flapper.html @@ -1,67 +1,12 @@ - - - - - - - -flapper: Routines for the analysis of passive acoustic telemetry data — flapper • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -flapper: Routines for the analysis of passive acoustic telemetry data — flapper • flapper - - - - + + -
    -
    - -
    - -
    +

    flapper: Routines for the analysis of passive acoustic telemetry data

    - Source: R/flapper-package.R + Source: R/flapper-package.R
    @@ -124,227 +66,188 @@

    flapper: Routines for the analysis of passive acoustic telemetr

    - -

    Data processing

    - +
    +

    Data processing

    -

    Some functions facilitate the acquisition, assembly, processing and checking of passive acoustic telemetry time series:

      -

    • Data acquisition

        -

      • query_open_topo queries the Topo Data Application Programming Interface for elevation/bathymetry data;

        • +

        Some functions facilitate the acquisition, assembly, processing and checking of passive acoustic telemetry time series:

        • Data acquisition

          • query_open_topo queries the Topo Data Application Programming Interface for elevation/bathymetry data;

          • -

        • Data assembly

            -

          • assemble_sentinel_counts assembles counts of transmissions/detections from sentinel tags for modelling purposes (i.e., to model detection probability);

            • -

          • make_matrix_ids matricises individual deployment time series;

            • -

          • make_matrix_receivers matricises receiver deployment time series;

            • -

          • make_matrix_detections matricises detection time series;

            • -

          • make_df_detections reverses this process;

            • +

          • Data assembly

            • -

          • Data processing

              -

            • process_receiver_id adds unique receiver IDs to a dataframe (e.g., if the same receiver has been deployed more than once);

              • -

            • process_false_detections_sf passes putative false detections through a spatial filter which incorporates ancillary information on receiver locations and animal swimming speeds to interrogate their plausibility;

              • -

            • process_quality_check passes acoustic data through some basic quality checks prior to analysis;

              • -

            • process_surface determines an 'optimum' raster aggregation method and error induced by this process;

              • +

            • Data processing

              • process_receiver_id adds unique receiver IDs to a dataframe (e.g., if the same receiver has been deployed more than once);

                • +

              • process_false_detections_sf passes putative false detections through a spatial filter which incorporates ancillary information on receiver locations and animal swimming speeds to interrogate their plausibility;

                • +

              • process_quality_check passes acoustic data through some basic quality checks prior to analysis;

                • +

              • process_surface determines an 'optimum' raster aggregation method and error induced by this process;

              • -
            - -

            Spatial tools

            - +
    +
    +

    Spatial tools

    -

    Some functions facilitate spatial operations that support common tasks and modelling algorithms:

      -

    • buffer_and_crop buffers a spatial object (e.g., receiver locations) and uses this buffered object to crop another (e.g., the local bathymetry);

      • -

    • get_intersection intersects spatial geometries;

      • -

    • xy_from_click gets location coordinates from mouse clicks;

      • -

    • crop_from_click crops a raster to an area defined by mouse clicks;

      • -

    • cells_from_val returns the cells (or a raster of the cells) of a raster that are equal to a specified value or lie within a specified range of values;

      • -

    • invert_poly inverts a polygon (e.g, to define the `sea' from a polygon of the `land');

      • -

    • mask_io masks values in a raster that lie inside or outside of a spatial mask (e.g., to mask the `land' from the `sea');

      • -

    • sim_surface populates a raster with simulated values;

      • -

    • split_raster_equally splits a raster into equal pieces (using code from the greenbrown (http://greenbrown.r-forge.r-project.org) package);

      • -

    • update_extent shrinks or inflates an extent object;

      • -

    • segments_cross_barrier determines if Euclidean transects cross a barrier;

      • -
    - -

    Distance calculations

    - +

    Some functions facilitate spatial operations that support common tasks and modelling algorithms:

    • buffer_and_crop buffers a spatial object (e.g., receiver locations) and uses this buffered object to crop another (e.g., the local bathymetry);

      • +

    • get_intersection intersects spatial geometries;

      • +

    • xy_from_click gets location coordinates from mouse clicks;

      • +

    • crop_from_click crops a raster to an area defined by mouse clicks;

      • +

    • cells_from_val returns the cells (or a raster of the cells) of a raster that are equal to a specified value or lie within a specified range of values;

      • +

    • invert_poly inverts a polygon (e.g, to define the `sea' from a polygon of the `land');

      • +

    • mask_io masks values in a raster that lie inside or outside of a spatial mask (e.g., to mask the `land' from the `sea');

      • +

    • sim_surface populates a raster with simulated values;

      • +

    • split_raster_equally splits a raster into equal pieces (using code from the greenbrown (http://greenbrown.r-forge.r-project.org) package);

      • +

    • update_extent shrinks or inflates an extent object;

      • +

    • segments_cross_barrier determines if Euclidean transects cross a barrier;

      • +
    +
    +

    Distance calculations

    -

    Some functions facilitate distance calculations, including the calculation of distances between receivers, along 3-dimensional movement paths, and of the shortest paths over a surface.

      -

    • Euclidean distances

        -

      • dist_btw_clicks calculates distances and draws segments between sequential mouse clicks on a map;

        • -

      • dist_btw_receivers calculates the Euclidean distances between all combinations of receivers;

        • -

      • dist_btw_points_3d calculates the Euclidean distances between points in three-dimensional space;

        • -

      • dist_over_surface calculates the Euclidean distance along a path over a three-dimensional surface;

        • -
      • -

    • Shortest (least-cost) distances

        -

      • lcp_costs calculates the distances between connected cells in a raster, accounting for planar (x, y, diagonal) and vertical (z) distances;

        • -

      • lcp_graph_surface constructs connected graphs for least-cost paths analysis;

        • -

      • lcp_from_point calculates least-cost distances from a point on a raster to all of the other cells of a raster;

        • -

      • lcp_over_surface calculates the shortest path(s) and/or the distances of the shortest path(s) over a surface between origin and destination coordinates;

        • -

      • lcp_interp interpolates paths between sequential locations using least-cost paths analysis;

        • -

      • lcp_comp compares Euclidean and shortest distance metrics for an area;

        • -
      • -
    - -

    Detection statistics

    - +

    Some functions facilitate distance calculations, including the calculation of distances between receivers, along 3-dimensional movement paths, and of the shortest paths over a surface.

    • Euclidean distances

      • dist_btw_clicks calculates distances and draws segments between sequential mouse clicks on a map;

        • +

      • dist_btw_receivers calculates the Euclidean distances between all combinations of receivers;

        • +

      • dist_btw_points_3d calculates the Euclidean distances between points in three-dimensional space;

        • +

      • dist_over_surface calculates the Euclidean distance along a path over a three-dimensional surface;

        • +
      • +

    • Shortest (least-cost) distances

      • lcp_costs calculates the distances between connected cells in a raster, accounting for planar (x, y, diagonal) and vertical (z) distances;

        • +

      • lcp_graph_surface constructs connected graphs for least-cost paths analysis;

        • +

      • lcp_from_point calculates least-cost distances from a point on a raster to all of the other cells of a raster;

        • +

      • lcp_over_surface calculates the shortest path(s) and/or the distances of the shortest path(s) over a surface between origin and destination coordinates;

        • +

      • lcp_interp interpolates paths between sequential locations using least-cost paths analysis;

        • +

      • lcp_comp compares Euclidean and shortest distance metrics for an area;

        • +
      • +
    +
    +

    Detection statistics

    -

    Some functions facilitate the calculation of detection statistics, including those related to sampling effort and to detections of individuals:

    - -

    Movement metrics

    - +

    Some functions facilitate the calculation of detection statistics, including those related to sampling effort and to detections of individuals:

    +
    +

    Movement metrics

    -

    Building on the analysis of detection time series, some functions provide movement metrics:

    +
    +

    Modelling algorithms

    -

    The main thrust of flapper is the implementation of existing and new algorithms designed to reconstruct fine-scale movement paths and emergent patterns of space use in passive acoustic telemetry systems:

    - -

    Simulations

    - +

    The main thrust of flapper is the implementation of existing and new algorithms designed to reconstruct fine-scale movement paths and emergent patterns of space use in passive acoustic telemetry systems:

    +
    +

    Simulations

    -

    A set of sim_*() functions provide an integrated workflow for the simulation of receiver arrays, movement paths and detections under different array designs, movement models and detection models:

      -

    • sim_array simulates alternative array designs;

      • -

    • sim_path_* functions simulate discrete-time movement paths, including:

        -

      • sim_path_sa, supported by sim_steps and sim_angles, simulates movement paths (possibly in restricted areas) from step lengths and turning angles;

        • -

      • sim_path_ou_1 simulates movement paths under Ornstein-Uhlenbeck processes;

        • +

        A set of sim_*() functions provide an integrated workflow for the simulation of receiver arrays, movement paths and detections under different array designs, movement models and detection models:

        • sim_array simulates alternative array designs;

          • +

        • sim_path_* functions simulate discrete-time movement paths, including:

          • sim_path_sa, supported by sim_steps and sim_angles, simulates movement paths (possibly in restricted areas) from step lengths and turning angles;

            • +

          • sim_path_ou_1 simulates movement paths under Ornstein-Uhlenbeck processes;

          • -

        • sim_detections simulates detections at receivers arising from movement paths under a diversity of detection probability models;

          • -
        - -

        Another set of functions facilitate the evaluation of the performance of alternative algorithms for inferring patterns of space use under different array designs, movement models and detections models:

          -

        • eval_by_kud compares patterns of space use inferred from simulated and estimated movement paths using kernel utilisation distributions;

          • -
        - -

        Parallelisation

        - +

      • sim_detections simulates detections at receivers arising from movement paths under a diversity of detection probability models;

        • +

      Another set of functions facilitate the evaluation of the performance of alternative algorithms for inferring patterns of space use under different array designs, movement models and detections models:

      • eval_by_kud compares patterns of space use inferred from simulated and estimated movement paths using kernel utilisation distributions;

        • +
    +
    +

    Parallelisation

    -

    Parallelisation is facilitated by the cl_*() function family:

      -

    • cl_lapply is a wrapper for pblapply that handles cluster checking set up and closure (see flapper-tips-parallel) using the following functions:

        -

      • cl_check checks a cluster;

        • -

      • cl_cores identifies the number of cores;

        • -

      • cl_chunks defines chunks for parallelisation;

        • -

      • cl_export exports objects required by a cluster;

        • -

      • cl_stop closes a cluster;

        • +

        Parallelisation is facilitated by the cl_*() function family:

        - -

        See also

        - -

        https://github.com/edwardlavender/flapper

        -

        Author

        - +
    +
    +

    See also

    +

    https://github.com/edwardlavender/flapper

    +
    +
    +

    Author

    Edward Lavender

    +
    +
    - - - + + diff --git a/docs/reference/flapper_opts.html b/docs/reference/flapper_opts.html index 885d62d..fe1403d 100644 --- a/docs/reference/flapper_opts.html +++ b/docs/reference/flapper_opts.html @@ -1,67 +1,12 @@ - - - - - - - -Global example controls — flapper_opts • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Global example controls — flapper_opts • flapper - - - - + + -
    -
    - -
    - -
    +

    Global example controls

    - Source: R/opts.R + Source: R/opts.R
    @@ -123,170 +65,1874 @@

    Global example controls

    These variables provide convenient switches for turning examples on/off during package testing. They can be overridden by the user.

    - 
    flapper_run_parallel
-
-flapper_run_slow
    - - -

    Format

    +
    + 
    flapper_run_parallel
+
+flapper_run_slow
    +
    +
    +

    Format

    An object of class logical of length 1.

    An object of class logical of length 1.

    -

    Details

    - -

    A set of logical variables:

      -

    • flapper_run_parallel is a logical variable that defines whether or not to run selected parallel examples.

      • +
    +
    +

    Details

    +

    A set of logical variables:

    • flapper_run_parallel is a logical variable that defines whether or not to run selected parallel examples.

    • flapper_run_slow is logical variable that defines whether or not to run selected `slow' examples.

      • -
    - -

    Author

    - +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): flapper_run_parallel
-## Illustration of intended usage for a parallelised function
-if(flapper_run_parallel){
-  cl_lapply(1:10,
-            function(x) x + 1,
-            cl = parallel::makeCluster(2L))
-}
-
    #> [[1]]
-#> [1] 2
-#> 
-#> [[2]]
-#> [1] 3
-#> 
-#> [[3]]
-#> [1] 4
-#> 
-#> [[4]]
-#> [1] 5
-#> 
-#> [[5]]
-#> [1] 6
-#> 
-#> [[6]]
-#> [1] 7
-#> 
-#> [[7]]
-#> [1] 8
-#> 
-#> [[8]]
-#> [1] 9
-#> 
-#> [[9]]
-#> [1] 10
-#> 
-#> [[10]]
-#> [1] 11
-#> 
    
-#### Example (2): flapper_run_slow
-## Illustration of intended usage for a slow function
-if(flapper_run_slow){
-  pf_args               <- dat_dcpf_histories$args
-  pf_args$n             <- 100
-  pf_args$calc_distance <- "lcp"
-  pf_args$seed          <- 1
-  out_pf                <- do.call(pf, pf_args)
-}
-
    #> flapper::pf() called (@ 2022-06-17 10:02:26)... 
-#> ... Setting up function... 
-#> ... Setting up cost-surface for calc_distance = 'lcp'... 
-#> flapper::lcp_costs() called (@ 2022-06-17 10:02:26)... 
-#> ... Defining transition matrices... 
    #> Warning: transition function gives negative values
    #> ... Calculating distance matrices... 
-#> ... Assembling LCP costs... 
-#> ... flapper::lcp_costs() call completed (@ 2022-06-17 10:02:26) after ~0 minutes. 
-#> flapper::lcp_graph_surface() called (@ 2022-06-17 10:02:26)... 
-#> ... Defining nodes, edges and costs to make graph... 
-#> ... Constructing graph object... 
-#> ... flapper::lcp_graph_surface() call completed (@ 2022-06-17 10:02:26) after ~0 minutes. 
-#> ... Determining the set of possible starting locations (t = 1)... 
-#> flapper::lcp_from_point() called (@ 2022-06-17 10:02:26)... 
-#> ... Calling cppRouting::get_distance_matrix() to get least-cost distances... 
-#> ... Making raster of least-cost distances from origin ... 
-#> ... flapper::lcp_from_point() call completed (@ 2022-06-17 10:02:26) after ~0 minutes. 
-#> ... Implementing algorithm iteratively over time steps... 
-#> ... ... Time = 1... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 2... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 3... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 4... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 5... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 6... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 7... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 8... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 9... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 10... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 11... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 12... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 13... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 14... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 15... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 16... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 17... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 18... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... flapper::pf() call completed (@ 2022-06-17 10:02:59) after ~0.56 minutes. 
    
-
    +
    +

    Examples

    + 
    #### Example (1): flapper_run_parallel
+## Illustration of intended usage for a parallelised function
+if(flapper_run_parallel){
+  cl_lapply(1:10,
+            function(x) x + 1,
+            cl = parallel::makeCluster(2L))
+}
+#> [[1]]
+#> [1] 2
+#> 
+#> [[2]]
+#> [1] 3
+#> 
+#> [[3]]
+#> [1] 4
+#> 
+#> [[4]]
+#> [1] 5
+#> 
+#> [[5]]
+#> [1] 6
+#> 
+#> [[6]]
+#> [1] 7
+#> 
+#> [[7]]
+#> [1] 8
+#> 
+#> [[8]]
+#> [1] 9
+#> 
+#> [[9]]
+#> [1] 10
+#> 
+#> [[10]]
+#> [1] 11
+#> 
+
+#### Example (2): flapper_run_slow
+## Illustration of intended usage for a slow function
+if(flapper_run_slow){
+  pf_args               <- dat_dcpf_histories$args
+  pf_args$n             <- 100
+  pf_args$calc_distance <- "lcp"
+  pf_args$seed          <- 1
+  out_pf                <- do.call(pf, pf_args)
+}
+#> flapper::pf() called (@ 2023-02-19 14:57:40)... 
+#> ... Setting up function... 
+#> ... Setting up cost-surface for calc_distance = 'lcp'... 
+#> flapper::lcp_costs() called (@ 2023-02-19 14:57:40)... 
+#> ... Defining transition matrices... 
+#> Warning: transition function gives negative values
+#> ... Calculating distance matrices... 
+#> ... Assembling LCP costs... 
+#> ... flapper::lcp_costs() call completed (@ 2023-02-19 14:57:40) after ~0 minutes. 
+#> flapper::lcp_graph_surface() called (@ 2023-02-19 14:57:40)... 
+#> ... Defining nodes, edges and costs to make graph... 
+#> ... Constructing graph object... 
+#> ... flapper::lcp_graph_surface() call completed (@ 2023-02-19 14:57:40) after ~0 minutes. 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> flapper::lcp_from_point() called (@ 2023-02-19 14:57:40)... 
+#> ... Calling cppRouting::get_distance_matrix() to get least-cost distances... 
+#> ... Making raster of least-cost distances from origin ... 
+#> ... flapper::lcp_from_point() call completed (@ 2023-02-19 14:57:40) after ~0 minutes. 
+#> ... Implementing algorithm iteratively over time steps... 
+#> ... ... Time = 1... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 2... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 3... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 4... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 5... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 6... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 7... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 8... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 9... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 10... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 11... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 12... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 13... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 14... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 15... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 16... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 17... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 18... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... flapper::pf() call completed (@ 2023-02-19 14:58:27) after ~0.78 minutes. 
+
+
    +
    +
    - - - + + diff --git a/docs/reference/get_detection_area_sum-2.png b/docs/reference/get_detection_area_sum-2.png index 27f4f6c..c29af25 100644 Binary files a/docs/reference/get_detection_area_sum-2.png and b/docs/reference/get_detection_area_sum-2.png differ diff --git a/docs/reference/get_detection_area_sum-3.png b/docs/reference/get_detection_area_sum-3.png index a871c50..22e3b72 100644 Binary files a/docs/reference/get_detection_area_sum-3.png and b/docs/reference/get_detection_area_sum-3.png differ diff --git a/docs/reference/get_detection_area_sum-4.png b/docs/reference/get_detection_area_sum-4.png index 8aaf637..4949e5d 100644 Binary files a/docs/reference/get_detection_area_sum-4.png and b/docs/reference/get_detection_area_sum-4.png differ diff --git a/docs/reference/get_detection_area_sum-5.png b/docs/reference/get_detection_area_sum-5.png index 27f4f6c..c29af25 100644 Binary files a/docs/reference/get_detection_area_sum-5.png and b/docs/reference/get_detection_area_sum-5.png differ diff --git a/docs/reference/get_detection_area_sum.html b/docs/reference/get_detection_area_sum.html index 9ab9503..90259ef 100644 --- a/docs/reference/get_detection_area_sum.html +++ b/docs/reference/get_detection_area_sum.html @@ -1,67 +1,12 @@ - - - - - - - -Calculate the total area sampled by acoustic receivers — get_detection_area_sum • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate the total area sampled by acoustic receivers — get_detection_area_sum • flapper - - - - + + -
    -
    - -
    - -
    +

    Calculate the total area sampled by acoustic receivers

    - Source: R/get_detections.R + Source: R/get_detections.R
    -

    This function calculates the total area sampled by receivers, under the assumption of a constant detection range. To implement the function, receiver locations must be supplied as a SpatialPoints or SpatialPointsDataFrame object with the Universe Transverse Mercator coordinate reference system. The get_detection_containers is used to calculate the detection containers around receivers, given a specified detection range (m) and any barriers to detection, such as coastline, and then the total area covered by receivers is calculated, accounting for overlapping containers.

    +

    This function calculates the total area sampled by receivers, under the assumption of a constant detection range. To implement the function, receiver locations must be supplied as a SpatialPoints or SpatialPointsDataFrame object with the Universe Transverse Mercator coordinate reference system. The get_detection_containers is used to calculate the detection containers around receivers, given a specified detection range (m) and any barriers to detection, such as coastline, and then the total area covered by receivers is calculated, accounting for overlapping containers.

    +
    + +
    + 
    get_detection_area_sum(
+  xy,
+  detection_range = 425,
+  coastline = NULL,
+  scale = 1/(1000^2),
+  plot = TRUE,
+  ...
+)
    - 
    get_detection_area_sum(
-  xy,
-  detection_range = 425,
-  coastline = NULL,
-  scale = 1/(1000^2),
-  plot = TRUE,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - -
    xy, detection_range, coastline, plot, ...

    Arguments required to calculate and visualise detection containers via get_detection_containers; namely, receiver locations (xy), the detection range (detection_range), barriers to detection (coastline), and whether or not to plot the containers (plot).

    scale

    A number that scales the total area (m). The default (1/(1000^2)) converts the units of \(m^2\) to \(km^2\).

    - -

    Value

    - -

    The function returns a number that represents the total area surveyed by receivers (by default in \(km^2\)) and, if plot = TRUE, a plot of the area with receivers and their detection ranges.

    -

    Details

    +
    +

    Arguments

    +
    xy, detection_range, coastline, plot, ...
    +

    Arguments required to calculate and visualise detection containers via get_detection_containers; namely, receiver locations (xy), the detection range (detection_range), barriers to detection (coastline), and whether or not to plot the containers (plot).

    -

    This is a simple metric of the overall receiver sampling effort. This may be a poor metric if the assumption of a single detection range across all receivers is substantially incorrect or if there are substantial changes in the receiver array over the course of a study.

    -

    See also

    -

    get_detection_containers defines detection containers, across which the detection area is calculated. get_detection_area_ts calculates the area sampled by receivers through time.

    -

    Author

    +
    scale
    +

    A number that scales the total area (m). The default (1/(1000^2)) converts the units of \(m^2\) to \(km^2\).

    + +
    +
    +

    Value

    + +

    The function returns a number that represents the total area surveyed by receivers (by default in \(km^2\)) and, if plot = TRUE, a plot of the area with receivers and their detection ranges.

    +
    +
    +

    Details

    +

    This is a simple metric of the overall receiver sampling effort. This may be a poor metric if the assumption of a single detection range across all receivers is substantially incorrect or if there are substantial changes in the receiver array over the course of a study.

    +
    +
    +

    See also

    +

    get_detection_containers defines detection containers, across which the detection area is calculated. get_detection_area_ts calculates the area sampled by receivers through time.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Define receiver locations as a SpatialPoints object with a UTM CRS
-proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
-proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
-xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
-                        proj_wgs84)
-xy <- sp::spTransform(xy, proj_utm)
-
-#### Example (1): Calculate the total area sampled by receivers
-get_detection_area_sum(xy)
-
    #> [1] 16.94072
    
-#### Example (2): Account for barriers in the study area
-get_detection_area_sum(xy, coastline = dat_coast)
-
    #> [1] 16.33558
    
-#### Example (3): Adjust the detection range
-get_detection_area_sum(xy, detection_range = 400, coastline = dat_coast)
-
    #> [1] 14.93851
    get_detection_area_sum(xy, detection_range = 500, coastline = dat_coast)
-
    #> [1] 20.68055
    
-#### Example (4): Adjust the units
-get_detection_area_sum(xy, coastline = dat_coast, scale = 1) # m2
-
    #> [1] 16335577
    
-#### Example (5): Suppress the plot
-get_detection_area_sum(xy, coastline = dat_coast, plot = FALSE)
-
    #> [1] 16.33558
    
-
    +
    +

    Examples

    + 
    #### Define receiver locations as a SpatialPoints object with a UTM CRS
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
+xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
+                        proj_wgs84)
+xy <- sp::spTransform(xy, proj_utm)
+
+#### Example (1): Calculate the total area sampled by receivers
+get_detection_area_sum(xy)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+#> [1] 16.94072
+
+#### Example (2): Account for barriers in the study area
+get_detection_area_sum(xy, coastline = dat_coast)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+
+#> [1] 16.33558
+
+#### Example (3): Adjust the detection range
+get_detection_area_sum(xy, detection_range = 400, coastline = dat_coast)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+
+#> [1] 14.93851
+get_detection_area_sum(xy, detection_range = 500, coastline = dat_coast)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+
+#> [1] 20.68055
+
+#### Example (4): Adjust the units
+get_detection_area_sum(xy, coastline = dat_coast, scale = 1) # m2
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+
+#> [1] 16335577
+
+#### Example (5): Suppress the plot
+get_detection_area_sum(xy, coastline = dat_coast, plot = FALSE)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> [1] 16.33558
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/get_detection_area_ts-1.png b/docs/reference/get_detection_area_ts-1.png index 0127618..6d09bed 100644 Binary files a/docs/reference/get_detection_area_ts-1.png and b/docs/reference/get_detection_area_ts-1.png differ diff --git a/docs/reference/get_detection_area_ts-2.png b/docs/reference/get_detection_area_ts-2.png index 7978d85..d00d048 100644 Binary files a/docs/reference/get_detection_area_ts-2.png and b/docs/reference/get_detection_area_ts-2.png differ diff --git a/docs/reference/get_detection_area_ts-3.png b/docs/reference/get_detection_area_ts-3.png index 8f042aa..0668240 100644 Binary files a/docs/reference/get_detection_area_ts-3.png and b/docs/reference/get_detection_area_ts-3.png differ diff --git a/docs/reference/get_detection_area_ts.html b/docs/reference/get_detection_area_ts.html index dc1e962..446be0d 100644 --- a/docs/reference/get_detection_area_ts.html +++ b/docs/reference/get_detection_area_ts.html @@ -1,67 +1,12 @@ - - - - - - - -Calculate the area sampled by receivers through time — get_detection_area_ts • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate the area sampled by receivers through time — get_detection_area_ts • flapper - - + + - - -
    -
    - -
    - -
    +

    Calculate the area sampled by receivers through time

    - Source: R/get_detections.R + Source: R/get_detections.R
    -

    This function extends get_detection_area_sum to calculate how the total area sampled by receivers changes through time.

    +

    This function extends get_detection_area_sum to calculate how the total area sampled by receivers changes through time.

    +
    + +
    + 
    get_detection_area_ts(
+  xy,
+  detection_range = 425,
+  coastline = NULL,
+  scale = 1/(1000^2),
+  plot = TRUE,
+  verbose = TRUE,
+  cl = NULL,
+  varlist = NULL,
+  ...
+)
    - 
    get_detection_area_ts(
-  xy,
-  detection_range = 425,
-  coastline = NULL,
-  scale = 1/(1000^2),
-  plot = TRUE,
-  verbose = TRUE,
-  cl = NULL,
-  varlist = NULL,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - -
    xy, detection_range, coastline, scale

    Arguments required to calculate the total area surveyed by receivers (at each time point) via get_detection_area_sum. For this function, xy should be a SpatialPolygonsDataFrame-class object that includes both receiver locations and corresponding deployment times (in columns named `receiver_start_date' and `receiver_end_date' respectively).

    plot

    A logical input that defines whether or not to plot a time series of the total area sampled by receivers.

    verbose

    A logical input that defines whether or not to print messages to the console to relay function progress.

    cl, varlist

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    ...

    Additional arguments, passed to pretty_plot, to customise the plot produced.

    - -

    Value

    - -

    The function returns a dataframe with, for each date (`date') from the time of the first receiver's deployment to the time of the last receiver's retrieval, the number of receivers operational on that date (`n') and the total area sampled (`receiver_area'). If plot = TRUE, the function also returns a plot of the area sampled by receivers through time.

    -

    Author

    +
    +

    Arguments

    +
    xy, detection_range, coastline, scale
    +

    Arguments required to calculate the total area surveyed by receivers (at each time point) via get_detection_area_sum. For this function, xy should be a SpatialPolygonsDataFrame-class object that includes both receiver locations and corresponding deployment times (in columns named `receiver_start_date' and `receiver_end_date' respectively).

    + + +
    plot
    +

    A logical input that defines whether or not to plot a time series of the total area sampled by receivers.

    + +
    verbose
    +

    A logical input that defines whether or not to print messages to the console to relay function progress.

    + + +
    cl, varlist
    +

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    + + +
    ...
    +

    Additional arguments, passed to pretty_plot, to customise the plot produced.

    + +
    +
    +

    Value

    + + +

    The function returns a dataframe with, for each date (`date') from the time of the first receiver's deployment to the time of the last receiver's retrieval, the number of receivers operational on that date (`n') and the total area sampled (`receiver_area'). If plot = TRUE, the function also returns a plot of the area sampled by receivers through time.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Define SpatialPointsDataFrame with receiver locations and deployment dates
-proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
-proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
-xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
-                        proj_wgs84)
-xy <- sp::spTransform(xy, proj_utm)
-xy <- sp::SpatialPointsDataFrame(xy, data = dat_moorings)
-
-#### Example (1): Implement function with default arguments
-dat <- get_detection_area_ts(xy)
-
    #> flapper::get_detection_area_ts() called (@ 2022-06-17 10:03:01)... 
-#> ... Implementing function checks... 
-#> ... Implementing algorithm... 
-#> ... Visualising time series 
    #> ... flapper::get_detection_area_ts() call completed (@ 2022-06-17 10:03:09) after ~0.15 minutes. 
    
-#### Example (2): Adjust detection range, include coastline and use parallel processing
-# For areas with complex coastline, this will reduce the speed of the algorithm
-# So we will also supply a cluster to improve the computation time.
-if(flapper_run_parallel){
-  dat <- get_detection_area_ts(xy,
-                               detection_range = 500,
-                               coastline = dat_coast,
-                               cl = parallel::makeCluster(2L),
-                               varlist = "dat_coast"
-                               )
-}
-
    #> flapper::get_detection_area_ts() called (@ 2022-06-17 10:03:09)... 
-#> ... Implementing function checks... 
-#> ... Implementing algorithm... 
-#> ... Visualising time series 
    #> ... flapper::get_detection_area_ts() call completed (@ 2022-06-17 10:03:36) after ~0.45 minutes. 
    
-#### Example (3) Hide or customise the plot
-dat <- get_detection_area_ts(xy, plot = FALSE)
-
    #> flapper::get_detection_area_ts() called (@ 2022-06-17 10:03:36)... 
-#> ... Implementing function checks... 
-#> ... Implementing algorithm... 
-#> ... Visualising time series 
-#> ... flapper::get_detection_area_ts() call completed (@ 2022-06-17 10:03:46) after ~0.17 minutes. 
    dat <-
-  get_detection_area_ts(xy,
-                        pretty_axis_args =
-                          list(
-                            axis = list(list(format = "%b-%y"),
-                                        list()
-                                        )),
-                       xlab = "Time (month-year)",
-                       ylab = expression(paste("Area (", m^2, ")")),
-                       type = "l")
-
    #> flapper::get_detection_area_ts() called (@ 2022-06-17 10:03:46)... 
-#> ... Implementing function checks... 
-#> ... Implementing algorithm... 
-#> ... Visualising time series 
    #> Argument 'side' not supplied to pretty_axis_args (nor 'axis_ls'); defaulting to side = 1:2.
    #> ... flapper::get_detection_area_ts() call completed (@ 2022-06-17 10:03:56) after ~0.16 minutes. 
    
-
    +
    +

    Examples

    + 
    #### Define SpatialPointsDataFrame with receiver locations and deployment dates
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
+xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
+                        proj_wgs84)
+xy <- sp::spTransform(xy, proj_utm)
+xy <- sp::SpatialPointsDataFrame(xy, data = dat_moorings)
+
+#### Example (1): Implement function with default arguments
+dat <- get_detection_area_ts(xy)
+#> flapper::get_detection_area_ts() called (@ 2023-02-19 14:58:29)... 
+#> ... Implementing function checks... 
+#> ... Implementing algorithm... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Visualising time series 
+
+#> ... flapper::get_detection_area_ts() call completed (@ 2023-02-19 14:58:39) after ~0.16 minutes. 
+
+#### Example (2): Adjust detection range, include coastline and use parallel processing
+# For areas with complex coastline, this will reduce the speed of the algorithm
+# So we will also supply a cluster to improve the computation time.
+if(flapper_run_parallel){
+  dat <- get_detection_area_ts(xy,
+                               detection_range = 500,
+                               coastline = dat_coast,
+                               cl = parallel::makeCluster(2L),
+                               varlist = "dat_coast"
+                               )
+}
+#> flapper::get_detection_area_ts() called (@ 2023-02-19 14:58:39)... 
+#> ... Implementing function checks... 
+#> ... Implementing algorithm... 
+#> ... Visualising time series 
+
+#> ... flapper::get_detection_area_ts() call completed (@ 2023-02-19 14:58:57) after ~0.31 minutes. 
+
+#### Example (3) Hide or customise the plot
+dat <- get_detection_area_ts(xy, plot = FALSE)
+#> flapper::get_detection_area_ts() called (@ 2023-02-19 14:58:57)... 
+#> ... Implementing function checks... 
+#> ... Implementing algorithm... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Visualising time series 
+#> ... flapper::get_detection_area_ts() call completed (@ 2023-02-19 14:59:07) after ~0.15 minutes. 
+dat <-
+  get_detection_area_ts(xy,
+                        pretty_axis_args =
+                          list(
+                            axis = list(list(format = "%b-%y"),
+                                        list()
+                                        )),
+                       xlab = "Time (month-year)",
+                       ylab = expression(paste("Area (", m^2, ")")),
+                       type = "l")
+#> flapper::get_detection_area_ts() called (@ 2023-02-19 14:59:07)... 
+#> ... Implementing function checks... 
+#> ... Implementing algorithm... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Visualising time series 
+#> Argument 'side' not supplied to pretty_axis_args (nor 'axis_ls'); defaulting to side = 1:2.
+
+#> ... flapper::get_detection_area_ts() call completed (@ 2023-02-19 14:59:16) after ~0.16 minutes. 
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/get_detection_clumps.html b/docs/reference/get_detection_clumps.html index bbecb2a..56a0b4c 100644 --- a/docs/reference/get_detection_clumps.html +++ b/docs/reference/get_detection_clumps.html @@ -1,67 +1,12 @@ - - - - - - - -Get detection clumps — get_detection_clumps • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Get detection clumps — get_detection_clumps • flapper + + - - - - -
    -
    - -
    - -
    +

    Get detection clumps

    - Source: R/get_detections.R + Source: R/get_detections.R
    -

    This function identifies unique, uninterrupted series of detections (`clumps') over a given time interval--for example, occasions when detections clumped into periods of one, two, three, ..., n days in duration without gaps longer than one day in length. A dataframe identifying each clump and the associated start time or the frequency distribution of the duration of clumps is returned.

    +

    This function identifies unique, uninterrupted series of detections (`clumps') over a given time interval--for example, occasions when detections clumped into periods of one, two, three, ..., \(n\) days in duration without gaps longer than one day in length. A dataframe identifying each clump and the associated start time or the frequency distribution of the duration of clumps is returned.

    - 
    get_detection_clumps(
-  acoustics,
-  fct = NULL,
-  interval = "days",
-  summarise = TRUE
-)
    +
    + 
    get_detection_clumps(
+  acoustics,
+  fct = NULL,
+  interval = "days",
+  summarise = TRUE
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - -
    acoustics

    A dataframe that contains passive acoustic telemetry detection time series (see dat_acoustics for an example). At a minimum, this should contain a POSIXct vector of time stamps when detections were made named `timestamp'.

    fct

    (optional) A character that defines the name of a column in acoustics that distinguishes acoustic time series for different individuals.

    interval

    A character that defines the time interval. This must be supported by round_date. The default is "days", in which case the function identifies clumps in units of days, with detections within the same clump occurring within one day of each other.

    summarise

    A logical input that defines whether or not to summarise detection clumps in terms of the frequency distribution of clump lengths (see Value).

    +
    +

    Arguments

    +
    acoustics
    +

    A dataframe that contains passive acoustic telemetry detection time series (see dat_acoustics for an example). At a minimum, this should contain a POSIXct vector of time stamps when detections were made named `timestamp'.

    -

    Value

    -

    For implementations with summarise = FALSE, the function returns a dataframe that defines, for each fct, the number of intervals in a given clump (`n_intervals') and start time of the clump (`timestamp').

    -

    For implementations with summarise = TRUE, the function returns a dataframe that defines the frequency distribution of the duration of detection clumps (i.e., the number of occasions when detection clumps lasted different lengths of time). This includes the following columns: (1) `n_interval', the duration of the clump, in units of interval; (2) `n_occasions', the number of occasions when detections clumped into windows of that duration; (3) `eg_occasions', the time stamp of an example clump of the specified duration; and, if fct is supplied, a column that distinguishes each individual.

    -

    Details

    +
    fct
    +

    (optional) A character that defines the name of a column in acoustics that distinguishes acoustic time series for different individuals.

    -

    Detection clumps (and, more specifically, the frequency distribution of the duration of clump lengths) provide a means to assess residency within an array by determining how long individuals tended to spend around receivers.

    -

    See also

    -

    get_detection_days, get_residents

    -

    Author

    +
    interval
    +

    A character that defines the time interval. This must be supported by round_date. The default is "days", in which case the function identifies clumps in units of days, with detections within the same clump occurring within one day of each other.

    -

    Edward Lavender

    -

    Examples

    - 
    #### Define a hypothetical series of detections
-# with one occasion when the 'chunk length' is 1 day
-# ... two separate occasions when the chunk length is two days
-# ... ... (i.e., the individual was detected on two consecutive day
-# ... .... on two different occasions)
-# ... one occasion when the chunk length is 5 days
-# ... one occasion when the chunk lenghth is 7 days
-eg <-
-  data.frame(
-    timestamp =
-      as.Date(
-        c("2016-01-01", # one week of continuous detections
-          "2016-01-02",
-          "2016-01-03",
-          "2016-01-04",
-          "2016-01-05",
-          "2016-01-06",
-          "2016-01-07",
-          "2016-02-01", # one day with an isolated detection
-          "2016-02-03", # two days with detections
-          "2016-02-04",
-          "2016-02-15", # another two days with detections
-          "2016-02-16",
-          "2016-03-01", # five days of continuous detections
-          "2016-03-02",
-          "2016-03-03",
-          "2016-03-04",
-          "2016-03-05")))
+
    summarise
    
+
    A logical input that defines whether or not to summarise detection clumps in terms of the frequency distribution of clump lengths (see Value).
    
+
+
    +
    +

    Value

    + + +

    For implementations with summarise = FALSE, the function returns a dataframe that defines, for each fct, the number of intervals in a given clump (`n_intervals') and start time of the clump (`timestamp').

    -#### Example (1): Implement function with default options -# ... (for one individual, with a daily time interval) -get_detection_clumps(eg) -
    #> n_intervals n_occasions eg_occasions -#> 1 1 1 2016-02-01 -#> 2 2 2 2016-02-03 -#> 3 5 1 2016-03-01 -#> 4 7 1 2016-01-01
    -#### Example (2): Implement function for multiple individuals -# Use a factor to distinguish IDs. As an example: -eg$individual_id <- 1L -get_detection_clumps(eg, fct = "individual_id") -
    #> n_intervals n_occasions eg_occasions individual_id -#> 1 1 1 2016-02-01 1 -#> 2 2 2 2016-02-03 1 -#> 3 5 1 2016-03-01 1 -#> 4 7 1 2016-01-01 1
    -#### Example (3): Change the time interval -## E.g. Use an hourly interval: -# There are 17 unique clumps in this dataset, each comprising a single hour -eg$timestamp <- as.POSIXct(eg$timestamp) -get_detection_clumps(eg, interval = "hours") -
    #> n_intervals n_occasions eg_occasions -#> 1 1 17 2016-01-01
    ## E.g. Use a monthly interval -# There is a single 'three-month' clump of detections for this individual -# ... when viewed at a monthly timescale: -get_detection_clumps(eg, interval = "months") -
    #> n_intervals n_occasions eg_occasions -#> 1 3 1 2016-01-01
    -#### Example (4): Identify the timing of each clump with summarise = FALSE -get_detection_clumps(eg, summarise = FALSE) -
    #> n_intervals timestamp -#> 1 7 2016-01-01 -#> 2 1 2016-02-01 -#> 3 2 2016-02-03 -#> 4 2 2016-02-15 -#> 5 5 2016-03-01
    -
    + +

    For implementations with summarise = TRUE, the function returns a dataframe that defines the frequency distribution of the duration of detection clumps (i.e., the number of occasions when detection clumps lasted different lengths of time). This includes the following columns: (1) `n_interval', the duration of the clump, in units of interval; (2) `n_occasions', the number of occasions when detections clumped into windows of that duration; (3) `eg_occasions', the time stamp of an example clump of the specified duration; and, if fct is supplied, a column that distinguishes each individual.

    +
    +
    +

    Details

    +

    Detection clumps (and, more specifically, the frequency distribution of the duration of clump lengths) provide a means to assess residency within an array by determining how long individuals tended to spend around receivers.

    +
    + +
    +

    Author

    +

    Edward Lavender

    +
    + +
    +

    Examples

    + 
    #### Define a hypothetical series of detections
+# with one occasion when the 'chunk length' is 1 day
+# ... two separate occasions when the chunk length is two days
+# ... ... (i.e., the individual was detected on two consecutive days
+# ... .... on two different occasions)
+# ... one occasion when the chunk length is 5 days
+# ... one occasion when the chunk length is 7 days
+eg <-
+  data.frame(
+    timestamp =
+      as.POSIXct(
+        c("2016-01-01", # one week of continuous detections
+          "2016-01-02",
+          "2016-01-03",
+          "2016-01-04",
+          "2016-01-05",
+          "2016-01-06",
+          "2016-01-07",
+          "2016-02-01", # one day with an isolated detection
+          "2016-02-03", # two days with detections
+          "2016-02-04",
+          "2016-02-15", # another two days with detections
+          "2016-02-16",
+          "2016-03-01", # five days of continuous detections
+          "2016-03-02",
+          "2016-03-03",
+          "2016-03-04",
+          "2016-03-05")))
+
+#### Example (1): Implement function with default options
+# ... (for one individual, with a daily time interval)
+get_detection_clumps(eg)
+#>   n_intervals n_occasions eg_occasions
+#> 1           1           1   2016-02-01
+#> 2           2           2   2016-02-03
+#> 3           5           1   2016-03-01
+#> 4           7           1   2016-01-01
+
+#### Example (2): Implement function for multiple individuals
+# Use a factor to distinguish IDs. As an example:
+eg$individual_id <- 1L
+get_detection_clumps(eg, fct = "individual_id")
+#>   n_intervals n_occasions eg_occasions individual_id
+#> 1           1           1   2016-02-01             1
+#> 2           2           2   2016-02-03             1
+#> 3           5           1   2016-03-01             1
+#> 4           7           1   2016-01-01             1
+
+#### Example (3): Change the time interval
+## E.g. Use an hourly interval:
+# There are 17 unique clumps in this dataset, each comprising a single hour
+get_detection_clumps(eg, interval = "hours")
+#>   n_intervals n_occasions eg_occasions
+#> 1           1          17   2016-01-01
+## E.g. Use a monthly interval
+# There is a single 'three-month' clump of detections for this individual
+# ... when viewed at a monthly timescale:
+get_detection_clumps(eg, interval = "months")
+#>   n_intervals n_occasions eg_occasions
+#> 1           3           1   2016-01-01
+
+#### Example (4): Identify the timing of each clump with summarise = FALSE
+get_detection_clumps(eg, summarise = FALSE)
+#>   n_intervals  timestamp
+#> 1           7 2016-01-01
+#> 2           1 2016-02-01
+#> 3           2 2016-02-03
+#> 4           2 2016-02-15
+#> 5           5 2016-03-01
+
+
    +
    +
    - - - + + diff --git a/docs/reference/get_detection_containers-2.png b/docs/reference/get_detection_containers-2.png index 27f4f6c..c29af25 100644 Binary files a/docs/reference/get_detection_containers-2.png and b/docs/reference/get_detection_containers-2.png differ diff --git a/docs/reference/get_detection_containers-3.png b/docs/reference/get_detection_containers-3.png index a871c50..22e3b72 100644 Binary files a/docs/reference/get_detection_containers-3.png and b/docs/reference/get_detection_containers-3.png differ diff --git a/docs/reference/get_detection_containers-4.png b/docs/reference/get_detection_containers-4.png index 8aaf637..4949e5d 100644 Binary files a/docs/reference/get_detection_containers-4.png and b/docs/reference/get_detection_containers-4.png differ diff --git a/docs/reference/get_detection_containers-5.png b/docs/reference/get_detection_containers-5.png index 27f4f6c..c29af25 100644 Binary files a/docs/reference/get_detection_containers-5.png and b/docs/reference/get_detection_containers-5.png differ diff --git a/docs/reference/get_detection_containers-6.png b/docs/reference/get_detection_containers-6.png index 9d3fe36..b6df82b 100644 Binary files a/docs/reference/get_detection_containers-6.png and b/docs/reference/get_detection_containers-6.png differ diff --git a/docs/reference/get_detection_containers-7.png b/docs/reference/get_detection_containers-7.png index cb38321..11a044c 100644 Binary files a/docs/reference/get_detection_containers-7.png and b/docs/reference/get_detection_containers-7.png differ diff --git a/docs/reference/get_detection_containers.html b/docs/reference/get_detection_containers.html index 90a86e3..5bd8b1f 100644 --- a/docs/reference/get_detection_containers.html +++ b/docs/reference/get_detection_containers.html @@ -1,67 +1,12 @@ - - - - - - - -Define detection containers around receivers — get_detection_containers • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Define detection containers around receivers — get_detection_containers • flapper + + - - - - -
    -
    - -
    - -
    +

    Define detection containers around receivers

    - Source: R/get_detections.R + Source: R/get_detections.R
    @@ -123,141 +65,255 @@

    Define detection containers around receivers

    This function defines the areas surveyed by receivers (termed `detection containers') as a spatial object, based on an estimate of the detection range (m) and any barriers to detection. To implement the function, receiver locations must be supplied as a SpatialPoints or SpatialPointsDataFrame object with the Universe Transverse Mercator coordinate reference system. The function defines a spatial buffer around each receiver according to the estimated detection range, cuts out any barriers to detection, such as the coastline, and returns a SpatialPolygons object that defines the combined detection container across all receivers or receiver-specific detection containers.

    - 
    get_detection_containers(
-  xy,
-  detection_range = 425,
-  resolution = 1000,
-  boundaries = NULL,
-  coastline = NULL,
-  plot = TRUE,
-  ...
-)
    +
    + 
    get_detection_containers(
+  xy,
+  detection_range = 425,
+  resolution = 1000,
+  boundaries = NULL,
+  coastline = NULL,
+  plot = TRUE,
+  ...
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    xy

    A SpatialPoints-class or SpatialPointsDataFrame-class object that defines receiver locations. The coordinate reference system should be the Universe Transverse Mercator coordinate reference system.

    detection_range

    A number that defines the detection range (m) of receivers.

    resolution

    A number that defines the number of linear segments used to approximate the detection container (see the quadsegs argument in gBuffer).

    boundaries

    An extent object (on an object from which this can be extracted) that defines the boundaries of the study area.

    coastline

    (optional) A SpatialPolygonsDataFrame-class object that defines barriers (such as the coastline) that block receivers from surveying areas within their detection range.

    plot

    A logical input that defines whether or not to plot receivers, their containers, and the buffer (if specified).

    ...

    Additional arguments passed to gBuffer, such as byid.

    +
    +

    Arguments

    +
    xy
    +

    A SpatialPoints-class or SpatialPointsDataFrame-class object that defines receiver locations. The coordinate reference system should be the Universe Transverse Mercator coordinate reference system.

    -

    Value

    -

    The function returns a SpatialPolygons-class object of the detection containers around receivers that represents the area they survey under the assumption of a constant detection range, accounting for any barriers to detection. By default, this will contain a single feature, which is suitable for the calculation of the total area surveyed by receivers (see get_detection_area_sum) because it accounts for the overlap in the detection ranges of receivers. However, if byid = TRUE is passed via ... to gBuffer, the returned object will have a feature for each pair of coordinates in xy (i.e., receiver). This is less appropriate for calculating the area surveyed by receivers, since areas surveyed by multiple receivers will be over-counted, but it is suitable when the containers for particular receivers are required (e.g., to extract environmental conditions within a specific receiver's detection range) (see get_detection_containers_envir).

    -

    Author

    +
    detection_range
    +

    A number that defines the detection range (m) of receivers.

    + + +
    resolution
    +

    A number that defines the number of linear segments used to approximate the detection container (see the quadsegs argument in gBuffer).

    + + +
    boundaries
    +

    An extent object (on an object from which this can be extracted) that defines the boundaries of the study area.

    -

    Edward Lavender

    -

    Examples

    - 
    #### Define receiver locations as a SpatialPoints object with a UTM CRS
-proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
-proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
-xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
-                        proj_wgs84)
-xy <- sp::spTransform(xy, proj_utm)
+
    coastline
    
+
    (optional) A SpatialPolygonsDataFrame-class object that defines barriers (such as the coastline) that block receivers from surveying areas within their detection range.
    
 
-#### Example (1): Get the simplest containers around receivers
-get_detection_containers(xy)
-
    #> class       : SpatialPolygons 
-#> features    : 1 
-#> extent      : 699188.2, 710830.8, 6249818, 6269562  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
    
-#### Example (2): Account for barriers in the study area
-get_detection_containers(xy, coastline = dat_coast)
-
    #> class       : SpatialPolygons 
-#> features    : 1 
-#> extent      : 699188.2, 710830.8, 6249818, 6269558  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
    
-#### Example (3): Adjust the detection range
-get_detection_containers(xy, detection_range = 400, coastline = dat_coast)
-
    #> class       : SpatialPolygons 
-#> features    : 1 
-#> extent      : 699213.2, 710805.8, 6249843, 6269536  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
    get_detection_containers(xy, detection_range = 500, coastline = dat_coast)
-
    #> class       : SpatialPolygons 
-#> features    : 1 
-#> extent      : 699113.2, 710905.8, 6249743, 6269629  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
    
-#### Example (4): Suppress the plot
-get_detection_containers(xy, coastline = dat_coast, plot = FALSE)
-
    #> class       : SpatialPolygons 
-#> features    : 1 
-#> extent      : 699188.2, 710830.8, 6249818, 6269558  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
    
-#### Example (5): Output characteristics are controlled via byid
-# A SpatialPolygons object with one feature is the implicit output
-sp_1 <- get_detection_containers(xy, coastline = dat_coast, byid = FALSE)
-
    sp_1
-
    #> class       : SpatialPolygons 
-#> features    : 1 
-#> extent      : 699188.2, 710830.8, 6249818, 6269558  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
    # A SpatialPolygons object with one feature for each element in xy
-# ... can be returned via byid = TRUE
-sp_2 <- get_detection_containers(xy, coastline = dat_coast, byid = TRUE)
-
    sp_2
-
    #> class       : SpatialPolygons 
-#> features    : 40 
-#> extent      : 699188.2, 710830.8, 6249818, 6269558  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
    # The total area of the former will be smaller, since areas covered
-# ... by multiple receivers are merged
-rgeos::gArea(sp_1); rgeos::gArea(sp_2)
-
    #> [1] 16335577
    #> [1] 21992939
    # But it can be more convenient to use the latter format in some cases
-# ... because it is easy to isolate specific containers:
-raster::plot(dat_coast)
-
    raster::plot(sp_1[1], add = TRUE, col = "red")  # single feature
-
    raster::plot(sp_2[1], add = TRUE, col = "blue") # isolate specific features
-
    
-
    + +
    plot
    +

    A logical input that defines whether or not to plot receivers, their containers, and the buffer (if specified).

    + + +
    ...
    +

    Additional arguments passed to gBuffer, such as byid.

    + +
    +
    +

    Value

    + + +

    The function returns a SpatialPolygons-class object of the detection containers around receivers that represents the area they survey under the assumption of a constant detection range, accounting for any barriers to detection. By default, this will contain a single feature, which is suitable for the calculation of the total area surveyed by receivers (see get_detection_area_sum) because it accounts for the overlap in the detection ranges of receivers. However, if byid = TRUE is passed via ... to gBuffer, the returned object will have a feature for each pair of coordinates in xy (i.e., receiver). This is less appropriate for calculating the area surveyed by receivers, since areas surveyed by multiple receivers will be over-counted, but it is suitable when the containers for particular receivers are required (e.g., to extract environmental conditions within a specific receiver's detection range) (see get_detection_containers_envir).

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    + +
    +

    Examples

    + 
    #### Define receiver locations as a SpatialPoints object with a UTM CRS
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
+xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
+                        proj_wgs84)
+xy <- sp::spTransform(xy, proj_utm)
+
+#### Example (1): Get the simplest containers around receivers
+get_detection_containers(xy)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+#> class       : SpatialPolygons 
+#> features    : 1 
+#> extent      : 699188.2, 710830.8, 6249818, 6269562  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+
+#### Example (2): Account for barriers in the study area
+get_detection_containers(xy, coastline = dat_coast)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+
+#> class       : SpatialPolygons 
+#> features    : 1 
+#> extent      : 699188.2, 710830.8, 6249818, 6269558  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+
+#### Example (3): Adjust the detection range
+get_detection_containers(xy, detection_range = 400, coastline = dat_coast)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+
+#> class       : SpatialPolygons 
+#> features    : 1 
+#> extent      : 699213.2, 710805.8, 6249843, 6269536  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+get_detection_containers(xy, detection_range = 500, coastline = dat_coast)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+
+#> class       : SpatialPolygons 
+#> features    : 1 
+#> extent      : 699113.2, 710905.8, 6249743, 6269629  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+
+#### Example (4): Suppress the plot
+get_detection_containers(xy, coastline = dat_coast, plot = FALSE)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> class       : SpatialPolygons 
+#> features    : 1 
+#> extent      : 699188.2, 710830.8, 6249818, 6269558  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+
+#### Example (5): Output characteristics are controlled via byid
+# A SpatialPolygons object with one feature is the implicit output
+sp_1 <- get_detection_containers(xy, coastline = dat_coast, byid = FALSE)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+
+sp_1
+#> class       : SpatialPolygons 
+#> features    : 1 
+#> extent      : 699188.2, 710830.8, 6249818, 6269558  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+# A SpatialPolygons object with one feature for each element in xy
+# ... can be returned via byid = TRUE
+sp_2 <- get_detection_containers(xy, coastline = dat_coast, byid = TRUE)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+
+sp_2
+#> class       : SpatialPolygons 
+#> features    : 40 
+#> extent      : 699188.2, 710830.8, 6249818, 6269558  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+# The total area of the former will be smaller, since areas covered
+# ... by multiple receivers are merged
+rgeos::gArea(sp_1); rgeos::gArea(sp_2)
+#> [1] 16335577
+#> [1] 21992939
+# But it can be more convenient to use the latter format in some cases
+# ... because it is easy to isolate specific containers:
+raster::plot(dat_coast)
+raster::plot(sp_1[1], add = TRUE, col = "red")  # single feature
+raster::plot(sp_2[1], add = TRUE, col = "blue") # isolate specific features
+
+
+
    +
    +
    - - - + + diff --git a/docs/reference/get_detection_containers_envir-1.png b/docs/reference/get_detection_containers_envir-1.png index d0dc681..b4a7e38 100644 Binary files a/docs/reference/get_detection_containers_envir-1.png and b/docs/reference/get_detection_containers_envir-1.png differ diff --git a/docs/reference/get_detection_containers_envir.html b/docs/reference/get_detection_containers_envir.html index 7045a48..f773d22 100644 --- a/docs/reference/get_detection_containers_envir.html +++ b/docs/reference/get_detection_containers_envir.html @@ -1,67 +1,12 @@ - - - - - - - -Sample environmental conditions around receivers — get_detection_containers_envir • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Sample environmental conditions around receivers — get_detection_containers_envir • flapper + + - - - - -
    -
    - -
    - -
    +

    Sample environmental conditions around receivers

    - Source: R/get_detections.R + Source: R/get_detections.R
    -

    This function is used to sample environmental conditions from within the detection containers of receivers. To implement the function, a SpatialPoints object that defines receiver locations (xy) must be provided, along with the detection range (detection_range) of receivers. This information is used to define detection containers, via get_detection_containers. Within each receiver's container, all values of an environmental variable, or a random sample of values, are extracted from a user-defined raster (envir). Under random sampling, values can be sampled according to a detection probability function (sample_probs). The function returns a list of dataframes, one for each receiver, that include the sampled values.

    +

    This function is used to sample environmental conditions from within the detection containers of receivers. To implement the function, a SpatialPoints object that defines receiver locations (xy) must be provided, along with the detection range (detection_range) of receivers. This information is used to define detection containers, via get_detection_containers. Within each receiver's container, all values of an environmental variable, or a random sample of values, are extracted from a user-defined raster (envir). Under random sampling, values can be sampled according to a detection probability function (sample_probs). The function returns a list of dataframes, one for each receiver, that include the sampled values.

    - 
    get_detection_containers_envir(
-  xy,
-  detection_range,
-  coastline,
-  plot = FALSE,
-  envir,
-  sample_size = NULL,
-  sample_replace = TRUE,
-  sample_probs = NULL,
-  cl = NULL,
-  varlist = NULL,
-  verbose = TRUE,
-  ...
-)
    +
    + 
    get_detection_containers_envir(
+  xy,
+  detection_range,
+  coastline,
+  plot = FALSE,
+  envir,
+  sample_size = NULL,
+  sample_replace = TRUE,
+  sample_probs = NULL,
+  cl = NULL,
+  varlist = NULL,
+  verbose = TRUE,
+  ...
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    xy, detection_range, coastline, plot, ...

    Arguments required to calculate and visualise detection containers via get_detection_containers; namely, receiver locations (xy), the detection range (detection_range), barriers to detection (coastline) and whether or not to plot the containers (plot). Additional arguments can be passed via ... but note that byid is necessarily TRUE and should not be provided.

    envir

    A raster that defines the values of an environmental variable across the study area. The coordinate reference system should be the Universal Transverse Mercator system.

    sample_size

    (optional) An integer that defines the number of samples of the environmental variable to draw from the area around each receiver (see the `size' argument of sample). If this is provided, sample_size samples are taken from this area; otherwise, all values are extracted.

    sample_replace

    (optional) If sample_size is specified, sample_replace is a logical input that defines whether to implement sampling with (sample_replace = TRUE, the default) or without (sample_replace = FALSE) replacement (see the `replace' argument of sample).

    sample_probs

    (optional) If sample_size is specified, sample_probs is a function that calculates the detection probability given the distance (m) between a cell and a receiver.

    cl, varlist

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    verbose

    A logical variable that defines whether or not relay messages to the console to monitor function progress.

    +
    +

    Arguments

    +
    xy, detection_range, coastline, plot, ...
    +

    Arguments required to calculate and visualise detection containers via get_detection_containers; namely, receiver locations (xy), the detection range (detection_range), barriers to detection (coastline) and whether or not to plot the containers (plot). Additional arguments can be passed via ... but note that byid is necessarily TRUE and should not be provided.

    -

    Value

    -

    The function returns a list of dataframes (one for each element in xy; i.e., each receiver), each of which includes the cell IDs of envir from which values were extracted (`cell'), the value of the environmental variable in that cell (`envir') and, if applicable, the distance between that cell and the receiver (`dist', m) and the detection probability in that cell (`prob').

    -

    Author

    +
    envir
    +

    A raster that defines the values of an environmental variable across the study area. The coordinate reference system should be the Universal Transverse Mercator system.

    + + +
    sample_size
    +

    (optional) An integer that defines the number of samples of the environmental variable to draw from the area around each receiver (see the `size' argument of sample). If this is provided, sample_size samples are taken from this area; otherwise, all values are extracted.

    + + +
    sample_replace
    +

    (optional) If sample_size is specified, sample_replace is a logical input that defines whether to implement sampling with (sample_replace = TRUE, the default) or without (sample_replace = FALSE) replacement (see the `replace' argument of sample).

    -

    Edward Lavender

    -

    Examples

    - 
    #### Define receiver locations as a SpatialPoints object with a UTM CRS
-proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
-proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
-xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
-                        proj_wgs84)
-xy <- sp::spTransform(xy, proj_utm)
+
    sample_probs
    
+
    (optional) If sample_size is specified, sample_probs is a function that calculates the detection probability given the distance (m) between a cell and a receiver.
    
 
-#### Example (1): Extract all depth values within each receiver's container
-depths_by_container <-
-  get_detection_containers_envir(xy = xy,
-                                detection_range = 425,
-                                coastline = dat_coast,
-                                envir = dat_gebco
-                                )
-
    #> flapper::get_detection_containers_envir() called (@ 2022-06-17 10:04:00)... 
-#> ... Implementing function checks... 
-#> ... Defining detection container(s)... 
-#> ... Extracting environmental conditions from detection area(s)... 
    # The function returns a list of dataframes, one for each receiver
-# ... with the cell IDs and the value of the environmental variable
-utils::str(depths_by_container)
-
    #> List of 40
-#>  $ :'data.frame':	5 obs. of  2 variables:
-#>   ..$ cell : num [1:5] 3003 3004 3076 3077 3078
-#>   ..$ envir: num [1:5] 58 69.9 69.2 99.3 107.1
-#>  $ :'data.frame':	3 obs. of  2 variables:
-#>   ..$ cell : num [1:3] 869 870 871
-#>   ..$ envir: num [1:3] 175 167 152
-#>  $ :'data.frame':	3 obs. of  2 variables:
-#>   ..$ cell : num [1:3] 643 644 645
-#>   ..$ envir: num [1:3] 72.1 138.1 141.4
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 3000 3001 3002 3003
-#>   ..$ envir: num [1:4] NA 25.4 29.8 58
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 860 861 862 863
-#>   ..$ envir: num [1:4] 145 157 166 180
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 871 944 945 946
-#>   ..$ envir: num [1:4] 152 176 162 135
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 1067 1068 1069 1142
-#>   ..$ envir: num [1:4] 53.5 48.4 25.2 101.9
-#>  $ :'data.frame':	6 obs. of  2 variables:
-#>   ..$ cell : num [1:6] 1679 1680 1752 1753 1754 ...
-#>   ..$ envir: num [1:6] 49 43.5 56.3 55 46.9 ...
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 1285 1286 1287 1360
-#>   ..$ envir: num [1:4] 14.5 22 22.9 19.3
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 3233 3234 3235 3308
-#>   ..$ envir: num [1:4] 104.9 85.5 61.3 48.5
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 1212 1213 1214 1287
-#>   ..$ envir: num [1:4] 28 28.5 28.8 22.9
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 1681 1682 1683 1755
-#>   ..$ envir: num [1:4] 47.6 25.6 32.5 32.2
-#>  $ :'data.frame':	6 obs. of  2 variables:
-#>   ..$ cell : num [1:6] 3161 3162 3163 3235 3236 ...
-#>   ..$ envir: num [1:6] 104 71.9 47.5 61.3 47.9 ...
-#>  $ :'data.frame':	5 obs. of  2 variables:
-#>   ..$ cell : num [1:5] 3587 3588 3660 3661 3662
-#>   ..$ envir: num [1:5] 107 113 106 108 115
-#>  $ :'data.frame':	5 obs. of  2 variables:
-#>   ..$ cell : num [1:5] 830 831 832 904 905
-#>   ..$ envir: num [1:5] 117.1 118.1 108.7 76.1 84.4
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 3229 3230 3231 3232
-#>   ..$ envir: num [1:4] 68.8 79 107.1 116.5
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 3163 3164 3165 3238
-#>   ..$ envir: num [1:4] 47.5 40.4 32.8 35
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 3153 3154 3155 3156
-#>   ..$ envir: num [1:4] 118.9 112.5 94 84.7
-#>  $ :'data.frame':	5 obs. of  2 variables:
-#>   ..$ cell : num [1:5] 1531 1532 1604 1605 1606
-#>   ..$ envir: num [1:5] 43.8 28.6 55.3 47.2 36.1
-#>  $ :'data.frame':	5 obs. of  2 variables:
-#>   ..$ cell : num [1:5] 2866 2867 2868 2940 2941
-#>   ..$ envir: num [1:5] 135 123 120 130 127
-#>  $ :'data.frame':	6 obs. of  2 variables:
-#>   ..$ cell : num [1:6] 3374 3375 3376 3448 3449 ...
-#>   ..$ envir: num [1:6] 72.1 75.3 90.4 89.9 92.5 ...
-#>  $ :'data.frame':	5 obs. of  2 variables:
-#>   ..$ cell : num [1:5] 1749 1750 1751 1824 1825
-#>   ..$ envir: num [1:5] 50.8 61.5 57.8 64.9 73.1
-#>  $ :'data.frame':	6 obs. of  2 variables:
-#>   ..$ cell : num [1:6] 1222 1223 1224 1296 1297 ...
-#>   ..$ envir: num [1:6] 131 132 133 105 102 ...
-#>  $ :'data.frame':	3 obs. of  2 variables:
-#>   ..$ cell : num [1:3] 794 795 796
-#>   ..$ envir: num [1:3] 179 174 161
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 994 1067 1068 1069
-#>   ..$ envir: num [1:4] NA 53.5 48.4 25.2
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 3230 3231 3232 3305
-#>   ..$ envir: num [1:4] 79 107.1 116.5 89.3
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 1018 1019 1020 1093
-#>   ..$ envir: num [1:4] 159 126.8 83.2 75.9
-#>  $ :'data.frame':	5 obs. of  2 variables:
-#>   ..$ cell : num [1:5] 3087 3088 3161 3162 3163
-#>   ..$ envir: num [1:5] 141.8 114.8 104 71.9 47.5
-#>  $ :'data.frame':	6 obs. of  2 variables:
-#>   ..$ cell : num [1:6] 1137 1138 1139 1211 1212 ...
-#>   ..$ envir: num [1:6] 22.2 21.6 22 20.4 28 ...
-#>  $ :'data.frame':	3 obs. of  2 variables:
-#>   ..$ cell : num [1:3] 1065 1066 1067
-#>   ..$ envir: num [1:3] 57.5 71.6 53.5
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 3079 3080 3081 3154
-#>   ..$ envir: num [1:4] 102 137 142 112
-#>  $ :'data.frame':	3 obs. of  2 variables:
-#>   ..$ cell : num [1:3] 3002 3003 3004
-#>   ..$ envir: num [1:3] 29.8 58 69.9
-#>  $ :'data.frame':	6 obs. of  2 variables:
-#>   ..$ cell : num [1:6] 1898 1899 1900 1972 1973 ...
-#>   ..$ envir: num [1:6] 60 80.7 64.9 45.3 55.8 ...
-#>  $ :'data.frame':	6 obs. of  2 variables:
-#>   ..$ cell : num [1:6] 1895 1896 1897 1969 1970 ...
-#>   ..$ envir: num [1:6] 31.9 32.5 38.5 34.5 33.8 ...
-#>  $ :'data.frame':	6 obs. of  2 variables:
-#>   ..$ cell : num [1:6] 1064 1065 1137 1138 1139 ...
-#>   ..$ envir: num [1:6] 32.7 57.5 22.2 21.6 22 ...
-#>  $ :'data.frame':	5 obs. of  2 variables:
-#>   ..$ cell : num [1:5] 2927 2928 2929 3001 3002
-#>   ..$ envir: num [1:5] NA 14 31.2 25.4 29.8
-#>  $ :'data.frame':	6 obs. of  2 variables:
-#>   ..$ cell : num [1:6] 1210 1211 1212 1213 1285 ...
-#>   ..$ envir: num [1:6] 19 20.4 28 28.5 14.5 ...
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 3165 3166 3167 3168
-#>   ..$ envir: num [1:4] 32.8 47.7 58.5 29.4
-#>  $ :'data.frame':	6 obs. of  2 variables:
-#>   ..$ cell : num [1:6] 3162 3163 3164 3165 3237 ...
-#>   ..$ envir: num [1:6] 71.9 47.5 40.4 32.8 42.8 ...
-#>  $ :'data.frame':	4 obs. of  2 variables:
-#>   ..$ cell : num [1:4] 3232 3233 3234 3307
-#>   ..$ envir: num [1:4] 116.5 104.9 85.5 54.9
    # Collapse the list and compare conditions across receivers
-depths_by_container <-
-  lapply(1:length(depths_by_container), function(i){
-    d <- depths_by_container[[i]]
-    d$receiver_id <- dat_moorings$receiver_id[i]
-    return(d)
-  })
-depths_by_container <- dplyr::bind_rows(depths_by_container)
-prettyGraphics::pretty_boxplot(depths_by_container$receiver_id,
-                               depths_by_container$envir)
-
    #> 'x' co-erced to a factor.
    #> 3 observation pair(s) in x are NA; these are removed.
    
-#### Example (2): Extract a random sample of values
-# (We'll keep the values small for speed)
-depths_by_container <-
-  get_detection_containers_envir(xy = xy,
-                                detection_range = 425,
-                                coastline = dat_coast,
-                                envir = dat_gebco,
-                                sample_size = 2
-                                )
-
    #> flapper::get_detection_containers_envir() called (@ 2022-06-17 10:04:02)... 
-#> ... Implementing function checks... 
-#> ... Defining detection container(s)... 
-#> ... Extracting environmental conditions from detection area(s)... 
    utils::str(depths_by_container)
-
    #> List of 40
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3077 3078
-#>   ..$ envir: num [1:2] 99.3 107.1
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 870 871
-#>   ..$ envir: num [1:2] 167 152
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 643 643
-#>   ..$ envir: num [1:2] 72.1 72.1
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3001 3001
-#>   ..$ envir: num [1:2] 25.4 25.4
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 863 863
-#>   ..$ envir: num [1:2] 180 180
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 944 944
-#>   ..$ envir: num [1:2] 176 176
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1142 1142
-#>   ..$ envir: num [1:2] 102 102
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1679 1754
-#>   ..$ envir: num [1:2] 49 46.9
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1285 1285
-#>   ..$ envir: num [1:2] 14.5 14.5
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3308 3308
-#>   ..$ envir: num [1:2] 48.5 48.5
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1287 1212
-#>   ..$ envir: num [1:2] 22.9 28
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1682 1682
-#>   ..$ envir: num [1:2] 25.6 25.6
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3162 3163
-#>   ..$ envir: num [1:2] 71.9 47.5
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3661 3662
-#>   ..$ envir: num [1:2] 108 115
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 832 832
-#>   ..$ envir: num [1:2] 109 109
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3231 3231
-#>   ..$ envir: num [1:2] 107 107
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3165 3163
-#>   ..$ envir: num [1:2] 32.8 47.5
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3153 3155
-#>   ..$ envir: num [1:2] 119 94
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1605 1531
-#>   ..$ envir: num [1:2] 47.2 43.8
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 2940 2940
-#>   ..$ envir: num [1:2] 130 130
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3375 3376
-#>   ..$ envir: num [1:2] 75.3 90.4
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1749 1749
-#>   ..$ envir: num [1:2] 50.8 50.8
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1296 1296
-#>   ..$ envir: num [1:2] 105 105
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 795 796
-#>   ..$ envir: num [1:2] 174 161
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 994 1068
-#>   ..$ envir: num [1:2] NA 48.4
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3232 3232
-#>   ..$ envir: num [1:2] 116 116
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1093 1019
-#>   ..$ envir: num [1:2] 75.9 126.8
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3162 3087
-#>   ..$ envir: num [1:2] 71.9 141.8
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1138 1137
-#>   ..$ envir: num [1:2] 21.6 22.2
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1065 1067
-#>   ..$ envir: num [1:2] 57.5 53.5
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3081 3081
-#>   ..$ envir: num [1:2] 142 142
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3003 3003
-#>   ..$ envir: num [1:2] 58 58
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1973 1973
-#>   ..$ envir: num [1:2] 55.8 55.8
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1971 1970
-#>   ..$ envir: num [1:2] 36.1 33.8
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1139 1064
-#>   ..$ envir: num [1:2] 22 32.7
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3001 3002
-#>   ..$ envir: num [1:2] 25.4 29.8
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 1213 1213
-#>   ..$ envir: num [1:2] 28.5 28.5
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3167 3166
-#>   ..$ envir: num [1:2] 58.5 47.7
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3164 3165
-#>   ..$ envir: num [1:2] 40.4 32.8
-#>  $ :'data.frame':	2 obs. of  2 variables:
-#>   ..$ cell : num [1:2] 3234 3232
-#>   ..$ envir: num [1:2] 85.5 116.5
    
-#### Example (3) Extract a random sample of values with weighted probabilities
-# Define detection probability function based only on distance
-calc_detection_pr <-
-  function(dist){
-    dpr <- get_detection_pr(distance = dist,
-                            beta_0 = 2.5,
-                            beta_1 = -0.01,
-                            inv_link = stats::plogis,
-                            output = 2L)
-    return(dpr)
-  }
-# Implement sampling with replacement according to detection probability
-depths_by_container <-
-  get_detection_containers_envir(xy = xy,
-                                detection_range = 425,
-                                coastline = dat_coast,
-                                envir = dat_gebco,
-                                sample_size = 2,
-                                sample_probs = calc_detection_pr
-                                )
-
    #> flapper::get_detection_containers_envir() called (@ 2022-06-17 10:04:04)... 
-#> ... Implementing function checks... 
-#> ... Defining detection container(s)... 
-#> ... Extracting environmental conditions from detection area(s)... 
    # Each element of the outputted list includes the 'cell' and 'envir' column
-# ... as well as 'dist' and 'prob' that define the distance of that cell
-# ... from the location in xy and the corresponding detection probability
-# ... at that distance respectively
-utils::str(depths_by_container)
-
    #> List of 40
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3077 3077
-#>   ..$ envir: num [1:2] 99.3 99.3
-#>   ..$ dist : num [1:2] 178 178
-#>   ..$ prob : num [1:2] 0.673 0.673
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 870 869
-#>   ..$ envir: num [1:2] 167 175
-#>   ..$ dist : num [1:2] 4.13 259.21
-#>   ..$ prob : num [1:2] 0.921 0.477
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 644 643
-#>   ..$ envir: num [1:2] 138.1 72.1
-#>   ..$ dist : num [1:2] 54.8 307
-#>   ..$ prob : num [1:2] 0.876 0.361
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3003 3000
-#>   ..$ envir: num [1:2] 58 NA
-#>   ..$ dist : num [1:2] 63.6 397.6
-#>   ..$ prob : num [1:2] 0.866 0.186
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 861 861
-#>   ..$ envir: num [1:2] 157 157
-#>   ..$ dist : num [1:2] 99.8 99.8
-#>   ..$ prob : num [1:2] 0.818 0.818
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 946 945
-#>   ..$ envir: num [1:2] 135 162
-#>   ..$ dist : num [1:2] 202.8 87.7
-#>   ..$ prob : num [1:2] 0.616 0.835
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1069 1068
-#>   ..$ envir: num [1:2] 25.2 48.4
-#>   ..$ dist : num [1:2] 228 56
-#>   ..$ prob : num [1:2] 0.554 0.874
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1754 1754
-#>   ..$ envir: num [1:2] 46.9 46.9
-#>   ..$ dist : num [1:2] 163 163
-#>   ..$ prob : num [1:2] 0.705 0.705
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1286 1285
-#>   ..$ envir: num [1:2] 22 14.5
-#>   ..$ dist : num [1:2] 65.3 214.8
-#>   ..$ prob : num [1:2] 0.864 0.587
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3233 3233
-#>   ..$ envir: num [1:2] 105 105
-#>   ..$ dist : num [1:2] 45.5 45.5
-#>   ..$ prob : num [1:2] 0.885 0.885
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1212 1213
-#>   ..$ envir: num [1:2] 28 28.5
-#>   ..$ dist : num [1:2] 195.2 67.5
-#>   ..$ prob : num [1:2] 0.634 0.861
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1755 1755
-#>   ..$ envir: num [1:2] 32.2 32.2
-#>   ..$ dist : num [1:2] 338 338
-#>   ..$ prob : num [1:2] 0.293 0.293
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3163 3163
-#>   ..$ envir: num [1:2] 47.5 47.5
-#>   ..$ dist : num [1:2] 144 144
-#>   ..$ prob : num [1:2] 0.742 0.742
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3662 3661
-#>   ..$ envir: num [1:2] 115 108
-#>   ..$ dist : num [1:2] 235 125
-#>   ..$ prob : num [1:2] 0.538 0.778
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 830 830
-#>   ..$ envir: num [1:2] 117 117
-#>   ..$ dist : num [1:2] 215 215
-#>   ..$ prob : num [1:2] 0.587 0.587
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3230 3232
-#>   ..$ envir: num [1:2] 79 116
-#>   ..$ dist : num [1:2] 95.5 231.2
-#>   ..$ prob : num [1:2] 0.824 0.547
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3238 3164
-#>   ..$ envir: num [1:2] 35 40.4
-#>   ..$ dist : num [1:2] 370 101
-#>   ..$ prob : num [1:2] 0.231 0.817
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3154 3154
-#>   ..$ envir: num [1:2] 112 112
-#>   ..$ dist : num [1:2] 148 148
-#>   ..$ prob : num [1:2] 0.736 0.736
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1606 1605
-#>   ..$ envir: num [1:2] 36.1 47.2
-#>   ..$ dist : num [1:2] 237 228
-#>   ..$ prob : num [1:2] 0.532 0.555
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 2867 2868
-#>   ..$ envir: num [1:2] 123 120
-#>   ..$ dist : num [1:2] 173 362
-#>   ..$ prob : num [1:2] 0.683 0.246
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3375 3374
-#>   ..$ envir: num [1:2] 75.3 72.1
-#>   ..$ dist : num [1:2] 186 293
-#>   ..$ prob : num [1:2] 0.656 0.394
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1825 1824
-#>   ..$ envir: num [1:2] 73.1 64.9
-#>   ..$ dist : num [1:2] 337 292
-#>   ..$ prob : num [1:2] 0.294 0.398
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1298 1298
-#>   ..$ envir: num [1:2] 105 105
-#>   ..$ dist : num [1:2] 411 411
-#>   ..$ prob : num [1:2] 0.166 0.166
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 795 794
-#>   ..$ envir: num [1:2] 174 179
-#>   ..$ dist : num [1:2] 82.1 177.6
-#>   ..$ prob : num [1:2] 0.843 0.674
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 994 1069
-#>   ..$ envir: num [1:2] NA 25.2
-#>   ..$ dist : num [1:2] 262 228
-#>   ..$ prob : num [1:2] 0.471 0.554
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3231 3230
-#>   ..$ envir: num [1:2] 107 79
-#>   ..$ dist : num [1:2] 65.2 95.5
-#>   ..$ prob : num [1:2] 0.864 0.824
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1020 1019
-#>   ..$ envir: num [1:2] 83.2 126.8
-#>   ..$ dist : num [1:2] 218 141
-#>   ..$ prob : num [1:2] 0.58 0.749
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3163 3163
-#>   ..$ envir: num [1:2] 47.5 47.5
-#>   ..$ dist : num [1:2] 144 144
-#>   ..$ prob : num [1:2] 0.742 0.742
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1137 1137
-#>   ..$ envir: num [1:2] 22.2 22.2
-#>   ..$ dist : num [1:2] 353 353
-#>   ..$ prob : num [1:2] 0.263 0.263
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1066 1066
-#>   ..$ envir: num [1:2] 71.6 71.6
-#>   ..$ dist : num [1:2] 61.9 61.9
-#>   ..$ prob : num [1:2] 0.868 0.868
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3154 3081
-#>   ..$ envir: num [1:2] 112 142
-#>   ..$ dist : num [1:2] 148 265
-#>   ..$ prob : num [1:2] 0.736 0.463
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3002 3002
-#>   ..$ envir: num [1:2] 29.8 29.8
-#>   ..$ dist : num [1:2] 122 122
-#>   ..$ prob : num [1:2] 0.782 0.782
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1899 1973
-#>   ..$ envir: num [1:2] 80.7 55.8
-#>   ..$ dist : num [1:2] 186 281
-#>   ..$ prob : num [1:2] 0.654 0.423
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1969 1970
-#>   ..$ envir: num [1:2] 34.5 33.8
-#>   ..$ dist : num [1:2] 363 234
-#>   ..$ prob : num [1:2] 0.244 0.54
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1138 1139
-#>   ..$ envir: num [1:2] 21.6 22
-#>   ..$ dist : num [1:2] 172 157
-#>   ..$ prob : num [1:2] 0.685 0.717
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3002 3002
-#>   ..$ envir: num [1:2] 29.8 29.8
-#>   ..$ dist : num [1:2] 122 122
-#>   ..$ prob : num [1:2] 0.782 0.782
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1285 1213
-#>   ..$ envir: num [1:2] 14.5 28.5
-#>   ..$ dist : num [1:2] 214.8 67.5
-#>   ..$ prob : num [1:2] 0.587 0.861
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3167 3165
-#>   ..$ envir: num [1:2] 58.5 32.8
-#>   ..$ dist : num [1:2] 121 241
-#>   ..$ prob : num [1:2] 0.784 0.522
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3164 3164
-#>   ..$ envir: num [1:2] 40.4 40.4
-#>   ..$ dist : num [1:2] 101 101
-#>   ..$ prob : num [1:2] 0.817 0.817
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3233 3307
-#>   ..$ envir: num [1:2] 104.9 54.9
-#>   ..$ dist : num [1:2] 45.5 417.6
-#>   ..$ prob : num [1:2] 0.885 0.158
    
-#### Example (4) Sampling without replacement via sample_replace = FALSE
-depths_by_container <-
-  get_detection_containers_envir(xy = xy,
-                                detection_range = 425,
-                                coastline = dat_coast,
-                                envir = dat_gebco,
-                                sample_size = 2,
-                                sample_probs = calc_detection_pr,
-                                sample_replace = FALSE
-                                )
-
    #> flapper::get_detection_containers_envir() called (@ 2022-06-17 10:04:07)... 
-#> ... Implementing function checks... 
-#> ... Defining detection container(s)... 
-#> ... Extracting environmental conditions from detection area(s)... 
    utils::str(depths_by_container)
-
    #> List of 40
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3077 3003
-#>   ..$ envir: num [1:2] 99.3 58
-#>   ..$ dist : num [1:2] 177.7 63.6
-#>   ..$ prob : num [1:2] 0.673 0.866
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 871 870
-#>   ..$ envir: num [1:2] 152 167
-#>   ..$ dist : num [1:2] 254.84 4.13
-#>   ..$ prob : num [1:2] 0.488 0.921
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 644 643
-#>   ..$ envir: num [1:2] 138.1 72.1
-#>   ..$ dist : num [1:2] 54.8 307
-#>   ..$ prob : num [1:2] 0.876 0.361
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3002 3001
-#>   ..$ envir: num [1:2] 29.8 25.4
-#>   ..$ dist : num [1:2] 122 143
-#>   ..$ prob : num [1:2] 0.782 0.744
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 860 862
-#>   ..$ envir: num [1:2] 145 166
-#>   ..$ dist : num [1:2] 357 157
-#>   ..$ prob : num [1:2] 0.256 0.716
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 944 946
-#>   ..$ envir: num [1:2] 176 135
-#>   ..$ dist : num [1:2] 326 203
-#>   ..$ prob : num [1:2] 0.318 0.616
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1068 1142
-#>   ..$ envir: num [1:2] 48.4 101.9
-#>   ..$ dist : num [1:2] 56 419
-#>   ..$ prob : num [1:2] 0.874 0.155
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1753 1679
-#>   ..$ envir: num [1:2] 55 49
-#>   ..$ dist : num [1:2] 173 380
-#>   ..$ prob : num [1:2] 0.684 0.214
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1287 1286
-#>   ..$ envir: num [1:2] 22.9 22
-#>   ..$ dist : num [1:2] 307.4 65.3
-#>   ..$ prob : num [1:2] 0.36 0.864
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3234 3233
-#>   ..$ envir: num [1:2] 85.5 104.9
-#>   ..$ dist : num [1:2] 58.9 45.5
-#>   ..$ prob : num [1:2] 0.871 0.885
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1214 1213
-#>   ..$ envir: num [1:2] 28.8 28.5
-#>   ..$ dist : num [1:2] 214.3 67.5
-#>   ..$ prob : num [1:2] 0.588 0.861
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1682 1755
-#>   ..$ envir: num [1:2] 25.6 32.2
-#>   ..$ dist : num [1:2] 192 338
-#>   ..$ prob : num [1:2] 0.642 0.293
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3162 3235
-#>   ..$ envir: num [1:2] 71.9 61.3
-#>   ..$ dist : num [1:2] 177 247
-#>   ..$ prob : num [1:2] 0.675 0.508
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3660 3587
-#>   ..$ envir: num [1:2] 106 107
-#>   ..$ dist : num [1:2] 329 353
-#>   ..$ prob : num [1:2] 0.313 0.262
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 905 830
-#>   ..$ envir: num [1:2] 84.4 117.1
-#>   ..$ dist : num [1:2] 321 215
-#>   ..$ prob : num [1:2] 0.329 0.587
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3231 3232
-#>   ..$ envir: num [1:2] 107 116
-#>   ..$ dist : num [1:2] 65.2 231.2
-#>   ..$ prob : num [1:2] 0.864 0.547
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3163 3164
-#>   ..$ envir: num [1:2] 47.5 40.4
-#>   ..$ dist : num [1:2] 144 101
-#>   ..$ prob : num [1:2] 0.742 0.817
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3155 3154
-#>   ..$ envir: num [1:2] 94 112
-#>   ..$ dist : num [1:2] 131 148
-#>   ..$ prob : num [1:2] 0.767 0.736
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1531 1605
-#>   ..$ envir: num [1:2] 43.8 47.2
-#>   ..$ dist : num [1:2] 295 228
-#>   ..$ prob : num [1:2] 0.39 0.555
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 2866 2940
-#>   ..$ envir: num [1:2] 135 130
-#>   ..$ dist : num [1:2] 248 358
-#>   ..$ prob : num [1:2] 0.506 0.254
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3450 3375
-#>   ..$ envir: num [1:2] 93.9 75.3
-#>   ..$ dist : num [1:2] 400 186
-#>   ..$ prob : num [1:2] 0.183 0.656
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1751 1825
-#>   ..$ envir: num [1:2] 57.8 73.1
-#>   ..$ dist : num [1:2] 258 337
-#>   ..$ prob : num [1:2] 0.479 0.294
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1297 1223
-#>   ..$ envir: num [1:2] 102 132
-#>   ..$ dist : num [1:2] 273 204
-#>   ..$ prob : num [1:2] 0.443 0.614
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 795 794
-#>   ..$ envir: num [1:2] 174 179
-#>   ..$ dist : num [1:2] 82.1 177.6
-#>   ..$ prob : num [1:2] 0.843 0.674
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1068 1067
-#>   ..$ envir: num [1:2] 48.4 53.5
-#>   ..$ dist : num [1:2] 56 294
-#>   ..$ prob : num [1:2] 0.874 0.393
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3232 3230
-#>   ..$ envir: num [1:2] 116 79
-#>   ..$ dist : num [1:2] 231.2 95.5
-#>   ..$ prob : num [1:2] 0.547 0.824
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1093 1019
-#>   ..$ envir: num [1:2] 75.9 126.8
-#>   ..$ dist : num [1:2] 352 141
-#>   ..$ prob : num [1:2] 0.265 0.749
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3163 3161
-#>   ..$ envir: num [1:2] 47.5 104
-#>   ..$ dist : num [1:2] 144 206
-#>   ..$ prob : num [1:2] 0.742 0.609
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1211 1213
-#>   ..$ envir: num [1:2] 20.4 28.5
-#>   ..$ dist : num [1:2] 196.6 67.5
-#>   ..$ prob : num [1:2] 0.63 0.861
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1066 1065
-#>   ..$ envir: num [1:2] 71.6 57.5
-#>   ..$ dist : num [1:2] 61.9 196.4
-#>   ..$ prob : num [1:2] 0.868 0.631
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3081 3079
-#>   ..$ envir: num [1:2] 142 102
-#>   ..$ dist : num [1:2] 265 283
-#>   ..$ prob : num [1:2] 0.463 0.419
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3002 3003
-#>   ..$ envir: num [1:2] 29.8 58
-#>   ..$ dist : num [1:2] 122.4 63.6
-#>   ..$ prob : num [1:2] 0.782 0.866
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1898 1899
-#>   ..$ envir: num [1:2] 60 80.7
-#>   ..$ dist : num [1:2] 291 186
-#>   ..$ prob : num [1:2] 0.399 0.654
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1970 1896
-#>   ..$ envir: num [1:2] 33.8 32.5
-#>   ..$ dist : num [1:2] 234 231
-#>   ..$ prob : num [1:2] 0.54 0.547
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1140 1139
-#>   ..$ envir: num [1:2] 47.2 22
-#>   ..$ dist : num [1:2] 389 157
-#>   ..$ prob : num [1:2] 0.199 0.717
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3002 2928
-#>   ..$ envir: num [1:2] 29.8 14
-#>   ..$ dist : num [1:2] 122 246
-#>   ..$ prob : num [1:2] 0.782 0.51
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1285 1212
-#>   ..$ envir: num [1:2] 14.5 28
-#>   ..$ dist : num [1:2] 215 195
-#>   ..$ prob : num [1:2] 0.587 0.634
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3167 3166
-#>   ..$ envir: num [1:2] 58.5 47.7
-#>   ..$ dist : num [1:2] 121 136
-#>   ..$ prob : num [1:2] 0.784 0.757
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3163 3165
-#>   ..$ envir: num [1:2] 47.5 32.8
-#>   ..$ dist : num [1:2] 144 241
-#>   ..$ prob : num [1:2] 0.742 0.522
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3233 3234
-#>   ..$ envir: num [1:2] 104.9 85.5
-#>   ..$ dist : num [1:2] 45.5 58.9
-#>   ..$ prob : num [1:2] 0.885 0.871
    
-#### Example (5) Parallelise the algorithm via cl and varlist arguments
-depths_by_container <-
-  get_detection_containers_envir(xy = xy,
-                                detection_range = 425,
-                                coastline = dat_coast,
-                                envir = dat_gebco,
-                                sample_size = 2,
-                                sample_probs = calc_detection_pr,
-                                sample_replace = FALSE,
-                                cl = parallel::makeCluster(2L),
-                                varlist = c("dat_gebco","calc_detection_pr")
-                                )
-
    #> flapper::get_detection_containers_envir() called (@ 2022-06-17 10:04:10)... 
-#> ... Implementing function checks... 
-#> ... Defining detection container(s)... 
-#> ... Extracting environmental conditions from detection area(s)... 
    #> Error in get(name, envir = envir): object 'calc_detection_pr' not found
    utils::str(depths_by_container)
-
    #> List of 40
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3077 3003
-#>   ..$ envir: num [1:2] 99.3 58
-#>   ..$ dist : num [1:2] 177.7 63.6
-#>   ..$ prob : num [1:2] 0.673 0.866
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 871 870
-#>   ..$ envir: num [1:2] 152 167
-#>   ..$ dist : num [1:2] 254.84 4.13
-#>   ..$ prob : num [1:2] 0.488 0.921
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 644 643
-#>   ..$ envir: num [1:2] 138.1 72.1
-#>   ..$ dist : num [1:2] 54.8 307
-#>   ..$ prob : num [1:2] 0.876 0.361
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3002 3001
-#>   ..$ envir: num [1:2] 29.8 25.4
-#>   ..$ dist : num [1:2] 122 143
-#>   ..$ prob : num [1:2] 0.782 0.744
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 860 862
-#>   ..$ envir: num [1:2] 145 166
-#>   ..$ dist : num [1:2] 357 157
-#>   ..$ prob : num [1:2] 0.256 0.716
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 944 946
-#>   ..$ envir: num [1:2] 176 135
-#>   ..$ dist : num [1:2] 326 203
-#>   ..$ prob : num [1:2] 0.318 0.616
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1068 1142
-#>   ..$ envir: num [1:2] 48.4 101.9
-#>   ..$ dist : num [1:2] 56 419
-#>   ..$ prob : num [1:2] 0.874 0.155
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1753 1679
-#>   ..$ envir: num [1:2] 55 49
-#>   ..$ dist : num [1:2] 173 380
-#>   ..$ prob : num [1:2] 0.684 0.214
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1287 1286
-#>   ..$ envir: num [1:2] 22.9 22
-#>   ..$ dist : num [1:2] 307.4 65.3
-#>   ..$ prob : num [1:2] 0.36 0.864
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3234 3233
-#>   ..$ envir: num [1:2] 85.5 104.9
-#>   ..$ dist : num [1:2] 58.9 45.5
-#>   ..$ prob : num [1:2] 0.871 0.885
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1214 1213
-#>   ..$ envir: num [1:2] 28.8 28.5
-#>   ..$ dist : num [1:2] 214.3 67.5
-#>   ..$ prob : num [1:2] 0.588 0.861
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1682 1755
-#>   ..$ envir: num [1:2] 25.6 32.2
-#>   ..$ dist : num [1:2] 192 338
-#>   ..$ prob : num [1:2] 0.642 0.293
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3162 3235
-#>   ..$ envir: num [1:2] 71.9 61.3
-#>   ..$ dist : num [1:2] 177 247
-#>   ..$ prob : num [1:2] 0.675 0.508
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3660 3587
-#>   ..$ envir: num [1:2] 106 107
-#>   ..$ dist : num [1:2] 329 353
-#>   ..$ prob : num [1:2] 0.313 0.262
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 905 830
-#>   ..$ envir: num [1:2] 84.4 117.1
-#>   ..$ dist : num [1:2] 321 215
-#>   ..$ prob : num [1:2] 0.329 0.587
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3231 3232
-#>   ..$ envir: num [1:2] 107 116
-#>   ..$ dist : num [1:2] 65.2 231.2
-#>   ..$ prob : num [1:2] 0.864 0.547
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3163 3164
-#>   ..$ envir: num [1:2] 47.5 40.4
-#>   ..$ dist : num [1:2] 144 101
-#>   ..$ prob : num [1:2] 0.742 0.817
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3155 3154
-#>   ..$ envir: num [1:2] 94 112
-#>   ..$ dist : num [1:2] 131 148
-#>   ..$ prob : num [1:2] 0.767 0.736
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1531 1605
-#>   ..$ envir: num [1:2] 43.8 47.2
-#>   ..$ dist : num [1:2] 295 228
-#>   ..$ prob : num [1:2] 0.39 0.555
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 2866 2940
-#>   ..$ envir: num [1:2] 135 130
-#>   ..$ dist : num [1:2] 248 358
-#>   ..$ prob : num [1:2] 0.506 0.254
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3450 3375
-#>   ..$ envir: num [1:2] 93.9 75.3
-#>   ..$ dist : num [1:2] 400 186
-#>   ..$ prob : num [1:2] 0.183 0.656
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1751 1825
-#>   ..$ envir: num [1:2] 57.8 73.1
-#>   ..$ dist : num [1:2] 258 337
-#>   ..$ prob : num [1:2] 0.479 0.294
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1297 1223
-#>   ..$ envir: num [1:2] 102 132
-#>   ..$ dist : num [1:2] 273 204
-#>   ..$ prob : num [1:2] 0.443 0.614
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 795 794
-#>   ..$ envir: num [1:2] 174 179
-#>   ..$ dist : num [1:2] 82.1 177.6
-#>   ..$ prob : num [1:2] 0.843 0.674
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1068 1067
-#>   ..$ envir: num [1:2] 48.4 53.5
-#>   ..$ dist : num [1:2] 56 294
-#>   ..$ prob : num [1:2] 0.874 0.393
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3232 3230
-#>   ..$ envir: num [1:2] 116 79
-#>   ..$ dist : num [1:2] 231.2 95.5
-#>   ..$ prob : num [1:2] 0.547 0.824
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1093 1019
-#>   ..$ envir: num [1:2] 75.9 126.8
-#>   ..$ dist : num [1:2] 352 141
-#>   ..$ prob : num [1:2] 0.265 0.749
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3163 3161
-#>   ..$ envir: num [1:2] 47.5 104
-#>   ..$ dist : num [1:2] 144 206
-#>   ..$ prob : num [1:2] 0.742 0.609
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1211 1213
-#>   ..$ envir: num [1:2] 20.4 28.5
-#>   ..$ dist : num [1:2] 196.6 67.5
-#>   ..$ prob : num [1:2] 0.63 0.861
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1066 1065
-#>   ..$ envir: num [1:2] 71.6 57.5
-#>   ..$ dist : num [1:2] 61.9 196.4
-#>   ..$ prob : num [1:2] 0.868 0.631
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3081 3079
-#>   ..$ envir: num [1:2] 142 102
-#>   ..$ dist : num [1:2] 265 283
-#>   ..$ prob : num [1:2] 0.463 0.419
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3002 3003
-#>   ..$ envir: num [1:2] 29.8 58
-#>   ..$ dist : num [1:2] 122.4 63.6
-#>   ..$ prob : num [1:2] 0.782 0.866
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1898 1899
-#>   ..$ envir: num [1:2] 60 80.7
-#>   ..$ dist : num [1:2] 291 186
-#>   ..$ prob : num [1:2] 0.399 0.654
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1970 1896
-#>   ..$ envir: num [1:2] 33.8 32.5
-#>   ..$ dist : num [1:2] 234 231
-#>   ..$ prob : num [1:2] 0.54 0.547
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1140 1139
-#>   ..$ envir: num [1:2] 47.2 22
-#>   ..$ dist : num [1:2] 389 157
-#>   ..$ prob : num [1:2] 0.199 0.717
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3002 2928
-#>   ..$ envir: num [1:2] 29.8 14
-#>   ..$ dist : num [1:2] 122 246
-#>   ..$ prob : num [1:2] 0.782 0.51
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 1285 1212
-#>   ..$ envir: num [1:2] 14.5 28
-#>   ..$ dist : num [1:2] 215 195
-#>   ..$ prob : num [1:2] 0.587 0.634
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3167 3166
-#>   ..$ envir: num [1:2] 58.5 47.7
-#>   ..$ dist : num [1:2] 121 136
-#>   ..$ prob : num [1:2] 0.784 0.757
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3163 3165
-#>   ..$ envir: num [1:2] 47.5 32.8
-#>   ..$ dist : num [1:2] 144 241
-#>   ..$ prob : num [1:2] 0.742 0.522
-#>  $ :'data.frame':	2 obs. of  4 variables:
-#>   ..$ cell : num [1:2] 3233 3234
-#>   ..$ envir: num [1:2] 104.9 85.5
-#>   ..$ dist : num [1:2] 45.5 58.9
-#>   ..$ prob : num [1:2] 0.885 0.871
    
-
    + +
    cl, varlist
    +

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    + + +
    verbose
    +

    A logical variable that defines whether or not relay messages to the console to monitor function progress.

    + +
    +
    +

    Value

    + + +

    The function returns a list of dataframes (one for each element in xy; i.e., each receiver), each of which includes the cell IDs of envir from which values were extracted (`cell'), the value of the environmental variable in that cell (`envir') and, if applicable, the distance between that cell and the receiver (`dist', m) and the detection probability in that cell (`prob').

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    + +
    +

    Examples

    + 
    #### Define receiver locations as a SpatialPoints object with a UTM CRS
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
+xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
+                        proj_wgs84)
+xy <- sp::spTransform(xy, proj_utm)
+
+#### Example (1): Extract all depth values within each receiver's container
+depths_by_container <-
+  get_detection_containers_envir(xy = xy,
+                                detection_range = 425,
+                                coastline = dat_coast,
+                                envir = dat_gebco
+                                )
+#> flapper::get_detection_containers_envir() called (@ 2023-02-19 14:59:21)... 
+#> ... Implementing function checks... 
+#> ... Defining detection container(s)... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> ... Extracting environmental conditions from detection area(s)... 
+# The function returns a list of dataframes, one for each receiver
+# ... with the cell IDs and the value of the environmental variable
+utils::str(depths_by_container)
+#> List of 40
+#>  $ :'data.frame':	5 obs. of  2 variables:
+#>   ..$ cell : num [1:5] 3003 3004 3076 3077 3078
+#>   ..$ envir: num [1:5] 58 69.9 69.2 99.3 107.1
+#>  $ :'data.frame':	3 obs. of  2 variables:
+#>   ..$ cell : num [1:3] 869 870 871
+#>   ..$ envir: num [1:3] 175 167 152
+#>  $ :'data.frame':	3 obs. of  2 variables:
+#>   ..$ cell : num [1:3] 643 644 645
+#>   ..$ envir: num [1:3] 72.1 138.1 141.4
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 3000 3001 3002 3003
+#>   ..$ envir: num [1:4] NA 25.4 29.8 58
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 860 861 862 863
+#>   ..$ envir: num [1:4] 145 157 166 180
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 871 944 945 946
+#>   ..$ envir: num [1:4] 152 176 162 135
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 1067 1068 1069 1142
+#>   ..$ envir: num [1:4] 53.5 48.4 25.2 101.9
+#>  $ :'data.frame':	6 obs. of  2 variables:
+#>   ..$ cell : num [1:6] 1679 1680 1752 1753 1754 ...
+#>   ..$ envir: num [1:6] 49 43.5 56.3 55 46.9 ...
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 1285 1286 1287 1360
+#>   ..$ envir: num [1:4] 14.5 22 22.9 19.3
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 3233 3234 3235 3308
+#>   ..$ envir: num [1:4] 104.9 85.5 61.3 48.5
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 1212 1213 1214 1287
+#>   ..$ envir: num [1:4] 28 28.5 28.8 22.9
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 1681 1682 1683 1755
+#>   ..$ envir: num [1:4] 47.6 25.6 32.5 32.2
+#>  $ :'data.frame':	6 obs. of  2 variables:
+#>   ..$ cell : num [1:6] 3161 3162 3163 3235 3236 ...
+#>   ..$ envir: num [1:6] 104 71.9 47.5 61.3 47.9 ...
+#>  $ :'data.frame':	5 obs. of  2 variables:
+#>   ..$ cell : num [1:5] 3587 3588 3660 3661 3662
+#>   ..$ envir: num [1:5] 107 113 106 108 115
+#>  $ :'data.frame':	5 obs. of  2 variables:
+#>   ..$ cell : num [1:5] 830 831 832 904 905
+#>   ..$ envir: num [1:5] 117.1 118.1 108.7 76.1 84.4
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 3229 3230 3231 3232
+#>   ..$ envir: num [1:4] 68.8 79 107.1 116.5
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 3163 3164 3165 3238
+#>   ..$ envir: num [1:4] 47.5 40.4 32.8 35
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 3153 3154 3155 3156
+#>   ..$ envir: num [1:4] 118.9 112.5 94 84.7
+#>  $ :'data.frame':	5 obs. of  2 variables:
+#>   ..$ cell : num [1:5] 1531 1532 1604 1605 1606
+#>   ..$ envir: num [1:5] 43.8 28.6 55.3 47.2 36.1
+#>  $ :'data.frame':	5 obs. of  2 variables:
+#>   ..$ cell : num [1:5] 2866 2867 2868 2940 2941
+#>   ..$ envir: num [1:5] 135 123 120 130 127
+#>  $ :'data.frame':	6 obs. of  2 variables:
+#>   ..$ cell : num [1:6] 3374 3375 3376 3448 3449 ...
+#>   ..$ envir: num [1:6] 72.1 75.3 90.4 89.9 92.5 ...
+#>  $ :'data.frame':	5 obs. of  2 variables:
+#>   ..$ cell : num [1:5] 1749 1750 1751 1824 1825
+#>   ..$ envir: num [1:5] 50.8 61.5 57.8 64.9 73.1
+#>  $ :'data.frame':	6 obs. of  2 variables:
+#>   ..$ cell : num [1:6] 1222 1223 1224 1296 1297 ...
+#>   ..$ envir: num [1:6] 131 132 133 105 102 ...
+#>  $ :'data.frame':	3 obs. of  2 variables:
+#>   ..$ cell : num [1:3] 794 795 796
+#>   ..$ envir: num [1:3] 179 174 161
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 994 1067 1068 1069
+#>   ..$ envir: num [1:4] NA 53.5 48.4 25.2
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 3230 3231 3232 3305
+#>   ..$ envir: num [1:4] 79 107.1 116.5 89.3
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 1018 1019 1020 1093
+#>   ..$ envir: num [1:4] 159 126.8 83.2 75.9
+#>  $ :'data.frame':	5 obs. of  2 variables:
+#>   ..$ cell : num [1:5] 3087 3088 3161 3162 3163
+#>   ..$ envir: num [1:5] 141.8 114.8 104 71.9 47.5
+#>  $ :'data.frame':	6 obs. of  2 variables:
+#>   ..$ cell : num [1:6] 1137 1138 1139 1211 1212 ...
+#>   ..$ envir: num [1:6] 22.2 21.6 22 20.4 28 ...
+#>  $ :'data.frame':	3 obs. of  2 variables:
+#>   ..$ cell : num [1:3] 1065 1066 1067
+#>   ..$ envir: num [1:3] 57.5 71.6 53.5
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 3079 3080 3081 3154
+#>   ..$ envir: num [1:4] 102 137 142 112
+#>  $ :'data.frame':	3 obs. of  2 variables:
+#>   ..$ cell : num [1:3] 3002 3003 3004
+#>   ..$ envir: num [1:3] 29.8 58 69.9
+#>  $ :'data.frame':	6 obs. of  2 variables:
+#>   ..$ cell : num [1:6] 1898 1899 1900 1972 1973 ...
+#>   ..$ envir: num [1:6] 60 80.7 64.9 45.3 55.8 ...
+#>  $ :'data.frame':	6 obs. of  2 variables:
+#>   ..$ cell : num [1:6] 1895 1896 1897 1969 1970 ...
+#>   ..$ envir: num [1:6] 31.9 32.5 38.5 34.5 33.8 ...
+#>  $ :'data.frame':	6 obs. of  2 variables:
+#>   ..$ cell : num [1:6] 1064 1065 1137 1138 1139 ...
+#>   ..$ envir: num [1:6] 32.7 57.5 22.2 21.6 22 ...
+#>  $ :'data.frame':	5 obs. of  2 variables:
+#>   ..$ cell : num [1:5] 2927 2928 2929 3001 3002
+#>   ..$ envir: num [1:5] NA 14 31.2 25.4 29.8
+#>  $ :'data.frame':	6 obs. of  2 variables:
+#>   ..$ cell : num [1:6] 1210 1211 1212 1213 1285 ...
+#>   ..$ envir: num [1:6] 19 20.4 28 28.5 14.5 ...
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 3165 3166 3167 3168
+#>   ..$ envir: num [1:4] 32.8 47.7 58.5 29.4
+#>  $ :'data.frame':	6 obs. of  2 variables:
+#>   ..$ cell : num [1:6] 3162 3163 3164 3165 3237 ...
+#>   ..$ envir: num [1:6] 71.9 47.5 40.4 32.8 42.8 ...
+#>  $ :'data.frame':	4 obs. of  2 variables:
+#>   ..$ cell : num [1:4] 3232 3233 3234 3307
+#>   ..$ envir: num [1:4] 116.5 104.9 85.5 54.9
+# Collapse the list and compare conditions across receivers
+depths_by_container <-
+  lapply(1:length(depths_by_container), function(i){
+    d <- depths_by_container[[i]]
+    d$receiver_id <- dat_moorings$receiver_id[i]
+    return(d)
+  })
+depths_by_container <- dplyr::bind_rows(depths_by_container)
+prettyGraphics::pretty_boxplot(depths_by_container$receiver_id,
+                               depths_by_container$envir)
+#> 'x' co-erced to a factor.
+#> 3 observation pair(s) in x are NA; these are removed.
+
+
+#### Example (2): Extract a random sample of values
+# (We'll keep the values small for speed)
+depths_by_container <-
+  get_detection_containers_envir(xy = xy,
+                                detection_range = 425,
+                                coastline = dat_coast,
+                                envir = dat_gebco,
+                                sample_size = 2
+                                )
+#> flapper::get_detection_containers_envir() called (@ 2023-02-19 14:59:22)... 
+#> ... Implementing function checks... 
+#> ... Defining detection container(s)... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> ... Extracting environmental conditions from detection area(s)... 
+utils::str(depths_by_container)
+#> List of 40
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3004 3076
+#>   ..$ envir: num [1:2] 69.9 69.2
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 871 870
+#>   ..$ envir: num [1:2] 152 167
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 643 644
+#>   ..$ envir: num [1:2] 72.1 138.1
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3002 3001
+#>   ..$ envir: num [1:2] 29.8 25.4
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 860 863
+#>   ..$ envir: num [1:2] 145 180
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 945 945
+#>   ..$ envir: num [1:2] 162 162
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1069 1068
+#>   ..$ envir: num [1:2] 25.2 48.4
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1755 1754
+#>   ..$ envir: num [1:2] 32.2 46.9
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1360 1286
+#>   ..$ envir: num [1:2] 19.3 22
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3234 3233
+#>   ..$ envir: num [1:2] 85.5 104.9
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1212 1287
+#>   ..$ envir: num [1:2] 28 22.9
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1683 1682
+#>   ..$ envir: num [1:2] 32.5 25.6
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3237 3235
+#>   ..$ envir: num [1:2] 42.8 61.3
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3662 3660
+#>   ..$ envir: num [1:2] 115 106
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 832 904
+#>   ..$ envir: num [1:2] 108.7 76.1
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3229 3229
+#>   ..$ envir: num [1:2] 68.8 68.8
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3164 3164
+#>   ..$ envir: num [1:2] 40.4 40.4
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3154 3153
+#>   ..$ envir: num [1:2] 112 119
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1605 1531
+#>   ..$ envir: num [1:2] 47.2 43.8
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 2866 2867
+#>   ..$ envir: num [1:2] 135 123
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3450 3375
+#>   ..$ envir: num [1:2] 93.9 75.3
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1749 1825
+#>   ..$ envir: num [1:2] 50.8 73.1
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1297 1296
+#>   ..$ envir: num [1:2] 102 105
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 795 794
+#>   ..$ envir: num [1:2] 174 179
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1068 1068
+#>   ..$ envir: num [1:2] 48.4 48.4
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3305 3232
+#>   ..$ envir: num [1:2] 89.3 116.5
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1018 1018
+#>   ..$ envir: num [1:2] 159 159
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3162 3161
+#>   ..$ envir: num [1:2] 71.9 104
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1139 1138
+#>   ..$ envir: num [1:2] 22 21.6
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1067 1065
+#>   ..$ envir: num [1:2] 53.5 57.5
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3080 3080
+#>   ..$ envir: num [1:2] 137 137
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3004 3002
+#>   ..$ envir: num [1:2] 69.9 29.8
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1974 1899
+#>   ..$ envir: num [1:2] 44.7 80.7
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1969 1969
+#>   ..$ envir: num [1:2] 34.5 34.5
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1139 1137
+#>   ..$ envir: num [1:2] 22 22.2
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 2927 2929
+#>   ..$ envir: num [1:2] NA 31.2
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 1210 1286
+#>   ..$ envir: num [1:2] 19 22
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3167 3168
+#>   ..$ envir: num [1:2] 58.5 29.4
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3237 3165
+#>   ..$ envir: num [1:2] 42.8 32.8
+#>  $ :'data.frame':	2 obs. of  2 variables:
+#>   ..$ cell : num [1:2] 3307 3234
+#>   ..$ envir: num [1:2] 54.9 85.5
+
+#### Example (3) Extract a random sample of values with weighted probabilities
+# Define detection probability function based only on distance
+calc_detection_pr <-
+  function(dist){
+    dpr <- get_detection_pr(distance = dist,
+                            beta_0 = 2.5,
+                            beta_1 = -0.01,
+                            inv_link = stats::plogis,
+                            output = 2L)
+    return(dpr)
+  }
+# Implement sampling with replacement according to detection probability
+depths_by_container <-
+  get_detection_containers_envir(xy = xy,
+                                detection_range = 425,
+                                coastline = dat_coast,
+                                envir = dat_gebco,
+                                sample_size = 2,
+                                sample_probs = calc_detection_pr
+                                )
+#> flapper::get_detection_containers_envir() called (@ 2023-02-19 14:59:23)... 
+#> ... Implementing function checks... 
+#> ... Defining detection container(s)... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> ... Extracting environmental conditions from detection area(s)... 
+# Each element of the outputted list includes the 'cell' and 'envir' column
+# ... as well as 'dist' and 'prob' that define the distance of that cell
+# ... from the location in xy and the corresponding detection probability
+# ... at that distance respectively
+utils::str(depths_by_container)
+#> List of 40
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3077 3077
+#>   ..$ envir: num [1:2] 99.3 99.3
+#>   ..$ dist : num [1:2] 178 178
+#>   ..$ prob : num [1:2] 0.673 0.673
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 869 870
+#>   ..$ envir: num [1:2] 175 167
+#>   ..$ dist : num [1:2] 259.21 4.13
+#>   ..$ prob : num [1:2] 0.477 0.921
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 643 645
+#>   ..$ envir: num [1:2] 72.1 141.4
+#>   ..$ dist : num [1:2] 307 209
+#>   ..$ prob : num [1:2] 0.361 0.6
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3003 3001
+#>   ..$ envir: num [1:2] 58 25.4
+#>   ..$ dist : num [1:2] 63.6 143.1
+#>   ..$ prob : num [1:2] 0.866 0.744
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 861 862
+#>   ..$ envir: num [1:2] 157 166
+#>   ..$ dist : num [1:2] 99.8 157.3
+#>   ..$ prob : num [1:2] 0.818 0.716
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 944 945
+#>   ..$ envir: num [1:2] 176 162
+#>   ..$ dist : num [1:2] 326.1 87.7
+#>   ..$ prob : num [1:2] 0.318 0.835
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1069 1068
+#>   ..$ envir: num [1:2] 25.2 48.4
+#>   ..$ dist : num [1:2] 228 56
+#>   ..$ prob : num [1:2] 0.554 0.874
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1753 1753
+#>   ..$ envir: num [1:2] 55 55
+#>   ..$ dist : num [1:2] 173 173
+#>   ..$ prob : num [1:2] 0.684 0.684
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1286 1285
+#>   ..$ envir: num [1:2] 22 14.5
+#>   ..$ dist : num [1:2] 65.3 214.8
+#>   ..$ prob : num [1:2] 0.864 0.587
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3235 3234
+#>   ..$ envir: num [1:2] 61.3 85.5
+#>   ..$ dist : num [1:2] 247 58.9
+#>   ..$ prob : num [1:2] 0.508 0.871
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1214 1214
+#>   ..$ envir: num [1:2] 28.8 28.8
+#>   ..$ dist : num [1:2] 214 214
+#>   ..$ prob : num [1:2] 0.588 0.588
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1682 1682
+#>   ..$ envir: num [1:2] 25.6 25.6
+#>   ..$ dist : num [1:2] 192 192
+#>   ..$ prob : num [1:2] 0.642 0.642
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3161 3162
+#>   ..$ envir: num [1:2] 104 71.9
+#>   ..$ dist : num [1:2] 206 177
+#>   ..$ prob : num [1:2] 0.609 0.675
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3662 3660
+#>   ..$ envir: num [1:2] 115 106
+#>   ..$ dist : num [1:2] 235 329
+#>   ..$ prob : num [1:2] 0.538 0.313
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 830 830
+#>   ..$ envir: num [1:2] 117 117
+#>   ..$ dist : num [1:2] 215 215
+#>   ..$ prob : num [1:2] 0.587 0.587
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3229 3231
+#>   ..$ envir: num [1:2] 68.8 107.1
+#>   ..$ dist : num [1:2] 352.4 65.2
+#>   ..$ prob : num [1:2] 0.264 0.864
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3163 3163
+#>   ..$ envir: num [1:2] 47.5 47.5
+#>   ..$ dist : num [1:2] 144 144
+#>   ..$ prob : num [1:2] 0.742 0.742
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3156 3154
+#>   ..$ envir: num [1:2] 84.7 112.5
+#>   ..$ dist : num [1:2] 380 148
+#>   ..$ prob : num [1:2] 0.214 0.736
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1606 1605
+#>   ..$ envir: num [1:2] 36.1 47.2
+#>   ..$ dist : num [1:2] 237 228
+#>   ..$ prob : num [1:2] 0.532 0.555
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 2867 2867
+#>   ..$ envir: num [1:2] 123 123
+#>   ..$ dist : num [1:2] 173 173
+#>   ..$ prob : num [1:2] 0.683 0.683
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3450 3450
+#>   ..$ envir: num [1:2] 93.9 93.9
+#>   ..$ dist : num [1:2] 400 400
+#>   ..$ prob : num [1:2] 0.183 0.183
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1824 1825
+#>   ..$ envir: num [1:2] 64.9 73.1
+#>   ..$ dist : num [1:2] 292 337
+#>   ..$ prob : num [1:2] 0.398 0.294
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1222 1222
+#>   ..$ envir: num [1:2] 131 131
+#>   ..$ dist : num [1:2] 281 281
+#>   ..$ prob : num [1:2] 0.423 0.423
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 795 796
+#>   ..$ envir: num [1:2] 174 161
+#>   ..$ dist : num [1:2] 82.1 337.7
+#>   ..$ prob : num [1:2] 0.843 0.294
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1069 1068
+#>   ..$ envir: num [1:2] 25.2 48.4
+#>   ..$ dist : num [1:2] 228 56
+#>   ..$ prob : num [1:2] 0.554 0.874
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3231 3305
+#>   ..$ envir: num [1:2] 107.1 89.3
+#>   ..$ dist : num [1:2] 65.2 407.9
+#>   ..$ prob : num [1:2] 0.864 0.171
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1020 1020
+#>   ..$ envir: num [1:2] 83.2 83.2
+#>   ..$ dist : num [1:2] 218 218
+#>   ..$ prob : num [1:2] 0.58 0.58
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3161 3162
+#>   ..$ envir: num [1:2] 104 71.9
+#>   ..$ dist : num [1:2] 206 177
+#>   ..$ prob : num [1:2] 0.609 0.675
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1137 1138
+#>   ..$ envir: num [1:2] 22.2 21.6
+#>   ..$ dist : num [1:2] 353 172
+#>   ..$ prob : num [1:2] 0.263 0.685
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1065 1067
+#>   ..$ envir: num [1:2] 57.5 53.5
+#>   ..$ dist : num [1:2] 196 294
+#>   ..$ prob : num [1:2] 0.631 0.393
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3079 3154
+#>   ..$ envir: num [1:2] 102 112
+#>   ..$ dist : num [1:2] 283 148
+#>   ..$ prob : num [1:2] 0.419 0.736
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3003 3002
+#>   ..$ envir: num [1:2] 58 29.8
+#>   ..$ dist : num [1:2] 63.6 122.4
+#>   ..$ prob : num [1:2] 0.866 0.782
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1899 1972
+#>   ..$ envir: num [1:2] 80.7 45.3
+#>   ..$ dist : num [1:2] 186 359
+#>   ..$ prob : num [1:2] 0.654 0.251
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1896 1897
+#>   ..$ envir: num [1:2] 32.5 38.5
+#>   ..$ dist : num [1:2] 231 329
+#>   ..$ prob : num [1:2] 0.547 0.312
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1138 1065
+#>   ..$ envir: num [1:2] 21.6 57.5
+#>   ..$ dist : num [1:2] 172 196
+#>   ..$ prob : num [1:2] 0.685 0.631
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3001 2928
+#>   ..$ envir: num [1:2] 25.4 14
+#>   ..$ dist : num [1:2] 143 246
+#>   ..$ prob : num [1:2] 0.744 0.51
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1212 1212
+#>   ..$ envir: num [1:2] 28 28
+#>   ..$ dist : num [1:2] 195 195
+#>   ..$ prob : num [1:2] 0.634 0.634
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3165 3165
+#>   ..$ envir: num [1:2] 32.8 32.8
+#>   ..$ dist : num [1:2] 241 241
+#>   ..$ prob : num [1:2] 0.522 0.522
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3162 3163
+#>   ..$ envir: num [1:2] 71.9 47.5
+#>   ..$ dist : num [1:2] 177 144
+#>   ..$ prob : num [1:2] 0.675 0.742
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3233 3234
+#>   ..$ envir: num [1:2] 104.9 85.5
+#>   ..$ dist : num [1:2] 45.5 58.9
+#>   ..$ prob : num [1:2] 0.885 0.871
+
+#### Example (4) Sampling without replacement via sample_replace = FALSE
+depths_by_container <-
+  get_detection_containers_envir(xy = xy,
+                                detection_range = 425,
+                                coastline = dat_coast,
+                                envir = dat_gebco,
+                                sample_size = 2,
+                                sample_probs = calc_detection_pr,
+                                sample_replace = FALSE
+                                )
+#> flapper::get_detection_containers_envir() called (@ 2023-02-19 14:59:25)... 
+#> ... Implementing function checks... 
+#> ... Defining detection container(s)... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> ... Extracting environmental conditions from detection area(s)... 
+utils::str(depths_by_container)
+#> List of 40
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3003 3077
+#>   ..$ envir: num [1:2] 58 99.3
+#>   ..$ dist : num [1:2] 63.6 177.7
+#>   ..$ prob : num [1:2] 0.866 0.673
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 870 869
+#>   ..$ envir: num [1:2] 167 175
+#>   ..$ dist : num [1:2] 4.13 259.21
+#>   ..$ prob : num [1:2] 0.921 0.477
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 643 645
+#>   ..$ envir: num [1:2] 72.1 141.4
+#>   ..$ dist : num [1:2] 307 209
+#>   ..$ prob : num [1:2] 0.361 0.6
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3001 3000
+#>   ..$ envir: num [1:2] 25.4 NA
+#>   ..$ dist : num [1:2] 143 398
+#>   ..$ prob : num [1:2] 0.744 0.186
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 862 861
+#>   ..$ envir: num [1:2] 166 157
+#>   ..$ dist : num [1:2] 157.3 99.8
+#>   ..$ prob : num [1:2] 0.716 0.818
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 945 871
+#>   ..$ envir: num [1:2] 162 152
+#>   ..$ dist : num [1:2] 87.7 254.8
+#>   ..$ prob : num [1:2] 0.835 0.488
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1067 1069
+#>   ..$ envir: num [1:2] 53.5 25.2
+#>   ..$ dist : num [1:2] 294 228
+#>   ..$ prob : num [1:2] 0.393 0.554
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1754 1755
+#>   ..$ envir: num [1:2] 46.9 32.2
+#>   ..$ dist : num [1:2] 163 338
+#>   ..$ prob : num [1:2] 0.705 0.293
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1285 1286
+#>   ..$ envir: num [1:2] 14.5 22
+#>   ..$ dist : num [1:2] 214.8 65.3
+#>   ..$ prob : num [1:2] 0.587 0.864
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3233 3235
+#>   ..$ envir: num [1:2] 104.9 61.3
+#>   ..$ dist : num [1:2] 45.5 247
+#>   ..$ prob : num [1:2] 0.885 0.508
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1213 1214
+#>   ..$ envir: num [1:2] 28.5 28.8
+#>   ..$ dist : num [1:2] 67.5 214.3
+#>   ..$ prob : num [1:2] 0.861 0.588
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1681 1682
+#>   ..$ envir: num [1:2] 47.6 25.6
+#>   ..$ dist : num [1:2] 230 192
+#>   ..$ prob : num [1:2] 0.55 0.642
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3236 3163
+#>   ..$ envir: num [1:2] 47.9 47.5
+#>   ..$ dist : num [1:2] 212 144
+#>   ..$ prob : num [1:2] 0.594 0.742
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3661 3662
+#>   ..$ envir: num [1:2] 108 115
+#>   ..$ dist : num [1:2] 125 235
+#>   ..$ prob : num [1:2] 0.778 0.538
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 831 830
+#>   ..$ envir: num [1:2] 118 117
+#>   ..$ dist : num [1:2] 204 215
+#>   ..$ prob : num [1:2] 0.614 0.587
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3232 3230
+#>   ..$ envir: num [1:2] 116 79
+#>   ..$ dist : num [1:2] 231.2 95.5
+#>   ..$ prob : num [1:2] 0.547 0.824
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3163 3165
+#>   ..$ envir: num [1:2] 47.5 32.8
+#>   ..$ dist : num [1:2] 144 241
+#>   ..$ prob : num [1:2] 0.742 0.522
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3155 3153
+#>   ..$ envir: num [1:2] 94 119
+#>   ..$ dist : num [1:2] 131 398
+#>   ..$ prob : num [1:2] 0.767 0.185
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1605 1604
+#>   ..$ envir: num [1:2] 47.2 55.3
+#>   ..$ dist : num [1:2] 228 424
+#>   ..$ prob : num [1:2] 0.555 0.15
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 2940 2866
+#>   ..$ envir: num [1:2] 130 135
+#>   ..$ dist : num [1:2] 358 248
+#>   ..$ prob : num [1:2] 0.254 0.506
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3376 3375
+#>   ..$ envir: num [1:2] 90.4 75.3
+#>   ..$ dist : num [1:2] 339 186
+#>   ..$ prob : num [1:2] 0.291 0.656
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1825 1750
+#>   ..$ envir: num [1:2] 73.1 61.5
+#>   ..$ dist : num [1:2] 337 194
+#>   ..$ prob : num [1:2] 0.294 0.635
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1222 1223
+#>   ..$ envir: num [1:2] 131 132
+#>   ..$ dist : num [1:2] 281 204
+#>   ..$ prob : num [1:2] 0.423 0.614
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 794 795
+#>   ..$ envir: num [1:2] 179 174
+#>   ..$ dist : num [1:2] 177.6 82.1
+#>   ..$ prob : num [1:2] 0.674 0.843
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1068 1069
+#>   ..$ envir: num [1:2] 48.4 25.2
+#>   ..$ dist : num [1:2] 56 228
+#>   ..$ prob : num [1:2] 0.874 0.554
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3232 3230
+#>   ..$ envir: num [1:2] 116 79
+#>   ..$ dist : num [1:2] 231.2 95.5
+#>   ..$ prob : num [1:2] 0.547 0.824
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1020 1019
+#>   ..$ envir: num [1:2] 83.2 126.8
+#>   ..$ dist : num [1:2] 218 141
+#>   ..$ prob : num [1:2] 0.58 0.749
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3161 3163
+#>   ..$ envir: num [1:2] 104 47.5
+#>   ..$ dist : num [1:2] 206 144
+#>   ..$ prob : num [1:2] 0.609 0.742
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1211 1139
+#>   ..$ envir: num [1:2] 20.4 22
+#>   ..$ dist : num [1:2] 197 157
+#>   ..$ prob : num [1:2] 0.63 0.717
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1066 1065
+#>   ..$ envir: num [1:2] 71.6 57.5
+#>   ..$ dist : num [1:2] 61.9 196.4
+#>   ..$ prob : num [1:2] 0.868 0.631
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3079 3154
+#>   ..$ envir: num [1:2] 102 112
+#>   ..$ dist : num [1:2] 283 148
+#>   ..$ prob : num [1:2] 0.419 0.736
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3003 3002
+#>   ..$ envir: num [1:2] 58 29.8
+#>   ..$ dist : num [1:2] 63.6 122.4
+#>   ..$ prob : num [1:2] 0.866 0.782
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1899 1973
+#>   ..$ envir: num [1:2] 80.7 55.8
+#>   ..$ dist : num [1:2] 186 281
+#>   ..$ prob : num [1:2] 0.654 0.423
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1896 1969
+#>   ..$ envir: num [1:2] 32.5 34.5
+#>   ..$ dist : num [1:2] 231 363
+#>   ..$ prob : num [1:2] 0.547 0.244
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1138 1065
+#>   ..$ envir: num [1:2] 21.6 57.5
+#>   ..$ dist : num [1:2] 172 196
+#>   ..$ prob : num [1:2] 0.685 0.631
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3001 3002
+#>   ..$ envir: num [1:2] 25.4 29.8
+#>   ..$ dist : num [1:2] 143 122
+#>   ..$ prob : num [1:2] 0.744 0.782
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1285 1211
+#>   ..$ envir: num [1:2] 14.5 20.4
+#>   ..$ dist : num [1:2] 215 197
+#>   ..$ prob : num [1:2] 0.587 0.63
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3166 3165
+#>   ..$ envir: num [1:2] 47.7 32.8
+#>   ..$ dist : num [1:2] 136 241
+#>   ..$ prob : num [1:2] 0.757 0.522
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3164 3238
+#>   ..$ envir: num [1:2] 40.4 35
+#>   ..$ dist : num [1:2] 101 370
+#>   ..$ prob : num [1:2] 0.817 0.231
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3232 3234
+#>   ..$ envir: num [1:2] 116.5 85.5
+#>   ..$ dist : num [1:2] 231.2 58.9
+#>   ..$ prob : num [1:2] 0.547 0.871
+
+#### Example (5) Parallelise the algorithm via cl and varlist arguments
+depths_by_container <-
+  get_detection_containers_envir(xy = xy,
+                                detection_range = 425,
+                                coastline = dat_coast,
+                                envir = dat_gebco,
+                                sample_size = 2,
+                                sample_probs = calc_detection_pr,
+                                sample_replace = FALSE,
+                                cl = parallel::makeCluster(2L),
+                                varlist = c("dat_gebco","calc_detection_pr")
+                                )
+#> flapper::get_detection_containers_envir() called (@ 2023-02-19 14:59:27)... 
+#> ... Implementing function checks... 
+#> ... Defining detection container(s)... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> ... Extracting environmental conditions from detection area(s)... 
+#> Error in get(name, envir = envir): object 'calc_detection_pr' not found
+utils::str(depths_by_container)
+#> List of 40
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3003 3077
+#>   ..$ envir: num [1:2] 58 99.3
+#>   ..$ dist : num [1:2] 63.6 177.7
+#>   ..$ prob : num [1:2] 0.866 0.673
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 870 869
+#>   ..$ envir: num [1:2] 167 175
+#>   ..$ dist : num [1:2] 4.13 259.21
+#>   ..$ prob : num [1:2] 0.921 0.477
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 643 645
+#>   ..$ envir: num [1:2] 72.1 141.4
+#>   ..$ dist : num [1:2] 307 209
+#>   ..$ prob : num [1:2] 0.361 0.6
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3001 3000
+#>   ..$ envir: num [1:2] 25.4 NA
+#>   ..$ dist : num [1:2] 143 398
+#>   ..$ prob : num [1:2] 0.744 0.186
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 862 861
+#>   ..$ envir: num [1:2] 166 157
+#>   ..$ dist : num [1:2] 157.3 99.8
+#>   ..$ prob : num [1:2] 0.716 0.818
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 945 871
+#>   ..$ envir: num [1:2] 162 152
+#>   ..$ dist : num [1:2] 87.7 254.8
+#>   ..$ prob : num [1:2] 0.835 0.488
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1067 1069
+#>   ..$ envir: num [1:2] 53.5 25.2
+#>   ..$ dist : num [1:2] 294 228
+#>   ..$ prob : num [1:2] 0.393 0.554
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1754 1755
+#>   ..$ envir: num [1:2] 46.9 32.2
+#>   ..$ dist : num [1:2] 163 338
+#>   ..$ prob : num [1:2] 0.705 0.293
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1285 1286
+#>   ..$ envir: num [1:2] 14.5 22
+#>   ..$ dist : num [1:2] 214.8 65.3
+#>   ..$ prob : num [1:2] 0.587 0.864
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3233 3235
+#>   ..$ envir: num [1:2] 104.9 61.3
+#>   ..$ dist : num [1:2] 45.5 247
+#>   ..$ prob : num [1:2] 0.885 0.508
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1213 1214
+#>   ..$ envir: num [1:2] 28.5 28.8
+#>   ..$ dist : num [1:2] 67.5 214.3
+#>   ..$ prob : num [1:2] 0.861 0.588
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1681 1682
+#>   ..$ envir: num [1:2] 47.6 25.6
+#>   ..$ dist : num [1:2] 230 192
+#>   ..$ prob : num [1:2] 0.55 0.642
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3236 3163
+#>   ..$ envir: num [1:2] 47.9 47.5
+#>   ..$ dist : num [1:2] 212 144
+#>   ..$ prob : num [1:2] 0.594 0.742
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3661 3662
+#>   ..$ envir: num [1:2] 108 115
+#>   ..$ dist : num [1:2] 125 235
+#>   ..$ prob : num [1:2] 0.778 0.538
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 831 830
+#>   ..$ envir: num [1:2] 118 117
+#>   ..$ dist : num [1:2] 204 215
+#>   ..$ prob : num [1:2] 0.614 0.587
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3232 3230
+#>   ..$ envir: num [1:2] 116 79
+#>   ..$ dist : num [1:2] 231.2 95.5
+#>   ..$ prob : num [1:2] 0.547 0.824
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3163 3165
+#>   ..$ envir: num [1:2] 47.5 32.8
+#>   ..$ dist : num [1:2] 144 241
+#>   ..$ prob : num [1:2] 0.742 0.522
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3155 3153
+#>   ..$ envir: num [1:2] 94 119
+#>   ..$ dist : num [1:2] 131 398
+#>   ..$ prob : num [1:2] 0.767 0.185
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1605 1604
+#>   ..$ envir: num [1:2] 47.2 55.3
+#>   ..$ dist : num [1:2] 228 424
+#>   ..$ prob : num [1:2] 0.555 0.15
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 2940 2866
+#>   ..$ envir: num [1:2] 130 135
+#>   ..$ dist : num [1:2] 358 248
+#>   ..$ prob : num [1:2] 0.254 0.506
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3376 3375
+#>   ..$ envir: num [1:2] 90.4 75.3
+#>   ..$ dist : num [1:2] 339 186
+#>   ..$ prob : num [1:2] 0.291 0.656
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1825 1750
+#>   ..$ envir: num [1:2] 73.1 61.5
+#>   ..$ dist : num [1:2] 337 194
+#>   ..$ prob : num [1:2] 0.294 0.635
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1222 1223
+#>   ..$ envir: num [1:2] 131 132
+#>   ..$ dist : num [1:2] 281 204
+#>   ..$ prob : num [1:2] 0.423 0.614
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 794 795
+#>   ..$ envir: num [1:2] 179 174
+#>   ..$ dist : num [1:2] 177.6 82.1
+#>   ..$ prob : num [1:2] 0.674 0.843
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1068 1069
+#>   ..$ envir: num [1:2] 48.4 25.2
+#>   ..$ dist : num [1:2] 56 228
+#>   ..$ prob : num [1:2] 0.874 0.554
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3232 3230
+#>   ..$ envir: num [1:2] 116 79
+#>   ..$ dist : num [1:2] 231.2 95.5
+#>   ..$ prob : num [1:2] 0.547 0.824
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1020 1019
+#>   ..$ envir: num [1:2] 83.2 126.8
+#>   ..$ dist : num [1:2] 218 141
+#>   ..$ prob : num [1:2] 0.58 0.749
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3161 3163
+#>   ..$ envir: num [1:2] 104 47.5
+#>   ..$ dist : num [1:2] 206 144
+#>   ..$ prob : num [1:2] 0.609 0.742
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1211 1139
+#>   ..$ envir: num [1:2] 20.4 22
+#>   ..$ dist : num [1:2] 197 157
+#>   ..$ prob : num [1:2] 0.63 0.717
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1066 1065
+#>   ..$ envir: num [1:2] 71.6 57.5
+#>   ..$ dist : num [1:2] 61.9 196.4
+#>   ..$ prob : num [1:2] 0.868 0.631
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3079 3154
+#>   ..$ envir: num [1:2] 102 112
+#>   ..$ dist : num [1:2] 283 148
+#>   ..$ prob : num [1:2] 0.419 0.736
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3003 3002
+#>   ..$ envir: num [1:2] 58 29.8
+#>   ..$ dist : num [1:2] 63.6 122.4
+#>   ..$ prob : num [1:2] 0.866 0.782
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1899 1973
+#>   ..$ envir: num [1:2] 80.7 55.8
+#>   ..$ dist : num [1:2] 186 281
+#>   ..$ prob : num [1:2] 0.654 0.423
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1896 1969
+#>   ..$ envir: num [1:2] 32.5 34.5
+#>   ..$ dist : num [1:2] 231 363
+#>   ..$ prob : num [1:2] 0.547 0.244
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1138 1065
+#>   ..$ envir: num [1:2] 21.6 57.5
+#>   ..$ dist : num [1:2] 172 196
+#>   ..$ prob : num [1:2] 0.685 0.631
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3001 3002
+#>   ..$ envir: num [1:2] 25.4 29.8
+#>   ..$ dist : num [1:2] 143 122
+#>   ..$ prob : num [1:2] 0.744 0.782
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 1285 1211
+#>   ..$ envir: num [1:2] 14.5 20.4
+#>   ..$ dist : num [1:2] 215 197
+#>   ..$ prob : num [1:2] 0.587 0.63
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3166 3165
+#>   ..$ envir: num [1:2] 47.7 32.8
+#>   ..$ dist : num [1:2] 136 241
+#>   ..$ prob : num [1:2] 0.757 0.522
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3164 3238
+#>   ..$ envir: num [1:2] 40.4 35
+#>   ..$ dist : num [1:2] 101 370
+#>   ..$ prob : num [1:2] 0.817 0.231
+#>  $ :'data.frame':	2 obs. of  4 variables:
+#>   ..$ cell : num [1:2] 3232 3234
+#>   ..$ envir: num [1:2] 116.5 85.5
+#>   ..$ dist : num [1:2] 231.2 58.9
+#>   ..$ prob : num [1:2] 0.547 0.871
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/get_detection_containers_overlap.html b/docs/reference/get_detection_containers_overlap.html index 22a5b1a..c78f320 100644 --- a/docs/reference/get_detection_containers_overlap.html +++ b/docs/reference/get_detection_containers_overlap.html @@ -1,67 +1,12 @@ - - - - - - - -Get detection container overlaps — get_detection_containers_overlap • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Get detection container overlaps — get_detection_containers_overlap • flapper - - + + - - -
    -
    - -
    - -
    +

    Get detection container overlaps

    - Source: R/get_detections.R + Source: R/get_detections.R
    @@ -123,146 +65,154 @@

    Get detection container overlaps

    This functions identifies receivers with overlapping detection containers in space and time.

    - 
    get_detection_containers_overlap(containers, services = NULL)
    - -

    Arguments

    - - - - - - - - - - -
    containers

    A SpatialPolygonsDataFrame that defines detection containers (see get_detection_containers). The data slot must include a dataframe with the following columns: an unique, integer identifier for each receiver (`receiver_id') and receiver deployment Dates (`receiver_start_date' and `receiver_end_date').

    services

    (optional) A dataframe that defines receiver IDs and servicing Dates (times during the deployment period of a receiver when it was not active due to servicing). If provided, this must contain the following columns: an integer identifier for serviced receivers (named ‘receiver_id’) and two columns that define the time of the service(s) (‘service_start_date’ and ‘service_end_date’) (see make_matrix_receivers).

    - -

    Value

    +
    + 
    get_detection_containers_overlap(containers, services = NULL)
    +
    -

    The function returns a list with two elements:

      -

    • overlap_by_receiver is list, with one element for all integers from 1:max(containers$receiver_id). Any elements that do not correspond to receivers contain a NULL element. List elements that correspond to receivers contain a dataframe that defines, for each day over the deployment period (defined in `timestamp') of that receiver (defined in `receiver_id'), whether (1) or not (0) that receiver overlapped in space with every other receiver (defined in the remaining columns by their receiver IDs).

      • -

    • overlap_by_date is a named list, with one element for each date from the start until the end of the study (min(containers$receiver_start_date):max(containers$receiver_end_date)), that records an integer vector of all receivers with overlapping containers on that date. In this vector, each receiver overlaps with at least one other receiver (but not every receiver will necessarily overlap with every other receiver).

      • -
    +
    +

    Arguments

    +
    containers
    +

    A SpatialPolygonsDataFrame that defines detection containers (see get_detection_containers). The data slot must include a dataframe with the following columns: an unique, integer identifier for each receiver (`receiver_id') and receiver deployment Dates (`receiver_start_date' and `receiver_end_date').

    -

    Details

    -

    This function requires the tidyr-package (specifically pivot_longer).

    -

    See also

    +
    services
    +

    (optional) A dataframe that defines receiver IDs and servicing Dates (times during the deployment period of a receiver when it was not active due to servicing). If provided, this must contain the following columns: an integer identifier for serviced receivers (named ‘receiver_id’) and two columns that define the time of the service(s) (‘service_start_date’ and ‘service_end_date’) (see make_matrix_receivers).

    -

    get_detection_containers creates detection containers.

    -

    Author

    +
    +
    +

    Value

    + +

    The function returns a list with two elements:

    • overlap_by_receiver is list, with one element for all integers from 1:max(containers$receiver_id). Any elements that do not correspond to receivers contain a NULL element. List elements that correspond to receivers contain a dataframe that defines, for each day over the deployment period (defined in `timestamp') of that receiver (defined in `receiver_id'), whether (1) or not (0) that receiver overlapped in space with every other receiver (defined in the remaining columns by their receiver IDs).

      • +

    • overlap_by_date is a named list, with one element for each date from the start until the end of the study (min(containers$receiver_start_date):max(containers$receiver_end_date)), that records an integer vector of all receivers with overlapping containers on that date. In this vector, each receiver overlaps with at least one other receiver (but not every receiver will necessarily overlap with every other receiver).

      • +
    +
    +

    Details

    +

    This function requires the tidyr-package (specifically pivot_longer).

    +
    +
    +

    See also

    +

    get_detection_containers creates detection containers.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Define receiver containers
-## Define receiver locations as a SpatialPoints object with a UTM CRS
-proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
-proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
-rownames(dat_moorings) <- dat_moorings$receiver_id
-xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
-                        proj_wgs84)
-xy <- sp::spTransform(xy, proj_utm)
-## Get receiver-specific detection containers
-# ... via get_detection_containers with byid = TRUE
-containers <- get_detection_containers(xy, byid = TRUE)
-
    ## Link detection containers with receiver IDs and deployment dates
-# ... in a SpatialPointsDataFrame, as required for this function.
-containers_df <- dat_moorings[, c("receiver_id",
-                                 "receiver_start_date",
-                                 "receiver_end_date")]
-row.names(containers_df) <- names(containers)
-containers <- sp::SpatialPolygonsDataFrame(containers, containers_df)
-
-## Simulate some receiver 'servicing' dates for demonstration purposes
-set.seed(1)
-# Loop over each receiver...
-services_by_receiver <- lapply(split(dat_moorings, 1:nrow(dat_moorings)), function(din){
-  # For the receiver, simulate the number of servicing events
-  n <- sample(0:3, 1)
-  dout <- NULL
-  if(n > 0){
-    # simulate the timing of servicing events
-    dates <- sample(seq(min(din$receiver_start_date), max(din$receiver_end_date), "days"), n)
-    dout <- data.frame(receiver_id = rep(din$receiver_id, length(dates)),
-                       service_start_date = dates,
-                       service_end_date = dates)
-  }
-  return(dout)
-})
-services <- do.call(rbind, services_by_receiver)
-rownames(services) <- NULL
-if(nrow(services) == 0) services <- NULL
-
-#### Example (1): Implement function using containers alone
-overlaps_1 <- get_detection_containers_overlap(containers = containers)
-summary(overlaps_1)
-
    #>                  Length Class  Mode
-#> list_by_receiver  57    -none- list
-#> list_by_date     457    -none- list
    
-#### Example (2): Account for servicing dates
-overlaps_2 <- get_detection_containers_overlap(containers = containers,
-                                              services = services)
-# Examine the first few simulated servicing events
-services[1:3, ]
-
    #>   receiver_id service_start_date service_end_date
-#> 1           4         2016-08-16       2016-08-16
-#> 2           4         2016-07-09       2016-07-09
-#> 3           4         2016-12-26       2016-12-26
    # Show that the list_by_date element for the first servicing event
-# ... includes the first receiver in services$receiver_id
-# ... for overlaps_1 but not overlaps_2,
-# ... which accounts for that fact that the receiver was serviced then:
-overlaps_1$list_by_date[[as.character(services$service_start_date[1])]]
-
    #>  [1]  3  9 12 40  4 24 23 26 20 18 21 31
    overlaps_2$list_by_date[[as.character(services$service_start_date[1])]]
-
    #> [1]  3  9 24 23 26 20 18 21 31
    # Likewise, show that the list_by_receiver element for that receiver
-# ... includes overlapping receivers in overlaps_1 but not overlaps_2:
-r_id <- services$receiver_id[1]
-overlaps_1$list_by_receiver[[r_id]][overlaps_1$list_by_receiver[[r_id]]$timestamp %in%
-                                      services$service_start_date[services$receiver_id == r_id], ]
-
    #>             timestamp receiver_id 3 7 9 11 12 14 18 20 21 23 24 26 27 29 30 31
-#> 2016-07-09 2016-07-09           4 0 0 0  0  1  0  0  0  0  0  0  0  0  0  0  0
-#> 2016-08-16 2016-08-16           4 0 0 0  0  1  0  0  0  0  0  0  0  0  0  0  0
-#> 2016-12-26 2016-12-26           4 0 0 0  0  1  0  0  0  0  0  0  0  0  0  0  0
-#>            33 35 36 37 38 39 40 41 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57
-#> 2016-07-09  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
-#> 2016-08-16  0  0  0  0  0  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
-#> 2016-12-26  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
    overlaps_2$list_by_receiver[[r_id]][overlaps_2$list_by_receiver[[r_id]]$timestamp %in%
-                                      services$service_start_date[services$receiver_id == r_id], ]
-
    #>             timestamp receiver_id 3 7 9 11 12 14 18 20 21 23 24 26 27 29 30 31
-#> 2016-07-09 2016-07-09           4 0 0 0  0  0  0  0  0  0  0  0  0  0  0  0  0
-#> 2016-08-16 2016-08-16           4 0 0 0  0  0  0  0  0  0  0  0  0  0  0  0  0
-#> 2016-12-26 2016-12-26           4 0 0 0  0  0  0  0  0  0  0  0  0  0  0  0  0
-#>            33 35 36 37 38 39 40 41 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57
-#> 2016-07-09  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
-#> 2016-08-16  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
-#> 2016-12-26  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
    
-
    +
    +

    Examples

    + 
    #### Define receiver containers
+## Define receiver locations as a SpatialPoints object with a UTM CRS
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
+rownames(dat_moorings) <- dat_moorings$receiver_id
+xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
+                        proj_wgs84)
+xy <- sp::spTransform(xy, proj_utm)
+## Get receiver-specific detection containers
+# ... via get_detection_containers with byid = TRUE
+containers <- get_detection_containers(xy, byid = TRUE)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+## Link detection containers with receiver IDs and deployment dates
+# ... in a SpatialPointsDataFrame, as required for this function.
+containers_df <- dat_moorings[, c("receiver_id",
+                                 "receiver_start_date",
+                                 "receiver_end_date")]
+row.names(containers_df) <- names(containers)
+containers <- sp::SpatialPolygonsDataFrame(containers, containers_df)
+
+## Simulate some receiver 'servicing' dates for demonstration purposes
+set.seed(1)
+# Loop over each receiver...
+services_by_receiver <- lapply(split(dat_moorings, 1:nrow(dat_moorings)), function(din){
+  # For the receiver, simulate the number of servicing events
+  n <- sample(0:3, 1)
+  dout <- NULL
+  if(n > 0){
+    # simulate the timing of servicing events
+    dates <- sample(seq(min(din$receiver_start_date), max(din$receiver_end_date), "days"), n)
+    dout <- data.frame(receiver_id = rep(din$receiver_id, length(dates)),
+                       service_start_date = dates,
+                       service_end_date = dates)
+  }
+  return(dout)
+})
+services <- do.call(rbind, services_by_receiver)
+rownames(services) <- NULL
+if(nrow(services) == 0) services <- NULL
+
+#### Example (1): Implement function using containers alone
+overlaps_1 <- get_detection_containers_overlap(containers = containers)
+summary(overlaps_1)
+#>                  Length Class  Mode
+#> list_by_receiver  57    -none- list
+#> list_by_date     457    -none- list
+
+#### Example (2): Account for servicing dates
+overlaps_2 <- get_detection_containers_overlap(containers = containers,
+                                              services = services)
+# Examine the first few simulated servicing events
+services[1:3, ]
+#>   receiver_id service_start_date service_end_date
+#> 1           4         2016-08-16       2016-08-16
+#> 2           4         2016-07-09       2016-07-09
+#> 3           4         2016-12-26       2016-12-26
+# Show that the list_by_date element for the first servicing event
+# ... includes the first receiver in services$receiver_id
+# ... for overlaps_1 but not overlaps_2,
+# ... which accounts for that fact that the receiver was serviced then:
+overlaps_1$list_by_date[[as.character(services$service_start_date[1])]]
+#>  [1]  3  9 12 40  4 24 23 26 20 18 21 31
+overlaps_2$list_by_date[[as.character(services$service_start_date[1])]]
+#> [1]  3  9 24 23 26 20 18 21 31
+# Likewise, show that the list_by_receiver element for that receiver
+# ... includes overlapping receivers in overlaps_1 but not overlaps_2:
+r_id <- services$receiver_id[1]
+overlaps_1$list_by_receiver[[r_id]][overlaps_1$list_by_receiver[[r_id]]$timestamp %in%
+                                      services$service_start_date[services$receiver_id == r_id], ]
+#>             timestamp receiver_id 3 7 9 11 12 14 18 20 21 23 24 26 27 29 30 31
+#> 2016-07-09 2016-07-09           4 0 0 0  0  1  0  0  0  0  0  0  0  0  0  0  0
+#> 2016-08-16 2016-08-16           4 0 0 0  0  1  0  0  0  0  0  0  0  0  0  0  0
+#> 2016-12-26 2016-12-26           4 0 0 0  0  1  0  0  0  0  0  0  0  0  0  0  0
+#>            33 35 36 37 38 39 40 41 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57
+#> 2016-07-09  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
+#> 2016-08-16  0  0  0  0  0  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
+#> 2016-12-26  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
+overlaps_2$list_by_receiver[[r_id]][overlaps_2$list_by_receiver[[r_id]]$timestamp %in%
+                                      services$service_start_date[services$receiver_id == r_id], ]
+#>             timestamp receiver_id 3 7 9 11 12 14 18 20 21 23 24 26 27 29 30 31
+#> 2016-07-09 2016-07-09           4 0 0 0  0  0  0  0  0  0  0  0  0  0  0  0  0
+#> 2016-08-16 2016-08-16           4 0 0 0  0  0  0  0  0  0  0  0  0  0  0  0  0
+#> 2016-12-26 2016-12-26           4 0 0 0  0  0  0  0  0  0  0  0  0  0  0  0  0
+#>            33 35 36 37 38 39 40 41 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57
+#> 2016-07-09  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
+#> 2016-08-16  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
+#> 2016-12-26  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
+
+
    +
    +
    - - - + + diff --git a/docs/reference/get_detection_days.html b/docs/reference/get_detection_days.html index a89e3a1..2d12f98 100644 --- a/docs/reference/get_detection_days.html +++ b/docs/reference/get_detection_days.html @@ -1,67 +1,12 @@ - - - - - - - -Calculate detection days — get_detection_days • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate detection days — get_detection_days • flapper - + + - - - -
    -
    - -
    - -
    +

    Calculate detection days

    - Source: R/get_detections.R + Source: R/get_detections.R
    -

    The function calculates the total number of days (termed `detection days') during which individuals were detected at passive acoustic telemetry receivers. To implement the function, a dataframe with passive acoustic telemetry detections of individuals at receivers must be supplied. Detection days can be calculated for all combinations of individuals/receivers in this dataframe, for all combinations of specified individuals and receivers, or for specific individual/receiver pairs. The function returns a dataframe of detection days for these individual/receiver combinations or a vector of detection days that is matched against another dataframe.

    +

    The function calculates the total number of days (termed `detection days') during which individuals were detected at passive acoustic telemetry receivers. To implement the function, a dataframe with passive acoustic telemetry detections of individuals at receivers must be supplied. Detection days can be calculated for individuals/receivers in this dataframe, for specific individual/receiver pairs or all combinations of specified individuals and receivers. The function returns a dataframe of detection days for these individual/receiver combinations or a vector of detection days that is matched against another dataframe.

    - 
    get_detection_days(
-  acoustics,
-  individual_id = NULL,
-  receiver_id = NULL,
-  type = 1L,
-  match_to = NULL,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - -
    acoustics

    A dataframe that contains passive acoustic telemetry detection time series (see dat_acoustics for an example). This should contain the following columns: a vector of individual IDs, named `individual_id'; a vector of receiver IDs, named `receiver_id'; and a POSIXct vector of time stamps when detections were made, named `timestamp'.

    individual_id

    (optional) A vector of individuals for which to calculate detection days.

    receiver_id

    (optional) A vector of receivers for which to calculate detection days.

    type

    If both individual_id and receiver_id are specified, then type is an integer that defines whether or not to calculate detection days for (a) each individual/receiver pair (type = 1L) or (b) all combinations of individuals/receivers.

    match_to

    (optional) A dataframe against which to match detection days. This must contain the `individual_id' and `receiver_id' column, as in acoustics. If supplied, an integer vector of detection days for individual/receiver combinations, matched against the individuals/receivers in match_to, is returned (see also Value).

    ...

    Additional arguments passed to pblapply.

    - -

    Value

    - -

    The function returns a dataframe with the detection days for all, or specified, combinations of individuals and receivers. Note that if acoustics only contains individuals/receivers that made detections, then this will only contain individuals/receivers for/at which detections were made. Alternatively, if match_to is supplied, a vector of detection days, matched against each individual/receiver observation in that dataframe, is returned.

    -

    See also

    - -

    get_detection_clumps, get_residents

    -

    Author

    +
    + 
    get_detection_days(
+  acoustics,
+  individual_id = NULL,
+  receiver_id = NULL,
+  type = c(1L, 2L),
+  match_to = NULL,
+  ...
+)
    +
    + +
    +

    Arguments

    +
    acoustics
    +

    A dataframe that contains passive acoustic telemetry detection time series (see dat_acoustics for an example). This should contain the following columns: a vector of individual IDs, named `individual_id'; a vector of receiver IDs, named `receiver_id'; and a POSIXct vector of time stamps when detections were made, named `timestamp'.

    + + +
    individual_id
    +

    (optional) A vector of individuals for which to calculate detection days. Values not in acoustics are dropped with a warning.

    + + +
    receiver_id
    +

    (optional) A vector of receivers for which to calculate detection days. Values not in acoustics are dropped with a warning.

    + +
    type
    +

    If both individual_id and receiver_id are specified, then type is an integer that defines whether or not to calculate detection days for (a) each individual/receiver pair (type = 1L) or (b) all combinations of individuals/receivers.

    + + +
    match_to
    +

    (optional) A dataframe against which to match detection days. This must contain the `individual_id' and `receiver_id' column, as in acoustics. If supplied, an integer vector of detection days for individual/receiver combinations, matched against the individuals/receivers in match_to, is returned (see also Value).

    + + +
    ...
    +

    Additional arguments (depreciated).

    + +
    +
    +

    Value

    + + +

    If match_to is un-supplied, the function returns a dataframe with the detection days for individual/receiver pairs in acoustics or specific pairs/all possible pairs of specified individuals and receivers. Individual(s) and receiver(s) (if specified via individual_id and receiver_id) not in acoustics are dropped with warning(s). If match_to is supplied, a vector of detection days, matched against each individual/receiver observation in that dataframe, is returned.

    +
    +
    +

    Details

    +

    To calculate detection days for all individuals in acoustics across all receivers (rather than by each receiver), simply use dplyr (see Examples).

    +

    This function does not currently support other time steps (e.g., detection hours).

    +
    + +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Detection days between all combinations
-# ... of detected individuals and receivers with detections
-dat <- get_detection_days(dat_acoustics)
-
-#### Example (2) Detection days between all combinations of specified
-#... individuals/receivers
-dat <- get_detection_days(dat_acoustics,
-                          individual_id = 25,
-                          receiver_id = c(25, 21),
-                          type = 2L)
-
-#### Example (3) Detection days between specified individual/receiver pairs
-dat <- get_detection_days(dat_acoustics,
-                          individual_id = c(25, 26),
-                          receiver_id = c(25, 21),
-                          type = 1L)
-
-#### Example (4) Match detection days to another dataframe
-dat_acoustics$detection_days <- get_detection_days(dat_acoustics,
-                                                   match_to = dat_acoustics,
-                                                   type = 1L)
-
-utils::head(dat_acoustics)
-
    #>   individual_id transmitter_id index           timestamp receiver_id
-#> 1            25   A69-1303-555     1 2016-03-17 01:50:00          26
-#> 2            25   A69-1303-555     2 2016-03-17 01:52:00          26
-#> 3            25   A69-1303-555     4 2016-03-17 01:54:00          26
-#> 4            25   A69-1303-555     5 2016-03-17 01:58:00          26
-#> 5            25   A69-1303-555     7 2016-03-17 02:00:00          26
-#> 6            25   A69-1303-555     8 2016-03-17 02:04:00          26
-#>      receiver receiver_long receiver_lat receiver_depth detection_days
-#> 1 VR2W-108163     -5.610733     56.37628             25             16
-#> 2 VR2W-108163     -5.610733     56.37628             25             16
-#> 3 VR2W-108163     -5.610733     56.37628             25             16
-#> 4 VR2W-108163     -5.610733     56.37628             25             16
-#> 5 VR2W-108163     -5.610733     56.37628             25             16
-#> 6 VR2W-108163     -5.610733     56.37628             25             16
    
-
    +
    +

    Examples

    + 
    #### Example (1): Detection days between all combinations
+# ... of detected individuals and receivers with detections
+dat <- get_detection_days(dat_acoustics)
+utils::head(dat)
+#>   receiver_id individual_id detection_days
+#> 1           3            25              5
+#> 2           3            28             46
+#> 3           3            35             84
+#> 4           4            25              2
+#> 5           7            25              1
+#> 6           9            25              1
+
+#### Example (2) Detection days between specified individual/receiver pairs
+dat <- get_detection_days(dat_acoustics,
+                          individual_id = c(25, 28),
+                          receiver_id = c(3, 24),
+                          type = 1L)
+utils::head(dat)
+#>   receiver_id individual_id detection_days
+#> 1           3            25              5
+#> 2           3            28             46
+#> 3          24            25             12
+#> 4          24            28              1
+
+#### Example (3) Detection days between all combinations of specified
+#... individuals/receivers
+dat <- get_detection_days(dat_acoustics,
+                          individual_id = c(25, 28),
+                          receiver_id = c(3, 24),
+                          type = 2L)
+utils::head(dat)
+#>   individual_id receiver_id detection_days
+#> 1            25           3              5
+#> 2            28           3             46
+#> 3            25          24             12
+#> 4            28          24              1
+
+#### Example (4) Match detection days to another dataframe
+dat_acoustics$detection_days <- get_detection_days(dat_acoustics,
+                                                   match_to = dat_acoustics,
+                                                   type = 1L)
+
+utils::head(dat_acoustics)
+#>   individual_id transmitter_id index           timestamp receiver_id
+#> 1            25   A69-1303-555     1 2016-03-17 01:50:00          26
+#> 2            25   A69-1303-555     2 2016-03-17 01:52:00          26
+#> 3            25   A69-1303-555     4 2016-03-17 01:54:00          26
+#> 4            25   A69-1303-555     5 2016-03-17 01:58:00          26
+#> 5            25   A69-1303-555     7 2016-03-17 02:00:00          26
+#> 6            25   A69-1303-555     8 2016-03-17 02:04:00          26
+#>      receiver receiver_long receiver_lat receiver_depth detection_days
+#> 1 VR2W-108163     -5.610733     56.37628             25             16
+#> 2 VR2W-108163     -5.610733     56.37628             25             16
+#> 3 VR2W-108163     -5.610733     56.37628             25             16
+#> 4 VR2W-108163     -5.610733     56.37628             25             16
+#> 5 VR2W-108163     -5.610733     56.37628             25             16
+#> 6 VR2W-108163     -5.610733     56.37628             25             16
+
+#### Example (5): Detection days for all individuals across all individuals
+# Simply use dplyr:
+require(dplyr)
+dat_acoustics %>%
+  mutate(date = as.Date(timestamp)) %>%
+  group_by(individual_id) %>%
+  summarise(detection_days = length(unique(date)))
+#> # A tibble: 3 × 2
+#>   individual_id detection_days
+#>           <int>          <int>
+#> 1            25            256
+#> 2            28            151
+#> 3            35            196
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/get_detection_overlaps.html b/docs/reference/get_detection_overlaps.html index 7e6034d..4bceb72 100644 --- a/docs/reference/get_detection_overlaps.html +++ b/docs/reference/get_detection_overlaps.html @@ -1,67 +1,12 @@ - - - - - - - -Get `overlapping' detections — get_detection_overlaps • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Get `overlapping' detections — get_detection_overlaps • flapper - - + + - - -
    -
    - -
    - -
    +

    Get `overlapping' detections

    - Source: R/get_detections.R + Source: R/get_detections.R
    @@ -123,143 +65,173 @@

    Get `overlapping' detections

    This function isolates detections that occurred at `effectively the same time' at different receivers with overlapping or non-overlapping detection containers. To implement the function, a dataframe of acoustic detections for a specific individual (acoustics) is required. Within this dataframe, the function isolates any detections that occurred within a user-specified time interval (clock_drift) at different receivers. If a list of the receivers with overlapping detection containers in space and time is supplied (overlaps), the function also flags the subset of these detections that occurred at receivers with overlapping or non-overlapping detection containers. This information is important for identifying potential false detections and the implementation of the AC* algorithm(s) (see Details). The function returns this information via summary message(s) along with a dataframe of the overlapping detections.

    - 
    get_detection_overlaps(acoustics, overlaps = NULL, clock_drift = 5)
    +
    + 
    get_detection_overlaps(acoustics, overlaps = NULL, clock_drift = 5)
    +
    + +
    +

    Arguments

    +
    acoustics
    +

    A dataframe of passive acoustic telemetry detection time series (see dat_acoustics for an example) for a single individual. This must contain an integer vector of receiver IDs, named `receiver_id' and a POSIXct vector of time stamps when detections were made, named `timestamp'.

    + + +
    overlaps
    +

    (optional) A named list, from get_detection_containers_overlap, that defines, for each receiver, for each day over its deployment period, whether or not its detection container overlapped with those of other receivers.

    -

    Arguments

    - - - - - - - - - - - - - - -
    acoustics

    A dataframe of passive acoustic telemetry detection time series (see dat_acoustics for an example) for a single individual. This must contain an integer vector of receiver IDs, named `receiver_id' and a POSIXct vector of time stamps when detections were made, named `timestamp'.

    overlaps

    (optional) A named list, from get_detection_containers_overlap, that defines, for each receiver, for each day over its deployment period, whether or not its detection container overlapped with those of other receivers.

    clock_drift

    A number that defines the time (s) between sequential detections at which they are considered to have occurred at `effectively the same time'.

    -

    Value

    +
    clock_drift
    +

    A number that defines the time (s) between sequential detections at which they are considered to have occurred at `effectively the same time'.

    -

    The function returns a message that defines the number of detections at different receivers that occurred at effectively the same time (within clock_drift) and, if overlaps is supplied, the subset of these that occurred at non-overlapping receivers. A dataframe is also invisibly returned that records the details of overlapping detections. This includes the following columns:

      -

    • timestamp_1, a POSIXct vector of time stamps at which detections were made;

      • +
    +
    +

    Value

    + + +

    The function returns a message that defines the number of detections at different receivers that occurred at effectively the same time (within clock_drift) and, if overlaps is supplied, the subset of these that occurred at non-overlapping receivers. A dataframe is also invisibly returned that records the details of overlapping detections. This includes the following columns:

    • timestamp_1, a POSIXct vector of time stamps at which detections were made;

    • receiver_id_1, an integer identifier of the receivers at which detections were made;

    • timestamp_2, a POSIXct vector of the time stamps at which immediately subsequent detections were made;

    • receiver_id_2, an integer identifier of the receivers at which the immediately subsequent detections were made;

    • diff_time, a numeric vector that defines the time (s) between consecutive detections (timestamp_1 and timestamp_2);

    • detection_in_overlapping_container, a binary vector that defines whether (1) or not (0) the detection containers of receiver_id_1 and receiver_id_2 overlapped at the time of the detection (this is only included if overlaps is provided);

      • -
    - -

    Details

    - -

    Detections at different receivers that occur at effectively the same time have important implications for inferences of animal movement patterns, especially via the AC* algorithm(s) in flapper (e.g. acdc). Within the AC* algorithm(s), when an individual is detected at the same time at two different receivers, detection probability kernels dictate that these receivers must have overlapping detection containers. If the detection containers do not overlap, this suggests that either (a) receiver clocks are not well-aligned; (b) the definition of `effectively the same time' is be overly large (such that the individual could move from within the detection container of one receiver into the detection container of another); (c) detection containers are too small and detection probability is higher than realised; and/or (d) one or more of the detections are false. The most likely cause may be guided by knowledge of the array design, detection probability and false detection algorithms. For example, if it is plausible that detection containers are too small, repeating the implementation of this function with larger containers may indicate whether or not this is likely to have been the case: if so, all detections that occurred at effectively the same time at receivers with non-overlapping detection containers should be captured by the large containers (though this does not rule out other explanations). The purpose of this function is to flag any such detections so that they can be investigated and addressed prior to the implementation of the AC* algorithm(s).

    -

    Author

    - +
    +
    +

    Details

    +

    Detections at different receivers that occur at effectively the same time have important implications for inferences of animal movement patterns, especially via the AC* algorithm(s) in flapper (e.g. acdc). Within the AC* algorithm(s), when an individual is detected at the same time at two different receivers, detection probability kernels dictate that these receivers must have overlapping detection containers. If the detection containers do not overlap, this suggests that either (a) receiver clocks are not well-aligned; (b) the definition of `effectively the same time' is be overly large (such that the individual could move from within the detection container of one receiver into the detection container of another); (c) detection containers are too small and detection probability is higher than realised; and/or (d) one or more of the detections are false. The most likely cause may be guided by knowledge of the array design, detection probability and false detection algorithms. For example, if it is plausible that detection containers are too small, repeating the implementation of this function with larger containers may indicate whether or not this is likely to have been the case: if so, all detections that occurred at effectively the same time at receivers with non-overlapping detection containers should be captured by the large containers (though this does not rule out other explanations). The purpose of this function is to flag any such detections so that they can be investigated and addressed prior to the implementation of the AC* algorithm(s).

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Implement function using detection data for an example individual
-dat_acoustics_25 <- dat_acoustics[dat_acoustics$individual_id == 25, ]
-dat <- get_detection_overlaps(acoustics = dat_acoustics_25)
-
    #> 517 observation(s) identified at another receiver within 5 secs.
    utils::head(dat)
-
    #>           timestamp_1 receiver_id_1 receiver_id_2         timestamp_2 diff_time
-#> 1 2016-03-17 02:56:00            26            21 2016-03-17 02:56:00         0
-#> 2 2016-03-17 04:08:00            26            21 2016-03-17 04:08:00         0
-#> 3 2016-03-17 05:06:00            26            31 2016-03-17 05:06:00         0
-#> 4 2016-03-17 05:10:00            31            26 2016-03-17 05:10:00         0
-#> 5 2016-03-17 05:20:00            31            26 2016-03-17 05:20:00         0
-#> 6 2016-03-17 08:50:00            26            31 2016-03-17 08:50:00         0
    
-#### Example (2): Implement function, including information on detection containers
-
-## Get detection container overlaps to include in function
-## (see ?flapper::get_detection_container_overlaps)
-# Define receiver locations
-proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
-proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
-rownames(dat_moorings) <- dat_moorings$receiver_id
-xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
-                        proj_wgs84)
-xy <- sp::spTransform(xy, proj_utm)
-# Get receiver-specific detection containers
-containers <- get_detection_containers(xy, byid = TRUE)
-
    containers_df <- dat_moorings[, c("receiver_id",
-                                 "receiver_start_date",
-                                 "receiver_end_date")]
-row.names(containers_df) <- names(containers)
-containers <- sp::SpatialPolygonsDataFrame(containers, containers_df)
-# Define detection container overlaps
-overlaps <- get_detection_containers_overlap(containers = containers)
-
-## Implement function with detection container overlaps included
-dat <- get_detection_overlaps(acoustics = dat_acoustics_25, overlaps = overlaps)
-
    #> 517 observation(s) identified at another receiver within 5 secs.
    #> Of these, there are 2 observation(s) within 5 secs that are not in overlapping containers.
    #> These simulataneous detections at non-overlapping receivers occurred at 15 unique receiver pair(s): 3-9, 12-44, 21-26, 21-57, 26-31, 41-47, 43-57, 45-56, 45-57, 46-54, 46-52, 47-52, 49-53, 50-51, 52-54.
    utils::head(dat)
-
    #>           timestamp_1 receiver_id_1 receiver_id_2         timestamp_2 diff_time
-#> 1 2016-03-17 02:56:00            26            21 2016-03-17 02:56:00         0
-#> 2 2016-03-17 04:08:00            26            21 2016-03-17 04:08:00         0
-#> 3 2016-03-17 05:06:00            26            31 2016-03-17 05:06:00         0
-#> 4 2016-03-17 05:10:00            31            26 2016-03-17 05:10:00         0
-#> 5 2016-03-17 05:20:00            31            26 2016-03-17 05:20:00         0
-#> 6 2016-03-17 08:50:00            26            31 2016-03-17 08:50:00         0
-#>   detection_in_overlapping_container
-#> 1                                  1
-#> 2                                  1
-#> 3                                  1
-#> 4                                  1
-#> 5                                  1
-#> 6                                  1
    
-#### Implement function across all individuals
-# For some individuals, there are simultaneous detections at receivers with
-# ... non overlapping detection containers, suggesting these are probably too small.
-dat_by_id <-
-  lapply(split(dat_acoustics, dat_acoustics$individual_id),
-         function(acc_for_id){
-           print(paste("individual_id", acc_for_id$individual_id[1], "-------"))
-           get_detection_overlaps(acoustics = acc_for_id, overlaps = overlaps)
-         })
-
    #> [1] "individual_id 25 -------"
    #> 517 observation(s) identified at another receiver within 5 secs.
    #> Of these, there are 2 observation(s) within 5 secs that are not in overlapping containers.
    #> These simulataneous detections at non-overlapping receivers occurred at 15 unique receiver pair(s): 3-9, 12-44, 21-26, 21-57, 26-31, 41-47, 43-57, 45-56, 45-57, 46-54, 46-52, 47-52, 49-53, 50-51, 52-54.
    #> [1] "individual_id 28 -------"
    #> 239 observation(s) identified at another receiver within 5 secs.
    #> Of these, there are 111 observation(s) within 5 secs that are not in overlapping containers.
    #> These simulataneous detections at non-overlapping receivers occurred at 9 unique receiver pair(s): 3-9, 3-33, 21-30, 21-26, 21-57, 43-57, 49-53, 50-51, 45-56.
    #> [1] "individual_id 35 -------"
    #> 294 observation(s) identified at another receiver within 5 secs.
    #> Of these, there are 9 observation(s) within 5 secs that are not in overlapping containers.
    #> These simulataneous detections at non-overlapping receivers occurred at 6 unique receiver pair(s): 3-9, 3-33, 21-43, 21-45, 43-57, 45-57.
    ## Test this hypothesis by re-implementing approach with larger containers
-# Re-define containers and receiver overlap
-containers <- get_detection_containers(xy, detection_range = 750, byid = TRUE)
-
    containers <- sp::SpatialPolygonsDataFrame(containers, containers_df)
-overlaps <- get_detection_containers_overlap(containers = containers)
-# Re-implement algorithm
-dat_by_id <-
-  lapply(split(dat_acoustics, dat_acoustics$individual_id),
-         function(acc_for_id){
-           print(paste("individual_id", acc_for_id$individual_id[1], "-------"))
-           get_detection_overlaps(acoustics = acc_for_id, overlaps = overlaps)
-         })
-
    #> [1] "individual_id 25 -------"
    #> 517 observation(s) identified at another receiver within 5 secs.
    #> Of these, there are 0 observation(s) within 5 secs that are not in overlapping containers.
    #> [1] "individual_id 28 -------"
    #> 239 observation(s) identified at another receiver within 5 secs.
    #> Of these, there are 0 observation(s) within 5 secs that are not in overlapping containers.
    #> [1] "individual_id 35 -------"
    #> 294 observation(s) identified at another receiver within 5 secs.
    #> Of these, there are 0 observation(s) within 5 secs that are not in overlapping containers.
    # There are now no observations within clock_drift at receivers with
-# ... non-overlapping containers.
-
-
    +
    +

    Examples

    + 
    #### Example (1): Implement function using detection data for an example individual
+dat_acoustics_25 <- dat_acoustics[dat_acoustics$individual_id == 25, ]
+dat <- get_detection_overlaps(acoustics = dat_acoustics_25)
+#> 517 observation(s) identified at another receiver within 5 secs.
+utils::head(dat)
+#>           timestamp_1 receiver_id_1 receiver_id_2         timestamp_2 diff_time
+#> 1 2016-03-17 02:56:00            26            21 2016-03-17 02:56:00         0
+#> 2 2016-03-17 04:08:00            26            21 2016-03-17 04:08:00         0
+#> 3 2016-03-17 05:06:00            26            31 2016-03-17 05:06:00         0
+#> 4 2016-03-17 05:10:00            31            26 2016-03-17 05:10:00         0
+#> 5 2016-03-17 05:20:00            31            26 2016-03-17 05:20:00         0
+#> 6 2016-03-17 08:50:00            26            31 2016-03-17 08:50:00         0
+
+#### Example (2): Implement function, including information on detection containers
+
+## Get detection container overlaps to include in function
+## (see ?flapper::get_detection_container_overlaps)
+# Define receiver locations
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
+rownames(dat_moorings) <- dat_moorings$receiver_id
+xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
+                        proj_wgs84)
+xy <- sp::spTransform(xy, proj_utm)
+# Get receiver-specific detection containers
+containers <- get_detection_containers(xy, byid = TRUE)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+containers_df <- dat_moorings[, c("receiver_id",
+                                 "receiver_start_date",
+                                 "receiver_end_date")]
+row.names(containers_df) <- names(containers)
+containers <- sp::SpatialPolygonsDataFrame(containers, containers_df)
+# Define detection container overlaps
+overlaps <- get_detection_containers_overlap(containers = containers)
+
+## Implement function with detection container overlaps included
+dat <- get_detection_overlaps(acoustics = dat_acoustics_25, overlaps = overlaps)
+#> 517 observation(s) identified at another receiver within 5 secs.
+#> Of these, there are 2 observation(s) within 5 secs that are not in overlapping containers.
+#> These simulataneous detections at non-overlapping receivers occurred at 15 unique receiver pair(s): 3-9, 12-44, 21-26, 21-57, 26-31, 41-47, 43-57, 45-56, 45-57, 46-54, 46-52, 47-52, 49-53, 50-51, 52-54.
+utils::head(dat)
+#>           timestamp_1 receiver_id_1 receiver_id_2         timestamp_2 diff_time
+#> 1 2016-03-17 02:56:00            26            21 2016-03-17 02:56:00         0
+#> 2 2016-03-17 04:08:00            26            21 2016-03-17 04:08:00         0
+#> 3 2016-03-17 05:06:00            26            31 2016-03-17 05:06:00         0
+#> 4 2016-03-17 05:10:00            31            26 2016-03-17 05:10:00         0
+#> 5 2016-03-17 05:20:00            31            26 2016-03-17 05:20:00         0
+#> 6 2016-03-17 08:50:00            26            31 2016-03-17 08:50:00         0
+#>   detection_in_overlapping_container
+#> 1                                  1
+#> 2                                  1
+#> 3                                  1
+#> 4                                  1
+#> 5                                  1
+#> 6                                  1
+
+#### Implement function across all individuals
+# For some individuals, there are simultaneous detections at receivers with
+# ... non overlapping detection containers, suggesting these are probably too small.
+dat_by_id <-
+  lapply(split(dat_acoustics, dat_acoustics$individual_id),
+         function(acc_for_id){
+           print(paste("individual_id", acc_for_id$individual_id[1], "-------"))
+           get_detection_overlaps(acoustics = acc_for_id, overlaps = overlaps)
+         })
+#> [1] "individual_id 25 -------"
+#> 517 observation(s) identified at another receiver within 5 secs.
+#> Of these, there are 2 observation(s) within 5 secs that are not in overlapping containers.
+#> These simulataneous detections at non-overlapping receivers occurred at 15 unique receiver pair(s): 3-9, 12-44, 21-26, 21-57, 26-31, 41-47, 43-57, 45-56, 45-57, 46-54, 46-52, 47-52, 49-53, 50-51, 52-54.
+#> [1] "individual_id 28 -------"
+#> 239 observation(s) identified at another receiver within 5 secs.
+#> Of these, there are 111 observation(s) within 5 secs that are not in overlapping containers.
+#> These simulataneous detections at non-overlapping receivers occurred at 9 unique receiver pair(s): 3-9, 3-33, 21-30, 21-26, 21-57, 43-57, 49-53, 50-51, 45-56.
+#> [1] "individual_id 35 -------"
+#> 294 observation(s) identified at another receiver within 5 secs.
+#> Of these, there are 9 observation(s) within 5 secs that are not in overlapping containers.
+#> These simulataneous detections at non-overlapping receivers occurred at 6 unique receiver pair(s): 3-9, 3-33, 21-43, 21-45, 43-57, 45-57.
+## Test this hypothesis by re-implementing approach with larger containers
+# Re-define containers and receiver overlap
+containers <- get_detection_containers(xy, detection_range = 750, byid = TRUE)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+containers <- sp::SpatialPolygonsDataFrame(containers, containers_df)
+overlaps <- get_detection_containers_overlap(containers = containers)
+# Re-implement algorithm
+dat_by_id <-
+  lapply(split(dat_acoustics, dat_acoustics$individual_id),
+         function(acc_for_id){
+           print(paste("individual_id", acc_for_id$individual_id[1], "-------"))
+           get_detection_overlaps(acoustics = acc_for_id, overlaps = overlaps)
+         })
+#> [1] "individual_id 25 -------"
+#> 517 observation(s) identified at another receiver within 5 secs.
+#> Of these, there are 0 observation(s) within 5 secs that are not in overlapping containers.
+#> [1] "individual_id 28 -------"
+#> 239 observation(s) identified at another receiver within 5 secs.
+#> Of these, there are 0 observation(s) within 5 secs that are not in overlapping containers.
+#> [1] "individual_id 35 -------"
+#> 294 observation(s) identified at another receiver within 5 secs.
+#> Of these, there are 0 observation(s) within 5 secs that are not in overlapping containers.
+# There are now no observations within clock_drift at receivers with
+# ... non-overlapping containers.
+
+
    +
    +
    - - - + + diff --git a/docs/reference/get_detection_pr-1.png b/docs/reference/get_detection_pr-1.png index 25cfa9b..ab3cea7 100644 Binary files a/docs/reference/get_detection_pr-1.png and b/docs/reference/get_detection_pr-1.png differ diff --git a/docs/reference/get_detection_pr-2.png b/docs/reference/get_detection_pr-2.png index 5f86aca..cd34d43 100644 Binary files a/docs/reference/get_detection_pr-2.png and b/docs/reference/get_detection_pr-2.png differ diff --git a/docs/reference/get_detection_pr-3.png b/docs/reference/get_detection_pr-3.png index d6a7955..ff25775 100644 Binary files a/docs/reference/get_detection_pr-3.png and b/docs/reference/get_detection_pr-3.png differ diff --git a/docs/reference/get_detection_pr-4.png b/docs/reference/get_detection_pr-4.png index 3e71163..ec38f8c 100644 Binary files a/docs/reference/get_detection_pr-4.png and b/docs/reference/get_detection_pr-4.png differ diff --git a/docs/reference/get_detection_pr-5.png b/docs/reference/get_detection_pr-5.png index 25cfa9b..ab3cea7 100644 Binary files a/docs/reference/get_detection_pr-5.png and b/docs/reference/get_detection_pr-5.png differ diff --git a/docs/reference/get_detection_pr.html b/docs/reference/get_detection_pr.html index 655b028..005ae40 100644 --- a/docs/reference/get_detection_pr.html +++ b/docs/reference/get_detection_pr.html @@ -1,67 +1,12 @@ - - - - - - - -A detection probability function based on distance — get_detection_pr • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -A detection probability function based on distance — get_detection_pr • flapper - - + + - - -
    -
    - -
    - -
    +

    A detection probability function based on distance

    - Source: R/get_detections.R + Source: R/get_detections.R
    @@ -123,2531 +65,2541 @@

    A detection probability function based on distance

    This function calculates detection probability (e.g., of an acoustic detection) at specified distances from the sampling device (e.g., a passive acoustic telemetry receiver) using user-defined parameters (i.e., a model intercept, a coefficient for the effect of distance and an inverse link function). The function returns a plot of detection probability with distance and/or a vector of detection probabilities.

    - 
    get_detection_pr(
-  distance = 1:1000,
-  beta_0 = 2.5,
-  beta_1 = -0.01,
-  inv_link = stats::plogis,
-  output = 3L,
-  ...
-)
    +
    + 
    get_detection_pr(
+  distance = 1:1000,
+  beta_0 = 2.5,
+  beta_1 = -0.01,
+  inv_link = stats::plogis,
+  output = 3L,
+  ...
+)
    +
    + +
    +

    Arguments

    +
    distance
    +

    A numeric vector of distances at which to calculate detection probability.

    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - -
    distance

    A numeric vector of distances at which to calculate detection probability.

    beta_0, beta_1

    Single numbers that define the model coefficients (i.e., the intercept and gradient on the scale of the link function).

    inv_link

    A function that defines the inverse link function.The default function is the logistic (inverse logit) function.

    output

    An integer (1L, 2L or 3L) that defines the output type. 1L returns a plot of detection probability against distance; 2L returns a numeric vector of detection probabilities; and 3L returns both of the above.

    ...

    Additional arguments, passed to pretty_plot, to customise the plot. These are only implemented if output = 1L or output = 3L.

    -

    Value

    +
    beta_0, beta_1
    +

    Single numbers that define the model coefficients (i.e., the intercept and gradient on the scale of the link function).

    -

    The function calculates detection probability at each specified distance and returns a plot, a vector of detection probabilities, or both, depending on the value of the output argument. If a vector of detection probabilities is returned, this contains the following attributes: `X', the model matrix; `beta', the regression coefficients; and `inv_link', the inverse link function.

    -

    Author

    +
    inv_link
    +

    A function that defines the inverse link function. The default function is the logistic (inverse logit) function.

    + + +
    output
    +

    An integer (1L, 2L or 3L) that defines the output type. 1L returns a plot of detection probability against distance; 2L returns a numeric vector of detection probabilities; and 3L returns both of the above.

    + + +
    ...
    +

    Additional arguments, passed to pretty_plot, to customise the plot. These are only implemented if output = 1L or output = 3L.

    + +
    +
    +

    Value

    + + +

    The function calculates detection probability at each specified distance and returns a plot, a vector of detection probabilities, or both, depending on the value of the output argument. If a vector of detection probabilities is returned, this contains the following attributes: `X', the model matrix; `beta', the regression coefficients; and `inv_link', the inverse link function.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Implement the function using the default parameters
-# The function returns a graph and a vector of detection probabilities
-det_pr <- get_detection_pr()
-
    utils::head(det_pr)
-
    #> [1] 0.9234378 0.9227278 0.9220118 0.9212897 0.9205615 0.9198271
    # The vector has attributes:
-# ... 'X' (the model matrix)
-# ... 'beta' (the regression coefficient)
-# ... 'inv_link' (the inverse link function)
-utils::str(det_pr)
-
    #>  num [1:1000] 0.923 0.923 0.922 0.921 0.921 ...
-#>  - attr(*, "X")= num [1:1000, 1:2] 1 1 1 1 1 1 1 1 1 1 ...
-#>  - attr(*, "beta")= num [1:2, 1] 2.5 -0.01
-#>   ..- attr(*, "dimnames")=List of 2
-#>   .. ..$ : chr [1:2] "beta_0" "beta_1"
-#>   .. ..$ : NULL
-#>  - attr(*, "inv_link")=function (q, location = 0, scale = 1, lower.tail = TRUE, log.p = FALSE)  
    
-#### Example (2): Adjust model parameters
-# Change regression coefficients
-det_pr <- get_detection_pr(beta_0 = 2.5, beta_1 = -0.006)
-
    # Use inverse probit link function
-det_pr <- get_detection_pr(beta_0 = 2.5, beta_1 = -0.006, inv_link = stats::pnorm)
-
    
-#### Example (3): Modify graphical properties
-det_pr <- get_detection_pr(beta_0 = 2.5,
-                           beta_1 = -0.006,
-                           type = "l",
-                           xlab = "Distance (m)",
-                           ylab = "Detection Probability")
-
    
-#### Example (4): Modify return options
-# Only graph
-get_detection_pr(output = 1L)
-
    # Only values
-get_detection_pr(output = 2L)
-
    #>    [1] 0.9234378026 0.9227277979 0.9220117649 0.9212896628 0.9205614508
-#>    [6] 0.9198270878 0.9190865328 0.9183397445 0.9175866819 0.9168273035
-#>   [11] 0.9160615681 0.9152894343 0.9145108606 0.9137258055 0.9129342276
-#>   [16] 0.9121360852 0.9113313367 0.9105199407 0.9097018553 0.9088770390
-#>   [21] 0.9080454501 0.9072070469 0.9063617878 0.9055096310 0.9046505351
-#>   [26] 0.9037844583 0.9029113590 0.9020311957 0.9011439268 0.9002495109
-#>   [31] 0.8993479064 0.8984390721 0.8975229666 0.8965995485 0.8956687769
-#>   [36] 0.8947306105 0.8937850083 0.8928319295 0.8918713332 0.8909031788
-#>   [41] 0.8899274256 0.8889440333 0.8879529614 0.8869541699 0.8859476187
-#>   [46] 0.8849332680 0.8839110779 0.8828810091 0.8818430222 0.8807970780
-#>   [51] 0.8797431375 0.8786811621 0.8776111132 0.8765329524 0.8754466418
-#>   [56] 0.8743521435 0.8732494199 0.8721384337 0.8710191479 0.8698915256
-#>   [61] 0.8687555306 0.8676111265 0.8664582775 0.8652969480 0.8641271030
-#>   [66] 0.8629487074 0.8617617268 0.8605661270 0.8593618743 0.8581489351
-#>   [71] 0.8569272765 0.8556968659 0.8544576711 0.8532096602 0.8519528020
-#>   [76] 0.8506870655 0.8494124203 0.8481288363 0.8468362842 0.8455347349
-#>   [81] 0.8442241599 0.8429045311 0.8415758212 0.8402380031 0.8388910504
-#>   [86] 0.8375349374 0.8361696388 0.8347951298 0.8334113864 0.8320183851
-#>   [91] 0.8306161031 0.8292045180 0.8277836083 0.8263533530 0.8249137318
-#>   [96] 0.8234647252 0.8220063142 0.8205384806 0.8190612068 0.8175744762
-#>  [101] 0.8160782726 0.8145725807 0.8130573860 0.8115326748 0.8099984340
-#>  [106] 0.8084546514 0.8069013158 0.8053384164 0.8037659436 0.8021838886
-#>  [111] 0.8005922432 0.7989910002 0.7973801536 0.7957596977 0.7941296282
-#>  [116] 0.7924899414 0.7908406348 0.7891817065 0.7875131559 0.7858349830
-#>  [121] 0.7841471892 0.7824497764 0.7807427479 0.7790261078 0.7772998612
-#>  [126] 0.7755640143 0.7738185743 0.7720635494 0.7702989490 0.7685247835
-#>  [131] 0.7667410642 0.7649478038 0.7631450157 0.7613327148 0.7595109169
-#>  [136] 0.7576796390 0.7558388991 0.7539887164 0.7521291114 0.7502601056
-#>  [141] 0.7483817216 0.7464939833 0.7445969158 0.7426905453 0.7407748992
-#>  [146] 0.7388500061 0.7369158958 0.7349725995 0.7330201492 0.7310585786
-#>  [151] 0.7290879223 0.7271082163 0.7251194978 0.7231218051 0.7211151780
-#>  [156] 0.7190996574 0.7170752855 0.7150421057 0.7130001628 0.7109495026
-#>  [161] 0.7088901726 0.7068222211 0.7047456980 0.7026606543 0.7005671425
-#>  [166] 0.6984652160 0.6963549298 0.6942363401 0.6921095043 0.6899744811
-#>  [171] 0.6878313306 0.6856801139 0.6835208937 0.6813537338 0.6791786992
-#>  [176] 0.6769958562 0.6748052726 0.6726070171 0.6704011598 0.6681877722
-#>  [181] 0.6659669268 0.6637386974 0.6615031592 0.6592603885 0.6570104627
-#>  [186] 0.6547534606 0.6524894622 0.6502185486 0.6479408021 0.6456563062
-#>  [191] 0.6433651457 0.6410674063 0.6387631751 0.6364525403 0.6341355910
-#>  [196] 0.6318124177 0.6294831120 0.6271477663 0.6248064745 0.6224593312
-#>  [201] 0.6201064323 0.6177478748 0.6153837564 0.6130141761 0.6106392339
-#>  [206] 0.6082590307 0.6058736684 0.6034832499 0.6010878788 0.5986876601
-#>  [211] 0.5962826993 0.5938731029 0.5914589784 0.5890404341 0.5866175789
-#>  [216] 0.5841905229 0.5817593768 0.5793242521 0.5768852611 0.5744425168
-#>  [221] 0.5719961329 0.5695462239 0.5670929050 0.5646362918 0.5621765009
-#>  [226] 0.5597136493 0.5572478546 0.5547792351 0.5523079096 0.5498339973
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-#>  [441] 0.1289808521 0.1278615663 0.1267505801 0.1256478565 0.1245533582
-#>  [446] 0.1234670476 0.1223888868 0.1213188379 0.1202568625 0.1192029220
-#>  [451] 0.1181569778 0.1171189909 0.1160889221 0.1150667320 0.1140523813
-#>  [456] 0.1130458301 0.1120470386 0.1110559667 0.1100725744 0.1090968212
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-#>  [466] 0.1034004515 0.1024770334 0.1015609279 0.1006520936 0.0997504891
-#>  [471] 0.0988560732 0.0979688043 0.0970886410 0.0962155417 0.0953494649
-#>  [476] 0.0944903690 0.0936382122 0.0927929531 0.0919545499 0.0911229610
-#>  [481] 0.0902981447 0.0894800593 0.0886686633 0.0878639148 0.0870657724
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-#>  [491] 0.0824133181 0.0816602555 0.0809134672 0.0801729122 0.0794385492
-#>  [496] 0.0787103372 0.0779882351 0.0772722021 0.0765621974 0.0758581800
-#>  [501] 0.0751601095 0.0744679452 0.0737816466 0.0731011734 0.0724264854
-#>  [506] 0.0717575423 0.0710943041 0.0704367309 0.0697847829 0.0691384203
-#>  [511] 0.0684976037 0.0678622936 0.0672324506 0.0666080356 0.0659890095
-#>  [516] 0.0653753334 0.0647669686 0.0641638764 0.0635660183 0.0629733561
-#>  [521] 0.0623858514 0.0618034663 0.0612261628 0.0606539033 0.0600866502
-#>  [526] 0.0595243660 0.0589670135 0.0584145555 0.0578669553 0.0573241759
-#>  [531] 0.0567861808 0.0562529336 0.0557243979 0.0552005378 0.0546813172
-#>  [536] 0.0541667005 0.0536566520 0.0531511364 0.0526501184 0.0521535631
-#>  [541] 0.0516614355 0.0511737009 0.0506903249 0.0502112732 0.0497365116
-#>  [546] 0.0492660061 0.0487997230 0.0483376287 0.0478796898 0.0474258732
-#>  [551] 0.0469761457 0.0465304745 0.0460888270 0.0456511708 0.0452174735
-#>  [556] 0.0447877030 0.0443618276 0.0439398154 0.0435216350 0.0431072549
-#>  [561] 0.0426966442 0.0422897718 0.0418866071 0.0414871193 0.0410912782
-#>  [566] 0.0406990536 0.0403104154 0.0399253340 0.0395437796 0.0391657228
-#>  [571] 0.0387911345 0.0384199855 0.0380522471 0.0376878905 0.0373268873
-#>  [576] 0.0369692093 0.0366148283 0.0362637164 0.0359158459 0.0355711893
-#>  [581] 0.0352297192 0.0348914085 0.0345562303 0.0342241577 0.0338951642
-#>  [586] 0.0335692233 0.0332463088 0.0329263948 0.0326094553 0.0322954647
-#>  [591] 0.0319843975 0.0316762284 0.0313709322 0.0310684842 0.0307688594
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-#>  [611] 0.0263393196 0.0260840751 0.0258312385 0.0255807883 0.0253327032
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-#>  [641] 0.0196467699 0.0194550846 0.0192652326 0.0190771973 0.0188909619
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-#>  [701] 0.0108788100 0.0107717300 0.0106656927 0.0105606880 0.0104567062
-#>  [706] 0.0103537375 0.0102517723 0.0101508009 0.0100508139 0.0099518019
-#>  [711] 0.0098537555 0.0097566656 0.0096605230 0.0095653187 0.0094710436
-#>  [716] 0.0093776889 0.0092852457 0.0091937054 0.0091030592 0.0090132987
-#>  [721] 0.0089244152 0.0088364005 0.0087492461 0.0086629438 0.0085774854
-#>  [726] 0.0084928629 0.0084090681 0.0083260931 0.0082439301 0.0081625712
-#>  [731] 0.0080820086 0.0080022348 0.0079232421 0.0078450230 0.0077675701
-#>  [736] 0.0076908759 0.0076149331 0.0075397346 0.0074652730 0.0073915413
-#>  [741] 0.0073185325 0.0072462396 0.0071746556 0.0071037737 0.0070335872
-#>  [746] 0.0069640892 0.0068952731 0.0068271324 0.0067596605 0.0066928509
-#>  [751] 0.0066266972 0.0065611931 0.0064963323 0.0064321085 0.0063685155
-#>  [756] 0.0063055473 0.0062431977 0.0061814609 0.0061203308 0.0060598015
-#>  [761] 0.0059998672 0.0059405222 0.0058817607 0.0058235770 0.0057659656
-#>  [766] 0.0057089208 0.0056524372 0.0055965092 0.0055411316 0.0054862989
-#>  [771] 0.0054320058 0.0053782472 0.0053250177 0.0052723122 0.0052201257
-#>  [776] 0.0051684530 0.0051172892 0.0050666293 0.0050164684 0.0049668017
-#>  [781] 0.0049176242 0.0048689312 0.0048207181 0.0047729801 0.0047257126
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-#>  [801] 0.0040298024 0.0039898651 0.0039503222 0.0039111695 0.0038724034
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-#>  [971] 0.0007386112 0.0007312673 0.0007239963 0.0007167976 0.0007096704
-#>  [976] 0.0007026140 0.0006956278 0.0006887109 0.0006818628 0.0006750827
-#>  [981] 0.0006683700 0.0006617240 0.0006551441 0.0006486295 0.0006421797
-#>  [986] 0.0006357940 0.0006294717 0.0006232123 0.0006170150 0.0006108794
-#>  [991] 0.0006048047 0.0005987904 0.0005928358 0.0005869405 0.0005811037
-#>  [996] 0.0005753250 0.0005696037 0.0005639392 0.0005583311 0.0005527786
-#> attr(,"X")
-#>         [,1] [,2]
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-#>    [2,]    1    2
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-#>  [722,]    1  722
-#>  [723,]    1  723
-#>  [724,]    1  724
-#>  [725,]    1  725
-#>  [726,]    1  726
-#>  [727,]    1  727
-#>  [728,]    1  728
-#>  [729,]    1  729
-#>  [730,]    1  730
-#>  [731,]    1  731
-#>  [732,]    1  732
-#>  [733,]    1  733
-#>  [734,]    1  734
-#>  [735,]    1  735
-#>  [736,]    1  736
-#>  [737,]    1  737
-#>  [738,]    1  738
-#>  [739,]    1  739
-#>  [740,]    1  740
-#>  [741,]    1  741
-#>  [742,]    1  742
-#>  [743,]    1  743
-#>  [744,]    1  744
-#>  [745,]    1  745
-#>  [746,]    1  746
-#>  [747,]    1  747
-#>  [748,]    1  748
-#>  [749,]    1  749
-#>  [750,]    1  750
-#>  [751,]    1  751
-#>  [752,]    1  752
-#>  [753,]    1  753
-#>  [754,]    1  754
-#>  [755,]    1  755
-#>  [756,]    1  756
-#>  [757,]    1  757
-#>  [758,]    1  758
-#>  [759,]    1  759
-#>  [760,]    1  760
-#>  [761,]    1  761
-#>  [762,]    1  762
-#>  [763,]    1  763
-#>  [764,]    1  764
-#>  [765,]    1  765
-#>  [766,]    1  766
-#>  [767,]    1  767
-#>  [768,]    1  768
-#>  [769,]    1  769
-#>  [770,]    1  770
-#>  [771,]    1  771
-#>  [772,]    1  772
-#>  [773,]    1  773
-#>  [774,]    1  774
-#>  [775,]    1  775
-#>  [776,]    1  776
-#>  [777,]    1  777
-#>  [778,]    1  778
-#>  [779,]    1  779
-#>  [780,]    1  780
-#>  [781,]    1  781
-#>  [782,]    1  782
-#>  [783,]    1  783
-#>  [784,]    1  784
-#>  [785,]    1  785
-#>  [786,]    1  786
-#>  [787,]    1  787
-#>  [788,]    1  788
-#>  [789,]    1  789
-#>  [790,]    1  790
-#>  [791,]    1  791
-#>  [792,]    1  792
-#>  [793,]    1  793
-#>  [794,]    1  794
-#>  [795,]    1  795
-#>  [796,]    1  796
-#>  [797,]    1  797
-#>  [798,]    1  798
-#>  [799,]    1  799
-#>  [800,]    1  800
-#>  [801,]    1  801
-#>  [802,]    1  802
-#>  [803,]    1  803
-#>  [804,]    1  804
-#>  [805,]    1  805
-#>  [806,]    1  806
-#>  [807,]    1  807
-#>  [808,]    1  808
-#>  [809,]    1  809
-#>  [810,]    1  810
-#>  [811,]    1  811
-#>  [812,]    1  812
-#>  [813,]    1  813
-#>  [814,]    1  814
-#>  [815,]    1  815
-#>  [816,]    1  816
-#>  [817,]    1  817
-#>  [818,]    1  818
-#>  [819,]    1  819
-#>  [820,]    1  820
-#>  [821,]    1  821
-#>  [822,]    1  822
-#>  [823,]    1  823
-#>  [824,]    1  824
-#>  [825,]    1  825
-#>  [826,]    1  826
-#>  [827,]    1  827
-#>  [828,]    1  828
-#>  [829,]    1  829
-#>  [830,]    1  830
-#>  [831,]    1  831
-#>  [832,]    1  832
-#>  [833,]    1  833
-#>  [834,]    1  834
-#>  [835,]    1  835
-#>  [836,]    1  836
-#>  [837,]    1  837
-#>  [838,]    1  838
-#>  [839,]    1  839
-#>  [840,]    1  840
-#>  [841,]    1  841
-#>  [842,]    1  842
-#>  [843,]    1  843
-#>  [844,]    1  844
-#>  [845,]    1  845
-#>  [846,]    1  846
-#>  [847,]    1  847
-#>  [848,]    1  848
-#>  [849,]    1  849
-#>  [850,]    1  850
-#>  [851,]    1  851
-#>  [852,]    1  852
-#>  [853,]    1  853
-#>  [854,]    1  854
-#>  [855,]    1  855
-#>  [856,]    1  856
-#>  [857,]    1  857
-#>  [858,]    1  858
-#>  [859,]    1  859
-#>  [860,]    1  860
-#>  [861,]    1  861
-#>  [862,]    1  862
-#>  [863,]    1  863
-#>  [864,]    1  864
-#>  [865,]    1  865
-#>  [866,]    1  866
-#>  [867,]    1  867
-#>  [868,]    1  868
-#>  [869,]    1  869
-#>  [870,]    1  870
-#>  [871,]    1  871
-#>  [872,]    1  872
-#>  [873,]    1  873
-#>  [874,]    1  874
-#>  [875,]    1  875
-#>  [876,]    1  876
-#>  [877,]    1  877
-#>  [878,]    1  878
-#>  [879,]    1  879
-#>  [880,]    1  880
-#>  [881,]    1  881
-#>  [882,]    1  882
-#>  [883,]    1  883
-#>  [884,]    1  884
-#>  [885,]    1  885
-#>  [886,]    1  886
-#>  [887,]    1  887
-#>  [888,]    1  888
-#>  [889,]    1  889
-#>  [890,]    1  890
-#>  [891,]    1  891
-#>  [892,]    1  892
-#>  [893,]    1  893
-#>  [894,]    1  894
-#>  [895,]    1  895
-#>  [896,]    1  896
-#>  [897,]    1  897
-#>  [898,]    1  898
-#>  [899,]    1  899
-#>  [900,]    1  900
-#>  [901,]    1  901
-#>  [902,]    1  902
-#>  [903,]    1  903
-#>  [904,]    1  904
-#>  [905,]    1  905
-#>  [906,]    1  906
-#>  [907,]    1  907
-#>  [908,]    1  908
-#>  [909,]    1  909
-#>  [910,]    1  910
-#>  [911,]    1  911
-#>  [912,]    1  912
-#>  [913,]    1  913
-#>  [914,]    1  914
-#>  [915,]    1  915
-#>  [916,]    1  916
-#>  [917,]    1  917
-#>  [918,]    1  918
-#>  [919,]    1  919
-#>  [920,]    1  920
-#>  [921,]    1  921
-#>  [922,]    1  922
-#>  [923,]    1  923
-#>  [924,]    1  924
-#>  [925,]    1  925
-#>  [926,]    1  926
-#>  [927,]    1  927
-#>  [928,]    1  928
-#>  [929,]    1  929
-#>  [930,]    1  930
-#>  [931,]    1  931
-#>  [932,]    1  932
-#>  [933,]    1  933
-#>  [934,]    1  934
-#>  [935,]    1  935
-#>  [936,]    1  936
-#>  [937,]    1  937
-#>  [938,]    1  938
-#>  [939,]    1  939
-#>  [940,]    1  940
-#>  [941,]    1  941
-#>  [942,]    1  942
-#>  [943,]    1  943
-#>  [944,]    1  944
-#>  [945,]    1  945
-#>  [946,]    1  946
-#>  [947,]    1  947
-#>  [948,]    1  948
-#>  [949,]    1  949
-#>  [950,]    1  950
-#>  [951,]    1  951
-#>  [952,]    1  952
-#>  [953,]    1  953
-#>  [954,]    1  954
-#>  [955,]    1  955
-#>  [956,]    1  956
-#>  [957,]    1  957
-#>  [958,]    1  958
-#>  [959,]    1  959
-#>  [960,]    1  960
-#>  [961,]    1  961
-#>  [962,]    1  962
-#>  [963,]    1  963
-#>  [964,]    1  964
-#>  [965,]    1  965
-#>  [966,]    1  966
-#>  [967,]    1  967
-#>  [968,]    1  968
-#>  [969,]    1  969
-#>  [970,]    1  970
-#>  [971,]    1  971
-#>  [972,]    1  972
-#>  [973,]    1  973
-#>  [974,]    1  974
-#>  [975,]    1  975
-#>  [976,]    1  976
-#>  [977,]    1  977
-#>  [978,]    1  978
-#>  [979,]    1  979
-#>  [980,]    1  980
-#>  [981,]    1  981
-#>  [982,]    1  982
-#>  [983,]    1  983
-#>  [984,]    1  984
-#>  [985,]    1  985
-#>  [986,]    1  986
-#>  [987,]    1  987
-#>  [988,]    1  988
-#>  [989,]    1  989
-#>  [990,]    1  990
-#>  [991,]    1  991
-#>  [992,]    1  992
-#>  [993,]    1  993
-#>  [994,]    1  994
-#>  [995,]    1  995
-#>  [996,]    1  996
-#>  [997,]    1  997
-#>  [998,]    1  998
-#>  [999,]    1  999
-#> [1000,]    1 1000
-#> attr(,"beta")
-#>         [,1]
-#> beta_0  2.50
-#> beta_1 -0.01
-#> attr(,"inv_link")
-#> function (q, location = 0, scale = 1, lower.tail = TRUE, log.p = FALSE) 
-#> .Call(C_plogis, q, location, scale, lower.tail, log.p)
-#> <bytecode: 0x7fb85bcb6ca8>
-#> <environment: namespace:stats>
    # Both graph and values (the default)
-get_detection_pr(output = 3L)
-
    #>    [1] 0.9234378026 0.9227277979 0.9220117649 0.9212896628 0.9205614508
-#>    [6] 0.9198270878 0.9190865328 0.9183397445 0.9175866819 0.9168273035
-#>   [11] 0.9160615681 0.9152894343 0.9145108606 0.9137258055 0.9129342276
-#>   [16] 0.9121360852 0.9113313367 0.9105199407 0.9097018553 0.9088770390
-#>   [21] 0.9080454501 0.9072070469 0.9063617878 0.9055096310 0.9046505351
-#>   [26] 0.9037844583 0.9029113590 0.9020311957 0.9011439268 0.9002495109
-#>   [31] 0.8993479064 0.8984390721 0.8975229666 0.8965995485 0.8956687769
-#>   [36] 0.8947306105 0.8937850083 0.8928319295 0.8918713332 0.8909031788
-#>   [41] 0.8899274256 0.8889440333 0.8879529614 0.8869541699 0.8859476187
-#>   [46] 0.8849332680 0.8839110779 0.8828810091 0.8818430222 0.8807970780
-#>   [51] 0.8797431375 0.8786811621 0.8776111132 0.8765329524 0.8754466418
-#>   [56] 0.8743521435 0.8732494199 0.8721384337 0.8710191479 0.8698915256
-#>   [61] 0.8687555306 0.8676111265 0.8664582775 0.8652969480 0.8641271030
-#>   [66] 0.8629487074 0.8617617268 0.8605661270 0.8593618743 0.8581489351
-#>   [71] 0.8569272765 0.8556968659 0.8544576711 0.8532096602 0.8519528020
-#>   [76] 0.8506870655 0.8494124203 0.8481288363 0.8468362842 0.8455347349
-#>   [81] 0.8442241599 0.8429045311 0.8415758212 0.8402380031 0.8388910504
-#>   [86] 0.8375349374 0.8361696388 0.8347951298 0.8334113864 0.8320183851
-#>   [91] 0.8306161031 0.8292045180 0.8277836083 0.8263533530 0.8249137318
-#>   [96] 0.8234647252 0.8220063142 0.8205384806 0.8190612068 0.8175744762
-#>  [101] 0.8160782726 0.8145725807 0.8130573860 0.8115326748 0.8099984340
-#>  [106] 0.8084546514 0.8069013158 0.8053384164 0.8037659436 0.8021838886
-#>  [111] 0.8005922432 0.7989910002 0.7973801536 0.7957596977 0.7941296282
-#>  [116] 0.7924899414 0.7908406348 0.7891817065 0.7875131559 0.7858349830
-#>  [121] 0.7841471892 0.7824497764 0.7807427479 0.7790261078 0.7772998612
-#>  [126] 0.7755640143 0.7738185743 0.7720635494 0.7702989490 0.7685247835
-#>  [131] 0.7667410642 0.7649478038 0.7631450157 0.7613327148 0.7595109169
-#>  [136] 0.7576796390 0.7558388991 0.7539887164 0.7521291114 0.7502601056
-#>  [141] 0.7483817216 0.7464939833 0.7445969158 0.7426905453 0.7407748992
-#>  [146] 0.7388500061 0.7369158958 0.7349725995 0.7330201492 0.7310585786
-#>  [151] 0.7290879223 0.7271082163 0.7251194978 0.7231218051 0.7211151780
-#>  [156] 0.7190996574 0.7170752855 0.7150421057 0.7130001628 0.7109495026
-#>  [161] 0.7088901726 0.7068222211 0.7047456980 0.7026606543 0.7005671425
-#>  [166] 0.6984652160 0.6963549298 0.6942363401 0.6921095043 0.6899744811
-#>  [171] 0.6878313306 0.6856801139 0.6835208937 0.6813537338 0.6791786992
-#>  [176] 0.6769958562 0.6748052726 0.6726070171 0.6704011598 0.6681877722
-#>  [181] 0.6659669268 0.6637386974 0.6615031592 0.6592603885 0.6570104627
-#>  [186] 0.6547534606 0.6524894622 0.6502185486 0.6479408021 0.6456563062
-#>  [191] 0.6433651457 0.6410674063 0.6387631751 0.6364525403 0.6341355910
-#>  [196] 0.6318124177 0.6294831120 0.6271477663 0.6248064745 0.6224593312
-#>  [201] 0.6201064323 0.6177478748 0.6153837564 0.6130141761 0.6106392339
-#>  [206] 0.6082590307 0.6058736684 0.6034832499 0.6010878788 0.5986876601
-#>  [211] 0.5962826993 0.5938731029 0.5914589784 0.5890404341 0.5866175789
-#>  [216] 0.5841905229 0.5817593768 0.5793242521 0.5768852611 0.5744425168
-#>  [221] 0.5719961329 0.5695462239 0.5670929050 0.5646362918 0.5621765009
-#>  [226] 0.5597136493 0.5572478546 0.5547792351 0.5523079096 0.5498339973
-#>  [231] 0.5473576181 0.5448788924 0.5423979408 0.5399148846 0.5374298453
-#>  [236] 0.5349429452 0.5324543064 0.5299640518 0.5274723043 0.5249791875
-#>  [241] 0.5224848248 0.5199893402 0.5174928577 0.5149955016 0.5124973965
-#>  [246] 0.5099986669 0.5074994376 0.5049998333 0.5024999792 0.5000000000
-#>  [251] 0.4975000208 0.4950001667 0.4925005624 0.4900013331 0.4875026035
-#>  [256] 0.4850044984 0.4825071423 0.4800106598 0.4775151752 0.4750208125
-#>  [261] 0.4725276957 0.4700359482 0.4675456936 0.4650570548 0.4625701547
-#>  [266] 0.4600851154 0.4576020592 0.4551211076 0.4526423819 0.4501660027
-#>  [271] 0.4476920904 0.4452207649 0.4427521454 0.4402863507 0.4378234991
-#>  [276] 0.4353637082 0.4329070950 0.4304537761 0.4280038671 0.4255574832
-#>  [281] 0.4231147389 0.4206757479 0.4182406232 0.4158094771 0.4133824211
-#>  [286] 0.4109595659 0.4085410216 0.4061268971 0.4037173007 0.4013123399
-#>  [291] 0.3989121212 0.3965167501 0.3941263316 0.3917409693 0.3893607661
-#>  [296] 0.3869858239 0.3846162436 0.3822521252 0.3798935677 0.3775406688
-#>  [301] 0.3751935255 0.3728522337 0.3705168880 0.3681875823 0.3658644090
-#>  [306] 0.3635474597 0.3612368249 0.3589325937 0.3566348543 0.3543436938
-#>  [311] 0.3520591979 0.3497814514 0.3475105378 0.3452465394 0.3429895373
-#>  [316] 0.3407396115 0.3384968408 0.3362613026 0.3340330732 0.3318122278
-#>  [321] 0.3295988402 0.3273929829 0.3251947274 0.3230041438 0.3208213008
-#>  [326] 0.3186462662 0.3164791063 0.3143198861 0.3121686694 0.3100255189
-#>  [331] 0.3078904957 0.3057636599 0.3036450702 0.3015347840 0.2994328575
-#>  [336] 0.2973393457 0.2952543020 0.2931777789 0.2911098274 0.2890504974
-#>  [341] 0.2869998372 0.2849578943 0.2829247145 0.2809003426 0.2788848220
-#>  [346] 0.2768781949 0.2748805022 0.2728917837 0.2709120777 0.2689414214
-#>  [351] 0.2669798508 0.2650274005 0.2630841042 0.2611499939 0.2592251008
-#>  [356] 0.2573094547 0.2554030842 0.2535060167 0.2516182784 0.2497398944
-#>  [361] 0.2478708886 0.2460112836 0.2441611009 0.2423203610 0.2404890831
-#>  [366] 0.2386672852 0.2368549843 0.2350521962 0.2332589358 0.2314752165
-#>  [371] 0.2297010510 0.2279364506 0.2261814257 0.2244359857 0.2227001388
-#>  [376] 0.2209738922 0.2192572521 0.2175502236 0.2158528108 0.2141650170
-#>  [381] 0.2124868441 0.2108182935 0.2091593652 0.2075100586 0.2058703718
-#>  [386] 0.2042403023 0.2026198464 0.2010089998 0.1994077568 0.1978161114
-#>  [391] 0.1962340564 0.1946615836 0.1930986842 0.1915453486 0.1900015660
-#>  [396] 0.1884673252 0.1869426140 0.1854274193 0.1839217274 0.1824255238
-#>  [401] 0.1809387932 0.1794615194 0.1779936858 0.1765352748 0.1750862682
-#>  [406] 0.1736466470 0.1722163917 0.1707954820 0.1693838969 0.1679816149
-#>  [411] 0.1665886136 0.1652048702 0.1638303612 0.1624650626 0.1611089496
-#>  [416] 0.1597619969 0.1584241788 0.1570954689 0.1557758401 0.1544652651
-#>  [421] 0.1531637158 0.1518711637 0.1505875797 0.1493129345 0.1480471980
-#>  [426] 0.1467903398 0.1455423289 0.1443031341 0.1430727235 0.1418510649
-#>  [431] 0.1406381257 0.1394338730 0.1382382732 0.1370512926 0.1358728970
-#>  [436] 0.1347030520 0.1335417225 0.1323888735 0.1312444694 0.1301084744
-#>  [441] 0.1289808521 0.1278615663 0.1267505801 0.1256478565 0.1245533582
-#>  [446] 0.1234670476 0.1223888868 0.1213188379 0.1202568625 0.1192029220
-#>  [451] 0.1181569778 0.1171189909 0.1160889221 0.1150667320 0.1140523813
-#>  [456] 0.1130458301 0.1120470386 0.1110559667 0.1100725744 0.1090968212
-#>  [461] 0.1081286668 0.1071680705 0.1062149917 0.1052693895 0.1043312231
-#>  [466] 0.1034004515 0.1024770334 0.1015609279 0.1006520936 0.0997504891
-#>  [471] 0.0988560732 0.0979688043 0.0970886410 0.0962155417 0.0953494649
-#>  [476] 0.0944903690 0.0936382122 0.0927929531 0.0919545499 0.0911229610
-#>  [481] 0.0902981447 0.0894800593 0.0886686633 0.0878639148 0.0870657724
-#>  [486] 0.0862741945 0.0854891394 0.0847105657 0.0839384319 0.0831726965
-#>  [491] 0.0824133181 0.0816602555 0.0809134672 0.0801729122 0.0794385492
-#>  [496] 0.0787103372 0.0779882351 0.0772722021 0.0765621974 0.0758581800
-#>  [501] 0.0751601095 0.0744679452 0.0737816466 0.0731011734 0.0724264854
-#>  [506] 0.0717575423 0.0710943041 0.0704367309 0.0697847829 0.0691384203
-#>  [511] 0.0684976037 0.0678622936 0.0672324506 0.0666080356 0.0659890095
-#>  [516] 0.0653753334 0.0647669686 0.0641638764 0.0635660183 0.0629733561
-#>  [521] 0.0623858514 0.0618034663 0.0612261628 0.0606539033 0.0600866502
-#>  [526] 0.0595243660 0.0589670135 0.0584145555 0.0578669553 0.0573241759
-#>  [531] 0.0567861808 0.0562529336 0.0557243979 0.0552005378 0.0546813172
-#>  [536] 0.0541667005 0.0536566520 0.0531511364 0.0526501184 0.0521535631
-#>  [541] 0.0516614355 0.0511737009 0.0506903249 0.0502112732 0.0497365116
-#>  [546] 0.0492660061 0.0487997230 0.0483376287 0.0478796898 0.0474258732
-#>  [551] 0.0469761457 0.0465304745 0.0460888270 0.0456511708 0.0452174735
-#>  [556] 0.0447877030 0.0443618276 0.0439398154 0.0435216350 0.0431072549
-#>  [561] 0.0426966442 0.0422897718 0.0418866071 0.0414871193 0.0410912782
-#>  [566] 0.0406990536 0.0403104154 0.0399253340 0.0395437796 0.0391657228
-#>  [571] 0.0387911345 0.0384199855 0.0380522471 0.0376878905 0.0373268873
-#>  [576] 0.0369692093 0.0366148283 0.0362637164 0.0359158459 0.0355711893
-#>  [581] 0.0352297192 0.0348914085 0.0345562303 0.0342241577 0.0338951642
-#>  [586] 0.0335692233 0.0332463088 0.0329263948 0.0326094553 0.0322954647
-#>  [591] 0.0319843975 0.0316762284 0.0313709322 0.0310684842 0.0307688594
-#>  [596] 0.0304720333 0.0301779815 0.0298866798 0.0295981042 0.0293122308
-#>  [601] 0.0290290358 0.0287484959 0.0284705877 0.0281952880 0.0279225738
-#>  [606] 0.0276524223 0.0273848110 0.0271197172 0.0268571188 0.0265969936
-#>  [611] 0.0263393196 0.0260840751 0.0258312385 0.0255807883 0.0253327032
-#>  [616] 0.0250869622 0.0248435441 0.0246024284 0.0243635943 0.0241270214
-#>  [621] 0.0238926894 0.0236605782 0.0234306677 0.0232029381 0.0229773699
-#>  [626] 0.0227539435 0.0225326395 0.0223134387 0.0220963222 0.0218812709
-#>  [631] 0.0216682663 0.0214572897 0.0212483227 0.0210413470 0.0208363445
-#>  [636] 0.0206332972 0.0204321873 0.0202329971 0.0200357090 0.0198403057
-#>  [641] 0.0196467699 0.0194550846 0.0192652326 0.0190771973 0.0188909619
-#>  [646] 0.0187065100 0.0185238250 0.0183428907 0.0181636910 0.0179862100
-#>  [651] 0.0178104316 0.0176363403 0.0174639205 0.0172931566 0.0171240333
-#>  [656] 0.0169565355 0.0167906481 0.0166263561 0.0164636448 0.0163024994
-#>  [661] 0.0161429054 0.0159848483 0.0158283140 0.0156732881 0.0155197566
-#>  [666] 0.0153677056 0.0152171212 0.0150679898 0.0149202978 0.0147740317
-#>  [671] 0.0146291782 0.0144857240 0.0143436561 0.0142029614 0.0140636270
-#>  [676] 0.0139256403 0.0137889885 0.0136536591 0.0135196396 0.0133869178
-#>  [681] 0.0132554814 0.0131253183 0.0129964166 0.0128687642 0.0127423495
-#>  [686] 0.0126171607 0.0124931863 0.0123704147 0.0122488347 0.0121284350
-#>  [691] 0.0120092043 0.0118911316 0.0117742060 0.0116584166 0.0115437525
-#>  [696] 0.0114302031 0.0113177579 0.0112064063 0.0110961380 0.0109869426
-#>  [701] 0.0108788100 0.0107717300 0.0106656927 0.0105606880 0.0104567062
-#>  [706] 0.0103537375 0.0102517723 0.0101508009 0.0100508139 0.0099518019
-#>  [711] 0.0098537555 0.0097566656 0.0096605230 0.0095653187 0.0094710436
-#>  [716] 0.0093776889 0.0092852457 0.0091937054 0.0091030592 0.0090132987
-#>  [721] 0.0089244152 0.0088364005 0.0087492461 0.0086629438 0.0085774854
-#>  [726] 0.0084928629 0.0084090681 0.0083260931 0.0082439301 0.0081625712
-#>  [731] 0.0080820086 0.0080022348 0.0079232421 0.0078450230 0.0077675701
-#>  [736] 0.0076908759 0.0076149331 0.0075397346 0.0074652730 0.0073915413
-#>  [741] 0.0073185325 0.0072462396 0.0071746556 0.0071037737 0.0070335872
-#>  [746] 0.0069640892 0.0068952731 0.0068271324 0.0067596605 0.0066928509
-#>  [751] 0.0066266972 0.0065611931 0.0064963323 0.0064321085 0.0063685155
-#>  [756] 0.0063055473 0.0062431977 0.0061814609 0.0061203308 0.0060598015
-#>  [761] 0.0059998672 0.0059405222 0.0058817607 0.0058235770 0.0057659656
-#>  [766] 0.0057089208 0.0056524372 0.0055965092 0.0055411316 0.0054862989
-#>  [771] 0.0054320058 0.0053782472 0.0053250177 0.0052723122 0.0052201257
-#>  [776] 0.0051684530 0.0051172892 0.0050666293 0.0050164684 0.0049668017
-#>  [781] 0.0049176242 0.0048689312 0.0048207181 0.0047729801 0.0047257126
-#>  [786] 0.0046789110 0.0046325707 0.0045866873 0.0045412562 0.0044962732
-#>  [791] 0.0044517337 0.0044076334 0.0043639681 0.0043207335 0.0042779254
-#>  [796] 0.0042355396 0.0041935721 0.0041520186 0.0041108751 0.0040701377
-#>  [801] 0.0040298024 0.0039898651 0.0039503222 0.0039111695 0.0038724034
-#>  [806] 0.0038340201 0.0037960158 0.0037583868 0.0037211293 0.0036842399
-#>  [811] 0.0036477148 0.0036115505 0.0035757435 0.0035402902 0.0035051872
-#>  [816] 0.0034704311 0.0034360183 0.0034019457 0.0033682098 0.0033348073
-#>  [821] 0.0033017350 0.0032689896 0.0032365678 0.0032044667 0.0031726828
-#>  [826] 0.0031412133 0.0031100549 0.0030792046 0.0030486594 0.0030184163
-#>  [831] 0.0029884723 0.0029588245 0.0029294700 0.0029004058 0.0028716292
-#>  [836] 0.0028431372 0.0028149272 0.0027869962 0.0027593417 0.0027319608
-#>  [841] 0.0027048508 0.0026780092 0.0026514332 0.0026251203 0.0025990678
-#>  [846] 0.0025732732 0.0025477339 0.0025224475 0.0024974114 0.0024726232
-#>  [851] 0.0024480804 0.0024237806 0.0023997215 0.0023759006 0.0023523156
-#>  [856] 0.0023289642 0.0023058440 0.0022829529 0.0022602884 0.0022378485
-#>  [861] 0.0022156309 0.0021936334 0.0021718537 0.0021502899 0.0021289397
-#>  [866] 0.0021078011 0.0020868719 0.0020661500 0.0020456336 0.0020253204
-#>  [871] 0.0020052085 0.0019852960 0.0019655808 0.0019460610 0.0019267347
-#>  [876] 0.0019075999 0.0018886548 0.0018698975 0.0018513262 0.0018329389
-#>  [881] 0.0018147340 0.0017967095 0.0017788638 0.0017611950 0.0017437013
-#>  [886] 0.0017263812 0.0017092327 0.0016922544 0.0016754444 0.0016588011
-#>  [891] 0.0016423228 0.0016260080 0.0016098550 0.0015938622 0.0015780281
-#>  [896] 0.0015623510 0.0015468293 0.0015314617 0.0015162465 0.0015011823
-#>  [901] 0.0014862674 0.0014715006 0.0014568803 0.0014424050 0.0014280733
-#>  [906] 0.0014138838 0.0013998351 0.0013859258 0.0013721546 0.0013585200
-#>  [911] 0.0013450206 0.0013316553 0.0013184226 0.0013053212 0.0012923498
-#>  [916] 0.0012795071 0.0012667920 0.0012542030 0.0012417389 0.0012293986
-#>  [921] 0.0012171808 0.0012050842 0.0011931078 0.0011812502 0.0011695103
-#>  [926] 0.0011578869 0.0011463790 0.0011349852 0.0011237046 0.0011125360
-#>  [931] 0.0011014783 0.0010905304 0.0010796911 0.0010689595 0.0010583344
-#>  [936] 0.0010478149 0.0010373997 0.0010270881 0.0010168787 0.0010067708
-#>  [941] 0.0009967633 0.0009868551 0.0009770453 0.0009673330 0.0009577171
-#>  [946] 0.0009481966 0.0009387708 0.0009294385 0.0009201990 0.0009110512
-#>  [951] 0.0009019943 0.0008930273 0.0008841494 0.0008753596 0.0008666572
-#>  [956] 0.0008580412 0.0008495108 0.0008410652 0.0008327034 0.0008244247
-#>  [961] 0.0008162282 0.0008081132 0.0008000787 0.0007921241 0.0007842486
-#>  [966] 0.0007764512 0.0007687313 0.0007610881 0.0007535209 0.0007460288
-#>  [971] 0.0007386112 0.0007312673 0.0007239963 0.0007167976 0.0007096704
-#>  [976] 0.0007026140 0.0006956278 0.0006887109 0.0006818628 0.0006750827
-#>  [981] 0.0006683700 0.0006617240 0.0006551441 0.0006486295 0.0006421797
-#>  [986] 0.0006357940 0.0006294717 0.0006232123 0.0006170150 0.0006108794
-#>  [991] 0.0006048047 0.0005987904 0.0005928358 0.0005869405 0.0005811037
-#>  [996] 0.0005753250 0.0005696037 0.0005639392 0.0005583311 0.0005527786
-#> attr(,"X")
-#>         [,1] [,2]
-#>    [1,]    1    1
-#>    [2,]    1    2
-#>    [3,]    1    3
-#>    [4,]    1    4
-#>    [5,]    1    5
-#>    [6,]    1    6
-#>    [7,]    1    7
-#>    [8,]    1    8
-#>    [9,]    1    9
-#>   [10,]    1   10
-#>   [11,]    1   11
-#>   [12,]    1   12
-#>   [13,]    1   13
-#>   [14,]    1   14
-#>   [15,]    1   15
-#>   [16,]    1   16
-#>   [17,]    1   17
-#>   [18,]    1   18
-#>   [19,]    1   19
-#>   [20,]    1   20
-#>   [21,]    1   21
-#>   [22,]    1   22
-#>   [23,]    1   23
-#>   [24,]    1   24
-#>   [25,]    1   25
-#>   [26,]    1   26
-#>   [27,]    1   27
-#>   [28,]    1   28
-#>   [29,]    1   29
-#>   [30,]    1   30
-#>   [31,]    1   31
-#>   [32,]    1   32
-#>   [33,]    1   33
-#>   [34,]    1   34
-#>   [35,]    1   35
-#>   [36,]    1   36
-#>   [37,]    1   37
-#>   [38,]    1   38
-#>   [39,]    1   39
-#>   [40,]    1   40
-#>   [41,]    1   41
-#>   [42,]    1   42
-#>   [43,]    1   43
-#>   [44,]    1   44
-#>   [45,]    1   45
-#>   [46,]    1   46
-#>   [47,]    1   47
-#>   [48,]    1   48
-#>   [49,]    1   49
-#>   [50,]    1   50
-#>   [51,]    1   51
-#>   [52,]    1   52
-#>   [53,]    1   53
-#>   [54,]    1   54
-#>   [55,]    1   55
-#>   [56,]    1   56
-#>   [57,]    1   57
-#>   [58,]    1   58
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-#>   [60,]    1   60
-#>   [61,]    1   61
-#>   [62,]    1   62
-#>   [63,]    1   63
-#>   [64,]    1   64
-#>   [65,]    1   65
-#>   [66,]    1   66
-#>   [67,]    1   67
-#>   [68,]    1   68
-#>   [69,]    1   69
-#>   [70,]    1   70
-#>   [71,]    1   71
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-#>   [73,]    1   73
-#>   [74,]    1   74
-#>   [75,]    1   75
-#>   [76,]    1   76
-#>   [77,]    1   77
-#>   [78,]    1   78
-#>   [79,]    1   79
-#>   [80,]    1   80
-#>   [81,]    1   81
-#>   [82,]    1   82
-#>   [83,]    1   83
-#>   [84,]    1   84
-#>   [85,]    1   85
-#>   [86,]    1   86
-#>   [87,]    1   87
-#>   [88,]    1   88
-#>   [89,]    1   89
-#>   [90,]    1   90
-#>   [91,]    1   91
-#>   [92,]    1   92
-#>   [93,]    1   93
-#>   [94,]    1   94
-#>   [95,]    1   95
-#>   [96,]    1   96
-#>   [97,]    1   97
-#>   [98,]    1   98
-#>   [99,]    1   99
-#>  [100,]    1  100
-#>  [101,]    1  101
-#>  [102,]    1  102
-#>  [103,]    1  103
-#>  [104,]    1  104
-#>  [105,]    1  105
-#>  [106,]    1  106
-#>  [107,]    1  107
-#>  [108,]    1  108
-#>  [109,]    1  109
-#>  [110,]    1  110
-#>  [111,]    1  111
-#>  [112,]    1  112
-#>  [113,]    1  113
-#>  [114,]    1  114
-#>  [115,]    1  115
-#>  [116,]    1  116
-#>  [117,]    1  117
-#>  [118,]    1  118
-#>  [119,]    1  119
-#>  [120,]    1  120
-#>  [121,]    1  121
-#>  [122,]    1  122
-#>  [123,]    1  123
-#>  [124,]    1  124
-#>  [125,]    1  125
-#>  [126,]    1  126
-#>  [127,]    1  127
-#>  [128,]    1  128
-#>  [129,]    1  129
-#>  [130,]    1  130
-#>  [131,]    1  131
-#>  [132,]    1  132
-#>  [133,]    1  133
-#>  [134,]    1  134
-#>  [135,]    1  135
-#>  [136,]    1  136
-#>  [137,]    1  137
-#>  [138,]    1  138
-#>  [139,]    1  139
-#>  [140,]    1  140
-#>  [141,]    1  141
-#>  [142,]    1  142
-#>  [143,]    1  143
-#>  [144,]    1  144
-#>  [145,]    1  145
-#>  [146,]    1  146
-#>  [147,]    1  147
-#>  [148,]    1  148
-#>  [149,]    1  149
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-#>  [151,]    1  151
-#>  [152,]    1  152
-#>  [153,]    1  153
-#>  [154,]    1  154
-#>  [155,]    1  155
-#>  [156,]    1  156
-#>  [157,]    1  157
-#>  [158,]    1  158
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-#>  [160,]    1  160
-#>  [161,]    1  161
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-#>  [165,]    1  165
-#>  [166,]    1  166
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-#>  [175,]    1  175
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-#>  [177,]    1  177
-#>  [178,]    1  178
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-#>  [180,]    1  180
-#>  [181,]    1  181
-#>  [182,]    1  182
-#>  [183,]    1  183
-#>  [184,]    1  184
-#>  [185,]    1  185
-#>  [186,]    1  186
-#>  [187,]    1  187
-#>  [188,]    1  188
-#>  [189,]    1  189
-#>  [190,]    1  190
-#>  [191,]    1  191
-#>  [192,]    1  192
-#>  [193,]    1  193
-#>  [194,]    1  194
-#>  [195,]    1  195
-#>  [196,]    1  196
-#>  [197,]    1  197
-#>  [198,]    1  198
-#>  [199,]    1  199
-#>  [200,]    1  200
-#>  [201,]    1  201
-#>  [202,]    1  202
-#>  [203,]    1  203
-#>  [204,]    1  204
-#>  [205,]    1  205
-#>  [206,]    1  206
-#>  [207,]    1  207
-#>  [208,]    1  208
-#>  [209,]    1  209
-#>  [210,]    1  210
-#>  [211,]    1  211
-#>  [212,]    1  212
-#>  [213,]    1  213
-#>  [214,]    1  214
-#>  [215,]    1  215
-#>  [216,]    1  216
-#>  [217,]    1  217
-#>  [218,]    1  218
-#>  [219,]    1  219
-#>  [220,]    1  220
-#>  [221,]    1  221
-#>  [222,]    1  222
-#>  [223,]    1  223
-#>  [224,]    1  224
-#>  [225,]    1  225
-#>  [226,]    1  226
-#>  [227,]    1  227
-#>  [228,]    1  228
-#>  [229,]    1  229
-#>  [230,]    1  230
-#>  [231,]    1  231
-#>  [232,]    1  232
-#>  [233,]    1  233
-#>  [234,]    1  234
-#>  [235,]    1  235
-#>  [236,]    1  236
-#>  [237,]    1  237
-#>  [238,]    1  238
-#>  [239,]    1  239
-#>  [240,]    1  240
-#>  [241,]    1  241
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-#>  [243,]    1  243
-#>  [244,]    1  244
-#>  [245,]    1  245
-#>  [246,]    1  246
-#>  [247,]    1  247
-#>  [248,]    1  248
-#>  [249,]    1  249
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-#>  [251,]    1  251
-#>  [252,]    1  252
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-#>  [254,]    1  254
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-#>  [256,]    1  256
-#>  [257,]    1  257
-#>  [258,]    1  258
-#>  [259,]    1  259
-#>  [260,]    1  260
-#>  [261,]    1  261
-#>  [262,]    1  262
-#>  [263,]    1  263
-#>  [264,]    1  264
-#>  [265,]    1  265
-#>  [266,]    1  266
-#>  [267,]    1  267
-#>  [268,]    1  268
-#>  [269,]    1  269
-#>  [270,]    1  270
-#>  [271,]    1  271
-#>  [272,]    1  272
-#>  [273,]    1  273
-#>  [274,]    1  274
-#>  [275,]    1  275
-#>  [276,]    1  276
-#>  [277,]    1  277
-#>  [278,]    1  278
-#>  [279,]    1  279
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-#>  [855,]    1  855
-#>  [856,]    1  856
-#>  [857,]    1  857
-#>  [858,]    1  858
-#>  [859,]    1  859
-#>  [860,]    1  860
-#>  [861,]    1  861
-#>  [862,]    1  862
-#>  [863,]    1  863
-#>  [864,]    1  864
-#>  [865,]    1  865
-#>  [866,]    1  866
-#>  [867,]    1  867
-#>  [868,]    1  868
-#>  [869,]    1  869
-#>  [870,]    1  870
-#>  [871,]    1  871
-#>  [872,]    1  872
-#>  [873,]    1  873
-#>  [874,]    1  874
-#>  [875,]    1  875
-#>  [876,]    1  876
-#>  [877,]    1  877
-#>  [878,]    1  878
-#>  [879,]    1  879
-#>  [880,]    1  880
-#>  [881,]    1  881
-#>  [882,]    1  882
-#>  [883,]    1  883
-#>  [884,]    1  884
-#>  [885,]    1  885
-#>  [886,]    1  886
-#>  [887,]    1  887
-#>  [888,]    1  888
-#>  [889,]    1  889
-#>  [890,]    1  890
-#>  [891,]    1  891
-#>  [892,]    1  892
-#>  [893,]    1  893
-#>  [894,]    1  894
-#>  [895,]    1  895
-#>  [896,]    1  896
-#>  [897,]    1  897
-#>  [898,]    1  898
-#>  [899,]    1  899
-#>  [900,]    1  900
-#>  [901,]    1  901
-#>  [902,]    1  902
-#>  [903,]    1  903
-#>  [904,]    1  904
-#>  [905,]    1  905
-#>  [906,]    1  906
-#>  [907,]    1  907
-#>  [908,]    1  908
-#>  [909,]    1  909
-#>  [910,]    1  910
-#>  [911,]    1  911
-#>  [912,]    1  912
-#>  [913,]    1  913
-#>  [914,]    1  914
-#>  [915,]    1  915
-#>  [916,]    1  916
-#>  [917,]    1  917
-#>  [918,]    1  918
-#>  [919,]    1  919
-#>  [920,]    1  920
-#>  [921,]    1  921
-#>  [922,]    1  922
-#>  [923,]    1  923
-#>  [924,]    1  924
-#>  [925,]    1  925
-#>  [926,]    1  926
-#>  [927,]    1  927
-#>  [928,]    1  928
-#>  [929,]    1  929
-#>  [930,]    1  930
-#>  [931,]    1  931
-#>  [932,]    1  932
-#>  [933,]    1  933
-#>  [934,]    1  934
-#>  [935,]    1  935
-#>  [936,]    1  936
-#>  [937,]    1  937
-#>  [938,]    1  938
-#>  [939,]    1  939
-#>  [940,]    1  940
-#>  [941,]    1  941
-#>  [942,]    1  942
-#>  [943,]    1  943
-#>  [944,]    1  944
-#>  [945,]    1  945
-#>  [946,]    1  946
-#>  [947,]    1  947
-#>  [948,]    1  948
-#>  [949,]    1  949
-#>  [950,]    1  950
-#>  [951,]    1  951
-#>  [952,]    1  952
-#>  [953,]    1  953
-#>  [954,]    1  954
-#>  [955,]    1  955
-#>  [956,]    1  956
-#>  [957,]    1  957
-#>  [958,]    1  958
-#>  [959,]    1  959
-#>  [960,]    1  960
-#>  [961,]    1  961
-#>  [962,]    1  962
-#>  [963,]    1  963
-#>  [964,]    1  964
-#>  [965,]    1  965
-#>  [966,]    1  966
-#>  [967,]    1  967
-#>  [968,]    1  968
-#>  [969,]    1  969
-#>  [970,]    1  970
-#>  [971,]    1  971
-#>  [972,]    1  972
-#>  [973,]    1  973
-#>  [974,]    1  974
-#>  [975,]    1  975
-#>  [976,]    1  976
-#>  [977,]    1  977
-#>  [978,]    1  978
-#>  [979,]    1  979
-#>  [980,]    1  980
-#>  [981,]    1  981
-#>  [982,]    1  982
-#>  [983,]    1  983
-#>  [984,]    1  984
-#>  [985,]    1  985
-#>  [986,]    1  986
-#>  [987,]    1  987
-#>  [988,]    1  988
-#>  [989,]    1  989
-#>  [990,]    1  990
-#>  [991,]    1  991
-#>  [992,]    1  992
-#>  [993,]    1  993
-#>  [994,]    1  994
-#>  [995,]    1  995
-#>  [996,]    1  996
-#>  [997,]    1  997
-#>  [998,]    1  998
-#>  [999,]    1  999
-#> [1000,]    1 1000
-#> attr(,"beta")
-#>         [,1]
-#> beta_0  2.50
-#> beta_1 -0.01
-#> attr(,"inv_link")
-#> function (q, location = 0, scale = 1, lower.tail = TRUE, log.p = FALSE) 
-#> .Call(C_plogis, q, location, scale, lower.tail, log.p)
-#> <bytecode: 0x7fb85bcb6ca8>
-#> <environment: namespace:stats>
    
-
    +
    +

    Examples

    + 
    #### Example (1): Implement the function using the default parameters
+# The function returns a graph and a vector of detection probabilities
+det_pr <- get_detection_pr()
+
+utils::head(det_pr)
+#> [1] 0.9234378 0.9227278 0.9220118 0.9212897 0.9205615 0.9198271
+# The vector has attributes:
+# ... 'X' (the model matrix)
+# ... 'beta' (the regression coefficient)
+# ... 'inv_link' (the inverse link function)
+utils::str(det_pr)
+#>  num [1:1000] 0.923 0.923 0.922 0.921 0.921 ...
+#>  - attr(*, "X")= num [1:1000, 1:2] 1 1 1 1 1 1 1 1 1 1 ...
+#>  - attr(*, "beta")= num [1:2, 1] 2.5 -0.01
+#>   ..- attr(*, "dimnames")=List of 2
+#>   .. ..$ : chr [1:2] "beta_0" "beta_1"
+#>   .. ..$ : NULL
+#>  - attr(*, "inv_link")=function (q, location = 0, scale = 1, lower.tail = TRUE, log.p = FALSE)  
+
+#### Example (2): Adjust model parameters
+# Change regression coefficients
+det_pr <- get_detection_pr(beta_0 = 2.5, beta_1 = -0.006)
+
+# Use inverse probit link function
+det_pr <- get_detection_pr(beta_0 = 2.5, beta_1 = -0.006, inv_link = stats::pnorm)
+
+
+#### Example (3): Modify graphical properties
+det_pr <- get_detection_pr(beta_0 = 2.5,
+                           beta_1 = -0.006,
+                           type = "l",
+                           xlab = "Distance (m)",
+                           ylab = "Detection Probability")
+
+
+#### Example (4): Modify return options
+# Only graph
+get_detection_pr(output = 1L)
+
+# Only values
+get_detection_pr(output = 2L)
+#>    [1] 0.9234378026 0.9227277979 0.9220117649 0.9212896628 0.9205614508
+#>    [6] 0.9198270878 0.9190865328 0.9183397445 0.9175866819 0.9168273035
+#>   [11] 0.9160615681 0.9152894343 0.9145108606 0.9137258055 0.9129342276
+#>   [16] 0.9121360852 0.9113313367 0.9105199407 0.9097018553 0.9088770390
+#>   [21] 0.9080454501 0.9072070469 0.9063617878 0.9055096310 0.9046505351
+#>   [26] 0.9037844583 0.9029113590 0.9020311957 0.9011439268 0.9002495109
+#>   [31] 0.8993479064 0.8984390721 0.8975229666 0.8965995485 0.8956687769
+#>   [36] 0.8947306105 0.8937850083 0.8928319295 0.8918713332 0.8909031788
+#>   [41] 0.8899274256 0.8889440333 0.8879529614 0.8869541699 0.8859476187
+#>   [46] 0.8849332680 0.8839110779 0.8828810091 0.8818430222 0.8807970780
+#>   [51] 0.8797431375 0.8786811621 0.8776111132 0.8765329524 0.8754466418
+#>   [56] 0.8743521435 0.8732494199 0.8721384337 0.8710191479 0.8698915256
+#>   [61] 0.8687555306 0.8676111265 0.8664582775 0.8652969480 0.8641271030
+#>   [66] 0.8629487074 0.8617617268 0.8605661270 0.8593618743 0.8581489351
+#>   [71] 0.8569272765 0.8556968659 0.8544576711 0.8532096602 0.8519528020
+#>   [76] 0.8506870655 0.8494124203 0.8481288363 0.8468362842 0.8455347349
+#>   [81] 0.8442241599 0.8429045311 0.8415758212 0.8402380031 0.8388910504
+#>   [86] 0.8375349374 0.8361696388 0.8347951298 0.8334113864 0.8320183851
+#>   [91] 0.8306161031 0.8292045180 0.8277836083 0.8263533530 0.8249137318
+#>   [96] 0.8234647252 0.8220063142 0.8205384806 0.8190612068 0.8175744762
+#>  [101] 0.8160782726 0.8145725807 0.8130573860 0.8115326748 0.8099984340
+#>  [106] 0.8084546514 0.8069013158 0.8053384164 0.8037659436 0.8021838886
+#>  [111] 0.8005922432 0.7989910002 0.7973801536 0.7957596977 0.7941296282
+#>  [116] 0.7924899414 0.7908406348 0.7891817065 0.7875131559 0.7858349830
+#>  [121] 0.7841471892 0.7824497764 0.7807427479 0.7790261078 0.7772998612
+#>  [126] 0.7755640143 0.7738185743 0.7720635494 0.7702989490 0.7685247835
+#>  [131] 0.7667410642 0.7649478038 0.7631450157 0.7613327148 0.7595109169
+#>  [136] 0.7576796390 0.7558388991 0.7539887164 0.7521291114 0.7502601056
+#>  [141] 0.7483817216 0.7464939833 0.7445969158 0.7426905453 0.7407748992
+#>  [146] 0.7388500061 0.7369158958 0.7349725995 0.7330201492 0.7310585786
+#>  [151] 0.7290879223 0.7271082163 0.7251194978 0.7231218051 0.7211151780
+#>  [156] 0.7190996574 0.7170752855 0.7150421057 0.7130001628 0.7109495026
+#>  [161] 0.7088901726 0.7068222211 0.7047456980 0.7026606543 0.7005671425
+#>  [166] 0.6984652160 0.6963549298 0.6942363401 0.6921095043 0.6899744811
+#>  [171] 0.6878313306 0.6856801139 0.6835208937 0.6813537338 0.6791786992
+#>  [176] 0.6769958562 0.6748052726 0.6726070171 0.6704011598 0.6681877722
+#>  [181] 0.6659669268 0.6637386974 0.6615031592 0.6592603885 0.6570104627
+#>  [186] 0.6547534606 0.6524894622 0.6502185486 0.6479408021 0.6456563062
+#>  [191] 0.6433651457 0.6410674063 0.6387631751 0.6364525403 0.6341355910
+#>  [196] 0.6318124177 0.6294831120 0.6271477663 0.6248064745 0.6224593312
+#>  [201] 0.6201064323 0.6177478748 0.6153837564 0.6130141761 0.6106392339
+#>  [206] 0.6082590307 0.6058736684 0.6034832499 0.6010878788 0.5986876601
+#>  [211] 0.5962826993 0.5938731029 0.5914589784 0.5890404341 0.5866175789
+#>  [216] 0.5841905229 0.5817593768 0.5793242521 0.5768852611 0.5744425168
+#>  [221] 0.5719961329 0.5695462239 0.5670929050 0.5646362918 0.5621765009
+#>  [226] 0.5597136493 0.5572478546 0.5547792351 0.5523079096 0.5498339973
+#>  [231] 0.5473576181 0.5448788924 0.5423979408 0.5399148846 0.5374298453
+#>  [236] 0.5349429452 0.5324543064 0.5299640518 0.5274723043 0.5249791875
+#>  [241] 0.5224848248 0.5199893402 0.5174928577 0.5149955016 0.5124973965
+#>  [246] 0.5099986669 0.5074994376 0.5049998333 0.5024999792 0.5000000000
+#>  [251] 0.4975000208 0.4950001667 0.4925005624 0.4900013331 0.4875026035
+#>  [256] 0.4850044984 0.4825071423 0.4800106598 0.4775151752 0.4750208125
+#>  [261] 0.4725276957 0.4700359482 0.4675456936 0.4650570548 0.4625701547
+#>  [266] 0.4600851154 0.4576020592 0.4551211076 0.4526423819 0.4501660027
+#>  [271] 0.4476920904 0.4452207649 0.4427521454 0.4402863507 0.4378234991
+#>  [276] 0.4353637082 0.4329070950 0.4304537761 0.4280038671 0.4255574832
+#>  [281] 0.4231147389 0.4206757479 0.4182406232 0.4158094771 0.4133824211
+#>  [286] 0.4109595659 0.4085410216 0.4061268971 0.4037173007 0.4013123399
+#>  [291] 0.3989121212 0.3965167501 0.3941263316 0.3917409693 0.3893607661
+#>  [296] 0.3869858239 0.3846162436 0.3822521252 0.3798935677 0.3775406688
+#>  [301] 0.3751935255 0.3728522337 0.3705168880 0.3681875823 0.3658644090
+#>  [306] 0.3635474597 0.3612368249 0.3589325937 0.3566348543 0.3543436938
+#>  [311] 0.3520591979 0.3497814514 0.3475105378 0.3452465394 0.3429895373
+#>  [316] 0.3407396115 0.3384968408 0.3362613026 0.3340330732 0.3318122278
+#>  [321] 0.3295988402 0.3273929829 0.3251947274 0.3230041438 0.3208213008
+#>  [326] 0.3186462662 0.3164791063 0.3143198861 0.3121686694 0.3100255189
+#>  [331] 0.3078904957 0.3057636599 0.3036450702 0.3015347840 0.2994328575
+#>  [336] 0.2973393457 0.2952543020 0.2931777789 0.2911098274 0.2890504974
+#>  [341] 0.2869998372 0.2849578943 0.2829247145 0.2809003426 0.2788848220
+#>  [346] 0.2768781949 0.2748805022 0.2728917837 0.2709120777 0.2689414214
+#>  [351] 0.2669798508 0.2650274005 0.2630841042 0.2611499939 0.2592251008
+#>  [356] 0.2573094547 0.2554030842 0.2535060167 0.2516182784 0.2497398944
+#>  [361] 0.2478708886 0.2460112836 0.2441611009 0.2423203610 0.2404890831
+#>  [366] 0.2386672852 0.2368549843 0.2350521962 0.2332589358 0.2314752165
+#>  [371] 0.2297010510 0.2279364506 0.2261814257 0.2244359857 0.2227001388
+#>  [376] 0.2209738922 0.2192572521 0.2175502236 0.2158528108 0.2141650170
+#>  [381] 0.2124868441 0.2108182935 0.2091593652 0.2075100586 0.2058703718
+#>  [386] 0.2042403023 0.2026198464 0.2010089998 0.1994077568 0.1978161114
+#>  [391] 0.1962340564 0.1946615836 0.1930986842 0.1915453486 0.1900015660
+#>  [396] 0.1884673252 0.1869426140 0.1854274193 0.1839217274 0.1824255238
+#>  [401] 0.1809387932 0.1794615194 0.1779936858 0.1765352748 0.1750862682
+#>  [406] 0.1736466470 0.1722163917 0.1707954820 0.1693838969 0.1679816149
+#>  [411] 0.1665886136 0.1652048702 0.1638303612 0.1624650626 0.1611089496
+#>  [416] 0.1597619969 0.1584241788 0.1570954689 0.1557758401 0.1544652651
+#>  [421] 0.1531637158 0.1518711637 0.1505875797 0.1493129345 0.1480471980
+#>  [426] 0.1467903398 0.1455423289 0.1443031341 0.1430727235 0.1418510649
+#>  [431] 0.1406381257 0.1394338730 0.1382382732 0.1370512926 0.1358728970
+#>  [436] 0.1347030520 0.1335417225 0.1323888735 0.1312444694 0.1301084744
+#>  [441] 0.1289808521 0.1278615663 0.1267505801 0.1256478565 0.1245533582
+#>  [446] 0.1234670476 0.1223888868 0.1213188379 0.1202568625 0.1192029220
+#>  [451] 0.1181569778 0.1171189909 0.1160889221 0.1150667320 0.1140523813
+#>  [456] 0.1130458301 0.1120470386 0.1110559667 0.1100725744 0.1090968212
+#>  [461] 0.1081286668 0.1071680705 0.1062149917 0.1052693895 0.1043312231
+#>  [466] 0.1034004515 0.1024770334 0.1015609279 0.1006520936 0.0997504891
+#>  [471] 0.0988560732 0.0979688043 0.0970886410 0.0962155417 0.0953494649
+#>  [476] 0.0944903690 0.0936382122 0.0927929531 0.0919545499 0.0911229610
+#>  [481] 0.0902981447 0.0894800593 0.0886686633 0.0878639148 0.0870657724
+#>  [486] 0.0862741945 0.0854891394 0.0847105657 0.0839384319 0.0831726965
+#>  [491] 0.0824133181 0.0816602555 0.0809134672 0.0801729122 0.0794385492
+#>  [496] 0.0787103372 0.0779882351 0.0772722021 0.0765621974 0.0758581800
+#>  [501] 0.0751601095 0.0744679452 0.0737816466 0.0731011734 0.0724264854
+#>  [506] 0.0717575423 0.0710943041 0.0704367309 0.0697847829 0.0691384203
+#>  [511] 0.0684976037 0.0678622936 0.0672324506 0.0666080356 0.0659890095
+#>  [516] 0.0653753334 0.0647669686 0.0641638764 0.0635660183 0.0629733561
+#>  [521] 0.0623858514 0.0618034663 0.0612261628 0.0606539033 0.0600866502
+#>  [526] 0.0595243660 0.0589670135 0.0584145555 0.0578669553 0.0573241759
+#>  [531] 0.0567861808 0.0562529336 0.0557243979 0.0552005378 0.0546813172
+#>  [536] 0.0541667005 0.0536566520 0.0531511364 0.0526501184 0.0521535631
+#>  [541] 0.0516614355 0.0511737009 0.0506903249 0.0502112732 0.0497365116
+#>  [546] 0.0492660061 0.0487997230 0.0483376287 0.0478796898 0.0474258732
+#>  [551] 0.0469761457 0.0465304745 0.0460888270 0.0456511708 0.0452174735
+#>  [556] 0.0447877030 0.0443618276 0.0439398154 0.0435216350 0.0431072549
+#>  [561] 0.0426966442 0.0422897718 0.0418866071 0.0414871193 0.0410912782
+#>  [566] 0.0406990536 0.0403104154 0.0399253340 0.0395437796 0.0391657228
+#>  [571] 0.0387911345 0.0384199855 0.0380522471 0.0376878905 0.0373268873
+#>  [576] 0.0369692093 0.0366148283 0.0362637164 0.0359158459 0.0355711893
+#>  [581] 0.0352297192 0.0348914085 0.0345562303 0.0342241577 0.0338951642
+#>  [586] 0.0335692233 0.0332463088 0.0329263948 0.0326094553 0.0322954647
+#>  [591] 0.0319843975 0.0316762284 0.0313709322 0.0310684842 0.0307688594
+#>  [596] 0.0304720333 0.0301779815 0.0298866798 0.0295981042 0.0293122308
+#>  [601] 0.0290290358 0.0287484959 0.0284705877 0.0281952880 0.0279225738
+#>  [606] 0.0276524223 0.0273848110 0.0271197172 0.0268571188 0.0265969936
+#>  [611] 0.0263393196 0.0260840751 0.0258312385 0.0255807883 0.0253327032
+#>  [616] 0.0250869622 0.0248435441 0.0246024284 0.0243635943 0.0241270214
+#>  [621] 0.0238926894 0.0236605782 0.0234306677 0.0232029381 0.0229773699
+#>  [626] 0.0227539435 0.0225326395 0.0223134387 0.0220963222 0.0218812709
+#>  [631] 0.0216682663 0.0214572897 0.0212483227 0.0210413470 0.0208363445
+#>  [636] 0.0206332972 0.0204321873 0.0202329971 0.0200357090 0.0198403057
+#>  [641] 0.0196467699 0.0194550846 0.0192652326 0.0190771973 0.0188909619
+#>  [646] 0.0187065100 0.0185238250 0.0183428907 0.0181636910 0.0179862100
+#>  [651] 0.0178104316 0.0176363403 0.0174639205 0.0172931566 0.0171240333
+#>  [656] 0.0169565355 0.0167906481 0.0166263561 0.0164636448 0.0163024994
+#>  [661] 0.0161429054 0.0159848483 0.0158283140 0.0156732881 0.0155197566
+#>  [666] 0.0153677056 0.0152171212 0.0150679898 0.0149202978 0.0147740317
+#>  [671] 0.0146291782 0.0144857240 0.0143436561 0.0142029614 0.0140636270
+#>  [676] 0.0139256403 0.0137889885 0.0136536591 0.0135196396 0.0133869178
+#>  [681] 0.0132554814 0.0131253183 0.0129964166 0.0128687642 0.0127423495
+#>  [686] 0.0126171607 0.0124931863 0.0123704147 0.0122488347 0.0121284350
+#>  [691] 0.0120092043 0.0118911316 0.0117742060 0.0116584166 0.0115437525
+#>  [696] 0.0114302031 0.0113177579 0.0112064063 0.0110961380 0.0109869426
+#>  [701] 0.0108788100 0.0107717300 0.0106656927 0.0105606880 0.0104567062
+#>  [706] 0.0103537375 0.0102517723 0.0101508009 0.0100508139 0.0099518019
+#>  [711] 0.0098537555 0.0097566656 0.0096605230 0.0095653187 0.0094710436
+#>  [716] 0.0093776889 0.0092852457 0.0091937054 0.0091030592 0.0090132987
+#>  [721] 0.0089244152 0.0088364005 0.0087492461 0.0086629438 0.0085774854
+#>  [726] 0.0084928629 0.0084090681 0.0083260931 0.0082439301 0.0081625712
+#>  [731] 0.0080820086 0.0080022348 0.0079232421 0.0078450230 0.0077675701
+#>  [736] 0.0076908759 0.0076149331 0.0075397346 0.0074652730 0.0073915413
+#>  [741] 0.0073185325 0.0072462396 0.0071746556 0.0071037737 0.0070335872
+#>  [746] 0.0069640892 0.0068952731 0.0068271324 0.0067596605 0.0066928509
+#>  [751] 0.0066266972 0.0065611931 0.0064963323 0.0064321085 0.0063685155
+#>  [756] 0.0063055473 0.0062431977 0.0061814609 0.0061203308 0.0060598015
+#>  [761] 0.0059998672 0.0059405222 0.0058817607 0.0058235770 0.0057659656
+#>  [766] 0.0057089208 0.0056524372 0.0055965092 0.0055411316 0.0054862989
+#>  [771] 0.0054320058 0.0053782472 0.0053250177 0.0052723122 0.0052201257
+#>  [776] 0.0051684530 0.0051172892 0.0050666293 0.0050164684 0.0049668017
+#>  [781] 0.0049176242 0.0048689312 0.0048207181 0.0047729801 0.0047257126
+#>  [786] 0.0046789110 0.0046325707 0.0045866873 0.0045412562 0.0044962732
+#>  [791] 0.0044517337 0.0044076334 0.0043639681 0.0043207335 0.0042779254
+#>  [796] 0.0042355396 0.0041935721 0.0041520186 0.0041108751 0.0040701377
+#>  [801] 0.0040298024 0.0039898651 0.0039503222 0.0039111695 0.0038724034
+#>  [806] 0.0038340201 0.0037960158 0.0037583868 0.0037211293 0.0036842399
+#>  [811] 0.0036477148 0.0036115505 0.0035757435 0.0035402902 0.0035051872
+#>  [816] 0.0034704311 0.0034360183 0.0034019457 0.0033682098 0.0033348073
+#>  [821] 0.0033017350 0.0032689896 0.0032365678 0.0032044667 0.0031726828
+#>  [826] 0.0031412133 0.0031100549 0.0030792046 0.0030486594 0.0030184163
+#>  [831] 0.0029884723 0.0029588245 0.0029294700 0.0029004058 0.0028716292
+#>  [836] 0.0028431372 0.0028149272 0.0027869962 0.0027593417 0.0027319608
+#>  [841] 0.0027048508 0.0026780092 0.0026514332 0.0026251203 0.0025990678
+#>  [846] 0.0025732732 0.0025477339 0.0025224475 0.0024974114 0.0024726232
+#>  [851] 0.0024480804 0.0024237806 0.0023997215 0.0023759006 0.0023523156
+#>  [856] 0.0023289642 0.0023058440 0.0022829529 0.0022602884 0.0022378485
+#>  [861] 0.0022156309 0.0021936334 0.0021718537 0.0021502899 0.0021289397
+#>  [866] 0.0021078011 0.0020868719 0.0020661500 0.0020456336 0.0020253204
+#>  [871] 0.0020052085 0.0019852960 0.0019655808 0.0019460610 0.0019267347
+#>  [876] 0.0019075999 0.0018886548 0.0018698975 0.0018513262 0.0018329389
+#>  [881] 0.0018147340 0.0017967095 0.0017788638 0.0017611950 0.0017437013
+#>  [886] 0.0017263812 0.0017092327 0.0016922544 0.0016754444 0.0016588011
+#>  [891] 0.0016423228 0.0016260080 0.0016098550 0.0015938622 0.0015780281
+#>  [896] 0.0015623510 0.0015468293 0.0015314617 0.0015162465 0.0015011823
+#>  [901] 0.0014862674 0.0014715006 0.0014568803 0.0014424050 0.0014280733
+#>  [906] 0.0014138838 0.0013998351 0.0013859258 0.0013721546 0.0013585200
+#>  [911] 0.0013450206 0.0013316553 0.0013184226 0.0013053212 0.0012923498
+#>  [916] 0.0012795071 0.0012667920 0.0012542030 0.0012417389 0.0012293986
+#>  [921] 0.0012171808 0.0012050842 0.0011931078 0.0011812502 0.0011695103
+#>  [926] 0.0011578869 0.0011463790 0.0011349852 0.0011237046 0.0011125360
+#>  [931] 0.0011014783 0.0010905304 0.0010796911 0.0010689595 0.0010583344
+#>  [936] 0.0010478149 0.0010373997 0.0010270881 0.0010168787 0.0010067708
+#>  [941] 0.0009967633 0.0009868551 0.0009770453 0.0009673330 0.0009577171
+#>  [946] 0.0009481966 0.0009387708 0.0009294385 0.0009201990 0.0009110512
+#>  [951] 0.0009019943 0.0008930273 0.0008841494 0.0008753596 0.0008666572
+#>  [956] 0.0008580412 0.0008495108 0.0008410652 0.0008327034 0.0008244247
+#>  [961] 0.0008162282 0.0008081132 0.0008000787 0.0007921241 0.0007842486
+#>  [966] 0.0007764512 0.0007687313 0.0007610881 0.0007535209 0.0007460288
+#>  [971] 0.0007386112 0.0007312673 0.0007239963 0.0007167976 0.0007096704
+#>  [976] 0.0007026140 0.0006956278 0.0006887109 0.0006818628 0.0006750827
+#>  [981] 0.0006683700 0.0006617240 0.0006551441 0.0006486295 0.0006421797
+#>  [986] 0.0006357940 0.0006294717 0.0006232123 0.0006170150 0.0006108794
+#>  [991] 0.0006048047 0.0005987904 0.0005928358 0.0005869405 0.0005811037
+#>  [996] 0.0005753250 0.0005696037 0.0005639392 0.0005583311 0.0005527786
+#> attr(,"X")
+#>         [,1] [,2]
+#>    [1,]    1    1
+#>    [2,]    1    2
+#>    [3,]    1    3
+#>    [4,]    1    4
+#>    [5,]    1    5
+#>    [6,]    1    6
+#>    [7,]    1    7
+#>    [8,]    1    8
+#>    [9,]    1    9
+#>   [10,]    1   10
+#>   [11,]    1   11
+#>   [12,]    1   12
+#>   [13,]    1   13
+#>   [14,]    1   14
+#>   [15,]    1   15
+#>   [16,]    1   16
+#>   [17,]    1   17
+#>   [18,]    1   18
+#>   [19,]    1   19
+#>   [20,]    1   20
+#>   [21,]    1   21
+#>   [22,]    1   22
+#>   [23,]    1   23
+#>   [24,]    1   24
+#>   [25,]    1   25
+#>   [26,]    1   26
+#>   [27,]    1   27
+#>   [28,]    1   28
+#>   [29,]    1   29
+#>   [30,]    1   30
+#>   [31,]    1   31
+#>   [32,]    1   32
+#>   [33,]    1   33
+#>   [34,]    1   34
+#>   [35,]    1   35
+#>   [36,]    1   36
+#>   [37,]    1   37
+#>   [38,]    1   38
+#>   [39,]    1   39
+#>   [40,]    1   40
+#>   [41,]    1   41
+#>   [42,]    1   42
+#>   [43,]    1   43
+#>   [44,]    1   44
+#>   [45,]    1   45
+#>   [46,]    1   46
+#>   [47,]    1   47
+#>   [48,]    1   48
+#>   [49,]    1   49
+#>   [50,]    1   50
+#>   [51,]    1   51
+#>   [52,]    1   52
+#>   [53,]    1   53
+#>   [54,]    1   54
+#>   [55,]    1   55
+#>   [56,]    1   56
+#>   [57,]    1   57
+#>   [58,]    1   58
+#>   [59,]    1   59
+#>   [60,]    1   60
+#>   [61,]    1   61
+#>   [62,]    1   62
+#>   [63,]    1   63
+#>   [64,]    1   64
+#>   [65,]    1   65
+#>   [66,]    1   66
+#>   [67,]    1   67
+#>   [68,]    1   68
+#>   [69,]    1   69
+#>   [70,]    1   70
+#>   [71,]    1   71
+#>   [72,]    1   72
+#>   [73,]    1   73
+#>   [74,]    1   74
+#>   [75,]    1   75
+#>   [76,]    1   76
+#>   [77,]    1   77
+#>   [78,]    1   78
+#>   [79,]    1   79
+#>   [80,]    1   80
+#>   [81,]    1   81
+#>   [82,]    1   82
+#>   [83,]    1   83
+#>   [84,]    1   84
+#>   [85,]    1   85
+#>   [86,]    1   86
+#>   [87,]    1   87
+#>   [88,]    1   88
+#>   [89,]    1   89
+#>   [90,]    1   90
+#>   [91,]    1   91
+#>   [92,]    1   92
+#>   [93,]    1   93
+#>   [94,]    1   94
+#>   [95,]    1   95
+#>   [96,]    1   96
+#>   [97,]    1   97
+#>   [98,]    1   98
+#>   [99,]    1   99
+#>  [100,]    1  100
+#>  [101,]    1  101
+#>  [102,]    1  102
+#>  [103,]    1  103
+#>  [104,]    1  104
+#>  [105,]    1  105
+#>  [106,]    1  106
+#>  [107,]    1  107
+#>  [108,]    1  108
+#>  [109,]    1  109
+#>  [110,]    1  110
+#>  [111,]    1  111
+#>  [112,]    1  112
+#>  [113,]    1  113
+#>  [114,]    1  114
+#>  [115,]    1  115
+#>  [116,]    1  116
+#>  [117,]    1  117
+#>  [118,]    1  118
+#>  [119,]    1  119
+#>  [120,]    1  120
+#>  [121,]    1  121
+#>  [122,]    1  122
+#>  [123,]    1  123
+#>  [124,]    1  124
+#>  [125,]    1  125
+#>  [126,]    1  126
+#>  [127,]    1  127
+#>  [128,]    1  128
+#>  [129,]    1  129
+#>  [130,]    1  130
+#>  [131,]    1  131
+#>  [132,]    1  132
+#>  [133,]    1  133
+#>  [134,]    1  134
+#>  [135,]    1  135
+#>  [136,]    1  136
+#>  [137,]    1  137
+#>  [138,]    1  138
+#>  [139,]    1  139
+#>  [140,]    1  140
+#>  [141,]    1  141
+#>  [142,]    1  142
+#>  [143,]    1  143
+#>  [144,]    1  144
+#>  [145,]    1  145
+#>  [146,]    1  146
+#>  [147,]    1  147
+#>  [148,]    1  148
+#>  [149,]    1  149
+#>  [150,]    1  150
+#>  [151,]    1  151
+#>  [152,]    1  152
+#>  [153,]    1  153
+#>  [154,]    1  154
+#>  [155,]    1  155
+#>  [156,]    1  156
+#>  [157,]    1  157
+#>  [158,]    1  158
+#>  [159,]    1  159
+#>  [160,]    1  160
+#>  [161,]    1  161
+#>  [162,]    1  162
+#>  [163,]    1  163
+#>  [164,]    1  164
+#>  [165,]    1  165
+#>  [166,]    1  166
+#>  [167,]    1  167
+#>  [168,]    1  168
+#>  [169,]    1  169
+#>  [170,]    1  170
+#>  [171,]    1  171
+#>  [172,]    1  172
+#>  [173,]    1  173
+#>  [174,]    1  174
+#>  [175,]    1  175
+#>  [176,]    1  176
+#>  [177,]    1  177
+#>  [178,]    1  178
+#>  [179,]    1  179
+#>  [180,]    1  180
+#>  [181,]    1  181
+#>  [182,]    1  182
+#>  [183,]    1  183
+#>  [184,]    1  184
+#>  [185,]    1  185
+#>  [186,]    1  186
+#>  [187,]    1  187
+#>  [188,]    1  188
+#>  [189,]    1  189
+#>  [190,]    1  190
+#>  [191,]    1  191
+#>  [192,]    1  192
+#>  [193,]    1  193
+#>  [194,]    1  194
+#>  [195,]    1  195
+#>  [196,]    1  196
+#>  [197,]    1  197
+#>  [198,]    1  198
+#>  [199,]    1  199
+#>  [200,]    1  200
+#>  [201,]    1  201
+#>  [202,]    1  202
+#>  [203,]    1  203
+#>  [204,]    1  204
+#>  [205,]    1  205
+#>  [206,]    1  206
+#>  [207,]    1  207
+#>  [208,]    1  208
+#>  [209,]    1  209
+#>  [210,]    1  210
+#>  [211,]    1  211
+#>  [212,]    1  212
+#>  [213,]    1  213
+#>  [214,]    1  214
+#>  [215,]    1  215
+#>  [216,]    1  216
+#>  [217,]    1  217
+#>  [218,]    1  218
+#>  [219,]    1  219
+#>  [220,]    1  220
+#>  [221,]    1  221
+#>  [222,]    1  222
+#>  [223,]    1  223
+#>  [224,]    1  224
+#>  [225,]    1  225
+#>  [226,]    1  226
+#>  [227,]    1  227
+#>  [228,]    1  228
+#>  [229,]    1  229
+#>  [230,]    1  230
+#>  [231,]    1  231
+#>  [232,]    1  232
+#>  [233,]    1  233
+#>  [234,]    1  234
+#>  [235,]    1  235
+#>  [236,]    1  236
+#>  [237,]    1  237
+#>  [238,]    1  238
+#>  [239,]    1  239
+#>  [240,]    1  240
+#>  [241,]    1  241
+#>  [242,]    1  242
+#>  [243,]    1  243
+#>  [244,]    1  244
+#>  [245,]    1  245
+#>  [246,]    1  246
+#>  [247,]    1  247
+#>  [248,]    1  248
+#>  [249,]    1  249
+#>  [250,]    1  250
+#>  [251,]    1  251
+#>  [252,]    1  252
+#>  [253,]    1  253
+#>  [254,]    1  254
+#>  [255,]    1  255
+#>  [256,]    1  256
+#>  [257,]    1  257
+#>  [258,]    1  258
+#>  [259,]    1  259
+#>  [260,]    1  260
+#>  [261,]    1  261
+#>  [262,]    1  262
+#>  [263,]    1  263
+#>  [264,]    1  264
+#>  [265,]    1  265
+#>  [266,]    1  266
+#>  [267,]    1  267
+#>  [268,]    1  268
+#>  [269,]    1  269
+#>  [270,]    1  270
+#>  [271,]    1  271
+#>  [272,]    1  272
+#>  [273,]    1  273
+#>  [274,]    1  274
+#>  [275,]    1  275
+#>  [276,]    1  276
+#>  [277,]    1  277
+#>  [278,]    1  278
+#>  [279,]    1  279
+#>  [280,]    1  280
+#>  [281,]    1  281
+#>  [282,]    1  282
+#>  [283,]    1  283
+#>  [284,]    1  284
+#>  [285,]    1  285
+#>  [286,]    1  286
+#>  [287,]    1  287
+#>  [288,]    1  288
+#>  [289,]    1  289
+#>  [290,]    1  290
+#>  [291,]    1  291
+#>  [292,]    1  292
+#>  [293,]    1  293
+#>  [294,]    1  294
+#>  [295,]    1  295
+#>  [296,]    1  296
+#>  [297,]    1  297
+#>  [298,]    1  298
+#>  [299,]    1  299
+#>  [300,]    1  300
+#>  [301,]    1  301
+#>  [302,]    1  302
+#>  [303,]    1  303
+#>  [304,]    1  304
+#>  [305,]    1  305
+#>  [306,]    1  306
+#>  [307,]    1  307
+#>  [308,]    1  308
+#>  [309,]    1  309
+#>  [310,]    1  310
+#>  [311,]    1  311
+#>  [312,]    1  312
+#>  [313,]    1  313
+#>  [314,]    1  314
+#>  [315,]    1  315
+#>  [316,]    1  316
+#>  [317,]    1  317
+#>  [318,]    1  318
+#>  [319,]    1  319
+#>  [320,]    1  320
+#>  [321,]    1  321
+#>  [322,]    1  322
+#>  [323,]    1  323
+#>  [324,]    1  324
+#>  [325,]    1  325
+#>  [326,]    1  326
+#>  [327,]    1  327
+#>  [328,]    1  328
+#>  [329,]    1  329
+#>  [330,]    1  330
+#>  [331,]    1  331
+#>  [332,]    1  332
+#>  [333,]    1  333
+#>  [334,]    1  334
+#>  [335,]    1  335
+#>  [336,]    1  336
+#>  [337,]    1  337
+#>  [338,]    1  338
+#>  [339,]    1  339
+#>  [340,]    1  340
+#>  [341,]    1  341
+#>  [342,]    1  342
+#>  [343,]    1  343
+#>  [344,]    1  344
+#>  [345,]    1  345
+#>  [346,]    1  346
+#>  [347,]    1  347
+#>  [348,]    1  348
+#>  [349,]    1  349
+#>  [350,]    1  350
+#>  [351,]    1  351
+#>  [352,]    1  352
+#>  [353,]    1  353
+#>  [354,]    1  354
+#>  [355,]    1  355
+#>  [356,]    1  356
+#>  [357,]    1  357
+#>  [358,]    1  358
+#>  [359,]    1  359
+#>  [360,]    1  360
+#>  [361,]    1  361
+#>  [362,]    1  362
+#>  [363,]    1  363
+#>  [364,]    1  364
+#>  [365,]    1  365
+#>  [366,]    1  366
+#>  [367,]    1  367
+#>  [368,]    1  368
+#>  [369,]    1  369
+#>  [370,]    1  370
+#>  [371,]    1  371
+#>  [372,]    1  372
+#>  [373,]    1  373
+#>  [374,]    1  374
+#>  [375,]    1  375
+#>  [376,]    1  376
+#>  [377,]    1  377
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+#>  [948,]    1  948
+#>  [949,]    1  949
+#>  [950,]    1  950
+#>  [951,]    1  951
+#>  [952,]    1  952
+#>  [953,]    1  953
+#>  [954,]    1  954
+#>  [955,]    1  955
+#>  [956,]    1  956
+#>  [957,]    1  957
+#>  [958,]    1  958
+#>  [959,]    1  959
+#>  [960,]    1  960
+#>  [961,]    1  961
+#>  [962,]    1  962
+#>  [963,]    1  963
+#>  [964,]    1  964
+#>  [965,]    1  965
+#>  [966,]    1  966
+#>  [967,]    1  967
+#>  [968,]    1  968
+#>  [969,]    1  969
+#>  [970,]    1  970
+#>  [971,]    1  971
+#>  [972,]    1  972
+#>  [973,]    1  973
+#>  [974,]    1  974
+#>  [975,]    1  975
+#>  [976,]    1  976
+#>  [977,]    1  977
+#>  [978,]    1  978
+#>  [979,]    1  979
+#>  [980,]    1  980
+#>  [981,]    1  981
+#>  [982,]    1  982
+#>  [983,]    1  983
+#>  [984,]    1  984
+#>  [985,]    1  985
+#>  [986,]    1  986
+#>  [987,]    1  987
+#>  [988,]    1  988
+#>  [989,]    1  989
+#>  [990,]    1  990
+#>  [991,]    1  991
+#>  [992,]    1  992
+#>  [993,]    1  993
+#>  [994,]    1  994
+#>  [995,]    1  995
+#>  [996,]    1  996
+#>  [997,]    1  997
+#>  [998,]    1  998
+#>  [999,]    1  999
+#> [1000,]    1 1000
+#> attr(,"beta")
+#>         [,1]
+#> beta_0  2.50
+#> beta_1 -0.01
+#> attr(,"inv_link")
+#> function (q, location = 0, scale = 1, lower.tail = TRUE, log.p = FALSE) 
+#> .Call(C_plogis, q, location, scale, lower.tail, log.p)
+#> <bytecode: 0x7fb9a83e2970>
+#> <environment: namespace:stats>
+# Both graph and values (the default)
+get_detection_pr(output = 3L)
+#>    [1] 0.9234378026 0.9227277979 0.9220117649 0.9212896628 0.9205614508
+#>    [6] 0.9198270878 0.9190865328 0.9183397445 0.9175866819 0.9168273035
+#>   [11] 0.9160615681 0.9152894343 0.9145108606 0.9137258055 0.9129342276
+#>   [16] 0.9121360852 0.9113313367 0.9105199407 0.9097018553 0.9088770390
+#>   [21] 0.9080454501 0.9072070469 0.9063617878 0.9055096310 0.9046505351
+#>   [26] 0.9037844583 0.9029113590 0.9020311957 0.9011439268 0.9002495109
+#>   [31] 0.8993479064 0.8984390721 0.8975229666 0.8965995485 0.8956687769
+#>   [36] 0.8947306105 0.8937850083 0.8928319295 0.8918713332 0.8909031788
+#>   [41] 0.8899274256 0.8889440333 0.8879529614 0.8869541699 0.8859476187
+#>   [46] 0.8849332680 0.8839110779 0.8828810091 0.8818430222 0.8807970780
+#>   [51] 0.8797431375 0.8786811621 0.8776111132 0.8765329524 0.8754466418
+#>   [56] 0.8743521435 0.8732494199 0.8721384337 0.8710191479 0.8698915256
+#>   [61] 0.8687555306 0.8676111265 0.8664582775 0.8652969480 0.8641271030
+#>   [66] 0.8629487074 0.8617617268 0.8605661270 0.8593618743 0.8581489351
+#>   [71] 0.8569272765 0.8556968659 0.8544576711 0.8532096602 0.8519528020
+#>   [76] 0.8506870655 0.8494124203 0.8481288363 0.8468362842 0.8455347349
+#>   [81] 0.8442241599 0.8429045311 0.8415758212 0.8402380031 0.8388910504
+#>   [86] 0.8375349374 0.8361696388 0.8347951298 0.8334113864 0.8320183851
+#>   [91] 0.8306161031 0.8292045180 0.8277836083 0.8263533530 0.8249137318
+#>   [96] 0.8234647252 0.8220063142 0.8205384806 0.8190612068 0.8175744762
+#>  [101] 0.8160782726 0.8145725807 0.8130573860 0.8115326748 0.8099984340
+#>  [106] 0.8084546514 0.8069013158 0.8053384164 0.8037659436 0.8021838886
+#>  [111] 0.8005922432 0.7989910002 0.7973801536 0.7957596977 0.7941296282
+#>  [116] 0.7924899414 0.7908406348 0.7891817065 0.7875131559 0.7858349830
+#>  [121] 0.7841471892 0.7824497764 0.7807427479 0.7790261078 0.7772998612
+#>  [126] 0.7755640143 0.7738185743 0.7720635494 0.7702989490 0.7685247835
+#>  [131] 0.7667410642 0.7649478038 0.7631450157 0.7613327148 0.7595109169
+#>  [136] 0.7576796390 0.7558388991 0.7539887164 0.7521291114 0.7502601056
+#>  [141] 0.7483817216 0.7464939833 0.7445969158 0.7426905453 0.7407748992
+#>  [146] 0.7388500061 0.7369158958 0.7349725995 0.7330201492 0.7310585786
+#>  [151] 0.7290879223 0.7271082163 0.7251194978 0.7231218051 0.7211151780
+#>  [156] 0.7190996574 0.7170752855 0.7150421057 0.7130001628 0.7109495026
+#>  [161] 0.7088901726 0.7068222211 0.7047456980 0.7026606543 0.7005671425
+#>  [166] 0.6984652160 0.6963549298 0.6942363401 0.6921095043 0.6899744811
+#>  [171] 0.6878313306 0.6856801139 0.6835208937 0.6813537338 0.6791786992
+#>  [176] 0.6769958562 0.6748052726 0.6726070171 0.6704011598 0.6681877722
+#>  [181] 0.6659669268 0.6637386974 0.6615031592 0.6592603885 0.6570104627
+#>  [186] 0.6547534606 0.6524894622 0.6502185486 0.6479408021 0.6456563062
+#>  [191] 0.6433651457 0.6410674063 0.6387631751 0.6364525403 0.6341355910
+#>  [196] 0.6318124177 0.6294831120 0.6271477663 0.6248064745 0.6224593312
+#>  [201] 0.6201064323 0.6177478748 0.6153837564 0.6130141761 0.6106392339
+#>  [206] 0.6082590307 0.6058736684 0.6034832499 0.6010878788 0.5986876601
+#>  [211] 0.5962826993 0.5938731029 0.5914589784 0.5890404341 0.5866175789
+#>  [216] 0.5841905229 0.5817593768 0.5793242521 0.5768852611 0.5744425168
+#>  [221] 0.5719961329 0.5695462239 0.5670929050 0.5646362918 0.5621765009
+#>  [226] 0.5597136493 0.5572478546 0.5547792351 0.5523079096 0.5498339973
+#>  [231] 0.5473576181 0.5448788924 0.5423979408 0.5399148846 0.5374298453
+#>  [236] 0.5349429452 0.5324543064 0.5299640518 0.5274723043 0.5249791875
+#>  [241] 0.5224848248 0.5199893402 0.5174928577 0.5149955016 0.5124973965
+#>  [246] 0.5099986669 0.5074994376 0.5049998333 0.5024999792 0.5000000000
+#>  [251] 0.4975000208 0.4950001667 0.4925005624 0.4900013331 0.4875026035
+#>  [256] 0.4850044984 0.4825071423 0.4800106598 0.4775151752 0.4750208125
+#>  [261] 0.4725276957 0.4700359482 0.4675456936 0.4650570548 0.4625701547
+#>  [266] 0.4600851154 0.4576020592 0.4551211076 0.4526423819 0.4501660027
+#>  [271] 0.4476920904 0.4452207649 0.4427521454 0.4402863507 0.4378234991
+#>  [276] 0.4353637082 0.4329070950 0.4304537761 0.4280038671 0.4255574832
+#>  [281] 0.4231147389 0.4206757479 0.4182406232 0.4158094771 0.4133824211
+#>  [286] 0.4109595659 0.4085410216 0.4061268971 0.4037173007 0.4013123399
+#>  [291] 0.3989121212 0.3965167501 0.3941263316 0.3917409693 0.3893607661
+#>  [296] 0.3869858239 0.3846162436 0.3822521252 0.3798935677 0.3775406688
+#>  [301] 0.3751935255 0.3728522337 0.3705168880 0.3681875823 0.3658644090
+#>  [306] 0.3635474597 0.3612368249 0.3589325937 0.3566348543 0.3543436938
+#>  [311] 0.3520591979 0.3497814514 0.3475105378 0.3452465394 0.3429895373
+#>  [316] 0.3407396115 0.3384968408 0.3362613026 0.3340330732 0.3318122278
+#>  [321] 0.3295988402 0.3273929829 0.3251947274 0.3230041438 0.3208213008
+#>  [326] 0.3186462662 0.3164791063 0.3143198861 0.3121686694 0.3100255189
+#>  [331] 0.3078904957 0.3057636599 0.3036450702 0.3015347840 0.2994328575
+#>  [336] 0.2973393457 0.2952543020 0.2931777789 0.2911098274 0.2890504974
+#>  [341] 0.2869998372 0.2849578943 0.2829247145 0.2809003426 0.2788848220
+#>  [346] 0.2768781949 0.2748805022 0.2728917837 0.2709120777 0.2689414214
+#>  [351] 0.2669798508 0.2650274005 0.2630841042 0.2611499939 0.2592251008
+#>  [356] 0.2573094547 0.2554030842 0.2535060167 0.2516182784 0.2497398944
+#>  [361] 0.2478708886 0.2460112836 0.2441611009 0.2423203610 0.2404890831
+#>  [366] 0.2386672852 0.2368549843 0.2350521962 0.2332589358 0.2314752165
+#>  [371] 0.2297010510 0.2279364506 0.2261814257 0.2244359857 0.2227001388
+#>  [376] 0.2209738922 0.2192572521 0.2175502236 0.2158528108 0.2141650170
+#>  [381] 0.2124868441 0.2108182935 0.2091593652 0.2075100586 0.2058703718
+#>  [386] 0.2042403023 0.2026198464 0.2010089998 0.1994077568 0.1978161114
+#>  [391] 0.1962340564 0.1946615836 0.1930986842 0.1915453486 0.1900015660
+#>  [396] 0.1884673252 0.1869426140 0.1854274193 0.1839217274 0.1824255238
+#>  [401] 0.1809387932 0.1794615194 0.1779936858 0.1765352748 0.1750862682
+#>  [406] 0.1736466470 0.1722163917 0.1707954820 0.1693838969 0.1679816149
+#>  [411] 0.1665886136 0.1652048702 0.1638303612 0.1624650626 0.1611089496
+#>  [416] 0.1597619969 0.1584241788 0.1570954689 0.1557758401 0.1544652651
+#>  [421] 0.1531637158 0.1518711637 0.1505875797 0.1493129345 0.1480471980
+#>  [426] 0.1467903398 0.1455423289 0.1443031341 0.1430727235 0.1418510649
+#>  [431] 0.1406381257 0.1394338730 0.1382382732 0.1370512926 0.1358728970
+#>  [436] 0.1347030520 0.1335417225 0.1323888735 0.1312444694 0.1301084744
+#>  [441] 0.1289808521 0.1278615663 0.1267505801 0.1256478565 0.1245533582
+#>  [446] 0.1234670476 0.1223888868 0.1213188379 0.1202568625 0.1192029220
+#>  [451] 0.1181569778 0.1171189909 0.1160889221 0.1150667320 0.1140523813
+#>  [456] 0.1130458301 0.1120470386 0.1110559667 0.1100725744 0.1090968212
+#>  [461] 0.1081286668 0.1071680705 0.1062149917 0.1052693895 0.1043312231
+#>  [466] 0.1034004515 0.1024770334 0.1015609279 0.1006520936 0.0997504891
+#>  [471] 0.0988560732 0.0979688043 0.0970886410 0.0962155417 0.0953494649
+#>  [476] 0.0944903690 0.0936382122 0.0927929531 0.0919545499 0.0911229610
+#>  [481] 0.0902981447 0.0894800593 0.0886686633 0.0878639148 0.0870657724
+#>  [486] 0.0862741945 0.0854891394 0.0847105657 0.0839384319 0.0831726965
+#>  [491] 0.0824133181 0.0816602555 0.0809134672 0.0801729122 0.0794385492
+#>  [496] 0.0787103372 0.0779882351 0.0772722021 0.0765621974 0.0758581800
+#>  [501] 0.0751601095 0.0744679452 0.0737816466 0.0731011734 0.0724264854
+#>  [506] 0.0717575423 0.0710943041 0.0704367309 0.0697847829 0.0691384203
+#>  [511] 0.0684976037 0.0678622936 0.0672324506 0.0666080356 0.0659890095
+#>  [516] 0.0653753334 0.0647669686 0.0641638764 0.0635660183 0.0629733561
+#>  [521] 0.0623858514 0.0618034663 0.0612261628 0.0606539033 0.0600866502
+#>  [526] 0.0595243660 0.0589670135 0.0584145555 0.0578669553 0.0573241759
+#>  [531] 0.0567861808 0.0562529336 0.0557243979 0.0552005378 0.0546813172
+#>  [536] 0.0541667005 0.0536566520 0.0531511364 0.0526501184 0.0521535631
+#>  [541] 0.0516614355 0.0511737009 0.0506903249 0.0502112732 0.0497365116
+#>  [546] 0.0492660061 0.0487997230 0.0483376287 0.0478796898 0.0474258732
+#>  [551] 0.0469761457 0.0465304745 0.0460888270 0.0456511708 0.0452174735
+#>  [556] 0.0447877030 0.0443618276 0.0439398154 0.0435216350 0.0431072549
+#>  [561] 0.0426966442 0.0422897718 0.0418866071 0.0414871193 0.0410912782
+#>  [566] 0.0406990536 0.0403104154 0.0399253340 0.0395437796 0.0391657228
+#>  [571] 0.0387911345 0.0384199855 0.0380522471 0.0376878905 0.0373268873
+#>  [576] 0.0369692093 0.0366148283 0.0362637164 0.0359158459 0.0355711893
+#>  [581] 0.0352297192 0.0348914085 0.0345562303 0.0342241577 0.0338951642
+#>  [586] 0.0335692233 0.0332463088 0.0329263948 0.0326094553 0.0322954647
+#>  [591] 0.0319843975 0.0316762284 0.0313709322 0.0310684842 0.0307688594
+#>  [596] 0.0304720333 0.0301779815 0.0298866798 0.0295981042 0.0293122308
+#>  [601] 0.0290290358 0.0287484959 0.0284705877 0.0281952880 0.0279225738
+#>  [606] 0.0276524223 0.0273848110 0.0271197172 0.0268571188 0.0265969936
+#>  [611] 0.0263393196 0.0260840751 0.0258312385 0.0255807883 0.0253327032
+#>  [616] 0.0250869622 0.0248435441 0.0246024284 0.0243635943 0.0241270214
+#>  [621] 0.0238926894 0.0236605782 0.0234306677 0.0232029381 0.0229773699
+#>  [626] 0.0227539435 0.0225326395 0.0223134387 0.0220963222 0.0218812709
+#>  [631] 0.0216682663 0.0214572897 0.0212483227 0.0210413470 0.0208363445
+#>  [636] 0.0206332972 0.0204321873 0.0202329971 0.0200357090 0.0198403057
+#>  [641] 0.0196467699 0.0194550846 0.0192652326 0.0190771973 0.0188909619
+#>  [646] 0.0187065100 0.0185238250 0.0183428907 0.0181636910 0.0179862100
+#>  [651] 0.0178104316 0.0176363403 0.0174639205 0.0172931566 0.0171240333
+#>  [656] 0.0169565355 0.0167906481 0.0166263561 0.0164636448 0.0163024994
+#>  [661] 0.0161429054 0.0159848483 0.0158283140 0.0156732881 0.0155197566
+#>  [666] 0.0153677056 0.0152171212 0.0150679898 0.0149202978 0.0147740317
+#>  [671] 0.0146291782 0.0144857240 0.0143436561 0.0142029614 0.0140636270
+#>  [676] 0.0139256403 0.0137889885 0.0136536591 0.0135196396 0.0133869178
+#>  [681] 0.0132554814 0.0131253183 0.0129964166 0.0128687642 0.0127423495
+#>  [686] 0.0126171607 0.0124931863 0.0123704147 0.0122488347 0.0121284350
+#>  [691] 0.0120092043 0.0118911316 0.0117742060 0.0116584166 0.0115437525
+#>  [696] 0.0114302031 0.0113177579 0.0112064063 0.0110961380 0.0109869426
+#>  [701] 0.0108788100 0.0107717300 0.0106656927 0.0105606880 0.0104567062
+#>  [706] 0.0103537375 0.0102517723 0.0101508009 0.0100508139 0.0099518019
+#>  [711] 0.0098537555 0.0097566656 0.0096605230 0.0095653187 0.0094710436
+#>  [716] 0.0093776889 0.0092852457 0.0091937054 0.0091030592 0.0090132987
+#>  [721] 0.0089244152 0.0088364005 0.0087492461 0.0086629438 0.0085774854
+#>  [726] 0.0084928629 0.0084090681 0.0083260931 0.0082439301 0.0081625712
+#>  [731] 0.0080820086 0.0080022348 0.0079232421 0.0078450230 0.0077675701
+#>  [736] 0.0076908759 0.0076149331 0.0075397346 0.0074652730 0.0073915413
+#>  [741] 0.0073185325 0.0072462396 0.0071746556 0.0071037737 0.0070335872
+#>  [746] 0.0069640892 0.0068952731 0.0068271324 0.0067596605 0.0066928509
+#>  [751] 0.0066266972 0.0065611931 0.0064963323 0.0064321085 0.0063685155
+#>  [756] 0.0063055473 0.0062431977 0.0061814609 0.0061203308 0.0060598015
+#>  [761] 0.0059998672 0.0059405222 0.0058817607 0.0058235770 0.0057659656
+#>  [766] 0.0057089208 0.0056524372 0.0055965092 0.0055411316 0.0054862989
+#>  [771] 0.0054320058 0.0053782472 0.0053250177 0.0052723122 0.0052201257
+#>  [776] 0.0051684530 0.0051172892 0.0050666293 0.0050164684 0.0049668017
+#>  [781] 0.0049176242 0.0048689312 0.0048207181 0.0047729801 0.0047257126
+#>  [786] 0.0046789110 0.0046325707 0.0045866873 0.0045412562 0.0044962732
+#>  [791] 0.0044517337 0.0044076334 0.0043639681 0.0043207335 0.0042779254
+#>  [796] 0.0042355396 0.0041935721 0.0041520186 0.0041108751 0.0040701377
+#>  [801] 0.0040298024 0.0039898651 0.0039503222 0.0039111695 0.0038724034
+#>  [806] 0.0038340201 0.0037960158 0.0037583868 0.0037211293 0.0036842399
+#>  [811] 0.0036477148 0.0036115505 0.0035757435 0.0035402902 0.0035051872
+#>  [816] 0.0034704311 0.0034360183 0.0034019457 0.0033682098 0.0033348073
+#>  [821] 0.0033017350 0.0032689896 0.0032365678 0.0032044667 0.0031726828
+#>  [826] 0.0031412133 0.0031100549 0.0030792046 0.0030486594 0.0030184163
+#>  [831] 0.0029884723 0.0029588245 0.0029294700 0.0029004058 0.0028716292
+#>  [836] 0.0028431372 0.0028149272 0.0027869962 0.0027593417 0.0027319608
+#>  [841] 0.0027048508 0.0026780092 0.0026514332 0.0026251203 0.0025990678
+#>  [846] 0.0025732732 0.0025477339 0.0025224475 0.0024974114 0.0024726232
+#>  [851] 0.0024480804 0.0024237806 0.0023997215 0.0023759006 0.0023523156
+#>  [856] 0.0023289642 0.0023058440 0.0022829529 0.0022602884 0.0022378485
+#>  [861] 0.0022156309 0.0021936334 0.0021718537 0.0021502899 0.0021289397
+#>  [866] 0.0021078011 0.0020868719 0.0020661500 0.0020456336 0.0020253204
+#>  [871] 0.0020052085 0.0019852960 0.0019655808 0.0019460610 0.0019267347
+#>  [876] 0.0019075999 0.0018886548 0.0018698975 0.0018513262 0.0018329389
+#>  [881] 0.0018147340 0.0017967095 0.0017788638 0.0017611950 0.0017437013
+#>  [886] 0.0017263812 0.0017092327 0.0016922544 0.0016754444 0.0016588011
+#>  [891] 0.0016423228 0.0016260080 0.0016098550 0.0015938622 0.0015780281
+#>  [896] 0.0015623510 0.0015468293 0.0015314617 0.0015162465 0.0015011823
+#>  [901] 0.0014862674 0.0014715006 0.0014568803 0.0014424050 0.0014280733
+#>  [906] 0.0014138838 0.0013998351 0.0013859258 0.0013721546 0.0013585200
+#>  [911] 0.0013450206 0.0013316553 0.0013184226 0.0013053212 0.0012923498
+#>  [916] 0.0012795071 0.0012667920 0.0012542030 0.0012417389 0.0012293986
+#>  [921] 0.0012171808 0.0012050842 0.0011931078 0.0011812502 0.0011695103
+#>  [926] 0.0011578869 0.0011463790 0.0011349852 0.0011237046 0.0011125360
+#>  [931] 0.0011014783 0.0010905304 0.0010796911 0.0010689595 0.0010583344
+#>  [936] 0.0010478149 0.0010373997 0.0010270881 0.0010168787 0.0010067708
+#>  [941] 0.0009967633 0.0009868551 0.0009770453 0.0009673330 0.0009577171
+#>  [946] 0.0009481966 0.0009387708 0.0009294385 0.0009201990 0.0009110512
+#>  [951] 0.0009019943 0.0008930273 0.0008841494 0.0008753596 0.0008666572
+#>  [956] 0.0008580412 0.0008495108 0.0008410652 0.0008327034 0.0008244247
+#>  [961] 0.0008162282 0.0008081132 0.0008000787 0.0007921241 0.0007842486
+#>  [966] 0.0007764512 0.0007687313 0.0007610881 0.0007535209 0.0007460288
+#>  [971] 0.0007386112 0.0007312673 0.0007239963 0.0007167976 0.0007096704
+#>  [976] 0.0007026140 0.0006956278 0.0006887109 0.0006818628 0.0006750827
+#>  [981] 0.0006683700 0.0006617240 0.0006551441 0.0006486295 0.0006421797
+#>  [986] 0.0006357940 0.0006294717 0.0006232123 0.0006170150 0.0006108794
+#>  [991] 0.0006048047 0.0005987904 0.0005928358 0.0005869405 0.0005811037
+#>  [996] 0.0005753250 0.0005696037 0.0005639392 0.0005583311 0.0005527786
+#> attr(,"X")
+#>         [,1] [,2]
+#>    [1,]    1    1
+#>    [2,]    1    2
+#>    [3,]    1    3
+#>    [4,]    1    4
+#>    [5,]    1    5
+#>    [6,]    1    6
+#>    [7,]    1    7
+#>    [8,]    1    8
+#>    [9,]    1    9
+#>   [10,]    1   10
+#>   [11,]    1   11
+#>   [12,]    1   12
+#>   [13,]    1   13
+#>   [14,]    1   14
+#>   [15,]    1   15
+#>   [16,]    1   16
+#>   [17,]    1   17
+#>   [18,]    1   18
+#>   [19,]    1   19
+#>   [20,]    1   20
+#>   [21,]    1   21
+#>   [22,]    1   22
+#>   [23,]    1   23
+#>   [24,]    1   24
+#>   [25,]    1   25
+#>   [26,]    1   26
+#>   [27,]    1   27
+#>   [28,]    1   28
+#>   [29,]    1   29
+#>   [30,]    1   30
+#>   [31,]    1   31
+#>   [32,]    1   32
+#>   [33,]    1   33
+#>   [34,]    1   34
+#>   [35,]    1   35
+#>   [36,]    1   36
+#>   [37,]    1   37
+#>   [38,]    1   38
+#>   [39,]    1   39
+#>   [40,]    1   40
+#>   [41,]    1   41
+#>   [42,]    1   42
+#>   [43,]    1   43
+#>   [44,]    1   44
+#>   [45,]    1   45
+#>   [46,]    1   46
+#>   [47,]    1   47
+#>   [48,]    1   48
+#>   [49,]    1   49
+#>   [50,]    1   50
+#>   [51,]    1   51
+#>   [52,]    1   52
+#>   [53,]    1   53
+#>   [54,]    1   54
+#>   [55,]    1   55
+#>   [56,]    1   56
+#>   [57,]    1   57
+#>   [58,]    1   58
+#>   [59,]    1   59
+#>   [60,]    1   60
+#>   [61,]    1   61
+#>   [62,]    1   62
+#>   [63,]    1   63
+#>   [64,]    1   64
+#>   [65,]    1   65
+#>   [66,]    1   66
+#>   [67,]    1   67
+#>   [68,]    1   68
+#>   [69,]    1   69
+#>   [70,]    1   70
+#>   [71,]    1   71
+#>   [72,]    1   72
+#>   [73,]    1   73
+#>   [74,]    1   74
+#>   [75,]    1   75
+#>   [76,]    1   76
+#>   [77,]    1   77
+#>   [78,]    1   78
+#>   [79,]    1   79
+#>   [80,]    1   80
+#>   [81,]    1   81
+#>   [82,]    1   82
+#>   [83,]    1   83
+#>   [84,]    1   84
+#>   [85,]    1   85
+#>   [86,]    1   86
+#>   [87,]    1   87
+#>   [88,]    1   88
+#>   [89,]    1   89
+#>   [90,]    1   90
+#>   [91,]    1   91
+#>   [92,]    1   92
+#>   [93,]    1   93
+#>   [94,]    1   94
+#>   [95,]    1   95
+#>   [96,]    1   96
+#>   [97,]    1   97
+#>   [98,]    1   98
+#>   [99,]    1   99
+#>  [100,]    1  100
+#>  [101,]    1  101
+#>  [102,]    1  102
+#>  [103,]    1  103
+#>  [104,]    1  104
+#>  [105,]    1  105
+#>  [106,]    1  106
+#>  [107,]    1  107
+#>  [108,]    1  108
+#>  [109,]    1  109
+#>  [110,]    1  110
+#>  [111,]    1  111
+#>  [112,]    1  112
+#>  [113,]    1  113
+#>  [114,]    1  114
+#>  [115,]    1  115
+#>  [116,]    1  116
+#>  [117,]    1  117
+#>  [118,]    1  118
+#>  [119,]    1  119
+#>  [120,]    1  120
+#>  [121,]    1  121
+#>  [122,]    1  122
+#>  [123,]    1  123
+#>  [124,]    1  124
+#>  [125,]    1  125
+#>  [126,]    1  126
+#>  [127,]    1  127
+#>  [128,]    1  128
+#>  [129,]    1  129
+#>  [130,]    1  130
+#>  [131,]    1  131
+#>  [132,]    1  132
+#>  [133,]    1  133
+#>  [134,]    1  134
+#>  [135,]    1  135
+#>  [136,]    1  136
+#>  [137,]    1  137
+#>  [138,]    1  138
+#>  [139,]    1  139
+#>  [140,]    1  140
+#>  [141,]    1  141
+#>  [142,]    1  142
+#>  [143,]    1  143
+#>  [144,]    1  144
+#>  [145,]    1  145
+#>  [146,]    1  146
+#>  [147,]    1  147
+#>  [148,]    1  148
+#>  [149,]    1  149
+#>  [150,]    1  150
+#>  [151,]    1  151
+#>  [152,]    1  152
+#>  [153,]    1  153
+#>  [154,]    1  154
+#>  [155,]    1  155
+#>  [156,]    1  156
+#>  [157,]    1  157
+#>  [158,]    1  158
+#>  [159,]    1  159
+#>  [160,]    1  160
+#>  [161,]    1  161
+#>  [162,]    1  162
+#>  [163,]    1  163
+#>  [164,]    1  164
+#>  [165,]    1  165
+#>  [166,]    1  166
+#>  [167,]    1  167
+#>  [168,]    1  168
+#>  [169,]    1  169
+#>  [170,]    1  170
+#>  [171,]    1  171
+#>  [172,]    1  172
+#>  [173,]    1  173
+#>  [174,]    1  174
+#>  [175,]    1  175
+#>  [176,]    1  176
+#>  [177,]    1  177
+#>  [178,]    1  178
+#>  [179,]    1  179
+#>  [180,]    1  180
+#>  [181,]    1  181
+#>  [182,]    1  182
+#>  [183,]    1  183
+#>  [184,]    1  184
+#>  [185,]    1  185
+#>  [186,]    1  186
+#>  [187,]    1  187
+#>  [188,]    1  188
+#>  [189,]    1  189
+#>  [190,]    1  190
+#>  [191,]    1  191
+#>  [192,]    1  192
+#>  [193,]    1  193
+#>  [194,]    1  194
+#>  [195,]    1  195
+#>  [196,]    1  196
+#>  [197,]    1  197
+#>  [198,]    1  198
+#>  [199,]    1  199
+#>  [200,]    1  200
+#>  [201,]    1  201
+#>  [202,]    1  202
+#>  [203,]    1  203
+#>  [204,]    1  204
+#>  [205,]    1  205
+#>  [206,]    1  206
+#>  [207,]    1  207
+#>  [208,]    1  208
+#>  [209,]    1  209
+#>  [210,]    1  210
+#>  [211,]    1  211
+#>  [212,]    1  212
+#>  [213,]    1  213
+#>  [214,]    1  214
+#>  [215,]    1  215
+#>  [216,]    1  216
+#>  [217,]    1  217
+#>  [218,]    1  218
+#>  [219,]    1  219
+#>  [220,]    1  220
+#>  [221,]    1  221
+#>  [222,]    1  222
+#>  [223,]    1  223
+#>  [224,]    1  224
+#>  [225,]    1  225
+#>  [226,]    1  226
+#>  [227,]    1  227
+#>  [228,]    1  228
+#>  [229,]    1  229
+#>  [230,]    1  230
+#>  [231,]    1  231
+#>  [232,]    1  232
+#>  [233,]    1  233
+#>  [234,]    1  234
+#>  [235,]    1  235
+#>  [236,]    1  236
+#>  [237,]    1  237
+#>  [238,]    1  238
+#>  [239,]    1  239
+#>  [240,]    1  240
+#>  [241,]    1  241
+#>  [242,]    1  242
+#>  [243,]    1  243
+#>  [244,]    1  244
+#>  [245,]    1  245
+#>  [246,]    1  246
+#>  [247,]    1  247
+#>  [248,]    1  248
+#>  [249,]    1  249
+#>  [250,]    1  250
+#>  [251,]    1  251
+#>  [252,]    1  252
+#>  [253,]    1  253
+#>  [254,]    1  254
+#>  [255,]    1  255
+#>  [256,]    1  256
+#>  [257,]    1  257
+#>  [258,]    1  258
+#>  [259,]    1  259
+#>  [260,]    1  260
+#>  [261,]    1  261
+#>  [262,]    1  262
+#>  [263,]    1  263
+#>  [264,]    1  264
+#>  [265,]    1  265
+#>  [266,]    1  266
+#>  [267,]    1  267
+#>  [268,]    1  268
+#>  [269,]    1  269
+#>  [270,]    1  270
+#>  [271,]    1  271
+#>  [272,]    1  272
+#>  [273,]    1  273
+#>  [274,]    1  274
+#>  [275,]    1  275
+#>  [276,]    1  276
+#>  [277,]    1  277
+#>  [278,]    1  278
+#>  [279,]    1  279
+#>  [280,]    1  280
+#>  [281,]    1  281
+#>  [282,]    1  282
+#>  [283,]    1  283
+#>  [284,]    1  284
+#>  [285,]    1  285
+#>  [286,]    1  286
+#>  [287,]    1  287
+#>  [288,]    1  288
+#>  [289,]    1  289
+#>  [290,]    1  290
+#>  [291,]    1  291
+#>  [292,]    1  292
+#>  [293,]    1  293
+#>  [294,]    1  294
+#>  [295,]    1  295
+#>  [296,]    1  296
+#>  [297,]    1  297
+#>  [298,]    1  298
+#>  [299,]    1  299
+#>  [300,]    1  300
+#>  [301,]    1  301
+#>  [302,]    1  302
+#>  [303,]    1  303
+#>  [304,]    1  304
+#>  [305,]    1  305
+#>  [306,]    1  306
+#>  [307,]    1  307
+#>  [308,]    1  308
+#>  [309,]    1  309
+#>  [310,]    1  310
+#>  [311,]    1  311
+#>  [312,]    1  312
+#>  [313,]    1  313
+#>  [314,]    1  314
+#>  [315,]    1  315
+#>  [316,]    1  316
+#>  [317,]    1  317
+#>  [318,]    1  318
+#>  [319,]    1  319
+#>  [320,]    1  320
+#>  [321,]    1  321
+#>  [322,]    1  322
+#>  [323,]    1  323
+#>  [324,]    1  324
+#>  [325,]    1  325
+#>  [326,]    1  326
+#>  [327,]    1  327
+#>  [328,]    1  328
+#>  [329,]    1  329
+#>  [330,]    1  330
+#>  [331,]    1  331
+#>  [332,]    1  332
+#>  [333,]    1  333
+#>  [334,]    1  334
+#>  [335,]    1  335
+#>  [336,]    1  336
+#>  [337,]    1  337
+#>  [338,]    1  338
+#>  [339,]    1  339
+#>  [340,]    1  340
+#>  [341,]    1  341
+#>  [342,]    1  342
+#>  [343,]    1  343
+#>  [344,]    1  344
+#>  [345,]    1  345
+#>  [346,]    1  346
+#>  [347,]    1  347
+#>  [348,]    1  348
+#>  [349,]    1  349
+#>  [350,]    1  350
+#>  [351,]    1  351
+#>  [352,]    1  352
+#>  [353,]    1  353
+#>  [354,]    1  354
+#>  [355,]    1  355
+#>  [356,]    1  356
+#>  [357,]    1  357
+#>  [358,]    1  358
+#>  [359,]    1  359
+#>  [360,]    1  360
+#>  [361,]    1  361
+#>  [362,]    1  362
+#>  [363,]    1  363
+#>  [364,]    1  364
+#>  [365,]    1  365
+#>  [366,]    1  366
+#>  [367,]    1  367
+#>  [368,]    1  368
+#>  [369,]    1  369
+#>  [370,]    1  370
+#>  [371,]    1  371
+#>  [372,]    1  372
+#>  [373,]    1  373
+#>  [374,]    1  374
+#>  [375,]    1  375
+#>  [376,]    1  376
+#>  [377,]    1  377
+#>  [378,]    1  378
+#>  [379,]    1  379
+#>  [380,]    1  380
+#>  [381,]    1  381
+#>  [382,]    1  382
+#>  [383,]    1  383
+#>  [384,]    1  384
+#>  [385,]    1  385
+#>  [386,]    1  386
+#>  [387,]    1  387
+#>  [388,]    1  388
+#>  [389,]    1  389
+#>  [390,]    1  390
+#>  [391,]    1  391
+#>  [392,]    1  392
+#>  [393,]    1  393
+#>  [394,]    1  394
+#>  [395,]    1  395
+#>  [396,]    1  396
+#>  [397,]    1  397
+#>  [398,]    1  398
+#>  [399,]    1  399
+#>  [400,]    1  400
+#>  [401,]    1  401
+#>  [402,]    1  402
+#>  [403,]    1  403
+#>  [404,]    1  404
+#>  [405,]    1  405
+#>  [406,]    1  406
+#>  [407,]    1  407
+#>  [408,]    1  408
+#>  [409,]    1  409
+#>  [410,]    1  410
+#>  [411,]    1  411
+#>  [412,]    1  412
+#>  [413,]    1  413
+#>  [414,]    1  414
+#>  [415,]    1  415
+#>  [416,]    1  416
+#>  [417,]    1  417
+#>  [418,]    1  418
+#>  [419,]    1  419
+#>  [420,]    1  420
+#>  [421,]    1  421
+#>  [422,]    1  422
+#>  [423,]    1  423
+#>  [424,]    1  424
+#>  [425,]    1  425
+#>  [426,]    1  426
+#>  [427,]    1  427
+#>  [428,]    1  428
+#>  [429,]    1  429
+#>  [430,]    1  430
+#>  [431,]    1  431
+#>  [432,]    1  432
+#>  [433,]    1  433
+#>  [434,]    1  434
+#>  [435,]    1  435
+#>  [436,]    1  436
+#>  [437,]    1  437
+#>  [438,]    1  438
+#>  [439,]    1  439
+#>  [440,]    1  440
+#>  [441,]    1  441
+#>  [442,]    1  442
+#>  [443,]    1  443
+#>  [444,]    1  444
+#>  [445,]    1  445
+#>  [446,]    1  446
+#>  [447,]    1  447
+#>  [448,]    1  448
+#>  [449,]    1  449
+#>  [450,]    1  450
+#>  [451,]    1  451
+#>  [452,]    1  452
+#>  [453,]    1  453
+#>  [454,]    1  454
+#>  [455,]    1  455
+#>  [456,]    1  456
+#>  [457,]    1  457
+#>  [458,]    1  458
+#>  [459,]    1  459
+#>  [460,]    1  460
+#>  [461,]    1  461
+#>  [462,]    1  462
+#>  [463,]    1  463
+#>  [464,]    1  464
+#>  [465,]    1  465
+#>  [466,]    1  466
+#>  [467,]    1  467
+#>  [468,]    1  468
+#>  [469,]    1  469
+#>  [470,]    1  470
+#>  [471,]    1  471
+#>  [472,]    1  472
+#>  [473,]    1  473
+#>  [474,]    1  474
+#>  [475,]    1  475
+#>  [476,]    1  476
+#>  [477,]    1  477
+#>  [478,]    1  478
+#>  [479,]    1  479
+#>  [480,]    1  480
+#>  [481,]    1  481
+#>  [482,]    1  482
+#>  [483,]    1  483
+#>  [484,]    1  484
+#>  [485,]    1  485
+#>  [486,]    1  486
+#>  [487,]    1  487
+#>  [488,]    1  488
+#>  [489,]    1  489
+#>  [490,]    1  490
+#>  [491,]    1  491
+#>  [492,]    1  492
+#>  [493,]    1  493
+#>  [494,]    1  494
+#>  [495,]    1  495
+#>  [496,]    1  496
+#>  [497,]    1  497
+#>  [498,]    1  498
+#>  [499,]    1  499
+#>  [500,]    1  500
+#>  [501,]    1  501
+#>  [502,]    1  502
+#>  [503,]    1  503
+#>  [504,]    1  504
+#>  [505,]    1  505
+#>  [506,]    1  506
+#>  [507,]    1  507
+#>  [508,]    1  508
+#>  [509,]    1  509
+#>  [510,]    1  510
+#>  [511,]    1  511
+#>  [512,]    1  512
+#>  [513,]    1  513
+#>  [514,]    1  514
+#>  [515,]    1  515
+#>  [516,]    1  516
+#>  [517,]    1  517
+#>  [518,]    1  518
+#>  [519,]    1  519
+#>  [520,]    1  520
+#>  [521,]    1  521
+#>  [522,]    1  522
+#>  [523,]    1  523
+#>  [524,]    1  524
+#>  [525,]    1  525
+#>  [526,]    1  526
+#>  [527,]    1  527
+#>  [528,]    1  528
+#>  [529,]    1  529
+#>  [530,]    1  530
+#>  [531,]    1  531
+#>  [532,]    1  532
+#>  [533,]    1  533
+#>  [534,]    1  534
+#>  [535,]    1  535
+#>  [536,]    1  536
+#>  [537,]    1  537
+#>  [538,]    1  538
+#>  [539,]    1  539
+#>  [540,]    1  540
+#>  [541,]    1  541
+#>  [542,]    1  542
+#>  [543,]    1  543
+#>  [544,]    1  544
+#>  [545,]    1  545
+#>  [546,]    1  546
+#>  [547,]    1  547
+#>  [548,]    1  548
+#>  [549,]    1  549
+#>  [550,]    1  550
+#>  [551,]    1  551
+#>  [552,]    1  552
+#>  [553,]    1  553
+#>  [554,]    1  554
+#>  [555,]    1  555
+#>  [556,]    1  556
+#>  [557,]    1  557
+#>  [558,]    1  558
+#>  [559,]    1  559
+#>  [560,]    1  560
+#>  [561,]    1  561
+#>  [562,]    1  562
+#>  [563,]    1  563
+#>  [564,]    1  564
+#>  [565,]    1  565
+#>  [566,]    1  566
+#>  [567,]    1  567
+#>  [568,]    1  568
+#>  [569,]    1  569
+#>  [570,]    1  570
+#>  [571,]    1  571
+#>  [572,]    1  572
+#>  [573,]    1  573
+#>  [574,]    1  574
+#>  [575,]    1  575
+#>  [576,]    1  576
+#>  [577,]    1  577
+#>  [578,]    1  578
+#>  [579,]    1  579
+#>  [580,]    1  580
+#>  [581,]    1  581
+#>  [582,]    1  582
+#>  [583,]    1  583
+#>  [584,]    1  584
+#>  [585,]    1  585
+#>  [586,]    1  586
+#>  [587,]    1  587
+#>  [588,]    1  588
+#>  [589,]    1  589
+#>  [590,]    1  590
+#>  [591,]    1  591
+#>  [592,]    1  592
+#>  [593,]    1  593
+#>  [594,]    1  594
+#>  [595,]    1  595
+#>  [596,]    1  596
+#>  [597,]    1  597
+#>  [598,]    1  598
+#>  [599,]    1  599
+#>  [600,]    1  600
+#>  [601,]    1  601
+#>  [602,]    1  602
+#>  [603,]    1  603
+#>  [604,]    1  604
+#>  [605,]    1  605
+#>  [606,]    1  606
+#>  [607,]    1  607
+#>  [608,]    1  608
+#>  [609,]    1  609
+#>  [610,]    1  610
+#>  [611,]    1  611
+#>  [612,]    1  612
+#>  [613,]    1  613
+#>  [614,]    1  614
+#>  [615,]    1  615
+#>  [616,]    1  616
+#>  [617,]    1  617
+#>  [618,]    1  618
+#>  [619,]    1  619
+#>  [620,]    1  620
+#>  [621,]    1  621
+#>  [622,]    1  622
+#>  [623,]    1  623
+#>  [624,]    1  624
+#>  [625,]    1  625
+#>  [626,]    1  626
+#>  [627,]    1  627
+#>  [628,]    1  628
+#>  [629,]    1  629
+#>  [630,]    1  630
+#>  [631,]    1  631
+#>  [632,]    1  632
+#>  [633,]    1  633
+#>  [634,]    1  634
+#>  [635,]    1  635
+#>  [636,]    1  636
+#>  [637,]    1  637
+#>  [638,]    1  638
+#>  [639,]    1  639
+#>  [640,]    1  640
+#>  [641,]    1  641
+#>  [642,]    1  642
+#>  [643,]    1  643
+#>  [644,]    1  644
+#>  [645,]    1  645
+#>  [646,]    1  646
+#>  [647,]    1  647
+#>  [648,]    1  648
+#>  [649,]    1  649
+#>  [650,]    1  650
+#>  [651,]    1  651
+#>  [652,]    1  652
+#>  [653,]    1  653
+#>  [654,]    1  654
+#>  [655,]    1  655
+#>  [656,]    1  656
+#>  [657,]    1  657
+#>  [658,]    1  658
+#>  [659,]    1  659
+#>  [660,]    1  660
+#>  [661,]    1  661
+#>  [662,]    1  662
+#>  [663,]    1  663
+#>  [664,]    1  664
+#>  [665,]    1  665
+#>  [666,]    1  666
+#>  [667,]    1  667
+#>  [668,]    1  668
+#>  [669,]    1  669
+#>  [670,]    1  670
+#>  [671,]    1  671
+#>  [672,]    1  672
+#>  [673,]    1  673
+#>  [674,]    1  674
+#>  [675,]    1  675
+#>  [676,]    1  676
+#>  [677,]    1  677
+#>  [678,]    1  678
+#>  [679,]    1  679
+#>  [680,]    1  680
+#>  [681,]    1  681
+#>  [682,]    1  682
+#>  [683,]    1  683
+#>  [684,]    1  684
+#>  [685,]    1  685
+#>  [686,]    1  686
+#>  [687,]    1  687
+#>  [688,]    1  688
+#>  [689,]    1  689
+#>  [690,]    1  690
+#>  [691,]    1  691
+#>  [692,]    1  692
+#>  [693,]    1  693
+#>  [694,]    1  694
+#>  [695,]    1  695
+#>  [696,]    1  696
+#>  [697,]    1  697
+#>  [698,]    1  698
+#>  [699,]    1  699
+#>  [700,]    1  700
+#>  [701,]    1  701
+#>  [702,]    1  702
+#>  [703,]    1  703
+#>  [704,]    1  704
+#>  [705,]    1  705
+#>  [706,]    1  706
+#>  [707,]    1  707
+#>  [708,]    1  708
+#>  [709,]    1  709
+#>  [710,]    1  710
+#>  [711,]    1  711
+#>  [712,]    1  712
+#>  [713,]    1  713
+#>  [714,]    1  714
+#>  [715,]    1  715
+#>  [716,]    1  716
+#>  [717,]    1  717
+#>  [718,]    1  718
+#>  [719,]    1  719
+#>  [720,]    1  720
+#>  [721,]    1  721
+#>  [722,]    1  722
+#>  [723,]    1  723
+#>  [724,]    1  724
+#>  [725,]    1  725
+#>  [726,]    1  726
+#>  [727,]    1  727
+#>  [728,]    1  728
+#>  [729,]    1  729
+#>  [730,]    1  730
+#>  [731,]    1  731
+#>  [732,]    1  732
+#>  [733,]    1  733
+#>  [734,]    1  734
+#>  [735,]    1  735
+#>  [736,]    1  736
+#>  [737,]    1  737
+#>  [738,]    1  738
+#>  [739,]    1  739
+#>  [740,]    1  740
+#>  [741,]    1  741
+#>  [742,]    1  742
+#>  [743,]    1  743
+#>  [744,]    1  744
+#>  [745,]    1  745
+#>  [746,]    1  746
+#>  [747,]    1  747
+#>  [748,]    1  748
+#>  [749,]    1  749
+#>  [750,]    1  750
+#>  [751,]    1  751
+#>  [752,]    1  752
+#>  [753,]    1  753
+#>  [754,]    1  754
+#>  [755,]    1  755
+#>  [756,]    1  756
+#>  [757,]    1  757
+#>  [758,]    1  758
+#>  [759,]    1  759
+#>  [760,]    1  760
+#>  [761,]    1  761
+#>  [762,]    1  762
+#>  [763,]    1  763
+#>  [764,]    1  764
+#>  [765,]    1  765
+#>  [766,]    1  766
+#>  [767,]    1  767
+#>  [768,]    1  768
+#>  [769,]    1  769
+#>  [770,]    1  770
+#>  [771,]    1  771
+#>  [772,]    1  772
+#>  [773,]    1  773
+#>  [774,]    1  774
+#>  [775,]    1  775
+#>  [776,]    1  776
+#>  [777,]    1  777
+#>  [778,]    1  778
+#>  [779,]    1  779
+#>  [780,]    1  780
+#>  [781,]    1  781
+#>  [782,]    1  782
+#>  [783,]    1  783
+#>  [784,]    1  784
+#>  [785,]    1  785
+#>  [786,]    1  786
+#>  [787,]    1  787
+#>  [788,]    1  788
+#>  [789,]    1  789
+#>  [790,]    1  790
+#>  [791,]    1  791
+#>  [792,]    1  792
+#>  [793,]    1  793
+#>  [794,]    1  794
+#>  [795,]    1  795
+#>  [796,]    1  796
+#>  [797,]    1  797
+#>  [798,]    1  798
+#>  [799,]    1  799
+#>  [800,]    1  800
+#>  [801,]    1  801
+#>  [802,]    1  802
+#>  [803,]    1  803
+#>  [804,]    1  804
+#>  [805,]    1  805
+#>  [806,]    1  806
+#>  [807,]    1  807
+#>  [808,]    1  808
+#>  [809,]    1  809
+#>  [810,]    1  810
+#>  [811,]    1  811
+#>  [812,]    1  812
+#>  [813,]    1  813
+#>  [814,]    1  814
+#>  [815,]    1  815
+#>  [816,]    1  816
+#>  [817,]    1  817
+#>  [818,]    1  818
+#>  [819,]    1  819
+#>  [820,]    1  820
+#>  [821,]    1  821
+#>  [822,]    1  822
+#>  [823,]    1  823
+#>  [824,]    1  824
+#>  [825,]    1  825
+#>  [826,]    1  826
+#>  [827,]    1  827
+#>  [828,]    1  828
+#>  [829,]    1  829
+#>  [830,]    1  830
+#>  [831,]    1  831
+#>  [832,]    1  832
+#>  [833,]    1  833
+#>  [834,]    1  834
+#>  [835,]    1  835
+#>  [836,]    1  836
+#>  [837,]    1  837
+#>  [838,]    1  838
+#>  [839,]    1  839
+#>  [840,]    1  840
+#>  [841,]    1  841
+#>  [842,]    1  842
+#>  [843,]    1  843
+#>  [844,]    1  844
+#>  [845,]    1  845
+#>  [846,]    1  846
+#>  [847,]    1  847
+#>  [848,]    1  848
+#>  [849,]    1  849
+#>  [850,]    1  850
+#>  [851,]    1  851
+#>  [852,]    1  852
+#>  [853,]    1  853
+#>  [854,]    1  854
+#>  [855,]    1  855
+#>  [856,]    1  856
+#>  [857,]    1  857
+#>  [858,]    1  858
+#>  [859,]    1  859
+#>  [860,]    1  860
+#>  [861,]    1  861
+#>  [862,]    1  862
+#>  [863,]    1  863
+#>  [864,]    1  864
+#>  [865,]    1  865
+#>  [866,]    1  866
+#>  [867,]    1  867
+#>  [868,]    1  868
+#>  [869,]    1  869
+#>  [870,]    1  870
+#>  [871,]    1  871
+#>  [872,]    1  872
+#>  [873,]    1  873
+#>  [874,]    1  874
+#>  [875,]    1  875
+#>  [876,]    1  876
+#>  [877,]    1  877
+#>  [878,]    1  878
+#>  [879,]    1  879
+#>  [880,]    1  880
+#>  [881,]    1  881
+#>  [882,]    1  882
+#>  [883,]    1  883
+#>  [884,]    1  884
+#>  [885,]    1  885
+#>  [886,]    1  886
+#>  [887,]    1  887
+#>  [888,]    1  888
+#>  [889,]    1  889
+#>  [890,]    1  890
+#>  [891,]    1  891
+#>  [892,]    1  892
+#>  [893,]    1  893
+#>  [894,]    1  894
+#>  [895,]    1  895
+#>  [896,]    1  896
+#>  [897,]    1  897
+#>  [898,]    1  898
+#>  [899,]    1  899
+#>  [900,]    1  900
+#>  [901,]    1  901
+#>  [902,]    1  902
+#>  [903,]    1  903
+#>  [904,]    1  904
+#>  [905,]    1  905
+#>  [906,]    1  906
+#>  [907,]    1  907
+#>  [908,]    1  908
+#>  [909,]    1  909
+#>  [910,]    1  910
+#>  [911,]    1  911
+#>  [912,]    1  912
+#>  [913,]    1  913
+#>  [914,]    1  914
+#>  [915,]    1  915
+#>  [916,]    1  916
+#>  [917,]    1  917
+#>  [918,]    1  918
+#>  [919,]    1  919
+#>  [920,]    1  920
+#>  [921,]    1  921
+#>  [922,]    1  922
+#>  [923,]    1  923
+#>  [924,]    1  924
+#>  [925,]    1  925
+#>  [926,]    1  926
+#>  [927,]    1  927
+#>  [928,]    1  928
+#>  [929,]    1  929
+#>  [930,]    1  930
+#>  [931,]    1  931
+#>  [932,]    1  932
+#>  [933,]    1  933
+#>  [934,]    1  934
+#>  [935,]    1  935
+#>  [936,]    1  936
+#>  [937,]    1  937
+#>  [938,]    1  938
+#>  [939,]    1  939
+#>  [940,]    1  940
+#>  [941,]    1  941
+#>  [942,]    1  942
+#>  [943,]    1  943
+#>  [944,]    1  944
+#>  [945,]    1  945
+#>  [946,]    1  946
+#>  [947,]    1  947
+#>  [948,]    1  948
+#>  [949,]    1  949
+#>  [950,]    1  950
+#>  [951,]    1  951
+#>  [952,]    1  952
+#>  [953,]    1  953
+#>  [954,]    1  954
+#>  [955,]    1  955
+#>  [956,]    1  956
+#>  [957,]    1  957
+#>  [958,]    1  958
+#>  [959,]    1  959
+#>  [960,]    1  960
+#>  [961,]    1  961
+#>  [962,]    1  962
+#>  [963,]    1  963
+#>  [964,]    1  964
+#>  [965,]    1  965
+#>  [966,]    1  966
+#>  [967,]    1  967
+#>  [968,]    1  968
+#>  [969,]    1  969
+#>  [970,]    1  970
+#>  [971,]    1  971
+#>  [972,]    1  972
+#>  [973,]    1  973
+#>  [974,]    1  974
+#>  [975,]    1  975
+#>  [976,]    1  976
+#>  [977,]    1  977
+#>  [978,]    1  978
+#>  [979,]    1  979
+#>  [980,]    1  980
+#>  [981,]    1  981
+#>  [982,]    1  982
+#>  [983,]    1  983
+#>  [984,]    1  984
+#>  [985,]    1  985
+#>  [986,]    1  986
+#>  [987,]    1  987
+#>  [988,]    1  988
+#>  [989,]    1  989
+#>  [990,]    1  990
+#>  [991,]    1  991
+#>  [992,]    1  992
+#>  [993,]    1  993
+#>  [994,]    1  994
+#>  [995,]    1  995
+#>  [996,]    1  996
+#>  [997,]    1  997
+#>  [998,]    1  998
+#>  [999,]    1  999
+#> [1000,]    1 1000
+#> attr(,"beta")
+#>         [,1]
+#> beta_0  2.50
+#> beta_1 -0.01
+#> attr(,"inv_link")
+#> function (q, location = 0, scale = 1, lower.tail = TRUE, log.p = FALSE) 
+#> .Call(C_plogis, q, location, scale, lower.tail, log.p)
+#> <bytecode: 0x7fb9a83e2970>
+#> <environment: namespace:stats>
+
+
    +
    +
    - - - + + diff --git a/docs/reference/get_hr-1.png b/docs/reference/get_hr-1.png index 92846dc..c7608db 100644 Binary files a/docs/reference/get_hr-1.png and b/docs/reference/get_hr-1.png differ diff --git a/docs/reference/get_hr-2.png b/docs/reference/get_hr-2.png index b865fb1..f1b4fae 100644 Binary files a/docs/reference/get_hr-2.png and b/docs/reference/get_hr-2.png differ diff --git a/docs/reference/get_hr-3.png b/docs/reference/get_hr-3.png index 538eead..7aa5351 100644 Binary files a/docs/reference/get_hr-3.png and b/docs/reference/get_hr-3.png differ diff --git a/docs/reference/get_hr-4.png b/docs/reference/get_hr-4.png index b036c29..20acb03 100644 Binary files a/docs/reference/get_hr-4.png and b/docs/reference/get_hr-4.png differ diff --git a/docs/reference/get_hr.html b/docs/reference/get_hr.html index 37a597a..6196bb8 100644 --- a/docs/reference/get_hr.html +++ b/docs/reference/get_hr.html @@ -1,67 +1,12 @@ - - - - - - - -Get animal `home ranges' — get_hr • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Get animal `home ranges' — get_hr • flapper - + + - - - -
    -
    - -
    - -
    +

    Get animal `home ranges'

    - Source: R/get_hr.R + Source: R/get_hr.R
    -

    These functions extract `home range' estimates from raster objects that describe the intensity of movements within an area (from example from pf_kud).

    +

    These functions extract `home range' estimates from SpatRaster (or raster) objects that describe the intensity of movements within an area (from example from pf_kud).

    - 
    get_hr_prop(
-  x,
-  prop = 0.5,
-  plot = TRUE,
-  add_raster = list(),
-  add_contour = list(),
-  ...
-)
-
-get_hr_core(x, plot = TRUE, add_raster = list(), add_contour = list(), ...)
-
-get_hr_home(x, plot = TRUE, add_raster = list(), add_contour = list(), ...)
-
-get_hr_full(x, plot = TRUE, add_raster = list(), add_contour = list(), ...)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - -
    x

    A raster of the utilisation distribution (UD).

    prop

    For get_hr_prop, prop is a number that defines the home range proportion.

    plot

    A logical variable that defines whether or not to plot the home range.

    add_raster, add_contour, ...

    Plot customisation options. add_raster is a named list of arguments to customise the home range surface that is passed to pretty_map. ... are additional arguments passed to pretty_map. add_contour is a named list of arguments passed to contour that is called afterwards.

    - -

    Value

    - -

    The functions return a raster. Cells with a value of one are inside the specified range boundaries; cells with a value of zero are beyond range boundaries.

    -

    Details

    - -

    Animal home ranges are widely quantified as `the smallest subregion that accounts for a specified proportion, p, of [the animal's] total distribution' (Jennrich and Turner 1969, page 232). In line with this approach, get_hr_prop extracts the region within a frequency distribution of space use (i.e., UD) that is enclosed by a specified proportion (prop) contour. Following the most widely used adopted conventions, three additional wrapper functions facilitate the extraction of core, home and full ranges:

      -

    • get_hr_core extracts the `core range' as the region enclosed by the 50 percent contour of the UD (prop = 0.50);

      • -

    • get_hr_home extracts the `home range' as the 95 percent contour of the UD (prop = 0.95);

      • -

    • get_hr_full extracts the `full' range as the boundaries of the UD (prop = 1.00);

      • -
    +
    + 
    get_hr_prop(
+  x,
+  prop = 0.5,
+  plot = TRUE,
+  add_raster = list(),
+  add_contour = list(),
+  ...
+)
+
+get_hr_core(x, plot = TRUE, add_raster = list(), add_contour = list(), ...)
+
+get_hr_home(x, plot = TRUE, add_raster = list(), add_contour = list(), ...)
+
+get_hr_full(x, plot = TRUE, add_raster = list(), add_contour = list(), ...)
    +
    -

    These functions are simple wrappers for raster.vol. They differ from functions in the adehabitatHR package (namely getverticeshr) in that they are designed to input and output raster objects.

    -

    References

    +
    +

    Arguments

    +
    x
    +

    A SpatRaster (or a raster) of the utilisation distribution (UD).

    -

    Jennrich, R. I. and Turner, F. B. (1969). Measurement of non-circular home range. Journal of Theoretical Biology, 22, 227--237.

    -

    Author

    +
    prop
    +

    For get_hr_prop, prop is a number that defines the home range proportion.

    + + +
    plot
    +

    A logical variable that defines whether or not to plot the home range.

    + + +
    add_raster, add_contour, ...
    +

    Plot customisation options. add_raster is a named list of arguments to customise the home range surface that is passed to pretty_map. ... are additional arguments passed to pretty_map. add_contour is a named list of arguments passed to contour that is called afterwards.

    + +
    +
    +

    Value

    + + +

    The functions return a raster. Cells with a value of one are inside the specified range boundaries; cells with a value of zero are beyond range boundaries.

    +
    +
    +

    Details

    +

    Animal home ranges are widely quantified as `the smallest subregion that accounts for a specified proportion, p, of [the animal's] total distribution' (Jennrich and Turner 1969, page 232). In line with this approach, get_hr_prop extracts the region within a frequency distribution of space use (i.e., UD) that is enclosed by a specified proportion (prop) contour. Following the most widely used adopted conventions, three additional wrapper functions facilitate the extraction of core, home and full ranges:

    • get_hr_core extracts the `core range' as the region enclosed by the 50 percent contour of the UD (prop = 0.50);

      • +

    • get_hr_home extracts the `home range' as the 95 percent contour of the UD (prop = 0.95);

      • +

    • get_hr_full extracts the `full' range as the boundaries of the UD (prop = 1.00);

      • +

    These functions are simple wrappers for raster.vol. They differ from functions in the adehabitatHR package (namely getverticeshr) in that they are designed to input and output raster objects.

    +
    +
    +

    References

    +

    Jennrich, R. I. and Turner, F. B. (1969). Measurement of non-circular home range. Journal of Theoretical Biology, 22, 227--237.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Define an example UD
-# We will use particles sampled by a particle filtering algorithm
-# ... to create a UD:
-particles <- pf_simplify(dat_dcpf_histories,
-                         summarise_pr = max,
-                         return = "archive")
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:04:18)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... ... Processing connected cells for return = 'archive'... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:04:18) after ~0 minutes. 
    # Define grids for UD estimation
-map       <- dat_dcpf_histories$args$bathy
-habitat   <- kud_habitat(map, plot = FALSE)
-# Define UD as a raster
-ud        <- pf_kud_2(particles,
-                      bathy = map, grid = habitat,
-                      estimate_ud = kud_around_coastline,
-                      plot = FALSE)
-
    #> flapper::pf_kud_2() called (@ 2022-06-17 10:04:18)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Processing sampled locations... 
-#> ... Implementing KUD estimation... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
-#> ... flapper::pf_kud_2() call completed (@ 2022-06-17 10:04:18) after ~0 minutes. 
    
-#### Plot UD and home range estimators
-pp <- par(mfrow = c(2, 2))
-prettyGraphics::pretty_map(add_rasters = list(x = ud), main = "UD")
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    get_hr_full(ud, main = "Full range")
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> The minimum and maximum values on the raster are the same: z-limits adjusted by +/- 5 per cent.
    #> Warning: all z values are equal
    get_hr_home(ud, main = "Home range")
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    get_hr_core(ud, main = "Core range")
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    par(pp)
-
-#### Extract custom ranges with get_hr_prop()
-get_hr_prop(ud, prop = 0.25)
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    get_hr_prop(ud, prop = 0.10)
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    get_hr_prop(ud, prop = 0.05)
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    
-
    +
    +

    Examples

    + 
    #### Define an example UD
+# We will use particles sampled by a particle filtering algorithm
+# ... to create a UD:
+particles <- pf_simplify(dat_dcpf_histories,
+                         summarise_pr = max,
+                         return = "archive")
+#> flapper::pf_simplify() called (@ 2023-02-19 14:59:38)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... ... Processing connected cells for return = 'archive'... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 14:59:39) after ~0.01 minutes. 
+# Define grids for UD estimation
+map       <- dat_dcpf_histories$args$bathy
+habitat   <- kud_habitat(map, plot = FALSE)
+# Define UD as a raster
+ud        <- pf_kud_2(particles,
+                      bathy = map, grid = habitat,
+                      estimate_ud = kud_around_coastline,
+                      plot = FALSE)
+#> flapper::pf_kud_2() called (@ 2023-02-19 14:59:39)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Processing sampled locations... 
+#> ... Implementing KUD estimation... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> ... flapper::pf_kud_2() call completed (@ 2023-02-19 14:59:39) after ~0 minutes. 
+
+#### Plot UD and home range estimators
+pp <- par(mfrow = c(2, 2))
+prettyGraphics::pretty_map(add_rasters = list(x = ud), main = "UD")
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+get_hr_full(ud, main = "Full range")
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> The minimum and maximum values on the raster are the same: z-limits adjusted by +/- 5 per cent.
+#> Warning: all z values are equal
+get_hr_home(ud, main = "Home range")
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+get_hr_core(ud, main = "Core range")
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+par(pp)
+
+#### Extract custom ranges with get_hr_prop()
+get_hr_prop(ud, prop = 0.25)
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+get_hr_prop(ud, prop = 0.10)
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+get_hr_prop(ud, prop = 0.05)
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/get_id_rec_overlap.html b/docs/reference/get_id_rec_overlap.html index 46c6280..f9a42c0 100644 --- a/docs/reference/get_id_rec_overlap.html +++ b/docs/reference/get_id_rec_overlap.html @@ -1,67 +1,12 @@ - - - - - - - -Calculate the overlap between individuals' time at liberty and receivers' operational periods — get_id_rec_overlap • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate the overlap between individuals' time at liberty and receivers' operational periods — get_id_rec_overlap • flapper + + - - - - -
    -
    - -
    - -
    +

    Calculate the overlap between individuals' time at liberty and receivers' operational periods

    - Source: R/get_detections.R + Source: R/get_detections.R
    @@ -123,111 +65,112 @@

    Calculate the overlap between individuals' time at liberty and receivers' op

    This function calculates the duration of the overlap (in days) between individuals' time at liberty and receivers' operational periods. To implement this function, a dataframe with individual deployment periods and another with receiver deployment periods must be specified. The duration of the overlap between these intervals can be calculated for all combinations of individuals and receivers within these two dataframes, for all combinations of specified individuals and receivers, or for specific individual/receiver pairs. The function returns a dataframe of the overlap duration for these individual/receiver combinations or a vector of values that is matched against another dataframe.

    - 
    get_id_rec_overlap(
-  ids,
-  moorings,
-  individual_id = NULL,
-  receiver_id = NULL,
-  type = 1L,
-  match_to = NULL
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - -
    ids

    A dataframe that defines individual deployment periods. This must contain a column that defines individual IDs (named `individual_id') and the time of tagging (named `tag_start_date') and time of tag retrieval (`tag_end_date') (see dat_ids for an example).

    moorings

    A dataframe that defines receiver deployment periods. This must contain a column that defines receiver IDs (named `receiver_id') and the time of receiver deployment (named `receiver_start_date') and retrieval (named `receiver_end_date') (see dat_moorings for an example).

    individual_id

    (optional) A vector of individuals for which to calculate overlap duration.

    receiver_id

    (optional) A vector of receivers for which to calculate overlap duration.

    type

    If both individual_id and receiver_id are specified, then type is an integer that defines whether or not to calculate overlap duration for (a) each individual/receiver pair (type = 1L) or (b) all combinations of specified individuals/receivers (type = 2L).

    match_to

    (optional) A dataframe against which to match the calculated overlap duration(s). This must contain an `individual_id' and `receiver_id' column, as in ids and moorings respectively. If supplied, an integer vector of overlap durations for individual/receiver combinations, matched against the individuals/receivers in this dataframe, is returned (see also Value).

    - -

    Value

    - -

    The function returns a dataframe with the deployment overlap duration for specific or all combinations of individuals and receivers, with the `individual_id', `receiver_id', `tag_start_date', `tag_end_date', `receiver_start_date' and `receiver_end_date' columns retained, plus `tag_interval' and `receiver_interval' columns that define individual and receiver deployment periods as Interval-class objects. The `id_rec_overlap' column defines the temporal overlap (days). Alternatively, if match_to is supplied, a vector of overlap durations that matches each individual/receiver observation in that dataframe is returned.

    -

    Author

    +
    + 
    get_id_rec_overlap(
+  ids,
+  moorings,
+  individual_id = NULL,
+  receiver_id = NULL,
+  type = 1L,
+  match_to = NULL
+)
    +
    + +
    +

    Arguments

    +
    ids
    +

    A dataframe that defines individual deployment periods. This must contain a column that defines individual IDs (named `individual_id') and the time of tagging (named `tag_start_date') and time of tag retrieval (`tag_end_date') (see dat_ids for an example).

    + + +
    moorings
    +

    A dataframe that defines receiver deployment periods. This must contain a column that defines receiver IDs (named `receiver_id') and the time of receiver deployment (named `receiver_start_date') and retrieval (named `receiver_end_date') (see dat_moorings for an example).

    + + +
    individual_id
    +

    (optional) A vector of individuals for which to calculate overlap duration.

    + +
    receiver_id
    +

    (optional) A vector of receivers for which to calculate overlap duration.

    + + +
    type
    +

    If both individual_id and receiver_id are specified, then type is an integer that defines whether or not to calculate overlap duration for (a) each individual/receiver pair (type = 1L) or (b) all combinations of specified individuals/receivers (type = 2L).

    + + +
    match_to
    +

    (optional) A dataframe against which to match the calculated overlap duration(s). This must contain an `individual_id' and `receiver_id' column, as in ids and moorings respectively. If supplied, an integer vector of overlap durations for individual/receiver combinations, matched against the individuals/receivers in this dataframe, is returned (see also Value).

    + +
    +
    +

    Value

    + + +

    The function returns a dataframe with the deployment overlap duration for specific or all combinations of individuals and receivers, with the `individual_id', `receiver_id', `tag_start_date', `tag_end_date', `receiver_start_date' and `receiver_end_date' columns retained, plus `tag_interval' and `receiver_interval' columns that define individual and receiver deployment periods as Interval-class objects. The `id_rec_overlap' column defines the temporal overlap (days). Alternatively, if match_to is supplied, a vector of overlap durations that matches each individual/receiver observation in that dataframe is returned.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Prepare data to include required columns
-# moorings requires 'receiver_id', 'receiver_start_date' and 'receiver_end_date'
-# ids requires 'individual_id', 'tag_start_date' and 'tag_end_date'
-# These columns are already supplied in the example datasets
-# ... except tag_end_date:
-dat_ids$tag_end_date <- as.Date("2017-06-05")
-
-#### Example (1): Temporal overlap between all combinations
-# ... of individuals and receivers
-dat <- get_id_rec_overlap(dat_ids, dat_moorings)
-
-#### Example (2): Temporal overlap between all combinations of specified
-#... individuals/receivers
-dat <- get_id_rec_overlap(dat_ids,
-                          dat_moorings,
-                          individual_id = c(25, 26),
-                          receiver_id = c(3, 4),
-                          type = 2L)
-
-#### Example (3): Temporal overlap between specified individual/receiver pairs
-dat <- get_id_rec_overlap(dat_ids,
-                          dat_moorings,
-                          individual_id = c(25, 26),
-                          receiver_id = c(3, 4),
-                          type = 1L)
-
-#### Example (4): Match temporal overlap to another dataframe
-dat_acoustics$get_id_rec_overlap <-
-  get_id_rec_overlap(dat_ids,
-                     dat_moorings,
-                     match_to = dat_acoustics,
-                     type = 1L)
-
-
    +
    +

    Examples

    + 
    #### Prepare data to include required columns
+# moorings requires 'receiver_id', 'receiver_start_date' and 'receiver_end_date'
+# ids requires 'individual_id', 'tag_start_date' and 'tag_end_date'
+# These columns are already supplied in the example datasets
+# ... except tag_end_date:
+dat_ids$tag_end_date <- as.Date("2017-06-05")
+
+#### Example (1): Temporal overlap between all combinations
+# ... of individuals and receivers
+dat <- get_id_rec_overlap(dat_ids, dat_moorings)
+
+#### Example (2): Temporal overlap between all combinations of specified
+#... individuals/receivers
+dat <- get_id_rec_overlap(dat_ids,
+                          dat_moorings,
+                          individual_id = c(25, 26),
+                          receiver_id = c(3, 4),
+                          type = 2L)
+
+#### Example (3): Temporal overlap between specified individual/receiver pairs
+dat <- get_id_rec_overlap(dat_ids,
+                          dat_moorings,
+                          individual_id = c(25, 26),
+                          receiver_id = c(3, 4),
+                          type = 1L)
+
+#### Example (4): Match temporal overlap to another dataframe
+dat_acoustics$get_id_rec_overlap <-
+  get_id_rec_overlap(dat_ids,
+                     dat_moorings,
+                     match_to = dat_acoustics,
+                     type = 1L)
+
+
    +
    +
    - - - + + diff --git a/docs/reference/get_intersection-1.png b/docs/reference/get_intersection-1.png index bb32448..894d060 100644 Binary files a/docs/reference/get_intersection-1.png and b/docs/reference/get_intersection-1.png differ diff --git a/docs/reference/get_intersection-2.png b/docs/reference/get_intersection-2.png index 8afecd4..4c4c66f 100644 Binary files a/docs/reference/get_intersection-2.png and b/docs/reference/get_intersection-2.png differ diff --git a/docs/reference/get_intersection-3.png b/docs/reference/get_intersection-3.png index 8226922..3aa1d49 100644 Binary files a/docs/reference/get_intersection-3.png and b/docs/reference/get_intersection-3.png differ diff --git a/docs/reference/get_intersection-4.png b/docs/reference/get_intersection-4.png index 616366e..d39ed27 100644 Binary files a/docs/reference/get_intersection-4.png and b/docs/reference/get_intersection-4.png differ diff --git a/docs/reference/get_intersection.html b/docs/reference/get_intersection.html index ebc8ae1..eef3644 100644 --- a/docs/reference/get_intersection.html +++ b/docs/reference/get_intersection.html @@ -1,67 +1,12 @@ - - - - - - - -Spatial intersections with one or more geometries — get_intersection • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Spatial intersections with one or more geometries — get_intersection • flapper - - + + - - -
    -
    - -
    - -
    +

    Spatial intersections with one or more geometries

    - Source: R/spatial_tools.R + Source: R/spatial_tools.R
    -

    This function is a wrapper for gIntersection that extracts the intersection between inputted geometries. Unlike gIntersection, the function requires geometries to be specified as a list. The intersections between all (one or more) specified geometries, excluding NULL elements, are returned.

    +

    This function is a wrapper for gIntersection that extracts the intersection between inputted geometries. Unlike gIntersection, the function requires geometries to be specified as a list. The intersections between all (one or more) specified geometries, excluding NULL elements, are returned.

    - 
    get_intersection(x, ...)
    +
    + 
    get_intersection(x, ...)
    +
    -

    Arguments

    - - - - - - - - - - -
    x

    A list of Spatial* geometries supported by gIntersection. If x is a list with a single Spatial* element, that element is simply returned. If x is a list with two Spatial* elements, gIntersection is implemented directly to obtain the intersection. If x is a list with more than two Spatial* elements, gIntersection is implemented iteratively, effectively intersecting all geometries. NULL elements are ignored.

    ...

    Arguments passed to gIntersection.

    +
    +

    Arguments

    +
    x
    +

    A list of Spatial* geometries supported by gIntersection. If x is a list with a single Spatial* element, that element is simply returned. If x is a list with two Spatial* elements, gIntersection is implemented directly to obtain the intersection. If x is a list with more than two Spatial* elements, gIntersection is implemented iteratively, effectively intersecting all geometries. NULL elements are ignored.

    -

    Value

    -

    The function returns a Spatial* object of the intersection between all inputted geometries.

    -

    See also

    +
    ...
    +

    Arguments passed to gIntersection.

    -

    gIntersection

    -

    Author

    +
    +
    +

    Value

    + +

    The function returns a Spatial* object of the intersection between all inputted geometries.

    +
    +
    +

    See also

    +

    gIntersection

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    ## Define raster parameters (for sampling/plotting)
-set.seed(1)
-n        <- raster::ncell(dat_gebco)
-xy       <- raster::coordinates(dat_gebco)
-utm      <- raster::crs(dat_gebco)
-cols     <- c("black", "red", "orange", "green", lwd = 2)
-col_int  <- scales::alpha("dimgrey", 0.5)
-
-## Define example polygons
-n_poly <- 4
-polys <- lapply(1:n_poly, function(i){
-  xy_i     <- xy[sample(1:n, 1), , drop = FALSE]
-  xy_i     <- sp::SpatialPoints(xy_i, utm)
-  xy_i_buf <- rgeos::gBuffer(xy_i, width = 10000)
-  return(xy_i_buf)
-})
-
-#### Example (1): Define intersections between multiple (here, four) polygons
-# Plot area with polygons
-raster::plot(dat_gebco)
-
    lapply(1:length(polys), function(i) raster::lines(polys[[i]], col = cols[i]))
-
    #> [[1]]
-#> [[1]][[1]]
-#> [[1]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
-#> [[2]]
-#> [[2]][[1]]
-#> [[2]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
-#> [[3]]
-#> [[3]][[1]]
-#> [[3]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
-#> [[4]]
-#> [[4]][[1]]
-#> [[4]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
    # Get intersection and add
-int <- get_intersection(polys)
-raster::plot(int, add = TRUE, col = col_int)
-
    
-#### Example (2): Define intersections between fewer polygons
-raster::plot(dat_gebco)
-
    lapply(1:length(polys), function(i) raster::lines(polys[[i]], col = cols[i]))
-
    #> [[1]]
-#> [[1]][[1]]
-#> [[1]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
-#> [[2]]
-#> [[2]][[1]]
-#> [[2]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
-#> [[3]]
-#> [[3]][[1]]
-#> [[3]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
-#> [[4]]
-#> [[4]][[1]]
-#> [[4]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
    raster::plot(get_intersection(polys[1:3]), add = TRUE, col = col_int)
-
    raster::plot(get_intersection(list(polys[[1]], polys[[3]])), add = TRUE, col = col_int)
-
    
-#### Example (3): The function can handle a single element
-raster::plot(dat_gebco)
-
    lapply(1:length(polys), function(i) raster::lines(polys[[i]], col = cols[i]))
-
    #> [[1]]
-#> [[1]][[1]]
-#> [[1]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
-#> [[2]]
-#> [[2]][[1]]
-#> [[2]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
-#> [[3]]
-#> [[3]][[1]]
-#> [[3]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
-#> [[4]]
-#> [[4]][[1]]
-#> [[4]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
    raster::plot(get_intersection(polys[1]), add = TRUE, col = col_int)
-
    
-#### Example (4): The function can handle NULL elements
-raster::plot(dat_gebco)
-
    lapply(1:length(polys), function(i) raster::lines(polys[[i]], col = cols[i]))
-
    #> [[1]]
-#> [[1]][[1]]
-#> [[1]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
-#> [[2]]
-#> [[2]][[1]]
-#> [[2]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
-#> [[3]]
-#> [[3]][[1]]
-#> [[3]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
-#> [[4]]
-#> [[4]][[1]]
-#> [[4]][[1]][[1]]
-#> NULL
-#> 
-#> 
-#> 
    raster::plot(get_intersection(list(polys[[1]], NULL, NULL, polys[[4]])),
-             add = TRUE, col = col_int)
-
    
-
    +
    +

    Examples

    + 
    ## Define raster parameters (for sampling/plotting)
+set.seed(1)
+n        <- raster::ncell(dat_gebco)
+xy       <- raster::coordinates(dat_gebco)
+utm      <- raster::crs(dat_gebco)
+cols     <- c("black", "red", "orange", "green", lwd = 2)
+col_int  <- scales::alpha("dimgrey", 0.5)
+
+## Define example polygons
+n_poly <- 4
+polys <- lapply(1:n_poly, function(i){
+  xy_i     <- xy[sample(1:n, 1), , drop = FALSE]
+  xy_i     <- sp::SpatialPoints(xy_i, utm)
+  xy_i_buf <- rgeos::gBuffer(xy_i, width = 10000)
+  return(xy_i_buf)
+})
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+#### Example (1): Define intersections between multiple (here, four) polygons
+# Plot area with polygons
+raster::plot(dat_gebco)
+lapply(1:length(polys), function(i) raster::lines(polys[[i]], col = cols[i]))
+#> [[1]]
+#> [[1]][[1]]
+#> [[1]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+#> [[2]]
+#> [[2]][[1]]
+#> [[2]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+#> [[3]]
+#> [[3]][[1]]
+#> [[3]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+#> [[4]]
+#> [[4]][[1]]
+#> [[4]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+# Get intersection and add
+int <- get_intersection(polys)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+raster::plot(int, add = TRUE, col = col_int)
+
+
+#### Example (2): Define intersections between fewer polygons
+raster::plot(dat_gebco)
+lapply(1:length(polys), function(i) raster::lines(polys[[i]], col = cols[i]))
+#> [[1]]
+#> [[1]][[1]]
+#> [[1]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+#> [[2]]
+#> [[2]][[1]]
+#> [[2]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+#> [[3]]
+#> [[3]][[1]]
+#> [[3]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+#> [[4]]
+#> [[4]][[1]]
+#> [[4]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+raster::plot(get_intersection(polys[1:3]), add = TRUE, col = col_int)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: GEOS support is provided by the sf and terra packages among others
+raster::plot(get_intersection(list(polys[[1]], polys[[3]])), add = TRUE, col = col_int)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+
+#### Example (3): The function can handle a single element
+raster::plot(dat_gebco)
+lapply(1:length(polys), function(i) raster::lines(polys[[i]], col = cols[i]))
+#> [[1]]
+#> [[1]][[1]]
+#> [[1]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+#> [[2]]
+#> [[2]][[1]]
+#> [[2]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+#> [[3]]
+#> [[3]][[1]]
+#> [[3]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+#> [[4]]
+#> [[4]][[1]]
+#> [[4]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+raster::plot(get_intersection(polys[1]), add = TRUE, col = col_int)
+
+
+#### Example (4): The function can handle NULL elements
+raster::plot(dat_gebco)
+lapply(1:length(polys), function(i) raster::lines(polys[[i]], col = cols[i]))
+#> [[1]]
+#> [[1]][[1]]
+#> [[1]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+#> [[2]]
+#> [[2]][[1]]
+#> [[2]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+#> [[3]]
+#> [[3]][[1]]
+#> [[3]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+#> [[4]]
+#> [[4]][[1]]
+#> [[4]][[1]][[1]]
+#> NULL
+#> 
+#> 
+#> 
+raster::plot(get_intersection(list(polys[[1]], NULL, NULL, polys[[4]])),
+             add = TRUE, col = col_int)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/get_mvt_mobility-1.png b/docs/reference/get_mvt_mobility-1.png index fe4cd4e..8f6c034 100644 Binary files a/docs/reference/get_mvt_mobility-1.png and b/docs/reference/get_mvt_mobility-1.png differ diff --git a/docs/reference/get_mvt_mobility.html b/docs/reference/get_mvt_mobility.html index 940c0d1..4bf2764 100644 --- a/docs/reference/get_mvt_mobility.html +++ b/docs/reference/get_mvt_mobility.html @@ -1,67 +1,12 @@ - - - - - - - -Estimate individual swimming speeds from acoustic and archival data — get_mvt_mobility • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Estimate individual swimming speeds from acoustic and archival data — get_mvt_mobility • flapper - - - - + + -
    -
    - -
    - -
    +

    Estimate individual swimming speeds from acoustic and archival data

    - Source: R/get_movement.R + Source: R/get_movement.R
    @@ -123,183 +65,198 @@

    Estimate individual swimming speeds from acoustic and archival data

    These functions are designed to provide `ballpark' estimates of individual swimming speeds from (a) acoustic detections at passive acoustic telemetry receivers (get_mvt_mobility_from_acoustics) and archival (depth) time series (get_mvt_mobility_from_archival).

    - 
    get_mvt_mobility_from_acoustics(
-  data,
-  fct = NULL,
-  moorings,
-  detection_range,
-  calc_distance = c("euclid", "lcp"),
-  bathy = NULL,
-  transmission_interval,
-  step = NULL
-)
-
-get_mvt_mobility_from_archival(data, fct = NULL)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    data

    A dataframe of animal movement time series used to estimate swimming speeds. For get_mvt_mobility_from_acoustics, data should contain passive acoustic telemetry detection time series (see dat_acoustics for an example). This must contain a vector of receiver IDs, named `receiver_id', and a POSIXct vector of time stamps when detections were made, named `timestamp'. For get_mvt_mobility_from_archival, data is a dataframe that contains depth time series (see dat_archival for an example). This must contain a numeric vector of observed depths (m), named `depth', and a POSIXct vector of regular time stamps when observations were made, named `timestamp'. In either case, an additional column can be included to distinguish time series for different individuals (see fct).

    fct

    (optional) A character variable that defines the name of a column in data that distinguishes levels of a grouping variable (e.g., individuals).

    moorings

    In get_mvt_mobility_from_acoustics, moorings is SpatialPointsDataFrame that defines receiver locations (in the Universe Transverse Mercator coordinate reference system) and receiver IDs (in a column named `receiver_id').

    detection_range

    In get_mvt_mobility_from_acoustics, detection_range is a number that defines the detection range (m) of receivers.

    calc_distance

    In get_mvt_mobility_from_acoustics, calc_distance is a character that defines the method used to calculate distances between receivers. Currently supported options are Euclidean distances ("euclid") or least-cost (shortest) path distances ("lcp") over a surface (see bathy).

    bathy

    In get_mvt_mobility_from_acoustics, if calc_distance = "lcp", bathy is raster that defines the surface over which individual(s) moved. bathy must be planar (i.e., Universal Transverse Mercator projection) with units of metres in x, y and z directions (m). The surface's resolution is taken to define the distance between horizontally and vertically connected cells and must be the same in both x and y directions. Any cells with NA values (e.g., due to missing data) are treated as `impossible' to move though by the algorithm (see lcp_over_surface).

    transmission_interval

    (optional) In get_mvt_mobility_from_acoustics, transmission_interval is the (maximum) time delay between sequential acoustic transmissions.

    step

    (optional) In get_mvt_mobility_from_acoustics, step is a number that defines the time (s) interval over which to represent speeds. By default, speeds are calculated in m/s. If step is supplied, speeds are also calculated in m/step s, which can be easier to interpret. For get_mvt_mobility_from_archival, `step' is set automatically as the duration (s) between sequential depth observations, which is assumed to remain constant through time.

    - -

    Value

    - -

    Both functions print a statistical summary of the speed estimates to the console and return a dataframe with observations and the corresponding speed estimates invisibly.

    -

    For get_mvt_mobility_from_acoustics, for each speed estimate, the minimum, mean and maximum speeds are printed, in units of m/s and, if specified, m/step. The returned dataframe defines all transitions between receivers and includes the following columns:

      -

    • fct is the grouping factor (if specified);

      • +
      + 
      get_mvt_mobility_from_acoustics(
+  data,
+  fct = NULL,
+  moorings,
+  detection_range,
+  calc_distance = c("euclid", "lcp"),
+  bathy = NULL,
+  transmission_interval,
+  step = NULL
+)
+
+get_mvt_mobility_from_archival(data, fct = NULL, step_check = TRUE)
      +
      + +
      +

      Arguments

      +
      data
      +

      A dataframe of animal movement time series used to estimate swimming speeds. For get_mvt_mobility_from_acoustics, data should contain passive acoustic telemetry detection time series (see dat_acoustics for an example). This must contain a vector of receiver IDs, named `receiver_id', and a POSIXct vector of time stamps when detections were made, named `timestamp'. For get_mvt_mobility_from_archival, data is a dataframe that contains depth time series (see dat_archival for an example). This must contain a numeric vector of observed depths (m), named `depth', and a POSIXct (or Date) vector of regular time stamps when observations were made, named `timestamp'. In either case, an additional column can be included to distinguish time series for different individuals (see fct).

      + + +
      fct
      +

      (optional) A character variable that defines the name of a column in data that distinguishes levels of a grouping variable (e.g., individuals).

      + + +
      moorings
      +

      In get_mvt_mobility_from_acoustics, moorings is SpatialPointsDataFrame that defines receiver locations (in the Universe Transverse Mercator coordinate reference system) and receiver IDs (in a column named `receiver_id').

      + + +
      detection_range
      +

      In get_mvt_mobility_from_acoustics, detection_range is a number that defines the detection range (m) of receivers.

      + + +
      calc_distance
      +

      In get_mvt_mobility_from_acoustics, calc_distance is a character that defines the method used to calculate distances between receivers. Currently supported options are Euclidean distances ("euclid") or least-cost (shortest) path distances ("lcp") over a surface (see bathy).

      + + +
      bathy
      +

      In get_mvt_mobility_from_acoustics, if calc_distance = "lcp", bathy is raster that defines the surface over which individual(s) moved. bathy must be planar (i.e., Universal Transverse Mercator projection) with units of metres in x, y and z directions (m). The surface's resolution is taken to define the distance between horizontally and vertically connected cells and must be the same in both x and y directions. Any cells with NA values (e.g., due to missing data) are treated as `impossible' to move though by the algorithm (see lcp_over_surface).

      + + +
      transmission_interval
      +

      (optional) In get_mvt_mobility_from_acoustics, transmission_interval is the (maximum) time delay between sequential acoustic transmissions.

      + + +
      step
      +

      (optional) In get_mvt_mobility_from_acoustics, step is a number that defines the time (s) interval over which to represent speeds. By default, speeds are calculated in m/s. If step is supplied, speeds are also calculated in m/step s, which can be easier to interpret. For get_mvt_mobility_from_archival, `step' is set automatically as the duration (s) between sequential depth observations, which is assumed to remain constant through time.

      + + +
      step_check
      +

      For get_mvt_mobility_from_archival, step_check is a logical variable that defines whether or not to check that the steps in data are regular (see step).

      + +
      +
      +

      Value

      + + +

      Both functions print a statistical summary of the speed estimates to the console and return a dataframe with observations and the corresponding speed estimates invisibly.

      + + +

      For get_mvt_mobility_from_acoustics, for each speed estimate, the minimum, mean and maximum speeds are printed, in units of m/s and, if specified, m/step. The returned dataframe defines all transitions between receivers and includes the following columns:

      • fct is the grouping factor (if specified);

      • receiver_id_1 and receiver_id_2 are the receiver IDs for each transition between receivers;

      • timestamp_1 and timestamp_2 are the time stamps of detections for each transition between receivers;

      • time is the duration (s) between timestamp_1 and timestamp_2;

      • dist_min, dist_avg and dist_max are the estimates for the distance (m) travelled to transition between receivers;

      • speed_min_ms, speed_avg_ms and speed_min_ms are the corresponding speed (m/s) estimates;

      • speed_min_mstep, speed_avg_mstep and speed_max_mstep are the corresponding speed estimates, in m per step (if specified);

        • -
      - -

      For get_mvt_mobility_from_archival, the function prints a statistical summary of estimated speeds in m/s and m per `step', where `step' is the duration (s) between sequential depth observations. The function also invisibly returns dataframe of the estimates. This is as inputted, without any fct levels with fewer than two observations and with the following additional columns:

        -

      • dist is the distance (m) between sequential depth observations;

        • +

      For get_mvt_mobility_from_archival, the function prints a statistical summary of estimated speeds in m/s and m per `step', where `step' is the duration (s) between sequential depth observations. The function also invisibly returns dataframe of the estimates. This is as inputted, without any fct levels with fewer than two observations and with the following additional columns:

      • dist is the distance (m) between sequential depth observations;

      • speed_ms is the speed (m/s) of vertical movement between sequential depth observations;

        • -

      • speed_m_per_step is the speed of vertical movement between sequential depth observations in units of m per step, where `step' is the duration (s) between sequential depth observations;

        • -
      - -

      Details

      - +

    • speed_mstep is the speed of vertical movement between sequential depth observations in units of m per step, where `step' is the duration (s) between sequential depth observations (this is identical to dist and only added for consistency with get_mvt_mobility_from_acoustics);

      • +
    +
    +

    Details

    -

    Acoustic estimates

    -

    Speed estimates from passive acoustic telemetry time series are derived from examination of detection patterns via get_mvt_mobility_from_acoustics. For each fct group (e.g., individual), the function identifies sequential detections, which exceeded the maximum transmission interval, at receivers with non-overlapping detection containers (areas within the detection range of each receiver). Assuming that all detections are true, these can only result from movement between receivers. For these movements, transition distances are calculated as Euclidean distances, via pointDistance, or shortest swimming distances, assuming movement over a surface, via lcp_over_surface. Given that detections can arise from movement anywhere within the detection range of a receiver, three distances are calculated: an average distance, from receiver to receiver; a lower-bound distance, between the closest edges of receiver detection containers (i.e., the average distance minus two times the detection range); and an upper-bound distance from the furthest edges of receiver detection ranges (i.e., the average distance plus two times the detection range). These estimates assume a uniform detection ranges over space. For each transition, distances are converted into an average, lower and upper speed (m/s) estimate (termed `speed_avg_ms`, `speed_min_ms` and `speed_max_ms` respectively). If step is supplied, speeds are also expressed per step. On many occasions, individuals will take indirect routes between receivers, resulting in inappropriately low speed estimates. However, if receivers are sufficiently close together such that individuals sometimes effectively transition directly between receivers, the faster speed estimates derived via this method may be quite informative about actual swimming speeds.

    - -

    Archival estimates

    -

    Speed estimates from archival time series are derived from examination of changes in depth through time (vertical activity) via get_mvt_mobility_from_archival. For each individual, speed is calculated from the vertical distances (m) between sequential, regular depth (m) observations over time (s). Speeds are also expressed per step, where `step' is the duration (s) between sequential observations.

    +
    +

    Acoustic estimates

    +

    Speed estimates from passive acoustic telemetry time series are derived from examination of detection patterns via get_mvt_mobility_from_acoustics. For each fct group (e.g., individual), the function identifies sequential detections, which exceeded the maximum transmission interval, at receivers with non-overlapping detection containers (areas within the detection range of each receiver). Assuming that all detections are true, these can only result from movement between receivers. For these movements, transition distances are calculated as Euclidean distances, via pointDistance, or shortest swimming distances, assuming movement over a surface, via lcp_over_surface. Given that detections can arise from movement anywhere within the detection range of a receiver, three distances are calculated: an average distance, from receiver to receiver; a lower-bound distance, between the closest edges of receiver detection containers (i.e., the average distance minus two times the detection range); and an upper-bound distance from the furthest edges of receiver detection ranges (i.e., the average distance plus two times the detection range). These estimates assume a uniform detection ranges over space. For each transition, distances are converted into an average, lower and upper speed (m/s) estimate (termed `speed_avg_ms`, `speed_min_ms` and `speed_max_ms` respectively). If step is supplied, speeds are also expressed per step. On many occasions, individuals will take indirect routes between receivers, resulting in inappropriately low speed estimates. However, if receivers are sufficiently close together such that individuals sometimes effectively transition directly between receivers, the faster speed estimates derived via this method may be quite informative about actual swimming speeds.

    +
    -

    Author

    +
    +

    Archival estimates

    +

    Speed estimates from archival time series are derived from examination of changes in depth through time (vertical activity) via get_mvt_mobility_from_archival. For each individual, speed is calculated from the vertical distances (m) between sequential, regular depth (m) observations over time (s). Speeds are also expressed per step, where `step' is the duration (s) between sequential observations. The assumption of regular steps may be relaxed in the future.

    +
    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Estimate mobility from acoustic data using Euclidean distances
-## (A) Define receiver coordinates as SPDF in UTM CRS
-proj     <- sp::CRS(SRS_string = "EPSG:4326")
-proj_utm <- sp::CRS(SRS_string = "EPSG:32629")
-moorings <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")], proj)
-moorings <- sp::spTransform(moorings, proj_utm)
-moorings <- sp::SpatialPointsDataFrame(moorings, data.frame(receiver_id = dat_moorings$receiver_id))
-## (B) Implement algorithm using Euclidean distances
-mob_1 <- get_mvt_mobility_from_acoustics(data = dat_acoustics,
-                                         fct = "individual_id",
-                                         moorings = moorings,
-                                         detection_range = 750,
-                                         transmission_interval = 120,
-                                         step = 120)
-
    #> Mobility estimates from n = 315 observation(s).
    #> --------------------------------------
-#> Estimates (m/s)-----------------------
-#>       variable min mean  max
-#> 1 speed_min_ms   0 0.07 0.84
-#> 2 speed_avg_ms   0 0.14 1.06
-#> 3 speed_max_ms   0 0.21 1.50
-#> --------------------------------------
-#> Estimates (m/step)--------------------
-#>          variable  min  mean    max
-#> 1 speed_min_mstep 0.01  8.55 101.26
-#> 2 speed_avg_mstep 0.07 17.15 127.58
-#> 3 speed_max_mstep 0.11 25.76 180.39
-#> --------------------------------------
    
-#### Estimate mobility from acoustic data using LCP distances
-## (A) Define receiver coordinates
-# ... (as above)
-## (B) Define bathymetry surface for LCP calculations
-# Requirements: mask land; planar UTM projection; equal resolution;
-bathy <- raster::raster(ext = raster::extent(dat_gebco), resolution = 50)
-bathy <- raster::resample(dat_gebco, bathy, method = "bilinear")
-## (C) Implement algorithm using LCP distances
-mob_2 <- get_mvt_mobility_from_acoustics(data = dat_acoustics,
-                                         fct = "individual_id",
-                                         moorings = moorings,
-                                         detection_range = 750,
-                                         calc_distance = "lcp",
-                                         bathy = bathy,
-                                         transmission_interval = 120,
-                                         step = 120)
-
    #> Warning: transition function gives negative values
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Mobility estimates from n = 317 observation(s).
    #> --------------------------------------
-#> Estimates (m/s)-----------------------
-#>       variable min mean  max
-#> 1 speed_min_ms   0 0.08 0.85
-#> 2 speed_avg_ms   0 0.15 1.07
-#> 3 speed_max_ms   0 0.22 1.55
-#> --------------------------------------
-#> Estimates (m/step)--------------------
-#>          variable  min  mean    max
-#> 1 speed_min_mstep 0.02  9.30 101.86
-#> 2 speed_avg_mstep 0.07 17.86 128.18
-#> 3 speed_max_mstep 0.12 26.42 186.15
-#> --------------------------------------
    
-#### Estimate mobility from archival data
-# Note the use of 'individual_id' for 'fct' here is only appropriate
-# ... when there are no breaks in the time series.
-mob_3 <- get_mvt_mobility_from_archival(dat_archival, fct = "individual_id")
-
    #> Mobility estimates from n = 74997 observation(s).
    #> --------------------------------------
-#> Estimates (m/s)-----------------------
-#>   variable min mean  max
-#> 1    speed   0 0.01 0.36
-#> Estimates (m/step)--------------------
-#>   variable min mean   max
-#> 1    speed   0 1.09 42.92
-#> --------------------------------------
    
-
    +
    +

    Examples

    + 
    #### Estimate mobility from acoustic data using Euclidean distances
+## (A) Define receiver coordinates as SPDF in UTM CRS
+proj     <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm <- sp::CRS(SRS_string = "EPSG:32629")
+moorings <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")], proj)
+moorings <- sp::spTransform(moorings, proj_utm)
+moorings <- sp::SpatialPointsDataFrame(moorings, data.frame(receiver_id = dat_moorings$receiver_id))
+## (B) Implement algorithm using Euclidean distances
+mob_1 <- get_mvt_mobility_from_acoustics(data = dat_acoustics,
+                                         fct = "individual_id",
+                                         moorings = moorings,
+                                         detection_range = 750,
+                                         transmission_interval = 120,
+                                         step = 120)
+#> Mobility estimates from n = 315 observation(s).
+#> --------------------------------------
+#> Estimates (m/s)-----------------------
+#>       variable min mean  max
+#> 1 speed_min_ms   0 0.07 0.84
+#> 2 speed_avg_ms   0 0.14 1.06
+#> 3 speed_max_ms   0 0.21 1.50
+#> --------------------------------------
+#> Estimates (m/step)--------------------
+#>          variable  min  mean    max
+#> 1 speed_min_mstep 0.01  8.55 101.26
+#> 2 speed_avg_mstep 0.07 17.15 127.58
+#> 3 speed_max_mstep 0.11 25.76 180.39
+#> --------------------------------------
+
+#### Estimate mobility from acoustic data using LCP distances
+## (A) Define receiver coordinates
+# ... (as above)
+## (B) Define bathymetry surface for LCP calculations
+# Requirements: mask land; planar UTM projection; equal resolution;
+bathy <- raster::raster(ext = raster::extent(dat_gebco), resolution = 50)
+bathy <- raster::resample(dat_gebco, bathy, method = "bilinear")
+## (C) Implement algorithm using LCP distances
+mob_2 <- get_mvt_mobility_from_acoustics(data = dat_acoustics,
+                                         fct = "individual_id",
+                                         moorings = moorings,
+                                         detection_range = 750,
+                                         calc_distance = "lcp",
+                                         bathy = bathy,
+                                         transmission_interval = 120,
+                                         step = 120)
+#> Warning: transition function gives negative values
+#> Mobility estimates from n = 317 observation(s).
+
+#> --------------------------------------
+#> Estimates (m/s)-----------------------
+#>       variable min mean  max
+#> 1 speed_min_ms   0 0.08 0.85
+#> 2 speed_avg_ms   0 0.15 1.07
+#> 3 speed_max_ms   0 0.22 1.55
+#> --------------------------------------
+#> Estimates (m/step)--------------------
+#>          variable  min  mean    max
+#> 1 speed_min_mstep 0.02  9.30 101.86
+#> 2 speed_avg_mstep 0.07 17.86 128.18
+#> 3 speed_max_mstep 0.12 26.42 186.15
+#> --------------------------------------
+
+#### Estimate mobility from archival data
+# Note the use of 'individual_id' for 'fct' here is only appropriate
+# ... when there are no breaks in the time series.
+mob_3 <- get_mvt_mobility_from_archival(dat_archival, fct = "individual_id")
+#> [1] 120
+#> Mobility estimates from n = 74997 observation(s).
+#> --------------------------------------
+#> Estimates (m/s)-----------------------
+#>   variable min mean  max
+#> 1    speed   0 0.01 0.36
+#> Estimates (m/step)--------------------
+#>   variable min mean   max
+#> 1    speed   0 1.09 42.92
+#> --------------------------------------
+
+
    +
    +
    - - - + + diff --git a/docs/reference/get_mvt_resting-1.png b/docs/reference/get_mvt_resting-1.png index 9af433a..f5cf2de 100644 Binary files a/docs/reference/get_mvt_resting-1.png and b/docs/reference/get_mvt_resting-1.png differ diff --git a/docs/reference/get_mvt_resting-2.png b/docs/reference/get_mvt_resting-2.png index 102320d..021661a 100644 Binary files a/docs/reference/get_mvt_resting-2.png and b/docs/reference/get_mvt_resting-2.png differ diff --git a/docs/reference/get_mvt_resting.html b/docs/reference/get_mvt_resting.html index d9a39ba..7354688 100644 --- a/docs/reference/get_mvt_resting.html +++ b/docs/reference/get_mvt_resting.html @@ -1,67 +1,12 @@ - - - - - - - -Identify resting behaviour within depth time series — get_mvt_resting • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Identify resting behaviour within depth time series — get_mvt_resting • flapper - - + + - - -
    -
    - -
    - -
    +

    Identify resting behaviour within depth time series

    - Source: R/get_movement.R + Source: R/get_movement.R
    @@ -123,164 +65,172 @@

    Identify resting behaviour within depth time series

    This function implements a simple threshold-based approach to identify periods of resting behaviour within depth time series collected from benthic animals. In these data, resting is usually inferred from low vertical activity and sinusoidal tidal traces that reflect the rise-and-fall of the tides on an individual's depth when it is stationary on the seabed. To implement the approach, a dataframe comprising depth time series (archival) is required. The algorithm identifies any time steps in which the change in depth is less than a specified value (th_depth) as potentially exhibiting resting behaviour. Candidate states (resting = 0, not resting = 1) assigned from this depth threshold can be smoothed by supplying a function (weights) that is applied to states over a time window (th_time). For example (weights = mean) calculates the mean state for each observation from all observations within th_time. Average state scores can be discretised into `resting' (0) or `not resting' (1) states by specifying the maximum score of an observation for it to be defined as `resting' via discrete. For example, if weights = mean and discrete = 0, then an observation is only defined as `resting' if all of the observations in the surrounding window (controlled by th_time) are also equal to zero. Higher scores dampen the effects of occasional movements that exceed the depth threshold. The function returns a numeric vector of average or discrete states, with one element for each observation in archival.

    - 
    get_mvt_resting(
-  archival,
-  fct = NULL,
-  th_depth = 0.25,
-  th_time = NULL,
-  weights = mean,
-  align = "center",
-  ...,
-  discrete = 0
-)
    +
    + 
    get_mvt_resting(
+  archival,
+  fct = NULL,
+  th_depth = 0.25,
+  th_time = NULL,
+  weights = mean,
+  align = "center",
+  ...,
+  discrete = 0
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    archival

    A dataframe that defines depth time series. This should contain a numeric column of depth observations named `depth'.

    fct

    (optional) A character that defines the name of a column in archival that distinguishes independent time series.

    th_depth

    A double that defines the depth threshold. Candidate resting behaviour is identified when the absolute change in depth is \(\leq\) th_depth.

    th_time

    (optional) An integer that defines the number of time steps (i.e., rows in archival) around each depth observation that should influence state assignment, via the weights function and related arguments (align, ... and discrete).

    weights

    (optional) If th_time is provided, weights is a function applied to the candidate binary states assigned from the depth threshold (th_depth) within each time interval (th_time). The default is mean, which applies a rolling mean to the states within each window.

    align, ...

    (optional) Additional arguments, passed to frollapply, that control the implementation of weights to each window (th_time). By default, align = "centre", which applies weights to the th_time/2 observation(s) centred around each observation. (The states for observations that are too close to the start or end of the time series for averaging are retained as initially assigned by th_depth but not averaged.)

    discrete

    (optional) If th_time is provided, discrete is double between 0 and 1 that defines the maximum score of an observation for it to be defined as `resting'. With the default weights = mean function, this is equivalent to the maximum proportion of `not active' observations in the window around each depth observation (th_time) for an observation to be defined as `resting'. For instance, discrete = 0 means that a `resting' is only defined if all of the observations around in the window around each observation are less than or equal to the depth threshold (th_depth), while discrete = 0.05 means `resting' is defined if \(\leq\) 5 percent of observations in the time window are below the depth threshold.

    +
    +

    Arguments

    +
    archival
    +

    A dataframe that defines depth time series. This should contain a numeric column of depth observations named `depth'.

    -

    Value

    -

    The function returns a numeric vector, of the same length as archival$depth, that defines, for each depth observation, either (a) a discrete behavioural state, if th_time = NULL or discrete is supplied (i.e., resting = 0, not resting = 1) or (b) an averaged behavioural score (0 - 1) over th_time.

    -

    Details

    +
    fct
    +

    (optional) A character that defines the name of a column in archival that distinguishes independent time series.

    -

    This approach was motivated by the need to identify efficiently `resting' periods in depth time series data, sampled at a resolution of two-minutes, collected from flapper skate (Dipturus intermedius). While there are other approaches for the identification of resting behaviour, such as Hidden Markov models, for the flapper skate depth time series these are much more computationally demanding and appear to be much less effective at correctly assigning states.

    -

    Author

    -

    James Thorburn conceptualised and developed this method. Edward Lavender extended the initial approach and wrote the implementation for the flapper package.

    +
    th_depth
    +

    A double that defines the depth threshold. Candidate resting behaviour is identified when the absolute change in depth is \(\leq\) th_depth.

    -

    Examples

    - 
    #### Example (1): Assign 'resting' based on a simple depth threshold
-dat_archival$state_1 <- get_mvt_resting(archival = dat_archival,
-                                        fct = "individual_id",
-                                        th_depth = 0.25)
 
-#### Example (2): Assign 'resting' based on depth and time thresholds
-# ... Under the default settings, all of observations in the time threshold
-# ... must be below the depth threshold to qualify as 'resting'
-dat_archival$state_2 <- get_mvt_resting(archival = dat_archival,
-                                        fct = "individual_id",
-                                        th_depth = 0.25,
-                                        th_time = 30)
+
    th_time
    
+
    (optional) An integer that defines the number of time steps (i.e., rows in archival) around each depth observation that should influence state assignment, via the weights function and related arguments (align, ... and discrete).
    
 
-#### Example (3): Dampen the effects of occasionally exceeding the depth threshold
-# ... by increasing the proportion of observations that are allowed to
-# ... exceed the depth threshold in a each time window
-dat_archival$state_3 <- get_mvt_resting(archival = dat_archival,
-                                        fct = "individual_id",
-                                        th_depth = 0.25,
-                                        th_time = 30,
-                                        discrete = 0.05)
 
-#### Example (4): Return average state scores via discrete = NULL
-dat_archival$state_4 <- get_mvt_resting(archival = dat_archival,
-                                        fct = "individual_id",
-                                        th_depth = 0.25,
-                                        th_time = 30,
-                                        discrete = NULL)
+
    weights
    
+
    (optional) If th_time is provided, weights is a function applied to the candidate binary states assigned from the depth threshold (th_depth) within each time interval (th_time). The default is mean, which applies a rolling mean to the states within each window.
    
 
-#### Compare the frequency distribution of states among methods
-# In the first example, a large number of 'resting' states are assigned
-# In the second example, there are far fewer 'resting' states because all of the
-# ... observations in the specified time window around each depth observation need
-# ... to meet the depth threshold for the observation to be defined as 'resting',
-# ... not just the observation itself.
-# In the third example, there are sightly more 'resting' states because the
-# ... criterion for all observations to meet the depth threshold has been weakened.
-# In the final example, average scores have been returned.
-pp <- graphics::par(mfrow = c(2, 2))
-prettyGraphics::pretty_hist(dat_archival$state_1, main = "method_1")
-prettyGraphics::pretty_hist(dat_archival$state_2, main = "method_2")
-prettyGraphics::pretty_hist(dat_archival$state_3, main = "method_3")
-prettyGraphics::pretty_hist(dat_archival$state_4, main = "method_4")
-
    graphics::par(pp)
 
-#### Compare the time series for an example individual for each method
-## Filter results for specific individual
-dat_archival_1 <- dat_archival[dat_archival$individual_id == 25, ]
-## Define helper functions
-# Define helper function to plot blank depth time series
-plot_blank <- function(...){
-  prettyGraphics::pretty_plot(dat_archival_1$timestamp, dat_archival_1$depth*-1,
-                              pretty_axis_args = list(side = 3:2),
-                              type = "n",...)
-}
-# Define helper function to add depth time series, coloured by state, to the plot
-add_lines_for_state <- function(state,...){
-  prettyGraphics::add_lines(x = dat_archival_1$timestamp,
-                            y1 = dat_archival_1$depth*-1,
-                            y2 = dat_archival_1[, state],...)
-}
-## Make plots
-pp <- graphics::par(mfrow = c(2, 2))
-# state 1
-plot_blank(main = "method_1")
-add_lines_for_state("state_1")
-
    #> 1 observation pair(s) in x are NA; these are removed.
    # state 2
-plot_blank(main = "method_2")
-add_lines_for_state("state_2")
-
    #> 1 observation pair(s) in x are NA; these are removed.
    # state 3
-plot_blank(main = "method_3")
-add_lines_for_state("state_3")
-
    #> 1 observation pair(s) in x are NA; these are removed.
    # state 4
-plot_blank(main = "method_4")
-
    add_lines_for_state("state_4")
-
    #> 1 observation pair(s) in x are NA; these are removed.
    graphics::par(pp)
+
    align, ...
    
+
    (optional) Additional arguments, passed to frollapply, that control the implementation of weights to each window (th_time). By default, align = "centre", which applies weights to the th_time/2 observation(s) centred around each observation. (The states for observations that are too close to the start or end of the time series for averaging are retained as initially assigned by th_depth but not averaged.)
    
 
-
    + +
    discrete
    +

    (optional) If th_time is provided, discrete is double between 0 and 1 that defines the maximum score of an observation for it to be defined as `resting'. With the default weights = mean function, this is equivalent to the maximum proportion of `not active' observations in the window around each depth observation (th_time) for an observation to be defined as `resting'. For instance, discrete = 0 means that a `resting' is only defined if all of the observations around in the window around each observation are less than or equal to the depth threshold (th_depth), while discrete = 0.05 means `resting' is defined if \(\leq\) 5 percent of observations in the time window are below the depth threshold.

    + +
    +
    +

    Value

    + + +

    The function returns a numeric vector, of the same length as archival$depth, that defines, for each depth observation, either (a) a discrete behavioural state, if th_time = NULL or discrete is supplied (i.e., resting = 0, not resting = 1) or (b) an averaged behavioural score (0 - 1) over th_time.

    +
    +
    +

    Details

    +

    This approach was motivated by the need to identify efficiently `resting' periods in depth time series data, sampled at a resolution of two-minutes, collected from flapper skate (Dipturus intermedius). While there are other approaches for the identification of resting behaviour, such as Hidden Markov models, for the flapper skate depth time series these are much more computationally demanding and appear to be much less effective at correctly assigning states.

    +
    +
    +

    Author

    +

    James Thorburn conceptualised and developed this method. Edward Lavender extended the initial approach and wrote the implementation for the flapper package.

    +
    + +
    +

    Examples

    + 
    #### Example (1): Assign 'resting' based on a simple depth threshold
+dat_archival$state_1 <- get_mvt_resting(archival = dat_archival,
+                                        fct = "individual_id",
+                                        th_depth = 0.25)
+
+#### Example (2): Assign 'resting' based on depth and time thresholds
+# ... Under the default settings, all of observations in the time threshold
+# ... must be below the depth threshold to qualify as 'resting'
+dat_archival$state_2 <- get_mvt_resting(archival = dat_archival,
+                                        fct = "individual_id",
+                                        th_depth = 0.25,
+                                        th_time = 30)
+
+#### Example (3): Dampen the effects of occasionally exceeding the depth threshold
+# ... by increasing the proportion of observations that are allowed to
+# ... exceed the depth threshold in a each time window
+dat_archival$state_3 <- get_mvt_resting(archival = dat_archival,
+                                        fct = "individual_id",
+                                        th_depth = 0.25,
+                                        th_time = 30,
+                                        discrete = 0.05)
+
+#### Example (4): Return average state scores via discrete = NULL
+dat_archival$state_4 <- get_mvt_resting(archival = dat_archival,
+                                        fct = "individual_id",
+                                        th_depth = 0.25,
+                                        th_time = 30,
+                                        discrete = NULL)
+
+#### Compare the frequency distribution of states among methods
+# In the first example, a large number of 'resting' states are assigned
+# In the second example, there are far fewer 'resting' states because all of the
+# ... observations in the specified time window around each depth observation need
+# ... to meet the depth threshold for the observation to be defined as 'resting',
+# ... not just the observation itself.
+# In the third example, there are sightly more 'resting' states because the
+# ... criterion for all observations to meet the depth threshold has been weakened.
+# In the final example, average scores have been returned.
+pp <- graphics::par(mfrow = c(2, 2))
+prettyGraphics::pretty_hist(dat_archival$state_1, main = "method_1")
+prettyGraphics::pretty_hist(dat_archival$state_2, main = "method_2")
+prettyGraphics::pretty_hist(dat_archival$state_3, main = "method_3")
+prettyGraphics::pretty_hist(dat_archival$state_4, main = "method_4")
+
+graphics::par(pp)
+
+#### Compare the time series for an example individual for each method
+## Filter results for specific individual
+dat_archival_1 <- dat_archival[dat_archival$individual_id == 25, ]
+## Define helper functions
+# Define helper function to plot blank depth time series
+plot_blank <- function(...){
+  prettyGraphics::pretty_plot(dat_archival_1$timestamp, dat_archival_1$depth*-1,
+                              pretty_axis_args = list(side = 3:2),
+                              type = "n",...)
+}
+# Define helper function to add depth time series, coloured by state, to the plot
+add_lines_for_state <- function(state,...){
+  prettyGraphics::add_lines(x = dat_archival_1$timestamp,
+                            y1 = dat_archival_1$depth*-1,
+                            y2 = dat_archival_1[, state],...)
+}
+## Make plots
+pp <- graphics::par(mfrow = c(2, 2))
+# state 1
+plot_blank(main = "method_1")
+add_lines_for_state("state_1")
+#> 1 observation pair(s) in x are NA; these are removed.
+# state 2
+plot_blank(main = "method_2")
+add_lines_for_state("state_2")
+#> 1 observation pair(s) in x are NA; these are removed.
+# state 3
+plot_blank(main = "method_3")
+add_lines_for_state("state_3")
+#> 1 observation pair(s) in x are NA; these are removed.
+# state 4
+plot_blank(main = "method_4")
+add_lines_for_state("state_4")
+#> 1 observation pair(s) in x are NA; these are removed.
+
+graphics::par(pp)
+
+
    +
    +
    - - - + + diff --git a/docs/reference/get_n_operational_ts-1.png b/docs/reference/get_n_operational_ts-1.png index 7918aa8..0e9f323 100644 Binary files a/docs/reference/get_n_operational_ts-1.png and b/docs/reference/get_n_operational_ts-1.png differ diff --git a/docs/reference/get_n_operational_ts-2.png b/docs/reference/get_n_operational_ts-2.png index 39ffe67..65ee7a4 100644 Binary files a/docs/reference/get_n_operational_ts-2.png and b/docs/reference/get_n_operational_ts-2.png differ diff --git a/docs/reference/get_n_operational_ts-3.png b/docs/reference/get_n_operational_ts-3.png index 4698d6b..70457fc 100644 Binary files a/docs/reference/get_n_operational_ts-3.png and b/docs/reference/get_n_operational_ts-3.png differ diff --git a/docs/reference/get_n_operational_ts-4.png b/docs/reference/get_n_operational_ts-4.png index fa8c8e7..283035d 100644 Binary files a/docs/reference/get_n_operational_ts-4.png and b/docs/reference/get_n_operational_ts-4.png differ diff --git a/docs/reference/get_n_operational_ts-5.png b/docs/reference/get_n_operational_ts-5.png index ad2d354..9f04f94 100644 Binary files a/docs/reference/get_n_operational_ts-5.png and b/docs/reference/get_n_operational_ts-5.png differ diff --git a/docs/reference/get_n_operational_ts-6.png b/docs/reference/get_n_operational_ts-6.png index 6ed98cb..375a687 100644 Binary files a/docs/reference/get_n_operational_ts-6.png and b/docs/reference/get_n_operational_ts-6.png differ diff --git a/docs/reference/get_n_operational_ts.html b/docs/reference/get_n_operational_ts.html index 4ab34a8..c9c1ff1 100644 --- a/docs/reference/get_n_operational_ts.html +++ b/docs/reference/get_n_operational_ts.html @@ -1,67 +1,12 @@ - - - - - - - -Calculate the number of operational units through time — get_n_operational_ts • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate the number of operational units through time — get_n_operational_ts • flapper - - + + - - -
    -
    - -
    - -
    +

    Calculate the number of operational units through time

    - Source: R/get_detections.R + Source: R/get_detections.R
    @@ -123,140 +65,152 @@

    Calculate the number of operational units through time

    This function calculates the number of operational units through time (e.g., the number of individuals at liberty or the number of active acoustic receivers over the course of a study). To implement the function, a dataframe (data) must be supplied that defines the start and end time of each unit's operational period. Then, for each time step in a user-specified sequence of times, or an automatically generated sequence of times from the earliest start time to the latest end time in data, the function counts the number of units that were operational on each time step and returns a dataframe (and, if specified, a plot) with this information.

    - 
    get_n_operational_ts(data, start, stop, times = NULL, plot = TRUE, ...)
    +
    + 
    get_n_operational_ts(data, start, stop, times = NULL, plot = TRUE, ...)
    +
    + +
    +

    Arguments

    +
    data
    +

    A dataframe of observations. At a minimum, this should contain two columns that define the start and end of each unit's operational period, identified by start and stop below.

    + + +
    start
    +

    A character string that defines the name of the column in data that defines the start time of each unit's operational period.

    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - -
    data

    A dataframe of observations. At a minimum, this should contain two columns that define the start and end of each unit's operational period, identified by start and stop below.

    start

    A character string that defines the name of the column in data that defines the start time of each unit's operational period.

    stop

    A character string that defines the name of the column in data that defines the end time of each unit's operational period.

    times

    A vector of times for which to calculate the number of units that were operational at each time. If times = NULL, a regular sequence of dates from the first to the last date in data is used.

    plot

    A logical variable that defines whether or not to plot the time series of the number of operational units.

    ...

    Additional arguments, passed to pretty_plot, to customise the plot.

    -

    Value

    +
    stop
    +

    A character string that defines the name of the column in data that defines the end time of each unit's operational period.

    -

    The function returns a dataframe that, for each time step (`time'), defines the number of operational units at that time (`n'). If plot = TRUE, the function also plots a time series of the number of operational units.

    -

    Details

    -

    This is a simple metric of sampling effort. For acoustic receivers, get_detection_area_ts provides another metric of sampling effort.

    -

    Author

    +
    times
    +

    A vector of times for which to calculate the number of units that were operational at each time. If times = NULL, a regular sequence of dates from the first to the last date in data is used.

    + +
    plot
    +

    A logical variable that defines whether or not to plot the time series of the number of operational units.

    + + +
    ...
    +

    Additional arguments, passed to pretty_plot, to customise the plot.

    + +
    +
    +

    Value

    + + +

    The function returns a dataframe that, for each time step (`time'), defines the number of operational units at that time (`n'). If plot = TRUE, the function also plots a time series of the number of operational units.

    +
    +
    +

    Details

    +

    This is a simple metric of sampling effort. For acoustic receivers, get_detection_area_ts provides another metric of sampling effort.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Number of operational receivers over an acoustic telemetry study
-dat_n <- get_n_operational_ts(data = dat_moorings,
-                              start = "receiver_start_date",
-                              stop = "receiver_end_date")
-
    utils::head(dat_n)
-
    #>         time  n
-#> 1 2016-03-03 18
-#> 2 2016-03-04 18
-#> 3 2016-03-05 18
-#> 4 2016-03-06 18
-#> 5 2016-03-07 18
-#> 6 2016-03-08 18
    
-#### Example (2): Number of individuals at liberty over a tagging study
-# Define 'tag_end_date' as hypothetical end date of a study
-# ...  and assume that all individuals remained tagged until this time
-dat_ids$tag_end_date <- as.Date("2017-06-05")
-dat_n <- get_n_operational_ts(data = dat_ids,
-                              start = "tag_start_date",
-                              stop = "tag_end_date")
-
    
-#### Example (3): Specify the time period under consideration
-dat_n <- get_n_operational_ts(data = dat_ids,
-                              start = "tag_start_date",
-                              stop = "tag_end_date",
-                              times = seq(min(dat_moorings$receiver_start_date),
-                                          max(dat_moorings$receiver_end_date), 1)
-                              )
-
    
-#### Example (4): Suppress or customise the plot
-dat_n <- get_n_operational_ts(data = dat_ids,
-                              start = "tag_start_date",
-                              stop = "tag_end_date",
-                              plot = FALSE)
-dat_n <- get_n_operational_ts(data = dat_ids,
-                              start = "tag_start_date",
-                              stop = "tag_end_date",
-                              xlab = "Time", ylab = "N (individuals)",
-                              type = "l")
-
    
-#### Example (5): Additional examples with simulated data
-# Example with one unit deployed on each day
-tmp <- data.frame(id = 1:3L,
-                  start = as.Date(c("2016-01-01", "2016-01-02", "2016-01-03")),
-                  stop = as.Date(c("2016-01-01", "2016-01-02", "2016-01-03"))
-                  )
-get_n_operational_ts(data = tmp, start = "start", stop = "stop")
-
    #> Lower and upper limits for an inputted variable are identical. This is usually because all values of this variable are identical. Adjusted limits (+/- 25 % or +/- 0.25 or +/- 60 s) implemented.
    #>         time n
-#> 1 2016-01-01 1
-#> 2 2016-01-02 1
-#> 3 2016-01-03 1
    # Example with one unit deployed over a longer period
-tmp <- data.frame(id = 1:3L,
-                  start = as.Date(c("2016-01-01", "2016-01-02", "2016-01-03")),
-                  stop = as.Date(c("2016-01-10", "2016-01-02", "2016-01-03"))
-                  )
-get_n_operational_ts(data = tmp, start = "start", stop = "stop")
-
    #>          time n
-#> 1  2016-01-01 1
-#> 2  2016-01-02 2
-#> 3  2016-01-03 2
-#> 4  2016-01-04 1
-#> 5  2016-01-05 1
-#> 6  2016-01-06 1
-#> 7  2016-01-07 1
-#> 8  2016-01-08 1
-#> 9  2016-01-09 1
-#> 10 2016-01-10 1
    
-
    +
    +

    Examples

    + 
    #### Example (1): Number of operational receivers over an acoustic telemetry study
+dat_n <- get_n_operational_ts(data = dat_moorings,
+                              start = "receiver_start_date",
+                              stop = "receiver_end_date")
+
+utils::head(dat_n)
+#>         time  n
+#> 1 2016-03-03 18
+#> 2 2016-03-04 18
+#> 3 2016-03-05 18
+#> 4 2016-03-06 18
+#> 5 2016-03-07 18
+#> 6 2016-03-08 18
+
+#### Example (2): Number of individuals at liberty over a tagging study
+# Define 'tag_end_date' as hypothetical end date of a study
+# ...  and assume that all individuals remained tagged until this time
+dat_ids$tag_end_date <- as.Date("2017-06-05")
+dat_n <- get_n_operational_ts(data = dat_ids,
+                              start = "tag_start_date",
+                              stop = "tag_end_date")
+
+
+#### Example (3): Specify the time period under consideration
+dat_n <- get_n_operational_ts(data = dat_ids,
+                              start = "tag_start_date",
+                              stop = "tag_end_date",
+                              times = seq(min(dat_moorings$receiver_start_date),
+                                          max(dat_moorings$receiver_end_date), 1)
+                              )
+
+
+#### Example (4): Suppress or customise the plot
+dat_n <- get_n_operational_ts(data = dat_ids,
+                              start = "tag_start_date",
+                              stop = "tag_end_date",
+                              plot = FALSE)
+dat_n <- get_n_operational_ts(data = dat_ids,
+                              start = "tag_start_date",
+                              stop = "tag_end_date",
+                              xlab = "Time", ylab = "N (individuals)",
+                              type = "l")
+
+
+#### Example (5): Additional examples with simulated data
+# Example with one unit deployed on each day
+tmp <- data.frame(id = 1:3L,
+                  start = as.Date(c("2016-01-01", "2016-01-02", "2016-01-03")),
+                  stop = as.Date(c("2016-01-01", "2016-01-02", "2016-01-03"))
+                  )
+get_n_operational_ts(data = tmp, start = "start", stop = "stop")
+#> Lower and upper limits for an inputted variable are identical. This is usually because all values of this variable are identical. Adjusted limits (+/- 25 % or +/- 0.25 or +/- 60 s) implemented.
+
+#>         time n
+#> 1 2016-01-01 1
+#> 2 2016-01-02 1
+#> 3 2016-01-03 1
+# Example with one unit deployed over a longer period
+tmp <- data.frame(id = 1:3L,
+                  start = as.Date(c("2016-01-01", "2016-01-02", "2016-01-03")),
+                  stop = as.Date(c("2016-01-10", "2016-01-02", "2016-01-03"))
+                  )
+get_n_operational_ts(data = tmp, start = "start", stop = "stop")
+
+#>          time n
+#> 1  2016-01-01 1
+#> 2  2016-01-02 2
+#> 3  2016-01-03 2
+#> 4  2016-01-04 1
+#> 5  2016-01-05 1
+#> 6  2016-01-06 1
+#> 7  2016-01-07 1
+#> 8  2016-01-08 1
+#> 9  2016-01-09 1
+#> 10 2016-01-10 1
+
+
    +
    +
    - - - + + diff --git a/docs/reference/get_residents-1.png b/docs/reference/get_residents-1.png index fa13fa1..b94d1a2 100644 Binary files a/docs/reference/get_residents-1.png and b/docs/reference/get_residents-1.png differ diff --git a/docs/reference/get_residents.html b/docs/reference/get_residents.html index 551a4fb..2d43064 100644 --- a/docs/reference/get_residents.html +++ b/docs/reference/get_residents.html @@ -1,67 +1,12 @@ - - - - - - - -Identify `resident' individuals in a passive acoustic telemetry array — get_residents • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Identify `resident' individuals in a passive acoustic telemetry array — get_residents • flapper - - + + - - -
    -
    - -
    - -
    +

    Identify `resident' individuals in a passive acoustic telemetry array

    - Source: R/get_detections.R + Source: R/get_detections.R
    @@ -123,101 +65,107 @@

    Identify `resident' individuals in a passive acoustic telemetry array

    This function identifies `resident' individuals in a passive acoustic telemetry array from acoustic detection time series.

    - 
    get_residents(
-  acoustics,
-  fct = NULL,
-  resident_threshold_gap = 31,
-  resident_threshold_duration = c(91.2501, 365.25),
-  resident_labels = c("S", "L"),
-  non_resident_label = "N",
-  keep = NULL
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    acoustics

    A dataframe that contains passive acoustic telemetry detection time series (see dat_acoustics for an example). At a minimum, this should contain a POSIXct vector of time stamps when detections were made named `timestamp'.

    fct

    (optional) A character that defines the name of a column in acoustics that distinguishes acoustic time series for different individuals.

    resident_threshold_gap

    A number that specifies the maximum gap (days) between detections for an individual to be considered `resident' over the period of detections.

    resident_threshold_duration

    A sorted, numeric vector that specifies the duration (days) over which `regular' detections (spaced less than resident_threshold_gap apart) must occur for an individual to be considered as `resident'. A vector can be supplied to distinguish multiple residency categories (e.g., short-term residents and long-term residents).

    resident_labels

    A character vector of labels, one for each resident_threshold_duration, for residency categories (e.g., short-term and long-term residents).

    non_resident_label

    A character that defines the label given to non-residents.

    keep

    A character vector of column names in acoustics to retain in the returned dataframe (e.g., `sex', `maturity' etc.).

    - -

    Value

    - -

    The function returns a dataframe that defines, for each individual (fct), the duration (days) between the first detection and the last detection in a series of detections spaced less than resident_threshold_gap days apart (`time'), and the residency category (as defined by resident_threshold_duration and resident_labels).

    -

    Details

    +
    + 
    get_residents(
+  acoustics,
+  fct = NULL,
+  resident_threshold_gap = 31,
+  resident_threshold_duration = c(91.2501, 365.25),
+  resident_labels = c("S", "L"),
+  non_resident_label = "N",
+  keep = NULL
+)
    +
    + +
    +

    Arguments

    +
    acoustics
    +

    A dataframe that contains passive acoustic telemetry detection time series (see dat_acoustics for an example). At a minimum, this should contain a POSIXct vector of time stamps when detections were made named `timestamp'.

    + + +
    fct
    +

    (optional) A character that defines the name of a column in acoustics that distinguishes acoustic time series for different individuals.

    + + +
    resident_threshold_gap
    +

    A number that specifies the maximum gap (days) between detections for an individual to be considered `resident' over the period of detections.

    + + +
    resident_threshold_duration
    +

    A sorted, numeric vector that specifies the duration (days) over which `regular' detections (spaced less than resident_threshold_gap apart) must occur for an individual to be considered as `resident'. A vector can be supplied to distinguish multiple residency categories (e.g., short-term residents and long-term residents).

    -

    This function assigns residency categories (e.g., non-resident, short-term resident, long-term resident) to individuals in acoustics, returning a dataframe with one row for each individual and a column for assigned residency categories. `Resident' individuals are defined as individuals with (a) `regular' detections (i.e. detections spaced less than some threshold time (resident_threshold_duration) apart) that (b) last for a requisite time interval (resident_threshold_duration). Multiple residency categories can be specified. Under the default options, non-residents are labelled "N". Short-term residents (labelled "S") are defined as individuals for which sequential detections were less than 31 days apart for more than 91 days (three months). Long-term residents (labelled "L") are defined as individuals for which sequential detections were less than 31 days apart for more than 365 days (12 months).

    -

    A method argument may be added in due course to implement other methods to define `resident' individuals (e.g., based on detection days, see get_detection_days) .

    -

    References

    -

    Lavender, et al. (in review). Movement patterns of a Critically Endangered elasmobranch (Dipturus intermedius) in a Marine Protected Area. Aquatic Conservation: Marine and Freshwater Ecosystems.

    -

    See also

    +
    resident_labels
    +

    A character vector of labels, one for each resident_threshold_duration, for residency categories (e.g., short-term and long-term residents).

    -

    get_detection_days, get_detection_clumps

    -

    Author

    +
    non_resident_label
    +

    A character that defines the label given to non-residents.

    + + +
    keep
    +

    A character vector of column names in acoustics to retain in the returned dataframe (e.g., `sex', `maturity' etc.).

    + +
    +
    +

    Value

    + + +

    The function returns a dataframe that defines, for each individual (fct), the duration (days) between the first detection and the last detection in a series of detections spaced less than resident_threshold_gap days apart (`time'), and the residency category (as defined by resident_threshold_duration and resident_labels).

    +
    +
    +

    Details

    +

    This function assigns residency categories (e.g., non-resident, short-term resident, long-term resident) to individuals in acoustics, returning a dataframe with one row for each individual and a column for assigned residency categories. `Resident' individuals are defined as individuals with (a) `regular' detections (i.e. detections spaced less than some threshold time (resident_threshold_duration) apart) that (b) last for a requisite time interval (resident_threshold_duration). Multiple residency categories can be specified. Under the default options, non-residents are labelled "N". Short-term residents (labelled "S") are defined as individuals for which sequential detections were less than 31 days apart for more than 91 days (three months). Long-term residents (labelled "L") are defined as individuals for which sequential detections were less than 31 days apart for more than 365 days (12 months).

    +

    A method argument may be added in due course to implement other methods to define `resident' individuals (e.g., based on detection days, see get_detection_days) .

    +
    +
    +

    References

    +

    Lavender, et al. (in 2021). Movement patterns of a Critically Endangered elasmobranch (Dipturus intermedius) in a Marine Protected Area. Aquatic Conservation: Marine and Freshwater Ecosystems, 32(2), 348--365. https://doi.org/10.1002/aqc.3753

    +
    + +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Implement default options
-get_residents(dat_acoustics, fct = "individual_id")
-
    #>   individual_id     time resident
-#> 1            25 441.1722        L
-#> 2            28 220.4486        S
-#> 3            35 397.2486        L
    # Compare results to abacus plot
-prettyGraphics::pretty_plot(dat_acoustics$timestamp, dat_acoustics$individual_id)
-
    
-
    +
    +

    Examples

    + 
    #### Example (1): Implement default options
+get_residents(dat_acoustics, fct = "individual_id")
+#>   individual_id     time resident
+#> 1            25 441.1722        L
+#> 2            28 220.4486        S
+#> 3            35 397.2486        L
+# Compare results to abacus plot
+prettyGraphics::pretty_plot(dat_acoustics$timestamp, dat_acoustics$individual_id)
+
+
+
    +
    +
    - - - + + diff --git a/docs/reference/index.html b/docs/reference/index.html index fb9b058..a77f49a 100644 --- a/docs/reference/index.html +++ b/docs/reference/index.html @@ -1,66 +1,12 @@ - - - - - - - -Function reference • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Function reference • flapper - + + - - - -
    -
    - -
    - -
    +

    Reference

    - - - - - - - - - - -
    -

    All functions

    + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + - - - - - - - - - - - - - - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + - - - - - - - - - - - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + - - - - - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + - - - - - - - + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + - - -
    +

    All functions

    +

    ac()

    The acoustic-container (AC) algorithm

    +

    acdc()

    The acoustic-container depth-contour (ACDC) algorithm

    +

    acdc_access_dat() acdc_access_timesteps() acdc_access_maps()

    Short-cuts to elements of an "acdc_record" object

    +

    acdc_animate_record()

    Create a html animation of the AC/DC algorithm(s)

    +

    acdc_archive-class

    "acdc-archive" class

    +

    acdc_plot_record()

    Plot time-specific maps from the AC/DC algorithm(s)

    +

    acdc_plot_trace()

    Plot AC* container dynamics

    +

    acdc_record-class

    "acdc_record" class

    +

    acdc_simplify()

    Simplify the outputs of the AC/DC algorithms

    +

    acs_setup_containers()

    Setup the detection containers required for the AC* algorithm(s)

    +

    acs_setup_detection_kernels()

    Setup detection probability kernels for the AC* algorithm(s)

    +

    acs_setup_mobility()

    Examine the constant `mobility' assumption of the AC* algorithm(s)

    +

    assemble_sentinel_counts()

    Assemble counts of transmissions/detections from sentinel tags

    +

    buffer_and_crop()

    Buffer and crop a spatial object

    +

    cells_from_val()

    Obtain a RasterLayer or the cells of RasterLayer that are equal to or lie within a range of specified values

    +

    cl_lapply() cl_check() cl_cores() cl_chunks() cl_export() cl_stop()

    Parallelisation helpers

    +

    coa()

    The centres of activity (COA) algorithm

    +

    coa_setup_delta_t()

    Suggest time intervals over which to calculate centres of activity

    +

    crop_from_click()

    Interactively crop a raster

    +

    Interactively crop a raster

    dat_acdc

    Example ACDC algorithm output

    +

    dat_acoustics

    Example passive acoustic telemetry detections dataset

    +

    dat_archival

    Example archival dataset

    +

    dat_coast

    The coastline around the MEFS Firth of Lorn acoustic array

    +

    dat_containers

    Example detection containers from acs_setup_containers

    +

    Example detection containers from acs_setup_containers

    dat_dc

    Example DC algorithm output

    +

    dat_dcpf_histories

    Example DCPF algorithm output: particle histories

    +

    dat_dcpf_paths

    Example DCPF algorithm output: reconstructed paths

    +

    dat_gebco

    The bathymetry around the MEFS Firth of Lorn acoustic array

    +

    dat_ids

    Example tagged individuals dataset

    +

    dat_moorings

    Example passive acoustic telemetry receiver moorings dataset

    +

    dat_sentinel

    Example sentinel tag range testing dataset

    +

    dc()

    The depth-contour (DC) algorithm

    +

    dcq()

    The `quick' depth-contour (DCQ) algorithm

    +

    dist_btw_clicks()

    Calculate the distance between sequential mouse clicks on a map

    +

    dist_btw_points_3d()

    Calculate the Euclidean distance between points in three-dimensional space.

    +

    Calculate the Euclidean distance(s) between points in three-dimensional space.

    dist_btw_receivers()

    Compute Euclidean distances between receivers

    +

    dist_over_surface()

    Calculate the total distance of a path over a three-dimensional surface

    +

    eval_by_kud()

    Evaluate movement path estimates using kernel utilisation distributions

    +

    flapper-tips-parallel

    Parallelisation in flapper

    +

    Parallelisation in flapper

    flapper

    flapper: Routines for the analysis of passive acoustic telemetry data

    +

    flapper_run_parallel flapper_run_slow

    Global example controls

    +

    get_detection_area_sum()

    Calculate the total area sampled by acoustic receivers

    +

    get_detection_area_ts()

    Calculate the area sampled by receivers through time

    +

    get_detection_clumps()

    Get detection clumps

    +

    get_detection_containers()

    Define detection containers around receivers

    +

    get_detection_containers_envir()

    Sample environmental conditions around receivers

    +

    get_detection_containers_overlap()

    Get detection container overlaps

    +

    get_detection_days()

    Calculate detection days

    +

    get_detection_overlaps()

    Get `overlapping' detections

    +

    get_detection_pr()

    A detection probability function based on distance

    +

    get_hr_prop() get_hr_core() get_hr_home() get_hr_full()

    Get animal `home ranges'

    +

    get_id_rec_overlap()

    Calculate the overlap between individuals' time at liberty and receivers' operational periods

    +

    get_intersection()

    Spatial intersections with one or more geometries

    +

    get_mvt_mobility_from_acoustics() get_mvt_mobility_from_archival()

    Estimate individual swimming speeds from acoustic and archival data

    +

    get_mvt_resting()

    Identify resting behaviour within depth time series

    +

    get_n_operational_ts()

    Calculate the number of operational units through time

    +

    get_residents()

    Identify `resident' individuals in a passive acoustic telemetry array

    +

    invert_poly()

    Invert a (spatial) polygon

    +

    kud_around_coastline() kud_around_coastline_fast()

    Process a kernel utilisation distribution around a barrier

    +

    kud_habitat()

    Define a `habitat' grid for kernel smoothing

    +

    lcp_comp()

    Compare Euclidean and shortest distances

    +

    lcp_costs()

    Calculate the distances between connected cells in a Raster*

    +

    lcp_from_point()

    Create a Raster* of the least-cost distances around a point

    +

    lcp_graph_surface()

    Construct a graph for least-cost paths analysis of movement from a point on a Raster*

    +

    lcp_interp()

    Interpolate shortest (least-cost) paths between locations along a movement path

    +

    lcp_over_surface()

    Calculate shortest path(s) and/or distance(s) over a surface between origin and destination coordinates

    +

    make_df_detections()

    Convert a detection matrix into a dataframe

    +

    make_matrix_cooccurence()

    Compute a detection history similarity matrix

    +

    make_matrix_detections()

    Matricise detection time series

    +

    make_matrix_ids()

    Matricise individual deployment time series

    +

    make_matrix_receivers()

    Matricise receiver deployment time series

    +

    mask_io()

    Implement mask using the inside or outside of the mask

    +

    Implement mask using the inside or outside of the mask

    pf()

    The particle filtering routine

    +

    pf_access_history()

    Access the `history' element of a pf_archive-class object

    +

    Access the `history' element of a pf_archive-class object

    pf_access_history_files()

    List `history' files from a PF algorithm

    +

    pf_access_particles_unique()

    Access the cells sampled by PF

    +

    pf_animate_history()

    Create a html animation of the PF algorithm(s)

    +

    pf_archive-class

    "pf_archive" class

    +

    pf_kud()

    Smooth POU maps

    +

    pf_kud_1() pf_kud_2()

    (Experimental) Alternative kernel smoothing routines for particles or paths from a PF algorithm

    +

    pf_loglik()

    Calculate the log-probability of movement paths from a PF algorithm

    +

    pf_path-class

    "pf" class

    +

    pf_plot_1d()

    Plot one-dimensional depth time series from a PF algorithm

    +

    pf_plot_2d()

    Map two-dimensional paths from a PF algorithm

    +

    pf_plot_3d()

    Map three-dimensional paths from a PF algorithm

    +

    pf_plot_history()

    Plot particle histories from a PF algorithm

    +

    pf_plot_map()

    Plot `probability of use' from a PF algorithm

    +

    pf_setup_movement_pr()

    A simple movement model dependent on distance

    +

    pf_setup_optimisers()

    Optimisation settings for pf

    +

    Optimisation settings for pf

    pf_setup_record()

    List `record' files from an AC/DC algorithm for PF

    +

    pf_simplify()

    Convert particle histories from pf into movement paths

    +

    Convert particle histories from pf into movement paths

    process_false_detections_sf()

    Pass putative false detections through a spatial filter

    +

    process_quality_check()

    Basic quality checks of passive acoustic telemetry datasets

    +

    process_receiver_id()

    Add unique receiver IDs to passive acoustic telemetry time series

    +

    process_surface()

    Process a Raster* by aggregation and quantify the error induced by this process

    +

    query_open_topo()

    Query the Open Topo Data API for elevation data

    +

    segments_cross_barrier()

    Determine if Euclidean path segments cross a barrier

    +

    sim_array()

    Simulate (marine) monitoring arrays

    +

    sim_detections()

    Simulate detections

    +

    sim_path_*

    Functions for the simulation of movement paths

    +

    sim_path_ou_1()

    Simulate discrete-time movement paths under a Ornstein-Uhlenbeck process (1)

    +

    sim_path_sa() sim_steps() sim_angles()

    Simulate discrete-time movement paths from step lengths and turning angles

    +

    sim_surface()

    Populate a raster with simulated values

    +

    split_raster_equally()

    Split a raster into equal-area parts

    +

    update_extent()

    Shrink or expand an extent object

    +

    Shrink or expand an extent object

    xy_from_click()

    Get location coordinates from mouse click(s)

    - +
    +
    -
    - - + + diff --git a/docs/reference/invert_poly-1.png b/docs/reference/invert_poly-1.png index 9f12041..ca1b30c 100644 Binary files a/docs/reference/invert_poly-1.png and b/docs/reference/invert_poly-1.png differ diff --git a/docs/reference/invert_poly.html b/docs/reference/invert_poly.html index 73a67ce..5c0c62d 100644 --- a/docs/reference/invert_poly.html +++ b/docs/reference/invert_poly.html @@ -1,67 +1,12 @@ - - - - - - - -Invert a (spatial) polygon — invert_poly • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Invert a (spatial) polygon — invert_poly • flapper - - + + - - -
    -
    - -
    - -
    +

    Invert a (spatial) polygon

    - Source: R/spatial_tools.R + Source: R/spatial_tools.R
    @@ -123,156 +65,181 @@

    Invert a (spatial) polygon

    This function inverts a (spatial) polygon so that the `inside' of the original polygon becomes the `outside' and vice-versa. The function was motivated by marine applications in which polygons that define the coastline `contain' land and need to be inverted to define the sea.

    - 
    invert_poly(x, boundaries = raster::extent(x), ...)
    +
    + 
    invert_poly(x, boundaries = raster::extent(x), ...)
    +
    + +
    +

    Arguments

    +
    x
    +

    An SpatialPolygons-class or SpatialPolygonsDataFrame-class object.

    + + +
    boundaries
    +

    A extent object that defines the boundaries of the area under consideration. By default, this is defined by the extent of x.

    -

    Arguments

    - - - - - - - - - - - - - - -
    x

    An SpatialPolygons-class or SpatialPolygonsDataFrame-class object.

    boundaries

    A extent object that defines the boundaries of the area under consideration. By default, this is defined by the extent of x.

    ...

    Additional arguments passed to gDifference.

    -

    Value

    +
    ...
    +

    Additional arguments passed to gDifference.

    -

    The function returns a SpatialPolygons-class object.

    -

    Author

    +
    +
    +

    Value

    + +

    The function returns a SpatialPolygons-class object.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Compare original and inverted polygon
-# In this example, we have a polygon that defines the coastline
-# ... with the polygon enclosing the land. We can invert
-# ... the polygon to return a polygon that defines the sea.
-pp <- graphics::par(mfrow = c(1, 2))
-raster::plot(dat_coast, col = "darkgreen")
-dat_sea <- invert_poly(dat_coast)
-raster::plot(dat_sea, col = "skyblue")
-
    graphics::par(pp)
-# The CRS of the two objects is identical
-raster::crs(dat_coast); raster::crs(dat_sea)
-
    #> Coordinate Reference System:
-#> Deprecated Proj.4 representation:
-#>  +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> WKT2 2019 representation:
-#> PROJCRS["unknown",
-#>     BASEGEOGCRS["unknown",
-#>         DATUM["World Geodetic System 1984",
-#>             ELLIPSOID["WGS 84",6378137,298.257223563,
-#>                 LENGTHUNIT["metre",1]],
-#>             ID["EPSG",6326]],
-#>         PRIMEM["Greenwich",0,
-#>             ANGLEUNIT["degree",0.0174532925199433],
-#>             ID["EPSG",8901]]],
-#>     CONVERSION["UTM zone 29N",
-#>         METHOD["Transverse Mercator",
-#>             ID["EPSG",9807]],
-#>         PARAMETER["Latitude of natural origin",0,
-#>             ANGLEUNIT["degree",0.0174532925199433],
-#>             ID["EPSG",8801]],
-#>         PARAMETER["Longitude of natural origin",-9,
-#>             ANGLEUNIT["degree",0.0174532925199433],
-#>             ID["EPSG",8802]],
-#>         PARAMETER["Scale factor at natural origin",0.9996,
-#>             SCALEUNIT["unity",1],
-#>             ID["EPSG",8805]],
-#>         PARAMETER["False easting",500000,
-#>             LENGTHUNIT["metre",1],
-#>             ID["EPSG",8806]],
-#>         PARAMETER["False northing",0,
-#>             LENGTHUNIT["metre",1],
-#>             ID["EPSG",8807]],
-#>         ID["EPSG",16029]],
-#>     CS[Cartesian,2],
-#>         AXIS["(E)",east,
-#>             ORDER[1],
-#>             LENGTHUNIT["metre",1,
-#>                 ID["EPSG",9001]]],
-#>         AXIS["(N)",north,
-#>             ORDER[2],
-#>             LENGTHUNIT["metre",1,
-#>                 ID["EPSG",9001]]]] 
    #> Coordinate Reference System:
-#> Deprecated Proj.4 representation:
-#>  +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> WKT2 2019 representation:
-#> PROJCRS["unknown",
-#>     BASEGEOGCRS["unknown",
-#>         DATUM["World Geodetic System 1984",
-#>             ELLIPSOID["WGS 84",6378137,298.257223563,
-#>                 LENGTHUNIT["metre",1]],
-#>             ID["EPSG",6326]],
-#>         PRIMEM["Greenwich",0,
-#>             ANGLEUNIT["degree",0.0174532925199433],
-#>             ID["EPSG",8901]]],
-#>     CONVERSION["UTM zone 29N",
-#>         METHOD["Transverse Mercator",
-#>             ID["EPSG",9807]],
-#>         PARAMETER["Latitude of natural origin",0,
-#>             ANGLEUNIT["degree",0.0174532925199433],
-#>             ID["EPSG",8801]],
-#>         PARAMETER["Longitude of natural origin",-9,
-#>             ANGLEUNIT["degree",0.0174532925199433],
-#>             ID["EPSG",8802]],
-#>         PARAMETER["Scale factor at natural origin",0.9996,
-#>             SCALEUNIT["unity",1],
-#>             ID["EPSG",8805]],
-#>         PARAMETER["False easting",500000,
-#>             LENGTHUNIT["metre",1],
-#>             ID["EPSG",8806]],
-#>         PARAMETER["False northing",0,
-#>             LENGTHUNIT["metre",1],
-#>             ID["EPSG",8807]],
-#>         ID["EPSG",16029]],
-#>     CS[Cartesian,2],
-#>         AXIS["(E)",east,
-#>             ORDER[1],
-#>             LENGTHUNIT["metre",1,
-#>                 ID["EPSG",9001]]],
-#>         AXIS["(N)",north,
-#>             ORDER[2],
-#>             LENGTHUNIT["metre",1,
-#>                 ID["EPSG",9001]]]] 
    # Compare the classes of the two objects
-class(dat_coast); class(dat_sea)
-
    #> [1] "SpatialPolygonsDataFrame"
-#> attr(,"package")
-#> [1] "sp"
    #> [1] "SpatialPolygons"
-#> attr(,"package")
-#> [1] "sp"
    +
    +

    Examples

    + 
    #### Example (1): Compare original and inverted polygon
+# In this example, we have a polygon that defines the coastline
+# ... with the polygon enclosing the land. We can invert
+# ... the polygon to return a polygon that defines the sea.
+pp <- graphics::par(mfrow = c(1, 2))
+raster::plot(dat_coast, col = "darkgreen")
+dat_sea <- invert_poly(dat_coast)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+raster::plot(dat_sea, col = "skyblue")
+
+graphics::par(pp)
+# The CRS of the two objects is identical
+raster::crs(dat_coast); raster::crs(dat_sea)
+#> Coordinate Reference System:
+#> Deprecated Proj.4 representation:
+#>  +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> WKT2 2019 representation:
+#> PROJCRS["WGS 84 / UTM zone 29N",
+#>     BASEGEOGCRS["WGS 84",
+#>         ENSEMBLE["World Geodetic System 1984 ensemble",
+#>             MEMBER["World Geodetic System 1984 (Transit)"],
+#>             MEMBER["World Geodetic System 1984 (G730)"],
+#>             MEMBER["World Geodetic System 1984 (G873)"],
+#>             MEMBER["World Geodetic System 1984 (G1150)"],
+#>             MEMBER["World Geodetic System 1984 (G1674)"],
+#>             MEMBER["World Geodetic System 1984 (G1762)"],
+#>             MEMBER["World Geodetic System 1984 (G2139)"],
+#>             ELLIPSOID["WGS 84",6378137,298.257223563,
+#>                 LENGTHUNIT["metre",1]],
+#>             ENSEMBLEACCURACY[2.0]],
+#>         PRIMEM["Greenwich",0,
+#>             ANGLEUNIT["degree",0.0174532925199433]],
+#>         ID["EPSG",4326]],
+#>     CONVERSION["UTM zone 29N",
+#>         METHOD["Transverse Mercator",
+#>             ID["EPSG",9807]],
+#>         PARAMETER["Latitude of natural origin",0,
+#>             ANGLEUNIT["degree",0.0174532925199433],
+#>             ID["EPSG",8801]],
+#>         PARAMETER["Longitude of natural origin",-9,
+#>             ANGLEUNIT["degree",0.0174532925199433],
+#>             ID["EPSG",8802]],
+#>         PARAMETER["Scale factor at natural origin",0.9996,
+#>             SCALEUNIT["unity",1],
+#>             ID["EPSG",8805]],
+#>         PARAMETER["False easting",500000,
+#>             LENGTHUNIT["metre",1],
+#>             ID["EPSG",8806]],
+#>         PARAMETER["False northing",0,
+#>             LENGTHUNIT["metre",1],
+#>             ID["EPSG",8807]]],
+#>     CS[Cartesian,2],
+#>         AXIS["(E)",east,
+#>             ORDER[1],
+#>             LENGTHUNIT["metre",1]],
+#>         AXIS["(N)",north,
+#>             ORDER[2],
+#>             LENGTHUNIT["metre",1]],
+#>     USAGE[
+#>         SCOPE["Engineering survey, topographic mapping."],
+#>         AREA["Between 12degreesW and 6degreesW, northern hemisphere between equator and 84degreesN, onshore and offshore. Algeria. Cote D'Ivoire (Ivory Coast). Faroe Islands. Guinea. Ireland. Jan Mayen. Mali. Mauritania. Morocco. Portugal. Sierra Leone. Spain. United Kingdom (UK). Western Sahara."],
+#>         BBOX[0,-12,84,-6]],
+#>     ID["EPSG",32629]] 
+#> Coordinate Reference System:
+#> Deprecated Proj.4 representation:
+#>  +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> WKT2 2019 representation:
+#> PROJCRS["WGS 84 / UTM zone 29N",
+#>     BASEGEOGCRS["WGS 84",
+#>         ENSEMBLE["World Geodetic System 1984 ensemble",
+#>             MEMBER["World Geodetic System 1984 (Transit)"],
+#>             MEMBER["World Geodetic System 1984 (G730)"],
+#>             MEMBER["World Geodetic System 1984 (G873)"],
+#>             MEMBER["World Geodetic System 1984 (G1150)"],
+#>             MEMBER["World Geodetic System 1984 (G1674)"],
+#>             MEMBER["World Geodetic System 1984 (G1762)"],
+#>             MEMBER["World Geodetic System 1984 (G2139)"],
+#>             ELLIPSOID["WGS 84",6378137,298.257223563,
+#>                 LENGTHUNIT["metre",1]],
+#>             ENSEMBLEACCURACY[2.0]],
+#>         PRIMEM["Greenwich",0,
+#>             ANGLEUNIT["degree",0.0174532925199433]],
+#>         ID["EPSG",4326]],
+#>     CONVERSION["UTM zone 29N",
+#>         METHOD["Transverse Mercator",
+#>             ID["EPSG",9807]],
+#>         PARAMETER["Latitude of natural origin",0,
+#>             ANGLEUNIT["degree",0.0174532925199433],
+#>             ID["EPSG",8801]],
+#>         PARAMETER["Longitude of natural origin",-9,
+#>             ANGLEUNIT["degree",0.0174532925199433],
+#>             ID["EPSG",8802]],
+#>         PARAMETER["Scale factor at natural origin",0.9996,
+#>             SCALEUNIT["unity",1],
+#>             ID["EPSG",8805]],
+#>         PARAMETER["False easting",500000,
+#>             LENGTHUNIT["metre",1],
+#>             ID["EPSG",8806]],
+#>         PARAMETER["False northing",0,
+#>             LENGTHUNIT["metre",1],
+#>             ID["EPSG",8807]]],
+#>     CS[Cartesian,2],
+#>         AXIS["(E)",east,
+#>             ORDER[1],
+#>             LENGTHUNIT["metre",1]],
+#>         AXIS["(N)",north,
+#>             ORDER[2],
+#>             LENGTHUNIT["metre",1]],
+#>     USAGE[
+#>         SCOPE["Engineering survey, topographic mapping."],
+#>         AREA["Between 12degreesW and 6degreesW, northern hemisphere between equator and 84degreesN, onshore and offshore. Algeria. Cote D'Ivoire (Ivory Coast). Faroe Islands. Guinea. Ireland. Jan Mayen. Mali. Mauritania. Morocco. Portugal. Sierra Leone. Spain. United Kingdom (UK). Western Sahara."],
+#>         BBOX[0,-12,84,-6]],
+#>     ID["EPSG",32629]] 
+# Compare the classes of the two objects
+class(dat_coast); class(dat_sea)
+#> [1] "SpatialPolygonsDataFrame"
+#> attr(,"package")
+#> [1] "sp"
+#> [1] "SpatialPolygons"
+#> attr(,"package")
+#> [1] "sp"
+
    +
    +
    - - - + + diff --git a/docs/reference/kud_around_coastline-1.png b/docs/reference/kud_around_coastline-1.png index be42707..cacb98d 100644 Binary files a/docs/reference/kud_around_coastline-1.png and b/docs/reference/kud_around_coastline-1.png differ diff --git a/docs/reference/kud_around_coastline-2.png b/docs/reference/kud_around_coastline-2.png index 32d8961..2497981 100644 Binary files a/docs/reference/kud_around_coastline-2.png and b/docs/reference/kud_around_coastline-2.png differ diff --git a/docs/reference/kud_around_coastline-3.png b/docs/reference/kud_around_coastline-3.png index a6959fa..5316744 100644 Binary files a/docs/reference/kud_around_coastline-3.png and b/docs/reference/kud_around_coastline-3.png differ diff --git a/docs/reference/kud_around_coastline-4.png b/docs/reference/kud_around_coastline-4.png index 7e529c2..a86e1fa 100644 Binary files a/docs/reference/kud_around_coastline-4.png and b/docs/reference/kud_around_coastline-4.png differ diff --git a/docs/reference/kud_around_coastline.html b/docs/reference/kud_around_coastline.html index bc6692a..b2b407c 100644 --- a/docs/reference/kud_around_coastline.html +++ b/docs/reference/kud_around_coastline.html @@ -1,67 +1,12 @@ - - - - - - - -Process a kernel utilisation distribution around a barrier — kud_around_coastline • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Process a kernel utilisation distribution around a barrier — kud_around_coastline • flapper - - - - + + -
    -
    - -
    - -
    +

    Process a kernel utilisation distribution around a barrier

    - Source: R/kud_tools.R + Source: R/kud_tools.R
    -

    Given an animal movement path over a gridded surface, kud_around_coastline estimates a `raw' kernel utilisation distribution (from kernelUD) and then processes the distribution to account for barriers to movement, such as coastline. kud_around_coastline_fast is a bare-bones implementation of this function for iterative applications. To implement these functions, the movement path(s) should be supplied as a SpatialPointsDataFrame and the grid over which estimation is implemented as a SpatialPixelsDataFrame with values 0 and 1 defining unsuitable and suitable habitat respectively.

    +

    Given an animal movement path over a gridded surface, kud_around_coastline estimates a `raw' kernel utilisation distribution (from kernelUD) and then processes the distribution to account for barriers to movement, such as coastline. kud_around_coastline_fast is a bare-bones implementation of this function for iterative applications. To implement these functions, the movement path(s) should be supplied as a SpatialPointsDataFrame and the grid over which estimation is implemented as a SpatialPixelsDataFrame with values 0 and 1 defining unsuitable and suitable habitat respectively.

    - 
    kud_around_coastline(xy, grid, ...)
-
-kud_around_coastline_fast(xy, grid, ...)
    - -

    Arguments

    - - - - - - - - - - - - - - -
    xy

    A SpatialPointsDataFrame object that defines the movement path(s). This should contain a column that defines the individual ID(s) as a factor. kud_around_coastline_fast can only handle one individual.

    grid

    A SpatialPixelsDataFrame object that defines the grid over which estimation is implemented and binary habitat suitability (0, unsuitable; or 1, suitable).

    ...

    Additional arguments passed to kernelUD.

    - -

    Source

    +
    + 
    kud_around_coastline(xy, grid, ...)
+
+kud_around_coastline_fast(xy, grid, ...)
    +
    +
    +

    Source

    This forum is a useful resource: http://r-sig-geo.2731867.n2.nabble.com/Walruses-and-adehabitatHR-class-estUDm-exclusion-of-non-habitat-pixels-and-summary-over-all-animals-td6497315.html.

    -

    Value

    +
    +
    +

    Arguments

    +
    xy
    +

    A SpatialPointsDataFrame object that defines the movement path(s). This should contain a column that defines the individual ID(s) as a factor. kud_around_coastline_fast can only handle one individual.

    - -
      -

    • kud_around_coastline returns an object of class `estUDm'. This is a list, with one component per animal, of estUD-class objects. The `h' slot of the output (output@h) has been modified so that the method (`meth') is given as `specified'.

      • -

    • kud_around_coastline_fast returns an object of class `RasterLayer'.

      • -
    -

    Details

    +
    grid
    +

    A SpatialPixelsDataFrame object that defines the grid over which estimation is implemented and binary habitat suitability (0, unsuitable; or 1, suitable).

    -

    Utilisation distributions (UDs) are bivariate probability distributions that describe the probability (density) of locating an individual in any given area at a randomly chosen time. These can be estimated using the kernelUD function. The algorithms implemented by kernelUD function can incorporate simple barriers, but restrictions on the shapes of barriers mean that in many real-world settings (e.g., in areas with complex coastline) barriers cannot be implemented. As a result, a pragmatic (if somewhat unsatisfactory) approach is to post-process the raw utilisation distribution by removing areas in which movement is impossible and then re-normalise the distribution (so that probabilities sum to one). These functions achieve this by implementing the estimation over a grid, which defines whether (1) or not (0) an area is `habitat'. After the estimation of the raw UD across the grid, probability density scores are combined (multiplied) with the habitat suitability score (0, 1) and then renormalised (by dividing by the total score across suitable areas).

    -

    To implement these routines, kud_around_coastline is typically the preferable option. kud_around_coastline is a bare-bones implementation of the routines within kud_around_coastline that has is designed to be (marginally) faster (e.g., for iterative applications). This function skips checks on user inputs, assuming that xy and grid have been correctly specified (as a SpatialPointsDataFrame for a specific individual and a SpatialPixelsDataFrame respectively), implements the estimation and returns a raster rather than an `estUDm' object (see Value).

    -

    Author

    -

    Edward Lavender

    +
    ...
    +

    Additional arguments passed to kernelUD.

    -

    Examples

    - 
    #### Set up
-## (1) Simulate path for which to compute UD
-# Focus on a sample of the marine environment off Oban, West Scotland
-sea <- invert_poly(dat_coast)
-sea <- raster::crop(sea, update_extent(raster::extent(sea), x_shift = -2500))
-prettyGraphics::pretty_map(add_polys = list(x = sea, col = "skyblue"))
-
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    # Simulate path
-n <- 1000
-path_ls <- sim_path_sa(n = n,
-                       area = sea,
-                       sim_step = function(...) stats::rgamma(1, shape = 20, scale = 20),
-                       seed = 1,
-                       plot = FALSE
-                       )
-
    #> flapper::sim_path_sa() called (@ 2022-06-17 10:04:31)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> 
  |                                                                            
  |                                                                      |   0%
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> 
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  |======================================================================| 100%... flapper::sim_path_sa() call completed (@ 2022-06-17 10:04:33) after ~0.04 minutes. 
    prettyGraphics::add_sp_path(path_ls$xy_mat,
-                            col = viridis::viridis(n),
-                            length = 0.02)
-
    ## (2) Define path as a SpatialPointsDataFrame (SpatialPoints is not allowed)
-path <- sp::SpatialPointsDataFrame(
-  path_ls$xy_mat,
-  data = data.frame(ID = factor(rep(1, nrow(path_ls$xy_mat)))),
-                    proj4string = raster::crs(dat_coast))
-## (3) Define grid over which to implement estimation
-# ... The grid needs to be sufficiently small to capture the coastline
-# ... reasonably while being large enough to enable calculation
-# ... of the home range.
-r <- raster::raster(raster::extent(dat_coast), nrows = 100, ncols = 100)
-raster::values(r) <- 0
-r <- raster::mask(r, dat_coast, updatevalue = 1)
-habitat <- methods::as(r, "SpatialPixelsDataFrame")
-sp::plot(habitat)
-
    
-#### Example (1) Implement estimation and processing
-## Estimate raw UD
-ud_raw <- adehabitatHR::kernelUD(xy = path, grid = habitat)
-
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    # Object is of class estUDm, which is a list of estUD objects
-# The outputs for each animal can be accessed by indexing
-ud_raw[[1]]
-
    #> ********** Utilization distribution of an Animal ************
-#> 
-#> Type: probability density
-#> Smoothing parameter estimated with a  href parameter
-#> This object inherits from the class SpatialPixelsDataFrame.
-#> See estUD-class for more information
-#> 
    # Check smoothing parameters
-ud_raw[[1]]@h
-
    #> $h
-#> [1] 632.7372
-#> 
-#> $meth
-#> [1] "href"
-#> 
    ## Estimate raw UD and post-process
-ud_pro <- kud_around_coastline(xy = path, grid = habitat)
-
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    # The same type of object is returned
-ud_pro[[1]]
-
    #> ********** Utilization distribution of an Animal ************
-#> 
-#> Type: probability density
-#> Smoothing parameter estimated with a  specified parameter
-#> This object inherits from the class SpatialPixelsDataFrame.
-#> See estUD-class for more information
-#> 
    # Smoothing parameters have been modified
-ud_pro[[1]]@h
-
    #> $h
-#> [1] 0
-#> 
-#> $meth
-#> [1] "specified"
-#> 
    ## Compare plots
-# ... Notice that the processed version doesn't 'bleed' onto land
-# ... and the scale differs due to the re-normalisation
-ud_raw_r <- raster::raster(ud_raw[[1]])
-ud_pro_r <- raster::raster(ud_pro[[1]])
-pp <- graphics::par(mfrow = c(1, 2))
-prettyGraphics::pretty_map(add_rasters = list(x = ud_raw_r),
-                           add_polys = list(x = dat_coast),
-                           add_paths = list(x = path,
-                                            col = viridis::viridis(n),
-                                            lwd = 0.25,
-                                            length = 0.02)
-                           )
-
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    prettyGraphics::pretty_map(add_rasters = list(x = ud_pro_r),
-                           add_polys = list(x = dat_coast),
-                           add_paths = list(x = path,
-                                            col = viridis::viridis(n),
-                                            lwd = 0.25,
-                                            length = 0.02)
-                           )
-
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    graphics::par(pp)
+
    +
    +

    Value

    + -#### Further analysis can be implemented as usual -# For example we can compute the home range contours from the UD -# ... using adehabitatHR::getvolumeUD(). In practice, this converts from the -# ... probability density scale to a more intuitive % home range scale. -# Get volume -vol_raw <- adehabitatHR::getvolumeUD(ud_raw, standardize = TRUE) -
    #> Warning: CRS object has comment, which is lost in output; in tests, see -#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    vol_pro <- adehabitatHR::getvolumeUD(ud_pro, standardize = TRUE) -
    #> Warning: CRS object has comment, which is lost in output; in tests, see -#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    # Get contours -ver_raw <- adehabitatHR::getverticeshr(ud_raw[[1]], standardize = TRUE) -
    #> Warning: CRS object has comment, which is lost in output; in tests, see -#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see -#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    ver_pro <- adehabitatHR::getverticeshr(ud_pro[[1]], standardize = TRUE) -
    #> Warning: CRS object has comment, which is lost in output; in tests, see -#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> Warning: CRS object has comment, which is lost in output; in tests, see -#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    # Rasterise -vol_raw_r <- raster::raster(vol_raw[[1]]) -vol_pro_r <- raster::raster(vol_pro[[1]]) -# For neatness on the plot, it is convenient to exclude areas beyond 95 % -vol_raw_r[vol_raw_r[] > 95] <- NA -vol_pro_r[vol_pro_r[] > 95] <- NA -# Plot -pp <- graphics::par(mfrow = c(1, 2)) -prettyGraphics::pretty_map(add_rasters = list(x = vol_raw_r), - add_polys = list(list(x = dat_coast), - list(x = ver_raw, - border = "blue", - lwd = 2)), - add_paths = list(x = path, - col = viridis::viridis(n), - lwd = 0.25, - length = 0.02) - ) -
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    prettyGraphics::pretty_map(add_rasters = list(x = vol_pro_r), - add_polys = list(list(x = dat_coast), - list(x = ver_pro, - border = "blue", - lwd = 2)), - add_paths = list(x = path, - col = viridis::viridis(n), - lwd = 0.25, - length = 0.02) - ) -
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    graphics::par(pp) +

    • kud_around_coastline returns an object of class `estUDm'. This is a list, with one component per animal, of estUD-class objects. The `h' slot of the output (output@h) has been modified so that the method (`meth') is given as `specified'.

      • +

    • kud_around_coastline_fast returns an object of class `RasterLayer'.

      • +
    +
    +

    Details

    +

    Utilisation distributions (UDs) are bivariate probability distributions that describe the probability (density) of locating an individual in any given area at a randomly chosen time. These can be estimated using the kernelUD function. The algorithms implemented by kernelUD function can incorporate simple barriers, but restrictions on the shapes of barriers mean that in many real-world settings (e.g., in areas with complex coastline) barriers cannot be implemented. As a result, a pragmatic (if somewhat unsatisfactory) approach is to post-process the raw utilisation distribution by removing areas in which movement is impossible and then re-normalise the distribution (so that probabilities sum to one). These functions achieve this by implementing the estimation over a grid, which defines whether (1) or not (0) an area is `habitat'. After the estimation of the raw UD across the grid, probability density scores are combined (multiplied) with the habitat suitability score (0, 1) and then renormalised (by dividing by the total score across suitable areas).

    +

    To implement these routines, kud_around_coastline is typically the preferable option. kud_around_coastline is a bare-bones implementation of the routines within kud_around_coastline that has is designed to be (marginally) faster (e.g., for iterative applications). This function skips checks on user inputs, assuming that xy and grid have been correctly specified (as a SpatialPointsDataFrame for a specific individual and a SpatialPixelsDataFrame respectively), implements the estimation and returns a raster rather than an `estUDm' object (see Value).

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    -
    +
    +

    Examples

    + 
    #### Set up
+## (1) Simulate path for which to compute UD
+# Focus on a sample of the marine environment off Oban, West Scotland
+sea <- invert_poly(dat_coast)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+sea <- raster::crop(sea, update_extent(raster::extent(sea), x_shift = -2500))
+prettyGraphics::pretty_map(add_polys = list(x = sea, col = "skyblue"))
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+# Simulate path
+n <- 1000
+path_ls <- sim_path_sa(n = n,
+                       area = sea,
+                       sim_step = function(...) stats::rgamma(1, shape = 20, scale = 20),
+                       seed = 1,
+                       plot = FALSE
+                       )
+#> flapper::sim_path_sa() called (@ 2023-02-19 15:00:04)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> 
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  |======================================================================| 100%... flapper::sim_path_sa() call completed (@ 2023-02-19 15:00:05) after ~0.02 minutes. 
+prettyGraphics::add_sp_path(path_ls$xy_mat,
+                            col = viridis::viridis(n),
+                            length = 0.02)
+
+## (2) Define path as a SpatialPointsDataFrame (SpatialPoints is not allowed)
+path <- sp::SpatialPointsDataFrame(
+  path_ls$xy_mat,
+  data = data.frame(ID = factor(rep(1, nrow(path_ls$xy_mat)))),
+                    proj4string = raster::crs(dat_coast))
+## (3) Define grid over which to implement estimation
+# ... The grid needs to be sufficiently small to capture the coastline
+# ... reasonably while being large enough to enable calculation
+# ... of the home range.
+r <- raster::raster(raster::extent(dat_coast), nrows = 100, ncols = 100)
+raster::values(r) <- 0
+r <- raster::mask(r, dat_coast, updatevalue = 1)
+habitat <- methods::as(r, "SpatialPixelsDataFrame")
+sp::plot(habitat)
+
+
+#### Example (1) Implement estimation and processing
+## Estimate raw UD
+ud_raw <- adehabitatHR::kernelUD(xy = path, grid = habitat)
+# Object is of class estUDm, which is a list of estUD objects
+# The outputs for each animal can be accessed by indexing
+ud_raw[[1]]
+#> Object of class "SpatialPixelsDataFrame" (package sp):
+#> 
+#> Grid parameters:
+#>      cellcentre.offset cellsize cells.dim
+#> Var2          697711.7 148.1125       100
+#> Var1         6248737.3 220.5348       100
+#> 
+#> Variables measured:
+#>   ud
+#> 1  0
+#> 2  0
+#> 3  0
+#> 4  0
+#> 5  0
+#> 6  0
+#> ...
+#> 
+# Check smoothing parameters
+ud_raw[[1]]@h
+#> $h
+#> [1] 632.7372
+#> 
+#> $meth
+#> [1] "href"
+#> 
+## Estimate raw UD and post-process
+ud_pro <- kud_around_coastline(xy = path, grid = habitat)
+# The same type of object is returned
+ud_pro[[1]]
+#> Object of class "SpatialPixelsDataFrame" (package sp):
+#> 
+#> Grid parameters:
+#>      cellcentre.offset cellsize cells.dim
+#> Var2          697711.7 148.1125       100
+#> Var1         6248737.3 220.5348       100
+#> 
+#> Variables measured:
+#>             ud
+#> 1 0.000000e+00
+#> 2 0.000000e+00
+#> 3 0.000000e+00
+#> 4 0.000000e+00
+#> 5 0.000000e+00
+#> 6 2.610702e-12
+#> ...
+#> 
+# Smoothing parameters have been modified
+ud_pro[[1]]@h
+#> $h
+#> [1] 0
+#> 
+#> $meth
+#> [1] "specified"
+#> 
+## Compare plots
+# ... Notice that the processed version doesn't 'bleed' onto land
+# ... and the scale differs due to the re-normalisation
+ud_raw_r <- raster::raster(ud_raw[[1]])
+ud_pro_r <- raster::raster(ud_pro[[1]])
+pp <- graphics::par(mfrow = c(1, 2))
+prettyGraphics::pretty_map(add_rasters = list(x = ud_raw_r),
+                           add_polys = list(x = dat_coast),
+                           add_paths = list(x = path,
+                                            col = viridis::viridis(n),
+                                            lwd = 0.25,
+                                            length = 0.02)
+                           )
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+prettyGraphics::pretty_map(add_rasters = list(x = ud_pro_r),
+                           add_polys = list(x = dat_coast),
+                           add_paths = list(x = path,
+                                            col = viridis::viridis(n),
+                                            lwd = 0.25,
+                                            length = 0.02)
+                           )
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+
+graphics::par(pp)
+
+#### Further analysis can be implemented as usual
+# For example we can compute the home range contours from the UD
+# ... using adehabitatHR::getvolumeUD(). In practice, this converts from the
+# ... probability density scale to a more intuitive % home range scale.
+# Get volume
+vol_raw <- adehabitatHR::getvolumeUD(ud_raw, standardize = TRUE)
+vol_pro <- adehabitatHR::getvolumeUD(ud_pro, standardize = TRUE)
+# Get contours
+ver_raw <- adehabitatHR::getverticeshr(ud_raw[[1]], standardize = TRUE)
+ver_pro <- adehabitatHR::getverticeshr(ud_pro[[1]], standardize = TRUE)
+# Rasterise
+vol_raw_r <- raster::raster(vol_raw[[1]])
+vol_pro_r <- raster::raster(vol_pro[[1]])
+# For neatness on the plot, it is convenient to exclude areas beyond 95 %
+vol_raw_r[vol_raw_r[] > 95] <- NA
+vol_pro_r[vol_pro_r[] > 95] <- NA
+# Plot
+pp <- graphics::par(mfrow = c(1, 2))
+prettyGraphics::pretty_map(add_rasters = list(x = vol_raw_r),
+                           add_polys = list(list(x = dat_coast),
+                                            list(x = ver_raw,
+                                                 border = "blue",
+                                                 lwd = 2)),
+                           add_paths = list(x = path,
+                                            col = viridis::viridis(n),
+                                            lwd = 0.25,
+                                            length = 0.02)
+                           )
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+prettyGraphics::pretty_map(add_rasters = list(x = vol_pro_r),
+                           add_polys = list(list(x = dat_coast),
+                                            list(x = ver_pro,
+                                                 border = "blue",
+                                                 lwd = 2)),
+                           add_paths = list(x = path,
+                                            col = viridis::viridis(n),
+                                            lwd = 0.25,
+                                            length = 0.02)
+                           )
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+
+graphics::par(pp)
+
+
    +
    +
    - - - + + diff --git a/docs/reference/kud_habitat-1.png b/docs/reference/kud_habitat-1.png index 7dbe333..94c458d 100644 Binary files a/docs/reference/kud_habitat-1.png and b/docs/reference/kud_habitat-1.png differ diff --git a/docs/reference/kud_habitat-2.png b/docs/reference/kud_habitat-2.png index d0e8536..9061786 100644 Binary files a/docs/reference/kud_habitat-2.png and b/docs/reference/kud_habitat-2.png differ diff --git a/docs/reference/kud_habitat.html b/docs/reference/kud_habitat.html index c787d0d..f0251ea 100644 --- a/docs/reference/kud_habitat.html +++ b/docs/reference/kud_habitat.html @@ -1,67 +1,12 @@ - - - - - - - -Define a `habitat' grid for kernel smoothing — kud_habitat • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Define a `habitat' grid for kernel smoothing — kud_habitat • flapper - - + + - - -
    -
    - -
    - -
    +

    Define a `habitat' grid for kernel smoothing

    - Source: R/kud_tools.R + Source: R/kud_tools.R
    -

    This function defines a `habitat' grid for kernel smoothing (e.g., via kud_around_coastline).

    +

    This function defines a `habitat' grid for kernel smoothing (e.g., via kud_around_coastline).

    +
    + +
    + 
    kud_habitat(map, mask = map, mask_inside = FALSE, plot = TRUE, ...)
    - 
    kud_habitat(map, mask = map, mask_inside = FALSE, plot = TRUE, ...)
    - -

    Arguments

    - - - - - - - - - - - - - - -
    map

    A raster that defines grid properties.

    mask, mask_inside

    Mask options passed to mask_io.

    plot, ...

    A logical input that defines whether or not to plot the habitat grid, alongside any additional arguments passed to plot.SpatialPixelsDataFrame.

    - -

    Value

    - -

    The function returns a SpatialPixelsDataFrame object that defines `habitat' (1) versus `non-habitat' (0).

    -

    See also

    - -

    kud_around_coastline

    -

    Author

    +
    +

    Arguments

    +
    map
    +

    A raster that defines grid properties.

    + +
    mask, mask_inside
    +

    Mask options passed to mask_io.

    + + +
    plot, ...
    +

    A logical input that defines whether or not to plot the habitat grid, alongside any additional arguments passed to plot.SpatialPixelsDataFrame.

    + +
    +
    +

    Value

    + + +

    The function returns a SpatialPixelsDataFrame object that defines `habitat' (1) versus `non-habitat' (0).

    +
    +
    +

    See also

    +

    kud_around_coastline

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    kud_habitat(map = dat_gebco, mask_inside = FALSE)
-
    #> Object of class "SpatialPixelsDataFrame" (package sp):
-#> 
-#> Grid parameters:
-#>    cellcentre.offset cellsize cells.dim
-#> s1          695620.6      257        74
-#> s2         6246888.4      463        57
-#> 
-#> Variables measured:
-#>   layer
-#> 1     0
-#> 2     0
-#> 3     0
-#> 4     0
-#> 5     0
-#> 6     0
-#> ...
-#> 
    kud_habitat(map = dat_gebco, mask = dat_coast, mask_inside = TRUE)
-
    #> Object of class "SpatialPixelsDataFrame" (package sp):
-#> 
-#> Grid parameters:
-#>    cellcentre.offset cellsize cells.dim
-#> s1          695620.6      257        74
-#> s2         6246888.4      463        57
-#> 
-#> Variables measured:
-#>   layer
-#> 1     1
-#> 2     1
-#> 3     1
-#> 4     1
-#> 5     1
-#> 6     1
-#> ...
-#>
    +
    +

    Examples

    + 
    kud_habitat(map = dat_gebco, mask_inside = FALSE)
+
+#> Object of class "SpatialPixelsDataFrame" (package sp):
+#> 
+#> Grid parameters:
+#>    cellcentre.offset cellsize cells.dim
+#> s1          695620.6      257        74
+#> s2         6246888.4      463        57
+#> 
+#> Variables measured:
+#>   layer
+#> 1     0
+#> 2     0
+#> 3     0
+#> 4     0
+#> 5     0
+#> 6     0
+#> ...
+#> 
+kud_habitat(map = dat_gebco, mask = dat_coast, mask_inside = TRUE)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+
+#> Object of class "SpatialPixelsDataFrame" (package sp):
+#> 
+#> Grid parameters:
+#>    cellcentre.offset cellsize cells.dim
+#> s1          695620.6      257        74
+#> s2         6246888.4      463        57
+#> 
+#> Variables measured:
+#>   layer
+#> 1     1
+#> 2     1
+#> 3     1
+#> 4     1
+#> 5     1
+#> 6     1
+#> ...
+#> 
+
    +
    +
    -
    - - + + diff --git a/docs/reference/lcp_comp-1.png b/docs/reference/lcp_comp-1.png index 4ec39fc..ae27e42 100644 Binary files a/docs/reference/lcp_comp-1.png and b/docs/reference/lcp_comp-1.png differ diff --git a/docs/reference/lcp_comp-2.png b/docs/reference/lcp_comp-2.png index 26e4f02..9d92824 100644 Binary files a/docs/reference/lcp_comp-2.png and b/docs/reference/lcp_comp-2.png differ diff --git a/docs/reference/lcp_comp-3.png b/docs/reference/lcp_comp-3.png index 408943e..b938158 100644 Binary files a/docs/reference/lcp_comp-3.png and b/docs/reference/lcp_comp-3.png differ diff --git a/docs/reference/lcp_comp-4.png b/docs/reference/lcp_comp-4.png index fcb7f5e..f0225b9 100644 Binary files a/docs/reference/lcp_comp-4.png and b/docs/reference/lcp_comp-4.png differ diff --git a/docs/reference/lcp_comp-5.png b/docs/reference/lcp_comp-5.png index a7ed89a..ed83f42 100644 Binary files a/docs/reference/lcp_comp-5.png and b/docs/reference/lcp_comp-5.png differ diff --git a/docs/reference/lcp_comp-6.png b/docs/reference/lcp_comp-6.png index 74ceb2f..ffe4cf3 100644 Binary files a/docs/reference/lcp_comp-6.png and b/docs/reference/lcp_comp-6.png differ diff --git a/docs/reference/lcp_comp.html b/docs/reference/lcp_comp.html index 1c1cafe..b4837ca 100644 --- a/docs/reference/lcp_comp.html +++ b/docs/reference/lcp_comp.html @@ -1,67 +1,12 @@ - - - - - - - -Compare Euclidean and shortest distances — lcp_comp • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Compare Euclidean and shortest distances — lcp_comp • flapper - + + - - - -
    -
    - -
    - -
    +

    Compare Euclidean and shortest distances

    - Source: R/lcps.R + Source: R/lcps.R
    -

    This function compares Euclidean distances to shortest distances for randomly sampled pairs of points across a raster.

    +

    This function compares Euclidean distances to shortest distances for randomly sampled pairs of points across a raster.

    - 
    lcp_comp(
-  surface,
-  barrier = NULL,
-  distance = NULL,
-  interval = raster::res(surface)[1],
-  mobility = NULL,
-  n = 10L,
-  n_max = n,
-  graph = NULL,
-  ...,
-  cl = NULL,
-  varlist = NULL,
-  verbose = TRUE
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    surface

    A raster from which to sample locations and calculate distances. The surface must be planar with units of metres in x, y and z directions. The resolution must be the same in both x and y directions (see lcp_over_surface). If applicable, the surface should be masked by barrier (see mask_io) prior to implementation of this function.

    barrier

    (optional) A simple features geometry that defines a barrier (see segments_cross_barrier). If supplied, the function determines whether or not each sampled pair of coordinates crosses the barrier.

    distance

    A numeric vector of distances. If supplied, for each distance, n location pairs that are that approximately that distance apart (see interval) are sampled and, for each pair, Euclidean and shortest distances are calculated. If supplied, mobility should not be supplied (see below).

    interval

    If distance is supplied, interval is a number that defines the range of distances around each distance that are admissible. For example, if distance = 50 (m) and interval = 5, n location pairs that are within 45--55 m of each other are sampled.

    mobility

    (optional) A number that defines the maximum distance between sampled locations. If supplied, n locations are sampled; the Euclidean distances between all combinations of locations are calculated; and for the location pairs for which the Euclidean distance is less than mobility (up to a maximum of n_max pairs), shortest distances are calculated. This method is potentially fast the distance-vector-based method that is implemented is distance is supplied, but the final number of locations cannot be predetermined. If supplied, distance should not be supplied (see above).

    n

    An integer that defines (a) the number of location pairs for each distance or (b) the initial number of sampled locations if mobility is supplied.

    n_max

    If mobility is supplied, n_max is an integer that defines the maximum number of location pairs for which shortest distances are calculated.

    graph

    (optional) A graph object that defines cell nodes and edge costs for connected cells within the surface (see lcp_graph_surface). This is used for shortest-distance calculations.

    ...

    Additional arguments passed to get_distance_pair for shortest-distance calculations (algorithm, constant and/or allcores).

    cl, varlist

    (optional) Parallelisation options for distance-based location sampling (i.e., if distance != NULL). cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    verbose

    A logical input that defines whether or not to print messages to the console to monitor function progress.

    - -

    Value

    - -

    The function returns a dataframe with sampled location pairs and the Euclidean and shortest distances between them. This contains the following columns:

      -

    • index -- A number that defines the row.

      • +
      + 
      lcp_comp(
+  surface,
+  barrier = NULL,
+  distance = NULL,
+  interval = raster::res(surface)[1],
+  mobility = NULL,
+  n = 10L,
+  n_max = n,
+  graph = NULL,
+  ...,
+  cl = NULL,
+  varlist = NULL,
+  verbose = TRUE
+)
      +
      + +
      +

      Arguments

      +
      surface
      +

      A raster from which to sample locations and calculate distances. The surface must be planar with units of metres in x, y and z directions. The resolution must be the same in both x and y directions (see lcp_over_surface). If applicable, the surface should be masked by barrier (see mask_io) prior to implementation of this function.

      + + +
      barrier
      +

      (optional) A simple features geometry that defines a barrier (see segments_cross_barrier). If supplied, the function determines whether or not each sampled pair of coordinates crosses the barrier.

      + + +
      distance
      +

      A numeric vector of distances. If supplied, for each distance, n location pairs that are that approximately that distance apart (see interval) are sampled and, for each pair, Euclidean and shortest distances are calculated. If supplied, mobility should not be supplied (see below).

      + + +
      interval
      +

      If distance is supplied, interval is a number that defines the range of distances around each distance that are admissible. For example, if distance = 50 (m) and interval = 5, n location pairs that are within 45--55 m of each other are sampled.

      + + +
      mobility
      +

      (optional) A number that defines the maximum distance between sampled locations. If supplied, n locations are sampled; the Euclidean distances between all combinations of locations are calculated; and for the location pairs for which the Euclidean distance is less than mobility (up to a maximum of n_max pairs), shortest distances are calculated. This method is potentially fast the distance-vector-based method that is implemented is distance is supplied, but the final number of locations cannot be predetermined. If supplied, distance should not be supplied (see above).

      + + +
      n
      +

      An integer that defines (a) the number of location pairs for each distance or (b) the initial number of sampled locations if mobility is supplied.

      + + +
      n_max
      +

      If mobility is supplied, n_max is an integer that defines the maximum number of location pairs for which shortest distances are calculated.

      + + +
      graph
      +

      (optional) A graph object that defines cell nodes and edge costs for connected cells within the surface (see lcp_graph_surface). This is used for shortest-distance calculations.

      + + +
      ...
      +

      Additional arguments passed to get_distance_pair for shortest-distance calculations (algorithm, constant and/or allcores).

      + + +
      cl, varlist
      +

      (optional) Parallelisation options for distance-based location sampling (i.e., if distance != NULL). cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

      + + +
      verbose
      +

      A logical input that defines whether or not to print messages to the console to monitor function progress.

      + +
      +
      +

      Value

      + + +

      The function returns a dataframe with sampled location pairs and the Euclidean and shortest distances between them. This contains the following columns:

      • index -- A number that defines the row.

      • id -- If distance is specified, id is number that defines the sample (from 1:n for each distance).

      • cell_x0, cell_y0, cell_x1, cell_y1 -- Numbers that define the coordinates of sampled locations.

      • cell_id0, cell_id1 -- Integers that define the cell IDs for sampled locations.

        • @@ -198,245 +140,268 @@

        Value

      • dist_euclid -- A number that defines the Euclidean distance from (cell_x0, cell_y0) to (cell_x1, cell_y1).

      • dist_lcp -- A number that defines the shortest distance from (cell_x0, cell_y0) to (cell_x1, cell_y1).

      • barrier -- If applicable, barrier is factor that defines whether ("1") or not ("0") the Euclidean line connecting (cell_x0, cell_y0) and (cell_x1, cell_y1) crosses the barrier.

        • -
      - -

      Details

      - +
    +
    +

    Details

    This function was motivated by the need to determine the extent to which Euclidean distances are a suitable approximation of shortest distances in movement models for benthic animals.

    -

    To address this issue, this function samples multiple pairs of points on a raster (surface) and compares the Euclidean and shortest distances between sampled locations.

    +

    To address this issue, this function samples multiple pairs of points on a raster (surface) and compares the Euclidean and shortest distances between sampled locations.

    Two sampling methods are implemented. The first method (implemented if distance is supplied), samples n pairs of points for each distance that are approximately that distance apart. (Sampling across a grid is approximate because grid resolution is finite. The approximation is controlled by the interval parameter.) The advantage of this method is that the number of sampled location pairs for which Euclidean and shortest distances are compared is predetermined (by n), but the method can be slow if n is large. The second method (implemented if mobility is supplied), simply samples n locations and calculates the Euclidean distances between all combinations of sampled locations. Any location pairs that are more than mobility apart are then dropped and for the remaining location pairs (up to a maximum of n_max randomly sampled pairs) shortest distances are calculated. A potential advantage of this method is speed, but the number of location pairs below mobility for which Euclidean and shortest distances can be compared is not predetermined.

    -

    Regardless of sampling method, the expectation for the analysis is that at short Euclidean distances, Euclidean distances are likely to approximate shortest distances well (unless there is a barrier, such as the coastline, in the way). At longer Euclidean distances, shortest distances are likely to become much longer than Euclidean distances. For some movement frameworks, especially the particle filtering (pf) and processing (pf_simplify) routines in flapper, the Euclidean distance at which the shortest distances start to exceed the distance that an animal could move (over some time interval of interest) is an important parameter (termed calc_distance_limit in pf_simplify). For sampled locations that are a Euclidean distance less than this threshold apart, it is reasonable to assume that there exists a `valid' shortest path over the surface, given the animal's mobility, without having to calculate that path; for sampled locations that are a Euclidean distance more than this threshold apart, this assumption is not valid. For areas with a clear-cut threshold, for Euclidean-based sampling frameworks (see pf), it may be reasonable to reduce the animal's mobility to the threshold value to account for this difference; in other cases, it may be necessary to compute shortest distances for potentially problematic locations. Either way, an understanding of the extent to which Euclidean distances effectively approximate shortest distances at spatial scales relevant to an animal can help to minimise the number of shortest-distance calculations that are required within a movement modelling framework (which are much more computationally demanding than Euclidean-based calculations).

    -

    Author

    - +

    Regardless of sampling method, the expectation for the analysis is that at short Euclidean distances, Euclidean distances are likely to approximate shortest distances well (unless there is a barrier, such as the coastline, in the way). At longer Euclidean distances, shortest distances are likely to become much longer than Euclidean distances. For some movement frameworks, especially the particle filtering (pf) and processing (pf_simplify) routines in flapper, the Euclidean distance at which the shortest distances start to exceed the distance that an animal could move (over some time interval of interest) is an important parameter (termed calc_distance_limit in pf_simplify). For sampled locations that are a Euclidean distance less than this threshold apart, it is reasonable to assume that there exists a `valid' shortest path over the surface, given the animal's mobility, without having to calculate that path; for sampled locations that are a Euclidean distance more than this threshold apart, this assumption is not valid. For areas with a clear-cut threshold, for Euclidean-based sampling frameworks (see pf), it may be reasonable to reduce the animal's mobility to the threshold value to account for this difference; in other cases, it may be necessary to compute shortest distances for potentially problematic locations. Either way, an understanding of the extent to which Euclidean distances effectively approximate shortest distances at spatial scales relevant to an animal can help to minimise the number of shortest-distance calculations that are required within a movement modelling framework (which are much more computationally demanding than Euclidean-based calculations).

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Load packages
-require(prettyGraphics)
-
    #> Loading required package: prettyGraphics
    #> 
-#> Attaching package: ‘prettyGraphics’
    #> The following object is masked from ‘package:flapper’:
-#> 
-#>     dat_gebco
    
-#### Define surface for examples
-# We will focus on a relatively small area for speed
-# The raster resolution should be equal in x and y directions
-bathy      <- flapper::dat_gebco
-boundaries <- raster::extent(700652.2, 708401.2, 6262905, 6270179)
-blank      <- raster::raster(boundaries, res = c(5, 5))
-bathy      <- raster::resample(bathy, blank)
-bathy      <- mask_io(bathy, flapper::dat_coast, mask_inside = TRUE)
-
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    # raster::plot(bathy)
-# raster::lines(dat_coast)
-
-#### Define barrier to movement
-coastline <- raster::crop(dat_coast, raster::extent(bathy))
-coastline <- sf::st_as_sf(coastline)
-
-#### Define graph for shortest-distance calculations
-bathy_costs <- lcp_costs(bathy)                                 # ~0.38 mins
-
    #> flapper::lcp_costs() called (@ 2022-06-17 10:04:37)... 
-#> ... Defining transition matrices... 
    #> Warning: transition function gives negative values
    #> ... Calculating distance matrices... 
-#> ... Assembling LCP costs... 
-#> ... flapper::lcp_costs() call completed (@ 2022-06-17 10:05:04) after ~0.46 minutes. 
    bathy_graph <- lcp_graph_surface(bathy, bathy_costs$dist_total) # ~0.26 mins
-
    #> flapper::lcp_graph_surface() called (@ 2022-06-17 10:05:04)... 
-#> ... Defining nodes, edges and costs to make graph... 
-#> ... Constructing graph object... 
-#> ... flapper::lcp_graph_surface() call completed (@ 2022-06-17 10:05:20) after ~0.26 minutes. 
    
-#### Example (1): Distance-vector-based implementation
-
-## Implement function
-out_1 <- lcp_comp(surface = bathy,
-                  distance = c(50, 100),
-                  graph = bathy_graph,
-                  barrier = coastline)
-
    #> flapper::lcp_comp() called (@ 2022-06-17 10:05:20)... 
-#> ... Defining parameters... 
-#> ... Sampling n location pairs for each distance value... 
-#> ... ... Sampling for distance = 50... 
-#> ... ... ... Sampling starting locations... 
-#> ... ... ... Sampling ending locations... 
-#> ... ... Sampling for distance = 100... 
-#> ... ... ... Sampling starting locations... 
-#> ... ... ... Sampling ending locations... 
-#> ... Processing samples... 
-#> ... Determining barrier overlaps... 
-#> ... Implementing shortest-distance calculations... 
-#> ... ... Calculating shortest-distances via cppRouting::get_distance_pair() for 20 location pair(s) ... 
    #> Running bidirectional Dijkstra...
    #> ... Cleaning results... 
-#> ... flapper::lcp_comp() call completed (@ 2022-06-17 10:05:32) after ~0.21 minutes. 
    
-## Examine outputs
-# The function returns a dataframe
-utils::str(out_1)
-
    #> 'data.frame':	20 obs. of  12 variables:
-#>  $ index      : int  1 2 3 4 5 6 7 8 9 10 ...
-#>  $ id         : int  1 2 3 4 5 6 7 8 9 10 ...
-#>  $ cell_x0    : num  705560 707865 701130 707390 708255 ...
-#>  $ cell_y0    : num  6263446 6268692 6267656 6267396 6266966 ...
-#>  $ cell_x1    : num  705545 707910 701180 707405 708210 ...
-#>  $ cell_y1    : num  6263496 6268702 6267642 6267442 6266956 ...
-#>  $ cell_id0   : num  2087282 461793 781296 863148 996621 ...
-#>  $ cell_id1   : num  2071779 458702 785956 849201 999712 ...
-#>  $ dist_sim   : num  50 50 50 50 50 50 50 50 50 50 ...
-#>  $ dist_euclid: num  52.2 46.1 52.2 47.4 46.1 ...
-#>  $ dist_lcp   : num  56.2 49.2 56.2 51.2 49.1 ...
-#>  $ barrier    : Factor w/ 2 levels "0","1": 1 1 1 1 1 1 1 1 1 1 ...
    
-## Visualise sampled locations on map
-raster::plot(bathy)
-
    raster::lines(dat_coast)
-
    invisible(lapply(split(out_1, seq_len(nrow(out_1))), function(d){
-  arrows(x0 = d$cell_x0, y0 = d$cell_y0,
-         x1 = d$cell_x1, y1 = d$cell_y1, length = 0.01, lwd = 2)
-}))
-
    
-## Compare simulated, Euclidean and shortest distances
-pp <- graphics::par(mfrow = c(1, 2))
-pretty_plot(out_1$dist_sim, out_1$dist_euclid,
-            xlab = "Distance (simulated) [m]",
-            ylab = "Distance (Euclidean)[m]")
-graphics::abline(0, 1)
-pretty_plot(out_1$dist_euclid, out_1$dist_lcp,
-            xlab = "Distance (Euclidean) [m]",
-            ylab = "Distance (shortest) [m]")
-
    graphics::abline(0, 1)
-
    graphics::par(pp)
-
-#### Example (2): Distance-vector-based implementation in parallel
-out_2 <- lcp_comp(surface = bathy,
-                  distance = c(50, 100),
-                  graph = bathy_graph,
-                  barrier = coastline,
-                  cl = parallel::makeCluster(2L)
-                  )
-
    #> flapper::lcp_comp() called (@ 2022-06-17 10:05:33)... 
-#> ... Defining parameters... 
-#> ... Sampling n location pairs for each distance value... 
-#> ... Processing samples... 
-#> ... Determining barrier overlaps... 
-#> ... Implementing shortest-distance calculations... 
-#> ... ... Calculating shortest-distances via cppRouting::get_distance_pair() for 20 location pair(s) ... 
    #> Running bidirectional Dijkstra...
    #> ... Cleaning results... 
-#> ... flapper::lcp_comp() call completed (@ 2022-06-17 10:05:52) after ~0.32 minutes. 
    
-#### Example (3): Mobility-based implementation
-
-## Implement function for mobility = 500
-mob <- 500
-out_3 <- lcp_comp(surface = bathy,
-                  mobility = mob,
-                  n = 1000,
-                  graph = bathy_graph,
-                  barrier = coastline
-                  )
-
    #> flapper::lcp_comp() called (@ 2022-06-17 10:05:52)... 
-#> ... Defining parameters... 
-#> ... Sampling n locations... 
-#> ... Calculating Euclidean distances between sampled locations... 
-#> ... Filtering by mobility... 
-#> ... Processing samples... 
-#> ... Determining barrier overlaps... 
-#> ... Implementing shortest-distance calculations... 
-#> ... ... Calculating shortest-distances via cppRouting::get_distance_pair() for 1000 location pair(s) ... 
    #> Running bidirectional Dijkstra...
    #> ... Cleaning results... 
-#> ... flapper::lcp_comp() call completed (@ 2022-06-17 10:05:57) after ~0.09 minutes. 
    
-## Visualise sampled locations on map
-raster::plot(bathy)
-
    raster::lines(dat_coast)
-
    invisible(lapply(split(out_3, seq_len(nrow(out_3))), function(d){
-  arrows(x0 = d$cell_x0, y0 = d$cell_y0,
-         x1 = d$cell_x1, y1 = d$cell_y1, length = 0.01, lwd = 0.5)
-}))
-
    
-## Compare Euclidean and shortest distances
-# Extract the data for the paths that do not versus do cross a barrier
-out_3_barrier0 <- out_3[out_3$barrier == 0, ]
-out_3_barrier1 <- out_3[out_3$barrier == 1, ]
-# Set up plotting window
-pp <- graphics::par(mfrow = c(1, 2), oma = c(3, 3, 3, 3), mar = c(4, 4, 4, 4))
-# Results for paths that do not cross a barrier
-# ... Visualisation
-pretty_plot(out_3_barrier0$dist_euclid, out_3_barrier0$dist_lcp,
-            xlab = "Distance (Euclidean) [m]",
-            ylab = "Distance (shortest) [m]",
-            pch = ".")
-graphics::abline(0, 1, col = "red")
-graphics::abline(h = mob, col = "royalblue", lty = 3)
-# ... Euclidean distance parameter at which mobility is exceeded
-limit0 <- min(out_3_barrier0$dist_euclid[out_3_barrier0$dist_lcp > mob]); limit0
-
    #> [1] 462.3851
    graphics::abline(v = limit0, col = "royalblue", lty = 3)
-# Results for paths that cross a barrier
-# ... Visualisation
-pretty_plot(out_3_barrier1$dist_euclid, out_3_barrier1$dist_lcp,
-           xlab = "Distance (Euclidean) [m]",
-           ylab = "Distance (shortest) [m]",
-           pch = ".")
-
    graphics::abline(0, 1, col = "red")
-
    graphics::abline(h = mob, col = "royalblue", lty = 3)
-
    # ... Euclidean distance parameter at which mobility is exceeded
-limit1 <-
-  min(out_3_barrier1$dist_euclid[out_3_barrier1$dist_lcp > mob]); limit1
-
    #> [1] 496.4121
    graphics::abline(v = limit1, col = "royalblue", lty = 3)
-
    graphics::par(pp)
-
-## Plot the difference between Euclidean and shortest distances with distance
-pp <- graphics::par(mfrow = c(1, 2), oma = c(3, 3, 3, 3), mar = c(4, 4, 4, 4))
-pretty_plot(out_3_barrier0$dist_euclid,
-            out_3_barrier0$dist_lcp - out_3_barrier0$dist_euclid,
-            xlab = "Distance (Euclidean) [m]",
-            ylab = "Distance (shortest - Euclidean) [m]",
-            pch = ".")
-pretty_plot(out_3_barrier1$dist_euclid,
-            out_3_barrier1$dist_lcp - out_3_barrier1$dist_euclid,
-            xlab = "Distance (Euclidean) [m]",
-            ylab = "Distance (shortest - Euclidean) [m]",
-            pch = ".")
-
    graphics::par(pp)
-
-## Approximate shortest distances using a model based on Euclidean distances
-# Fit model
-mod <- lm(dist_lcp ~ 0 + dist_euclid:barrier, data = out_3)
-# Examine model predictions
-x <- seq(0, 500)
-nd <- data.frame(barrier = factor(0, levels = c(0, 1)), dist_euclid = x)
-ci <- list_CIs(predict(mod, nd, se.fit = TRUE))
-pretty_plot(out_3$dist_euclid, out_3$dist_lcp,
-                            col = c("grey", "darkred")[out_3$barrier],
-                            cex = c(0.1, 1.5)[out_3$barrier])
-
    add_error_envelope(x, ci)
-
    nd$barrier <- factor(1, levels = c(0, 1))
-ci <- list_CIs(predict(mod, nd, se.fit = TRUE))
-add_error_envelope(x, ci,
-                   add_fit = list(col = "red"),
-                   add_ci = list(col = scales::alpha("red", 0.5),
-                                 border = FALSE))
-
    # Define predictive model based on this analysis
-lcp_predict <- function(x, m, barrier){
-  stopifnot(length(m) == 2L)
-  stopifnot(all(barrier %in% c(0, 1)))
-  return(m[1] * x * (barrier == 0) + m[2] * x * (barrier == 1))
-  }
-
-
    +
    +

    Examples

    + 
    #### Load packages
+require(prettyGraphics)
+#> Loading required package: prettyGraphics
+#> 
+#> Attaching package: ‘prettyGraphics’
+#> The following object is masked from ‘package:flapper’:
+#> 
+#>     dat_gebco
+
+#### Define surface for examples
+# We will focus on a relatively small area for speed
+# The raster resolution should be equal in x and y directions
+bathy      <- flapper::dat_gebco
+boundaries <- raster::extent(700652.2, 708401.2, 6262905, 6270179)
+blank      <- raster::raster(boundaries, res = c(5, 5))
+bathy      <- raster::resample(bathy, blank)
+bathy      <- mask_io(bathy, flapper::dat_coast, mask_inside = TRUE)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+# raster::plot(bathy)
+# raster::lines(dat_coast)
+
+#### Define barrier to movement
+coastline <- raster::crop(dat_coast, raster::extent(bathy))
+coastline <- sf::st_as_sf(coastline)
+
+#### Define graph for shortest-distance calculations
+bathy_costs <- lcp_costs(bathy)                                 # ~0.38 mins
+#> flapper::lcp_costs() called (@ 2023-02-19 15:00:11)... 
+#> ... Defining transition matrices... 
+#> Warning: transition function gives negative values
+#> ... Calculating distance matrices... 
+#> ... Assembling LCP costs... 
+#> ... flapper::lcp_costs() call completed (@ 2023-02-19 15:00:38) after ~0.45 minutes. 
+bathy_graph <- lcp_graph_surface(bathy, bathy_costs$dist_total) # ~0.26 mins
+#> flapper::lcp_graph_surface() called (@ 2023-02-19 15:00:38)... 
+#> ... Defining nodes, edges and costs to make graph... 
+#> ... Constructing graph object... 
+#> ... flapper::lcp_graph_surface() call completed (@ 2023-02-19 15:00:52) after ~0.24 minutes. 
+
+#### Example (1): Distance-vector-based implementation
+
+## Implement function
+out_1 <- lcp_comp(surface = bathy,
+                  distance = c(50, 100),
+                  graph = bathy_graph,
+                  barrier = coastline)
+#> flapper::lcp_comp() called (@ 2023-02-19 15:00:52)... 
+#> ... Defining parameters... 
+#> ... Sampling n location pairs for each distance value... 
+#> ... ... Sampling for distance = 50... 
+#> ... ... ... Sampling starting locations... 
+#> ... ... ... Sampling ending locations... 
+#> ... ... Sampling for distance = 100... 
+#> ... ... ... Sampling starting locations... 
+#> ... ... ... Sampling ending locations... 
+#> ... Processing samples... 
+#> ... Determining barrier overlaps... 
+#> ... Implementing shortest-distance calculations... 
+#> ... ... Calculating shortest-distances via cppRouting::get_distance_pair() for 20 location pair(s) ... 
+#> ... Cleaning results... 
+#> ... flapper::lcp_comp() call completed (@ 2023-02-19 15:01:06) after ~0.24 minutes. 
+
+## Examine outputs
+# The function returns a dataframe
+utils::str(out_1)
+#> 'data.frame':	20 obs. of  12 variables:
+#>  $ index      : int  1 2 3 4 5 6 7 8 9 10 ...
+#>  $ id         : int  1 2 3 4 5 6 7 8 9 10 ...
+#>  $ cell_x0    : num  701105 702625 701310 706065 704330 ...
+#>  $ cell_y0    : num  6265712 6264646 6266462 6267096 6266516 ...
+#>  $ cell_x1    : num  701065 702670 701280 706025 704375 ...
+#>  $ cell_y1    : num  6265686 6264672 6266502 6267122 6266496 ...
+#>  $ cell_id0   : num  1384241 1714695 1151782 955883 1135336 ...
+#>  $ cell_id1   : num  1391983 1706954 1139376 948125 1141545 ...
+#>  $ dist_sim   : num  50 50 50 50 50 50 50 50 50 50 ...
+#>  $ dist_euclid: num  47.2 51.5 50 47.2 49.2 ...
+#>  $ dist_lcp   : num  50.4 55.4 52.4 51.1 53.8 ...
+#>  $ barrier    : Factor w/ 2 levels "0","1": 1 1 1 1 1 1 1 1 1 1 ...
+
+## Visualise sampled locations on map
+raster::plot(bathy)
+raster::lines(dat_coast)
+invisible(lapply(split(out_1, seq_len(nrow(out_1))), function(d){
+  arrows(x0 = d$cell_x0, y0 = d$cell_y0,
+         x1 = d$cell_x1, y1 = d$cell_y1, length = 0.01, lwd = 2)
+}))
+
+
+## Compare simulated, Euclidean and shortest distances
+pp <- graphics::par(mfrow = c(1, 2))
+pretty_plot(out_1$dist_sim, out_1$dist_euclid,
+            xlab = "Distance (simulated) [m]",
+            ylab = "Distance (Euclidean)[m]")
+graphics::abline(0, 1)
+pretty_plot(out_1$dist_euclid, out_1$dist_lcp,
+            xlab = "Distance (Euclidean) [m]",
+            ylab = "Distance (shortest) [m]")
+graphics::abline(0, 1)
+
+graphics::par(pp)
+
+#### Example (2): Distance-vector-based implementation in parallel
+out_2 <- lcp_comp(surface = bathy,
+                  distance = c(50, 100),
+                  graph = bathy_graph,
+                  barrier = coastline,
+                  cl = parallel::makeCluster(2L)
+                  )
+#> flapper::lcp_comp() called (@ 2023-02-19 15:01:07)... 
+#> ... Defining parameters... 
+#> ... Sampling n location pairs for each distance value... 
+#> ... Processing samples... 
+#> ... Determining barrier overlaps... 
+#> ... Implementing shortest-distance calculations... 
+#> ... ... Calculating shortest-distances via cppRouting::get_distance_pair() for 20 location pair(s) ... 
+#> ... Cleaning results... 
+#> ... flapper::lcp_comp() call completed (@ 2023-02-19 15:01:28) after ~0.36 minutes. 
+
+#### Example (3): Mobility-based implementation
+
+## Implement function for mobility = 500
+mob <- 500
+out_3 <- lcp_comp(surface = bathy,
+                  mobility = mob,
+                  n = 1000,
+                  graph = bathy_graph,
+                  barrier = coastline
+                  )
+#> flapper::lcp_comp() called (@ 2023-02-19 15:01:28)... 
+#> ... Defining parameters... 
+#> ... Sampling n locations... 
+#> ... Calculating Euclidean distances between sampled locations... 
+#> ... Filtering by mobility... 
+#> ... Processing samples... 
+#> ... Determining barrier overlaps... 
+#> ... Implementing shortest-distance calculations... 
+#> ... ... Calculating shortest-distances via cppRouting::get_distance_pair() for 1000 location pair(s) ... 
+#> ... Cleaning results... 
+#> ... flapper::lcp_comp() call completed (@ 2023-02-19 15:01:34) after ~0.09 minutes. 
+
+## Visualise sampled locations on map
+raster::plot(bathy)
+raster::lines(dat_coast)
+invisible(lapply(split(out_3, seq_len(nrow(out_3))), function(d){
+  arrows(x0 = d$cell_x0, y0 = d$cell_y0,
+         x1 = d$cell_x1, y1 = d$cell_y1, length = 0.01, lwd = 0.5)
+}))
+
+
+## Compare Euclidean and shortest distances
+# Extract the data for the paths that do not versus do cross a barrier
+out_3_barrier0 <- out_3[out_3$barrier == 0, ]
+out_3_barrier1 <- out_3[out_3$barrier == 1, ]
+# Set up plotting window
+pp <- graphics::par(mfrow = c(1, 2), oma = c(3, 3, 3, 3), mar = c(4, 4, 4, 4))
+# Results for paths that do not cross a barrier
+# ... Visualisation
+pretty_plot(out_3_barrier0$dist_euclid, out_3_barrier0$dist_lcp,
+            xlab = "Distance (Euclidean) [m]",
+            ylab = "Distance (shortest) [m]",
+            pch = ".")
+graphics::abline(0, 1, col = "red")
+graphics::abline(h = mob, col = "royalblue", lty = 3)
+# ... Euclidean distance parameter at which mobility is exceeded
+limit0 <- min(out_3_barrier0$dist_euclid[out_3_barrier0$dist_lcp > mob]); limit0
+#> [1] 462.8715
+graphics::abline(v = limit0, col = "royalblue", lty = 3)
+# Results for paths that cross a barrier
+# ... Visualisation
+pretty_plot(out_3_barrier1$dist_euclid, out_3_barrier1$dist_lcp,
+           xlab = "Distance (Euclidean) [m]",
+           ylab = "Distance (shortest) [m]",
+           pch = ".")
+graphics::abline(0, 1, col = "red")
+graphics::abline(h = mob, col = "royalblue", lty = 3)
+# ... Euclidean distance parameter at which mobility is exceeded
+limit1 <-
+  min(out_3_barrier1$dist_euclid[out_3_barrier1$dist_lcp > mob]); limit1
+#> [1] 480
+graphics::abline(v = limit1, col = "royalblue", lty = 3)
+
+graphics::par(pp)
+
+## Plot the difference between Euclidean and shortest distances with distance
+pp <- graphics::par(mfrow = c(1, 2), oma = c(3, 3, 3, 3), mar = c(4, 4, 4, 4))
+pretty_plot(out_3_barrier0$dist_euclid,
+            out_3_barrier0$dist_lcp - out_3_barrier0$dist_euclid,
+            xlab = "Distance (Euclidean) [m]",
+            ylab = "Distance (shortest - Euclidean) [m]",
+            pch = ".")
+pretty_plot(out_3_barrier1$dist_euclid,
+            out_3_barrier1$dist_lcp - out_3_barrier1$dist_euclid,
+            xlab = "Distance (Euclidean) [m]",
+            ylab = "Distance (shortest - Euclidean) [m]",
+            pch = ".")
+
+graphics::par(pp)
+
+## Approximate shortest distances using a model based on Euclidean distances
+# Fit model
+mod <- lm(dist_lcp ~ 0 + dist_euclid:barrier, data = out_3)
+# Examine model predictions
+x <- seq(0, 500)
+nd <- data.frame(barrier = factor(0, levels = c(0, 1)), dist_euclid = x)
+ci <- list_CIs(predict(mod, nd, se.fit = TRUE))
+pretty_plot(out_3$dist_euclid, out_3$dist_lcp,
+                            col = c("grey", "darkred")[out_3$barrier],
+                            cex = c(0.1, 1.5)[out_3$barrier])
+add_error_envelope(x, ci)
+nd$barrier <- factor(1, levels = c(0, 1))
+ci <- list_CIs(predict(mod, nd, se.fit = TRUE))
+add_error_envelope(x, ci,
+                   add_fit = list(col = "red"),
+                   add_ci = list(col = scales::alpha("red", 0.5),
+                                 border = FALSE))
+
+# Define predictive model based on this analysis
+lcp_predict <- function(x, m, barrier){
+  stopifnot(length(m) == 2L)
+  stopifnot(all(barrier %in% c(0, 1)))
+  return(m[1] * x * (barrier == 0) + m[2] * x * (barrier == 1))
+  }
+
+
    +
    +
    - - - + + diff --git a/docs/reference/lcp_costs.html b/docs/reference/lcp_costs.html index 2cc8cdf..107f832 100644 --- a/docs/reference/lcp_costs.html +++ b/docs/reference/lcp_costs.html @@ -1,67 +1,12 @@ - - - - - - - -Calculate the distances between connected cells in a Raster* — lcp_costs • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate the distances between connected cells in a Raster* — lcp_costs • flapper - - - - + + -
    -
    - -
    - -
    +

    Calculate the distances between connected cells in a Raster*

    - Source: R/lcps.R + Source: R/lcps.R
    -

    This function calculates distances between connected cells in a raster, given (a) the planar distances between connected cells and (b) differences in elevation.

    +

    This function calculates distances between connected cells in a raster, given (a) the planar distances between connected cells and (b) differences in elevation.

    - 
    lcp_costs(surface, verbose = TRUE)
    - -

    Arguments

    - - - - - - - - - - -
    surface

    A raster for which to calculate distances. The surface must be planar (i.e., Universal Transverse Mercator projection) with units of metres in the x, y and z directions. The surface's resolution is taken to define the distance between connected cells in the x and y directions and must be the same in both cases (for surface's with unequal horizontal resolution, resample can be used to equalise resolution).

    verbose

    A logical function that defines whether or not to print messages to the console to relay function progress.

    +
    + 
    lcp_costs(surface, verbose = TRUE)
    +
    -

    Value

    +
    +

    Arguments

    +
    surface
    +

    A raster for which to calculate distances. The surface must be planar (i.e., Universal Transverse Mercator projection) with units of metres in the x, y and z directions. The surface's resolution is taken to define the distance between connected cells in the x and y directions and must be the same in both cases (for surface's with unequal horizontal resolution, resample can be used to equalise resolution).

    -

    The function returns a named list of sparse dsCMatrix-class matrices that define the distances (m) between connected cells under a rook's or bishop's movement (`dist_rook' and `dist_bishop'), the planar and vertical distances between connected cells (`dist_planar' and `dist_vertical') and the total distance between connected cells (`dist_total').

    -

    Details

    -

    This function was motivated by the need to determine the shortest paths between locations over the seabed for benthic animals (see lcp_over_surface). An animal's movement can be conceptualised as that of a queen on a chessboard, which can move, in eight directions around its current position, across a surface. Movements in the x and y direction are termed `rook's movement' and movements in the diagonal direction are termed `bishop's movement'.

    -

    Under this framework, the distance that an entity must travel between connected cells depends on the planar distances between cells and their differences in elevation. Planar distances (\(d_p\), m) depend on the movement type: under a rook's movement (i.e., horizontally or vertically), the distance (\(d_{p,r}\)) between connected cells is extracted from the raster's resolution (which is assumed to be identical in the x and y directions); under a bishop's movement (i.e., diagonally), the distance between connected cells \(d_{p,b}\) is given by Pythagoras' Theorem: \(d_{p,b} = \sqrt{(d_{p, r}^2 + d_{p, r}^2)}\). Vertical distances (\(d_v\), m) are simply the differences in height between cells. The total distance (\(d_t\)) between any two connected cells is a combination of these distances given by Pythagoras' Theorem: \(d_t = \sqrt{(d_p^2 + d_v^2)}\).

    -

    The function returns a warning produced by transition which is implemented to facilitate the definition of distances before shortest paths/distances are computed by either method: `In .TfromR(x, transitionFunction, directions, symm) : transition function gives negative values'. This warning arises because the height differences between connecting cells can be negative. It can be safely ignored.

    -

    See also

    +
    verbose
    +

    A logical function that defines whether or not to print messages to the console to relay function progress.

    -

    This routine is implemented by the lcp_over_surface function to calculate the shortest path(s) and/or the distance(s) of the shortest paths(s) between origin and destination coordinates, and by the lcp_from_point function to calculate the shortest distances from a point on a raster to surrounding cells.

    -

    Author

    +
    +
    +

    Value

    + +

    The function returns a named list of sparse dsCMatrix-class matrices that define the distances (m) between connected cells under a rook's or bishop's movement (`dist_rook' and `dist_bishop'), the planar and vertical distances between connected cells (`dist_planar' and `dist_vertical') and the total distance between connected cells (`dist_total').

    +
    +
    +

    Details

    +

    This function was motivated by the need to determine the shortest paths between locations over the seabed for benthic animals (see lcp_over_surface). An animal's movement can be conceptualised as that of a queen on a chessboard, which can move, in eight directions around its current position, across a surface. Movements in the x and y direction are termed `rook's movement' and movements in the diagonal direction are termed `bishop's movement'.

    +

    Under this framework, the distance that an entity must travel between connected cells depends on the planar distances between cells and their differences in elevation. Planar distances (\(d_p\), m) depend on the movement type: under a rook's movement (i.e., horizontally or vertically), the distance (\(d_{p,r}\)) between connected cells is extracted from the raster's resolution (which is assumed to be identical in the x and y directions); under a bishop's movement (i.e., diagonally), the distance between connected cells \(d_{p,b}\) is given by Pythagoras' Theorem: \(d_{p,b} = \sqrt{(d_{p, r}^2 + d_{p, r}^2)}\). Vertical distances (\(d_v\), m) are simply the differences in height between cells. The total distance (\(d_t\)) between any two connected cells is a combination of these distances given by Pythagoras' Theorem: \(d_t = \sqrt{(d_p^2 + d_v^2)}\).

    +

    The function returns a warning produced by transition which is implemented to facilitate the definition of distances before shortest paths/distances are computed by either method: `In .TfromR(x, transitionFunction, directions, symm) : transition function gives negative values'. This warning arises because the height differences between connecting cells can be negative. It can be safely ignored.

    +
    +
    +

    See also

    +

    This routine is implemented by the lcp_over_surface function to calculate the shortest path(s) and/or the distance(s) of the shortest paths(s) between origin and destination coordinates, and by the lcp_from_point function to calculate the shortest distances from a point on a raster to surrounding cells.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    # In this example, consider the distances between connected cells in the example
-# ... 'dat_gebco' raster. For speed, we will focus on a subset of the area.
-# ... Within this area, we need to regularise the resolution:
-boundaries <- raster::extent(707884.6, 709884.6, 6253404, 6255404)
-blank      <- raster::raster(boundaries, res = c(5, 5))
-r          <- raster::resample(dat_gebco, blank)
-
    #> Warning: aggregation factor is larger than the number of columns
    #> Warning: aggregation factor is larger than the number of rows
    #> Error in .intersectExtent(x, y, validate = TRUE): Objects do not intersect
    # Implement algorithm
-costs      <- lcp_costs(r)
-
    #> flapper::lcp_costs() called (@ 2022-06-17 10:05:59)... 
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'res': object 'r' not found
    # Examine outputs
-utils::str(costs)
-
    #> Error in utils::str(costs): object 'costs' not found
    
-
    +
    +

    Examples

    + 
    # In this example, consider the distances between connected cells in the example
+# ... 'dat_gebco' raster. For speed, we will focus on a subset of the area.
+# ... Within this area, we need to regularise the resolution:
+boundaries <- raster::extent(707884.6, 709884.6, 6253404, 6255404)
+blank      <- raster::raster(boundaries, res = c(5, 5))
+r          <- raster::resample(dat_gebco, blank)
+#> Warning: aggregation factor is larger than the number of columns
+#> Warning: aggregation factor is larger than the number of rows
+#> Error in .intersectExtent(x, y, validate = TRUE): Objects do not intersect
+# Implement algorithm
+costs      <- lcp_costs(r)
+#> flapper::lcp_costs() called (@ 2023-02-19 15:01:38)... 
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'res': object 'r' not found
+# Examine outputs
+utils::str(costs)
+#> Error in utils::str(costs): object 'costs' not found
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/lcp_from_point.html b/docs/reference/lcp_from_point.html index 7c8529c..33c2f37 100644 --- a/docs/reference/lcp_from_point.html +++ b/docs/reference/lcp_from_point.html @@ -1,67 +1,12 @@ - - - - - - - -Create a Raster* of the least-cost distances around a point — lcp_from_point • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Create a Raster* of the least-cost distances around a point — lcp_from_point • flapper - - + + - - -
    -
    - -
    - -
    +

    Create a Raster* of the least-cost distances around a point

    - Source: R/lcps.R + Source: R/lcps.R
    -

    This function calculates the least-cost distances from a point to all (or some) of the cells in a surrounding raster object, returning a raster. This is the least-cost distance equivalent of distanceFromPoints.

    +

    This function calculates the least-cost distances from a point to all (or some) of the cells in a surrounding raster object, returning a raster. This is the least-cost distance equivalent of distanceFromPoints.

    - 
    lcp_from_point(
-  origin,
-  surface,
-  destination = NULL,
-  cost = NULL,
-  graph = NULL,
-  use_all_cores = FALSE,
-  verbose = TRUE
-)
    +
    + 
    lcp_from_point(
+  origin,
+  surface,
+  destination = NULL,
+  cost = NULL,
+  graph = NULL,
+  use_all_cores = FALSE,
+  verbose = TRUE
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    origin

    A matrix which defines the coordinates (x, y) of the point from which to calculate least-cost distances. Unlike distanceFromPoints, only a single point is expected.

    surface

    A raster across which to implement least-cost distance calculations. If the cost matrix is derived from lcp_costs (see below), there are some constraints on the form of this surface; namely, equal resolution in x and y directions and a Universal Transverse Mercator coordinate reference system with units of metres. The surface defines the properties of the returned raster (see Value).

    destination

    (optional) An matrix of destination coordinates; an integer vector of cell IDs; or function that defines a subset of destination cells, given their surface value, for which to implement calculations. For example destination = function(x) x > 0 would restrict least-cost distance calculations to cells of the surface that have a value of more than zero. Other cells are set to NA. This can improve computational efficiency.

    cost

    (optional) A sparse dsCMatrix-class matrix that defines the cost of movement between connected cells (see lcp_costs). If unsupplied, if the graph is also unsupplied (see below), a matrix of distances from lcp_costs is computed internally and taken to define the cost surface. For this to be appropriate, the surface should have a Universal Transverse Mercator projection, with equal resolution in the x and y directions and units of metres (see surface, above). If a graph is supplied, cost is unnecessary.

    graph

    (optional) A graph object that defines cell nodes and edge costs for connected cells within the surface (see lcp_graph_surface). If supplied, the calculation of the cost surface and the construction of the graph stages in the computation of least-cost distances are skipped (see Details), which is desirable in iterative applications.

    use_all_cores

    A logical input that defines whether or not to parallelise least-cost distance calculations across all cores. This is passed to get_distance_matrix which implements calculations.

    verbose

    A logical input that defines whether or not to print messages to the console to relay function progress.

    +
    +

    Arguments

    +
    origin
    +

    A matrix which defines the coordinates (x, y) of the point from which to calculate least-cost distances. Unlike distanceFromPoints, only a single point is expected.

    -

    Value

    -

    The function returns a raster in which each cell represents the least-cost distance from a specified origin to that cell. The origin is assigned a value of zero. Any cells excluded by the destination filter have a value of NA.

    -

    Details

    +
    surface
    +

    A raster across which to implement least-cost distance calculations. If the cost matrix is derived from lcp_costs (see below), there are some constraints on the form of this surface; namely, equal resolution in x and y directions and a Universal Transverse Mercator coordinate reference system with units of metres. The surface defines the properties of the returned raster (see Value).

    -

    This function implements routines provided via flapper and the cppRouting package to calculate least-cost distances. The main steps are:

      -

    1. The calculation of distances between adjacent cells (i.e., cost, if not supplied, via lcp_costs);

      2. -

    2. The construction of a graph that defines cell connections from the origin to surrounding cells on the surface as a network (via makegraph);

      3. -

    3. The calculation of shortest distances between the origin and surrounding cells from the graph (via get_distance_matrix);

      4. -

    4. The expression of shortest distances as a raster which is returned.

      5. -
    -

    See also

    +
    destination
    +

    (optional) An matrix of destination coordinates; an integer vector of cell IDs; or function that defines a subset of destination cells, given their surface value, for which to implement calculations. For example destination = function(x) x > 0 would restrict least-cost distance calculations to cells of the surface that have a value of more than zero. Other cells are set to NA. This can improve computational efficiency.

    -

    This function is similar to distanceFromPoints, which returns a Raster* of Euclidean distances. For iterative applications across the same surface, lcp_costs and lcp_graph_surface can be implemented to define the cost matrix and the graph object outside of this function. These can be passed to lcp_from_point, skipping the need to recompute these objects. For shortest-distances and/or paths between specific origin and destination coordinates, the lcp_over_surface can be used. The particle filtering movement algorithms in flapper (i.e., pf) can implement this approach to ensure that movement paths are biologically realistic.

    -

    Author

    -

    Edward Lavender

    +
    cost
    +

    (optional) A sparse dsCMatrix-class matrix that defines the cost of movement between connected cells (see lcp_costs). If unsupplied, if the graph is also unsupplied (see below), a matrix of distances from lcp_costs is computed internally and taken to define the cost surface. For this to be appropriate, the surface should have a Universal Transverse Mercator projection, with equal resolution in the x and y directions and units of metres (see surface, above). If a graph is supplied, cost is unnecessary.

    + -

    Examples

    - 
    #### Step (1): Define example origin
-proj     <- sp::CRS(SRS_string = "EPSG:4326")
-proj_utm <- sp::CRS(SRS_string = "EPSG:32629")
-origin   <- matrix(c(-5.616, 56.388), ncol = 2)
-origin   <- sp::SpatialPoints(origin, proj)
-origin   <- sp::spTransform(origin, proj_utm)
+
    graph
    
+
    (optional) A graph object that defines cell nodes and edge costs for connected cells within the surface (see lcp_graph_surface). If supplied, the calculation of the cost surface and the construction of the graph stages in the computation of least-cost distances are skipped (see Details), which is desirable in iterative applications.
    
 
-#### Step (2): Select and process surface
-# We will focus on an area within the dat_gebco bathymetry raster
-boundaries <- raster::extent(707884.6, 709884.6, 6253404, 6255404)
-blank      <- raster::raster(boundaries, res = c(5, 5))
-r          <- raster::resample(dat_gebco, blank)
-
    #> Warning: aggregation factor is larger than the number of columns
    #> Warning: aggregation factor is larger than the number of rows
    #> Error in .intersectExtent(x, y, validate = TRUE): Objects do not intersect
    
-#### Example (1): Implement function using default options
-lcp_dist <- lcp_from_point(origin = origin, surface = r)
-
    #> flapper::lcp_from_point() called (@ 2022-06-17 10:06:01)... 
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'ncell': object 'r' not found
    ## Visualise outputs
-pp <- par(mfrow = c(2, 2))
-# Plot surface
-raster::plot(r)
-
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'plot': object 'r' not found
    # Examine Euclidean distances from point
-raster::plot(raster::distanceFromPoints(r, origin))
-
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'plot': error in evaluating the argument 'x' in selecting a method for function 'couldBeLonLat': object 'r' not found
    # Compare to shortest distances
-raster::plot(lcp_dist)
-
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'plot': object 'lcp_dist' not found
    par(pp)
 
-if(flapper_run_slow){
+
    use_all_cores
    
+
    A logical input that defines whether or not to parallelise least-cost distance calculations across all cores. This is passed to get_distance_matrix which implements calculations.
    
 
-#### Example (2): Implement function across specific destinations
-## Supply destination cell coordinates/IDs directly
-# E.g., consider distances to cells shallower than 125 m
-destination_cells <- raster::Which(r < 125, cells = TRUE, na.rm = TRUE)
-lcp_dist <- lcp_from_point(origin = origin,
-                           surface = r,
-                           destination = destination_cells)
-raster::plot(lcp_dist)
-## Use a function instead to consider distances to cells shallower than 125 m
-filter_destination_cells <- function(x) x < 125
-lcp_dist <- lcp_from_point(origin = origin,
-                           surface = r,
-                           destination = filter_destination_cells)
-raster::plot(lcp_dist)
 
-#### Example (3): Define cost surfaces for LCP calculations outside of function
-# This can be implemented internally, but we compute it here via lcp_costs().
-# Note this imposes restrictions on the nature of the surface, such as equal
-# ... resolution, which we have forced above.
-costs <- lcp_costs(r)
-cost  <- costs$dist_total
-lcp_dist <- lcp_from_point(origin = origin,
-                           surface = r,
-                           destination = filter_destination_cells,
-                           cost = cost)
+
    verbose
    
+
    A logical input that defines whether or not to print messages to the console to relay function progress.
    
 
-#### Example (4): Supply a graph object
-graph    <- lcp_graph_surface(surface = r, cost = cost)
-lcp_dist <- lcp_from_point(origin = origin, surface = r, graph = graph)
+
    +
    +

    Value

    + -#### Example (5): Implement algorithm in parallel via use_all_cores -lcp_dist <- lcp_from_point(origin = origin, surface = r, use_all_cores = TRUE) +

    The function returns a raster in which each cell represents the least-cost distance from a specified origin to that cell. The origin is assigned a value of zero. Any cells excluded by the destination filter have a value of NA.

    +
    +
    +

    Details

    +

    This function implements routines provided via flapper and the cppRouting package to calculate least-cost distances. The main steps are:

    1. The calculation of distances between adjacent cells (i.e., cost, if not supplied, via lcp_costs);

      2. +

    2. The construction of a graph that defines cell connections from the origin to surrounding cells on the surface as a network (via makegraph);

      3. +

    3. The calculation of shortest distances between the origin and surrounding cells from the graph (via get_distance_matrix);

      4. +

    4. The expression of shortest distances as a raster which is returned.

      5. +
    +
    +

    See also

    +

    This function is similar to distanceFromPoints, which returns a Raster* of Euclidean distances. For iterative applications across the same surface, lcp_costs and lcp_graph_surface can be implemented to define the cost matrix and the graph object outside of this function. These can be passed to lcp_from_point, skipping the need to recompute these objects. For shortest-distances and/or paths between specific origin and destination coordinates, the lcp_over_surface can be used. The particle filtering movement algorithms in flapper (i.e., pf) can implement this approach to ensure that movement paths are biologically realistic.

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    -} -
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'Which': object 'r' not found
    -
    +
    +

    Examples

    + 
    #### Step (1): Define example origin
+proj     <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm <- sp::CRS(SRS_string = "EPSG:32629")
+origin   <- matrix(c(-5.616, 56.388), ncol = 2)
+origin   <- sp::SpatialPoints(origin, proj)
+origin   <- sp::spTransform(origin, proj_utm)
+
+#### Step (2): Select and process surface
+# We will focus on an area within the dat_gebco bathymetry raster
+boundaries <- raster::extent(707884.6, 709884.6, 6253404, 6255404)
+blank      <- raster::raster(boundaries, res = c(5, 5))
+r          <- raster::resample(dat_gebco, blank)
+#> Warning: aggregation factor is larger than the number of columns
+#> Warning: aggregation factor is larger than the number of rows
+#> Error in .intersectExtent(x, y, validate = TRUE): Objects do not intersect
+
+#### Example (1): Implement function using default options
+lcp_dist <- lcp_from_point(origin = origin, surface = r)
+#> flapper::lcp_from_point() called (@ 2023-02-19 15:01:41)... 
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'ncell': object 'r' not found
+## Visualise outputs
+pp <- par(mfrow = c(2, 2))
+# Plot surface
+raster::plot(r)
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'plot': object 'r' not found
+# Examine Euclidean distances from point
+raster::plot(raster::distanceFromPoints(r, origin))
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'plot': error in evaluating the argument 'x' in selecting a method for function 'couldBeLonLat': object 'r' not found
+# Compare to shortest distances
+raster::plot(lcp_dist)
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'plot': object 'lcp_dist' not found
+par(pp)
+
+if(flapper_run_slow){
+
+#### Example (2): Implement function across specific destinations
+## Supply destination cell coordinates/IDs directly
+# E.g., consider distances to cells shallower than 125 m
+destination_cells <- raster::Which(r < 125, cells = TRUE, na.rm = TRUE)
+lcp_dist <- lcp_from_point(origin = origin,
+                           surface = r,
+                           destination = destination_cells)
+raster::plot(lcp_dist)
+## Use a function instead to consider distances to cells shallower than 125 m
+filter_destination_cells <- function(x) x < 125
+lcp_dist <- lcp_from_point(origin = origin,
+                           surface = r,
+                           destination = filter_destination_cells)
+raster::plot(lcp_dist)
+
+#### Example (3): Define cost surfaces for LCP calculations outside of function
+# This can be implemented internally, but we compute it here via lcp_costs().
+# Note this imposes restrictions on the nature of the surface, such as equal
+# ... resolution, which we have forced above.
+costs <- lcp_costs(r)
+cost  <- costs$dist_total
+lcp_dist <- lcp_from_point(origin = origin,
+                           surface = r,
+                           destination = filter_destination_cells,
+                           cost = cost)
+
+#### Example (4): Supply a graph object
+graph    <- lcp_graph_surface(surface = r, cost = cost)
+lcp_dist <- lcp_from_point(origin = origin, surface = r, graph = graph)
+
+#### Example (5): Implement algorithm in parallel via use_all_cores
+lcp_dist <- lcp_from_point(origin = origin, surface = r, use_all_cores = TRUE)
+
+}
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'Which': object 'r' not found
+
+
    +
    +
    - - - + + diff --git a/docs/reference/lcp_graph_surface.html b/docs/reference/lcp_graph_surface.html index a6e274e..de4422b 100644 --- a/docs/reference/lcp_graph_surface.html +++ b/docs/reference/lcp_graph_surface.html @@ -1,67 +1,12 @@ - - - - - - - -Construct a graph for least-cost paths analysis of movement from a point on a Raster* — lcp_graph_surface • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Construct a graph for least-cost paths analysis of movement from a point on a Raster* — lcp_graph_surface • flapper - - + + - - -
    -
    - -
    - -
    +

    Construct a graph for least-cost paths analysis of movement from a point on a Raster*

    - Source: R/lcps.R + Source: R/lcps.R
    -

    This function constructs a graph for least-cost paths analysis. This function is specifically designed for situations in which the aim is to calculate least-cost distances between points on a raster.

    +

    This function constructs a graph for least-cost paths analysis. This function is specifically designed for situations in which the aim is to calculate least-cost distances between points on a raster.

    +
    + +
    + 
    lcp_graph_surface(surface, cost, verbose = TRUE)
    - 
    lcp_graph_surface(surface, cost, verbose = TRUE)
    - -

    Arguments

    - - - - - - - - - - - - - - -
    surface

    A raster for which to construct the graph. There are some constraints on the form of this raster if the costs of movement between cells are derived from lcp_costs (see below).

    cost

    A sparse dsCMatrix-class matrix that defines the cost of movement between connected cells on the surface (see lcp_costs).

    verbose

    A logical function that defines whether or not to print messages to the console to relay function progress.

    - -

    Value

    - -

    The function returns a named list that defines the graph (see makegraph)

    -

    Details

    - -

    This is a wrapper for the makegraph function.

    -

    Author

    +
    +

    Arguments

    +
    surface
    +

    A raster for which to construct the graph. There are some constraints on the form of this raster if the costs of movement between cells are derived from lcp_costs (see below).

    + +
    cost
    +

    A sparse dsCMatrix-class matrix that defines the cost of movement between connected cells on the surface (see lcp_costs).

    + + +
    verbose
    +

    A logical function that defines whether or not to print messages to the console to relay function progress.

    + +
    +
    +

    Value

    + + +

    The function returns a named list that defines the graph (see makegraph)

    +
    +
    +

    Details

    +

    This is a wrapper for the makegraph function.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Step (1): Define cost surface
-# We will consider the distances between connected cells in the example
-# ... 'dat_gebco' raster as a measure of cost. For this, we will focus on a
-# ... specific area (for speed), within which we need to
-# ... we need to regularise the resolution:
-boundaries <- raster::extent(707884.6, 709884.6, 6253404, 6255404)
-blank      <- raster::raster(boundaries, res = c(5, 5))
-r          <- raster::resample(dat_gebco, blank)
-
    #> Warning: aggregation factor is larger than the number of columns
    #> Warning: aggregation factor is larger than the number of rows
    #> Error in .intersectExtent(x, y, validate = TRUE): Objects do not intersect
    # Define costs
-costs      <- lcp_costs(r)
-
    #> flapper::lcp_costs() called (@ 2022-06-17 10:06:01)... 
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'res': object 'r' not found
    
-#### Step (2): Make graph for LCP analysis
-graph <- lcp_graph_surface(surface = r, cost = costs$dist_total)
-
    #> flapper::lcp_graph_surface() called (@ 2022-06-17 10:06:01)... 
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'ncell': object 'r' not found
    
-#### Step (3): Implement LCP analysis around point on Raster*
-# ... e.g., via lcp_from_point()
-
-
    +
    +

    Examples

    + 
    #### Step (1): Define cost surface
+# We will consider the distances between connected cells in the example
+# ... 'dat_gebco' raster as a measure of cost. For this, we will focus on a
+# ... specific area (for speed), within which we need to
+# ... we need to regularise the resolution:
+boundaries <- raster::extent(707884.6, 709884.6, 6253404, 6255404)
+blank      <- raster::raster(boundaries, res = c(5, 5))
+r          <- raster::resample(dat_gebco, blank)
+#> Warning: aggregation factor is larger than the number of columns
+#> Warning: aggregation factor is larger than the number of rows
+#> Error in .intersectExtent(x, y, validate = TRUE): Objects do not intersect
+# Define costs
+costs      <- lcp_costs(r)
+#> flapper::lcp_costs() called (@ 2023-02-19 15:01:42)... 
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'res': object 'r' not found
+
+#### Step (2): Make graph for LCP analysis
+graph <- lcp_graph_surface(surface = r, cost = costs$dist_total)
+#> flapper::lcp_graph_surface() called (@ 2023-02-19 15:01:42)... 
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'ncell': object 'r' not found
+
+#### Step (3): Implement LCP analysis around point on Raster*
+# ... e.g., via lcp_from_point()
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/lcp_interp-1.png b/docs/reference/lcp_interp-1.png index 2490d9c..e386644 100644 Binary files a/docs/reference/lcp_interp-1.png and b/docs/reference/lcp_interp-1.png differ diff --git a/docs/reference/lcp_interp.html b/docs/reference/lcp_interp.html index df1b7e9..b75c6df 100644 --- a/docs/reference/lcp_interp.html +++ b/docs/reference/lcp_interp.html @@ -1,67 +1,12 @@ - - - - - - - -Interpolate shortest (least-cost) paths between locations along a movement path — lcp_interp • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Interpolate shortest (least-cost) paths between locations along a movement path — lcp_interp • flapper - - + + - - -
    -
    - -
    - -
    +

    Interpolate shortest (least-cost) paths between locations along a movement path

    - Source: R/lcps.R + Source: R/lcps.R
    -

    This function is a wrapper for lcp_over_surface designed to interpolate shortest (least-cost) paths between sequential locations along an animal movement path. The function is specifically motivated for the interpolation of paths between locations for benthic animals, whose movement is restricted by the seabed (see lcp_over_surface).

    +

    This function is a wrapper for lcp_over_surface designed to interpolate shortest (least-cost) paths between sequential locations along an animal movement path. The function is specifically motivated for the interpolation of paths between locations for benthic animals, whose movement is restricted by the seabed (see lcp_over_surface).

    - 
    lcp_interp(
-  paths,
-  surface,
-  ...,
-  keep_cols = FALSE,
-  calc_distance = TRUE,
-  verbose = TRUE
-)
    +
    + 
    lcp_interp(
+  paths,
+  surface,
+  ...,
+  keep_cols = FALSE,
+  calc_distance = TRUE,
+  verbose = TRUE
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - -
    paths

    A dataframe that defines movement paths. This must contain a unique, integer identifier for each path from 1 to the number of paths (`path_id'); an integer time step index (`timestep') and the coordinates of sequential locations (`cell_x' and `cell_y'). The example dataset comprising movement paths reconstructed over the seabed by the depth-contour particle filtering algorithm (dat_dcpf_paths) exemplifies of the appropriate format.

    surface

    A raster of the surface over which the object (i.e., individual) moved between sequential locations. lcp_over_surface forces some restrictions on the form of this raster. The surface must be planar (i.e., Universal Transverse Mercator projection) with units of metres and equal resolution in the x, y and z directions (see lcp_over_surface).

    ...

    Additional arguments, passed to lcp_over_surface, to control the interpolation (excluding origin, destination, combination and goal).

    keep_cols

    A logical input that defines whether or not to retain all columns in paths in the returned dataframe (see Value).

    calc_distance

    A logical input that defines whether or not to calculate distances between sequential positions along the shortest paths (see Value).

    verbose

    A logical input that defines whether or not to print messages to the console to monitor function progress.

    +
    +

    Arguments

    +
    paths
    +

    A dataframe that defines movement paths. This must contain a unique, integer identifier for each path from 1 to the number of paths (`path_id'); an integer time step index (`timestep') and the coordinates of sequential locations (`cell_x' and `cell_y'). The example dataset comprising movement paths reconstructed over the seabed by the depth-contour particle filtering algorithm (dat_dcpf_paths) exemplifies of the appropriate format.

    -

    Value

    -

    The function returns a dataframe or a list depending on the input to calc_distance. If calc_distance = FALSE, the function returns a dataframe that defines, for each path (`path_id'), for each time step (`timestep'), a vector of the cell coordinates (`cell_x', `cell_y', `cell_z') on the surface that define the shortest path from the location at the previous time step to the location at the current time step. Thus, the first row contains the individual's initial location and subsequent rows for that time step (timestep = 2 if the first time step is defined as timestep = 1, since movement is considered from the location at the `previous' time step to the location at the `current' time step) include the sequential locations of an individual, were it to have moved along the shortest path, to the location at the next time step. If keep_cols = TRUE, coordinate columns are suffixed by `.x' and the coordinates for each time step (as inputted) are included (with the `.y' suffix) along with any other columns in the inputted dataframe (paths).

    -

    If calc_distance = TRUE, a named list is returned with two elements. The `path_lcp' element contains the dataframe of interpolated path coordinates, as described above, with an extra `dist' column that defines the distance over the surface between sequential positions along the path. The `dist_lcp' element contains a dataframe, exactly as inputted via paths, but with the total distance along each shortest path (from the `previous' location to the `current' location) included as a `dist' column (this is simply the sum of the distances provided in path_lcp$dist) for all movements within each timestep for each path.

    -

    Details

    +
    surface
    +

    A raster of the surface over which the object (i.e., individual) moved between sequential locations. lcp_over_surface forces some restrictions on the form of this raster. The surface must be planar (i.e., Universal Transverse Mercator projection) with units of metres and equal resolution in the x, y and z directions (see lcp_over_surface).

    -

    If calc_distances = TRUE, distances are calculated with movement from the previous location to the `current' location (see Value).

    -

    A useful application of this function in flapper is the post-hoc evaluation of particle filtering movement algorithms (see pf). These can be implemented using movement models based on Euclidean or shortest distances. Since the former is typically much faster, a useful starting point is to implement the chosen algorithm using Euclidean distances and then, for the sample of paths reconstructed by the algorithm, use lcp_interp to examine the similarity between Euclidean and shortest distances and the effects of updated distance values on movement probabilities. If a Euclidean distances implementation of an algorithm is acceptable (i.e., minimum swimming distances are not too large under the movement model), shortest distances from lcp_interp can be used to adjust the movement probabilities to more realistic values. Alternatively, a shortest distances implementation of the movement path algorithm may be necessary.

    -

    This function can also be useful for visualising movement paths (e.g., via pf_plot_3d).

    -

    Author

    -

    Edward Lavender

    +
    ...
    +

    Additional arguments, passed to lcp_over_surface, to control the interpolation (excluding origin, destination, combination and goal).

    + + +
    keep_cols
    +

    A logical input that defines whether or not to retain all columns in paths in the returned dataframe (see Value).

    + + +
    calc_distance
    +

    A logical input that defines whether or not to calculate distances between sequential positions along the shortest paths (see Value).

    + -

    Examples

    - 
    #### Define movement paths
-# We will interpolate LCPs between sequential locations
-# ... of a skate on the seabed
-# ... reconstructed by the DCPF algorithm (dc() & pf()), using the
-# ... example dat_dcpf_* datasets. We extract the paths
-# ... and the surface over which movement occurred from this object:
-paths   <- dat_dcpf_paths
-surface <- dat_dcpf_histories$args$bathy
+
    verbose
    
+
    A logical input that defines whether or not to print messages to the console to monitor function progress.
    
 
-#### Example (1): Implement lcp_interp() for an example path
-# ... with calc_distance = FALSE
-# Implement approach
-paths_1 <- paths[paths$path_id == 1, ]
-paths_interp_1 <- lcp_interp(paths = paths_1,
-                             surface = surface,
-                             calc_distance = FALSE)
-
    #> flapper::lcp_interp() called (@ 2022-06-17 10:06:01)... 
-#> ... Setting up function... 
-#> ... Processing paths... 
-#> ... Calculating least-cost paths via flapper::lcp_over_surface()... 
-#> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:01)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Using method = 'cppRouting'... 
-#> ... ... Defining nodes, edges and costs to make graph... 
-#> ... ... Constructing graph object... 
-#> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
    #> Running bidirectional Dijkstra...
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:01) after ~0 minutes. 
-#> ... flapper::lcp_interp() call completed (@ 2022-06-17 10:06:01) after ~0 minutes. 
    # With calc_distance = FALSE, we get a dataframe with sequential locations
-utils::head(paths_interp_1)
-
    #>   path_id timestep   cell_x  cell_y   cell_z
-#> 1       1        1 708897.1 6254392 135.0958
-#> 2       1        1 708897.1 6254366 134.6248
-#> 3       1        1 708897.1 6254342 134.1539
-#> 4       1        1 708897.1 6254316 133.6829
-#> 5       1        1 708897.1 6254292 133.4160
-#> 6       1        1 708922.1 6254266 133.4513
    
-#### Example (2): Keep the original columns in 'paths'
-# ... via keep_cols = TRUE
-paths_interp_2 <- lcp_interp(paths = paths_1,
-                             surface = surface,
-                             calc_distance = FALSE,
-                             keep_cols = TRUE)
-
    #> flapper::lcp_interp() called (@ 2022-06-17 10:06:01)... 
-#> ... Setting up function... 
-#> ... Processing paths... 
-#> ... Calculating least-cost paths via flapper::lcp_over_surface()... 
-#> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:01)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Using method = 'cppRouting'... 
-#> ... ... Defining nodes, edges and costs to make graph... 
-#> ... ... Constructing graph object... 
-#> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
    #> Running bidirectional Dijkstra...
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:01) after ~0 minutes. 
-#> ... flapper::lcp_interp() call completed (@ 2022-06-17 10:06:01) after ~0 minutes. 
    utils::head(paths_interp_2)
-
    #>   path_id timestep cell_x.x cell_y.x cell_z.x cell_id cell_x.y cell_y.y
-#> 1       1        1 708897.1  6254392 135.0958    3722 708922.1  6254242
-#> 2       1        1 708897.1  6254366 134.6248    3722 708922.1  6254242
-#> 3       1        1 708897.1  6254342 134.1539    3722 708922.1  6254242
-#> 4       1        1 708897.1  6254316 133.6829    3722 708922.1  6254242
-#> 5       1        1 708897.1  6254292 133.4160    3722 708922.1  6254242
-#> 6       1        1 708922.1  6254266 133.4513    3722 708922.1  6254242
-#>   cell_z.y      cell_pr     dist
-#> 1 134.0199 1.808832e-05 152.0691
-#> 2 134.0199 1.808832e-05 152.0691
-#> 3 134.0199 1.808832e-05 152.0691
-#> 4 134.0199 1.808832e-05 152.0691
-#> 5 134.0199 1.808832e-05 152.0691
-#> 6 134.0199 1.808832e-05 152.0691
    
-#### Example (3): Calculate shortest distances along each path
-# ... via calc_distance = TRUE (the default)
-paths_interp_3 <- lcp_interp(paths = paths_1,
-                             surface = surface)
-
    #> flapper::lcp_interp() called (@ 2022-06-17 10:06:01)... 
-#> ... Setting up function... 
-#> ... Processing paths... 
-#> ... Calculating least-cost paths via flapper::lcp_over_surface()... 
-#> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:01)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Using method = 'cppRouting'... 
-#> ... ... Defining nodes, edges and costs to make graph... 
-#> ... ... Constructing graph object... 
-#> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
    #> Running bidirectional Dijkstra...
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:02) after ~0 minutes. 
-#> ... Summarising distances for each least-cost path... 
-#> ... flapper::lcp_interp() call completed (@ 2022-06-17 10:06:02) after ~0 minutes. 
    # A named list is returned
-names(paths_interp_3)
-
    #> [1] "path_lcp" "dist_lcp"
    # The 'dist_lcp' element is as inputted but with a 'dist' column that defines
-# ... the total distance along the shortest path between sequential locations
-utils::head(paths_interp_3$dist_lcp)
-
    #>   path_id timestep cell_id   cell_x  cell_y   cell_z      cell_pr      dist
-#> 1       1        0    3241 708897.1 6254392 135.0958 1.000000e+00        NA
-#> 2       1        1    3722 708922.1 6254242 134.0199 1.808832e-05 160.37655
-#> 3       1        2    3243 708947.1 6254392 133.6996 1.663445e-05 160.37573
-#> 4       1        3    3166 709022.1 6254416 133.6938 1.569277e-04  85.36217
-#> 5       1        4    3006 709022.1 6254466 134.0630 1.826367e-04  50.00136
-#> 6       1        5    3009 709097.1 6254466 134.9762 1.547789e-04  75.00556
    # The 'path_lcp' element contains the paths, as described above, with an
-# ... additional 'dist' column for the distances between sequential locations
-# ... along each shortest path (i.e., time step)
-utils::head(paths_interp_3$path_lcp)
-
    #>   path_id timestep   cell_x  cell_y   cell_z     dist
-#> 1       1        1 708897.1 6254392 135.0958       NA
-#> 2       1        1 708897.1 6254366 134.6248 25.00444
-#> 3       1        1 708897.1 6254342 134.1539 25.00444
-#> 4       1        1 708897.1 6254316 133.6829 25.00444
-#> 5       1        1 708897.1 6254292 133.4160 25.00142
-#> 6       1        1 708922.1 6254266 133.4513 35.35536
    
-
    +
    +
    +

    Value

    + + +

    The function returns a dataframe or a list depending on the input to calc_distance. If calc_distance = FALSE, the function returns a dataframe that defines, for each path (`path_id'), for each time step (`timestep'), a vector of the cell coordinates (`cell_x', `cell_y', `cell_z') on the surface that define the shortest path from the location at the previous time step to the location at the current time step. Thus, the first row contains the individual's initial location and subsequent rows for that time step (timestep = 2 if the first time step is defined as timestep = 1, since movement is considered from the location at the `previous' time step to the location at the `current' time step) include the sequential locations of an individual, were it to have moved along the shortest path, to the location at the next time step. If keep_cols = TRUE, coordinate columns are suffixed by `.x' and the coordinates for each time step (as inputted) are included (with the `.y' suffix) along with any other columns in the inputted dataframe (paths).

    + + +

    If calc_distance = TRUE, a named list is returned with two elements. The `path_lcp' element contains the dataframe of interpolated path coordinates, as described above, with an extra `dist' column that defines the distance over the surface between sequential positions along the path. The `dist_lcp' element contains a dataframe, exactly as inputted via paths, but with the total distance along each shortest path (from the `previous' location to the `current' location) included as a `dist' column (this is simply the sum of the distances provided in path_lcp$dist) for all movements within each timestep for each path.

    +
    +
    +

    Details

    +

    If calc_distances = TRUE, distances are calculated with movement from the previous location to the `current' location (see Value).

    +

    A useful application of this function in flapper is the post-hoc evaluation of particle filtering movement algorithms (see pf). These can be implemented using movement models based on Euclidean or shortest distances. Since the former is typically much faster, a useful starting point is to implement the chosen algorithm using Euclidean distances and then, for the sample of paths reconstructed by the algorithm, use lcp_interp to examine the similarity between Euclidean and shortest distances and the effects of updated distance values on movement probabilities. If a Euclidean distances implementation of an algorithm is acceptable (i.e., minimum swimming distances are not too large under the movement model), shortest distances from lcp_interp can be used to adjust the movement probabilities to more realistic values. Alternatively, a shortest distances implementation of the movement path algorithm may be necessary.

    +

    This function can also be useful for visualising movement paths (e.g., via pf_plot_3d).

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    + +
    +

    Examples

    + 
    #### Define movement paths
+# We will interpolate LCPs between sequential locations
+# ... of a skate on the seabed
+# ... reconstructed by the DCPF algorithm (dc() & pf()), using the
+# ... example dat_dcpf_* datasets. We extract the paths
+# ... and the surface over which movement occurred from this object:
+paths   <- dat_dcpf_paths
+surface <- dat_dcpf_histories$args$bathy
+
+#### Example (1): Implement lcp_interp() for an example path
+# ... with calc_distance = FALSE
+# Implement approach
+paths_1 <- paths[paths$path_id == 1, ]
+paths_interp_1 <- lcp_interp(paths = paths_1,
+                             surface = surface,
+                             calc_distance = FALSE)
+#> flapper::lcp_interp() called (@ 2023-02-19 15:01:42)... 
+#> ... Setting up function... 
+#> ... Processing paths... 
+#> ... Calculating least-cost paths via flapper::lcp_over_surface()... 
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:42)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:42) after ~0 minutes. 
+#> ... flapper::lcp_interp() call completed (@ 2023-02-19 15:01:42) after ~0 minutes. 
+# With calc_distance = FALSE, we get a dataframe with sequential locations
+utils::head(paths_interp_1)
+#>   path_id timestep   cell_x  cell_y   cell_z
+#> 1       1       12 709572.1 6253992 86.75919
+
+#### Example (2): Keep the original columns in 'paths'
+# ... via keep_cols = TRUE
+paths_interp_2 <- lcp_interp(paths = paths_1,
+                             surface = surface,
+                             calc_distance = FALSE,
+                             keep_cols = TRUE)
+#> flapper::lcp_interp() called (@ 2023-02-19 15:01:42)... 
+#> ... Setting up function... 
+#> ... Processing paths... 
+#> ... Calculating least-cost paths via flapper::lcp_over_surface()... 
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:42)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:42) after ~0 minutes. 
+#> ... flapper::lcp_interp() call completed (@ 2023-02-19 15:01:42) after ~0 minutes. 
+utils::head(paths_interp_2)
+#>   path_id timestep cell_x.x cell_y.x cell_z.x cell_id cell_x.y cell_y.y
+#> 1       1       12 709572.1  6253992 86.75919    4548 709572.1  6253992
+#>   cell_z.y     cell_pr dist
+#> 1 86.75919 0.001475939    0
+
+#### Example (3): Calculate shortest distances along each path
+# ... via calc_distance = TRUE (the default)
+paths_interp_3 <- lcp_interp(paths = paths_1,
+                             surface = surface)
+#> flapper::lcp_interp() called (@ 2023-02-19 15:01:42)... 
+#> ... Setting up function... 
+#> ... Processing paths... 
+#> ... Calculating least-cost paths via flapper::lcp_over_surface()... 
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:42)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:42) after ~0 minutes. 
+#> ... Summarising distances for each least-cost path... 
+#> ... flapper::lcp_interp() call completed (@ 2023-02-19 15:01:43) after ~0 minutes. 
+# A named list is returned
+names(paths_interp_3)
+#> [1] "path_lcp" "dist_lcp"
+# The 'dist_lcp' element is as inputted but with a 'dist' column that defines
+# ... the total distance along the shortest path between sequential locations
+utils::head(paths_interp_3$dist_lcp)
+#>   path_id timestep cell_id   cell_x  cell_y   cell_z      cell_pr dist
+#> 1       1        0    3241 708897.1 6254392 135.0958 1.000000e+00   NA
+#> 2       1        1    3722 708922.1 6254242 134.0199 1.808832e-05   NA
+#> 3       1        2    3243 708947.1 6254392 133.6996 1.663445e-05   NA
+#> 4       1        3    3166 709022.1 6254416 133.6938 1.569277e-04   NA
+#> 5       1        4    3006 709022.1 6254466 134.0630 1.826367e-04   NA
+#> 6       1        5    3009 709097.1 6254466 134.9762 1.547789e-04   NA
+# The 'path_lcp' element contains the paths, as described above, with an
+# ... additional 'dist' column for the distances between sequential locations
+# ... along each shortest path (i.e., time step)
+utils::head(paths_interp_3$path_lcp)
+#>   path_id timestep   cell_x  cell_y   cell_z dist
+#> 1       1       12 709572.1 6253992 86.75919   NA
+
+
    +
    +
    -
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f91ccbb..83f1c9e 100644 Binary files a/docs/reference/lcp_over_surface-9.png and b/docs/reference/lcp_over_surface-9.png differ diff --git a/docs/reference/lcp_over_surface.html b/docs/reference/lcp_over_surface.html index 4827d6a..89ef3dd 100644 --- a/docs/reference/lcp_over_surface.html +++ b/docs/reference/lcp_over_surface.html @@ -1,67 +1,12 @@ - - - - - - - -Calculate shortest path(s) and/or distance(s) over a surface between origin and destination coordinates — lcp_over_surface • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate shortest path(s) and/or distance(s) over a surface between origin and destination coordinates — lcp_over_surface • flapper - - - - + + -
    -
    - -
    - -
    +

    Calculate shortest path(s) and/or distance(s) over a surface between origin and destination coordinates

    - Source: R/lcps.R + Source: R/lcps.R
    -

    This function computes the shortest path(s) and/or distance(s) over a surface between origin and destination coordinates. To implement this function, origin and destination coordinates need to be specified as matrices and the surface over which movement occurs should be supplied as a raster. Since determining shortest paths can be computationally and memory-intensive, the surface can be reduced in size and/or resolution before these are computed, by (a) cropping the surface within user-defined extents; (b) focusing on a buffer zone along a Euclidean transect connecting origin and destination coordinates; (c) aggregating the surface to reduce the resolution; and/or (d) masking out areas over which movement is impossible (e.g., land for marine animals). Then, the function computes distances between connected cells, given (a) the planar distances between connected cells and (b) their difference in elevation. These distances are taken as a measure of `cost'. For each pair of origin and destination coordinates, or for all combinations of coordinates, these distances are used to compute the least-cost (i.e., shortest) path and/or the distance of this path, using functions in the cppRouting or gdistance package. The function returns the shortest path(s) and/or their distance(s) (m) along with a plot and a list of objects involved in the calculations.

    +

    This function computes the shortest path(s) and/or distance(s) over a surface between origin and destination coordinates. To implement this function, origin and destination coordinates need to be specified as matrices and the surface over which movement occurs should be supplied as a raster. Since determining shortest paths can be computationally and memory-intensive, the surface can be reduced in size and/or resolution before these are computed, by (a) cropping the surface within user-defined extents; (b) focusing on a buffer zone along a Euclidean transect connecting origin and destination coordinates; (c) aggregating the surface to reduce the resolution; and/or (d) masking out areas over which movement is impossible (e.g., land for marine animals). Then, the function computes distances between connected cells, given (a) the planar distances between connected cells and (b) their difference in elevation. These distances are taken as a measure of `cost'. For each pair of origin and destination coordinates, or for all combinations of coordinates, these distances are used to compute the least-cost (i.e., shortest) path and/or the distance of this path, using functions in the cppRouting or gdistance package. The function returns the shortest path(s) and/or their distance(s) (m) along with a plot and a list of objects involved in the calculations.

    - 
    lcp_over_surface(
-  origin,
-  destination,
-  surface,
-  crop = NULL,
-  buffer = NULL,
-  aggregate = NULL,
-  mask = NULL,
-  mask_inside = TRUE,
-  plot = TRUE,
-  goal = 1,
-  combination = "pair",
-  method = "cppRouting",
-  cppRouting_algorithm = "bi",
-  cl = NULL,
-  varlist = NULL,
-  use_all_cores = FALSE,
-  check = TRUE,
-  verbose = TRUE
-)
    +
    + 
    lcp_over_surface(
+  origin,
+  destination,
+  surface,
+  crop = NULL,
+  buffer = NULL,
+  aggregate = NULL,
+  mask = NULL,
+  mask_inside = TRUE,
+  plot = TRUE,
+  goal = 1,
+  combination = "pair",
+  method = "cppRouting",
+  cppRouting_algorithm = "bi",
+  cl = NULL,
+  varlist = NULL,
+  use_all_cores = FALSE,
+  check = TRUE,
+  verbose = TRUE
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    origin

    A matrix which defines the coordinates (x, y) of the starting location(s). Coordinates should lie on a plane (i.e., Universal Transverse Mercator projection).

    destination

    A matrix which defines the coordinates (x, y) of the finishing location(s). Coordinates should lie on a plane (i.e., Universal Transverse Mercator projection).

    surface

    A raster over which the object (e.g., individual) must move from origin to destination. The surface must be planar (i.e., Universal Transverse Mercator projection) with units of metres in x, y and z directions (m). The surface's resolution is taken to define the distance between horizontally and vertically connected cells and must be the same in both x and y directions (for surface's with unequal horizontal resolution, resample can be used to equalise resolution: see Examples). Any cells with NA values (e.g., due to missing data) are treated as `impossible' to move though by the algorithm. In this case, the surface might need to be pre-processed so that NAs are replaced/removed before implementing the function, depending on their source.

    crop

    (optional) An extent object that is used to crop the extent of the surface, before the least-cost algorithms are implemented. This may be useful for large rasters to reduce memory requirements/computation time.

    buffer

    (optional) A named list of arguments, passed to gBuffer (e.g. buffer = list(width = 1000)) (m) that is used to define a buffer around a Euclidean transect connecting the origin and destination. (This option can only be implemented for a single origin and destination pair.) The surface is then cropped to the extent of this buffer before the least-cost algorithms are implemented. This may be useful for large rasters to reduce memory requirements and/or computation time.

    aggregate

    (optional) A named list of arguments, passed to aggregate, to aggregate raster cells before the least-cost algorithms are implemented. This may be useful for large rasters to reduce memory requirements and/or computation time.

    mask

    (optional) A Raster or Spatial mask that is used to prevent movement over `impossible' areas on the surface. This must also lie on a planar surface (i.e., Universal Transverse Mercator projection). For example, for marine animals, mask might be a SpatialPolygonsDataFrame which defines the coastline. The effect of the mask depends on mask_inside (see below).

    mask_inside

    A logical input that defines whether or not to mask the surface inside (TRUE) or outside (FALSE) of the mask (see mask_io).

    plot

    A logical input that defines whether or not to plot the inputted and processed surfaces. If TRUE, the inputted and processed plots are produced side-by-side. For the inputted surface, the mask and the region selected (via crop and/or buffer) are shown along with the origin and destination. For the processed surface, the surface and the origin and destination are shown, along with the shortest path(s) (if and once computed: see goal). This is useful for checking that any surface processing steps have been applied correctly and the origin and destination are positioned correctly on the surface.

    goal

    An integer that defines the output of the function: goal = 1 computes shortest distances, goal = 2 computes shortest paths and goal = 3 computes both shortest paths and the corresponding distances. Note that goal = 3 results in least-cost algorithms being implemented twice, which will be inefficient for large problems; in this case, use goal = 2 to compute shortest paths and then calculate their distance using outputs returned by the function (see Value).

    combination

    A character string ("pair" or "matrix") that defines whether or not to compute shortest distances/paths for (a) each sequential origin and destination pair of coordinates (combination = "pair") or (b) all combinations of origin and destination coordinates (combination = "matrix"). This argument is only applicable if there is more than one origin and destination. For combination = "pair", the number of origin and destination coordinates needs to be the same, since each origin is matched with each destination.

    method

    A character string ("cppRouting" or "gdistance") that defines the method used to compute the shortest distances between the origin and the destination. "cppRouting" is the default method. Under this option, functions in the cppRouting package are used to compute the shortest paths (get_path_pair or get_multi_paths for each pair of coordinates or for all combinations of coordinates, respectively) and/or distances (get_distance_pair or get_distance_matrix). This package implements functions written in C++ and massively outperforms the other method = "gdistance" for large problems. Otherwise, if method = "gdistance", functions in the gdistance are called iteratively to compute shortest paths (via shortestPath) or distances (via costDistance).

    cppRouting_algorithm

    A character string that defines the algorithm used to compute shortest paths or distances. This is only applicable if method = "cppRouting": method = "gdistance" implements Dijkstra's algorithm only. For shortest paths or their distances between pairs of coordinates, the options are "Dijkstra", "bi", "A*" or "NBA" for the uni-directional Dijkstra, bi-directional Dijkstra, A star unidirectional search or new bi-directional A star algorithms respectively (see get_path_pair or get_distance_pair). For shortest paths between all combinations of coordinates, cppRouting_algorithm is ignored and the Dijkstra algorithm is implemented recursively. For shortest distances between all combinations of coordinates, the options are "phast" or "mch" (see get_distance_matrix).

    use_all_cores, cl, varlist

    Parallelisation options for method = "cppRouting" (use_all_cores) or method = "gdistance" (cl and varlist) respectively. If method = "cppRouting", parallelisation is implemented via use_all_cores for computing shortest distances only (not computing shortest paths). use_all_cores is a logical input that defines whether or not to use all cores for computing shortest distance(s). If method = "gdistance", parallelisation is implemented via cl and varlist for both shortest paths and distances function calls. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    check

    A logical input that defines whether or not to check function inputs. If TRUE, internal checks are implemented to check user-inputs and whether or not inputted coordinates are in appropriate places on the processed surface (for instance, to ensure inputted coordinates do not lie over masked areas). This helps to prevent intractable error messages. If FALSE, these checks are not implemented, so function progress may be faster initially (especially for large origin/destination coordinate matrices).

    verbose

    A logical input that defines whether or not to print messages to the console to monitor function progress. This is especially useful with a large surface since the algorithms are computationally intensive.

    +
    +

    Arguments

    +
    origin
    +

    A matrix which defines the coordinates (x, y) of the starting location(s). Coordinates should lie on a plane (i.e., Universal Transverse Mercator projection).

    -

    Value

    - -

    A named list

    -

    The function returns a named list. The most important element(s) of this list are `path_lcp' and/or `dist_lcp', the shortest path(s) and/or distance(s) (m) between origin and destination coordinate pairs/combinations. `path_lcp' is returned if goal = 2 or goal = 3 and `dist_lcp' is returned if goal = 1 or goal = 3. `path_lcp' contains (a) a dataframe with the cells comprising each path (`cells'), (b) a named list containing a SpatialLines object for each path (`SpatialLines') and (c) a named list of matrices of the coordinates of each path (`coordinates'). `dist_lcp' is a (a) numeric vector or (b) matrix with the distances (m) between each pair or combination of coordinates respectively. If `dist_lcp' is computed, `dist_euclid', the Euclidean distances (m) between the origin and destination, is also returned for comparison.

    +
    destination
    +

    A matrix which defines the coordinates (x, y) of the finishing location(s). Coordinates should lie on a plane (i.e., Universal Transverse Mercator projection).

    -

    Common elements

    -

    Other elements of the list record important outputs at sequential stages of the algorithm's progression. These include the following elements: `args', a named list of user inputs; `time', a dataframe that defines the times of sequential stages in the algorithm's progression; `surface', the surface over which shortest distances are computed (this may differ from the inputted surface if any of the processing options, such as crop, have been implemented); `surface_param', a named list that defines the cell IDs, the number of rows, the number of columns, the coordinates of the implemented surface and the cell IDs of the origin and destination nodes; `cost', a named list of arguments that defines the distances (m) between connected cells under a rook's or bishop's movement (`dist_rook' and `dist_bishop'), the planar and vertical distances between connected cells (`dist_planar' and `dist_vertical') and the total distance between connected cells (`dist_total'); and `cppRouting_param' or `gdistance_param', a named list of arguments used to compute shortest paths/distances via cppRouting or gdistance (see below).

    -

    Method-specific elements

    -

    If method = "cppRouting", the `cppRouting_param' list contains a named list of arguments passed to makegraph (`makegraph_param') as well as get_path_pair (`get_path_pair_param') or get_multi_paths (`get_multi_paths_param') and/or get_distance_pair (`get_distance_pair_param') or get_distance_matrix (`get_distance_matrix_param'), depending on whether or not shortest paths and/or distances have been computed (see goal) and whether or not shortest paths/distances have been computed for each pair of coordinates or all combinations of coordinates. If method = "gdistance", this list contains a named list of arguments passed iteratively, for each pair/combination of coordinates, to shortestPath (`shortestPath_param') or costDistance (`costDistance_param'). This includes an object of class TransitionLayer (see Transition-classes), in which the transitionMatrix slot contains a (sparse) matrix that defines the ease of moving between connected cells (the reciprocal of the `dist_total' matrix).

    +
    surface
    +

    A raster over which the object (e.g., individual) must move from origin to destination. The surface must be planar (i.e., Universal Transverse Mercator projection) with units of metres in x, y and z directions (m). The surface's resolution is taken to define the distance between horizontally and vertically connected cells and must be the same in both x and y directions (for surface's with unequal horizontal resolution, resample can be used to equalise resolution: see Examples). Any cells with NA values (e.g., due to missing data) are treated as `impossible' to move though by the algorithm. In this case, the surface might need to be pre-processed so that NAs are replaced/removed before implementing the function, depending on their source.

    + + +
    crop
    +

    (optional) An extent object that is used to crop the extent of the surface, before the least-cost algorithms are implemented. This may be useful for large rasters to reduce memory requirements/computation time.

    + + +
    buffer
    +

    (optional) A named list of arguments, passed to gBuffer (e.g. buffer = list(width = 1000)) (m) that is used to define a buffer around a Euclidean transect connecting the origin and destination. (This option can only be implemented for a single origin and destination pair.) The surface is then cropped to the extent of this buffer before the least-cost algorithms are implemented. This may be useful for large rasters to reduce memory requirements and/or computation time.

    -

    Plot

    -

    If plot = TRUE, a plot is also produced of the inputted and processed surfaces that are used in the calculations, along with the shortest path(s) (if and once computed).

    -

    Details

    +
    aggregate
    +

    (optional) A named list of arguments, passed to aggregate, to aggregate raster cells before the least-cost algorithms are implemented. This may be useful for large rasters to reduce memory requirements and/or computation time.

    + +
    mask
    +

    (optional) A Raster or Spatial mask that is used to prevent movement over `impossible' areas on the surface. This must also lie on a planar surface (i.e., Universal Transverse Mercator projection). For example, for marine animals, mask might be a SpatialPolygonsDataFrame which defines the coastline. The effect of the mask depends on mask_inside (see below).

    + + +
    mask_inside
    +

    A logical input that defines whether or not to mask the surface inside (TRUE) or outside (FALSE) of the mask (see mask_io).

    + + +
    plot
    +

    A logical input that defines whether or not to plot the inputted and processed surfaces. If TRUE, the inputted and processed plots are produced side-by-side. For the inputted surface, the mask and the region selected (via crop and/or buffer) are shown along with the origin and destination. For the processed surface, the surface and the origin and destination are shown, along with the shortest path(s) (if and once computed: see goal). This is useful for checking that any surface processing steps have been applied correctly and the origin and destination are positioned correctly on the surface.

    + + +
    goal
    +

    An integer that defines the output of the function: goal = 1 computes shortest distances, goal = 2 computes shortest paths and goal = 3 computes both shortest paths and the corresponding distances. Note that goal = 3 results in least-cost algorithms being implemented twice, which will be inefficient for large problems; in this case, use goal = 2 to compute shortest paths and then calculate their distance using outputs returned by the function (see Value).

    + + +
    combination
    +

    A character string ("pair" or "matrix") that defines whether or not to compute shortest distances/paths for (a) each sequential origin and destination pair of coordinates (combination = "pair") or (b) all combinations of origin and destination coordinates (combination = "matrix"). This argument is only applicable if there is more than one origin and destination. For combination = "pair", the number of origin and destination coordinates needs to be the same, since each origin is matched with each destination.

    + + +
    method
    +

    A character string ("cppRouting" or "gdistance") that defines the method used to compute the shortest distances between the origin and the destination. "cppRouting" is the default method. Under this option, functions in the cppRouting package are used to compute the shortest paths (get_path_pair or get_multi_paths for each pair of coordinates or for all combinations of coordinates, respectively) and/or distances (get_distance_pair or get_distance_matrix). This package implements functions written in C++ and massively outperforms the other method = "gdistance" for large problems. Otherwise, if method = "gdistance", functions in the gdistance are called iteratively to compute shortest paths (via shortestPath) or distances (via costDistance).

    + + +
    cppRouting_algorithm
    +

    A character string that defines the algorithm used to compute shortest paths or distances. This is only applicable if method = "cppRouting": method = "gdistance" implements Dijkstra's algorithm only. For shortest paths or their distances between pairs of coordinates, the options are "Dijkstra", "bi", "A*" or "NBA" for the uni-directional Dijkstra, bi-directional Dijkstra, A star unidirectional search or new bi-directional A star algorithms respectively (see get_path_pair or get_distance_pair). For shortest paths between all combinations of coordinates, cppRouting_algorithm is ignored and the Dijkstra algorithm is implemented recursively. For shortest distances between all combinations of coordinates, the options are "phast" or "mch" (see get_distance_matrix).

    + + +
    use_all_cores, cl, varlist
    +

    Parallelisation options for method = "cppRouting" (use_all_cores) or method = "gdistance" (cl and varlist) respectively. If method = "cppRouting", parallelisation is implemented via use_all_cores for computing shortest distances only (not computing shortest paths). use_all_cores is a logical input that defines whether or not to use all cores for computing shortest distance(s). If method = "gdistance", parallelisation is implemented via cl and varlist for both shortest paths and distances function calls. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    + + +
    check
    +

    A logical input that defines whether or not to check function inputs. If TRUE, internal checks are implemented to check user-inputs and whether or not inputted coordinates are in appropriate places on the processed surface (for instance, to ensure inputted coordinates do not lie over masked areas). This helps to prevent intractable error messages. If FALSE, these checks are not implemented, so function progress may be faster initially (especially for large origin/destination coordinate matrices).

    + + +
    verbose
    +

    A logical input that defines whether or not to print messages to the console to monitor function progress. This is especially useful with a large surface since the algorithms are computationally intensive.

    + +
    +
    +

    Value

    -

    Methods

    -

    This function was motivated by the need to determine the shortest paths and their distances between points for benthic animals, which must move over the seabed to navigate from A to B. For these animals, especially in areas with heterogeneous bathymetric landscapes and/or coastline, the shortest path that an individual must travel to move from A and B may differ substantially from the Euclidean path that is often used as a proxy for distance in biological studies. However, this function can still be used in situations where the surface over which an individual must move is irrelevant (e.g., for a pelagic animal), by supplying a flat surface; then shortest paths/distances simply depend on the planar distances between locations and any barriers (e.g., the coastline). (However, this process will be somewhat inefficient.)

    -

    The function conceptualises an object moving across a landscape as a queen on a chessboard which can move, in eight directions around its current position, across this surface. Given the potentially large number of possible paths between an origin and destination, the surface may be reduced in extent or size before the game begins. To determine shortest path/distance over the surface between each origin and destination pair/combination, the function first considers the distance that an object must travel between pairs of connected cells. This depends on the planar distances between cells and their differences in elevation. Planar distances (\(d_p\), m) depend on the movement type: under a rook's movement (i.e., horizontally or vertically), the distance (\(d_{p,r}\)) between connected cells is extracted from the raster's resolution (which is assumed to be identical in the x and y directions); under a bishop's movement (i.e., diagonally), the distance between connected cells \(d_{p,b}\) is given by Pythagoras' Theorem: \(d_{p,b} = \sqrt{(d_{p, r}^2 + d_{p, r}^2)}\). Vertical distances (\(d_v\), m) are simply the differences in height between cells. The total distance (\(d_t\)) between any two connected cells is a combination of these distances given by Pythagoras' Theorem: \(d_t = \sqrt{(d_p^2 + d_v^2)}\). These distances are taken to define the `cost' of movement between connected cells. Thus, `costs' are symmetric (i.e., the cost of moving from A to B equals the cost of moving from B to A).

    -

    This cost surface is then used to compute the shortest path and/or distance of the shortest path between each origin and destination pair/combination using functions in the cppRouting or gdistance package. The functions implemented depend on the goal (i.e., whether the aim is to compute shortest paths, shortest distances or both) and, if there is more than one origin/destination, the combination type (i.e., whether to compute shortest paths/distances for each sequential pair of coordinates or all possible combinations of coordinates).

    -

    Warnings

    -

    The function returns a warning produced by transition which is implemented to facilitate the definition of the cost surface, before shortest paths/distances are computed by either method: `In .TfromR(x, transitionFunction, directions, symm) : transition function gives negative values'. This warning arises because the height differences between connecting cells can be negative. It can be safely ignored.

    +
    +

    A named list

    +

    The function returns a named list. The most important element(s) of this list are `path_lcp' and/or `dist_lcp', the shortest path(s) and/or distance(s) (m) between origin and destination coordinate pairs/combinations. `path_lcp' is returned if goal = 2 or goal = 3 and `dist_lcp' is returned if goal = 1 or goal = 3. `path_lcp' contains (a) a dataframe with the cells comprising each path (`cells'), (b) a named list containing a SpatialLines object for each path (`SpatialLines') and (c) a named list of matrices of the coordinates of each path (`coordinates'). `dist_lcp' is a (a) numeric vector or (b) matrix with the distances (m) between each pair or combination of coordinates respectively. If `dist_lcp' is computed, `dist_euclid', the Euclidean distances (m) between the origin and destination, is also returned for comparison.

    +
    -

    Author

    -

    Edward Lavender

    -

    Examples

    - 
    #### Example types
-# Shortest distances between a single origin and a single destination
-# Shortest paths between a single origin and a single destination
-# Shortest distances/paths between origin/destination pairs
-# Shortest distances/paths between all origin/destination combinations
+
    
+
    Common elements
    
+
    Other elements of the list record important outputs at sequential stages of the algorithm's progression. These include the following elements: `args', a named list of user inputs; `time', a dataframe that defines the times of sequential stages in the algorithm's progression; `surface', the surface over which shortest distances are computed (this may differ from the inputted surface if any of the processing options, such as crop, have been implemented); `surface_param', a named list that defines the cell IDs, the number of rows, the number of columns, the coordinates of the implemented surface and the cell IDs of the origin and destination nodes; `cost', a named list of arguments that defines the distances (m) between connected cells under a rook's or bishop's movement (`dist_rook' and `dist_bishop'), the planar and vertical distances between connected cells (`dist_planar' and `dist_vertical') and the total distance between connected cells (`dist_total'); and `cppRouting_param' or `gdistance_param', a named list of arguments used to compute shortest paths/distances via cppRouting or gdistance (see below).
    
+
    
 
-#### Simulate a hypothetical landscape
-# Define a miniature, blank landscape with appropriate dimensions
-proj_utm <- sp::CRS(SRS_string = "EPSG:32629")
-r <- raster::raster(nrows = 3, ncols = 3,
-                    crs = proj_utm,
-                    resolution = c(5, 5),
-                    ext = raster::extent(0, 15, 0, 15))
-# Define a matrix of hypothetical values for the landscape
-mat <- matrix(c(5, 10, 3,
-                2, 1, 4,
-                5, 6, 6), ncol = 3, nrow = 3, byrow = TRUE)
-r[] <- mat
-# Visualise simulated landscape
-raster::plot(r)
-
    raster::text(r)
-
    # Extract coordinates of cells
-rxy <- raster::coordinates(r)
 
 
-############################################################################
-#### Shortest distances between a single origin and a single destination
+
    
+
    Method-specific elements
    
+
    If method = "cppRouting", the `cppRouting_param' list contains a named list of arguments passed to makegraph (`makegraph_param') as well as get_path_pair (`get_path_pair_param') or get_multi_paths (`get_multi_paths_param') and/or get_distance_pair (`get_distance_pair_param') or get_distance_matrix (`get_distance_matrix_param'), depending on whether or not shortest paths and/or distances have been computed (see goal) and whether or not shortest paths/distances have been computed for each pair of coordinates or all combinations of coordinates. If method = "gdistance", this list contains a named list of arguments passed iteratively, for each pair/combination of coordinates, to shortestPath (`shortestPath_param') or costDistance (`costDistance_param'). This includes an object of class TransitionLayer (see Transition-classes), in which the transitionMatrix slot contains a (sparse) matrix that defines the ease of moving between connected cells (the reciprocal of the `dist_total' matrix).
    
+
    
 
-#### Example (1): Find the distance between a single origin and destination
-# ... using the "cppRouting" method:
-out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
-                         destination = rxy[2, , drop = FALSE],
-                         surface = r)
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:02)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'cppRouting'... 
-#> ... ... Defining nodes, edges and costs to make graph... 
-#> ... ... Constructing graph object... 
-#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
    #> Running bidirectional Dijkstra...
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:02) after ~0 minutes. 
    # Extract shortest distance
-out1$dist_lcp
-
    #> [1] 7.071068
    
-#### Example (1) continued: An explanation of function outputs
-# The function returns a list:
-# The 'args' element simply contains all inputted arguments
-out1$args
-
    #> $origin
-#>        x    y
-#> [1,] 2.5 12.5
-#> 
-#> $destination
-#>        x    y
-#> [1,] 7.5 12.5
-#> 
-#> $surface
-#> class      : RasterLayer 
-#> dimensions : 3, 3, 9  (nrow, ncol, ncell)
-#> resolution : 5, 5  (x, y)
-#> extent     : 0, 15, 0, 15  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 1, 10  (min, max)
-#> 
-#> 
-#> $crop
-#> NULL
-#> 
-#> $buffer
-#> NULL
-#> 
-#> $aggregate
-#> NULL
-#> 
-#> $mask
-#> NULL
-#> 
-#> $mask_inside
-#> [1] TRUE
-#> 
-#> $plot
-#> [1] TRUE
-#> 
-#> $goal
-#> [1] 1
-#> 
-#> $combination
-#> [1] "pair"
-#> 
-#> $method
-#> [1] "cppRouting"
-#> 
-#> $cppRouting_algorithm
-#> [1] "bi"
-#> 
-#> $cl
-#> NULL
-#> 
-#> $varlist
-#> NULL
-#> 
-#> $use_all_cores
-#> [1] FALSE
-#> 
-#> $check
-#> [1] TRUE
-#> 
-#> $verbose
-#> [1] TRUE
-#> 
    # The 'surface' element contains the surface used to compute shortest distances
-# ... This may differ from $args$surface if cropped, buffered etc.
-out1$surface
-
    #> class      : RasterLayer 
-#> dimensions : 3, 3, 9  (nrow, ncol, ncell)
-#> resolution : 5, 5  (x, y)
-#> extent     : 0, 15, 0, 15  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 1, 10  (min, max)
-#> 
    # The 'surface_param' element contains the cell IDs, number of rows, cells and coordinates
-# ... of this surface
-out1$surface_param
-
    #> $cells
-#> [1] 1 2 3 4 5 6 7 8 9
-#> 
-#> $nrow
-#> [1] 3
-#> 
-#> $ncol
-#> [1] 3
-#> 
-#> $coordinates
-#>          x    y
-#>  [1,]  2.5 12.5
-#>  [2,]  7.5 12.5
-#>  [3,] 12.5 12.5
-#>  [4,]  2.5  7.5
-#>  [5,]  7.5  7.5
-#>  [6,] 12.5  7.5
-#>  [7,]  2.5  2.5
-#>  [8,]  7.5  2.5
-#>  [9,] 12.5  2.5
-#> 
-#> $origin_cell
-#> [1] 1
-#> 
-#> $destination_cell
-#> [1] 2
-#> 
    # The 'cost' element is a list of objects that define the cost matrix:
-# ... 'dist_rook' and 'dist_bishop' are matrices which define the distance of planar
-# ... ... movement from one cell to any other cell under a rook's or bishop's movement.
-# ... ... For example, the planar distance of moving from cell 1 to cell 2 to is 5 m:
-out1$cost$dist_rook
-
    #> 9 x 9 sparse Matrix of class "dsCMatrix"
-#>                        
-#>  [1,] . 5 . 5 . . . . .
-#>  [2,] 5 . 5 . 5 . . . .
-#>  [3,] . 5 . . . 5 . . .
-#>  [4,] 5 . . . 5 . 5 . .
-#>  [5,] . 5 . 5 . 5 . 5 .
-#>  [6,] . . 5 . 5 . . . 5
-#>  [7,] . . . 5 . . . 5 .
-#>  [8,] . . . . 5 . 5 . 5
-#>  [9,] . . . . . 5 . 5 .
    out1$cost$dist_bishop
-
    #> 9 x 9 sparse Matrix of class "dsCMatrix"
-#>                                                                              
-#>  [1,] .        .        .        .        7.071068 .        .        .       
-#>  [2,] .        .        .        7.071068 .        7.071068 .        .       
-#>  [3,] .        .        .        .        7.071068 .        .        .       
-#>  [4,] .        7.071068 .        .        .        .        .        7.071068
-#>  [5,] 7.071068 .        7.071068 .        .        .        7.071068 .       
-#>  [6,] .        7.071068 .        .        .        .        .        7.071068
-#>  [7,] .        .        .        .        7.071068 .        .        .       
-#>  [8,] .        .        .        7.071068 .        7.071068 .        .       
-#>  [9,] .        .        .        .        7.071068 .        .        .       
-#>               
-#>  [1,] .       
-#>  [2,] .       
-#>  [3,] .       
-#>  [4,] .       
-#>  [5,] 7.071068
-#>  [6,] .       
-#>  [7,] .       
-#>  [8,] .       
-#>  [9,] .       
    # ... 'dist_planar' gives the planar distance between connected cell combinations
-# ... ... under a queen's movements:
-out1$cost$dist_planar
-
    #> 9 x 9 sparse Matrix of class "dsCMatrix"
-#>                                                                              
-#>  [1,] .        5.000000 .        5.000000 7.071068 .        .        .       
-#>  [2,] 5.000000 .        5.000000 7.071068 5.000000 7.071068 .        .       
-#>  [3,] .        5.000000 .        .        7.071068 5.000000 .        .       
-#>  [4,] 5.000000 7.071068 .        .        5.000000 .        5.000000 7.071068
-#>  [5,] 7.071068 5.000000 7.071068 5.000000 .        5.000000 7.071068 5.000000
-#>  [6,] .        7.071068 5.000000 .        5.000000 .        .        7.071068
-#>  [7,] .        .        .        5.000000 7.071068 .        .        5.000000
-#>  [8,] .        .        .        7.071068 5.000000 7.071068 5.000000 .       
-#>  [9,] .        .        .        .        7.071068 5.000000 .        5.000000
-#>               
-#>  [1,] .       
-#>  [2,] .       
-#>  [3,] .       
-#>  [4,] .       
-#>  [5,] 7.071068
-#>  [6,] 5.000000
-#>  [7,] .       
-#>  [8,] 5.000000
-#>  [9,] .       
    # ... 'dist_vertical' gives the vertical distance between connected cells
-out1$cost$dist_vertical
-
    #> 9 x 9 sparse Matrix of class "dsCMatrix"
-#>                              
-#>  [1,]  .  5  . -3 -4  . . . .
-#>  [2,]  5  . -7 -8 -9 -6 . . .
-#>  [3,]  . -7  .  . -2  1 . . .
-#>  [4,] -3 -8  .  . -1  . 3 4 .
-#>  [5,] -4 -9 -2 -1  .  3 4 5 5
-#>  [6,]  . -6  1  .  3  . . 2 2
-#>  [7,]  .  .  .  3  4  . . 1 .
-#>  [8,]  .  .  .  4  5  2 1 . .
-#>  [9,]  .  .  .  .  5  2 . . .
    # ... and 'dist_total' gives the total distance between connected cells
-out1$cost$dist_total
-
    #> 9 x 9 sparse Matrix of class "dsCMatrix"
-#>                                                                        
-#>  [1,] .         7.071068 .         5.830952  8.124038 .        .       
-#>  [2,] 7.071068  .        8.602325 10.677078 10.295630 9.273618 .       
-#>  [3,] .         8.602325 .         .         7.348469 5.099020 .       
-#>  [4,] 5.830952 10.677078 .         .         5.099020 .        5.830952
-#>  [5,] 8.124038 10.295630 7.348469  5.099020  .        5.830952 8.124038
-#>  [6,] .         9.273618 5.099020  .         5.830952 .        .       
-#>  [7,] .         .        .         5.830952  8.124038 .        .       
-#>  [8,] .         .        .         8.124038  7.071068 7.348469 5.099020
-#>  [9,] .         .        .         .         8.660254 5.385165 .       
-#>                        
-#>  [1,] .        .       
-#>  [2,] .        .       
-#>  [3,] .        .       
-#>  [4,] 8.124038 .       
-#>  [5,] 7.071068 8.660254
-#>  [6,] 7.348469 5.385165
-#>  [7,] 5.099020 .       
-#>  [8,] .        5.000000
-#>  [9,] 5.000000 .       
    # 'dist_euclid' is the Euclidean distance between the origin and destination
-out1$dist_euclid
-
    #> [1] 5
    # 'cppRouting_param' contains lists of parameters passed to (a) makegraph() and (b)
-# ... get_distance_matrix() to compute shortest distances using cppRouting
-utils::str(out1$cppRouting_param)
-
    #> List of 2
-#>  $ makegraph_param        :List of 3
-#>   ..$ df      :'data.frame':	40 obs. of  3 variables:
-#>   .. ..$ from: int [1:40] 2 3 4 4 5 5 5 5 6 6 ...
-#>   .. ..$ to  : int [1:40] 1 2 1 2 1 2 3 4 2 3 ...
-#>   .. ..$ cost: num [1:40] 7.07 8.6 5.83 10.68 8.12 ...
-#>   ..$ directed: logi FALSE
-#>   ..$ coords  :'data.frame':	9 obs. of  3 variables:
-#>   .. ..$ node: int [1:9] 1 2 3 4 5 6 7 8 9
-#>   .. ..$ X   : num [1:9] 2.5 7.5 12.5 2.5 7.5 12.5 2.5 7.5 12.5
-#>   .. ..$ Y   : num [1:9] 12.5 12.5 12.5 7.5 7.5 7.5 2.5 2.5 2.5
-#>  $ get_distance_pair_param:List of 5
-#>   ..$ Graph    :List of 4
-#>   .. ..$ data  :'data.frame':	40 obs. of  3 variables:
-#>   .. .. ..$ from: int [1:40] 0 0 0 0 0 1 1 1 2 2 ...
-#>   .. .. ..$ to  : int [1:40] 8 1 2 3 4 0 3 4 8 0 ...
-#>   .. .. ..$ dist: num [1:40] 7.07 8.6 10.68 10.3 9.27 ...
-#>   .. ..$ coords:'data.frame':	9 obs. of  3 variables:
-#>   .. .. ..$ node: chr [1:9] "2" "3" "4" "5" ...
-#>   .. .. ..$ X   : num [1:9] 7.5 12.5 2.5 7.5 12.5 2.5 7.5 12.5 2.5
-#>   .. .. ..$ Y   : num [1:9] 12.5 12.5 7.5 7.5 7.5 2.5 2.5 2.5 12.5
-#>   .. ..$ nbnode: int 9
-#>   .. ..$ dict  :'data.frame':	9 obs. of  2 variables:
-#>   .. .. ..$ ref: chr [1:9] "2" "3" "4" "5" ...
-#>   .. .. ..$ id : int [1:9] 0 1 2 3 4 5 6 7 8
-#>   ..$ from     : num 1
-#>   ..$ to       : num 2
-#>   ..$ algorithm: chr "bi"
-#>   ..$ allcores : logi FALSE
    # 'time' records the time of each stage
-out1$time
-
    #>                       event                time   serial_duration
-#> 1                     onset 2022-06-17 10:06:02 0.0504231453 secs
-#> 2         surface_processed 2022-06-17 10:06:02 0.0192210674 secs
-#> 3 transition_matrix_defined 2022-06-17 10:06:02 0.0028679371 secs
-#> 4             graph_defined 2022-06-17 10:06:02 0.0006659031 secs
-#> 5          dist_lcp_defined 2022-06-17 10:06:02 0.0002880096 secs
-#> 6                    finish 2022-06-17 10:06:02           NA secs
    
-#### Example (2): Find the distance between a single origin and destination
-# ... using the "gdistance" method
-out2 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
-                         destination = rxy[2, , drop = FALSE],
-                         surface = r,
-                         method = "gdistance"
-                         )
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:02)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'gdistance'... 
-#> ... ... Defining 'ease' matrix... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
-#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:02) after ~0 minutes. 
    # Extract distance
-out2$dist_lcp
-
    #> [1] 7.071068
    # Elements of the returned list are the same apart from 'gdistance_param'
-# ... which contains a list of arguments passed to costDistance() to compute
-# ... shortest distances
-utils::str(out2$gdistance_param)
-
    #> List of 1
-#>  $ costDistance_param:List of 3
-#>   ..$ x         :Formal class 'TransitionLayer' [package "gdistance"] with 12 slots
-#>   .. .. ..@ title           : chr(0) 
-#>   .. .. ..@ extent          :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. ..@ xmin: num 0
-#>   .. .. .. .. ..@ xmax: num 15
-#>   .. .. .. .. ..@ ymin: num 0
-#>   .. .. .. .. ..@ ymax: num 15
-#>   .. .. ..@ rotated         : logi FALSE
-#>   .. .. ..@ rotation        :Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. ..@ transfun:function ()  
-#>   .. .. ..@ ncols           : int 3
-#>   .. .. ..@ nrows           : int 3
-#>   .. .. ..@ crs             :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. ..@ projargs: chr "+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs"
-#>   .. .. ..@ history         : list()
-#>   .. .. ..@ z               : list()
-#>   .. .. ..@ transitionMatrix:Formal class 'dsCMatrix' [package "Matrix"] with 7 slots
-#>   .. .. .. .. ..@ i       : int [1:20] 0 1 0 1 0 1 2 3 1 2 ...
-#>   .. .. .. .. ..@ p       : int [1:10] 0 0 1 2 4 8 11 13 17 20
-#>   .. .. .. .. ..@ Dim     : int [1:2] 9 9
-#>   .. .. .. .. ..@ Dimnames:List of 2
-#>   .. .. .. .. .. ..$ : NULL
-#>   .. .. .. .. .. ..$ : NULL
-#>   .. .. .. .. ..@ x       : num [1:20] 0.1414 0.1162 0.1715 0.0937 0.1231 ...
-#>   .. .. .. .. ..@ uplo    : chr "U"
-#>   .. .. .. .. ..@ factors : list()
-#>   .. .. ..@ transitionCells : int [1:9] 1 2 3 4 5 6 7 8 9
-#>   .. .. ..@ matrixValues    : chr "conductance"
-#>   ..$ fromCoords: num [1, 1:2] 2.5 12.5
-#>   .. ..- attr(*, "dimnames")=List of 2
-#>   .. .. ..$ : NULL
-#>   .. .. ..$ : chr [1:2] "x" "y"
-#>   ..$ toCoords  : num [1, 1:2] 7.5 12.5
-#>   .. ..- attr(*, "dimnames")=List of 2
-#>   .. .. ..$ : NULL
-#>   .. .. ..$ : chr [1:2] "x" "y"
    
-#### Example (3): Find the distances between other origins and destinations
-## Implement function to determine shortest distances:
-# shortest distance between cell 1 and 6 via gdistance
-lcp_over_surface(origin = rxy[1, , drop = FALSE],
-                 destination = rxy[6, , drop = FALSE],
-                 surface = r,
-                 method = "gdistance",
-                 verbose = FALSE)$dist_lcp
-
    #> Warning: transition function gives negative values
    #> [1] 13.95499
    # shortest distance between cell 1 and 6 via cppRouting
-lcp_over_surface(origin = rxy[1, , drop = FALSE],
-                 destination = rxy[6, , drop = FALSE],
-                 surface = r,
-                 method = "cppRouting",
-                 verbose = FALSE)$dist_lcp
-
    #> Warning: transition function gives negative values
    #> Running bidirectional Dijkstra...
    #> [1] 13.95499
    ## Compare to manually computed distances
-# The shortest distance from cell 1 to cell 6 is to move diagonally
-# ... from cell 1 to 5 and then 6.
-# Define planar distances of moving like a rook (d_pr) or bishop (d_pb)
-d_pr <- 5
-d_pb <- sqrt(5^2 + 5^2)
-# Define total distance travelled along shortest path, as computed by the
-# ... algorithm to demonstrate we obtain the same value:
-sqrt((5 - 1)^2 + d_pb^2) + sqrt((4 - 1)^2 + d_pr^2)
-
    #> [1] 13.95499
    
-#### Example (4): Find the shortest distances around NAs
-## Force the 5th cell to be NA
-rtmp <- r
-rtmp[5] <- NA
-raster::plot(rtmp); raster::text(rtmp)
-
    ## Compute shortest distances via algorithm:
-# Now compute shortest distances, which we can see have increased the distance
-# ... since movement through an NA cell is not allowed. Therefore, if this NA
-# ... reflects missing data, it may be appropriate to interpolate NAs using
-# ... surrounding cells (e.g., see raster::approxNA()) so that movement
-# ... is possible through these cells
-out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
-                         destination = rxy[6, , drop = FALSE],
-                         surface = rtmp,
-                         method = "gdistance",
-                         verbose = FALSE)
-
    #> Warning: transition function gives negative values
    out2 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
-                         destination = rxy[6, , drop = FALSE],
-                         surface = rtmp,
-                         method = "cppRouting",
-                         verbose = FALSE)
-
    #> Warning: transition function gives negative values
    #> Running bidirectional Dijkstra...
    out1$dist_lcp; out2$dist_lcp
-
    #> [1] 16.34469
    #> [1] 16.34469
    ## Compare to manual calculations of shortest route:
-# Route option one: cell 1 to 2, 2 to 6
-sqrt((5 - 10)^2 + d_pr^2) + sqrt((10 - 4)^2 + d_pb^2)
-
    #> [1] 16.34469
    # Or, using the numbers computed in the dist_total object:
-out1$cost$dist_total[1, 2] + out1$cost$dist_total[2, 6]
-
    #> [1] 16.34469
    ## Compare to effect of making a value in the landscape extremely large
-# In the same way, we can force the shortest path away from particular areas
-# ... by making the height of the landscape in those areas very large or Inf:
-rtmp[5] <- 1e20
-raster::plot(rtmp); raster::text(rtmp)
-
    lcp_over_surface(origin = rxy[1, , drop = FALSE],
-                 destination = rxy[6, , drop = FALSE],
-                 surface = rtmp,
-                 method = "cppRouting",
-                 verbose = FALSE)$dist_lcp
-
    #> Warning: transition function gives negative values
    #> Running bidirectional Dijkstra...
    #> [1] 16.34469
    lcp_over_surface(origin = rxy[1, , drop = FALSE],
-                 destination = rxy[6, , drop = FALSE],
-                 surface = rtmp,
-                 method = "gdistance",
-                 verbose = FALSE)$dist_lcp
-
    #> Warning: transition function gives negative values
    #> [1] 16.34469
    
-#### Example (4): Find the distances between points on a real landscape
-## We will use some example bathymetry data:
-dat_gebco_oban <- prettyGraphics::dat_gebco
-raster::plot(dat_gebco_oban)
-
    ## Process bathymetry data before function implementation
-# (a) Define utm coordinates:
-dat_gebco_utm <- raster::projectRaster(dat_gebco_oban, crs = proj_utm)
-raster::res(dat_gebco_utm)
-
    #> [1] 257 463
    # (b) Resample so that the resolution in the x and y directions is identical
-dat_gebco_utm_planar <- raster::raster(crs = proj_utm,
-                                       ext = raster::extent(dat_gebco_utm),
-                                       resolution = 250)
-dat_gebco_utm_planar <- raster::resample(dat_gebco_utm, dat_gebco_utm_planar, method = "bilinear")
-# Examine processed raster
-pp <- par(mfrow = c(1, 2))
-raster::plot(dat_gebco_utm, main = "UTM raster")
-raster::plot(dat_gebco_utm_planar, main = "UTM raster with equal res")
-
    par(pp)
-## Define example origin and destination
-set.seed(1)
-dat_gebco_utm_planar_xy <- raster::coordinates(dat_gebco_utm_planar)
-index       <- sample(1:nrow(dat_gebco_utm_planar_xy), 2)
-origin      <- dat_gebco_utm_planar_xy[index[1], , drop = FALSE]
-destination <- dat_gebco_utm_planar_xy[index[2], , drop = FALSE]
-## Implement function to compute shortest distances
-out_gebco1 <- lcp_over_surface(origin = origin,
-                               destination = destination,
-                               surface = dat_gebco_utm_planar,
-                               method = "gdistance")
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:03)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'gdistance'... 
-#> ... ... Defining 'ease' matrix... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
-#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:03) after ~0 minutes. 
    out_gebco2 <- lcp_over_surface(origin = origin,
-                               destination = destination,
-                               surface = dat_gebco_utm_planar,
-                              method = "cppRouting")
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:03)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'cppRouting'... 
-#> ... ... Defining nodes, edges and costs to make graph... 
-#> ... ... Constructing graph object... 
-#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
    #> Running bidirectional Dijkstra...
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:03) after ~0 minutes. 
    # Compare Euclidean and shortest distances
-out_gebco1$dist_euclid; out_gebco1$dist_lcp
-
    #> [1] 8902.247
    #> [1] 9278.626
    out_gebco2$dist_euclid; out_gebco2$dist_lcp
-
    #> [1] 8902.247
    #> [1] 9278.626
    
-#### Example (5A): Reduce the complexity of the landscape by cropping
-ext <- raster::extent(dat_gebco_utm_planar)
-ext[3] <- 6255000
-ext[4] <- 6265000
-out_gebco1 <- lcp_over_surface(origin = origin,
-                               destination = destination,
-                               surface = dat_gebco_utm_planar,
-                               method = "gdistance",
-                               crop = ext)
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:03)... 
-#> ... Checking user inputs... 
-#> ... Cropping raster to inputted extent... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'gdistance'... 
-#> ... ... Defining 'ease' matrix... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
-#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:04) after ~0 minutes. 
    out_gebco1$dist_lcp
-
    #> [1] 9278.626
    
-#### Example (5B): Reduce the complexity of the landscape around a buffer
-out_gebco1 <- lcp_over_surface(origin = origin,
-                               destination = destination,
-                               surface = dat_gebco_utm_planar,
-                               method = "gdistance",
-                               buffer = list(width = 1000))
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:04)... 
-#> ... Checking user inputs... 
-#> ... Cropping raster to buffer zone around a Euclidean transect between the origin and destination... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'gdistance'... 
-#> ... ... Defining 'ease' matrix... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
-#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:04) after ~0 minutes. 
    out_gebco1$dist_lcp
-
    #> [1] 9278.626
    
-#### Example (5C): Reduce the complexity of the landscape via aggregation
-out_gebco1 <- lcp_over_surface(origin = origin,
-                               destination = destination,
-                               surface = dat_gebco_utm_planar,
-                               method = "gdistance",
-                               buffer = list(width = 1000),
-                               aggregate = list(fact = 5, fun = mean, na.rm = TRUE))
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:04)... 
-#> ... Checking user inputs... 
-#> ... Cropping raster to buffer zone around a Euclidean transect between the origin and destination... 
-#> ... Aggregating raster... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'gdistance'... 
-#> ... ... Defining 'ease' matrix... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
-#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:04) after ~0 minutes. 
    out_gebco1$dist_lcp
-
    #> [1] 10088.96
    
-#### Example (6C): Implement a mask
-# Define coastline
-dat_coast_around_oban <- prettyGraphics::dat_coast_around_oban
-coastline <- sp::spTransform(dat_coast_around_oban, proj_utm)
-
    #> Warning: NULL source CRS comment, falling back to PROJ string
    # Visualise bathymetry and coastline
-raster::plot(dat_gebco_utm_planar)
-
    raster::lines(coastline)
-
    # Define example origin and destination within the sea
-origin      <- matrix(c(714000, 6260000), ncol = 2)
-destination <- matrix(c(721000, 6265000), ncol = 2)
-# Implement algorithm
-out_gebco1 <- lcp_over_surface(origin = origin,
-                               destination = destination,
-                               surface = dat_gebco_utm_planar,
-                               method = "gdistance",
-                               crop = raster::extent(coastline),
-                               mask = coastline,
-                               mask_inside = TRUE)
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:04)... 
-#> ... Checking user inputs... 
-#> ... Cropping raster to inputted extent... 
-#> ... Masking raster... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'gdistance'... 
-#> ... ... Defining 'ease' matrix... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
-#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:04) after ~0 minutes. 
    out_gebco2 <- lcp_over_surface(origin = origin,
-                               destination = destination,
-                               surface = dat_gebco_utm_planar,
-                               method = "cppRouting",
-                               crop = raster::extent(coastline),
-                               mask = coastline,
-                               mask_inside = TRUE)
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:04)... 
-#> ... Checking user inputs... 
-#> ... Cropping raster to inputted extent... 
-#> ... Masking raster... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'cppRouting'... 
-#> ... ... Defining nodes, edges and costs to make graph... 
-#> ... ... Constructing graph object... 
-#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
    #> Running bidirectional Dijkstra...
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:04) after ~0 minutes. 
    # Compare Euclidean and least-cost distances
-out_gebco1$dist_euclid; out_gebco1$dist_lcp
-
    #> [1] 8602.325
    #> [1] 9071.48
    out_gebco2$dist_euclid; out_gebco2$dist_lcp
-
    #> [1] 8602.325
    #> [1] 9071.48
    
-#### Example (7) Implement shortest distance algorithms in parallel:
-# With the default method ("cppRouting"), use use_all_cores = TRUE
-out_gebco1 <- lcp_over_surface(origin = origin,
-                               destination = destination,
-                               surface = dat_gebco_utm_planar,
-                               method = "cppRouting",
-                               crop = raster::extent(coastline),
-                               mask = coastline,
-                               mask_inside = TRUE,
-                               use_all_cores = TRUE)
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:04)... 
-#> ... Checking user inputs... 
-#> ... Cropping raster to inputted extent... 
-#> ... Masking raster... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'cppRouting'... 
-#> ... ... Defining nodes, edges and costs to make graph... 
-#> ... ... Constructing graph object... 
-#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
    #> Running bidirectional Dijkstra...
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:04) after ~0 minutes. 
    # With method = "gdistance" use cl argument
-out_gebco2 <- lcp_over_surface(origin = origin,
-                               destination = destination,
-                               surface = dat_gebco_utm_planar,
-                               method = "cppRouting",
-                               crop = raster::extent(coastline),
-                               mask = coastline,
-                               mask_inside = TRUE,
-                               cl = parallel::makeCluster(2L))
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:04)... 
-#> ... Checking user inputs... 
    #> 'cl' or 'varlist' arguments ignored for method = 'cppRouting': use use_all_cores = TRUE instead.
    #> ... Cropping raster to inputted extent... 
-#> ... Masking raster... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'cppRouting'... 
-#> ... ... Defining nodes, edges and costs to make graph... 
-#> ... ... Constructing graph object... 
-#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
    #> Running bidirectional Dijkstra...
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:05) after ~0.01 minutes. 
    out_gebco1$dist_lcp; out_gebco2$dist_lcp
-
    #> [1] 9071.48
    #> [1] 9071.48
    
 
-############################################################################
-#### Shortest paths between a single origin and a single destination
 
-#### Example (8) Shortest paths (goal = 2) only using default method
-# Implement function
-out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
-                         destination = rxy[6, , drop = FALSE],
-                         surface = r,
-                         goal = 2)
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:05)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Using method = 'cppRouting'... 
-#> ... ... Defining nodes, edges and costs to make graph... 
-#> ... ... Constructing graph object... 
-#> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
    #> Running bidirectional Dijkstra...
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:05) after ~0 minutes. 
    # The path is stored in path_lcp, This includes:
-# ... (a) a dataframe with the cells comprising each path:
-# ... (b) a SpatialLines object of the path
-# ... (c) a matrix of the coordinates of the path
-out1$path_lcp
-
    #> $cells
-#>   path_id path origin destination cell
-#> 1       1  1-6      1           6    1
-#> 2       1  1-6      1           6    5
-#> 3       1  1-6      1           6    6
-#> 
-#> $SpatialLines
-#> $SpatialLines$`1`
-#> class       : SpatialLines 
-#> features    : 1 
-#> extent      : 2.5, 12.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> 
-#> 
-#> $coordinates
-#> $coordinates$`1`
-#>         x    y
-#> [1,]  2.5 12.5
-#> [2,]  7.5  7.5
-#> [3,] 12.5  7.5
-#> 
-#> 
    # For method = "cppRouting", paths between pairs of coordinates are computed
-# ... by cppRouting::get_path_pair(), the arguments of which are retained in
-# ... this list:
-out1$cppRouting_param$get_path_pair_param
-
    #> $Graph
-#> $Graph$data
-#>    from to      dist
-#> 1     0  8  7.071068
-#> 2     0  1  8.602325
-#> 3     0  2 10.677078
-#> 4     0  3 10.295630
-#> 5     0  4  9.273618
-#> 6     1  0  8.602325
-#> 7     1  3  7.348469
-#> 8     1  4  5.099020
-#> 9     2  8  5.830952
-#> 10    2  0 10.677078
-#> 11    2  3  5.099020
-#> 12    2  5  5.830952
-#> 13    2  6  8.124038
-#> 14    3  8  8.124038
-#> 15    3  0 10.295630
-#> 16    3  1  7.348469
-#> 17    3  2  5.099020
-#> 18    3  4  5.830952
-#> 19    3  5  8.124038
-#> 20    3  6  7.071068
-#> 21    3  7  8.660254
-#> 22    4  0  9.273618
-#> 23    4  1  5.099020
-#> 24    4  3  5.830952
-#> 25    4  6  7.348469
-#> 26    4  7  5.385165
-#> 27    5  2  5.830952
-#> 28    5  3  8.124038
-#> 29    5  6  5.099020
-#> 30    6  2  8.124038
-#> 31    6  3  7.071068
-#> 32    6  4  7.348469
-#> 33    6  5  5.099020
-#> 34    6  7  5.000000
-#> 35    7  3  8.660254
-#> 36    7  4  5.385165
-#> 37    7  6  5.000000
-#> 38    8  0  7.071068
-#> 39    8  2  5.830952
-#> 40    8  3  8.124038
-#> 
-#> $Graph$coords
-#>   node    X    Y
-#> 2    2  7.5 12.5
-#> 3    3 12.5 12.5
-#> 4    4  2.5  7.5
-#> 5    5  7.5  7.5
-#> 6    6 12.5  7.5
-#> 7    7  2.5  2.5
-#> 8    8  7.5  2.5
-#> 9    9 12.5  2.5
-#> 1    1  2.5 12.5
-#> 
-#> $Graph$nbnode
-#> [1] 9
-#> 
-#> $Graph$dict
-#>   ref id
-#> 1   2  0
-#> 2   3  1
-#> 3   4  2
-#> 4   5  3
-#> 5   6  4
-#> 6   7  5
-#> 7   8  6
-#> 8   9  7
-#> 9   1  8
-#> 
-#> 
-#> $from
-#> [1] 1
-#> 
-#> $to
-#> [1] 6
-#> 
-#> $algorithm
-#> [1] "bi"
-#> 
-#> $constant
-#> [1] 1
-#> 
-#> $keep
-#> NULL
-#> 
-#> $long
-#> [1] TRUE
-#> 
    # Note the path is also added to the plot produced, if plot = TRUE.
+
    
+
    Plot
    
+
    If plot = TRUE, a plot is also produced of the inputted and processed surfaces that are used in the calculations, along with the shortest path(s) (if and once computed).
    
+
    
 
-#### Example (9) Shortest distances and paths (goal = 3) using default method
-out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
-                         destination = rxy[6, , drop = FALSE],
-                         surface = r,
-                         goal = 3)
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:05)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'cppRouting'... 
-#> ... ... Defining nodes, edges and costs to make graph... 
-#> ... ... Constructing graph object... 
-#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
    #> Running bidirectional Dijkstra...
    #> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
    #> Running bidirectional Dijkstra...
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:05) after ~0 minutes. 
    out1$dist_lcp; out1$path_lcp
-
    #> [1] 13.95499
    #> $cells
-#>   path_id path origin destination cell
-#> 1       1  1-6      1           6    1
-#> 2       1  1-6      1           6    5
-#> 3       1  1-6      1           6    6
-#> 
-#> $SpatialLines
-#> $SpatialLines$`1`
-#> class       : SpatialLines 
-#> features    : 1 
-#> extent      : 2.5, 12.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> 
-#> 
-#> $coordinates
-#> $coordinates$`1`
-#>         x    y
-#> [1,]  2.5 12.5
-#> [2,]  7.5  7.5
-#> [3,] 12.5  7.5
-#> 
-#> 
    
-#### Example (10) Shortest distances and paths (goal = 3) via gdistance
-out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
-                         destination = rxy[6, , drop = FALSE],
-                         surface = r,
-                         goal = 3,
-                         method = "gdistance")
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:05)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'gdistance'... 
-#> ... ... Defining 'ease' matrix... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... 
-#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:05) after ~0 minutes. 
    # As above, paths are stored in path_lcp and distances in dist_lcp
-out1$path_lcp
-
    #> $cells
-#>   path_id path origin destination cell
-#> 1       1  1-6      1           6    1
-#> 2       1  1-6      1           6    5
-#> 3       1  1-6      1           6    6
-#> 
-#> $SpatialLines
-#> $SpatialLines$`1`
-#> class       : SpatialLines 
-#> features    : 1 
-#> extent      : 2.5, 12.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> 
-#> 
-#> $coordinates
-#> $coordinates$`1`
-#>         x    y
-#> [1,]  2.5 12.5
-#> [2,]  7.5  7.5
-#> [3,] 12.5  7.5
-#> 
-#> 
    # For method = "gdistance", paths between pairs of coordinates are computed
-# ... by repeated calls to gdistance::shortestPath(), for each pair of coordinates
-# ... in the following list of arguments:
-out1$gdistance_param$shortestPath_param
-
    #> $x
-#> class      : TransitionLayer 
-#> dimensions : 3, 3, 9  (nrow, ncol, ncell)
-#> resolution : 5, 5  (x, y)
-#> extent     : 0, 15, 0, 15  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> values      : conductance 
-#> matrix class: dsCMatrix 
-#> 
-#> $fromCoords
-#>        x    y
-#> [1,] 2.5 12.5
-#> 
-#> $toCoords
-#>         x   y
-#> [1,] 12.5 7.5
-#> 
    
-#### Example (11): Parallelisation proceeds as described above via
-# ... use_all_cores or cl arguments. For cppRouting, parallelisation
-# ... is only implemented for distance calculations (so not if goal = 2),
-# ... while parallelisation is implemented for both distance and shortest
-# ... paths for method = "gdistance"
-out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
-                         destination = rxy[6, , drop = FALSE],
-                         surface = r,
-                         goal = 3,
-                         use_all_cores = TRUE)
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:05)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'cppRouting'... 
-#> ... ... Defining nodes, edges and costs to make graph... 
-#> ... ... Constructing graph object... 
-#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
    #> Running bidirectional Dijkstra...
    #> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
    #> Running bidirectional Dijkstra...
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:05) after ~0 minutes. 
    out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
-                         destination = rxy[6, , drop = FALSE],
-                         surface = r,
-                         goal = 2,
-                         method = "gdistance",
-                         cl = parallel::makeCluster(2L))
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:05)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Using method = 'gdistance'... 
-#> ... ... Defining 'ease' matrix... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... 
-#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:10) after ~0.08 minutes. 
    out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
-                         destination = rxy[6, , drop = FALSE],
-                         surface = r,
-                         goal = 3,
-                         method = "gdistance",
-                         cl = parallel::makeCluster(2L))
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:10)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'gdistance'... 
-#> ... ... Defining 'ease' matrix... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... 
-#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:15) after ~0.08 minutes. 
    
 
-############################################################################
-#### Shortest distances/paths between origin/destination pairs
+    
    
+    
    
+    
    Details
    
+    
+
    
+
    Methods
    
+
    This function was motivated by the need to determine the shortest paths and their distances between points for benthic animals, which must move over the seabed to navigate from A to B. For these animals, especially in areas with heterogeneous bathymetric landscapes and/or coastline, the shortest path that an individual must travel to move from A and B may differ substantially from the Euclidean path that is often used as a proxy for distance in biological studies. However, this function can still be used in situations where the surface over which an individual must move is irrelevant (e.g., for a pelagic animal), by supplying a flat surface; then shortest paths/distances simply depend on the planar distances between locations and any barriers (e.g., the coastline). (However, this process will be somewhat inefficient.)
    
+
    The function conceptualises an object moving across a landscape as a queen on a chessboard which can move, in eight directions around its current position, across this surface. Given the potentially large number of possible paths between an origin and destination, the surface may be reduced in extent or size before the game begins. To determine shortest path/distance over the surface between each origin and destination pair/combination, the function first considers the distance that an object must travel between pairs of connected cells. This depends on the planar distances between cells and their differences in elevation. Planar distances (\(d_p\), m) depend on the movement type: under a rook's movement (i.e., horizontally or vertically), the distance (\(d_{p,r}\)) between connected cells is extracted from the raster's resolution (which is assumed to be identical in the x and y directions); under a bishop's movement (i.e., diagonally), the distance between connected cells \(d_{p,b}\) is given by Pythagoras' Theorem: \(d_{p,b} = \sqrt{(d_{p, r}^2 + d_{p, r}^2)}\). Vertical distances (\(d_v\), m) are simply the differences in height between cells. The total distance (\(d_t\)) between any two connected cells is a combination of these distances given by Pythagoras' Theorem: \(d_t = \sqrt{(d_p^2 + d_v^2)}\). These distances are taken to define the `cost' of movement between connected cells. Thus, `costs' are symmetric (i.e., the cost of moving from A to B equals the cost of moving from B to A).
    
+
    This cost surface is then used to compute the shortest path and/or distance of the shortest path between each origin and destination pair/combination using functions in the cppRouting or gdistance package. The functions implemented depend on the goal (i.e., whether the aim is to compute shortest paths, shortest distances or both) and, if there is more than one origin/destination, the combination type (i.e., whether to compute shortest paths/distances for each sequential pair of coordinates or all possible combinations of coordinates).
    
+
    
 
-#### Example (12): Shortest distances/paths computed in sequence:
-# cppRouting method
-out1 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE],
-                         destination = rxy[5:6, , drop = FALSE],
-                         surface = r,
-                         goal = 3)
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:15)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'cppRouting'... 
-#> ... ... Defining nodes, edges and costs to make graph... 
-#> ... ... Constructing graph object... 
-#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
    #> Running bidirectional Dijkstra...
    #> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
    #> Running bidirectional Dijkstra...
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:15) after ~0 minutes. 
    # gdistance method
-out2 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE],
-                         destination = rxy[5:6, , drop = FALSE],
-                         surface = r,
-                         goal = 3,
-                         method = "gdistance")
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:15)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'gdistance'... 
-#> ... ... Defining 'ease' matrix... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... 
-#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:15) after ~0 minutes. 
    out1$dist_lcp; out1$path_lcp
-
    #> [1] 8.124038 9.273618
    #> $cells
-#>   path_id path origin destination cell
-#> 1       1  1-5      1           5    1
-#> 2       1  1-5      1           5    5
-#> 3       2  2-6      2           6    2
-#> 4       2  2-6      2           6    6
-#> 
-#> $SpatialLines
-#> $SpatialLines$`1`
-#> class       : SpatialLines 
-#> features    : 1 
-#> extent      : 2.5, 7.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> 
-#> $SpatialLines$`2`
-#> class       : SpatialLines 
-#> features    : 1 
-#> extent      : 7.5, 12.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> 
-#> 
-#> $coordinates
-#> $coordinates$`1`
-#>        x    y
-#> [1,] 2.5 12.5
-#> [2,] 7.5  7.5
-#> 
-#> $coordinates$`2`
-#>         x    y
-#> [1,]  7.5 12.5
-#> [2,] 12.5  7.5
-#> 
-#> 
    out2$dist_lcp; out2$path_lcp
-
    #> [1] 8.124038 9.273618
    #> $cells
-#>   path_id path origin destination cell
-#> 1       1  1-5      1           5    1
-#> 2       1  1-5      1           5    5
-#> 3       2  2-6      2           6    2
-#> 4       2  2-6      2           6    6
-#> 
-#> $SpatialLines
-#> $SpatialLines$`1`
-#> class       : SpatialLines 
-#> features    : 1 
-#> extent      : 2.5, 7.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> 
-#> $SpatialLines$`2`
-#> class       : SpatialLines 
-#> features    : 1 
-#> extent      : 7.5, 12.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
-#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
-#> 
-#> 
-#> $coordinates
-#> $coordinates$`1`
-#>        x    y
-#> [1,] 2.5 12.5
-#> [2,] 7.5  7.5
-#> 
-#> $coordinates$`2`
-#>         x    y
-#> [1,]  7.5 12.5
-#> [2,] 12.5  7.5
-#> 
-#> 
    
-#### Example (13): Shortest distances/paths computed in parallel:
-# cppRouting method for goal 3
-out1 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE],
-                         destination = rxy[5:6, , drop = FALSE],
-                         surface = r,
-                         goal = 3,
-                         use_all_cores = TRUE)
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:15)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'cppRouting'... 
-#> ... ... Defining nodes, edges and costs to make graph... 
-#> ... ... Constructing graph object... 
-#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
    #> Running bidirectional Dijkstra...
    #> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
    #> Running bidirectional Dijkstra...
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:15) after ~0 minutes. 
    # gdistance method for goal 2
-out1 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE],
-                         destination = rxy[5:6, , drop = FALSE],
-                         surface = r,
-                         goal = 2,
-                         method = "gdistance",
-                         cl = parallel::makeCluster(2L))
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:15)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Using method = 'gdistance'... 
-#> ... ... Defining 'ease' matrix... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... 
-#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:21) after ~0.09 minutes. 
    # gdistance method for goal 3
-out1 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE],
-                         destination = rxy[5:6, , drop = FALSE],
-                         surface = r,
-                         goal = 3,
-                         method = "gdistance",
-                         cl = parallel::makeCluster(2L))
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:21)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... 
-#> ... Using method = 'gdistance'... 
-#> ... ... Defining 'ease' matrix... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
-#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... 
-#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:26) after ~0.1 minutes. 
    
+
    
+
    Warnings
    
+
    The function returns a warning produced by transition which is implemented to facilitate the definition of the cost surface, before shortest paths/distances are computed by either method: `In .TfromR(x, transitionFunction, directions, symm) : transition function gives negative values'. This warning arises because the height differences between connecting cells can be negative. It can be safely ignored.
    
+
    
 
-############################################################################
-#### Shortest distances/paths between all origin/destination combinations
+    
    
+    
    
+    
    Author
    
+    
    Edward Lavender
    
+    
    
 
-#### Example (14) Compute all combinations via combination = "matrix"
-# cppRouting goal 3
-out1 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE],
-                         destination = rxy[5:6, , drop = FALSE],
-                         surface = r,
-                         goal = 3,
-                         cppRouting_algorithm = "phast",
-                         combination = "matrix")
-
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:26)... -#> ... Checking user inputs...
    #> ... Defining cost matrix...
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... -#> ... Using method = 'cppRouting'... -#> ... ... Defining nodes, edges and costs to make graph... -#> ... ... Constructing graph object... -#> ... ... Implementing phast algorithm to compute least-cost distance(s)... -#> ... .... Implementing Dijkstra's algorithm recursively to compute least-cost paths(s)... -#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:26) after ~0 minutes.
    out1$dist_euclid; out1$dist_lcp; out1$path_lcp -
    #> 5 6 -#> 1 7.071068 11.180340 -#> 2 5.000000 7.071068
    #> 5 6 -#> 1 8.124038 13.954990 -#> 2 10.295630 9.273618
    #> $cells -#> path_id path origin destination cell -#> 1 1 1-5 1 5 1 -#> 2 1 1-5 1 5 5 -#> 3 2 1-6 1 6 1 -#> 4 2 1-6 1 6 5 -#> 5 2 1-6 1 6 6 -#> 6 3 2-5 2 5 2 -#> 7 3 2-5 2 5 5 -#> 8 4 2-6 2 6 2 -#> 9 4 2-6 2 6 6 -#> -#> $SpatialLines -#> $SpatialLines$`1` -#> class : SpatialLines -#> features : 1 -#> extent : 2.5, 7.5, 7.5, 12.5 (xmin, xmax, ymin, ymax) -#> crs : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs -#> -#> $SpatialLines$`2` -#> class : SpatialLines -#> features : 1 -#> extent : 2.5, 12.5, 7.5, 12.5 (xmin, xmax, ymin, ymax) -#> crs : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs -#> -#> $SpatialLines$`3` -#> class : SpatialLines -#> features : 1 -#> extent : 7.5, 7.5, 7.5, 12.5 (xmin, xmax, ymin, ymax) -#> crs : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs -#> -#> $SpatialLines$`4` -#> class : SpatialLines -#> features : 1 -#> extent : 7.5, 12.5, 7.5, 12.5 (xmin, xmax, ymin, ymax) -#> crs : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs -#> -#> -#> $coordinates -#> $coordinates$`1` -#> x y -#> [1,] 2.5 12.5 -#> [2,] 7.5 7.5 -#> -#> $coordinates$`2` -#> x y -#> [1,] 2.5 12.5 -#> [2,] 7.5 7.5 -#> [3,] 12.5 7.5 -#> -#> $coordinates$`3` -#> x y -#> [1,] 7.5 12.5 -#> [2,] 7.5 7.5 -#> -#> $coordinates$`4` -#> x y -#> [1,] 7.5 12.5 -#> [2,] 12.5 7.5 -#> -#>
    # cppRouting goal 3 parallelised -out1 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE], - destination = rxy[5:6, , drop = FALSE], - surface = r, - goal = 3, - combination = "matrix", - cppRouting_algorithm = "phast", - use_all_cores = TRUE) -
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:26)... -#> ... Checking user inputs...
    #> ... Defining cost matrix...
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... -#> ... Using method = 'cppRouting'... -#> ... ... Defining nodes, edges and costs to make graph... -#> ... ... Constructing graph object... -#> ... ... Implementing phast algorithm to compute least-cost distance(s)... -#> ... .... Implementing Dijkstra's algorithm recursively to compute least-cost paths(s)... -#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:27) after ~0 minutes.
    # gdistance goal 3 -out1 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE], - destination = rxy[5:6, , drop = FALSE], - surface = r, - goal = 3, - method = "gdistance", - combination = "matrix", - cl = parallel::makeCluster(2L)) -
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:27)... -#> ... Checking user inputs...
    #> ... Defining cost matrix...
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... -#> ... Using method = 'gdistance'... -#> ... ... Defining 'ease' matrix... -#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... -#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... -#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:32) after ~0.09 minutes.
    out1$dist_euclid; out1$dist_lcp; out1$path_lcp -
    #> 5 6 -#> 1 7.071068 11.180340 -#> 2 5.000000 7.071068
    #> 5 6 -#> 1 8.124038 13.954990 -#> 2 10.295630 9.273618
    #> $cells -#> path_id path origin destination cell -#> 1 1 1-5 1 5 1 -#> 2 1 1-5 1 5 5 -#> 3 2 2-5 2 5 2 -#> 4 2 2-5 2 5 5 -#> 5 3 1-6 1 6 1 -#> 6 3 1-6 1 6 5 -#> 7 3 1-6 1 6 6 -#> 8 4 2-6 2 6 2 -#> 9 4 2-6 2 6 6 -#> -#> $SpatialLines -#> $SpatialLines$`1` -#> class : SpatialLines -#> features : 1 -#> extent : 2.5, 7.5, 7.5, 12.5 (xmin, xmax, ymin, ymax) -#> crs : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs -#> -#> $SpatialLines$`2` -#> class : SpatialLines -#> features : 1 -#> extent : 7.5, 7.5, 7.5, 12.5 (xmin, xmax, ymin, ymax) -#> crs : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs -#> -#> $SpatialLines$`3` -#> class : SpatialLines -#> features : 1 -#> extent : 2.5, 12.5, 7.5, 12.5 (xmin, xmax, ymin, ymax) -#> crs : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs -#> -#> $SpatialLines$`4` -#> class : SpatialLines -#> features : 1 -#> extent : 7.5, 12.5, 7.5, 12.5 (xmin, xmax, ymin, ymax) -#> crs : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs -#> -#> -#> $coordinates -#> $coordinates$`1` -#> x y -#> [1,] 2.5 12.5 -#> [2,] 7.5 7.5 -#> -#> $coordinates$`2` -#> x y -#> [1,] 7.5 12.5 -#> [2,] 7.5 7.5 -#> -#> $coordinates$`3` -#> x y -#> [1,] 2.5 12.5 -#> [2,] 7.5 7.5 -#> [3,] 12.5 7.5 -#> -#> $coordinates$`4` -#> x y -#> [1,] 7.5 12.5 -#> [2,] 12.5 7.5 -#> -#>
    -#### Example (15): Real world example with multiple origins/destinations -## Zoom in on an area of interest -ext <- raster::extent(715000, 720000, 6250000, 6260000) -dat_gebco_utm_planar_zoom <- raster::crop(dat_gebco_utm_planar, ext) -## Define example origins/destinations -# Define available coordinates -dat_gebco_utm_planar_zoom_xy <- raster::coordinates(dat_gebco_utm_planar_zoom) -# Sample random origins -set.seed(2019) -index <- sample(1:nrow(dat_gebco_utm_planar_zoom_xy), 2) -origin <- dat_gebco_utm_planar_zoom_xy[index, ] -# Sample random destinations -set.seed(2020) -index <- sample(1:nrow(dat_gebco_utm_planar_zoom_xy), 3) -destination <- dat_gebco_utm_planar_zoom_xy[index, ] -# Implement algorithm -out_gebco1 <- lcp_over_surface(origin = origin, - destination = destination, - surface = dat_gebco_utm_planar, - method = "gdistance", - goal = 3, - combination = "matrix") -
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:32)... -#> ... Checking user inputs...
    #> ... Defining cost matrix...
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... -#> ... Using method = 'gdistance'... -#> ... ... Defining 'ease' matrix... -#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... -#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... -#> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:32) after ~0 minutes.
    out_gebco2 <- lcp_over_surface(origin = origin, - destination = destination, - surface = dat_gebco_utm_planar, - method = "cppRouting", - goal = 3, - combination = "matrix", - cppRouting_algorithm = "phast") -
    #> flapper::lcp_over_surface() called (@ 2022-06-17 10:06:32)... -#> ... Checking user inputs...
    #> ... Defining cost matrix...
    #> Warning: transition function gives negative values
    #> ... Calculating Euclidean distance(s)... -#> ... Using method = 'cppRouting'... -#> ... ... Defining nodes, edges and costs to make graph... -#> ... ... Constructing graph object... -#> ... ... Implementing phast algorithm to compute least-cost distance(s)... -#> ... .... Implementing Dijkstra's algorithm recursively to compute least-cost paths(s)...
    #> Warning: number of rows of result is not a multiple of vector length (arg 1)
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:06:32) after ~0 minutes.
    # The function returns distances between all combinations -out_gebco1$dist_lcp; out_gebco2$dist_lcp -
    #> 2945 2463 3438 -#> 2610 3375.062 4064.206 6062.3124 -#> 3544 3270.267 5106.123 707.1401
    #> 2945 2463 3438 -#> 2610 3375.062 4064.206 6062.3124 -#> 3544 3270.267 5106.123 707.1401
    # The two outputs are the same (though the ordering of factor levels differs) -str(out_gebco1$path_lcp$cells); str(out_gebco2$path_lcp$cells) -
    #> 'data.frame': 83 obs. of 5 variables: -#> $ path_id : num 1 1 1 1 1 1 1 1 1 1 ... -#> $ path : Factor w/ 6 levels "2610-2945","3544-2945",..: 1 1 1 1 1 1 1 1 1 1 ... -#> $ origin : int 2610 2610 2610 2610 2610 2610 2610 2610 2610 2610 ... -#> $ destination: int 2945 2945 2945 2945 2945 2945 2945 2945 2945 2945 ... -#> $ cell : int 2610 2665 2666 2667 2668 2723 2778 2833 2834 2835 ...
    #> 'data.frame': 83 obs. of 5 variables: -#> $ path_id : num 1 1 1 1 1 1 1 1 1 1 ... -#> $ path : Factor w/ 6 levels "2610-2945","2610-2463",..: 1 1 1 1 1 1 1 1 1 1 ... -#> $ origin : int 2610 2610 2610 2610 2610 2610 2610 2610 2610 2610 ... -#> $ destination: int 2945 2945 2945 2945 2945 2945 2945 2945 2945 2945 ... -#> $ cell : int 2610 2665 2666 2667 2668 2723 2778 2833 2834 2835 ...
    -
    +
    +

    Examples

    + 
    #### Example types
+# Shortest distances between a single origin and a single destination
+# Shortest paths between a single origin and a single destination
+# Shortest distances/paths between origin/destination pairs
+# Shortest distances/paths between all origin/destination combinations
+
+#### Simulate a hypothetical landscape
+# Define a miniature, blank landscape with appropriate dimensions
+proj_utm <- sp::CRS(SRS_string = "EPSG:32629")
+r <- raster::raster(nrows = 3, ncols = 3,
+                    crs = proj_utm,
+                    resolution = c(5, 5),
+                    ext = raster::extent(0, 15, 0, 15))
+# Define a matrix of hypothetical values for the landscape
+mat <- matrix(c(5, 10, 3,
+                2, 1, 4,
+                5, 6, 6), ncol = 3, nrow = 3, byrow = TRUE)
+r[] <- mat
+# Visualise simulated landscape
+raster::plot(r)
+raster::text(r)
+
+# Extract coordinates of cells
+rxy <- raster::coordinates(r)
+
+
+############################################################################
+#### Shortest distances between a single origin and a single destination
+
+#### Example (1): Find the distance between a single origin and destination
+# ... using the "cppRouting" method:
+out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
+                         destination = rxy[2, , drop = FALSE],
+                         surface = r)
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:44)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:44) after ~0 minutes. 
+# Extract shortest distance
+out1$dist_lcp
+#> [1] 7.071068
+
+#### Example (1) continued: An explanation of function outputs
+# The function returns a list:
+# The 'args' element simply contains all inputted arguments
+out1$args
+#> $origin
+#>        x    y
+#> [1,] 2.5 12.5
+#> 
+#> $destination
+#>        x    y
+#> [1,] 7.5 12.5
+#> 
+#> $surface
+#> class      : RasterLayer 
+#> dimensions : 3, 3, 9  (nrow, ncol, ncell)
+#> resolution : 5, 5  (x, y)
+#> extent     : 0, 15, 0, 15  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 1, 10  (min, max)
+#> 
+#> 
+#> $crop
+#> NULL
+#> 
+#> $buffer
+#> NULL
+#> 
+#> $aggregate
+#> NULL
+#> 
+#> $mask
+#> NULL
+#> 
+#> $mask_inside
+#> [1] TRUE
+#> 
+#> $plot
+#> [1] TRUE
+#> 
+#> $goal
+#> [1] 1
+#> 
+#> $combination
+#> [1] "pair"
+#> 
+#> $method
+#> [1] "cppRouting"
+#> 
+#> $cppRouting_algorithm
+#> [1] "bi"
+#> 
+#> $cl
+#> NULL
+#> 
+#> $varlist
+#> NULL
+#> 
+#> $use_all_cores
+#> [1] FALSE
+#> 
+#> $check
+#> [1] TRUE
+#> 
+#> $verbose
+#> [1] TRUE
+#> 
+# The 'surface' element contains the surface used to compute shortest distances
+# ... This may differ from $args$surface if cropped, buffered etc.
+out1$surface
+#> class      : RasterLayer 
+#> dimensions : 3, 3, 9  (nrow, ncol, ncell)
+#> resolution : 5, 5  (x, y)
+#> extent     : 0, 15, 0, 15  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 1, 10  (min, max)
+#> 
+# The 'surface_param' element contains the cell IDs, number of rows, cells and coordinates
+# ... of this surface
+out1$surface_param
+#> $cells
+#> [1] 1 2 3 4 5 6 7 8 9
+#> 
+#> $nrow
+#> [1] 3
+#> 
+#> $ncol
+#> [1] 3
+#> 
+#> $coordinates
+#>          x    y
+#>  [1,]  2.5 12.5
+#>  [2,]  7.5 12.5
+#>  [3,] 12.5 12.5
+#>  [4,]  2.5  7.5
+#>  [5,]  7.5  7.5
+#>  [6,] 12.5  7.5
+#>  [7,]  2.5  2.5
+#>  [8,]  7.5  2.5
+#>  [9,] 12.5  2.5
+#> 
+#> $origin_cell
+#> [1] 1
+#> 
+#> $destination_cell
+#> [1] 2
+#> 
+# The 'cost' element is a list of objects that define the cost matrix:
+# ... 'dist_rook' and 'dist_bishop' are matrices which define the distance of planar
+# ... ... movement from one cell to any other cell under a rook's or bishop's movement.
+# ... ... For example, the planar distance of moving from cell 1 to cell 2 to is 5 m:
+out1$cost$dist_rook
+#> 9 x 9 sparse Matrix of class "dsCMatrix"
+#>                        
+#>  [1,] . 5 . 5 . . . . .
+#>  [2,] 5 . 5 . 5 . . . .
+#>  [3,] . 5 . . . 5 . . .
+#>  [4,] 5 . . . 5 . 5 . .
+#>  [5,] . 5 . 5 . 5 . 5 .
+#>  [6,] . . 5 . 5 . . . 5
+#>  [7,] . . . 5 . . . 5 .
+#>  [8,] . . . . 5 . 5 . 5
+#>  [9,] . . . . . 5 . 5 .
+out1$cost$dist_bishop
+#> 9 x 9 sparse Matrix of class "dsCMatrix"
+#>                                                                              
+#>  [1,] .        .        .        .        7.071068 .        .        .       
+#>  [2,] .        .        .        7.071068 .        7.071068 .        .       
+#>  [3,] .        .        .        .        7.071068 .        .        .       
+#>  [4,] .        7.071068 .        .        .        .        .        7.071068
+#>  [5,] 7.071068 .        7.071068 .        .        .        7.071068 .       
+#>  [6,] .        7.071068 .        .        .        .        .        7.071068
+#>  [7,] .        .        .        .        7.071068 .        .        .       
+#>  [8,] .        .        .        7.071068 .        7.071068 .        .       
+#>  [9,] .        .        .        .        7.071068 .        .        .       
+#>               
+#>  [1,] .       
+#>  [2,] .       
+#>  [3,] .       
+#>  [4,] .       
+#>  [5,] 7.071068
+#>  [6,] .       
+#>  [7,] .       
+#>  [8,] .       
+#>  [9,] .       
+# ... 'dist_planar' gives the planar distance between connected cell combinations
+# ... ... under a queen's movements:
+out1$cost$dist_planar
+#> 9 x 9 sparse Matrix of class "dsCMatrix"
+#>                                                                              
+#>  [1,] .        5.000000 .        5.000000 7.071068 .        .        .       
+#>  [2,] 5.000000 .        5.000000 7.071068 5.000000 7.071068 .        .       
+#>  [3,] .        5.000000 .        .        7.071068 5.000000 .        .       
+#>  [4,] 5.000000 7.071068 .        .        5.000000 .        5.000000 7.071068
+#>  [5,] 7.071068 5.000000 7.071068 5.000000 .        5.000000 7.071068 5.000000
+#>  [6,] .        7.071068 5.000000 .        5.000000 .        .        7.071068
+#>  [7,] .        .        .        5.000000 7.071068 .        .        5.000000
+#>  [8,] .        .        .        7.071068 5.000000 7.071068 5.000000 .       
+#>  [9,] .        .        .        .        7.071068 5.000000 .        5.000000
+#>               
+#>  [1,] .       
+#>  [2,] .       
+#>  [3,] .       
+#>  [4,] .       
+#>  [5,] 7.071068
+#>  [6,] 5.000000
+#>  [7,] .       
+#>  [8,] 5.000000
+#>  [9,] .       
+# ... 'dist_vertical' gives the vertical distance between connected cells
+out1$cost$dist_vertical
+#> 9 x 9 sparse Matrix of class "dsCMatrix"
+#>                              
+#>  [1,]  .  5  . -3 -4  . . . .
+#>  [2,]  5  . -7 -8 -9 -6 . . .
+#>  [3,]  . -7  .  . -2  1 . . .
+#>  [4,] -3 -8  .  . -1  . 3 4 .
+#>  [5,] -4 -9 -2 -1  .  3 4 5 5
+#>  [6,]  . -6  1  .  3  . . 2 2
+#>  [7,]  .  .  .  3  4  . . 1 .
+#>  [8,]  .  .  .  4  5  2 1 . .
+#>  [9,]  .  .  .  .  5  2 . . .
+# ... and 'dist_total' gives the total distance between connected cells
+out1$cost$dist_total
+#> 9 x 9 sparse Matrix of class "dsCMatrix"
+#>                                                                        
+#>  [1,] .         7.071068 .         5.830952  8.124038 .        .       
+#>  [2,] 7.071068  .        8.602325 10.677078 10.295630 9.273618 .       
+#>  [3,] .         8.602325 .         .         7.348469 5.099020 .       
+#>  [4,] 5.830952 10.677078 .         .         5.099020 .        5.830952
+#>  [5,] 8.124038 10.295630 7.348469  5.099020  .        5.830952 8.124038
+#>  [6,] .         9.273618 5.099020  .         5.830952 .        .       
+#>  [7,] .         .        .         5.830952  8.124038 .        .       
+#>  [8,] .         .        .         8.124038  7.071068 7.348469 5.099020
+#>  [9,] .         .        .         .         8.660254 5.385165 .       
+#>                        
+#>  [1,] .        .       
+#>  [2,] .        .       
+#>  [3,] .        .       
+#>  [4,] 8.124038 .       
+#>  [5,] 7.071068 8.660254
+#>  [6,] 7.348469 5.385165
+#>  [7,] 5.099020 .       
+#>  [8,] .        5.000000
+#>  [9,] 5.000000 .       
+# 'dist_euclid' is the Euclidean distance between the origin and destination
+out1$dist_euclid
+#> [1] 5
+# 'cppRouting_param' contains lists of parameters passed to (a) makegraph() and (b)
+# ... get_distance_matrix() to compute shortest distances using cppRouting
+utils::str(out1$cppRouting_param)
+#> List of 2
+#>  $ makegraph_param        :List of 3
+#>   ..$ df      :'data.frame':	40 obs. of  3 variables:
+#>   .. ..$ from: int [1:40] 1 2 1 2 1 2 3 4 2 3 ...
+#>   .. ..$ to  : int [1:40] 2 3 4 4 5 5 5 5 6 6 ...
+#>   .. ..$ cost: num [1:40] 7.07 8.6 5.83 10.68 8.12 ...
+#>   ..$ directed: logi FALSE
+#>   ..$ coords  :'data.frame':	9 obs. of  3 variables:
+#>   .. ..$ node: int [1:9] 1 2 3 4 5 6 7 8 9
+#>   .. ..$ X   : num [1:9] 2.5 7.5 12.5 2.5 7.5 12.5 2.5 7.5 12.5
+#>   .. ..$ Y   : num [1:9] 12.5 12.5 12.5 7.5 7.5 7.5 2.5 2.5 2.5
+#>  $ get_distance_pair_param:List of 5
+#>   ..$ Graph    :List of 5
+#>   .. ..$ data  :'data.frame':	80 obs. of  3 variables:
+#>   .. .. ..$ from: int [1:80] 0 1 0 1 0 1 2 3 1 2 ...
+#>   .. .. ..$ to  : int [1:80] 1 2 3 3 4 4 4 4 5 5 ...
+#>   .. .. ..$ dist: num [1:80] 7.07 8.6 5.83 10.68 8.12 ...
+#>   .. ..$ coords:'data.frame':	9 obs. of  3 variables:
+#>   .. .. ..$ node: chr [1:9] "1" "2" "3" "4" ...
+#>   .. .. ..$ X   : num [1:9] 2.5 7.5 12.5 2.5 7.5 12.5 2.5 7.5 12.5
+#>   .. .. ..$ Y   : num [1:9] 12.5 12.5 12.5 7.5 7.5 7.5 2.5 2.5 2.5
+#>   .. ..$ nbnode: int 9
+#>   .. ..$ dict  :'data.frame':	9 obs. of  2 variables:
+#>   .. .. ..$ ref: chr [1:9] "1" "2" "3" "4" ...
+#>   .. .. ..$ id : int [1:9] 0 1 2 3 4 5 6 7 8
+#>   .. ..$ attrib:List of 4
+#>   .. .. ..$ aux  : NULL
+#>   .. .. ..$ cap  : NULL
+#>   .. .. ..$ alpha: NULL
+#>   .. .. ..$ beta : NULL
+#>   ..$ from     : num 1
+#>   ..$ to       : num 2
+#>   ..$ algorithm: chr "bi"
+#>   ..$ allcores : logi FALSE
+# 'time' records the time of each stage
+out1$time
+#>                       event                time   serial_duration
+#> 1                     onset 2023-02-19 15:01:44 0.0517330170 secs
+#> 2         surface_processed 2023-02-19 15:01:44 0.0172920227 secs
+#> 3 transition_matrix_defined 2023-02-19 15:01:44 0.0024631023 secs
+#> 4             graph_defined 2023-02-19 15:01:44 0.0005919933 secs
+#> 5          dist_lcp_defined 2023-02-19 15:01:44 0.0003068447 secs
+#> 6                    finish 2023-02-19 15:01:44           NA secs
+
+#### Example (2): Find the distance between a single origin and destination
+# ... using the "gdistance" method
+out2 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
+                         destination = rxy[2, , drop = FALSE],
+                         surface = r,
+                         method = "gdistance"
+                         )
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:44)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'gdistance'... 
+#> ... ... Defining 'ease' matrix... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:44) after ~0 minutes. 
+# Extract distance
+out2$dist_lcp
+#> [1] 7.071068
+# Elements of the returned list are the same apart from 'gdistance_param'
+# ... which contains a list of arguments passed to costDistance() to compute
+# ... shortest distances
+utils::str(out2$gdistance_param)
+#> List of 1
+#>  $ costDistance_param:List of 3
+#>   ..$ x         :Formal class 'TransitionLayer' [package "gdistance"] with 12 slots
+#>   .. .. ..@ title           : chr(0) 
+#>   .. .. ..@ extent          :Formal class 'Extent' [package "raster"] with 4 slots
+#>   .. .. .. .. ..@ xmin: num 0
+#>   .. .. .. .. ..@ xmax: num 15
+#>   .. .. .. .. ..@ ymin: num 0
+#>   .. .. .. .. ..@ ymax: num 15
+#>   .. .. ..@ rotated         : logi FALSE
+#>   .. .. ..@ rotation        :Formal class '.Rotation' [package "raster"] with 2 slots
+#>   .. .. .. .. ..@ geotrans: num(0) 
+#>   .. .. .. .. ..@ transfun:function ()  
+#>   .. .. ..@ ncols           : int 3
+#>   .. .. ..@ nrows           : int 3
+#>   .. .. ..@ crs             :Formal class 'CRS' [package "sp"] with 1 slot
+#>   .. .. .. .. ..@ projargs: chr "+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs"
+#>   .. .. .. .. ..$ comment: chr "PROJCRS[\"WGS 84 / UTM zone 29N\",\n    BASEGEOGCRS[\"WGS 84\",\n        ENSEMBLE[\"World Geodetic System 1984 "| __truncated__
+#>   .. .. ..@ history         : list()
+#>   .. .. ..@ z               : list()
+#>   .. .. ..@ transitionMatrix:Formal class 'dsCMatrix' [package "Matrix"] with 7 slots
+#>   .. .. .. .. ..@ i       : int [1:20] 0 1 0 1 0 1 2 3 1 2 ...
+#>   .. .. .. .. ..@ p       : int [1:10] 0 0 1 2 4 8 11 13 17 20
+#>   .. .. .. .. ..@ Dim     : int [1:2] 9 9
+#>   .. .. .. .. ..@ Dimnames:List of 2
+#>   .. .. .. .. .. ..$ : NULL
+#>   .. .. .. .. .. ..$ : NULL
+#>   .. .. .. .. ..@ x       : num [1:20] 0.1414 0.1162 0.1715 0.0937 0.1231 ...
+#>   .. .. .. .. ..@ uplo    : chr "U"
+#>   .. .. .. .. ..@ factors : list()
+#>   .. .. ..@ transitionCells : int [1:9] 1 2 3 4 5 6 7 8 9
+#>   .. .. ..@ matrixValues    : chr "conductance"
+#>   .. .. ..$ layernames: chr ""
+#>   .. .. ..$ unit      : chr ""
+#>   ..$ fromCoords: num [1, 1:2] 2.5 12.5
+#>   .. ..- attr(*, "dimnames")=List of 2
+#>   .. .. ..$ : NULL
+#>   .. .. ..$ : chr [1:2] "x" "y"
+#>   ..$ toCoords  : num [1, 1:2] 7.5 12.5
+#>   .. ..- attr(*, "dimnames")=List of 2
+#>   .. .. ..$ : NULL
+#>   .. .. ..$ : chr [1:2] "x" "y"
+
+#### Example (3): Find the distances between other origins and destinations
+## Implement function to determine shortest distances:
+# shortest distance between cell 1 and 6 via gdistance
+lcp_over_surface(origin = rxy[1, , drop = FALSE],
+                 destination = rxy[6, , drop = FALSE],
+                 surface = r,
+                 method = "gdistance",
+                 verbose = FALSE)$dist_lcp
+#> Warning: transition function gives negative values
+
+#> [1] 13.95499
+# shortest distance between cell 1 and 6 via cppRouting
+lcp_over_surface(origin = rxy[1, , drop = FALSE],
+                 destination = rxy[6, , drop = FALSE],
+                 surface = r,
+                 method = "cppRouting",
+                 verbose = FALSE)$dist_lcp
+#> Warning: transition function gives negative values
+#> [1] 13.95499
+## Compare to manually computed distances
+# The shortest distance from cell 1 to cell 6 is to move diagonally
+# ... from cell 1 to 5 and then 6.
+# Define planar distances of moving like a rook (d_pr) or bishop (d_pb)
+d_pr <- 5
+d_pb <- sqrt(5^2 + 5^2)
+# Define total distance travelled along shortest path, as computed by the
+# ... algorithm to demonstrate we obtain the same value:
+sqrt((5 - 1)^2 + d_pb^2) + sqrt((4 - 1)^2 + d_pr^2)
+#> [1] 13.95499
+
+#### Example (4): Find the shortest distances around NAs
+## Force the 5th cell to be NA
+rtmp <- r
+rtmp[5] <- NA
+raster::plot(rtmp); raster::text(rtmp)
+
+## Compute shortest distances via algorithm:
+# Now compute shortest distances, which we can see have increased the distance
+# ... since movement through an NA cell is not allowed. Therefore, if this NA
+# ... reflects missing data, it may be appropriate to interpolate NAs using
+# ... surrounding cells (e.g., see raster::approxNA()) so that movement
+# ... is possible through these cells
+out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
+                         destination = rxy[6, , drop = FALSE],
+                         surface = rtmp,
+                         method = "gdistance",
+                         verbose = FALSE)
+#> Warning: transition function gives negative values
+out2 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
+                         destination = rxy[6, , drop = FALSE],
+                         surface = rtmp,
+                         method = "cppRouting",
+                         verbose = FALSE)
+#> Warning: transition function gives negative values
+
+out1$dist_lcp; out2$dist_lcp
+#> [1] 16.34469
+#> [1] 16.34469
+## Compare to manual calculations of shortest route:
+# Route option one: cell 1 to 2, 2 to 6
+sqrt((5 - 10)^2 + d_pr^2) + sqrt((10 - 4)^2 + d_pb^2)
+#> [1] 16.34469
+# Or, using the numbers computed in the dist_total object:
+out1$cost$dist_total[1, 2] + out1$cost$dist_total[2, 6]
+#> [1] 16.34469
+## Compare to effect of making a value in the landscape extremely large
+# In the same way, we can force the shortest path away from particular areas
+# ... by making the height of the landscape in those areas very large or Inf:
+rtmp[5] <- 1e20
+raster::plot(rtmp); raster::text(rtmp)
+
+lcp_over_surface(origin = rxy[1, , drop = FALSE],
+                 destination = rxy[6, , drop = FALSE],
+                 surface = rtmp,
+                 method = "cppRouting",
+                 verbose = FALSE)$dist_lcp
+#> Warning: transition function gives negative values
+#> [1] 16.34469
+lcp_over_surface(origin = rxy[1, , drop = FALSE],
+                 destination = rxy[6, , drop = FALSE],
+                 surface = rtmp,
+                 method = "gdistance",
+                 verbose = FALSE)$dist_lcp
+#> Warning: transition function gives negative values
+
+#> [1] 16.34469
+
+#### Example (4): Find the distances between points on a real landscape
+## We will use some example bathymetry data:
+dat_gebco_oban <- prettyGraphics::dat_gebco
+raster::plot(dat_gebco_oban)
+
+## Process bathymetry data before function implementation
+# (a) Define utm coordinates:
+dat_gebco_utm <- raster::projectRaster(dat_gebco_oban, crs = proj_utm)
+raster::res(dat_gebco_utm)
+#> [1] 257 463
+# (b) Resample so that the resolution in the x and y directions is identical
+dat_gebco_utm_planar <- raster::raster(crs = proj_utm,
+                                       ext = raster::extent(dat_gebco_utm),
+                                       resolution = 250)
+dat_gebco_utm_planar <- raster::resample(dat_gebco_utm, dat_gebco_utm_planar, method = "bilinear")
+# Examine processed raster
+pp <- par(mfrow = c(1, 2))
+raster::plot(dat_gebco_utm, main = "UTM raster")
+raster::plot(dat_gebco_utm_planar, main = "UTM raster with equal res")
+
+par(pp)
+## Define example origin and destination
+set.seed(1)
+dat_gebco_utm_planar_xy <- raster::coordinates(dat_gebco_utm_planar)
+index       <- sample(1:nrow(dat_gebco_utm_planar_xy), 2)
+origin      <- dat_gebco_utm_planar_xy[index[1], , drop = FALSE]
+destination <- dat_gebco_utm_planar_xy[index[2], , drop = FALSE]
+## Implement function to compute shortest distances
+out_gebco1 <- lcp_over_surface(origin = origin,
+                               destination = destination,
+                               surface = dat_gebco_utm_planar,
+                               method = "gdistance")
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:45)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'gdistance'... 
+#> ... ... Defining 'ease' matrix... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:45) after ~0 minutes. 
+out_gebco2 <- lcp_over_surface(origin = origin,
+                               destination = destination,
+                               surface = dat_gebco_utm_planar,
+                              method = "cppRouting")
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:45)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:45) after ~0 minutes. 
+# Compare Euclidean and shortest distances
+out_gebco1$dist_euclid; out_gebco1$dist_lcp
+#> [1] 8902.247
+#> [1] 9278.626
+out_gebco2$dist_euclid; out_gebco2$dist_lcp
+#> [1] 8902.247
+#> [1] 9278.626
+
+#### Example (5A): Reduce the complexity of the landscape by cropping
+ext <- raster::extent(dat_gebco_utm_planar)
+ext[3] <- 6255000
+ext[4] <- 6265000
+out_gebco1 <- lcp_over_surface(origin = origin,
+                               destination = destination,
+                               surface = dat_gebco_utm_planar,
+                               method = "gdistance",
+                               crop = ext)
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:45)... 
+#> ... Checking user inputs... 
+#> ... Cropping raster to inputted extent... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'gdistance'... 
+#> ... ... Defining 'ease' matrix... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:45) after ~0 minutes. 
+out_gebco1$dist_lcp
+#> [1] 9278.626
+
+#### Example (5B): Reduce the complexity of the landscape around a buffer
+out_gebco1 <- lcp_over_surface(origin = origin,
+                               destination = destination,
+                               surface = dat_gebco_utm_planar,
+                               method = "gdistance",
+                               buffer = list(width = 1000))
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:45)... 
+#> ... Checking user inputs... 
+#> ... Cropping raster to buffer zone around a Euclidean transect between the origin and destination... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'gdistance'... 
+#> ... ... Defining 'ease' matrix... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:45) after ~0 minutes. 
+out_gebco1$dist_lcp
+#> [1] 9278.626
+
+#### Example (5C): Reduce the complexity of the landscape via aggregation
+out_gebco1 <- lcp_over_surface(origin = origin,
+                               destination = destination,
+                               surface = dat_gebco_utm_planar,
+                               method = "gdistance",
+                               buffer = list(width = 1000),
+                               aggregate = list(fact = 5, fun = mean, na.rm = TRUE))
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:45)... 
+#> ... Checking user inputs... 
+#> ... Cropping raster to buffer zone around a Euclidean transect between the origin and destination... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Aggregating raster... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'gdistance'... 
+#> ... ... Defining 'ease' matrix... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:45) after ~0 minutes. 
+out_gebco1$dist_lcp
+#> [1] 10088.96
+
+#### Example (6C): Implement a mask
+# Define coastline
+dat_coast_around_oban <- prettyGraphics::dat_coast_around_oban
+coastline <- sp::spTransform(dat_coast_around_oban, proj_utm)
+#> Warning: NULL source CRS comment, falling back to PROJ string
+# Visualise bathymetry and coastline
+raster::plot(dat_gebco_utm_planar)
+raster::lines(coastline)
+
+# Define example origin and destination within the sea
+origin      <- matrix(c(714000, 6260000), ncol = 2)
+destination <- matrix(c(721000, 6265000), ncol = 2)
+# Implement algorithm
+out_gebco1 <- lcp_over_surface(origin = origin,
+                               destination = destination,
+                               surface = dat_gebco_utm_planar,
+                               method = "gdistance",
+                               crop = raster::extent(coastline),
+                               mask = coastline,
+                               mask_inside = TRUE)
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:45)... 
+#> ... Checking user inputs... 
+#> ... Cropping raster to inputted extent... 
+#> ... Masking raster... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'gdistance'... 
+#> ... ... Defining 'ease' matrix... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:45) after ~0 minutes. 
+out_gebco2 <- lcp_over_surface(origin = origin,
+                               destination = destination,
+                               surface = dat_gebco_utm_planar,
+                               method = "cppRouting",
+                               crop = raster::extent(coastline),
+                               mask = coastline,
+                               mask_inside = TRUE)
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:45)... 
+#> ... Checking user inputs... 
+#> ... Cropping raster to inputted extent... 
+#> ... Masking raster... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:45) after ~0 minutes. 
+# Compare Euclidean and least-cost distances
+out_gebco1$dist_euclid; out_gebco1$dist_lcp
+#> [1] 8602.325
+#> [1] 9071.48
+out_gebco2$dist_euclid; out_gebco2$dist_lcp
+#> [1] 8602.325
+#> [1] 9071.48
+
+#### Example (7) Implement shortest distance algorithms in parallel:
+# With the default method ("cppRouting"), use use_all_cores = TRUE
+out_gebco1 <- lcp_over_surface(origin = origin,
+                               destination = destination,
+                               surface = dat_gebco_utm_planar,
+                               method = "cppRouting",
+                               crop = raster::extent(coastline),
+                               mask = coastline,
+                               mask_inside = TRUE,
+                               use_all_cores = TRUE)
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:45)... 
+#> ... Checking user inputs... 
+#> ... Cropping raster to inputted extent... 
+#> ... Masking raster... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
+#> allcores argument is deprecated since v3.0. 
+#> Please use RcppParallel::setThreadOptions() to set the number of threads
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:46) after ~0 minutes. 
+# With method = "gdistance" use cl argument
+out_gebco2 <- lcp_over_surface(origin = origin,
+                               destination = destination,
+                               surface = dat_gebco_utm_planar,
+                               method = "cppRouting",
+                               crop = raster::extent(coastline),
+                               mask = coastline,
+                               mask_inside = TRUE,
+                               cl = parallel::makeCluster(2L))
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:46)... 
+#> ... Checking user inputs... 
+#> 'cl' or 'varlist' arguments ignored for method = 'cppRouting': use use_all_cores = TRUE instead.
+#> ... Cropping raster to inputted extent... 
+#> ... Masking raster... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:46) after ~0.01 minutes. 
+out_gebco1$dist_lcp; out_gebco2$dist_lcp
+#> [1] 9071.48
+#> [1] 9071.48
+
+
+############################################################################
+#### Shortest paths between a single origin and a single destination
+
+#### Example (8) Shortest paths (goal = 2) only using default method
+# Implement function
+out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
+                         destination = rxy[6, , drop = FALSE],
+                         surface = r,
+                         goal = 2)
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:46)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:46) after ~0 minutes. 
+# The path is stored in path_lcp, This includes:
+# ... (a) a dataframe with the cells comprising each path:
+# ... (b) a SpatialLines object of the path
+# ... (c) a matrix of the coordinates of the path
+out1$path_lcp
+#> $cells
+#>   path_id path origin destination cell
+#> 1       1  1-6      1           6    6
+#> 2       1  1-6      1           6    5
+#> 3       1  1-6      1           6    1
+#> 
+#> $SpatialLines
+#> $SpatialLines$`1`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 2.5, 12.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> 
+#> $coordinates
+#> $coordinates$`1`
+#>         x    y
+#> [1,] 12.5  7.5
+#> [2,]  7.5  7.5
+#> [3,]  2.5 12.5
+#> 
+#> 
+# For method = "cppRouting", paths between pairs of coordinates are computed
+# ... by cppRouting::get_path_pair(), the arguments of which are retained in
+# ... this list:
+out1$cppRouting_param$get_path_pair_param
+#> $Graph
+#> $Graph$data
+#>    from to      dist
+#> 1     0  1  7.071068
+#> 2     1  2  8.602325
+#> 3     0  3  5.830952
+#> 4     1  3 10.677078
+#> 5     0  4  8.124038
+#> 6     1  4 10.295630
+#> 7     2  4  7.348469
+#> 8     3  4  5.099020
+#> 9     1  5  9.273618
+#> 10    2  5  5.099020
+#> 11    4  5  5.830952
+#> 12    3  6  5.830952
+#> 13    4  6  8.124038
+#> 14    3  7  8.124038
+#> 15    4  7  7.071068
+#> 16    5  7  7.348469
+#> 17    6  7  5.099020
+#> 18    4  8  8.660254
+#> 19    5  8  5.385165
+#> 20    7  8  5.000000
+#> 21    1  0  7.071068
+#> 22    2  1  8.602325
+#> 23    3  0  5.830952
+#> 24    3  1 10.677078
+#> 25    4  0  8.124038
+#> 26    4  1 10.295630
+#> 27    4  2  7.348469
+#> 28    4  3  5.099020
+#> 29    5  1  9.273618
+#> 30    5  2  5.099020
+#> 31    5  4  5.830952
+#> 32    6  3  5.830952
+#> 33    6  4  8.124038
+#> 34    7  3  8.124038
+#> 35    7  4  7.071068
+#> 36    7  5  7.348469
+#> 37    7  6  5.099020
+#> 38    8  4  8.660254
+#> 39    8  5  5.385165
+#> 40    8  7  5.000000
+#> 41    1  0  7.071068
+#> 42    2  1  8.602325
+#> 43    3  0  5.830952
+#> 44    3  1 10.677078
+#> 45    4  0  8.124038
+#> 46    4  1 10.295630
+#> 47    4  2  7.348469
+#> 48    4  3  5.099020
+#> 49    5  1  9.273618
+#> 50    5  2  5.099020
+#> 51    5  4  5.830952
+#> 52    6  3  5.830952
+#> 53    6  4  8.124038
+#> 54    7  3  8.124038
+#> 55    7  4  7.071068
+#> 56    7  5  7.348469
+#> 57    7  6  5.099020
+#> 58    8  4  8.660254
+#> 59    8  5  5.385165
+#> 60    8  7  5.000000
+#> 61    0  1  7.071068
+#> 62    1  2  8.602325
+#> 63    0  3  5.830952
+#> 64    1  3 10.677078
+#> 65    0  4  8.124038
+#> 66    1  4 10.295630
+#> 67    2  4  7.348469
+#> 68    3  4  5.099020
+#> 69    1  5  9.273618
+#> 70    2  5  5.099020
+#> 71    4  5  5.830952
+#> 72    3  6  5.830952
+#> 73    4  6  8.124038
+#> 74    3  7  8.124038
+#> 75    4  7  7.071068
+#> 76    5  7  7.348469
+#> 77    6  7  5.099020
+#> 78    4  8  8.660254
+#> 79    5  8  5.385165
+#> 80    7  8  5.000000
+#> 
+#> $Graph$coords
+#>   node    X    Y
+#> 1    1  2.5 12.5
+#> 2    2  7.5 12.5
+#> 3    3 12.5 12.5
+#> 4    4  2.5  7.5
+#> 5    5  7.5  7.5
+#> 6    6 12.5  7.5
+#> 7    7  2.5  2.5
+#> 8    8  7.5  2.5
+#> 9    9 12.5  2.5
+#> 
+#> $Graph$nbnode
+#> [1] 9
+#> 
+#> $Graph$dict
+#>   ref id
+#> 1   1  0
+#> 2   2  1
+#> 3   3  2
+#> 4   4  3
+#> 5   5  4
+#> 6   6  5
+#> 7   7  6
+#> 8   8  7
+#> 9   9  8
+#> 
+#> $Graph$attrib
+#> $Graph$attrib$aux
+#> NULL
+#> 
+#> $Graph$attrib$cap
+#> NULL
+#> 
+#> $Graph$attrib$alpha
+#> NULL
+#> 
+#> $Graph$attrib$beta
+#> NULL
+#> 
+#> 
+#> 
+#> $from
+#> [1] 1
+#> 
+#> $to
+#> [1] 6
+#> 
+#> $algorithm
+#> [1] "bi"
+#> 
+#> $constant
+#> [1] 1
+#> 
+#> $keep
+#> NULL
+#> 
+#> $long
+#> [1] TRUE
+#> 
+# Note the path is also added to the plot produced, if plot = TRUE.
+
+#### Example (9) Shortest distances and paths (goal = 3) using default method
+out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
+                         destination = rxy[6, , drop = FALSE],
+                         surface = r,
+                         goal = 3)
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:46)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
+#> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:46) after ~0 minutes. 
+out1$dist_lcp; out1$path_lcp
+#> [1] 13.95499
+#> $cells
+#>   path_id path origin destination cell
+#> 1       1  1-6      1           6    6
+#> 2       1  1-6      1           6    5
+#> 3       1  1-6      1           6    1
+#> 
+#> $SpatialLines
+#> $SpatialLines$`1`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 2.5, 12.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> 
+#> $coordinates
+#> $coordinates$`1`
+#>         x    y
+#> [1,] 12.5  7.5
+#> [2,]  7.5  7.5
+#> [3,]  2.5 12.5
+#> 
+#> 
+
+#### Example (10) Shortest distances and paths (goal = 3) via gdistance
+out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
+                         destination = rxy[6, , drop = FALSE],
+                         surface = r,
+                         goal = 3,
+                         method = "gdistance")
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:46)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'gdistance'... 
+#> ... ... Defining 'ease' matrix... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:46) after ~0 minutes. 
+# As above, paths are stored in path_lcp and distances in dist_lcp
+out1$path_lcp
+#> $cells
+#>   path_id path origin destination cell
+#> 1       1  1-6      1           6    1
+#> 2       1  1-6      1           6    5
+#> 3       1  1-6      1           6    6
+#> 
+#> $SpatialLines
+#> $SpatialLines$`1`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 2.5, 12.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> 
+#> $coordinates
+#> $coordinates$`1`
+#>         x    y
+#> [1,]  2.5 12.5
+#> [2,]  7.5  7.5
+#> [3,] 12.5  7.5
+#> 
+#> 
+# For method = "gdistance", paths between pairs of coordinates are computed
+# ... by repeated calls to gdistance::shortestPath(), for each pair of coordinates
+# ... in the following list of arguments:
+out1$gdistance_param$shortestPath_param
+#> $x
+#> class      : TransitionLayer 
+#> dimensions : 3, 3, 9  (nrow, ncol, ncell)
+#> resolution : 5, 5  (x, y)
+#> extent     : 0, 15, 0, 15  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> values      : conductance 
+#> matrix class: dsCMatrix 
+#> 
+#> $fromCoords
+#>        x    y
+#> [1,] 2.5 12.5
+#> 
+#> $toCoords
+#>         x   y
+#> [1,] 12.5 7.5
+#> 
+
+#### Example (11): Parallelisation proceeds as described above via
+# ... use_all_cores or cl arguments. For cppRouting, parallelisation
+# ... is only implemented for distance calculations (so not if goal = 2),
+# ... while parallelisation is implemented for both distance and shortest
+# ... paths for method = "gdistance"
+out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
+                         destination = rxy[6, , drop = FALSE],
+                         surface = r,
+                         goal = 3,
+                         use_all_cores = TRUE)
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:46)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
+#> allcores argument is deprecated since v3.0. 
+#> Please use RcppParallel::setThreadOptions() to set the number of threads
+
+#> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:46) after ~0 minutes. 
+out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
+                         destination = rxy[6, , drop = FALSE],
+                         surface = r,
+                         goal = 2,
+                         method = "gdistance",
+                         cl = parallel::makeCluster(2L))
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:46)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Using method = 'gdistance'... 
+#> ... ... Defining 'ease' matrix... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:52) after ~0.1 minutes. 
+out1 <- lcp_over_surface(origin = rxy[1, , drop = FALSE],
+                         destination = rxy[6, , drop = FALSE],
+                         surface = r,
+                         goal = 3,
+                         method = "gdistance",
+                         cl = parallel::makeCluster(2L))
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:52)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'gdistance'... 
+#> ... ... Defining 'ease' matrix... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:58) after ~0.1 minutes. 
+
+
+############################################################################
+#### Shortest distances/paths between origin/destination pairs
+
+#### Example (12): Shortest distances/paths computed in sequence:
+# cppRouting method
+out1 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE],
+                         destination = rxy[5:6, , drop = FALSE],
+                         surface = r,
+                         goal = 3)
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:58)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
+#> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:58) after ~0 minutes. 
+# gdistance method
+out2 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE],
+                         destination = rxy[5:6, , drop = FALSE],
+                         surface = r,
+                         goal = 3,
+                         method = "gdistance")
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:58)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'gdistance'... 
+#> ... ... Defining 'ease' matrix... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:58) after ~0 minutes. 
+out1$dist_lcp; out1$path_lcp
+#> [1] 8.124038 9.273618
+#> $cells
+#>   path_id path origin destination cell
+#> 1       1  2-6      2           6    2
+#> 2       1  1-5      1           5    5
+#> 3       2  2-6      2           6    6
+#> 
+#> $SpatialLines
+#> $SpatialLines$`1`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 7.5, 7.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> $SpatialLines$`2`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 12.5, 12.5, 7.5, 7.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> 
+#> $coordinates
+#> $coordinates$`1`
+#>        x    y
+#> [1,] 7.5 12.5
+#> [2,] 7.5  7.5
+#> 
+#> $coordinates$`2`
+#>         x   y
+#> [1,] 12.5 7.5
+#> 
+#> 
+out2$dist_lcp; out2$path_lcp
+#> [1] 8.124038 9.273618
+#> $cells
+#>   path_id path origin destination cell
+#> 1       1  1-5      1           5    1
+#> 2       1  1-5      1           5    5
+#> 3       2  2-6      2           6    2
+#> 4       2  2-6      2           6    6
+#> 
+#> $SpatialLines
+#> $SpatialLines$`1`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 2.5, 7.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> $SpatialLines$`2`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 7.5, 12.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> 
+#> $coordinates
+#> $coordinates$`1`
+#>        x    y
+#> [1,] 2.5 12.5
+#> [2,] 7.5  7.5
+#> 
+#> $coordinates$`2`
+#>         x    y
+#> [1,]  7.5 12.5
+#> [2,] 12.5  7.5
+#> 
+#> 
+
+#### Example (13): Shortest distances/paths computed in parallel:
+# cppRouting method for goal 3
+out1 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE],
+                         destination = rxy[5:6, , drop = FALSE],
+                         surface = r,
+                         goal = 3,
+                         use_all_cores = TRUE)
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:58)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing bi algorithm to compute least-cost distance(s)... 
+#> allcores argument is deprecated since v3.0. 
+#> Please use RcppParallel::setThreadOptions() to set the number of threads
+
+#> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:01:58) after ~0 minutes. 
+# gdistance method for goal 2
+out1 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE],
+                         destination = rxy[5:6, , drop = FALSE],
+                         surface = r,
+                         goal = 2,
+                         method = "gdistance",
+                         cl = parallel::makeCluster(2L))
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:01:58)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Using method = 'gdistance'... 
+#> ... ... Defining 'ease' matrix... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:02:05) after ~0.1 minutes. 
+# gdistance method for goal 3
+out1 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE],
+                         destination = rxy[5:6, , drop = FALSE],
+                         surface = r,
+                         goal = 3,
+                         method = "gdistance",
+                         cl = parallel::makeCluster(2L))
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:02:05)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'gdistance'... 
+#> ... ... Defining 'ease' matrix... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:02:11) after ~0.11 minutes. 
+
+
+############################################################################
+#### Shortest distances/paths between all origin/destination combinations
+
+#### Example (14) Compute all combinations via combination = "matrix"
+# cppRouting goal 3
+out1 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE],
+                         destination = rxy[5:6, , drop = FALSE],
+                         surface = r,
+                         goal = 3,
+                         cppRouting_algorithm = "phast",
+                         combination = "matrix")
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:02:11)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing phast algorithm to compute least-cost distance(s)... 
+#> ... .... Implementing Dijkstra's algorithm recursively to compute least-cost paths(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:02:11) after ~0 minutes. 
+out1$dist_euclid; out1$dist_lcp; out1$path_lcp
+#>          5         6
+#> 1 7.071068 11.180340
+#> 2 5.000000  7.071068
+#>           5         6
+#> 1  8.124038 13.954990
+#> 2 10.295630  9.273618
+#> $cells
+#>   path_id path origin destination cell
+#> 1       1  1-6      1           6    5
+#> 2       1  1-6      1           6    1
+#> 3       1  1-5      1           5    5
+#> 4       2  2-5      2           5    2
+#> 5       2  1-6      1           6    6
+#> 6       3  2-6      2           6    2
+#> 7       3  2-5      2           5    5
+#> 8       4  2-6      2           6    6
+#> 
+#> $SpatialLines
+#> $SpatialLines$`1`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 2.5, 7.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> $SpatialLines$`2`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 7.5, 12.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> $SpatialLines$`3`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 7.5, 7.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> $SpatialLines$`4`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 12.5, 12.5, 7.5, 7.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> 
+#> $coordinates
+#> $coordinates$`1`
+#>        x    y
+#> [1,] 7.5  7.5
+#> [2,] 2.5 12.5
+#> [3,] 7.5  7.5
+#> 
+#> $coordinates$`2`
+#>         x    y
+#> [1,]  7.5 12.5
+#> [2,] 12.5  7.5
+#> 
+#> $coordinates$`3`
+#>        x    y
+#> [1,] 7.5 12.5
+#> [2,] 7.5  7.5
+#> 
+#> $coordinates$`4`
+#>         x   y
+#> [1,] 12.5 7.5
+#> 
+#> 
+# cppRouting goal 3 parallelised
+out1 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE],
+                         destination = rxy[5:6, , drop = FALSE],
+                         surface = r,
+                         goal = 3,
+                         combination = "matrix",
+                         cppRouting_algorithm = "phast",
+                         use_all_cores = TRUE)
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:02:11)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing phast algorithm to compute least-cost distance(s)... 
+#> allcores argument is deprecated since v3.0. 
+#> Please use RcppParallel::setThreadOptions() to set the number of threads
+#> ... .... Implementing Dijkstra's algorithm recursively to compute least-cost paths(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:02:11) after ~0 minutes. 
+# gdistance goal 3
+out1 <- lcp_over_surface(origin = rxy[1:2, , drop = FALSE],
+                         destination = rxy[5:6, , drop = FALSE],
+                         surface = r,
+                         goal = 3,
+                         method = "gdistance",
+                         combination = "matrix",
+                         cl = parallel::makeCluster(2L))
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:02:11)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'gdistance'... 
+#> ... ... Defining 'ease' matrix... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:02:18) after ~0.1 minutes. 
+out1$dist_euclid; out1$dist_lcp; out1$path_lcp
+#>          5         6
+#> 1 7.071068 11.180340
+#> 2 5.000000  7.071068
+#>           5         6
+#> 1  8.124038 13.954990
+#> 2 10.295630  9.273618
+#> $cells
+#>   path_id path origin destination cell
+#> 1       1  1-5      1           5    1
+#> 2       1  1-5      1           5    5
+#> 3       2  2-5      2           5    2
+#> 4       2  2-5      2           5    5
+#> 5       3  1-6      1           6    1
+#> 6       3  1-6      1           6    5
+#> 7       3  1-6      1           6    6
+#> 8       4  2-6      2           6    2
+#> 9       4  2-6      2           6    6
+#> 
+#> $SpatialLines
+#> $SpatialLines$`1`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 2.5, 7.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> $SpatialLines$`2`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 7.5, 7.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> $SpatialLines$`3`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 2.5, 12.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> $SpatialLines$`4`
+#> class       : SpatialLines 
+#> features    : 1 
+#> extent      : 7.5, 12.5, 7.5, 12.5  (xmin, xmax, ymin, ymax)
+#> crs         : +proj=utm +zone=29 +datum=WGS84 +units=m +no_defs 
+#> 
+#> 
+#> $coordinates
+#> $coordinates$`1`
+#>        x    y
+#> [1,] 2.5 12.5
+#> [2,] 7.5  7.5
+#> 
+#> $coordinates$`2`
+#>        x    y
+#> [1,] 7.5 12.5
+#> [2,] 7.5  7.5
+#> 
+#> $coordinates$`3`
+#>         x    y
+#> [1,]  2.5 12.5
+#> [2,]  7.5  7.5
+#> [3,] 12.5  7.5
+#> 
+#> $coordinates$`4`
+#>         x    y
+#> [1,]  7.5 12.5
+#> [2,] 12.5  7.5
+#> 
+#> 
+
+#### Example (15): Real world example with multiple origins/destinations
+## Zoom in on an area of interest
+ext <- raster::extent(715000, 720000, 6250000, 6260000)
+dat_gebco_utm_planar_zoom <- raster::crop(dat_gebco_utm_planar, ext)
+## Define example origins/destinations
+# Define available coordinates
+dat_gebco_utm_planar_zoom_xy <- raster::coordinates(dat_gebco_utm_planar_zoom)
+# Sample random origins
+set.seed(2019)
+index       <- sample(1:nrow(dat_gebco_utm_planar_zoom_xy), 2)
+origin      <- dat_gebco_utm_planar_zoom_xy[index, ]
+# Sample random destinations
+set.seed(2020)
+index       <- sample(1:nrow(dat_gebco_utm_planar_zoom_xy), 3)
+destination <- dat_gebco_utm_planar_zoom_xy[index, ]
+# Implement algorithm
+out_gebco1 <- lcp_over_surface(origin = origin,
+                               destination = destination,
+                               surface = dat_gebco_utm_planar,
+                               method = "gdistance",
+                               goal = 3,
+                               combination = "matrix")
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:02:18)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'gdistance'... 
+#> ... ... Defining 'ease' matrix... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost distance(s)... 
+#> ... ... Implementing Dijkstra's algorithm to compute least-cost path(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:02:18) after ~0 minutes. 
+out_gebco2 <- lcp_over_surface(origin = origin,
+                               destination = destination,
+                               surface = dat_gebco_utm_planar,
+                               method = "cppRouting",
+                               goal = 3,
+                               combination = "matrix",
+                               cppRouting_algorithm = "phast")
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:02:18)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+#> ... Calculating Euclidean distance(s)... 
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing phast algorithm to compute least-cost distance(s)... 
+#> ... .... Implementing Dijkstra's algorithm recursively to compute least-cost paths(s)... 
+#> Warning: number of rows of result is not a multiple of vector length (arg 1)
+
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:02:18) after ~0 minutes. 
+# The function returns distances between all combinations
+out_gebco1$dist_lcp; out_gebco2$dist_lcp
+#>          2945     2463      3438
+#> 2610 3375.062 4064.206 6062.3124
+#> 3544 3270.267 5106.123  707.1401
+#>          2945     2463      3438
+#> 2610 3375.062 4064.206 6062.3124
+#> 3544 3270.267 5106.123  707.1401
+# The two outputs are the same (though the ordering of factor levels differs)
+str(out_gebco1$path_lcp$cells); str(out_gebco2$path_lcp$cells)
+#> 'data.frame':	83 obs. of  5 variables:
+#>  $ path_id    : num  1 1 1 1 1 1 1 1 1 1 ...
+#>  $ path       : Factor w/ 6 levels "2610-2945","3544-2945",..: 1 1 1 1 1 1 1 1 1 1 ...
+#>  $ origin     : int  2610 2610 2610 2610 2610 2610 2610 2610 2610 2610 ...
+#>  $ destination: int  2945 2945 2945 2945 2945 2945 2945 2945 2945 2945 ...
+#>  $ cell       : int  2610 2665 2666 2667 2668 2723 2778 2833 2834 2835 ...
+#> 'data.frame':	72 obs. of  5 variables:
+#>  $ path_id    : num  1 1 1 1 1 1 1 1 1 1 ...
+#>  $ path       : Factor w/ 6 levels "2610-2945","2610-2463",..: 2 2 2 2 2 2 2 2 2 2 ...
+#>  $ origin     : int  2610 2610 2610 2610 2610 2610 2610 2610 2610 2610 ...
+#>  $ destination: int  2463 2463 2463 2463 2463 2463 2463 2463 2463 2463 ...
+#>  $ cell       : int  2462 2461 2460 2459 2458 2457 2456 2455 2508 2561 ...
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/make_df_detections-1.png b/docs/reference/make_df_detections-1.png index 537f0dc..ecb40cb 100644 Binary files a/docs/reference/make_df_detections-1.png and b/docs/reference/make_df_detections-1.png differ diff --git a/docs/reference/make_df_detections-2.png b/docs/reference/make_df_detections-2.png index 707476b..858516a 100644 Binary files a/docs/reference/make_df_detections-2.png and b/docs/reference/make_df_detections-2.png differ diff --git a/docs/reference/make_df_detections-3.png b/docs/reference/make_df_detections-3.png index 9335e9c..16e2eac 100644 Binary files a/docs/reference/make_df_detections-3.png and b/docs/reference/make_df_detections-3.png differ diff --git a/docs/reference/make_df_detections.html b/docs/reference/make_df_detections.html index 1728d23..6dc1e50 100644 --- a/docs/reference/make_df_detections.html +++ b/docs/reference/make_df_detections.html @@ -1,67 +1,12 @@ - - - - - - - -Convert a detection matrix into a dataframe — make_df_detections • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Convert a detection matrix into a dataframe — make_df_detections • flapper - - + + - - -
    -
    - -
    - -
    +

    Convert a detection matrix into a dataframe

    - Source: R/make_dfs.R + Source: R/make_dfs.R
    @@ -123,119 +65,142 @@

    Convert a detection matrix into a dataframe

    This function converts a matrix of detections (0, 1) by time stamp and receiver into a dataframe.

    - 
    make_df_detections(
-  acoustics,
-  only_keep_detections = FALSE,
-  set_names = FALSE,
-  as_POSIXct = as.POSIXct
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - -
    acoustics

    A detection matrix (time stamps x receivers) in which the cells define whether (1) or not (0) a detection was made at each time stamp/receiver combination. `Meaningful' time stamps and receiver IDs can be taken from the row and column names of this matrix, if specified (see set_names).

    only_keep_detections

    A logical variable that defines whether or not to retain only observations that correspond to detections. (If only_keep_detections = FALSE, the returned dataframe includes time stamps without detections.)

    set_names

    A logical variable that defines whether or not to take the row and column names of acoustics as the time stamps and receiver IDs. (If set_names = FALSE, time stamps and receiver IDs are simply given as integer vectors of 1 to the number of rows or columns respectively.)

    as_POSIXct

    If set_names = TRUE, as_POSIXct is a function that converts the row names of acoustics into POSIXct time stamps.

    - -

    Value

    - -

    The function returns a dataframe with time stamps (`timestamp') and receivers (`receiver_id'). If set_names = FALSE, these are integer vectors that match the dimensions of acoustics. Otherwise they are are taken from row and column names of acoustics. In this case, if as_POSIXct is defined, time stamps are returned in POSIXct format and receivers are returned as a factor. If only_keep_detections = FALSE, the dataframe also includes a `detection' column that defines whether (1) or not (0) a detection was made for each observation; otherwise, this column is dropped (mirroring real-world data).

    -

    Author

    +
    + 
    make_df_detections(
+  acoustics,
+  only_keep_detections = FALSE,
+  set_names = FALSE,
+  as_POSIXct = as.POSIXct
+)
    +
    + +
    +

    Arguments

    +
    acoustics
    +

    A detection matrix (time stamps x receivers) in which the cells define whether (1) or not (0) a detection was made at each time stamp/receiver combination. `Meaningful' time stamps and receiver IDs can be taken from the row and column names of this matrix, if specified (see set_names).

    + +
    only_keep_detections
    +

    A logical variable that defines whether or not to retain only observations that correspond to detections. (If only_keep_detections = FALSE, the returned dataframe includes time stamps without detections.)

    + + +
    set_names
    +

    A logical variable that defines whether or not to take the row and column names of acoustics as the time stamps and receiver IDs. (If set_names = FALSE, time stamps and receiver IDs are simply given as integer vectors of 1 to the number of rows or columns respectively.)

    + + +
    as_POSIXct
    +

    If set_names = TRUE, as_POSIXct is a function that converts the row names of acoustics into POSIXct time stamps.

    + +
    +
    +

    Value

    + + +

    The function returns a dataframe with time stamps (`timestamp') and receivers (`receiver_id'). If set_names = FALSE, these are integer vectors that match the dimensions of acoustics. Otherwise they are are taken from row and column names of acoustics. In this case, if as_POSIXct is defined, time stamps are returned in POSIXct format and receivers are returned as a factor. If only_keep_detections = FALSE, the dataframe also includes a `detection' column that defines whether (1) or not (0) a detection was made for each observation; otherwise, this column is dropped (mirroring real-world data).

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Define detection matrix
-# Simulate array
-array <- sim_array(boundaries = raster::extent(-1000, 1000, -1000, 1000),
-                   n_receivers = 24, seed = 1)
-
    #> flapper::sim_array() called (@ 2022-06-17 10:06:34)... 
-#> ... Defining area... 
    #> CRS of area is NA.
    #> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
-#> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:06:34) after ~0 minutes. 
    # Simulate movement in this area
-path <- sim_path_sa(n = 50, area = array$array$area, seed = 1)
-
    #> flapper::sim_path_sa() called (@ 2022-06-17 10:06:34)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> 
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  |======================================================================| 100%... Plotting simulated path... 
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::sim_path_sa() call completed (@ 2022-06-17 10:06:35) after ~0 minutes. 
    # Simulate a detection matrix
-detections <- sim_detections(n = 100,
-                             path = path$xy_mat,
-                             xy = sp::coordinates(array$array$xy),
-                             calc_detection_pr = function(dist) ifelse(dist < 425, 1, 0),
-                             )
-
    #> flapper::sim_detections() called (@ 2022-06-17 10:06:35)... 
-#> ... Setting up simulation... 
-#> ... Calculating distances... 
-#> ... Calculating probabilities... 
-#> ... Simulating detections... 
-#> ... Plotting detections... 
    #> Warning: "n" is not a graphical parameter
    #> Warning: "n" is not a graphical parameter
    #> Warning: "n" is not a graphical parameter
    #> ... flapper::simulate_detections() call completed (@ 2022-06-17 10:06:35) after ~0 minutes. 
    # Extract matrix
-mat <- detections$det_mat
-# Define row names
-rownames(mat) <-
-  as.character(
-    seq(as.POSIXct("2016-01-01"), by = "2 mins", length.out = nrow(mat))
-  )
-
-#### Examples: convert the matrix to a dataframe
-utils::str(mat)
-
    #>  int [1:50, 1:24] 0 0 0 0 0 0 0 0 0 0 ...
-#>  - attr(*, "dimnames")=List of 2
-#>   ..$ : chr [1:50] "2016-01-01 00:00:00" "2016-01-01 00:02:00" "2016-01-01 00:04:00" "2016-01-01 00:06:00" ...
-#>   ..$ : NULL
    dat <- make_df_detections(mat)
-utils::str(dat)
-
    #> 'data.frame':	1200 obs. of  3 variables:
-#>  $ timestamp  : int  1 1 1 1 1 1 1 1 1 1 ...
-#>  $ receiver_id: int  1 2 3 4 5 6 7 8 9 10 ...
-#>  $ detection  : int  0 0 0 0 0 0 0 0 0 0 ...
    dat <- make_df_detections(mat, only_keep_detections = TRUE)
-utils::str(dat)
-
    #> 'data.frame':	160 obs. of  2 variables:
-#>  $ timestamp  : int  2 2 3 3 3 4 4 4 4 5 ...
-#>  $ receiver_id: int  15 17 13 15 17 8 13 15 17 8 ...
    dat <- make_df_detections(mat, only_keep_detections = TRUE, set_names = TRUE)
-
    #> 'set_names' not implemented for columns: 'acoustics' does not contain column names.
    utils::str(dat)
-
    #> 'data.frame':	160 obs. of  2 variables:
-#>  $ timestamp  : POSIXct, format: "2016-01-01 00:02:00" "2016-01-01 00:02:00" ...
-#>  $ receiver_id: int  15 17 13 15 17 8 13 15 17 8 ...
    
-
    +
    +

    Examples

    + 
    #### Define detection matrix
+# Simulate array
+array <- sim_array(boundaries = raster::extent(-1000, 1000, -1000, 1000),
+                   n_receivers = 24, seed = 1)
+#> flapper::sim_array() called (@ 2023-02-19 15:02:22)... 
+#> ... Defining area... 
+#> CRS of area is NA.
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:02:22) after ~0 minutes. 
+# Simulate movement in this area
+path <- sim_path_sa(n = 50, area = array$array$area, seed = 1)
+#> flapper::sim_path_sa() called (@ 2023-02-19 15:02:22)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> 
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  |======================================================================| 100%... Plotting simulated path... 
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... flapper::sim_path_sa() call completed (@ 2023-02-19 15:02:22) after ~0 minutes. 
+# Simulate a detection matrix
+detections <- sim_detections(n = 100,
+                             path = path$xy_mat,
+                             xy = sp::coordinates(array$array$xy),
+                             calc_detection_pr = function(dist) ifelse(dist < 425, 1, 0),
+                             )
+#> flapper::sim_detections() called (@ 2023-02-19 15:02:22)... 
+#> ... Setting up simulation... 
+#> ... Calculating distances... 
+#> ... Calculating probabilities... 
+#> ... Simulating detections... 
+#> ... Plotting detections... 
+#> Warning: "n" is not a graphical parameter
+#> Warning: "n" is not a graphical parameter
+#> Warning: "n" is not a graphical parameter
+
+#> ... flapper::simulate_detections() call completed (@ 2023-02-19 15:02:22) after ~0 minutes. 
+# Extract matrix
+mat <- detections$det_mat
+# Define row names
+rownames(mat) <-
+  as.character(
+    seq(as.POSIXct("2016-01-01"), by = "2 mins", length.out = nrow(mat))
+  )
+
+#### Examples: convert the matrix to a dataframe
+utils::str(mat)
+#>  int [1:50, 1:24] 0 0 0 0 0 0 0 0 0 0 ...
+#>  - attr(*, "dimnames")=List of 2
+#>   ..$ : chr [1:50] "2016-01-01 00:00:00" "2016-01-01 00:02:00" "2016-01-01 00:04:00" "2016-01-01 00:06:00" ...
+#>   ..$ : NULL
+dat <- make_df_detections(mat)
+utils::str(dat)
+#> 'data.frame':	1200 obs. of  3 variables:
+#>  $ timestamp  : int  1 1 1 1 1 1 1 1 1 1 ...
+#>  $ receiver_id: int  1 2 3 4 5 6 7 8 9 10 ...
+#>  $ detection  : int  0 0 0 0 0 0 0 0 0 0 ...
+dat <- make_df_detections(mat, only_keep_detections = TRUE)
+utils::str(dat)
+#> 'data.frame':	160 obs. of  2 variables:
+#>  $ timestamp  : int  2 2 3 3 3 4 4 4 4 5 ...
+#>  $ receiver_id: int  15 17 13 15 17 8 13 15 17 8 ...
+dat <- make_df_detections(mat, only_keep_detections = TRUE, set_names = TRUE)
+#> 'set_names' not implemented for columns: 'acoustics' does not contain column names.
+utils::str(dat)
+#> 'data.frame':	160 obs. of  2 variables:
+#>  $ timestamp  : POSIXct, format: "2016-01-01 00:02:00" "2016-01-01 00:02:00" ...
+#>  $ receiver_id: int  15 17 13 15 17 8 13 15 17 8 ...
+
+
    +
    +
    - - - + + diff --git a/docs/reference/make_matrix_cooccurence-1.png b/docs/reference/make_matrix_cooccurence-1.png index f9b51e8..20fad17 100644 Binary files a/docs/reference/make_matrix_cooccurence-1.png and b/docs/reference/make_matrix_cooccurence-1.png differ diff --git a/docs/reference/make_matrix_cooccurence-2.png b/docs/reference/make_matrix_cooccurence-2.png index 92c9e77..4c3f04f 100644 Binary files a/docs/reference/make_matrix_cooccurence-2.png and b/docs/reference/make_matrix_cooccurence-2.png differ diff --git a/docs/reference/make_matrix_cooccurence-3.png b/docs/reference/make_matrix_cooccurence-3.png index 55fb17e..340dcc0 100644 Binary files a/docs/reference/make_matrix_cooccurence-3.png and b/docs/reference/make_matrix_cooccurence-3.png differ diff --git a/docs/reference/make_matrix_cooccurence.html b/docs/reference/make_matrix_cooccurence.html index 7307f95..f1e65ae 100644 --- a/docs/reference/make_matrix_cooccurence.html +++ b/docs/reference/make_matrix_cooccurence.html @@ -1,67 +1,12 @@ - - - - - - - -Compute a detection history similarity matrix — make_matrix_cooccurence • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Compute a detection history similarity matrix — make_matrix_cooccurence • flapper - - - - + + -
    -
    - -
    - -
    +

    Compute a detection history similarity matrix

    - Source: R/make_matrices.R + Source: R/make_matrices.R
    -

    The function computes a detection history similarity matrix. For all combinations of individuals, this shows the total number (or percentage) of detections `nearby' in space and time, which can help to elucidate possible interactions among individuals that affect space use (see Details). To compute this matrix, the function pairs detections for each individual with the detections nearest in time for each other individual. The function computes the time (minutes) between paired detection time series, and the distance (m) between the receiver(s) at which paired detections occurred, dropping any detection pairs that are further apart in time or space than user-defined thresholds (which depend on the mobility of the species under investigation). For each combination of individuals, the function returns total number (or percentage) of detections that are closely associated in time and space. For very large combinations of individuals, especially those with long, overlapping time series, the function may take some time to run; therefore, testing the function on a small subset of individuals first is advisable. Parallelisation can be used to improve computation time. Similarity matrices can be visualised with pretty_mat.

    +

    The function computes a detection history similarity matrix. For all combinations of individuals, this shows the total number (or percentage) of detections `nearby' in space and time, which can help to elucidate possible interactions among individuals that affect space use (see Details). To compute this matrix, the function pairs detections for each individual with the detections nearest in time for each other individual. The function computes the time (minutes) between paired detection time series, and the distance (m) between the receiver(s) at which paired detections occurred, dropping any detection pairs that are further apart in time or space than user-defined thresholds (which depend on the mobility of the species under investigation). For each combination of individuals, the function returns total number (or percentage) of detections that are closely associated in time and space. For very large combinations of individuals, especially those with long, overlapping time series, the function may take some time to run; therefore, testing the function on a small subset of individuals first is advisable. Parallelisation can be used to improve computation time. Similarity matrices can be visualised with pretty_mat.

    - 
    make_matrix_cooccurence(
-  acoustics_ls,
-  thresh_time,
-  thresh_dist,
-  cl = NULL,
-  varlist = NULL,
-  output = 1,
-  verbose = TRUE
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - -
    acoustics_ls

    A list of dataframes, with one element for each individual, which contains each individual's detection time series. Each dataframe must include the following columns: `individual_id', a factor which specifies unique individuals; `timestamp', a POSIXct object which specifies the time of each detection; `receiver_long', the longitude (decimal degrees) of the receiver(s) at the individual was detected; and `receiver_lat', the latitude (decimal degrees) of the receiver(s) at which individual was detected. Each dataframe should be ordered by `individual_id' and then by `timestamp'. Careful ordering of `individual_id' factor levels (e.g. perhaps by population group, then by the number of detections of each individual) can aid visualisation of similarity matrices, in which the order or rows/columns corresponds directly to the order of individuals in acoustics_ls. Sequential elements in acoustics_ls should correspond to sequential factor levels for `individual_id', which should be the same across all dataframes.

    thresh_time

    A number which specifies the time, in minutes, after which detections at nearby receivers are excluded.

    thresh_dist

    A number which specifies the (Euclidean) distance between receivers, in metres, beyond which detections are excluded (see Details).

    cl, varlist

    (optional) cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    output

    A number which specifies the output type. If output = 1, the function returns a (usually) symmetric similarity matrix in which each number represents the number of detections nearby in space and time for each pair of individuals. Row and column names are assigned from the `individual_id' column in acoustics_ls dataframes. This matrix is usually symmetric, but this is not necessarily the case for data collected from tags which transmit at random intervals around a nominal delay: under this scenario, the tag for a given individual (i) may transmit multiple signals in the space of time that the tag for another individual (j) only releases a single transmission. In this case, the pairing i,j will comprise all unique transmissions for individual i, paired with the nearest observations for individual j, some of which will be duplicate observations. Therefore, this pairing will contain more `shared observations' than the pairing j,i. However, even under random transmission, the matrix will usually be either symmetric or very nearly symmetric, with only small differences between identical pairs. If output = 2, the function returns a list with the following elements: (1) `mat_sim', the symmetric similarity matrix (see above); `mat_nobs', a matrix with the same dimensions as `mat_sim' which specifies the number of observations for each individual (by row, used to calculate `mat_pc', see later); `mat_pc', a non-symmetric matrix in which each cell represents the percent of observations of the individual in the i'th row that are shared with the individual in the j'th column; and `dat', a nested list, with one element for each individual which comprises a list of dataframes, one for each other individual, each one of which contains the subset of observations that are shared between the two individuals. Each dataframe contains the same columns as in the acoustics_ls dataframes with the following columns added: `pos_in_acc2', `timestamp_acc2', `receiver_lat_acc2' and `receiver_long_acc2', which represent the positions, time stamps and locations of corresponding observations in the second individual's dataframe to the first individual's dataframe, and `difftime_abs' and `dist_btw_receivers' which represent the duration (minutes) and distances (m) between corresponding observations. When there are no shared observations between a pair of individuals, the element simply contains NULL. Note that `mat_pc' is computed by (mat_sim/mat_nobs)*100. The matrix is therefore non-symmetric (if individuals have differing numbers of observations); i.e., mat_pc[i, j] is the percent of individual i's observations that are shared with individual j; while mat_pc[j, i] is the percent of individual j's observations that are shared with individual i. NaN elements are possible in `mat_pc' for levels of the factor `individual_id' without observations.

    verbose

    A logical input which specifies whether or not to print messages to the console which relay function progress.

    - -

    Value

    - -

    The function returns a matrix or a list, depending on the input to output (see above).

    -

    Details

    +
    + 
    make_matrix_cooccurence(
+  acoustics_ls,
+  thresh_time,
+  thresh_dist,
+  cl = NULL,
+  varlist = NULL,
+  output = 1,
+  verbose = TRUE
+)
    +
    + +
    +

    Arguments

    +
    acoustics_ls
    +

    A list of dataframes, with one element for each individual, which contains each individual's detection time series. Each dataframe must include the following columns: `individual_id', a factor which specifies unique individuals; `timestamp', a POSIXct object which specifies the time of each detection; `receiver_long', the longitude (decimal degrees) of the receiver(s) at the individual was detected; and `receiver_lat', the latitude (decimal degrees) of the receiver(s) at which individual was detected. Each dataframe should be ordered by `individual_id' and then by `timestamp'. Careful ordering of `individual_id' factor levels (e.g. perhaps by population group, then by the number of detections of each individual) can aid visualisation of similarity matrices, in which the order or rows/columns corresponds directly to the order of individuals in acoustics_ls. Sequential elements in acoustics_ls should correspond to sequential factor levels for `individual_id', which should be the same across all dataframes.

    + + +
    thresh_time
    +

    A number which specifies the time, in minutes, after which detections at nearby receivers are excluded.

    + + +
    thresh_dist
    +

    A number which specifies the (Euclidean) distance between receivers, in metres, beyond which detections are excluded (see Details).

    + + +
    cl, varlist
    +

    (optional) cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    + + +
    output
    +

    A number which specifies the output type. If output = 1, the function returns a (usually) symmetric similarity matrix in which each number represents the number of detections nearby in space and time for each pair of individuals. Row and column names are assigned from the `individual_id' column in acoustics_ls dataframes. This matrix is usually symmetric, but this is not necessarily the case for data collected from tags which transmit at random intervals around a nominal delay: under this scenario, the tag for a given individual (i) may transmit multiple signals in the space of time that the tag for another individual (j) only releases a single transmission. In this case, the pairing i,j will comprise all unique transmissions for individual i, paired with the nearest observations for individual j, some of which will be duplicate observations. Therefore, this pairing will contain more `shared observations' than the pairing j,i. However, even under random transmission, the matrix will usually be either symmetric or very nearly symmetric, with only small differences between identical pairs. If output = 2, the function returns a list with the following elements: (1) `mat_sim', the symmetric similarity matrix (see above); `mat_nobs', a matrix with the same dimensions as `mat_sim' which specifies the number of observations for each individual (by row, used to calculate `mat_pc', see later); `mat_pc', a non-symmetric matrix in which each cell represents the percent of observations of the individual in the i'th row that are shared with the individual in the j'th column; and `dat', a nested list, with one element for each individual which comprises a list of dataframes, one for each other individual, each one of which contains the subset of observations that are shared between the two individuals. Each dataframe contains the same columns as in the acoustics_ls dataframes with the following columns added: `pos_in_acc2', `timestamp_acc2', `receiver_lat_acc2' and `receiver_long_acc2', which represent the positions, time stamps and locations of corresponding observations in the second individual's dataframe to the first individual's dataframe, and `difftime_abs' and `dist_btw_receivers' which represent the duration (minutes) and distances (m) between corresponding observations. When there are no shared observations between a pair of individuals, the element simply contains NULL. Note that `mat_pc' is computed by (mat_sim/mat_nobs)*100. The matrix is therefore non-symmetric (if individuals have differing numbers of observations); i.e., mat_pc[i, j] is the percent of individual i's observations that are shared with individual j; while mat_pc[j, i] is the percent of individual j's observations that are shared with individual i. NaN elements are possible in `mat_pc' for levels of the factor `individual_id' without observations.

    + +
    verbose
    +

    A logical input which specifies whether or not to print messages to the console which relay function progress.

    + +
    +
    +

    Value

    + + +

    The function returns a matrix or a list, depending on the input to output (see above).

    +
    +
    +

    Details

    -

    Background

    +
    +

    Background

    Passive acoustic telemetry is widely used to study animal space use, and the possible drivers of spatiotemporal patterns in space use, in aquatic environments. Patterns in space use are widely related to environmental conditions, such as temperature, but the role of interactions among individuals is often more challenging to investigate due to a paucity of data, despite their likely importance. However, discrete detections also contain information on interactions among individuals that may influence space use through their similarities and differences among individuals over time and space.

    +
    -

    Implications

    +
    +

    Implications

    Similarities and differences can take different forms with differing ecological implications. For example, for individuals that are frequently detected in similar areas, detections may indicate (a) prolonged associations among individuals, if detections are usually closely associated in time and space (for example, due to parent-offspring relationships, group-living and/or mating); or (b) avoidance and/or territorial-like behaviour if detections, while close in space, are usually at different receivers and/or disjointed in time. Likewise, detection similarities among individuals that are rarely detected, or usually detected at disparate receivers, may reflect important interactions among those individuals at particular times (e.g. mating).

    +
    -

    Methods

    +
    +

    Methods

    To explore similarities and differences in patterns of space use, visualisation of detection histories with abacus plots and maps is beneficial. However, with many individuals and large receiver arrays, quantification of the similarities in detections over time and space is challenging. To this end, make_matrix_cooccurence computes a similarity matrix across all individuals, defining the number (or percentage) of detections for each individual that are nearby in time, or space, to detections for each other individual.

    +
    -

    Assumptions

    +
    +

    Assumptions

    The distances beyond which detections of different individuals nearby in time are considered to demonstrate that those individuals are not closely associated are Euclidean. This may be problematic (e.g. when receivers hug complex coastlines).

    +
    -

    Author

    - +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Prepare data
-# acoustics_ls requires a dataframe with certain columns
-# individual_id should be a factor
-dat_acoustics$individual_id <- factor(dat_acoustics$individual_id)
-# ensure dataframe ordered by individual, then time stamp
-dat_acoustics <- dat_acoustics[order(dat_acoustics$individual_id, dat_acoustics$timestamp), ]
-# define list of dataframes
-acoustics_ls <- split(dat_acoustics, factor(dat_acoustics$individual_id))
-
-#### Example (1): Compute detection similarity matrix using default options
-# mat_sim contains the number of observations shared among individuals
-mat_sim <- make_matrix_cooccurence(acoustics_ls = acoustics_ls,
-                           thresh_time = 90,
-                           thresh_dist = 0)
-
    #> 
-#> ===================================================================================
-#> Individual ( 25 ) and individual ( 28 ).
-#> Matching detection time series...
-#> Processing time series by theshold time difference...
-#> Computing differences between pairs of receivers...
-#> Processing time series by threshold distance...
-#> 
-#> ===================================================================================
-#> Individual ( 25 ) and individual ( 35 ).
-#> Matching detection time series...
-#> Processing time series by theshold time difference...
-#> Computing differences between pairs of receivers...
-#> Processing time series by threshold distance...
-#> 
-#> ===================================================================================
-#> Individual ( 28 ) and individual ( 25 ).
-#> Matching detection time series...
-#> Processing time series by theshold time difference...
-#> Computing differences between pairs of receivers...
-#> Processing time series by threshold distance...
-#> 
-#> ===================================================================================
-#> Individual ( 28 ) and individual ( 35 ).
-#> Matching detection time series...
-#> Processing time series by theshold time difference...
-#> Computing differences between pairs of receivers...
-#> Processing time series by threshold distance...
-#> 
-#> ===================================================================================
-#> Individual ( 35 ) and individual ( 25 ).
-#> Matching detection time series...
-#> Processing time series by theshold time difference...
-#> Computing differences between pairs of receivers...
-#> Processing time series by threshold distance...
-#> 
-#> ===================================================================================
-#> Individual ( 35 ) and individual ( 28 ).
-#> Matching detection time series...
-#> Processing time series by theshold time difference...
-#> Computing differences between pairs of receivers...
-#> Processing time series by threshold distance...
    prettyGraphics::pretty_mat(mat_sim, col_diag = "dimgrey")
-
    
-#### Example (2): Return list of outputs
-out_ls <- make_matrix_cooccurence(acoustics_ls = acoustics_ls,
-                          thresh_time = 90,
-                          thresh_dist = 0,
-                          output = 2)
-
    #> 
-#> ===================================================================================
-#> Individual ( 25 ) and individual ( 28 ).
-#> Matching detection time series...
-#> Processing time series by theshold time difference...
-#> Computing differences between pairs of receivers...
-#> Processing time series by threshold distance...
-#> 
-#> ===================================================================================
-#> Individual ( 25 ) and individual ( 35 ).
-#> Matching detection time series...
-#> Processing time series by theshold time difference...
-#> Computing differences between pairs of receivers...
-#> Processing time series by threshold distance...
-#> 
-#> ===================================================================================
-#> Individual ( 28 ) and individual ( 25 ).
-#> Matching detection time series...
-#> Processing time series by theshold time difference...
-#> Computing differences between pairs of receivers...
-#> Processing time series by threshold distance...
-#> 
-#> ===================================================================================
-#> Individual ( 28 ) and individual ( 35 ).
-#> Matching detection time series...
-#> Processing time series by theshold time difference...
-#> Computing differences between pairs of receivers...
-#> Processing time series by threshold distance...
-#> 
-#> ===================================================================================
-#> Individual ( 35 ) and individual ( 25 ).
-#> Matching detection time series...
-#> Processing time series by theshold time difference...
-#> Computing differences between pairs of receivers...
-#> Processing time series by threshold distance...
-#> 
-#> ===================================================================================
-#> Individual ( 35 ) and individual ( 28 ).
-#> Matching detection time series...
-#> Processing time series by theshold time difference...
-#> Computing differences between pairs of receivers...
-#> Processing time series by threshold distance...
    names(out_ls)
-
    #> [1] "mat_sim"  "mat_nobs" "mat_pc"   "dat"     
    # Examine number of observations for each individual
-prettyGraphics::pretty_mat(out_ls$mat_nobs)
-
    # Examine % shared detections between individuals
-prettyGraphics::pretty_mat(out_ls$mat_pc, col_diag = "dimgrey")
-
    
-#### Example (3): Turn off messages with verbose = FALSE
-out_ls_non_verb <- make_matrix_cooccurence(acoustics_ls = acoustics_ls,
-                                   thresh_time = 90,
-                                   thresh_dist = 0,
-                                   verbose = FALSE)
-
-#### Example (4): Implement algorithm in parallel
-out_ls_pl <- make_matrix_cooccurence(acoustics_ls = acoustics_ls,
-                             thresh_time = 90,
-                             thresh_dist = 0,
-                             cl = parallel::makeCluster(2L),
-                             output = 2)
-names(out_ls_pl)
-
    #> [1] "mat_sim"  "mat_nobs" "mat_pc"   "dat"     
    
-
    +
    +

    Examples

    + 
    #### Prepare data
+# acoustics_ls requires a dataframe with certain columns
+# individual_id should be a factor
+dat_acoustics$individual_id <- factor(dat_acoustics$individual_id)
+# ensure dataframe ordered by individual, then time stamp
+dat_acoustics <- dat_acoustics[order(dat_acoustics$individual_id, dat_acoustics$timestamp), ]
+# define list of dataframes
+acoustics_ls <- split(dat_acoustics, factor(dat_acoustics$individual_id))
+
+#### Example (1): Compute detection similarity matrix using default options
+# mat_sim contains the number of observations shared among individuals
+mat_sim <- make_matrix_cooccurence(acoustics_ls = acoustics_ls,
+                           thresh_time = 90,
+                           thresh_dist = 0)
+#> 
+#> ===================================================================================
+#> Individual ( 25 ) and individual ( 28 ).
+#> Matching detection time series...
+#> Processing time series by theshold time difference...
+#> Computing differences between pairs of receivers...
+#> Processing time series by threshold distance...
+#> 
+#> ===================================================================================
+#> Individual ( 25 ) and individual ( 35 ).
+#> Matching detection time series...
+#> Processing time series by theshold time difference...
+#> Computing differences between pairs of receivers...
+#> Processing time series by threshold distance...
+#> 
+#> ===================================================================================
+#> Individual ( 28 ) and individual ( 25 ).
+#> Matching detection time series...
+#> Processing time series by theshold time difference...
+#> Computing differences between pairs of receivers...
+#> Processing time series by threshold distance...
+#> 
+#> ===================================================================================
+#> Individual ( 28 ) and individual ( 35 ).
+#> Matching detection time series...
+#> Processing time series by theshold time difference...
+#> Computing differences between pairs of receivers...
+#> Processing time series by threshold distance...
+#> 
+#> ===================================================================================
+#> Individual ( 35 ) and individual ( 25 ).
+#> Matching detection time series...
+#> Processing time series by theshold time difference...
+#> Computing differences between pairs of receivers...
+#> Processing time series by threshold distance...
+#> 
+#> ===================================================================================
+#> Individual ( 35 ) and individual ( 28 ).
+#> Matching detection time series...
+#> Processing time series by theshold time difference...
+#> Computing differences between pairs of receivers...
+#> Processing time series by threshold distance...
+prettyGraphics::pretty_mat(mat_sim, col_diag = "dimgrey")
+
+
+#### Example (2): Return list of outputs
+out_ls <- make_matrix_cooccurence(acoustics_ls = acoustics_ls,
+                          thresh_time = 90,
+                          thresh_dist = 0,
+                          output = 2)
+#> 
+#> ===================================================================================
+#> Individual ( 25 ) and individual ( 28 ).
+#> Matching detection time series...
+#> Processing time series by theshold time difference...
+#> Computing differences between pairs of receivers...
+#> Processing time series by threshold distance...
+#> 
+#> ===================================================================================
+#> Individual ( 25 ) and individual ( 35 ).
+#> Matching detection time series...
+#> Processing time series by theshold time difference...
+#> Computing differences between pairs of receivers...
+#> Processing time series by threshold distance...
+#> 
+#> ===================================================================================
+#> Individual ( 28 ) and individual ( 25 ).
+#> Matching detection time series...
+#> Processing time series by theshold time difference...
+#> Computing differences between pairs of receivers...
+#> Processing time series by threshold distance...
+#> 
+#> ===================================================================================
+#> Individual ( 28 ) and individual ( 35 ).
+#> Matching detection time series...
+#> Processing time series by theshold time difference...
+#> Computing differences between pairs of receivers...
+#> Processing time series by threshold distance...
+#> 
+#> ===================================================================================
+#> Individual ( 35 ) and individual ( 25 ).
+#> Matching detection time series...
+#> Processing time series by theshold time difference...
+#> Computing differences between pairs of receivers...
+#> Processing time series by threshold distance...
+#> 
+#> ===================================================================================
+#> Individual ( 35 ) and individual ( 28 ).
+#> Matching detection time series...
+#> Processing time series by theshold time difference...
+#> Computing differences between pairs of receivers...
+#> Processing time series by threshold distance...
+names(out_ls)
+#> [1] "mat_sim"  "mat_nobs" "mat_pc"   "dat"     
+# Examine number of observations for each individual
+prettyGraphics::pretty_mat(out_ls$mat_nobs)
+
+# Examine % shared detections between individuals
+prettyGraphics::pretty_mat(out_ls$mat_pc, col_diag = "dimgrey")
+
+
+#### Example (3): Turn off messages with verbose = FALSE
+out_ls_non_verb <- make_matrix_cooccurence(acoustics_ls = acoustics_ls,
+                                   thresh_time = 90,
+                                   thresh_dist = 0,
+                                   verbose = FALSE)
+
+#### Example (4): Implement algorithm in parallel
+out_ls_pl <- make_matrix_cooccurence(acoustics_ls = acoustics_ls,
+                             thresh_time = 90,
+                             thresh_dist = 0,
+                             cl = parallel::makeCluster(2L),
+                             output = 2)
+names(out_ls_pl)
+#> [1] "mat_sim"  "mat_nobs" "mat_pc"   "dat"     
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/make_matrix_detections.html b/docs/reference/make_matrix_detections.html index 693a5b8..b3a328c 100644 --- a/docs/reference/make_matrix_detections.html +++ b/docs/reference/make_matrix_detections.html @@ -1,67 +1,12 @@ - - - - - - - -Matricise detection time series — make_matrix_detections • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Matricise detection time series — make_matrix_detections • flapper - - + + - - -
    -
    - -
    - -
    +

    Matricise detection time series

    - Source: R/make_matrices.R + Source: R/make_matrices.R
    @@ -123,126 +65,137 @@

    Matricise detection time series

    This function creates a list of matrices that, for each individual (list element), defines the number of detections of that individual in each time interval (matrix row) at each receiver (matrix column). To implement the function, a dataframe with acoustic detection time series must be provided via acoustics. The time intervals over which to count detections are provided by optionally defining a start and end date (these can be taken from the range of times in acoustics if unspecified) and the interval (delta_t) between time steps. By default, matrix elements that are `outside' individual or receiver deployment periods are defined as 0 (not detected) but can be changed to another value (e.g., NA) via set_outside. In this case, the acoustics dataframe also needs to include the deployment times for each individual and an additional dataframe must be supplied with the same information for receivers via moorings.

    - 
    make_matrix_detections(
-  acoustics,
-  moorings = NULL,
-  start = NULL,
-  end = NULL,
-  delta_t = "120 mins",
-  simplify = NULL,
-  set_outside = NULL,
-  as_POSIXct = as.POSIXct,
-  set_names = TRUE,
-  verbose = TRUE
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    acoustics

    A dataframe that defines passive acoustic telemetry detection time series. This should contain the following columns: a vector of individual IDs, named `individual_id'; a (factor) vector of receiver IDs, named `receiver_id'. If set_outside is specified, this should also contain POSIXct vectors of the start and end time of each individual's time at liberty, named `tag_start_date' and `tag_end_date' respectively.

    moorings

    (optional) If set_outside is specified, moorings is dataframe that defines passive acoustic telemetry receiver metadata. This should contain the following columns: a vector of receiver IDs, named `receiver_id (as in acoustics); and POSIXct vectors of the start and end times of each receiver's deployment time, named `receiver_start_date' and `receiver_end_date' respectively.

    start, end

    POSIXct objects that define the start and end time. If unspecified, these are taken from the range of detection times in acoustics.

    delta_t

    A number or character that defines the time interval between successive time steps. This is passed to the `by' argument of seq.POSIXt.

    simplify

    (optional) A function that simplifies detection matrices, such as function(x) (x > 0) + 0 to convert counts into a boolean outcomes that define whether or a detection was made.

    set_outside

    (optional) A value (e.g., NA) that is assigned to any matrix element that is outside of an individual's or receiver's deployment period when detection was not possible.

    as_POSIXct

    A function that coerces any supplied times that are not POSIXct objects to POSIXct objects.

    set_names

    A logical variable that defines whether or not to set the row and column names of the matrix to the time steps and the receiver IDs respectively.

    verbose

    A logical variable that defines whether or not to print messages to the console to relay function progress.

    - -

    Value

    - -

    A matrix, or a list of matrices (one for each individual in acoustics if there is more than one individual) with one column for each time step and one column for each receiver. Each cell defines whether (1) or not (0) the individual was detected (or, if set_outside is supplied, it could not have been detected) during that time step. All matrices are expressed across the same sequence of time steps and receivers.

    -

    Author

    +
    + 
    make_matrix_detections(
+  acoustics,
+  moorings = NULL,
+  start = NULL,
+  end = NULL,
+  delta_t = "120 mins",
+  simplify = NULL,
+  set_outside = NULL,
+  as_POSIXct = as.POSIXct,
+  set_names = TRUE,
+  verbose = TRUE
+)
    +
    + +
    +

    Arguments

    +
    acoustics
    +

    A dataframe that defines passive acoustic telemetry detection time series. This should contain the following columns: a vector of individual IDs, named `individual_id'; a (factor) vector of receiver IDs, named `receiver_id'. If set_outside is specified, this should also contain POSIXct vectors of the start and end time of each individual's time at liberty, named `tag_start_date' and `tag_end_date' respectively.

    + + +
    moorings
    +

    (optional) If set_outside is specified, moorings is dataframe that defines passive acoustic telemetry receiver metadata. This should contain the following columns: a vector of receiver IDs, named `receiver_id (as in acoustics); and POSIXct vectors of the start and end times of each receiver's deployment time, named `receiver_start_date' and `receiver_end_date' respectively.

    + + +
    start, end
    +

    POSIXct objects that define the start and end time. If unspecified, these are taken from the range of detection times in acoustics.

    + + +
    delta_t
    +

    A number or character that defines the time interval between successive time steps. This is passed to the `by' argument of seq.POSIXt.

    + + +
    simplify
    +

    (optional) A function that simplifies detection matrices, such as function(x) (x > 0) + 0 to convert counts into a boolean outcomes that define whether or a detection was made.

    + +
    set_outside
    +

    (optional) A value (e.g., NA) that is assigned to any matrix element that is outside of an individual's or receiver's deployment period when detection was not possible.

    + + +
    as_POSIXct
    +

    A function that coerces any supplied times that are not POSIXct objects to POSIXct objects.

    + + +
    set_names
    +

    A logical variable that defines whether or not to set the row and column names of the matrix to the time steps and the receiver IDs respectively.

    + + +
    verbose
    +

    A logical variable that defines whether or not to print messages to the console to relay function progress.

    + +
    +
    +

    Value

    + + +

    A matrix, or a list of matrices (one for each individual in acoustics if there is more than one individual) with one column for each time step and one column for each receiver. Each cell defines whether (1) or not (0) the individual was detected (or, if set_outside is supplied, it could not have been detected) during that time step. All matrices are expressed across the same sequence of time steps and receivers.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1) Construct matrix from detected individuals using detection time series
-dat_acoustics$receiver_id <- factor(dat_acoustics$receiver_id)
-mat_by_id <- make_matrix_detections(dat_acoustics)
-
    #> flapper::make_matrix_detections() called (@ 2022-06-17 10:06:38)... 
-#> ... Checking user inputs... 
-#> ... Defining time bins given 'delta_t'... 
-#> ... Making detection matrix... 
-#> ... flapper::make_matrix_detections() call completed (@ 2022-06-17 10:06:38) after ~0 minutes. 
    summary(mat_by_id)
-
    #>    Length Class Mode   
-#> 25 206505 table numeric
-#> 28 206505 table numeric
-#> 35 206505 table numeric
    range(mat_by_id[[1]])
-
    #> [1]  0 60
    
-#### Example (2) Construct matrix across all receivers and use set_outside
-dat_moorings$receiver_id <- factor(dat_moorings$receiver_id)
-dat_acoustics$receiver_id <- factor(dat_acoustics$receiver_id,
-                                    levels = levels(dat_moorings$receiver_id))
-match_index <- match(dat_acoustics$individual_id, dat_ids$individual_id)
-dat_acoustics$tag_start_date <- dat_ids$tag_start_date[match_index]
-dat_acoustics$tag_end_date   <- as.Date("2017-06-02")
-mat_by_id <- make_matrix_detections(dat_acoustics,
-                                    moorings = dat_moorings,
-                                    set_outside = NA)
-
    #> flapper::make_matrix_detections() called (@ 2022-06-17 10:06:38)... 
-#> ... Checking user inputs... 
    #> Warning: Argument 'acoustics$tag_start_date' coerced to class 'POSIXct' from class(es): 'Date'.
    #> Warning: Argument 'acoustics$tag_end_date' coerced to class 'POSIXct' from class(es): 'Date'.
    #> Warning: Argument 'moorings$receiver_start_date' coerced to class 'POSIXct' from class(es): 'Date'.
    #> Warning: Argument 'moorings$receiver_end_date' coerced to class 'POSIXct' from class(es): 'Date'.
    #> ... Defining time bins given 'delta_t'... 
-#> ... Making receiver matrix... 
-#> ... Making detection matrix... 
-#> ... flapper::make_matrix_detections() call completed (@ 2022-06-17 10:06:38) after ~0 minutes. 
    summary(mat_by_id)
-
    #>    Length Class Mode   
-#> 25 211800 table numeric
-#> 28 211800 table numeric
-#> 35 211800 table numeric
    
-
    +
    +

    Examples

    + 
    #### Example (1) Construct matrix from detected individuals using detection time series
+dat_acoustics$receiver_id <- factor(dat_acoustics$receiver_id)
+mat_by_id <- make_matrix_detections(dat_acoustics)
+#> flapper::make_matrix_detections() called (@ 2023-02-19 15:02:26)... 
+#> ... Checking user inputs... 
+#> ... Defining time bins given 'delta_t'... 
+#> ... Making detection matrix... 
+#> ... flapper::make_matrix_detections() call completed (@ 2023-02-19 15:02:26) after ~0 minutes. 
+summary(mat_by_id)
+#>    Length Class Mode   
+#> 25 206505 table numeric
+#> 28 206505 table numeric
+#> 35 206505 table numeric
+range(mat_by_id[[1]])
+#> [1]  0 60
+
+#### Example (2) Construct matrix across all receivers and use set_outside
+dat_moorings$receiver_id <- factor(dat_moorings$receiver_id)
+dat_acoustics$receiver_id <- factor(dat_acoustics$receiver_id,
+                                    levels = levels(dat_moorings$receiver_id))
+match_index <- match(dat_acoustics$individual_id, dat_ids$individual_id)
+dat_acoustics$tag_start_date <- dat_ids$tag_start_date[match_index]
+dat_acoustics$tag_end_date   <- as.Date("2017-06-02")
+mat_by_id <- make_matrix_detections(dat_acoustics,
+                                    moorings = dat_moorings,
+                                    set_outside = NA)
+#> flapper::make_matrix_detections() called (@ 2023-02-19 15:02:26)... 
+#> ... Checking user inputs... 
+#> Warning: Argument 'acoustics$tag_start_date' coerced to class 'POSIXct' from class(es): 'Date'.
+#> Warning: Argument 'acoustics$tag_end_date' coerced to class 'POSIXct' from class(es): 'Date'.
+#> Warning: Argument 'moorings$receiver_start_date' coerced to class 'POSIXct' from class(es): 'Date'.
+#> Warning: Argument 'moorings$receiver_end_date' coerced to class 'POSIXct' from class(es): 'Date'.
+#> ... Defining time bins given 'delta_t'... 
+#> ... Making receiver matrix... 
+#> ... Making detection matrix... 
+#> ... flapper::make_matrix_detections() call completed (@ 2023-02-19 15:02:27) after ~0 minutes. 
+summary(mat_by_id)
+#>    Length Class Mode   
+#> 25 211800 table numeric
+#> 28 211800 table numeric
+#> 35 211800 table numeric
+
+
    +
    +
    - - - + + diff --git a/docs/reference/make_matrix_ids.html b/docs/reference/make_matrix_ids.html index 35e5ce4..1f51905 100644 --- a/docs/reference/make_matrix_ids.html +++ b/docs/reference/make_matrix_ids.html @@ -1,67 +1,12 @@ - - - - - - - -Matricise individual deployment time series — make_matrix_ids • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Matricise individual deployment time series — make_matrix_ids • flapper - - + + - - -
    -
    - -
    - -
    +

    Matricise individual deployment time series

    - Source: R/make_matrices.R + Source: R/make_matrices.R
    @@ -123,85 +65,88 @@

    Matricise individual deployment time series

    This function creates a matrix that, for each time step (matrix row) in a sequence of user-defined times, defines whether or not each individual (matrix column) was at liberty. To implement the function, a dataframe with individual IDs and deployment start and end times must be supplied (via ids). The times for which to express whether or not each individual was at liberty are provided by optionally defining a start and end date (these can be taken from the range of deployment times in ids if unspecified) and the interval (delta_t) between time steps.

    - 
    make_matrix_ids(
-  ids,
-  start = NULL,
-  end = NULL,
-  delta_t = "120 mins",
-  as_POSIXct = as.POSIXct,
-  set_names = TRUE
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - -
    ids

    A dataframe that defines individual IDs and deployment times. This must contain the following columns: an identifier for individuals (named `individual_id'), the start time of individuals' deployment periods (`tag_start_date') and the end time of individuals' deployment periods (`tag_end_date'). Deployment times can be recorded as Date or POSIXct objects but, if the former is provided, they need to be coerced to POSIXct objects. This can be done automatically (see as_POSIXct).

    start, end

    Date or POSIXct objects that define the start and end time. If unspecified, these are taken from the range of deployment times in ids.

    delta_t

    A number or character that defines the time interval between successive time steps. This is passed to the `by' argument of seq.POSIXt.

    as_POSIXct

    A function that coerces any supplied times (ids$tag_start_date, ids$tag_end_date, start and end) that are not POSIXct objects to POSIXct objects.

    set_names

    A logical variable that defines whether or not to set the row and column names of the matrix to the time steps and the individual IDs respectively.

    - -

    Value

    - -

    The function returns a matrix with one row for each time step and one column for each individual. Each cell defines whether (1) or not (0) each individual was at liberty during that time step.

    -

    Author

    +
    + 
    make_matrix_ids(
+  ids,
+  start = NULL,
+  end = NULL,
+  delta_t = "120 mins",
+  as_POSIXct = as.POSIXct,
+  set_names = TRUE
+)
    +
    + +
    +

    Arguments

    +
    ids
    +

    A dataframe that defines individual IDs and deployment times. This must contain the following columns: an identifier for individuals (named `individual_id'), the start time of individuals' deployment periods (`tag_start_date') and the end time of individuals' deployment periods (`tag_end_date'). Deployment times can be recorded as Date or POSIXct objects but, if the former is provided, they need to be coerced to POSIXct objects. This can be done automatically (see as_POSIXct).

    + + +
    start, end
    +

    Date or POSIXct objects that define the start and end time. If unspecified, these are taken from the range of deployment times in ids.

    + +
    delta_t
    +

    A number or character that defines the time interval between successive time steps. This is passed to the `by' argument of seq.POSIXt.

    + + +
    as_POSIXct
    +

    A function that coerces any supplied times (ids$tag_start_date, ids$tag_end_date, start and end) that are not POSIXct objects to POSIXct objects.

    + + +
    set_names
    +

    A logical variable that defines whether or not to set the row and column names of the matrix to the time steps and the individual IDs respectively.

    + +
    +
    +

    Value

    + + +

    The function returns a matrix with one row for each time step and one column for each individual. Each cell defines whether (1) or not (0) each individual was at liberty during that time step.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    dat_ids$tag_end_date <- as.Date("2017-06-02")
-mat_hours <- make_matrix_ids(dat_ids, delta_t = "hours")
-mat_days  <- make_matrix_ids(dat_ids, delta_t = "days")
-utils::str(mat_hours)
-
    #>  num [1:10849, 1:33] 1 1 1 1 1 1 1 1 1 1 ...
-#>  - attr(*, "dimnames")=List of 2
-#>   ..$ : chr [1:10849] "2016-03-07 00:00:00" "2016-03-07 01:00:00" "2016-03-07 02:00:00" "2016-03-07 03:00:00" ...
-#>   ..$ : chr [1:33] "8" "9" "10" "13" ...
    utils::str(mat_days)
-
    #>  num [1:453, 1:33] 1 1 1 1 1 1 1 1 1 1 ...
-#>  - attr(*, "dimnames")=List of 2
-#>   ..$ : chr [1:453] "2016-03-07 00:00:00" "2016-03-08 00:00:00" "2016-03-09 00:00:00" "2016-03-10 00:00:00" ...
-#>   ..$ : chr [1:33] "8" "9" "10" "13" ...
    +
    +

    Examples

    + 
    dat_ids$tag_end_date <- as.Date("2017-06-02")
+mat_hours <- make_matrix_ids(dat_ids, delta_t = "hours")
+mat_days  <- make_matrix_ids(dat_ids, delta_t = "days")
+utils::str(mat_hours)
+#>  num [1:10849, 1:33] 1 1 1 1 1 1 1 1 1 1 ...
+#>  - attr(*, "dimnames")=List of 2
+#>   ..$ : chr [1:10849] "2016-03-07 01:00:00" "2016-03-07 02:00:00" "2016-03-07 03:00:00" "2016-03-07 04:00:00" ...
+#>   ..$ : chr [1:33] "8" "9" "10" "13" ...
+utils::str(mat_days)
+#>  num [1:453, 1:33] 1 1 1 1 1 1 1 1 1 1 ...
+#>  - attr(*, "dimnames")=List of 2
+#>   ..$ : chr [1:453] "2016-03-07 01:00:00" "2016-03-08 01:00:00" "2016-03-09 01:00:00" "2016-03-10 01:00:00" ...
+#>   ..$ : chr [1:33] "8" "9" "10" "13" ...
+
    +
    +
    - - - + + diff --git a/docs/reference/make_matrix_receivers.html b/docs/reference/make_matrix_receivers.html index f97a424..e07d39c 100644 --- a/docs/reference/make_matrix_receivers.html +++ b/docs/reference/make_matrix_receivers.html @@ -1,67 +1,12 @@ - - - - - - - -Matricise receiver deployment time series — make_matrix_receivers • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Matricise receiver deployment time series — make_matrix_receivers • flapper - - + + - - -
    -
    - -
    - -
    +

    Matricise receiver deployment time series

    - Source: R/make_matrices.R + Source: R/make_matrices.R
    @@ -123,157 +65,162 @@

    Matricise receiver deployment time series

    This function creates a matrix that, for each time step (matrix row) in a sequence of user-defined times, defines whether or not each receiver (matrix column) was active. To implement the function, a dataframe with receiver IDs and deployment start and end times must be supplied (via moorings). Servicing dates can also be accounted for via a dataframe with receiver IDs and servicing times (services). The times for which to express whether or not each receiver was active are provided by optionally defining a start and end date (these can be taken from the range of deployment times in moorings if unspecified) and the interval (delta_t) between time steps.

    - 
    make_matrix_receivers(
-  moorings,
-  services = NULL,
-  start = NULL,
-  end = NULL,
-  delta_t = "120 mins",
-  as_POSIXct = as.POSIXct,
-  set_names = TRUE
-)
    +
    + 
    make_matrix_receivers(
+  moorings,
+  services = NULL,
+  start = NULL,
+  end = NULL,
+  delta_t = "120 mins",
+  as_POSIXct = as.POSIXct,
+  set_names = TRUE
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - -
    moorings

    A dataframe that defines receiver IDs and deployment times. This must contain the following columns: an identifier for receivers (named `receiver_id'), the start time of receiver' deployment periods (`receiver_start_date') and the end time of receivers' deployment periods (`receiver_end_date') (see dat_moorings for an example). Deployment times can be recorded as Date or POSIXct objects.

    services

    (optional) A dataframe that defines receiver IDs and servicing dates (times during the deployment period of a receiver when it was not active due to servicing). If provided, this must contain the following columns: an identifier for serviced receivers (named `receiver_id') and two columns that define the time of the service(s) (`service_start_date' and `service_end_date'). Times can be recorded as Date or POSIXct objects. Before/after service events, receivers are assumed to have been deployed in the same locations; receiver deployments in different locations before/after servicing should be treated as distinct deployments in moorings.

    start, end

    Date or POSIXct objects that define the start and end time. If unspecified, these are taken from the range of deployment times in moorings.

    delta_t

    A number or character that defines the time interval between successive time steps. This is passed to the `by' argument of seq.POSIXt or seq.Date (depending on as_POSIXct, below).

    as_POSIXct

    (optional) A function that coerces supplied any supplied times (moorings$receiver_start_date, moorings$receiver_end_date, services$service_start_date, services$service_end_date, start and end) that are not POSIXct objects to POSIXct objects. This can be suppressed via as_POSIXct = NULL if supplied times are Date objects and delta_t is not less than one day.

    set_names

    A logical variable that defines whether or not to set the row and column names of the matrix to the time steps and the receiver IDs respectively.

    +
    +

    Arguments

    +
    moorings
    +

    A dataframe that defines receiver IDs and deployment times. This must contain the following columns: an identifier for receivers (named `receiver_id'), the start time of receiver' deployment periods (`receiver_start_date') and the end time of receivers' deployment periods (`receiver_end_date') (see dat_moorings for an example). Deployment times can be recorded as Date or POSIXct objects.

    -

    Value

    -

    The function returns a matrix with one row for each time step and one column for each receiver. Each cell defines whether (1) or not (0) each receiver was at active during that time step. A `bins' attribute is included, which defines the time steps as a Date or POSIXct vector.

    -

    Author

    +
    services
    +

    (optional) A dataframe that defines receiver IDs and servicing dates (times during the deployment period of a receiver when it was not active due to servicing). If provided, this must contain the following columns: an identifier for serviced receivers (named `receiver_id') and two columns that define the time of the service(s) (`service_start_date' and `service_end_date'). Times can be recorded as Date or POSIXct objects. Before/after service events, receivers are assumed to have been deployed in the same locations; receiver deployments in different locations before/after servicing should be treated as distinct deployments in moorings.

    -

    Edward Lavender

    -

    Examples

    - 
    #### Example (1): Illustration using fake data
+
    start, end
    
+
    Date or POSIXct objects that define the start and end time. If unspecified, these are taken from the range of deployment times in moorings.
    
+
 
-## Define some example 'moorings' data
-# ... with receiver IDs and deployment times
-moorings <- data.frame(receiver_id = c(1, 2, 3, 4, 5),
-                       receiver_start_date = as.Date(c("2016-01-01",
-                                                       "2016-01-02",
-                                                       "2016-01-03",
-                                                       "2016-01-04",
-                                                       "2016-01-05")),
-                       receiver_end_date = as.Date(c("2016-01-06",
-                                                     "2016-01-07",
-                                                     "2016-01-08",
-                                                     "2016-01-09",
-                                                     "2016-01-09"))
-                       )
+
    delta_t
    
+
    A number or character that defines the time interval between successive time steps. This is passed to the `by' argument of seq.POSIXt or seq.Date (depending on as_POSIXct, below).
    
 
-## Define some example 'servicing' data
-# ... with receiver IDs and servicing times
-# ... Here, receiver 1 was serviced twice
-# ... ... from 2016-01-02--3 and 2016-01-04--5
-# ... and receiver 5 was serviced
-# ... ... on 2016-01-08.
-services <- data.frame(receiver_id = c(1, 1, 5),
-                       service_start_date = as.Date(c("2016-01-02",
-                                                      "2016-01-04",
-                                                      "2016-01-08")),
-                       service_end_date = as.Date(c("2016-01-03",
-                                                    "2016-01-05",
-                                                    "2016-01-08"))
-                       )
 
-## Get daily receiver status (0, 1) matrix
-make_matrix_receivers(moorings, delta_t = "days", as_POSIXct = NULL)
-
    #>            1 2 3 4 5
-#> 2016-01-01 1 0 0 0 0
-#> 2016-01-02 1 1 0 0 0
-#> 2016-01-03 1 1 1 0 0
-#> 2016-01-04 1 1 1 1 0
-#> 2016-01-05 1 1 1 1 1
-#> 2016-01-06 1 1 1 1 1
-#> 2016-01-07 0 1 1 1 1
-#> 2016-01-08 0 0 1 1 1
-#> 2016-01-09 0 0 0 1 1
-#> attr(,"bins")
-#> [1] "2016-01-01" "2016-01-02" "2016-01-03" "2016-01-04" "2016-01-05"
-#> [6] "2016-01-06" "2016-01-07" "2016-01-08" "2016-01-09"
    
-## Get daily receiver status (0, 1) matrix
-# ... accounting for servicing dates
-make_matrix_receivers(moorings, services, delta_t = "days", as_POSIXct = NULL)
-
    #>            1 2 3 4 5
-#> 2016-01-01 1 0 0 0 0
-#> 2016-01-02 0 1 0 0 0
-#> 2016-01-03 0 1 1 0 0
-#> 2016-01-04 0 1 1 1 0
-#> 2016-01-05 0 1 1 1 1
-#> 2016-01-06 1 1 1 1 1
-#> 2016-01-07 0 1 1 1 1
-#> 2016-01-08 0 0 1 1 0
-#> 2016-01-09 0 0 0 1 1
-#> attr(,"bins")
-#> [1] "2016-01-01" "2016-01-02" "2016-01-03" "2016-01-04" "2016-01-05"
-#> [6] "2016-01-06" "2016-01-07" "2016-01-08" "2016-01-09"
    
-#### Example (2): Illustration using actual data
-# ... for different time windows
-mat_days  <- make_matrix_receivers(dat_moorings, delta_t = "days", as_POSIXct = NULL)
-mat_hours <- make_matrix_receivers(dat_moorings, delta_t = "hours")
-utils::str(mat_days)
-
    #>  num [1:508, 1:40] 1 1 1 1 1 1 1 1 1 1 ...
-#>  - attr(*, "bins")= Date[1:508], format: "2016-03-03" "2016-03-04" ...
-#>  - attr(*, "dimnames")=List of 2
-#>   ..$ : chr [1:508] "2016-03-03" "2016-03-04" "2016-03-05" "2016-03-06" ...
-#>   ..$ : chr [1:40] "3" "4" "7" "9" ...
    utils::str(mat_hours)
-
    #>  num [1:12169, 1:40] 1 1 1 1 1 1 1 1 1 1 ...
-#>  - attr(*, "bins")= POSIXct[1:12169], format: "2016-03-03 00:00:00" "2016-03-03 01:00:00" ...
-#>  - attr(*, "dimnames")=List of 2
-#>   ..$ : chr [1:12169] "2016-03-03 00:00:00" "2016-03-03 01:00:00" "2016-03-03 02:00:00" "2016-03-03 03:00:00" ...
-#>   ..$ : chr [1:40] "3" "4" "7" "9" ...
    
-
    +
    as_POSIXct
    +

    (optional) A function that coerces supplied any supplied times (moorings$receiver_start_date, moorings$receiver_end_date, services$service_start_date, services$service_end_date, start and end) that are not POSIXct objects to POSIXct objects. This can be suppressed via as_POSIXct = NULL if supplied times are Date objects and delta_t is not less than one day.

    + + +
    set_names
    +

    A logical variable that defines whether or not to set the row and column names of the matrix to the time steps and the receiver IDs respectively.

    + +
    +
    +

    Value

    + + +

    The function returns a matrix with one row for each time step and one column for each receiver. Each cell defines whether (1) or not (0) each receiver was at active during that time step. A `bins' attribute is included, which defines the time steps as a Date or POSIXct vector.

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    + +
    +

    Examples

    + 
    #### Example (1): Illustration using fake data
+
+## Define some example 'moorings' data
+# ... with receiver IDs and deployment times
+moorings <- data.frame(receiver_id = c(1, 2, 3, 4, 5),
+                       receiver_start_date = as.Date(c("2016-01-01",
+                                                       "2016-01-02",
+                                                       "2016-01-03",
+                                                       "2016-01-04",
+                                                       "2016-01-05")),
+                       receiver_end_date = as.Date(c("2016-01-06",
+                                                     "2016-01-07",
+                                                     "2016-01-08",
+                                                     "2016-01-09",
+                                                     "2016-01-09"))
+                       )
+
+## Define some example 'servicing' data
+# ... with receiver IDs and servicing times
+# ... Here, receiver 1 was serviced twice
+# ... ... from 2016-01-02--3 and 2016-01-04--5
+# ... and receiver 5 was serviced
+# ... ... on 2016-01-08.
+services <- data.frame(receiver_id = c(1, 1, 5),
+                       service_start_date = as.Date(c("2016-01-02",
+                                                      "2016-01-04",
+                                                      "2016-01-08")),
+                       service_end_date = as.Date(c("2016-01-03",
+                                                    "2016-01-05",
+                                                    "2016-01-08"))
+                       )
+
+## Get daily receiver status (0, 1) matrix
+make_matrix_receivers(moorings, delta_t = "days", as_POSIXct = NULL)
+#>            1 2 3 4 5
+#> 2016-01-01 1 0 0 0 0
+#> 2016-01-02 1 1 0 0 0
+#> 2016-01-03 1 1 1 0 0
+#> 2016-01-04 1 1 1 1 0
+#> 2016-01-05 1 1 1 1 1
+#> 2016-01-06 1 1 1 1 1
+#> 2016-01-07 0 1 1 1 1
+#> 2016-01-08 0 0 1 1 1
+#> 2016-01-09 0 0 0 1 1
+#> attr(,"bins")
+#> [1] "2016-01-01" "2016-01-02" "2016-01-03" "2016-01-04" "2016-01-05"
+#> [6] "2016-01-06" "2016-01-07" "2016-01-08" "2016-01-09"
+
+## Get daily receiver status (0, 1) matrix
+# ... accounting for servicing dates
+make_matrix_receivers(moorings, services, delta_t = "days", as_POSIXct = NULL)
+#>            1 2 3 4 5
+#> 2016-01-01 1 0 0 0 0
+#> 2016-01-02 0 1 0 0 0
+#> 2016-01-03 0 1 1 0 0
+#> 2016-01-04 0 1 1 1 0
+#> 2016-01-05 0 1 1 1 1
+#> 2016-01-06 1 1 1 1 1
+#> 2016-01-07 0 1 1 1 1
+#> 2016-01-08 0 0 1 1 0
+#> 2016-01-09 0 0 0 1 1
+#> attr(,"bins")
+#> [1] "2016-01-01" "2016-01-02" "2016-01-03" "2016-01-04" "2016-01-05"
+#> [6] "2016-01-06" "2016-01-07" "2016-01-08" "2016-01-09"
+
+#### Example (2): Illustration using actual data
+# ... for different time windows
+mat_days  <- make_matrix_receivers(dat_moorings, delta_t = "days", as_POSIXct = NULL)
+mat_hours <- make_matrix_receivers(dat_moorings, delta_t = "hours")
+utils::str(mat_days)
+#>  num [1:508, 1:40] 1 1 1 1 1 1 1 1 1 1 ...
+#>  - attr(*, "bins")= Date[1:508], format: "2016-03-03" "2016-03-04" ...
+#>  - attr(*, "dimnames")=List of 2
+#>   ..$ : chr [1:508] "2016-03-03" "2016-03-04" "2016-03-05" "2016-03-06" ...
+#>   ..$ : chr [1:40] "3" "4" "7" "9" ...
+utils::str(mat_hours)
+#>  num [1:12169, 1:40] 1 1 1 1 1 1 1 1 1 1 ...
+#>  - attr(*, "bins")= POSIXct[1:12169], format: "2016-03-03 01:00:00" "2016-03-03 02:00:00" ...
+#>  - attr(*, "dimnames")=List of 2
+#>   ..$ : chr [1:12169] "2016-03-03 01:00:00" "2016-03-03 02:00:00" "2016-03-03 03:00:00" "2016-03-03 04:00:00" ...
+#>   ..$ : chr [1:40] "3" "4" "7" "9" ...
+
+
    +
    +
    - - - + + diff --git a/docs/reference/mask_io-1.png b/docs/reference/mask_io-1.png index 0e9c268..ef6ab9f 100644 Binary files a/docs/reference/mask_io-1.png and b/docs/reference/mask_io-1.png differ diff --git a/docs/reference/mask_io-2.png b/docs/reference/mask_io-2.png index b6e4deb..2de3442 100644 Binary files a/docs/reference/mask_io-2.png and b/docs/reference/mask_io-2.png differ diff --git a/docs/reference/mask_io-3.png b/docs/reference/mask_io-3.png index 91dc724..3146e36 100644 Binary files a/docs/reference/mask_io-3.png and b/docs/reference/mask_io-3.png differ diff --git a/docs/reference/mask_io-4.png b/docs/reference/mask_io-4.png index 91dc724..3146e36 100644 Binary files a/docs/reference/mask_io-4.png and b/docs/reference/mask_io-4.png differ diff --git a/docs/reference/mask_io.html b/docs/reference/mask_io.html index e17edf5..91108d1 100644 --- a/docs/reference/mask_io.html +++ b/docs/reference/mask_io.html @@ -1,67 +1,12 @@ - - - - - - - -Implement mask using the inside or outside of the mask — mask_io • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Implement mask using the inside or outside of the mask — mask_io • flapper - - + + - - -
    -
    - -
    - -
    +
    -

    Implement mask using the inside or outside of the mask

    - Source: R/spatial_tools.R +

    Implement mask using the inside or outside of the mask

    + Source: R/spatial_tools.R
    -

    This function implements mask using the inside or the outside of the mask. The function is implemented in the same way as mask but with an additional logical argument, mask_inside. If mask_inside = FALSE (the default), values beyond the mask are masked and the function simply implements mask. In contrast, if mask_inside = TRUE, values within the mask are masked.

    +

    This function implements mask using the inside or the outside of the mask. The function is implemented in the same way as mask but with an additional logical argument, mask_inside. If mask_inside = FALSE (the default), values beyond the mask are masked and the function simply implements mask. In contrast, if mask_inside = TRUE, values within the mask are masked.

    +
    + +
    + 
    mask_io(x, mask, mask_inside = FALSE, ...)
    - 
    mask_io(x, mask, mask_inside = FALSE, ...)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - -
    x

    A Raster* (see mask).

    mask

    A mask of class SpatialPolygonsDataFrame-class.

    mask_inside

    A logical variable that defines whether or not to mask values in x outside (FALSE) or inside (TRUE) of the mask.

    ...

    Additional arguments passed to mask.

    - -

    Value

    - -

    The function returns a Raster* object in which values outside or inside of a supplied SpatialPolygonsDataFrame-class object have been masked.

    -

    Details

    +
    +

    Arguments

    +
    x
    +

    A Raster* (see mask).

    -

    This function was motivated by animal movement datasets from coastal environments. For example, consider the cost of movement over a surface between two points for an exclusively benthic marine animal versus an exclusively terrestrial animal. With a mask that represents the coastline, for the exclusively marine animal, it is necessary to mask values inside the coastline (i.e., on land), so mask_inside = TRUE, to prevent movement on land; while for a terrestrial animal, it is necessary to mask values beyond the coastline (i.e., in the sea), so mask_inside = FALSE, to prevent movement into the sea.

    -

    Author

    +
    mask
    +

    A mask of class SpatialPolygonsDataFrame-class.

    + + +
    mask_inside
    +

    A logical variable that defines whether or not to mask values in x outside (FALSE) or inside (TRUE) of the mask.

    + + +
    ...
    +

    Additional arguments passed to mask.

    + +
    +
    +

    Value

    + + +

    The function returns a Raster* object in which values outside or inside of a supplied SpatialPolygonsDataFrame-class object have been masked.

    +
    +
    +

    Details

    +

    This function was motivated by animal movement datasets from coastal environments. For example, consider the cost of movement over a surface between two points for an exclusively benthic marine animal versus an exclusively terrestrial animal. With a mask that represents the coastline, for the exclusively marine animal, it is necessary to mask values inside the coastline (i.e., on land), so mask_inside = TRUE, to prevent movement on land; while for a terrestrial animal, it is necessary to mask values beyond the coastline (i.e., in the sea), so mask_inside = FALSE, to prevent movement into the sea.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Define an example raster
-# We will use some bathymetry data from around Oban
-# ... which we will mask using some coastline data. All values on land
-# ... are currently NA so we'll set these to 10 m for demonstration purposes.
-dat_gebco[is.na(dat_gebco[])] <- 10
-dat_gebco <- raster::crop(dat_gebco, raster::extent(dat_coast))
-
    #> Error in .local(x, y, ...): extents do not overlap
    raster::plot(dat_gebco)
-
    
-#### Standard implementation with mask_inside = FALSE simply implements raster::mask()
-m <- mask_io(dat_gebco, dat_coast)
-raster::plot(dat_coast)
-
    raster::plot(m, add = TRUE)
-
    
-#### Implementation with mask_inside = TRUE implements the mask within the coastline
-m <- mask_io(dat_gebco, dat_coast, mask_inside = TRUE)
-
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    raster::plot(dat_coast)
-
    raster::plot(m, add = TRUE)
-
    
-#### Additional arguments to raster::mask() can be passed via ... as usual
-m <- mask_io(dat_gebco, dat_coast, mask_inside = TRUE, updatevalue = 1e5)
-
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    raster::plot(dat_coast)
-
    raster::plot(m, add = TRUE)
-
    
-
    +
    +

    Examples

    + 
    #### Define an example raster
+# We will use some bathymetry data from around Oban
+# ... which we will mask using some coastline data. All values on land
+# ... are currently NA so we'll set these to 10 m for demonstration purposes.
+dat_gebco[is.na(dat_gebco[])] <- 10
+dat_gebco <- raster::crop(dat_gebco, raster::extent(dat_coast))
+#> Error in .local(x, y, ...): extents do not overlap
+raster::plot(dat_gebco)
+
+
+#### Standard implementation with mask_inside = FALSE simply implements raster::mask()
+m <- mask_io(dat_gebco, dat_coast)
+raster::plot(dat_coast)
+raster::plot(m, add = TRUE)
+
+
+#### Implementation with mask_inside = TRUE implements the mask within the coastline
+m <- mask_io(dat_gebco, dat_coast, mask_inside = TRUE)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+raster::plot(dat_coast)
+raster::plot(m, add = TRUE)
+
+
+#### Additional arguments to raster::mask() can be passed via ... as usual
+m <- mask_io(dat_gebco, dat_coast, mask_inside = TRUE, updatevalue = 1e5)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+raster::plot(dat_coast)
+raster::plot(m, add = TRUE)
+
+
+
    +
    +
    -
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    -
    - -
    - -
    +

    The particle filtering routine

    - Source: R/pf.R + Source: R/pf.R
    -

    This function implements a simulation-based particle filtering process for the reconstruction of animal movement paths. This extends the AC, DC and ACDC algorithms in flapper (ac, dc and acdc), which determine the possible locations of an individual through time based on acoustic detections and/or depth contours, by the incorporation of a movement model that connects a subset of the animal's possible locations between time steps into movement paths.

    -

    To implement this approach, a list of raster layers that record the possible locations of the individual at each time step (or a list pointers to these layers) needs to be supplied. A starting location (origin) can be supplied to constrain the initial set of sampled locations of the individual. At each time step, n possible locations (`particles') are sampled (with replacement) from the set of possible locations. For each (1:n) particle, a movement model is used to simulate where the individual could have moved to at the next time step, if it was in any of those locations. In the current framework, the probability of movement into surrounding cells depends on the distance to those cells, which can be represented as using Euclidean or least-cost distances depending on the distance method (calc_distance), and user-defined movement models (calc_movement_pr_from_origin and calc_movement_pr) that link distances to movement probabilities at each time step.

    -

    At each subsequent time step, this process repeats, with n possible locations of the individual sampled according to the probability that the individual could have been in that cell, given a previously sampled location and the set of possible locations at the next time step. The result is a set of locations at each time step that are consistent with the data and model parameters. Sampled locations can be connected into movement paths via pf_simplify.

    +

    This function implements a simulation-based particle filtering process for the reconstruction of animal movement paths. This extends the AC, DC and ACDC algorithms in flapper (ac, dc and acdc), which determine the possible locations of an individual through time based on acoustic detections and/or depth contours, by the incorporation of a movement model that connects a subset of the animal's possible locations between time steps into movement paths.

    +

    To implement this approach, a list of raster layers that record the possible locations of the individual at each time step (or a list pointers to these layers) needs to be supplied. A starting location (origin) can be supplied to constrain the initial set of sampled locations of the individual. At each time step, n possible locations (`particles') are sampled (with replacement) from the set of possible locations. For each (1:n) particle, a movement model is used to simulate where the individual could have moved to at the next time step, if it was in any of those locations. In the current framework, the probability of movement into surrounding cells depends on the distance to those cells, which can be represented as using Euclidean or least-cost distances depending on the distance method (calc_distance), and user-defined movement models (calc_movement_pr_from_origin and calc_movement_pr) that link distances to movement probabilities at each time step.

    +

    At each subsequent time step, this process repeats, with n possible locations of the individual sampled according to the probability that the individual could have been in that cell, given a previously sampled location and the set of possible locations at the next time step. The result is a set of locations at each time step that are consistent with the data and model parameters. Sampled locations can be connected into movement paths via pf_simplify.

    - 
    pf(
-  record,
-  data = NULL,
-  origin = NULL,
-  calc_distance = c("euclid", "lcp"),
-  calc_distance_euclid_fast = TRUE,
-  bathy = NULL,
-  calc_distance_graph = NULL,
-  calc_movement_pr = pf_setup_movement_pr,
-  calc_movement_pr_from_origin = calc_movement_pr,
-  mobility = NULL,
-  mobility_from_origin = mobility,
-  n = 10L,
-  resample = NULL,
-  update_history = NULL,
-  update_history_from_time_step = 1L,
-  write_history = NULL,
-  cl = NULL,
-  use_all_cores = FALSE,
-  seed = NULL,
-  verbose = TRUE,
-  con = "",
-  optimisers = pf_setup_optimisers()
-)
    +
    + 
    pf(
+  record,
+  data = NULL,
+  origin = NULL,
+  calc_distance = c("euclid", "lcp"),
+  calc_distance_euclid_fast = TRUE,
+  bathy = NULL,
+  calc_distance_graph = NULL,
+  calc_movement_pr = pf_setup_movement_pr,
+  calc_movement_pr_from_origin = calc_movement_pr,
+  mobility = NULL,
+  mobility_from_origin = mobility,
+  n = 10L,
+  resample = NULL,
+  update_history = NULL,
+  update_history_from_time_step = 1L,
+  write_history = NULL,
+  cl = NULL,
+  use_all_cores = FALSE,
+  seed = NULL,
+  verbose = TRUE,
+  con = "",
+  optimisers = pf_setup_optimisers()
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    record

    A list of raster layers, or a named list of source files that can be sequentially loaded with writeRaster, that define the set of possible locations of the individual at each time step. This can be derived from the `record' elements in ac, dc or acdc. As in these algorithms, for each raster, the coordinate reference system should be the Universal Transverse Mercator projection. Raster resolution needs to be sufficiently high such that an individual could transition between cells in the time steps between sequential layers (see calc_movement_pr). If the `shortest distances' method is used for distance calculations (i.e., calc_distance = "lcp", see below), then the resolution of the surface in x and y directions should also be equal (for surface's with unequal horizontal resolution, resample can be used to equalise resolution: see lcp_over_surface). For computational efficiency, it is beneficial if inputs are cropped to the smallest possible area, with any areas in which movement is impossible (e.g., on land for benthic animals) set to NA (see crop, mask and the processing implemented by lcp_over_surface). It may also be desirable to aggregate high-resolution rasters (see process_surface).

    data

    (optional) A dataframe, with one row for each time step (i.e. element in record), and columns for any time-specific variables included in the movement models (see calc_movement_pr and calc_movement_pr_from_origin). If unsupplied, movement probabilities are constant through time.

    origin

    (optional) A matrix that defines the coordinates (x, y) of the individual's initial location. Coordinates should follow the restrictions for record and lie on a plane (i.e., Universal Transverse Mercator projection).

    calc_distance

    A character that defines the method used to calculate distances between a point (i.e., a sampled location) and the surrounding cells. This drives the probability of movement into those cells via a movement model (see calc_movement_pr and calc_movement_pr_from_origin). Currently supported options are Euclidean distances ("euclid") or shortest (least-cost) distances ("lcp"), which represent the shortest distance that an individual would have to move over the surface (bathy, see below) to traverse between locations (accounting for both planar and vertical distances). Note that this option requires that resolution of bathy in the x and y directions is equal. At small spatial scales, this option provides more realistic distances in hilly landscapes, but it is more computationally expensive. At larger scales, horizontal distances tend to overwhelm vertical distances, so Euclidean distances may be acceptable. A pragmatic option is to implement the algorithm (possibly for a subset of the record time series) using the Euclidean distances method and then interpolate least-cost paths between (a) the subset of sampled locations returned by this approach via pf_simplify or (b) (b) the subset of paths returned by pf_simplify via lcp_interp. This two-step approach will demonstrate whether sequential positions are plausible (i.e., not too far apart) once the bathymetry is taken into account. If so, the shortest-distances derived using this method can be used for post-hoc adjustment of movement probabilities. Alternatively, this approach may demonstrate that the algorithm should be re-implemented using the shortest distances method (see lcp_interp).

    calc_distance_euclid_fast

    If calc_distance = "euclid", calc_distance_euclid_fast is a logical input that defines whether or not to use the `fast' method for distance and probability calculations. Under the `slow' method (calc_distance_euclid_fast = FALSE), at each time step the algorithm iterates over each particle, calculates the distance around that particle to neighbouring cells, converts distances to movement probabilities, combines these with the intrinsic probabilities associated with each cell (assigned by the AC, DC or ACDC algorithm) and samples future locations accordingly. Since each particle is considered in turn, each particle has a `history' that is `remembered', which makes path assembly relatively straightforward. In contrast, the faster implementation considers all particles at the same time: a single distance/movement probability surface is calculated around sampled particles, from which future particles are sampled. This approach really excels as the number of particles increases (see n). The disadvantage is that particles do not `remember' where they have come from and as a result movement path assembly is more involved (see pf_simplify). However, in most cases calc_distance_euclid_fast is probably desirable, since pf_simplify takes care of movement path assembly.

    bathy

    (optional) If calc_distance = "lcp", bathy is raster that defines the bathymetry across the area within which the individual could have moved. bathy must be planar (i.e., Universal Transverse Mercator projection) with units of metres in x, y and z directions (m). The surface's resolution is taken to define the distance between horizontally and vertically connected cells and must be the same in both x and y directions. Any cells with NA values (e.g., due to missing data) are treated as `impossible' to move though by the algorithm (see lcp_over_surface).

    calc_distance_graph

    (optional) If calc_distance = "lcp", calc_distance_graph is a graph object from lcp_graph_surface that defines the distances between connected cells in bathy. This is useful in iterative applications in the same environment, especially for large bathymetry rasters (see bathy) because the calculations of movement costs between adjacent cells and graph construction---both required for the calculation of shortest paths---can be skipped.

    calc_movement_pr

    The movement model. This must be a function that calculates the probability of movement between two locations in the time between sequential records, given the distance between them (the first argument) and (optionally) any other pertinent information in the data for the relevant time step (the second argument). For example, behavioural states could be defined in a column in the data and then included as part of the movement model. Both arguments must be accepted, even if the second is ignored. The default option is a declining logistic curve, designed for flapper skate (Dipturus intermedius), representing a high probability of movement between nearby locations and a lower probability of movement between distant locations (see pf_setup_movement_pr). For computational efficiency, it is beneficial if the probability of movement is set to zero beyond a distance considered to be highly unlikely, because such locations are excluded from subsequent calculations (see pf_setup_movement_pr and the mobility argument, below). Currently, the movement model cannot incorporate the individual's location (for spatially variable fields such as water currents).

    calc_movement_pr_from_origin

    (optional) If an origin is supplied, calc_movement_pr_from_origin can be supplied to define the probability of sampling possible starting locations depending on their distance from the origin. By default, calc_movement_pr_from_origin = calc_movement_pr and the same guidance applies to both arguments. Specifying calc_movement_pr_from_origin specifically may be necessary if the duration between the time at which the origin was observed and the first record differs from the regular interval between subsequent records. This allows the effect of the origin to be weaker or stronger than the effect of locations at later time steps on sampled locations, if necessary.

    mobility

    (optional) A number that defines the maximum horizontal distance (m) that the individual could travel in the time period between sequential raster layers. While this is optional, it is often computationally beneficial to define mobility because this restricts distance and probability calculations at each time step within the smallest appropriate range (rather than across the full surface).

    mobility_from_origin

    (optional) As above for mobility, but for the first time step (i.e., the horizontal movement the individual could have moved from the origin) (see calc_movement_pr_from_origin).

    n

    An integer that defines the number of particles (i.e., the number of locations sampled at each time step from the set of possible locations at that time step).

    resample

    (optional) An integer that defines the minimum number of unique cells that should be sampled, given the movement model (calc_movement_pr or calc_movement_pr_from_origin). If supplied, if fewer than resample unique cells are sampled at a time step, n particles are re-sampled with replacement with equal probability from all of the cells with non-zero probability. This may facilitate algorithm convergence if there are some cells that are overwhelmingly more probable (given the movement model) are `dead ends': re-sampling all possible cells with equal probability allows the algorithm to explore less likely routes more easily when the number of routes becomes low. resample must be less than or equal to n.

    update_history

    (optional) A list that defines particle histories from an earlier implementation of pf (i.e., the `history' element of a pf_archive-class object). If provided, the function attempts to continue paths from an earlier time step (see update_history_from_time_step). This can be useful if the algorithm fails to converge on its initial implementation because the algorithm can be re-started part-way through the time series.

    update_history_from_time_step

    If update_history is provided, update_history_from_time_step is an integer that defines the time step (i.e., element in update_history) from which to restart the algorithm. If provided, the algorithm continues from this point, by taking the starting positions for n particles from update_history[[update_history_from_time_step]]$id_current.

    write_history

    (optional) A named list, passed to saveRDS, to save a dataframe of the sampled particles at each time step to file. The `file' argument should be the directory in which to save files. Files are named by time steps as `pf_1', `pf_2' and so on.

    cl, use_all_cores

    (optional) Parallelisation options. These can be implemented for the approaches that consider particles iteratively (i.e., calc_distance = "euclid" with calc_distance_euclid_fast = FALSE, or calc_distance = "lcp"). The algorithm can be parallelised within time steps over (1) particles via cl (an integer defining the number of child processes (ignored on Windows) or a cluster object created by makeCluster (see pblapply)) or (2) within particles for the calculation of shortest distances (if calc_distance = "lcp") via a logical input (TRUE) to use_all_cores. For calc_distance = "euclid", parallelisation is typically only beneficial for relatively large numbers of particles, because the substantial computation overhead associated with parallelisation across paths at each time step is substantial. For calc_distance = "lcp", use_all_cores = TRUE is typically a better option for parallelisation; however, this may only be beneficial if mobility relatively large. At present, parallelisation is not very effective, especially if a cluster is supplied, and may be slower.

    seed

    (optional) An integer to define the seed for reproducible simulations (see set.seed).

    verbose

    A logical variable that defines whether or not to print messages to the console or to file to relay function progress. If con = "", messages are printed to the console; otherwise, they are written to file (see below).

    con

    If verbose = TRUE, con is character string that defines how messages relaying function progress are returned. If con = "", messages are printed to the console (unless redirected by sink). Otherwise, con defines the full pathway to a .txt file (which can be created on-the-fly) into which messages are written to relay function progress. This approach, rather than printing to the console, is recommended for clarity, speed and debugging.

    optimisers

    A named list of optimisation controls from pf_setup_optimisers.

    +
    +

    Arguments

    +
    record
    +

    A list of raster layers, or a named list of source files that can be sequentially loaded with writeRaster, that define the set of possible locations of the individual at each time step. This can be derived from the `record' elements in ac, dc or acdc. As in these algorithms, for each raster, the coordinate reference system should be the Universal Transverse Mercator projection. Raster resolution needs to be sufficiently high such that an individual could transition between cells in the time steps between sequential layers (see calc_movement_pr). If the `shortest distances' method is used for distance calculations (i.e., calc_distance = "lcp", see below), then the resolution of the surface in x and y directions should also be equal (for surface's with unequal horizontal resolution, resample can be used to equalise resolution: see lcp_over_surface). For computational efficiency, it is beneficial if inputs are cropped to the smallest possible area, with any areas in which movement is impossible (e.g., on land for benthic animals) set to NA (see crop, mask and the processing implemented by lcp_over_surface). It may also be desirable to aggregate high-resolution rasters (see process_surface).

    -

    Value

    -

    The function returns a pf_archive-class object. This is a named list that includes the parameters used to generate function outputs (`args') and the particles sampled at each time step (`history'). The latter can be assembled into a dataframe of movement paths via pf_simplify.

    -

    Details

    +
    data
    +

    (optional) A dataframe, with one row for each time step (i.e. element in record), and columns for any time-specific variables included in the movement models (see calc_movement_pr and calc_movement_pr_from_origin). If unsupplied, movement probabilities are constant through time.

    - -

    Background

    -

    This function implements a widely applicable particle simulation and filtering based approach to refine maps of possible locations of an individual through time via the incorporation of a movement model that facilitates the reconstruction of movement paths. Within flapper, the acoustic-container (AC), depth-contour (DC) and acoustic-container depth-contour (ACDC) algorithms, which define the possible locations of an individual through time based on acoustic containers and/or depth contours, can be passed through a this process, resulting in the DCPF, ACPF and ACDCPF algorithms.

      -

    • ACPF. The ACPF algorithm combines the AC algorithm with particle filtering. This is designed to simulate possible movement paths and emergent patterns of space use in passive acoustic telemetry arrays. This algorithm is widely applicable.

      • -

    • DCPF. The DCPF algorithm combines the DC algorithm with particle filtering. This is designed to simulate possible movement paths of a tagged animal over the seabed, given a regular sequence of depth observations (archival), the bathymetry (bathy) over which movement occurred and a movement model (calc_movement_pr) that specifies the probability of movement from a given location to any other, given the distance between them (and any other pre-defined time-dependent parameters in archival). The function was motivated by small scale applications concerning the reconstruction of possible movement paths of flapper skate (Dipturus intermedius) tagged with archival tags, following capture and release in a given location, for short-periods of time post-release.

      • -

    • ACDCPF. The ACDCPF algorithm combines the ACDC algorithm with particle filtering. For tagged animals with acoustic and archival data, this algorithm is designed to reconstruct fine-scale movement paths and emergent patterns of space use across an area.

      • -
    +
    origin
    +

    (optional) A matrix that defines the coordinates (x, y) of the individual's initial location. Coordinates should follow the restrictions for record and lie on a plane (i.e., Universal Transverse Mercator projection).

    -

    Methods

    -

    At the first time step, n starting points (`particles') are selected from the set of possible locations of the individual. If an origin is specified, this selection can be biased towards cells near the origin by the movement model. From each starting position, the Euclidean or shortest distances to cells in which the individual could have been located at the next time step are calculated and passed to a movement model that assigns movement probabilities to each cell. Since movement probabilities are likely to be behaviourally dependent, the movement model can depend on time step-specific information specified in data. However, currently, the model cannot depend on sampled locations; therefore, at least under some conditions, the movement model will need to reflect the maximum distance that an individual could travel within the time period between depth observations, accounting for the possible effects of water currents and any other influences on swimming speed. Movement probabilities are combined with the 'intrinsic' probability associated with each location (as defined in the record), giving a holistic measure of the probability of movement into each cell. From the set of cells in which the individual could have been located with a probability of more than zero, n particles are sampled, with replacement and according to their probability, and taken as possible starting positions at the next time step. This process repeats until the end of the time series. Since locations are sampled from the set of possible locations at each time step, any restrictions on the individual's movement (e.g., from acoustic detections) incorporated within record are directly incorporated. The result is a set of simulated particles that represent possible locations of the individual at each time step, accounting for movement restrictions. This can be assembled into a set of movement paths over a surface that is consistent with the data and the model parameters via pf_simplify. While the number of particles is predetermined by n, more than n possible pathways may be defined by all of the combinations of sequential particle movements.

    -

    Convergence

    -

    Algorithm convergence is not guaranteed. There are three main circumstances in which the algorithm may fail to return any paths that span the start to the end of the depth time series:

      -

    1. Chance. All n paths may be `dead ends'. This possibility can be mitigated by increasing n.

      2. -

    2. Movement model. The movement model may be too limiting. This possibility can be mitigated by ensuring that the movement model realistically represents the probability that an individual can transition between cells given the distance between them. This may be guided by data on the study species or similar species. The movement model may need to account for the effect of water currents, which may increase maximum `swimming' speeds in some directions. (Unfortunately, spatially variable swimming speeds are not currently implemented.) If maximum swimming speeds are uncertain, implementing the algorithm over longer time series (e.g., every \(2^{nd}\) record), with a suitably relaxed movement model, may facilitate convergence if maximum speeds are unlikely to be maintained for long periods.

      3. -

    3. Other assumptions. The particle filtering process is based on pre-defined surfaces of the possible locations of the individual at each time step and the assumptions in the computation of these surfaces may be violated. For example, in the DC and ACDC algorithms. the depth error may be too restrictive, given the accuracy of the depth observations, the bathymetry data and the tidal height across an area.

      4. -

    In these scenarios, the function returns a message that it is about to fail and the results from the start of the algorithm until the current time step, before stopping.

    +
    calc_distance
    +

    A character that defines the method used to calculate distances between a point (i.e., a sampled location) and the surrounding cells. This drives the probability of movement into those cells via a movement model (see calc_movement_pr and calc_movement_pr_from_origin). Currently supported options are Euclidean distances ("euclid") or shortest (least-cost) distances ("lcp"), which represent the shortest distance that an individual would have to move over the surface (bathy, see below) to traverse between locations (accounting for both planar and vertical distances). Note that this option requires that resolution of bathy in the x and y directions is equal. At small spatial scales, this option provides more realistic distances in hilly landscapes, but it is more computationally expensive. At larger scales, horizontal distances tend to overwhelm vertical distances, so Euclidean distances may be acceptable. A pragmatic option is to implement the algorithm (possibly for a subset of the record time series) using the Euclidean distances method and then interpolate least-cost paths between (a) the subset of sampled locations returned by this approach via pf_simplify or (b) (b) the subset of paths returned by pf_simplify via lcp_interp. This two-step approach will demonstrate whether sequential positions are plausible (i.e., not too far apart) once the bathymetry is taken into account. If so, the shortest-distances derived using this method can be used for post-hoc adjustment of movement probabilities. Alternatively, this approach may demonstrate that the algorithm should be re-implemented using the shortest distances method (see lcp_interp).

    -

    Computational considerations

    -

    This algorithm is computationally intensive. It is advisable that it is run initially with a small time series in a small area and a small number of particles. For larger datasets, there are some tricks that can improve computation time.

      -

    • Temporal resolution. Reduce the temporal resolution of the record time series so that there are fewer time steps.

      • -

    • Bathymetric resolution. Reduce the resolution of records. For the DC or ACDC algorithms, this will require re-implementing dc or acdc with a lower resolution surface and propagating the additional error induced by this process via calc_depth_error (e.g., see process_surface) and then using the recomputed records in this function.

      • -

    • Mobility limits. Check whether or not setting mobility limits (mobility, mobility_from_origin) improves speed.

      • -

    • Distance calculations. This step is particularly slow because the distance from each location to many or all surrounding locations are calculated. To speed up this step, implement calc_distance = "euclid" with calc_distance_euclid_fast = TRUE. If necessary, interpolate least-cost paths after algorithm completion within pf_simplify or lcp_interp. In the future, a Markov chain Monte Carlo style approach may be implemented in which distances (and probabilities) for randomly selected `proposal' cells are calculated, with those cells then rejected or retained, rather than calculating distances to many or all surrounding cells, but this is unlikely to be faster in many settings.

      • -

    • Parallelisation. If the fast Euclidean distances method is not used, test alternative options for parallelisation. For the cl argument, specifying an integer on non-Windows platforms may be faster than a cluster from makeCluster (see pblapply). Parallelisation may be slower in some circumstances.

      • -
    +
    calc_distance_euclid_fast
    +

    If calc_distance = "euclid", calc_distance_euclid_fast is a logical input that defines whether or not to use the `fast' method for distance and probability calculations. Under the `slow' method (calc_distance_euclid_fast = FALSE), at each time step the algorithm iterates over each particle, calculates the distance around that particle to neighbouring cells, converts distances to movement probabilities, combines these with the intrinsic probabilities associated with each cell (assigned by the AC, DC or ACDC algorithm) and samples future locations accordingly. Since each particle is considered in turn, each particle has a `history' that is `remembered', which makes path assembly relatively straightforward. In contrast, the faster implementation considers all particles at the same time: a single distance/movement probability surface is calculated around sampled particles, from which future particles are sampled. This approach really excels as the number of particles increases (see n). The disadvantage is that particles do not `remember' where they have come from and as a result movement path assembly is more involved (see pf_simplify). However, in most cases calc_distance_euclid_fast is probably desirable, since pf_simplify takes care of movement path assembly.

    -

    See also

    -

    This routine builds on the AC (ac), (dc) and (acdc) algorithms. For the movement model, Euclidean distances are obtained from distanceFromPoints or shortest distances are obtained from lcp_from_point (via lcp_costs and lcp_graph_surface, unless calc_distance_graph is supplied). The default movement model applied to these distances is pf_setup_movement_pr. get_mvt_resting provides a means to assign resting/non-resting behaviour to time steps (in data) for behaviourally dependent movement models. Particle histories can be visualised with pf_plot_history and joined into paths via pf_simplify. For processed paths, shortest distances/paths between sequential locations can be interpolated via lcp_interp, which is a wrapper for the lcp_over_surface routine. This can be useful for checking whether the faster Euclidean distances method is acceptable and, if so, for post-hoc adjustments of movement probabilities based on shortest distances (see lcp_interp). Paths can be visualised with pf_plot_1d, pf_plot_2d and pf_plot_3d. The log-probability of the paths, given the movement model, can be calculated via pf_loglik.

    -

    Author

    +
    bathy
    +

    (optional) If calc_distance = "lcp", bathy is raster that defines the bathymetry across the area within which the individual could have moved. bathy must be planar (i.e., Universal Transverse Mercator projection) with units of metres in x, y and z directions (m). The surface's resolution is taken to define the distance between horizontally and vertically connected cells and must be the same in both x and y directions. Any cells with NA values (e.g., due to missing data) are treated as `impossible' to move though by the algorithm (see lcp_over_surface).

    + + +
    calc_distance_graph
    +

    (optional) If calc_distance = "lcp", calc_distance_graph is a graph object from lcp_graph_surface that defines the distances between connected cells in bathy. This is useful in iterative applications in the same environment, especially for large bathymetry rasters (see bathy) because the calculations of movement costs between adjacent cells and graph construction---both required for the calculation of shortest paths---can be skipped.

    + + +
    calc_movement_pr
    +

    The movement model. This must be a function that calculates the probability of movement between two locations in the time between sequential records, given the distance between them (the first argument) and (optionally) any other pertinent information in the data for the relevant time step (the second argument). For example, behavioural states could be defined in a column in the data and then included as part of the movement model. Both arguments must be accepted, even if the second is ignored. The default option is a declining logistic curve, designed for flapper skate (Dipturus intermedius), representing a high probability of movement between nearby locations and a lower probability of movement between distant locations (see pf_setup_movement_pr). For computational efficiency, it is beneficial if the probability of movement is set to zero beyond a distance considered to be highly unlikely, because such locations are excluded from subsequent calculations (see pf_setup_movement_pr and the mobility argument, below). Currently, the movement model cannot incorporate the individual's location (for spatially variable fields such as water currents).

    + + +
    calc_movement_pr_from_origin
    +

    (optional) If an origin is supplied, calc_movement_pr_from_origin can be supplied to define the probability of sampling possible starting locations depending on their distance from the origin. By default, calc_movement_pr_from_origin = calc_movement_pr and the same guidance applies to both arguments. Specifying calc_movement_pr_from_origin specifically may be necessary if the duration between the time at which the origin was observed and the first record differs from the regular interval between subsequent records. This allows the effect of the origin to be weaker or stronger than the effect of locations at later time steps on sampled locations, if necessary.

    + + +
    mobility
    +

    (optional) A number that defines the maximum horizontal distance (m) that the individual could travel in the time period between sequential raster layers. While this is optional, it is often computationally beneficial to define mobility because this restricts distance and probability calculations at each time step within the smallest appropriate range (rather than across the full surface).

    -

    Edward Lavender

    -

    Examples

    - 
    #### Summary
-# In these examples, we consider an example depth time series, which we generate.
-# We use the DC algorithm to reconstruct the possible locations of the individual through time.
-# We then use particle filtering (the DCPF algorithm in this case) to refine maps of the
-# ... individuals possible location via the incorporation of a movement model. The
-# ... same principles apply to other algorithms e.g., AC and ACDC.
+
    mobility_from_origin
    
+
    (optional) As above for mobility, but for the first time step (i.e., the horizontal movement the individual could have moved from the origin) (see calc_movement_pr_from_origin).
    
 
-#### Step (1): Generate some example movement time series over a surface
 
-## Sample species
-# In this example, we consider flapper skate (Dipturus intermedius)
-# ... off the west coast of Scotland.
+
    n
    
+
    An integer that defines the number of particles (i.e., the number of locations sampled at each time step from the set of possible locations at that time step).
    
 
-## Define a starting location (optional) in UTM coordinates
-xy <- matrix(c(708886.3, 6254404), ncol = 2)
-## Define 'observed' depth time series using absolute values
-# Imagine these are observations made every two minutes
-depth <- c(163.06, 159.71, 153.49, 147.04, 139.86, 127.19, 114.75,
-           99.44,  87.01,  78.16,  70.03,  60.23,  49.96,  35.39,
-           27.75,  20.13,  12.73,  11.32)
-depth <- data.frame(depth = depth)
 
-## Define surface over which movement occurred
-# We will use the example dat_gebco bathymetry dataset
-# This is relatively coarse in resolution, so we need to re-sample
-# ... the raster to generate a finer-resolution raster such that
-# ... our animal can transition between cells
-# ... in the duration between depth observations. For speed,
-# ... we will focus on a small area around the origin. We could
-# ... also process the raster in other ways (e.g., mask any areas of land)
-# ... to improve efficiency.
-surface    <- dat_gebco
-boundaries <- raster::extent(707884.6, 709884.6, 6253404, 6255404)
-blank      <- raster::raster(boundaries, res = c(5, 5))
-surface    <- raster::resample(surface, blank)
-
    #> Warning: aggregation factor is larger than the number of columns
    #> Warning: aggregation factor is larger than the number of rows
    #> Error in .intersectExtent(x, y, validate = TRUE): Objects do not intersect
    
-## Define depth error function
-# Because the bathymetry data is very coarse, and the bathymetry is
-# ... very complex in this region of Scotland, we have to
-# ... force a high depth error to be high in this example.
-# The calc_depth_error() function can depend on depth, but in this example
-# ... we assume the depth error is independent of depth.
-cde <- function(...) matrix(c(-30, 30), nrow = 2)
+
    resample
    
+
    (optional) An integer that defines the minimum number of unique cells that should be sampled, given the movement model (calc_movement_pr or calc_movement_pr_from_origin). If supplied, if fewer than resample unique cells are sampled at a time step, n particles are re-sampled with replacement with equal probability from all of the cells with non-zero probability. This may facilitate algorithm convergence if there are some cells that are overwhelmingly more probable (given the movement model) are `dead ends': re-sampling all possible cells with equal probability allows the algorithm to explore less likely routes more easily when the number of routes becomes low. resample must be less than or equal to n.
    
 
-## Define movement model
-# The default movement model is suitable, with skate moving typically
-# ... less than 200 m in a two-minute period.
-# You could use a separate movement model (and mobility restriction) for the origin
-# ... if necessary, but for brevity we don't implement that here.
 
-## Visualise movement surface, with starting location overlaid
-prettyGraphics::pretty_map(add_rasters = list(x = surface),
-                           add_points = list(x = xy),
-                           verbose = FALSE)
-
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
    
-#### Step (2): Use the DC algorithm to get individual's the possible locations
-dc_out <- dc(archival = depth,
-             bathy = surface,
-             calc_depth_error = cde,
-             save_record_spatial = NULL)
-
    #> flapper::dc() called (@ 2022-06-17 10:06:40)... 
-#> ... Setting up function... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> ... Implementing calc_depth_error()... 
-#> ... Plotting movement time series (for each chunk)... 
    #> ... Implementing algorithm over time steps... 
-#> ... flapper::dc() call completed (@ 2022-06-17 10:06:40) after ~0 minutes. 
    # Extract time-specific maps
-# ... Either directly for single chunk implementations of dc()
-record <- dc_out$archive$record
-record <- lapply(record, function(r) r$spatial[[1]]$map_timestep)
-# ... Or indirectly via acdc_simplify() in general
-dc_out_summary <- acdc_simplify(dc_out, type = "dc")
-
    #> acdc_simplify() implemented for type = 'dc'.
    record <- lapply(dc_out_summary$record, function(r) r$spatial[[1]]$map_timestep)
-# Plot maps
-lapply(record, function(r) raster::plot(r))
-
    #> [[1]]
-#> NULL
-#> 
-#> [[2]]
-#> NULL
-#> 
-#> [[3]]
-#> NULL
-#> 
-#> [[4]]
-#> NULL
-#> 
-#> [[5]]
-#> NULL
-#> 
-#> [[6]]
-#> NULL
-#> 
-#> [[7]]
-#> NULL
-#> 
-#> [[8]]
-#> NULL
-#> 
-#> [[9]]
-#> NULL
-#> 
-#> [[10]]
-#> NULL
-#> 
-#> [[11]]
-#> NULL
-#> 
-#> [[12]]
-#> NULL
-#> 
-#> [[13]]
-#> NULL
-#> 
-#> [[14]]
-#> NULL
-#> 
-#> [[15]]
-#> NULL
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-#> [[16]]
-#> NULL
-#> 
-#> [[17]]
-#> NULL
-#> 
-#> [[18]]
-#> NULL
-#> 
    
-#### Example (1): Implement algorithm using default options
-out_1 <- pf(record = record,
-            origin  = xy,
-            calc_distance = "euclid",
-            calc_movement_pr = pf_setup_movement_pr,
-            n = 10L,
-            seed = 1)
-
    #> flapper::pf() called (@ 2022-06-17 10:06:40)... 
-#> ... Setting up function... 
-#> ... Determining the set of possible starting locations (t = 1)... 
-#> ... Implementing algorithm iteratively over time steps... 
-#> ... ... Time = 1... 
    #> The probability of all cells at time 1 is 0. Either (1) the algorithm has been 'unlucky' and all n = 10 particles up to this point have led to 'dead ends', (2) the mobility model ('mobility') is too limiting and/or (3) other model assumptions have been violated. The function will now stop, returning outputs up until this point.
    # The function returns a pf_archive-class object
-class(out_1)
-
    #> [1] "list"       "pf_archive"
    utils::str(out_1)
-
    #> List of 3
-#>  $ history: list()
-#>  $ method : chr "pf"
-#>  $ args   :List of 21
-#>   ..$ record                       :List of 18
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0 0 0 0 0 0 0 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.0156
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0 0 0 0 0 0 0 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.0141
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0 0 0 0 0 0 0 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.0128
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0 0 0 0 0 0 0 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.011
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0 0 0 0 0 0 0 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.0099
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0 0 0 0 0 0 0 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.00719
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0 0 0 0 0 0 0 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.00541
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0 0 0 0 0 0 0 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.00495
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0 0 0 0 0 0 0 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.00435
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0.00394 0 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.00394
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0.00395 0 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.00395
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0.00375 0.00375 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.00375
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0.00375 0.00375 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.00375
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0.00348 0.00348 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.00348
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0.00368 0.00368 0 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.00368
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0 0.00287 0.00287 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.00287
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0 0.00241 0.00241 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.00241
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   .. ..$ :Formal class 'RasterLayer' [package "raster"] with 12 slots
-#>   .. .. .. ..@ file    :Formal class '.RasterFile' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ name        : chr ""
-#>   .. .. .. .. .. ..@ datanotation: chr "FLT4S"
-#>   .. .. .. .. .. ..@ byteorder   : chr "little"
-#>   .. .. .. .. .. ..@ nodatavalue : num -Inf
-#>   .. .. .. .. .. ..@ NAchanged   : logi FALSE
-#>   .. .. .. .. .. ..@ nbands      : int 1
-#>   .. .. .. .. .. ..@ bandorder   : chr "BIL"
-#>   .. .. .. .. .. ..@ offset      : int 0
-#>   .. .. .. .. .. ..@ toptobottom : logi TRUE
-#>   .. .. .. .. .. ..@ blockrows   : int 36
-#>   .. .. .. .. .. ..@ blockcols   : int 36
-#>   .. .. .. .. .. ..@ driver      : chr ""
-#>   .. .. .. .. .. ..@ open        : logi FALSE
-#>   .. .. .. ..@ data    :Formal class '.SingleLayerData' [package "raster"] with 13 slots
-#>   .. .. .. .. .. ..@ values    : num [1:1296] 0 0.00237 0.00237 0 0 ...
-#>   .. .. .. .. .. ..@ offset    : num 0
-#>   .. .. .. .. .. ..@ gain      : num 1
-#>   .. .. .. .. .. ..@ inmemory  : logi TRUE
-#>   .. .. .. .. .. ..@ fromdisk  : logi FALSE
-#>   .. .. .. .. .. ..@ isfactor  : logi FALSE
-#>   .. .. .. .. .. ..@ attributes: list()
-#>   .. .. .. .. .. ..@ haveminmax: logi TRUE
-#>   .. .. .. .. .. ..@ min       : num 0
-#>   .. .. .. .. .. ..@ max       : num 0.00237
-#>   .. .. .. .. .. ..@ band      : int 1
-#>   .. .. .. .. .. ..@ unit      : chr ""
-#>   .. .. .. .. .. ..@ names     : chr "layer"
-#>   .. .. .. ..@ legend  :Formal class '.RasterLegend' [package "raster"] with 5 slots
-#>   .. .. .. .. .. ..@ type      : chr(0) 
-#>   .. .. .. .. .. ..@ values    : logi(0) 
-#>   .. .. .. .. .. ..@ color     : logi(0) 
-#>   .. .. .. .. .. ..@ names     : logi(0) 
-#>   .. .. .. .. .. ..@ colortable: logi(0) 
-#>   .. .. .. ..@ title   : chr(0) 
-#>   .. .. .. ..@ extent  :Formal class 'Extent' [package "raster"] with 4 slots
-#>   .. .. .. .. .. ..@ xmin: num -5.55
-#>   .. .. .. .. .. ..@ xmax: num -5.4
-#>   .. .. .. .. .. ..@ ymin: num 56.3
-#>   .. .. .. .. .. ..@ ymax: num 56.5
-#>   .. .. .. ..@ rotated : logi FALSE
-#>   .. .. .. ..@ rotation:Formal class '.Rotation' [package "raster"] with 2 slots
-#>   .. .. .. .. .. ..@ geotrans: num(0) 
-#>   .. .. .. .. .. ..@ transfun:function ()  
-#>   .. .. .. ..@ ncols   : int 36
-#>   .. .. .. ..@ nrows   : int 36
-#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
-#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
-#>   .. .. .. ..@ history : list()
-#>   .. .. .. ..@ z       : list()
-#>   ..$ data                         : NULL
-#>   ..$ origin                       : num [1, 1:2] 708886 6254404
-#>   ..$ calc_distance                : chr "euclid"
-#>   ..$ calc_distance_euclid_fast    : logi TRUE
-#>   ..$ bathy                        : NULL
-#>   ..$ calc_distance_graph          : NULL
-#>   ..$ calc_movement_pr             :function (distance, ...)  
-#>   ..$ calc_movement_pr_from_origin :function (distance, ...)  
-#>   ..$ mobility                     : NULL
-#>   ..$ mobility_from_origin         : NULL
-#>   ..$ n                            : int 10
-#>   ..$ resample                     : NULL
-#>   ..$ update_history               : NULL
-#>   ..$ update_history_from_time_step: int 1
-#>   ..$ write_history                : NULL
-#>   ..$ cl                           : NULL
-#>   ..$ use_all_cores                : logi FALSE
-#>   ..$ seed                         : num 1
-#>   ..$ verbose                      : logi TRUE
-#>   ..$ optimisers                   :List of 3
-#>   .. ..$ use_raster_operations                 : logi TRUE
-#>   .. ..$ use_calc_distance_euclid_backend_grass: logi FALSE
-#>   .. ..$ use_grass_dir                         : NULL
-#>   .. ..- attr(*, "class")= chr [1:2] "list" "pf_optimiser"
-#>  - attr(*, "class")= chr [1:2] "list" "pf_archive"
    # Algorithm duration during testing ~0.03 minutes
-# ... (vs ~0.21 minutes with calc_distance_euclid_fast = FALSE)
+
    update_history
    
+
    (optional) A list that defines particle histories from an earlier implementation of pf (i.e., the `history' element of a pf_archive-class object). If provided, the function attempts to continue paths from an earlier time step (see update_history_from_time_step). This can be useful if the algorithm fails to converge on its initial implementation because the algorithm can be re-started part-way through the time series.
    
 
-#### Example (2): Implement algorithm reading rasters from file on the fly
-# Save files (this can be done directly within dc())
-tmp_root <- paste0(tempdir(), "/dc_files/")
-dir.create(tmp_root)
-lapply(1:length(record), function(i) raster::writeRaster(record[[i]], paste0(tmp_root, i, ".tif")))
-
    #> [[1]]
-#> class      : RasterLayer 
-#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
-#> resolution : 0.004166667, 0.004166667  (x, y)
-#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=longlat +datum=WGS84 +no_defs 
-#> source     : 1.tif 
-#> names      : X1 
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-#> 
    # Create pointer to files (in the correct order by time step)
-record_pointer <- list.files(tmp_root)
-record_pointer <- substr(record_pointer, 1, nchar(record_pointer) - 4)
-record_pointer <- data.frame(index = 1:length(record_pointer), name = record_pointer)
-record_pointer <- record_pointer[order(as.integer(record_pointer$name)), ]
-record_pointer <- list.files(tmp_root, full.names = TRUE)[record_pointer$index]
-out_2 <- pf(record = record_pointer,
-            origin  = xy,
-            calc_distance = "euclid",
-            calc_movement_pr = pf_setup_movement_pr,
-            n = 10L,
-            seed = 1)
-
    #> flapper::pf() called (@ 2022-06-17 10:06:41)... 
-#> ... Setting up function... 
-#> ... Determining the set of possible starting locations (t = 1)... 
-#> ... Implementing algorithm iteratively over time steps... 
-#> ... ... Time = 1... 
    #> The probability of all cells at time 1 is 0. Either (1) the algorithm has been 'unlucky' and all n = 10 particles up to this point have led to 'dead ends', (2) the mobility model ('mobility') is too limiting and/or (3) other model assumptions have been violated. The function will now stop, returning outputs up until this point.
    
-#### Example (3): Implement a blanket mobility restriction
-# This can improve computational efficiency but offers no improvement
-# ... in this example (e.g., due to relatively small raster, so the cost of
-# ... focusing in on a specific area matches the speed gains of
-# ... implementing the distance/movement
-# ... pr calculations over a smaller area at each time step)
-out_3 <- pf(record = record,
-            origin  = xy,
-            calc_distance = "euclid",
-            calc_movement_pr = pf_setup_movement_pr,
-            mobility = 250,
-            n = 10L,
-           seed = 1)
-
    #> flapper::pf() called (@ 2022-06-17 10:06:42)... 
-#> ... Setting up function... 
-#> ... Determining the set of possible starting locations (t = 1)... 
    #> Error in .local(obj, ...): NA values in coordinates
    # Algorithm duration during testing ~0.04 minutes
 
-#### Example (4): Implement algorithm using shortest distances
-# Note the need for a surface with equal resolution if this option is implemented.
-# To speed up the initial stages of the algorithm, you can supply the graph
-# ... required for least-cost calculations via calc_distance_graph, but for
-# ... brevity we don't implement that here.
-out_4 <- pf(record = record,
-            origin  = xy,
-            calc_distance = "lcp",
-            bathy = surface,
-            calc_movement_pr = pf_setup_movement_pr,
-            n = 10L,
-            seed = 1)
-
    #> flapper::pf() called (@ 2022-06-17 10:06:42)... 
-#> ... Setting up function... 
-#> ... Setting up cost-surface for calc_distance = 'lcp'... 
-#> flapper::lcp_costs() called (@ 2022-06-17 10:06:42)... 
-#> ... Defining transition matrices... 
    #> Warning: transition function gives negative values
    #> ... Calculating distance matrices... 
-#> ... Assembling LCP costs... 
-#> ... flapper::lcp_costs() call completed (@ 2022-06-17 10:06:42) after ~0 minutes. 
-#> flapper::lcp_graph_surface() called (@ 2022-06-17 10:06:42)... 
-#> ... Defining nodes, edges and costs to make graph... 
-#> ... Constructing graph object... 
-#> ... flapper::lcp_graph_surface() call completed (@ 2022-06-17 10:06:42) after ~0 minutes. 
-#> ... Determining the set of possible starting locations (t = 1)... 
-#> flapper::lcp_from_point() called (@ 2022-06-17 10:06:42)... 
-#> ... Calling cppRouting::get_distance_matrix() to get least-cost distances... 
    #> Error in (function (Graph, from, to, algorithm = "phast", allcores = FALSE) {    if (any(is.na(from)))         stop("NAs are not allowed in origin/destination nodes")    if (any(is.na(to)))         stop("NAs are not allowed in origin/destination nodes")    from <- as.character(from)    to <- as.character(to)    allnodes <- c(from, to)    if (sum(allnodes %in% Graph$dict$ref) < length(allnodes))         stop("Some nodes are not in the graph")    from_id <- Graph$dict$id[match(from, Graph$dict$ref)]    to_id <- Graph$dict$id[match(to, Graph$dict$ref)]    if (length(Graph) == 4) {        if (allcores == TRUE) {            if (length(to) < length(from)) {                res <- Dijkstra_mat_par(to_id, from_id, Graph$data[,                   2], Graph$data[, 1], Graph$data[, 3], Graph$nbnode)            }            else {                res <- Dijkstra_mat_par(from_id, to_id, Graph$data[,                   1], Graph$data[, 2], Graph$data[, 3], Graph$nbnode)            }        }        else {            if (length(to) < length(from))                 res <- Dijkstra_mat(Graph$data[, 2], Graph$data[,                   1], Graph$data[, 3], Graph$nbnode, to_id, from_id)            else res <- Dijkstra_mat(Graph$data[, 1], Graph$data[,                 2], Graph$data[, 3], Graph$nbnode, from_id, to_id)        }    }    if (length(Graph) == 5) {        if (algorithm == "mch") {            if (allcores == TRUE) {                if (length(to) < length(from)) {                  res <- par_Bidir_mat2(to_id, from_id, Graph$data[,                     2], Graph$data[, 1], Graph$data[, 3], Graph$nbnode,                     Graph$rank)                }                else {                  res <- par_Bidir_mat2(from_id, to_id, Graph$data[,                     1], Graph$data[, 2], Graph$data[, 3], Graph$nbnode,                     Graph$rank)                }            }            else {                if (length(to) < length(from))                   res <- Bidir_mat3(to_id, from_id, Graph$data[,                     2], Graph$data[, 1], Graph$data[, 3], Graph$nbnode,                     Graph$rank)                else res <- Bidir_mat3(from_id, to_id, Graph$data[,                   1], Graph$data[, 2], Graph$data[, 3], Graph$nbnode,                   Graph$rank)            }        }        else {            invrank <- (Graph$nbnode) - Graph$rank            if (allcores == TRUE) {                if (length(to) < length(from)) {                  res <- Phast_par(invrank[to_id + 1], invrank[from_id +                     1], invrank[Graph$data$to + 1], invrank[Graph$data$from +                     1], Graph$data[, 3], Graph$nbnode)                }                else {                  res <- Phast_par(invrank[from_id + 1], invrank[to_id +                     1], invrank[Graph$data$from + 1], invrank[Graph$data$to +                     1], Graph$data[, 3], Graph$nbnode)                }            }            else {                if (length(to) < length(from))                   res <- Phast3(invrank[to_id + 1], invrank[from_id +                     1], invrank[Graph$data$to + 1], invrank[Graph$data$from +                     1], Graph$data[, 3], Graph$nbnode)                else res <- Phast3(invrank[from_id + 1], invrank[to_id +                   1], invrank[Graph$data$from + 1], invrank[Graph$data$to +                   1], Graph$data[, 3], Graph$nbnode)            }        }    }    if (length(to) < length(from))         res <- t(res)    rownames(res) <- from    colnames(res) <- to    return(res)})(Graph = list(data = structure(list(from = c(0L, 0L, 0L, 0L, 0L, 1L, 1L, 1L, 1L, 1L, 2L, 2L, 2L, 2L, 2L, 3L, 3L, 3L, 3L, 3L, 4L, 4L, 4L, 4L, 4L, 5L, 5L, 5L, 5L, 5L, 6L, 6L, 6L, 6L, 6L, 7L, 7L, 7L, 7L, 7L, 8L, 8L, 8L, 8L, 8L, 9L, 9L, 9L, 9L, 9L, 10L, 10L, 10L, 10L, 10L, 11L, 11L, 11L, 11L, 11L, 12L, 12L, 12L, 12L, 12L, 13L, 13L, 13L, 13L, 13L, 14L, 14L, 14L, 14L, 14L, 15L, 15L, 15L, 15L, 15L, 16L, 16L, 16L, 16L, 16L, 17L, 17L, 17L, 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1061L, 1095L, 1097L, 1131L, 1132L, 1133L, 1060L, 1061L, 1062L, 1096L, 1098L, 1132L, 1133L, 1134L, 1061L, 1062L, 1063L, 1097L, 1099L, 1133L, 1134L, 1135L, 1062L, 1063L, 1064L, 1098L, 1100L, 1134L, 1135L, 1136L, 1063L, 1064L, 1065L, 1099L, 1101L, 1135L, 1136L, 1137L, 1064L, 1065L, 1066L, 1100L, 1102L, 1136L, 1137L, 1138L, 1065L, 1066L, 1067L, 1101L, 1103L, 1137L, 1138L, 1139L, 1066L, 1067L, 1068L, 1102L, 1104L, 1138L, 1139L, 1140L, 1067L, 1068L, 1069L, 1103L, 1105L, 1139L, 1140L, 1141L, 1068L, 1069L, 1070L, 1104L, 1106L, 1140L, 1141L, 1142L, 1069L, 1070L, 1071L, 1105L, 1107L, 1141L, 1142L, 1143L, 1070L, 1071L, 1072L, 1106L, 1108L, 1142L, 1143L, 1144L, 1071L, 1072L, 1073L, 1107L, 1109L, 1143L, 1144L, 1145L, 1072L, 1073L, 1074L, 1108L, 1110L, 1144L, 1145L, 1146L, 1073L, 1074L, 1075L, 1109L, 1111L, 1145L, 1146L, 1147L, 1074L, 1075L, 1076L, 1110L, 1112L, 1146L, 1147L, 1148L, 1075L, 1076L, 1077L, 1111L, 1113L, 1147L, 1148L, 1149L, 1076L, 1077L, 1078L, 1112L, 1114L, 1148L, 1149L, 1150L, 1077L, 1078L, 1113L, 1149L, 1150L, 1079L, 1080L, 1116L, 1151L, 1152L, 1079L, 1080L, 1081L, 1115L, 1117L, 1151L, 1152L, 1153L, 1080L, 1081L, 1082L, 1116L, 1118L, 1152L, 1153L, 1154L, 1081L, 1082L, 1083L, 1117L, 1119L, 1153L, 1154L, 1155L, 1082L, 1083L, 1084L, 1118L, 1120L, 1154L, 1155L, 1156L, 1083L, 1084L, 1085L, 1119L, 1121L, 1155L, 1156L, 1157L, 1084L, 1085L, 1086L, 1120L, 1122L, 1156L, 1157L, 1158L, 1085L, 1086L, 1087L, 1121L, 1123L, 1157L, 1158L, 1159L, 1086L, 1087L, 1088L, 1122L, 1124L, 1158L, 1159L, 1160L, 1087L, 1088L, 1089L, 1123L, 1125L, 1159L, 1160L, 1161L, 1088L, 1089L, 1090L, 1124L, 1126L, 1160L, 1161L, 1162L, 1089L, 1090L, 1091L, 1125L, 1127L, 1161L, 1162L, 1163L, 1090L, 1091L, 1092L, 1126L, 1128L, 1162L, 1163L, 1164L, 1091L, 1092L, 1093L, 1127L, 1129L, 1163L, 1164L, 1165L, 1092L, 1093L, 1094L, 1128L, 1130L, 1164L, 1165L, 1166L, 1093L, 1094L, 1095L, 1129L, 1131L, 1165L, 1166L, 1167L, 1094L, 1095L, 1096L, 1130L, 1132L, 1166L, 1167L, 1168L, 1095L, 1096L, 1097L, 1131L, 1133L, 1167L, 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1115L, 1116L, 1152L, 1187L, 1188L, 1115L, 1116L, 1117L, 1151L, 1153L, 1187L, 1188L, 1189L, 1116L, 1117L, 1118L, 1152L, 1154L, 1188L, 1189L, 1190L, 1117L, 1118L, 1119L, 1153L, 1155L, 1189L, 1190L, 1191L, 1118L, 1119L, 1120L, 1154L, 1156L, 1190L, 1191L, 1192L, 1119L, 1120L, 1121L, 1155L, 1157L, 1191L, 1192L, 1193L, 1120L, 1121L, 1122L, 1156L, 1158L, 1192L, 1193L, 1194L, 1121L, 1122L, 1123L, 1157L, 1159L, 1193L, 1194L, 1195L, 1122L, 1123L, 1124L, 1158L, 1160L, 1194L, 1195L, 1196L, 1123L, 1124L, 1125L, 1159L, 1161L, 1195L, 1196L, 1197L, 1124L, 1125L, 1126L, 1160L, 1162L, 1196L, 1197L, 1198L, 1125L, 1126L, 1127L, 1161L, 1163L, 1197L, 1198L, 1199L, 1126L, 1127L, 1128L, 1162L, 1164L, 1198L, 1199L, 1200L, 1127L, 1128L, 1129L, 1163L, 1165L, 1199L, 1200L, 1201L, 1128L, 1129L, 1130L, 1164L, 1166L, 1200L, 1201L, 1202L, 1129L, 1130L, 1131L, 1165L, 1167L, 1201L, 1202L, 1203L, 1130L, 1131L, 1132L, 1166L, 1168L, 1202L, 1203L, 1204L, 1131L, 1132L, 1133L, 1167L, 1169L, 1203L, 1204L, 1205L, 1132L, 1133L, 1134L, 1168L, 1170L, 1204L, 1205L, 1206L, 1133L, 1134L, 1135L, 1169L, 1171L, 1205L, 1206L, 1207L, 1134L, 1135L, 1136L, 1170L, 1172L, 1206L, 1207L, 1208L, 1135L, 1136L, 1137L, 1171L, 1173L, 1207L, 1208L, 1209L, 1136L, 1137L, 1138L, 1172L, 1174L, 1208L, 1209L, 1210L, 1137L, 1138L, 1139L, 1173L, 1175L, 1209L, 1210L, 1211L, 1138L, 1139L, 1140L, 1174L, 1176L, 1210L, 1211L, 1212L, 1139L, 1140L, 1141L, 1175L, 1177L, 1211L, 1212L, 1213L, 1140L, 1141L, 1142L, 1176L, 1178L, 1212L, 1213L, 1214L, 1141L, 1142L, 1143L, 1177L, 1179L, 1213L, 1214L, 1215L, 1142L, 1143L, 1144L, 1178L, 1180L, 1214L, 1215L, 1216L, 1143L, 1144L, 1145L, 1179L, 1181L, 1215L, 1216L, 1217L, 1144L, 1145L, 1146L, 1180L, 1182L, 1216L, 1217L, 1218L, 1145L, 1146L, 1147L, 1181L, 1183L, 1217L, 1218L, 1219L, 1146L, 1147L, 1148L, 1182L, 1184L, 1218L, 1219L, 1220L, 1147L, 1148L, 1149L, 1183L, 1185L, 1219L, 1220L, 1221L, 1148L, 1149L, 1150L, 1184L, 1186L, 1220L, 1221L, 1222L, 1149L, 1150L, 1185L, 1221L, 1222L, 1151L, 1152L, 1188L, 1223L, 1224L, 1151L, 1152L, 1153L, 1187L, 1189L, 1223L, 1224L, 1225L, 1152L, 1153L, 1154L, 1188L, 1190L, 1224L, 1225L, 1226L, 1153L, 1154L, 1155L, 1189L, 1191L, 1225L, 1226L, 1227L, 1154L, 1155L, 1156L, 1190L, 1192L, 1226L, 1227L, 1228L, 1155L, 1156L, 1157L, 1191L, 1193L, 1227L, 1228L, 1229L, 1156L, 1157L, 1158L, 1192L, 1194L, 1228L, 1229L, 1230L, 1157L, 1158L, 1159L, 1193L, 1195L, 1229L, 1230L, 1231L, 1158L, 1159L, 1160L, 1194L, 1196L, 1230L, 1231L, 1232L, 1159L, 1160L, 1161L, 1195L, 1197L, 1231L, 1232L, 1233L, 1160L, 1161L, 1162L, 1196L, 1198L, 1232L, 1233L, 1234L, 1161L, 1162L, 1163L, 1197L, 1199L, 1233L, 1234L, 1235L, 1162L, 1163L, 1164L, 1198L, 1200L, 1234L, 1235L, 1236L, 1163L, 1164L, 1165L, 1199L, 1201L, 1235L, 1236L, 1237L, 1164L, 1165L, 1166L, 1200L, 1202L, 1236L, 1237L, 1238L, 1165L, 1166L, 1167L, 1201L, 1203L, 1237L, 1238L, 1239L, 1166L, 1167L, 1168L, 1202L, 1204L, 1238L, 1239L, 1240L, 1167L, 1168L, 1169L, 1203L, 1205L, 1239L, 1240L, 1241L, 1168L, 1169L, 1170L, 1204L, 1206L, 1240L, 1241L, 1242L, 1169L, 1170L, 1171L, 1205L, 1207L, 1241L, 1242L, 1243L, 1170L, 1171L, 1172L, 1206L, 1208L, 1242L, 1243L, 1244L, 1171L, 1172L, 1173L, 1207L, 1209L, 1243L, 1244L, 1245L, 1172L, 1173L, 1174L, 1208L, 1210L, 1244L, 1245L, 1246L, 1173L, 1174L, 1175L, 1209L, 1211L, 1245L, 1246L, 1247L, 1174L, 1175L, 1176L, 1210L, 1212L, 1246L, 1247L, 1248L, 1175L, 1176L, 1177L, 1211L, 1213L, 1247L, 1248L, 1249L, 1176L, 1177L, 1178L, 1212L, 1214L, 1248L, 1249L, 1250L, 1177L, 1178L, 1179L, 1213L, 1215L, 1249L, 1250L, 1251L, 1178L, 1179L, 1180L, 1214L, 1216L, 1250L, 1251L, 1252L, 1179L, 1180L, 1181L, 1215L, 1217L, 1251L, 1252L, 1253L, 1180L, 1181L, 1182L, 1216L, 1218L, 1252L, 1253L, 1254L, 1181L, 1182L, 1183L, 1217L, 1219L, 1253L, 1254L, 1255L, 1182L, 1183L, 1184L, 1218L, 1220L, 1254L, 1255L, 1256L, 1183L, 1184L, 1185L, 1219L, 1221L, 1255L, 1256L, 1257L, 1184L, 1185L, 1186L, 1220L, 1222L, 1256L, 1257L, 1258L, 1185L, 1186L, 1221L, 1257L, 1258L, 1187L, 1188L, 1224L, 1259L, 1260L, 1187L, 1188L, 1189L, 1223L, 1225L, 1259L, 1260L, 1261L, 1188L, 1189L, 1190L, 1224L, 1226L, 1260L, 1261L, 1262L, 1189L, 1190L, 1191L, 1225L, 1227L, 1261L, 1262L, 1263L, 1190L, 1191L, 1192L, 1226L, 1228L, 1262L, 1263L, 1264L, 1191L, 1192L, 1193L, 1227L, 1229L, 1263L, 1264L, 1265L, 1192L, 1193L, 1194L, 1228L, 1230L, 1264L, 1265L, 1266L, 1193L, 1194L, 1195L, 1229L, 1231L, 1265L, 1266L, 1267L, 1194L, 1195L, 1196L, 1230L, 1232L, 1266L, 1267L, 1268L, 1195L, 1196L, 1197L, 1231L, 1233L, 1267L, 1268L, 1269L, 1196L, 1197L, 1198L, 1232L, 1234L, 1268L, 1269L, 1270L, 1197L, 1198L, 1199L, 1233L, 1235L, 1269L, 1270L, 1271L, 1198L, 1199L, 1200L, 1234L, 1236L, 1270L, 1271L, 1272L, 1199L, 1200L, 1201L, 1235L, 1237L, 1271L, 1272L, 1273L, 1200L, 1201L, 1202L, 1236L, 1238L, 1272L, 1273L, 1274L, 1201L, 1202L, 1203L, 1237L, 1239L, 1273L, 1274L, 1275L, 1202L, 1203L, 1204L, 1238L, 1240L, 1274L, 1275L, 1276L, 1203L, 1204L, 1205L, 1239L, 1241L, 1275L, 1276L, 1277L, 1204L, 1205L, 1206L, 1240L, 1242L, 1276L, 1277L, 1278L, 1205L, 1206L, 1207L, 1241L, 1243L, 1277L, 1278L, 1279L, 1206L, 1207L, 1208L, 1242L, 1244L, 1278L, 1279L, 1280L, 1207L, 1208L, 1209L, 1243L, 1245L, 1279L, 1280L, 1281L, 1208L, 1209L, 1210L, 1244L, 1246L, 1280L, 1281L, 1282L, 1209L, 1210L, 1211L, 1245L, 1247L, 1281L, 1282L, 1283L, 1210L, 1211L, 1212L, 1246L, 1248L, 1282L, 1283L, 1284L, 1211L, 1212L, 1213L, 1247L, 1249L, 1283L, 1284L, 1285L, 1212L, 1213L, 1214L, 1248L, 1250L, 1284L, 1285L, 1286L, 1213L, 1214L, 1215L, 1249L, 1251L, 1285L, 1286L, 1287L, 1214L, 1215L, 1216L, 1250L, 1252L, 1286L, 1287L, 1288L, 1215L, 1216L, 1217L, 1251L, 1253L, 1287L, 1288L, 1289L, 1216L, 1217L, 1218L, 1252L, 1254L, 1288L, 1289L, 1290L, 1217L, 1218L, 1219L, 1253L, 1255L, 1289L, 1290L, 1291L, 1218L, 1219L, 1220L, 1254L, 1256L, 1290L, 1291L, 1292L, 1219L, 1220L, 1221L, 1255L, 1257L, 1291L, 1292L, 1293L, 1220L, 1221L, 1222L, 1256L, 1258L, 1292L, 1293L, 1294L, 1221L, 1222L, 1257L, 1293L, 1294L, 1223L, 1224L, 1260L, 1223L, 1224L, 1225L, 1259L, 1261L, 1224L, 1225L, 1226L, 1260L, 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918L, 919L, 920L, 921L, 922L, 923L, 924L, 925L, 926L, 927L, 928L, 929L, 930L, 931L, 932L, 933L, 934L, 935L, 936L, 937L, 938L, 939L, 940L, 941L, 942L, 943L, 944L, 945L, 946L, 947L, 948L, 949L, 950L, 951L, 952L, 953L, 954L, 955L, 956L, 957L, 958L, 959L, 960L, 961L, 962L, 963L, 964L, 965L, 966L, 967L, 968L, 969L, 970L, 971L, 972L, 973L, 974L, 975L, 976L, 977L, 978L, 979L, 980L, 981L, 982L, 983L, 984L, 985L, 986L, 987L, 988L, 989L, 990L, 991L, 992L, 993L, 994L, 995L, 996L, 997L, 998L, 999L, 1000L, 1001L, 1002L, 1003L, 1004L, 1005L, 1006L, 1007L, 1008L, 1009L, 1010L, 1011L, 1012L, 1013L, 1014L, 1015L, 1016L, 1017L, 1018L, 1019L, 1020L, 1021L, 1022L, 1023L, 1024L, 1025L, 1026L, 1027L, 1028L, 1029L, 1030L, 1031L, 1032L, 1033L, 1034L, 1035L, 1036L, 1037L, 1038L, 1039L, 1040L, 1041L, 1042L, 1043L, 1044L, 1045L, 1046L, 1047L, 1048L, 1049L, 1050L, 1051L, 1052L, 1053L, 1054L, 1055L, 1056L, 1057L, 1058L, 1059L, 1060L, 1061L, 1062L, 1063L, 1064L, 1065L, 1066L, 1067L, 1068L, 1069L, 1070L, 1071L, 1072L, 1073L, 1074L, 1075L, 1076L, 1077L, 1078L, 1079L, 1080L, 1081L, 1082L, 1083L, 1084L, 1085L, 1086L, 1087L, 1088L, 1089L, 1090L, 1091L, 1092L, 1093L, 1094L, 1095L, 1096L, 1097L, 1098L, 1099L, 1100L, 1101L, 1102L, 1103L, 1104L, 1105L, 1106L, 1107L, 1108L, 1109L, 1110L, 1111L, 1112L, 1113L, 1114L, 1115L, 1116L, 1117L, 1118L, 1119L, 1120L, 1121L, 1122L, 1123L, 1124L, 1125L, 1126L, 1127L, 1128L, 1129L, 1130L, 1131L, 1132L, 1133L, 1134L, 1135L, 1136L, 1137L, 1138L, 1139L, 1140L, 1141L, 1142L, 1143L, 1144L, 1145L, 1146L, 1147L, 1148L, 1149L, 1150L, 1151L, 1152L, 1153L, 1154L, 1155L, 1156L, 1157L, 1158L, 1159L, 1160L, 1161L, 1162L, 1163L, 1164L, 1165L, 1166L, 1167L, 1168L, 1169L, 1170L, 1171L, 1172L, 1173L, 1174L, 1175L, 1176L, 1177L, 1178L, 1179L, 1180L, 1181L, 1182L, 1183L, 1184L, 1185L, 1186L, 1187L, 1188L, 1189L, 1190L, 1191L, 1192L, 1193L, 1194L, 1195L, 1196L, 1197L, 1198L, 1199L, 1200L, 1201L, 1202L, 1203L, 1204L, 1205L, 1206L, 1207L, 1208L, 1209L, 1210L, 1211L, 1212L, 1213L, 1214L, 1215L, 1216L, 1217L, 1218L, 1219L, 1220L, 1221L, 1222L, 1223L, 1224L, 1225L, 1226L, 1227L, 1228L, 1229L, 1230L, 1231L, 1232L, 1233L, 1234L, 1235L, 1236L, 1237L, 1238L, 1239L, 1240L, 1241L, 1242L, 1243L, 1244L, 1245L, 1246L, 1247L, 1248L, 1249L, 1250L, 1251L, 1252L, 1253L, 1254L, 1255L, 1256L, 1257L, 1258L, 1259L, 1260L, 1261L, 1262L, 1263L, 1264L, 1265L, 1266L, 1267L, 1268L, 1269L, 1270L, 1271L, 1272L, 1273L, 1274L, 1275L, 1276L, 1277L, 1278L, 1279L, 1280L, 1281L, 1282L, 1283L, 1284L, 1285L, 1286L, 1287L, 1288L, 1289L, 1290L, 1291L, 1292L, 1293L, 1294L, 1295L, 1296L, 1L), class = "data.frame"), nbnode = 1296L, dict = structure(list(    ref = c("2", "3", "4", "5", "6", "7", "8", "9", "10", "11",     "12", "13", "14", "15", "16", "17", "18", "19", "20", "21",     "22", "23", "24", "25", "26", "27", "28", "29", "30", "31",     "32", "33", "34", "35", "36", "37", "38", "39", "40", "41",     "42", "43", "44", "45", "46", "47", "48", "49", "50", "51",     "52", "53", "54", "55", "56", "57", 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"198", "199", "200",     "201", "202", "203", "204", "205", "206", "207", "208", "209",     "210", "211", "212", "213", "214", "215", "216", "217", "218",     "219", "220", "221", "222", "223", "224", "225", "226", "227",     "228", "229", "230", "231", "232", "233", "234", "235", "236",     "237", "238", "239", "240", "241", "242", "243", "244", "245",     "246", "247", "248", "249", "250", "251", "252", "253", "254",     "255", "256", "257", "258", "259", "260", "261", "262", "263",     "264", "265", "266", "267", "268", "269", "270", "271", "272",     "273", "274", "275", "276", "277", "278", "279", "280", "281",     "282", "283", "284", "285", "286", "287", "288", "289", "290",     "291", "292", "293", "294", "295", "296", "297", "298", "299",     "300", "301", "302", "303", "304", "305", "306", "307", "308",     "309", "310", "311", "312", "313", "314", "315", "316", "317",     "318", "319", "320", "321", "322", "323", "324", "325", "326",     "327", "328", "329", "330", "331", "332", "333", "334", "335",     "336", "337", "338", "339", "340", "341", "342", "343", "344",     "345", "346", "347", "348", "349", "350", "351", "352", "353",     "354", "355", "356", "357", "358", "359", "360", "361", "362",     "363", "364", "365", "366", "367", "368", "369", "370", "371",     "372", "373", "374", "375", "376", "377", "378", "379", "380",     "381", "382", "383", "384", "385", "386", "387", "388", "389",     "390", "391", "392", "393", "394", "395", "396", "397", "398",     "399", "400", "401", "402", "403", "404", "405", "406", "407",     "408", "409", "410", "411", "412", "413", "414", "415", "416",     "417", "418", "419", "420", "421", "422", "423", "424", "425",     "426", "427", "428", "429", "430", "431", "432", "433", "434",     "435", "436", "437", "438", "439", "440", "441", "442", "443",     "444", "445", "446", "447", "448", "449", "450", "451", "452",     "453", "454", "455", "456", "457", "458", "459", "460", "461",     "462", "463", "464", "465", "466", "467", "468", "469", "470",     "471", "472", "473", "474", "475", "476", "477", "478", "479",     "480", "481", "482", "483", "484", "485", "486", "487", "488",     "489", "490", "491", "492", "493", "494", "495", "496", "497",     "498", "499", "500", "501", "502", "503", "504", "505", "506",     "507", "508", "509", "510", "511", "512", "513", "514", "515",     "516", "517", "518", "519", "520", "521", "522", "523", "524",     "525", "526", "527", "528", "529", "530", "531", "532", "533",     "534", "535", "536", "537", "538", "539", "540", "541", "542",     "543", "544", "545", "546", "547", "548", "549", "550", "551",     "552", "553", "554", "555", "556", "557", "558", "559", "560",     "561", "562", "563", "564", "565", "566", "567", "568", "569",     "570", "571", "572", "573", "574", "575", "576", "577", "578",     "579", "580", "581", "582", "583", "584", "585", "586", "587",     "588", "589", "590", "591", "592", "593", "594", "595", "596",     "597", "598", "599", "600", "601", "602", "603", "604", "605",     "606", "607", "608", "609", "610", "611", "612", "613", "614",     "615", "616", "617", "618", "619", "620", "621", "622", "623",     "624", "625", "626", "627", "628", "629", "630", "631", "632",     "633", "634", "635", "636", "637", "638", "639", "640", "641",     "642", "643", "644", "645", "646", "647", "648", "649", "650",     "651", "652", "653", "654", "655", "656", "657", "658", "659",     "660", "661", "662", "663", "664", "665", "666", "667", "668",     "669", "670", "671", "672", "673", "674", "675", "676", "677",     "678", "679", "680", "681", "682", "683", "684", "685", "686",     "687", "688", "689", "690", "691", "692", "693", "694", "695",     "696", "697", "698", "699", "700", "701", "702", "703", "704",     "705", "706", "707", "708", "709", "710", "711", "712", "713",     "714", "715", "716", "717", "718", "719", "720", "721", "722",     "723", "724", "725", "726", "727", "728", "729", "730", "731",     "732", "733", "734", "735", "736", "737", "738", "739", "740",     "741", "742", "743", "744", "745", "746", "747", "748", "749",     "750", "751", "752", "753", "754", "755", "756", "757", "758",     "759", "760", "761", "762", "763", "764", "765", "766", "767",     "768", "769", "770", "771", "772", "773", "774", "775", "776",     "777", "778", "779", "780", "781", "782", "783", "784", "785",     "786", "787", "788", "789", "790", "791", "792", "793", "794",     "795", "796", "797", "798", "799", "800", "801", "802", "803",     "804", "805", "806", "807", "808", "809", "810", "811", "812",     "813", "814", "815", "816", "817", "818", "819", "820", "821",     "822", "823", "824", "825", "826", "827", "828", "829", "830",     "831", "832", "833", "834", "835", "836", "837", "838", "839",     "840", "841", "842", "843", "844", "845", "846", "847", "848",     "849", "850", "851", "852", "853", "854", "855", "856", "857",     "858", "859", "860", "861", "862", "863", "864", "865", "866",     "867", "868", "869", "870", "871", "872", "873", "874", "875",     "876", "877", "878", "879", "880", "881", "882", "883", "884",     "885", "886", "887", "888", "889", "890", "891", "892", "893",     "894", "895", "896", "897", "898", "899", "900", "901", "902",     "903", "904", "905", "906", "907", "908", "909", "910", "911",     "912", "913", "914", "915", "916", "917", "918", "919", "920",     "921", "922", "923", "924", "925", "926", "927", "928", "929",     "930", "931", "932", "933", "934", "935", "936", "937", "938",     "939", "940", "941", "942", "943", "944", "945", "946", "947",     "948", "949", "950", "951", "952", "953", "954", "955", "956",     "957", "958", "959", "960", "961", "962", "963", "964", "965",     "966", "967", "968", "969", "970", "971", "972", "973", "974",     "975", "976", "977", "978", "979", "980", "981", "982", "983",     "984", "985", "986", "987", "988", "989", "990", "991", "992",     "993", "994", "995", "996", "997", "998", "999", "1000",     "1001", "1002", "1003", "1004", "1005", "1006", "1007", "1008",     "1009", "1010", "1011", "1012", "1013", "1014", "1015", "1016",     "1017", "1018", "1019", "1020", "1021", "1022", "1023", "1024",     "1025", "1026", "1027", "1028", "1029", "1030", "1031", "1032",     "1033", "1034", "1035", "1036", "1037", "1038", "1039", "1040",     "1041", "1042", "1043", "1044", "1045", "1046", "1047", "1048",     "1049", "1050", "1051", "1052", "1053", "1054", "1055", "1056",     "1057", "1058", "1059", "1060", "1061", "1062", "1063", "1064",     "1065", "1066", "1067", "1068", "1069", "1070", "1071", "1072",     "1073", "1074", "1075", "1076", "1077", "1078", "1079", "1080",     "1081", "1082", "1083", "1084", "1085", "1086", "1087", "1088",     "1089", "1090", "1091", "1092", "1093", "1094", "1095", "1096",     "1097", "1098", "1099", "1100", "1101", "1102", "1103", "1104",     "1105", "1106", "1107", "1108", "1109", "1110", "1111", "1112",     "1113", "1114", "1115", "1116", "1117", "1118", "1119", "1120",     "1121", "1122", "1123", "1124", "1125", "1126", "1127", "1128",     "1129", "1130", "1131", "1132", "1133", "1134", "1135", "1136",     "1137", "1138", "1139", "1140", "1141", "1142", "1143", "1144",     "1145", "1146", "1147", "1148", "1149", "1150", "1151", "1152",     "1153", "1154", "1155", "1156", "1157", "1158", "1159", "1160",     "1161", "1162", "1163", "1164", "1165", "1166", "1167", "1168",     "1169", "1170", "1171", "1172", "1173", "1174", "1175", "1176",     "1177", "1178", "1179", "1180", "1181", "1182", "1183", "1184",     "1185", "1186", "1187", "1188", "1189", "1190", "1191", "1192",     "1193", "1194", "1195", "1196", "1197", "1198", "1199", "1200",     "1201", "1202", "1203", "1204", "1205", "1206", "1207", "1208",     "1209", "1210", "1211", "1212", "1213", "1214", "1215", "1216",     "1217", "1218", "1219", "1220", "1221", "1222", "1223", "1224",     "1225", "1226", "1227", "1228", "1229", "1230", "1231", "1232",     "1233", "1234", "1235", "1236", "1237", "1238", "1239", "1240",     "1241", "1242", "1243", "1244", "1245", "1246", "1247", "1248",     "1249", "1250", "1251", "1252", "1253", "1254", "1255", "1256",     "1257", "1258", "1259", "1260", "1261", "1262", "1263", "1264",     "1265", "1266", "1267", "1268", "1269", "1270", "1271", "1272",     "1273", "1274", "1275", "1276", "1277", "1278", "1279", "1280",     "1281", "1282", "1283", "1284", "1285", "1286", "1287", "1288",     "1289", "1290", "1291", "1292", "1293", "1294", "1295", "1296",     "1"), id = 0:1295), class = "data.frame", row.names = c(NA, -1296L))), from = NA_real_, to = c(72L, 599L, 640L, 793L, 794L, 829L, 830L, 879L, 880L, 900L, 910L, 911L, 913L, 914L, 915L, 916L, 917L, 918L, 933L, 934L, 935L, 936L, 945L, 946L, 947L, 948L, 949L, 950L, 951L, 967L, 968L, 971L, 972L, 981L, 985L, 1003L, 1016L, 1017L, 1021L, 1039L, 1051L, 1052L, 1053L, 1054L, 1055L, 1078L, 1079L, 1080L, 1086L, 1087L, 1088L, 1146L, 1147L, 1148L, 1176L, 1179L, 1180L, 1181L, 1208L, 1217L, 1242L, 1275L, 1276L, 1277L), algorithm = "phast", allcores = FALSE): NAs are not allowed in origin/destination nodes
    # This option is slower: algorithm duration during testing ~0.73 minutes
+
    update_history_from_time_step
    
+
    If update_history is provided, update_history_from_time_step is an integer that defines the time step (i.e., element in update_history) from which to restart the algorithm. If provided, the algorithm continues from this point, by taking the starting positions for n particles from update_history[[update_history_from_time_step]]$id_current.
    
 
-#### Example (5): Implement algorithm using shortest distances with mobility restriction
-out_5 <- pf(record = record,
-            origin  = xy,
-            calc_distance = "lcp",
-            bathy = surface,
-            calc_movement_pr = pf_setup_movement_pr,
-            mobility = 250,
-            n = 10L,
-            seed = 1)
-
    #> flapper::pf() called (@ 2022-06-17 10:06:42)... 
-#> ... Setting up function... 
-#> ... Setting up cost-surface for calc_distance = 'lcp'... 
-#> flapper::lcp_costs() called (@ 2022-06-17 10:06:42)... 
-#> ... Defining transition matrices... 
    #> Warning: transition function gives negative values
    #> ... Calculating distance matrices... 
-#> ... Assembling LCP costs... 
-#> ... flapper::lcp_costs() call completed (@ 2022-06-17 10:06:42) after ~0 minutes. 
-#> flapper::lcp_graph_surface() called (@ 2022-06-17 10:06:42)... 
-#> ... Defining nodes, edges and costs to make graph... 
-#> ... Constructing graph object... 
-#> ... flapper::lcp_graph_surface() call completed (@ 2022-06-17 10:06:42) after ~0 minutes. 
-#> ... Determining the set of possible starting locations (t = 1)... 
    #> Error in .local(obj, ...): NA values in coordinates
    # Algorithm duration during testing ~0.63 minutes
-# With shortest distances, the mobility restriction makes more difference
-# ... in improving the computation time, because calculations are more involved.
 
-#### Example (6): Parallelisation for Euclidean distances is via cl argument
-# ... which implements parallelisation across paths. This is only implemented
-# ... for calc_distance_euclid_fast = FALSE, which is rarely desirable.
-out_6 <- pf(record = record,
-            origin  = xy,
-            calc_distance = "euclid",
-            calc_distance_euclid_fast = FALSE,
-            calc_movement_pr = pf_setup_movement_pr,
-            mobility = 250,
-            n = 10L,
-            cl = parallel::makeCluster(2L),
-            seed = 1)
-
    #> flapper::pf() called (@ 2022-06-17 10:06:42)... 
-#> ... Setting up function... 
-#> ... Determining the set of possible starting locations (t = 1)... 
    #> Error in .local(obj, ...): NA values in coordinates
    
-#### Example (7): Parallelisation for shortest distances is usually best
-# ... via use_all_cores = TRUE
-# However, the benefits of parallelisation depend on the number of least-cost
-# ... paths calculations that need to be performed, which depends on the size
-# ... of bathy, and may be minimal (or negative) for small areas.
-out_7 <- pf(record = record,
-            origin  = xy,
-            calc_distance = "lcp",
-            bathy = surface,
-            calc_movement_pr = pf_setup_movement_pr,
-            mobility = 250,
-            n = 10L,
-            use_all_cores = TRUE,
-            seed = 1)
-
    #> flapper::pf() called (@ 2022-06-17 10:06:43)... 
-#> ... Setting up function... 
-#> ... Setting up cost-surface for calc_distance = 'lcp'... 
-#> flapper::lcp_costs() called (@ 2022-06-17 10:06:43)... 
-#> ... Defining transition matrices... 
    #> Warning: transition function gives negative values
    #> ... Calculating distance matrices... 
-#> ... Assembling LCP costs... 
-#> ... flapper::lcp_costs() call completed (@ 2022-06-17 10:06:43) after ~0 minutes. 
-#> flapper::lcp_graph_surface() called (@ 2022-06-17 10:06:43)... 
-#> ... Defining nodes, edges and costs to make graph... 
-#> ... Constructing graph object... 
-#> ... flapper::lcp_graph_surface() call completed (@ 2022-06-17 10:06:43) after ~0 minutes. 
-#> ... Determining the set of possible starting locations (t = 1)... 
    #> Error in .local(obj, ...): NA values in coordinates
    # But the speed benefits in this case are minimal.
-# Algorithm duration during testing ~0.61 minutes.
+
    write_history
    
+
    (optional) A named list, passed to saveRDS, to save a dataframe of the sampled particles at each time step to file. The `file' argument should be the directory in which to save files. Files are named by time steps as `pf_1', `pf_2' and so on.
    
 
-#### Example (8): Extend the movement model via variables in data
-# For example, you could assign behavioural 'states', such as resting versus
-# ... non resting. Here, we use information on the change in depth to restrict
-# ... movement, based on the idea that large changes in depth correlate
-# ... with shorter horizontal movements. This is appropriate for calc_distance =
-# ... 'euclid', which does not account for movement over the bathymetry and
-# ... may be quicker than implementing least-cost distances.
-## Define absolute vertical activity (VA)
-# For the last observation, we need to assign a VA of 0 to ensure that
-# ... we do not include NAs in the calculations.
-depth$va_abs <- abs(depth$depth - dplyr::lead(depth$depth))
-depth$va_abs[nrow(depth)] <- 0
-## Define movement model, depending on distance and a dataframe with other information
-setup_movement_pr <- function(distance, data){
-  beta <- -0.05 + -0.005 * data$va_abs
-  pr <- stats::plogis(10 + distance * beta)
-  pr[distance > 500] <- 0
-  return(pr)
-}
-## Examine the movement model with distance and VA
-pr <- setup_movement_pr(1:1000, data.frame(va_abs = 0))
-prettyGraphics::pretty_plot(pr, type = "n")
-
    #> 'y' argument not supplied; 'x' is plotted against an index.
    for(va_abs in seq(min(depth$va_abs), max(depth$va_abs), length.out = 5)){
-  lines(1:1000, setup_movement_pr(1:1000, data.frame(va_abs = va_abs)), lwd = 0.25 + va_abs/5)
-}
-
    ## Implement algorithm with adjusted movement model
-out_8 <- pf(record = record,
-            data = depth,
-            origin  = xy,
-            calc_distance = "euclid",
-            calc_movement_pr = setup_movement_pr,
-            mobility = 250,
-            n = 10L,
-            seed = 1)
-
    #> flapper::pf() called (@ 2022-06-17 10:06:43)... 
-#> ... Setting up function... 
-#> ... Determining the set of possible starting locations (t = 1)... 
    #> Error in .local(obj, ...): NA values in coordinates
    
-#### Dealing with convergence failures.
-# The algorithm can fail to converge. There are a variety of options
-# ... that can be trialled to deal with this:
-# ... ... Updating the outputs from an earlier time step
-# ... ... Increase the number of particles
-# ... ... Resampling
-# ... ... Reduce the number of temporal resolution
-# ... ... Tweak movement model, depth error, mobility etc.
 
-#### Example (9): Update particle histories from an earlier time step
-# ... via update_history and update_history_from_time_step
-out_9 <- pf(record = record,
-            data = depth,
-            origin  = xy,
-            calc_distance = "euclid",
-            calc_movement_pr = setup_movement_pr,
-            mobility = 250,
-            n = 10L,
-            seed = 1,
-            update_history = out_8$history,
-            update_history_from_time_step = 5)
-
    #> flapper::pf() called (@ 2022-06-17 10:06:43)... 
-#> ... Setting up function... 
    #> Error in pf(record = record, data = depth, origin = xy, calc_distance = "euclid",     calc_movement_pr = setup_movement_pr, mobility = 250, n = 10L,     seed = 1, update_history = out_8$history, update_history_from_time_step = 5): object 'out_8' not found
    
-#### Example (10): Implement re-sampling via resample
-# Here, for demonstration purposes, we implement the algorithm from
-# ... scratch with the original movement model, this time re-sampling
-# ... possible positions with equal probability if there are
-# ... fewer than 10 unique positions.
-# ... (Normally resample would be less than n.)
-# In this example, the function re-samples candidate starting positions at t = 9
-out_10 <- pf(record = record,
-             data = depth,
-             origin  = xy,
-             calc_distance = "euclid",
-             calc_movement_pr = pf_setup_movement_pr,
-             mobility = 250,
-             n = 10L,
-             resample = 10,
-             seed = 1)
-
    #> flapper::pf() called (@ 2022-06-17 10:06:43)... 
-#> ... Setting up function... 
-#> ... Determining the set of possible starting locations (t = 1)... 
    #> Error in .local(obj, ...): NA values in coordinates
    
-#### Example (10): A simulation workflow
-# This example provides a simulation workflow for comparing simulated and
-# ... reconstructed paths. Specifically, we simulate movement in an area,
-# ... so that we know the 'true' path. We then implement the DCPF algorithm
-# ... to reconstruct possible paths
-# ... and compare the true and reconstructed paths.
+
    cl, use_all_cores
    
+
    (optional) Parallelisation options. These can be implemented for the approaches that consider particles iteratively (i.e., calc_distance = "euclid" with calc_distance_euclid_fast = FALSE, or calc_distance = "lcp"). The algorithm can be parallelised within time steps over (1) particles via cl (an integer defining the number of child processes (ignored on Windows) or a cluster object created by makeCluster (see pblapply)) or (2) within particles for the calculation of shortest distances (if calc_distance = "lcp") via a logical input (TRUE) to use_all_cores. For calc_distance = "euclid", parallelisation is typically only beneficial for relatively large numbers of particles, because the substantial computation overhead associated with parallelisation across paths at each time step is substantial. For calc_distance = "lcp", use_all_cores = TRUE is typically a better option for parallelisation; however, this may only be beneficial if mobility relatively large. At present, parallelisation is not very effective, especially if a cluster is supplied, and may be slower.
    
 
-## (A) Set seed for reproducibility
-seed <- 2021
-set.seed(seed)
 
-## (B) Define area for simulation
-# Here, we use the sample area as above, but reduce the resolution
-# ... for example speed.
-dat_gebco_planar <- raster::raster(crs = raster::crs(dat_gebco),
-                                   ext = raster::extent(dat_gebco),
-                                   resolution = 25)
-dat_gebco_planar <- raster::resample(dat_gebco, dat_gebco_planar, method = "bilinear")
-
    #> Warning: aggregation factor is larger than the number of columns
    #> Warning: aggregation factor is larger than the number of rows
    # Define 'sea' for movement simulation
-dat_coast <- raster::crop(dat_coast, raster::extent(dat_gebco))
-dat_sea <- invert_poly(dat_coast)
-
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'obj' in selecting a method for function 'coordinates': unable to find an inherited method for function ‘extent’ for signature ‘"NULL"’
    # Visualise area
-prettyGraphics::pretty_map(dat_gebco_planar,
-                           add_rasters = list(x = dat_gebco_planar),
-                           add_polys = list(x = dat_sea))
-
    #> Error in prettyGraphics::pretty_map(dat_gebco_planar, add_rasters = list(x = dat_gebco_planar),     add_polys = list(x = dat_sea)): object 'dat_sea' not found
    
-## (C) Simulate movement path
-# Define movement parameters
-sim_steps <- function(...) stats::rgamma(1, shape = 15, scale = 5)
-prettyGraphics::pretty_hist(stats::rgamma(10000, shape = 15, scale = 5), breaks = 100)
-
    # Define animal's origin
-origin_sim <- sp::spsample(dat_sea, n = 1, type = "random")
-
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'spsample': object 'dat_sea' not found
    origin_sim <- sp::coordinates(origin_sim)
-
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'obj' in selecting a method for function 'coordinates': object 'origin_sim' not found
    # Simulate path
-path_sim <- sim_path_sa(n = 10,
-                        p_1 = origin_sim,
-                        area = dat_sea,
-                        sim_step = sim_steps,
-                        add_rasters = list(x = dat_gebco_planar),
-                        seed = seed)
-
    #> flapper::sim_path_sa() called (@ 2022-06-17 10:06:43)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> 
  |                                                                            
  |                                                                      |   0%
    #> Error in sim_path_sa(n = 10, p_1 = origin_sim, area = dat_sea, sim_step = sim_steps,     add_rasters = list(x = dat_gebco_planar), seed = seed): object 'origin_sim' not found
    # Get resultant depth time series
-path_sim <- path_sim$xy_mat
-
    #> Error in eval(expr, envir, enclos): object 'path_sim' not found
    path_sim <- data.frame(path_id = 1,
-                       cell_id = raster::cellFromXY(dat_gebco_planar, path_sim),
-                       cell_x = path_sim[, 1],
-                       cell_y = path_sim[, 2],
-                       timestep = 1:nrow(path_sim))
-
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'xy' in selecting a method for function 'cellFromXY': object 'path_sim' not found
    path_sim$cell_z <- raster::extract(dat_gebco_planar, path_sim$cell_id)
-
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'y' in selecting a method for function 'extract': object 'path_sim' not found
    prettyGraphics::pretty_plot(path_sim$cell_z, type = "l")
-
    #> Error in prettyGraphics::pretty_plot(path_sim$cell_z, type = "l"): object 'path_sim' not found
    # Check simulated movements on the scale of the grid
-sp::spDists(raster::xyFromCell(dat_gebco_planar, path_sim$cell_id),
-            segments = TRUE)
-
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'cell' in selecting a method for function 'xyFromCell': object 'path_sim' not found
    # Simulate 'observed' depth time series given some error
-# ... For illustration, we will make the error smaller in this example
-cde <- function(...) matrix(c(-2.5, 2.5), nrow = 2)
-depth_obs <- runif(length(path_sim$cell_z),
-                   path_sim$cell_z + cde(path_sim$cell_z)[1],
-                   path_sim$cell_z + cde(path_sim$cell_z)[2])
-
    #> Error in runif(length(path_sim$cell_z), path_sim$cell_z + cde(path_sim$cell_z)[1],     path_sim$cell_z + cde(path_sim$cell_z)[2]): object 'path_sim' not found
    depth_obs <- data.frame(depth = depth_obs)
-
    #> Error in data.frame(depth = depth_obs): object 'depth_obs' not found
    # Compare 'true' and 'observed' depth time series
-pf_plot_1d(path_sim, depth_obs,
-           type = "b", cex = 0.5,
-           add_lines = list(col = "royalblue", type = "l"))
-
    #> Error in check_names(input = archival, req = c("depth")): object 'depth_obs' not found
    
-## Implement dc() on 'observed' time series
-dc_out <- dc(archival = depth_obs,
-             bathy = dat_gebco_planar,
-             calc_depth_error = cde,
-             save_record_spatial = NULL)
-
    #> flapper::dc() called (@ 2022-06-17 10:06:43)... 
-#> ... Setting up function... 
    #> Error in dc(archival = depth_obs, bathy = dat_gebco_planar, calc_depth_error = cde,     save_record_spatial = NULL): object 'depth_obs' not found
    
-## Implement pf() on the results from dc()
-# We will assume that the origin was known.
-# ... We will mostly use the default options.
-history_dcpf <-
-  pf(record = acdc_access_maps(acdc_simplify(dc_out, type = "dc"),
-                               type = "map_timestep"),
-     origin = origin_sim,
-     calc_distance = "euclid",
-     mobility = 200,
-     n = 10L)
-
    #> flapper::pf() called (@ 2022-06-17 10:06:43)... 
-#> ... Setting up function... 
    #> acdc_simplify() implemented for type = 'dc'.
    #> Error in pf(record = acdc_access_maps(acdc_simplify(dc_out, type = "dc"),     type = "map_timestep"), origin = origin_sim, calc_distance = "euclid",     mobility = 200, n = 10L): object 'origin_sim' not found
    
-## Visualise particle histories in relation to simulated paths
-# Here, each plot shows the particles sampled at a particular time step
-# ... The green area shows areas of the requisite depth at that time step and the
-# ... particles show sampled locations at that time step. The simulated path
-# ... is shown in black.
-pp <- graphics::par(mfrow = c(3, 4))
-pf_plot_history(history_dcpf,
-                add_particles = list(pch = 21),
-                add_paths = list(x = path_sim$cell_x, path_sim$cell_y, length = 0.05),
-                xlim = range(path_sim$cell_x), ylim = range(path_sim$cell_y),
-                crop_spatial = TRUE,
-                prompt = FALSE)
-
    #> Error in pf_plot_history(history_dcpf, add_particles = list(pch = 21),     add_paths = list(x = path_sim$cell_x, path_sim$cell_y, length = 0.05),     xlim = range(path_sim$cell_x), ylim = range(path_sim$cell_y),     crop_spatial = TRUE, prompt = FALSE): object 'history_dcpf' not found
    graphics::par(pp)
+
    seed
    
+
    (optional) An integer to define the seed for reproducible simulations (see set.seed).
    
 
-## Assemble paths
-path_dcpf <- pf_simplify(history_dcpf, bathy = dat_gebco_planar)
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:06:43)... 
    #> Error in pf_simplify(history_dcpf, bathy = dat_gebco_planar): object 'history_dcpf' not found
    
-## Compare reconstructed versus observed depth time series
-pf_plot_1d(path_dcpf, depth_obs)
-
    #> Error in check_names(input = archival, req = c("depth")): object 'depth_obs' not found
    
-## Show that the distances between sequential positions are within the restrictions
-# ... of the movement model
-require(rlang)
-
    #> Loading required package: rlang
    path_dcpf <-
-  path_dcpf %>%
-  dplyr::group_by(.data$path_id) %>%
-  dplyr::mutate(cell_x2 = dplyr::lag(.data$cell_x),
-                cell_y2 = dplyr::lag(.data$cell_y),
-                dist_1 = sqrt((.data$cell_x2 - .data$cell_x)^2 +
-                                (.data$cell_y2 -.data$ cell_y)^2))
-
    #> Error in dplyr::group_by(., .data$path_id): object 'path_dcpf' not found
    path_dcpf
-
    #> Error in eval(expr, envir, enclos): object 'path_dcpf' not found
    range(path_dcpf$dist_1, na.rm =TRUE)
-
    #> Error in eval(expr, envir, enclos): object 'path_dcpf' not found
    
-## Visualise paths
-# Zoom around path
-xlim <- range(c(path_sim$cell_x, path_dcpf$cell_x), na.rm = TRUE)
-
    #> Error in eval(expr, envir, enclos): object 'path_sim' not found
    ylim <- range(c(path_sim$cell_y, path_dcpf$cell_y), na.rm = TRUE)
-
    #> Error in eval(expr, envir, enclos): object 'path_sim' not found
    boundaries <- raster::extent(xlim, ylim)
-
    #> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'extent': object 'xlim' not found
    area <- raster::crop(dat_gebco_planar, boundaries)
-
    #> Error in .local(x, y, ...): extents do not overlap
    # Define function to add simulated path for comparison
-add_paths_sim <-
-  function() prettyGraphics::add_sp_path(path_sim$cell_x, path_sim$cell_y,
-                                         lwd = 2, length = 0.01)
-# Make plots
-if(interactive()){
-  pf_plot_2d(path_dcpf, area, add_paths = list(length = 0.05),
-             add_additional = add_paths_sim,
-             prompt = TRUE)
-}
 
-#### Example (11): Write a dataframe of sampled particles to file at each time step
-# Define directory in which to save files
-root <- paste0(tempdir(), "/pf/")
-dir.create(root)
-# Implement PF, writing the history of particle samples at each time step
-out_11 <- pf(record = record,
-             origin  = xy,
-             write_history = list(file = root))
-
    #> flapper::pf() called (@ 2022-06-17 10:06:43)... 
-#> ... Setting up function... 
-#> ... Determining the set of possible starting locations (t = 1)... 
-#> ... Implementing algorithm iteratively over time steps... 
-#> ... ... Time = 1... 
    #> The probability of all cells at time 1 is 0. Either (1) the algorithm has been 'unlucky' and all n = 10 particles up to this point have led to 'dead ends', (2) the mobility model ('mobility') is too limiting and/or (3) other model assumptions have been violated. The function will now stop, returning outputs up until this point.
    # Read the record into R
-history_from_file <- lapply(pf_access_history_files(root), readRDS)
-
    #> Error in pf_access_history_files(root): File naming structure is unrecognised.TRUE
    # Show that the history recorded in 'out_11' is the same as that recorded by the saved files
-length(out_11$history); length(history_from_file)
-
    #> [1] 0
    #> Error in eval(expr, envir, enclos): object 'history_from_file' not found
    #> [1] 0
    identical(out_11$history, history_from_file)
-
    #> Error in identical(out_11$history, history_from_file): object 'history_from_file' not found
    cbind(out_11$history[[1]],
-      history_from_file[[1]])
-
    #> Error in out_11$history[[1]]: subscript out of bounds
    
-
    +
    verbose
    +

    A logical variable that defines whether or not to print messages to the console or to file to relay function progress. If con = "", messages are printed to the console; otherwise, they are written to file (see below).

    + + +
    con
    +

    If verbose = TRUE, con is character string that defines how messages relaying function progress are returned. If con = "", messages are printed to the console (unless redirected by sink). Otherwise, con defines the full pathway to a .txt file (which can be created on-the-fly) into which messages are written to relay function progress. This approach, rather than printing to the console, is recommended for clarity, speed and debugging.

    + + +
    optimisers
    +

    A named list of optimisation controls from pf_setup_optimisers.

    + +
    +
    +

    Value

    + + +

    The function returns a pf_archive-class object. This is a named list that includes the parameters used to generate function outputs (`args') and the particles sampled at each time step (`history'). The latter can be assembled into a dataframe of movement paths via pf_simplify.

    +
    +
    +

    Details

    + +
    +

    Background

    +

    This function implements a widely applicable particle simulation and filtering based approach to refine maps of possible locations of an individual through time via the incorporation of a movement model that facilitates the reconstruction of movement paths. Within flapper, the acoustic-container (AC), depth-contour (DC) and acoustic-container depth-contour (ACDC) algorithms, which define the possible locations of an individual through time based on acoustic containers and/or depth contours, can be passed through a this process, resulting in the DCPF, ACPF and ACDCPF algorithms.

    • ACPF. The ACPF algorithm combines the AC algorithm with particle filtering. This is designed to simulate possible movement paths and emergent patterns of space use in passive acoustic telemetry arrays. This algorithm is widely applicable.

      • +

    • DCPF. The DCPF algorithm combines the DC algorithm with particle filtering. This is designed to simulate possible movement paths of a tagged animal over the seabed, given a regular sequence of depth observations (archival), the bathymetry (bathy) over which movement occurred and a movement model (calc_movement_pr) that specifies the probability of movement from a given location to any other, given the distance between them (and any other pre-defined time-dependent parameters in archival). The function was motivated by small scale applications concerning the reconstruction of possible movement paths of flapper skate (Dipturus intermedius) tagged with archival tags, following capture and release in a given location, for short-periods of time post-release.

      • +

    • ACDCPF. The ACDCPF algorithm combines the ACDC algorithm with particle filtering. For tagged animals with acoustic and archival data, this algorithm is designed to reconstruct fine-scale movement paths and emergent patterns of space use across an area.

      • +
    + +
    +

    Methods

    +

    At the first time step, n starting points (`particles') are selected from the set of possible locations of the individual. If an origin is specified, this selection can be biased towards cells near the origin by the movement model. From each starting position, the Euclidean or shortest distances to cells in which the individual could have been located at the next time step are calculated and passed to a movement model that assigns movement probabilities to each cell. Since movement probabilities are likely to be behaviourally dependent, the movement model can depend on time step-specific information specified in data. However, currently, the model cannot depend on sampled locations; therefore, at least under some conditions, the movement model will need to reflect the maximum distance that an individual could travel within the time period between depth observations, accounting for the possible effects of water currents and any other influences on swimming speed. Movement probabilities are combined with the 'intrinsic' probability associated with each location (as defined in the record), giving a holistic measure of the probability of movement into each cell. From the set of cells in which the individual could have been located with a probability of more than zero, n particles are sampled, with replacement and according to their probability, and taken as possible starting positions at the next time step. This process repeats until the end of the time series. Since locations are sampled from the set of possible locations at each time step, any restrictions on the individual's movement (e.g., from acoustic detections) incorporated within record are directly incorporated. The result is a set of simulated particles that represent possible locations of the individual at each time step, accounting for movement restrictions. This can be assembled into a set of movement paths over a surface that is consistent with the data and the model parameters via pf_simplify. While the number of particles is predetermined by n, more than n possible pathways may be defined by all of the combinations of sequential particle movements.

    +
    + +
    +

    Convergence

    +

    Algorithm convergence is not guaranteed. There are three main circumstances in which the algorithm may fail to return any paths that span the start to the end of the depth time series:

    1. Chance. All n paths may be `dead ends'. This possibility can be mitigated by increasing n.

      2. +

    2. Movement model. The movement model may be too limiting. This possibility can be mitigated by ensuring that the movement model realistically represents the probability that an individual can transition between cells given the distance between them. This may be guided by data on the study species or similar species. The movement model may need to account for the effect of water currents, which may increase maximum `swimming' speeds in some directions. (Unfortunately, spatially variable swimming speeds are not currently implemented.) If maximum swimming speeds are uncertain, implementing the algorithm over longer time series (e.g., every \(2^{nd}\) record), with a suitably relaxed movement model, may facilitate convergence if maximum speeds are unlikely to be maintained for long periods.

      3. +

    3. Other assumptions. The particle filtering process is based on pre-defined surfaces of the possible locations of the individual at each time step and the assumptions in the computation of these surfaces may be violated. For example, in the DC and ACDC algorithms. the depth error may be too restrictive, given the accuracy of the depth observations, the bathymetry data and the tidal height across an area.

      4. +

    In these scenarios, the function returns a message that it is about to fail and the results from the start of the algorithm until the current time step, before stopping.

    +
    + +
    +

    Computational considerations

    +

    This algorithm is computationally intensive. It is advisable that it is run initially with a small time series in a small area and a small number of particles. For larger datasets, there are some tricks that can improve computation time.

    • Temporal resolution. Reduce the temporal resolution of the record time series so that there are fewer time steps.

      • +

    • Bathymetric resolution. Reduce the resolution of records. For the DC or ACDC algorithms, this will require re-implementing dc or acdc with a lower resolution surface and propagating the additional error induced by this process via calc_depth_error (e.g., see process_surface) and then using the recomputed records in this function.

      • +

    • Mobility limits. Check whether or not setting mobility limits (mobility, mobility_from_origin) improves speed.

      • +

    • Distance calculations. This step is particularly slow because the distance from each location to many or all surrounding locations are calculated. To speed up this step, implement calc_distance = "euclid" with calc_distance_euclid_fast = TRUE. If necessary, interpolate least-cost paths after algorithm completion within pf_simplify or lcp_interp. In the future, a Markov chain Monte Carlo style approach may be implemented in which distances (and probabilities) for randomly selected `proposal' cells are calculated, with those cells then rejected or retained, rather than calculating distances to many or all surrounding cells, but this is unlikely to be faster in many settings.

      • +

    • Parallelisation. If the fast Euclidean distances method is not used, test alternative options for parallelisation. For the cl argument, specifying an integer on non-Windows platforms may be faster than a cluster from makeCluster (see pblapply). Parallelisation may be slower in some circumstances.

      • +
    + +
    +
    +

    See also

    +

    This routine builds on the AC (ac), (dc) and (acdc) algorithms. For the movement model, Euclidean distances are obtained from distanceFromPoints or shortest distances are obtained from lcp_from_point (via lcp_costs and lcp_graph_surface, unless calc_distance_graph is supplied). The default movement model applied to these distances is pf_setup_movement_pr. get_mvt_resting provides a means to assign resting/non-resting behaviour to time steps (in data) for behaviourally dependent movement models. Particle histories can be visualised with pf_plot_history and joined into paths via pf_simplify. For processed paths, shortest distances/paths between sequential locations can be interpolated via lcp_interp, which is a wrapper for the lcp_over_surface routine. This can be useful for checking whether the faster Euclidean distances method is acceptable and, if so, for post-hoc adjustments of movement probabilities based on shortest distances (see lcp_interp). Paths can be visualised with pf_plot_1d, pf_plot_2d and pf_plot_3d. The log-probability of the paths, given the movement model, can be calculated via pf_loglik.

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    + +
    +

    Examples

    + 
    #### Summary
+# In these examples, we consider an example depth time series, which we generate.
+# We use the DC algorithm to reconstruct the possible locations of the individual through time.
+# We then use particle filtering (the DCPF algorithm in this case) to refine maps of the
+# ... individuals possible location via the incorporation of a movement model. The
+# ... same principles apply to other algorithms e.g., AC and ACDC.
+
+#### Step (1): Generate some example movement time series over a surface
+
+## Sample species
+# In this example, we consider flapper skate (Dipturus intermedius)
+# ... off the west coast of Scotland.
+
+## Define a starting location (optional) in UTM coordinates
+xy <- matrix(c(708886.3, 6254404), ncol = 2)
+## Define 'observed' depth time series using absolute values
+# Imagine these are observations made every two minutes
+depth <- c(163.06, 159.71, 153.49, 147.04, 139.86, 127.19, 114.75,
+           99.44,  87.01,  78.16,  70.03,  60.23,  49.96,  35.39,
+           27.75,  20.13,  12.73,  11.32)
+depth <- data.frame(depth = depth)
+
+## Define surface over which movement occurred
+# We will use the example dat_gebco bathymetry dataset
+# This is relatively coarse in resolution, so we need to re-sample
+# ... the raster to generate a finer-resolution raster such that
+# ... our animal can transition between cells
+# ... in the duration between depth observations. For speed,
+# ... we will focus on a small area around the origin. We could
+# ... also process the raster in other ways (e.g., mask any areas of land)
+# ... to improve efficiency.
+surface    <- dat_gebco
+boundaries <- raster::extent(707884.6, 709884.6, 6253404, 6255404)
+blank      <- raster::raster(boundaries, res = c(5, 5))
+surface    <- raster::resample(surface, blank)
+#> Warning: aggregation factor is larger than the number of columns
+#> Warning: aggregation factor is larger than the number of rows
+#> Error in .intersectExtent(x, y, validate = TRUE): Objects do not intersect
+
+## Define depth error function
+# Because the bathymetry data is very coarse, and the bathymetry is
+# ... very complex in this region of Scotland, we have to
+# ... force a high depth error to be high in this example.
+# The calc_depth_error() function can depend on depth, but in this example
+# ... we assume the depth error is independent of depth.
+cde <- function(...) matrix(c(-30, 30), nrow = 2)
+
+## Define movement model
+# The default movement model is suitable, with skate moving typically
+# ... less than 200 m in a two-minute period.
+# You could use a separate movement model (and mobility restriction) for the origin
+# ... if necessary, but for brevity we don't implement that here.
+
+## Visualise movement surface, with starting location overlaid
+prettyGraphics::pretty_map(add_rasters = list(x = surface),
+                           add_points = list(x = xy),
+                           verbose = FALSE)
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
+
+
+#### Step (2): Use the DC algorithm to get individual's the possible locations
+dc_out <- dc(archival = depth,
+             bathy = surface,
+             calc_depth_error = cde,
+             save_record_spatial = NULL)
+#> flapper::dc() called (@ 2023-02-19 15:02:29)... 
+#> ... Setting up function... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> ... Implementing calc_depth_error()... 
+#> ... Plotting movement time series (for each chunk)... 
+
+#> ... Implementing algorithm over time steps... 
+#> ... flapper::dc() call completed (@ 2023-02-19 15:02:30) after ~0 minutes. 
+# Extract time-specific maps
+# ... Either directly for single chunk implementations of dc()
+record <- dc_out$archive$record
+record <- lapply(record, function(r) r$spatial[[1]]$map_timestep)
+# ... Or indirectly via acdc_simplify() in general
+dc_out_summary <- acdc_simplify(dc_out, type = "dc")
+#> acdc_simplify() implemented for type = 'dc'.
+record <- lapply(dc_out_summary$record, function(r) r$spatial[[1]]$map_timestep)
+# Plot maps
+lapply(record, function(r) raster::plot(r))
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+#> [[1]]
+#> NULL
+#> 
+#> [[2]]
+#> NULL
+#> 
+#> [[3]]
+#> NULL
+#> 
+#> [[4]]
+#> NULL
+#> 
+#> [[5]]
+#> NULL
+#> 
+#> [[6]]
+#> NULL
+#> 
+#> [[7]]
+#> NULL
+#> 
+#> [[8]]
+#> NULL
+#> 
+#> [[9]]
+#> NULL
+#> 
+#> [[10]]
+#> NULL
+#> 
+#> [[11]]
+#> NULL
+#> 
+#> [[12]]
+#> NULL
+#> 
+#> [[13]]
+#> NULL
+#> 
+#> [[14]]
+#> NULL
+#> 
+#> [[15]]
+#> NULL
+#> 
+#> [[16]]
+#> NULL
+#> 
+#> [[17]]
+#> NULL
+#> 
+#> [[18]]
+#> NULL
+#> 
+
+#### Example (1): Implement algorithm using default options
+out_1 <- pf(record = record,
+            origin  = xy,
+            calc_distance = "euclid",
+            calc_movement_pr = pf_setup_movement_pr,
+            n = 10L,
+            seed = 1)
+#> flapper::pf() called (@ 2023-02-19 15:02:30)... 
+#> ... Setting up function... 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> ... Implementing algorithm iteratively over time steps... 
+#> ... ... Time = 1... 
+#> The probability of all cells at time 1 is 0. Either (1) the algorithm has been 'unlucky' and all n = 10 particles up to this point have led to 'dead ends', (2) the mobility model ('mobility') is too limiting and/or (3) other model assumptions have been violated. The function will now stop, returning outputs up until this point.
+# The function returns a pf_archive-class object
+class(out_1)
+#> [1] "list"       "pf_archive"
+utils::str(out_1)
+#> List of 3
+#>  $ history: list()
+#>  $ method : chr "pf"
+#>  $ args   :List of 21
+#>   ..$ record                       :List of 18
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+#>   .. .. .. .. .. ..@ geotrans: num(0) 
+#>   .. .. .. .. .. ..@ transfun:function ()  
+#>   .. .. .. ..@ ncols   : int 36
+#>   .. .. .. ..@ nrows   : int 36
+#>   .. .. .. ..@ crs     :Formal class 'CRS' [package "sp"] with 1 slot
+#>   .. .. .. .. .. ..@ projargs: chr "+proj=longlat +datum=WGS84 +no_defs"
+#>   .. .. .. .. .. ..$ comment: chr "GEOGCRS[\"unknown\",\n    DATUM[\"World Geodetic System 1984\",\n        ELLIPSOID[\"WGS 84\",6378137,298.25722"| __truncated__
+#>   .. .. .. ..@ srs     : chr "GEOGCRS[\"unknown\",\n    DATUM[\"World Geodetic System 1984\",\n        ELLIPSOID[\"WGS 84\",6378137,298.25722"| __truncated__
+#>   .. .. .. ..@ history : list()
+#>   .. .. .. ..@ z       : list()
+#>   ..$ data                         : NULL
+#>   ..$ origin                       : num [1, 1:2] 708886 6254404
+#>   ..$ calc_distance                : chr "euclid"
+#>   ..$ calc_distance_euclid_fast    : logi TRUE
+#>   ..$ bathy                        : NULL
+#>   ..$ calc_distance_graph          : NULL
+#>   ..$ calc_movement_pr             :function (distance, ...)  
+#>   ..$ calc_movement_pr_from_origin :function (distance, ...)  
+#>   ..$ mobility                     : NULL
+#>   ..$ mobility_from_origin         : NULL
+#>   ..$ n                            : int 10
+#>   ..$ resample                     : NULL
+#>   ..$ update_history               : NULL
+#>   ..$ update_history_from_time_step: int 1
+#>   ..$ write_history                : NULL
+#>   ..$ cl                           : NULL
+#>   ..$ use_all_cores                : logi FALSE
+#>   ..$ seed                         : num 1
+#>   ..$ verbose                      : logi TRUE
+#>   ..$ optimisers                   :List of 3
+#>   .. ..$ use_raster_operations                 : logi TRUE
+#>   .. ..$ use_calc_distance_euclid_backend_grass: logi FALSE
+#>   .. ..$ use_grass_dir                         : NULL
+#>   .. ..- attr(*, "class")= chr [1:2] "list" "pf_optimiser"
+#>  - attr(*, "class")= chr [1:2] "list" "pf_archive"
+# Algorithm duration during testing ~0.03 minutes
+# ... (vs ~0.21 minutes with calc_distance_euclid_fast = FALSE)
+
+#### Example (2): Implement algorithm reading rasters from file on the fly
+# Save files (this can be done directly within dc())
+tmp_root <- paste0(tempdir(), "/dc_files/")
+dir.create(tmp_root)
+lapply(1:length(record), function(i) raster::writeRaster(record[[i]], paste0(tmp_root, i, ".tif")))
+#> [[1]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 1.tif 
+#> names      : layer 
+#> values     : 0, 0.015625  (min, max)
+#> 
+#> 
+#> [[2]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 2.tif 
+#> names      : layer 
+#> values     : 0, 0.01408451  (min, max)
+#> 
+#> 
+#> [[3]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 3.tif 
+#> names      : layer 
+#> values     : 0, 0.01282051  (min, max)
+#> 
+#> 
+#> [[4]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 4.tif 
+#> names      : layer 
+#> values     : 0, 0.01098901  (min, max)
+#> 
+#> 
+#> [[5]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 5.tif 
+#> names      : layer 
+#> values     : 0, 0.00990099  (min, max)
+#> 
+#> 
+#> [[6]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 6.tif 
+#> names      : layer 
+#> values     : 0, 0.007194245  (min, max)
+#> 
+#> 
+#> [[7]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 7.tif 
+#> names      : layer 
+#> values     : 0, 0.005405406  (min, max)
+#> 
+#> 
+#> [[8]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 8.tif 
+#> names      : layer 
+#> values     : 0, 0.004950495  (min, max)
+#> 
+#> 
+#> [[9]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 9.tif 
+#> names      : layer 
+#> values     : 0, 0.004347826  (min, max)
+#> 
+#> 
+#> [[10]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 10.tif 
+#> names      : layer 
+#> values     : 0, 0.003937008  (min, max)
+#> 
+#> 
+#> [[11]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 11.tif 
+#> names      : layer 
+#> values     : 0, 0.003952569  (min, max)
+#> 
+#> 
+#> [[12]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 12.tif 
+#> names      : layer 
+#> values     : 0, 0.003745318  (min, max)
+#> 
+#> 
+#> [[13]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 13.tif 
+#> names      : layer 
+#> values     : 0, 0.003745318  (min, max)
+#> 
+#> 
+#> [[14]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 14.tif 
+#> names      : layer 
+#> values     : 0, 0.003484321  (min, max)
+#> 
+#> 
+#> [[15]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 15.tif 
+#> names      : layer 
+#> values     : 0, 0.003676471  (min, max)
+#> 
+#> 
+#> [[16]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 16.tif 
+#> names      : layer 
+#> values     : 0, 0.002873563  (min, max)
+#> 
+#> 
+#> [[17]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 17.tif 
+#> names      : layer 
+#> values     : 0, 0.002409639  (min, max)
+#> 
+#> 
+#> [[18]]
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : 18.tif 
+#> names      : layer 
+#> values     : 0, 0.002369668  (min, max)
+#> 
+#> 
+# Create pointer to files (in the correct order by time step)
+record_pointer <- list.files(tmp_root)
+record_pointer <- substr(record_pointer, 1, nchar(record_pointer) - 4)
+record_pointer <- data.frame(index = 1:length(record_pointer), name = record_pointer)
+record_pointer <- record_pointer[order(as.integer(record_pointer$name)), ]
+record_pointer <- list.files(tmp_root, full.names = TRUE)[record_pointer$index]
+out_2 <- pf(record = record_pointer,
+            origin  = xy,
+            calc_distance = "euclid",
+            calc_movement_pr = pf_setup_movement_pr,
+            n = 10L,
+            seed = 1)
+#> flapper::pf() called (@ 2023-02-19 15:02:37)... 
+#> ... Setting up function... 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> ... Implementing algorithm iteratively over time steps... 
+#> ... ... Time = 1... 
+#> The probability of all cells at time 1 is 0. Either (1) the algorithm has been 'unlucky' and all n = 10 particles up to this point have led to 'dead ends', (2) the mobility model ('mobility') is too limiting and/or (3) other model assumptions have been violated. The function will now stop, returning outputs up until this point.
+
+#### Example (3): Implement a blanket mobility restriction
+# This can improve computational efficiency but offers no improvement
+# ... in this example (e.g., due to relatively small raster, so the cost of
+# ... focusing in on a specific area matches the speed gains of
+# ... implementing the distance/movement
+# ... pr calculations over a smaller area at each time step)
+out_3 <- pf(record = record,
+            origin  = xy,
+            calc_distance = "euclid",
+            calc_movement_pr = pf_setup_movement_pr,
+            mobility = 250,
+            n = 10L,
+           seed = 1)
+#> flapper::pf() called (@ 2023-02-19 15:02:38)... 
+#> ... Setting up function... 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> Error in .local(obj, ...): NA values in coordinates
+# Algorithm duration during testing ~0.04 minutes
+
+#### Example (4): Implement algorithm using shortest distances
+# Note the need for a surface with equal resolution if this option is implemented.
+# To speed up the initial stages of the algorithm, you can supply the graph
+# ... required for least-cost calculations via calc_distance_graph, but for
+# ... brevity we don't implement that here.
+out_4 <- pf(record = record,
+            origin  = xy,
+            calc_distance = "lcp",
+            bathy = surface,
+            calc_movement_pr = pf_setup_movement_pr,
+            n = 10L,
+            seed = 1)
+#> flapper::pf() called (@ 2023-02-19 15:02:38)... 
+#> ... Setting up function... 
+#> ... Setting up cost-surface for calc_distance = 'lcp'... 
+#> flapper::lcp_costs() called (@ 2023-02-19 15:02:38)... 
+#> ... Defining transition matrices... 
+#> Warning: transition function gives negative values
+#> ... Calculating distance matrices... 
+#> ... Assembling LCP costs... 
+#> ... flapper::lcp_costs() call completed (@ 2023-02-19 15:02:38) after ~0 minutes. 
+#> flapper::lcp_graph_surface() called (@ 2023-02-19 15:02:38)... 
+#> ... Defining nodes, edges and costs to make graph... 
+#> ... Constructing graph object... 
+#> ... flapper::lcp_graph_surface() call completed (@ 2023-02-19 15:02:38) after ~0 minutes. 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> flapper::lcp_from_point() called (@ 2023-02-19 15:02:38)... 
+#> ... Calling cppRouting::get_distance_matrix() to get least-cost distances... 
+#> Error in (function (Graph, from, to, algorithm = "phast", aggregate_aux = FALSE,     allcores = FALSE) {    if (any(is.na(from)))         stop("NAs are not allowed in origin/destination nodes")    if (any(is.na(to)))         stop("NAs are not allowed in origin/destination nodes")    from <- as.character(from)    to <- as.character(to)    allnodes <- c(from, to)    if (sum(allnodes %in% Graph$dict$ref) < length(allnodes))         stop("Some nodes are not in the graph")    from_id <- Graph$dict$id[match(from, Graph$dict$ref)]    to_id <- Graph$dict$id[match(to, Graph$dict$ref)]    if (allcores)         message("allcores argument is deprecated since v3.0. \nPlease use RcppParallel::setThreadOptions() to set the number of threads")    if (length(Graph) == 5) {        if (aggregate_aux & length(Graph$attrib$aux) == 0)             stop("network don't have additional weight")        if (length(from) < length(to)) {            if (aggregate_aux) {                res <- cpppadd(Graph$data[, 1], Graph$data[,                   2], Graph$data[, 3], Graph$attrib$aux, Graph$nbnode,                   from_id, to_id)            }            else {                res <- cppdistmat(Graph$data[, 1], Graph$data[,                   2], Graph$data[, 3], Graph$nbnode, from_id,                   to_id)            }        }        else {            if (aggregate_aux) {                res <- cpppadd(Graph$data[, 2], Graph$data[,                   1], Graph$data[, 3], Graph$attrib$aux, Graph$nbnode,                   to_id, from_id)            }            else {                res <- cppdistmat(Graph$data[, 2], Graph$data[,                   1], Graph$data[, 3], Graph$nbnode, to_id, from_id)            }        }    }    if (length(Graph) == 6) {        if (aggregate_aux & length(Graph$original$attrib$aux) ==             0)             stop("network don't have additional weight")        invrank <- Graph$nbnode - Graph$rank        if (length(from) < length(to)) {            if (aggregate_aux) {                res <- cppaddC(invrank[Graph$original$data[,                   1] + 1], invrank[Graph$original$data[, 2] +                   1], Graph$original$data[, 3], Graph$original$attrib$aux,                   invrank[Graph$data[, 1] + 1], invrank[Graph$data[,                     2] + 1], Graph$data[, 3], Graph$nbnode, Graph$rank,                   invrank[Graph$shortcuts$shortf + 1], invrank[Graph$shortcuts$shortt +                     1], invrank[Graph$shortcuts$shortc + 1],                   TRUE, invrank[from_id + 1], invrank[to_id +                     1], 1)            }            else {                if (algorithm == "mch") {                  res <- cppdistmatC(Graph$data[, 1], Graph$data[,                     2], Graph$data[, 3], Graph$nbnode, Graph$rank,                     Graph$shortcuts$shortf, Graph$shortcuts$shortt,                     Graph$shortcuts$shortc, FALSE, from_id, to_id,                     0)                }                else {                  res <- cppdistmatC(invrank[Graph$data[, 1] +                     1], invrank[Graph$data[, 2] + 1], Graph$data[,                     3], Graph$nbnode, Graph$rank, invrank[Graph$shortcuts$shortf +                     1], invrank[Graph$shortcuts$shortt + 1],                     invrank[Graph$shortcuts$shortc + 1], TRUE,                     invrank[from_id + 1], invrank[to_id + 1],                     1)                }            }        }        else {            if (aggregate_aux) {                res <- cppaddC(invrank[Graph$original$data[,                   2] + 1], invrank[Graph$original$data[, 1] +                   1], Graph$original$data[, 3], Graph$original$attrib$aux,                   invrank[Graph$data[, 2] + 1], invrank[Graph$data[,                     1] + 1], Graph$data[, 3], Graph$nbnode, Graph$rank,                   invrank[Graph$shortcuts$shortt + 1], invrank[Graph$shortcuts$shortf +                     1], invrank[Graph$shortcuts$shortc + 1],                   TRUE, invrank[to_id + 1], invrank[from_id +                     1], 1)            }            else {                if (algorithm == "mch") {                  res <- cppdistmatC(Graph$data[, 2], Graph$data[,                     1], Graph$data[, 3], Graph$nbnode, Graph$rank,                     Graph$shortcuts$shortf, Graph$shortcuts$shortt,                     Graph$shortcuts$shortc, FALSE, to_id, from_id,                     0)                }                else {                  res <- cppdistmatC(invrank[Graph$data[, 2] +                     1], invrank[Graph$data[, 1] + 1], Graph$data[,                     3], Graph$nbnode, Graph$rank, invrank[Graph$shortcuts$shortt +                     1], invrank[Graph$shortcuts$shortf + 1],                     invrank[Graph$shortcuts$shortc + 1], TRUE,                     invrank[to_id + 1], invrank[from_id + 1],                     1)                }            }        }    }    if (!(length(from) < length(to)))         res <- t(res)    rownames(res) <- from    colnames(res) <- to    return(res)})(Graph = list(data = structure(list(from = c(0L, 1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 0L, 1L, 0L, 1L, 2L, 35L, 1L, 2L, 3L, 36L, 2L, 3L, 4L, 37L, 3L, 4L, 5L, 38L, 4L, 5L, 6L, 39L, 5L, 6L, 7L, 40L, 6L, 7L, 8L, 41L, 7L, 8L, 9L, 42L, 8L, 9L, 10L, 43L, 9L, 10L, 11L, 44L, 10L, 11L, 12L, 45L, 11L, 12L, 13L, 46L, 12L, 13L, 14L, 47L, 13L, 14L, 15L, 48L, 14L, 15L, 16L, 49L, 15L, 16L, 17L, 50L, 16L, 17L, 18L, 51L, 17L, 18L, 19L, 52L, 18L, 19L, 20L, 53L, 19L, 20L, 21L, 54L, 20L, 21L, 22L, 55L, 21L, 22L, 23L, 56L, 22L, 23L, 24L, 57L, 23L, 24L, 25L, 58L, 24L, 25L, 26L, 59L, 25L, 26L, 27L, 60L, 26L, 27L, 28L, 61L, 27L, 28L, 29L, 62L, 28L, 29L, 30L, 63L, 29L, 30L, 31L, 64L, 30L, 31L, 32L, 65L, 31L, 32L, 33L, 66L, 32L, 33L, 34L, 67L, 33L, 34L, 68L, 69L, 34L, 68L, 70L, 35L, 36L, 35L, 36L, 37L, 71L, 36L, 37L, 38L, 72L, 37L, 38L, 39L, 73L, 38L, 39L, 40L, 74L, 39L, 40L, 41L, 75L, 40L, 41L, 42L, 76L, 41L, 42L, 43L, 77L, 42L, 43L, 44L, 78L, 43L, 44L, 45L, 79L, 44L, 45L, 46L, 80L, 45L, 46L, 47L, 81L, 46L, 47L, 48L, 82L, 47L, 48L, 49L, 83L, 48L, 49L, 50L, 84L, 49L, 50L, 51L, 85L, 50L, 51L, 52L, 86L, 51L, 52L, 53L, 87L, 52L, 53L, 54L, 88L, 53L, 54L, 55L, 89L, 54L, 55L, 56L, 90L, 55L, 56L, 57L, 91L, 56L, 57L, 58L, 92L, 57L, 58L, 59L, 93L, 58L, 59L, 60L, 94L, 59L, 60L, 61L, 95L, 60L, 61L, 62L, 96L, 61L, 62L, 63L, 97L, 62L, 63L, 64L, 98L, 63L, 64L, 65L, 99L, 64L, 65L, 66L, 100L, 65L, 66L, 67L, 101L, 66L, 67L, 69L, 102L, 67L, 69L, 70L, 103L, 69L, 70L, 104L, 105L, 70L, 104L, 106L, 71L, 72L, 71L, 72L, 73L, 107L, 72L, 73L, 74L, 108L, 73L, 74L, 75L, 109L, 74L, 75L, 76L, 110L, 75L, 76L, 77L, 111L, 76L, 77L, 78L, 112L, 77L, 78L, 79L, 113L, 78L, 79L, 80L, 114L, 79L, 80L, 81L, 115L, 80L, 81L, 82L, 116L, 81L, 82L, 83L, 117L, 82L, 83L, 84L, 118L, 83L, 84L, 85L, 119L, 84L, 85L, 86L, 120L, 85L, 86L, 87L, 121L, 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1234L, 1235L, 1236L, 1270L, 1235L, 1236L, 1237L, 1271L, 1236L, 1237L, 1238L, 1272L, 1237L, 1238L, 1239L, 1273L, 1238L, 1239L, 1240L, 1274L, 1239L, 1240L, 1241L, 1275L, 1240L, 1241L, 1242L, 1276L, 1241L, 1242L, 1243L, 1277L, 1242L, 1243L, 1244L, 1278L, 1243L, 1244L, 1245L, 1279L, 1244L, 1245L, 1246L, 1280L, 1245L, 1246L, 1247L, 1281L, 1246L, 1247L, 1248L, 1282L, 1247L, 1248L, 1249L, 1283L, 1248L, 1249L, 1250L, 1284L, 1249L, 1250L, 1251L, 1285L, 1250L, 1251L, 1252L, 1286L, 1251L, 1252L, 1253L, 1287L, 1252L, 1253L, 1254L, 1288L, 1253L, 1254L, 1255L, 1289L, 1254L, 1255L, 1257L, 1290L, 1255L, 1257L, 1258L, 1291L, 1257L, 1258L, 1292L, 1293L, 1258L, 1292L, 1294L), to = c(1L, 2L, 3L, 4L, 5L, 6L, 7L, 8L, 9L, 10L, 11L, 12L, 13L, 14L, 15L, 16L, 17L, 18L, 19L, 20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L, 30L, 31L, 32L, 33L, 34L, 68L, 35L, 35L, 36L, 36L, 36L, 36L, 37L, 37L, 37L, 37L, 38L, 38L, 38L, 38L, 39L, 39L, 39L, 39L, 40L, 40L, 40L, 40L, 41L, 41L, 41L, 41L, 42L, 42L, 42L, 42L, 43L, 43L, 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"559", "560",     "561", "562", "563", "564", "565", "566", "567", "568", "569",     "570", "571", "572", "573", "540", "574", "575", "577", "578",     "579", "580", "581", "582", "583", "584", "585", "586", "587",     "588", "589", "590", "591", "592", "593", "594", "595", "596",     "597", "598", "599", "600", "601", "602", "603", "604", "605",     "606", "607", "608", "609", "576", "610", "611", "613", "614",     "615", "616", "617", "618", "619", "620", "621", "622", "623",     "624", "625", "626", "627", "628", "629", "630", "631", "632",     "633", "634", "635", "636", "637", "638", "639", "640", "641",     "642", "643", "644", "645", "612", "646", "647", "649", "650",     "651", "652", "653", "654", "655", "656", "657", "658", "659",     "660", "661", "662", "663", "664", "665", "666", "667", "668",     "669", "670", "671", "672", "673", "674", "675", "676", "677",     "678", "679", "680", "681", "648", "682", "683", "685", "686",     "687", "688", "689", "690", "691", "692", "693", "694", "695",     "696", "697", "698", "699", "700", "701", "702", "703", "704",     "705", "706", "707", "708", "709", "710", "711", "712", "713",     "714", "715", "716", "717", "684", "718", "719", "721", "722",     "723", "724", "725", "726", "727", "728", "729", "730", "731",     "732", "733", "734", "735", "736", "737", "738", "739", "740",     "741", "742", "743", "744", "745", "746", "747", "748", "749",     "750", "751", "752", "753", "720", "754", "755", "757", "758",     "759", "760", "761", "762", "763", "764", "765", "766", "767",     "768", "769", "770", "771", "772", "773", "774", "775", "776",     "777", "778", "779", "780", "781", "782", "783", "784", "785",     "786", "787", "788", "789", "756", "790", "791", "793", "794",     "795", "796", "797", "798", "799", "800", "801", "802", "803",     "804", "805", "806", "807", "808", "809", "810", "811", "812",     "813", "814", "815", "816", "817", "818", "819", "820", "821",     "822", "823", "824", "825", "792", "826", "827", "829", "830",     "831", "832", "833", "834", "835", "836", "837", "838", "839",     "840", "841", "842", "843", "844", "845", "846", "847", "848",     "849", "850", "851", "852", "853", "854", "855", "856", "857",     "858", "859", "860", "861", "828", "862", "863", "865", "866",     "867", "868", "869", "870", "871", "872", "873", "874", "875",     "876", "877", "878", "879", "880", "881", "882", "883", "884",     "885", "886", "887", "888", "889", "890", "891", "892", "893",     "894", "895", "896", "897", "864", "898", "899", "901", "902",     "903", "904", "905", "906", "907", "908", "909", "910", "911",     "912", "913", "914", "915", "916", "917", "918", "919", "920",     "921", "922", "923", "924", "925", "926", "927", "928", "929",     "930", "931", "932", "933", "900", "934", "935", "937", "938",     "939", "940", "941", "942", "943", "944", "945", "946", "947",     "948", "949", "950", "951", "952", "953", "954", "955", "956",     "957", "958", "959", "960", "961", "962", "963", "964", "965",     "966", "967", "968", "969", "936", "970", "971", "973", "974",     "975", "976", "977", "978", "979", "980", "981", "982", "983",     "984", "985", "986", "987", "988", "989", "990", "991", "992",     "993", "994", "995", "996", "997", "998", "999", "1000",     "1001", "1002", "1003", "1004", "1005", "972", "1006", "1007",     "1009", "1010", "1011", "1012", "1013", "1014", "1015", "1016",     "1017", "1018", "1019", "1020", "1021", "1022", "1023", "1024",     "1025", "1026", "1027", "1028", "1029", "1030", "1031", "1032",     "1033", "1034", "1035", "1036", "1037", "1038", "1039", "1040",     "1041", "1008", "1042", "1043", "1045", "1046", "1047", "1048",     "1049", "1050", "1051", "1052", "1053", "1054", "1055", "1056",     "1057", "1058", "1059", "1060", "1061", "1062", "1063", "1064",     "1065", "1066", "1067", "1068", "1069", "1070", "1071", "1072",     "1073", "1074", "1075", "1076", "1077", "1044", "1078", "1079",     "1081", "1082", "1083", "1084", "1085", "1086", "1087", "1088",     "1089", "1090", "1091", "1092", "1093", "1094", "1095", "1096",     "1097", "1098", "1099", "1100", "1101", "1102", "1103", "1104",     "1105", "1106", "1107", "1108", "1109", "1110", "1111", "1112",     "1113", "1080", "1114", "1115", "1117", "1118", "1119", "1120",     "1121", "1122", "1123", "1124", "1125", "1126", "1127", "1128",     "1129", "1130", "1131", "1132", "1133", "1134", "1135", "1136",     "1137", "1138", "1139", "1140", "1141", "1142", "1143", "1144",     "1145", "1146", "1147", "1148", "1149", "1116", "1150", "1151",     "1153", "1154", "1155", "1156", "1157", "1158", "1159", "1160",     "1161", "1162", "1163", "1164", "1165", "1166", "1167", "1168",     "1169", "1170", "1171", "1172", "1173", "1174", "1175", "1176",     "1177", "1178", "1179", "1180", "1181", "1182", "1183", "1184",     "1185", "1152", "1186", "1187", "1189", "1190", "1191", "1192",     "1193", "1194", "1195", "1196", "1197", "1198", "1199", "1200",     "1201", "1202", "1203", "1204", "1205", "1206", "1207", "1208",     "1209", "1210", "1211", "1212", "1213", "1214", "1215", "1216",     "1217", "1218", "1219", "1220", "1221", "1188", "1222", "1223",     "1225", "1226", "1227", "1228", "1229", "1230", "1231", "1232",     "1233", "1234", "1235", "1236", "1237", "1238", "1239", "1240",     "1241", "1242", "1243", "1244", "1245", "1246", "1247", "1248",     "1249", "1250", "1251", "1252", "1253", "1254", "1255", "1256",     "1257", "1224", "1258", "1259", "1261", "1262", "1263", "1264",     "1265", "1266", "1267", "1268", "1269", "1270", "1271", "1272",     "1273", "1274", "1275", "1276", "1277", "1278", "1279", "1280",     "1281", "1282", "1283", "1284", "1285", "1286", "1287", "1288",     "1289", "1290", "1291", "1292", "1293", "1260", "1294", "1295",     "1296"), id = 0:1295), class = "data.frame", row.names = c(NA, -1296L)), attrib = list(aux = NULL, cap = NULL, alpha = NULL,     beta = NULL)), from = NA_real_, to = c(72L, 599L, 640L, 793L, 794L, 829L, 830L, 879L, 880L, 900L, 910L, 911L, 913L, 914L, 915L, 916L, 917L, 918L, 933L, 934L, 935L, 936L, 945L, 946L, 947L, 948L, 949L, 950L, 951L, 967L, 968L, 971L, 972L, 981L, 985L, 1003L, 1016L, 1017L, 1021L, 1039L, 1051L, 1052L, 1053L, 1054L, 1055L, 1078L, 1079L, 1080L, 1086L, 1087L, 1088L, 1146L, 1147L, 1148L, 1176L, 1179L, 1180L, 1181L, 1208L, 1217L, 1242L, 1275L, 1276L, 1277L), algorithm = "phast", allcores = FALSE): NAs are not allowed in origin/destination nodes
+# This option is slower: algorithm duration during testing ~0.73 minutes
+
+#### Example (5): Implement algorithm using shortest distances with mobility restriction
+out_5 <- pf(record = record,
+            origin  = xy,
+            calc_distance = "lcp",
+            bathy = surface,
+            calc_movement_pr = pf_setup_movement_pr,
+            mobility = 250,
+            n = 10L,
+            seed = 1)
+#> flapper::pf() called (@ 2023-02-19 15:02:38)... 
+#> ... Setting up function... 
+#> ... Setting up cost-surface for calc_distance = 'lcp'... 
+#> flapper::lcp_costs() called (@ 2023-02-19 15:02:38)... 
+#> ... Defining transition matrices... 
+#> Warning: transition function gives negative values
+#> ... Calculating distance matrices... 
+#> ... Assembling LCP costs... 
+#> ... flapper::lcp_costs() call completed (@ 2023-02-19 15:02:38) after ~0 minutes. 
+#> flapper::lcp_graph_surface() called (@ 2023-02-19 15:02:38)... 
+#> ... Defining nodes, edges and costs to make graph... 
+#> ... Constructing graph object... 
+#> ... flapper::lcp_graph_surface() call completed (@ 2023-02-19 15:02:38) after ~0 minutes. 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> Error in .local(obj, ...): NA values in coordinates
+# Algorithm duration during testing ~0.63 minutes
+# With shortest distances, the mobility restriction makes more difference
+# ... in improving the computation time, because calculations are more involved.
+
+#### Example (6): Parallelisation for Euclidean distances is via cl argument
+# ... which implements parallelisation across paths. This is only implemented
+# ... for calc_distance_euclid_fast = FALSE, which is rarely desirable.
+out_6 <- pf(record = record,
+            origin  = xy,
+            calc_distance = "euclid",
+            calc_distance_euclid_fast = FALSE,
+            calc_movement_pr = pf_setup_movement_pr,
+            mobility = 250,
+            n = 10L,
+            cl = parallel::makeCluster(2L),
+            seed = 1)
+#> flapper::pf() called (@ 2023-02-19 15:02:38)... 
+#> ... Setting up function... 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> Error in .local(obj, ...): NA values in coordinates
+
+#### Example (7): Parallelisation for shortest distances is usually best
+# ... via use_all_cores = TRUE
+# However, the benefits of parallelisation depend on the number of least-cost
+# ... paths calculations that need to be performed, which depends on the size
+# ... of bathy, and may be minimal (or negative) for small areas.
+out_7 <- pf(record = record,
+            origin  = xy,
+            calc_distance = "lcp",
+            bathy = surface,
+            calc_movement_pr = pf_setup_movement_pr,
+            mobility = 250,
+            n = 10L,
+            use_all_cores = TRUE,
+            seed = 1)
+#> flapper::pf() called (@ 2023-02-19 15:02:38)... 
+#> ... Setting up function... 
+#> ... Setting up cost-surface for calc_distance = 'lcp'... 
+#> flapper::lcp_costs() called (@ 2023-02-19 15:02:38)... 
+#> ... Defining transition matrices... 
+#> Warning: transition function gives negative values
+#> ... Calculating distance matrices... 
+#> ... Assembling LCP costs... 
+#> ... flapper::lcp_costs() call completed (@ 2023-02-19 15:02:38) after ~0 minutes. 
+#> flapper::lcp_graph_surface() called (@ 2023-02-19 15:02:38)... 
+#> ... Defining nodes, edges and costs to make graph... 
+#> ... Constructing graph object... 
+#> ... flapper::lcp_graph_surface() call completed (@ 2023-02-19 15:02:38) after ~0 minutes. 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> Error in .local(obj, ...): NA values in coordinates
+# But the speed benefits in this case are minimal.
+# Algorithm duration during testing ~0.61 minutes.
+
+#### Example (8): Extend the movement model via variables in data
+# For example, you could assign behavioural 'states', such as resting versus
+# ... non resting. Here, we use information on the change in depth to restrict
+# ... movement, based on the idea that large changes in depth correlate
+# ... with shorter horizontal movements. This is appropriate for calc_distance =
+# ... 'euclid', which does not account for movement over the bathymetry and
+# ... may be quicker than implementing least-cost distances.
+## Define absolute vertical activity (VA)
+# For the last observation, we need to assign a VA of 0 to ensure that
+# ... we do not include NAs in the calculations.
+depth$va_abs <- abs(depth$depth - dplyr::lead(depth$depth))
+depth$va_abs[nrow(depth)] <- 0
+## Define movement model, depending on distance and a dataframe with other information
+setup_movement_pr <- function(distance, data){
+  beta <- -0.05 + -0.005 * data$va_abs
+  pr <- stats::plogis(10 + distance * beta)
+  pr[distance > 500] <- 0
+  return(pr)
+}
+## Examine the movement model with distance and VA
+pr <- setup_movement_pr(1:1000, data.frame(va_abs = 0))
+prettyGraphics::pretty_plot(pr, type = "n")
+#> 'y' argument not supplied; 'x' is plotted against an index.
+for(va_abs in seq(min(depth$va_abs), max(depth$va_abs), length.out = 5)){
+  lines(1:1000, setup_movement_pr(1:1000, data.frame(va_abs = va_abs)), lwd = 0.25 + va_abs/5)
+}
+
+## Implement algorithm with adjusted movement model
+out_8 <- pf(record = record,
+            data = depth,
+            origin  = xy,
+            calc_distance = "euclid",
+            calc_movement_pr = setup_movement_pr,
+            mobility = 250,
+            n = 10L,
+            seed = 1)
+#> flapper::pf() called (@ 2023-02-19 15:02:38)... 
+#> ... Setting up function... 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> Error in .local(obj, ...): NA values in coordinates
+
+#### Dealing with convergence failures.
+# The algorithm can fail to converge. There are a variety of options
+# ... that can be trialled to deal with this:
+# ... ... Updating the outputs from an earlier time step
+# ... ... Increase the number of particles
+# ... ... Resampling
+# ... ... Reduce the number of temporal resolution
+# ... ... Tweak movement model, depth error, mobility etc.
+
+#### Example (9): Update particle histories from an earlier time step
+# ... via update_history and update_history_from_time_step
+out_9 <- pf(record = record,
+            data = depth,
+            origin  = xy,
+            calc_distance = "euclid",
+            calc_movement_pr = setup_movement_pr,
+            mobility = 250,
+            n = 10L,
+            seed = 1,
+            update_history = out_8$history,
+            update_history_from_time_step = 5)
+#> flapper::pf() called (@ 2023-02-19 15:02:38)... 
+#> ... Setting up function... 
+#> Error in pf(record = record, data = depth, origin = xy, calc_distance = "euclid",     calc_movement_pr = setup_movement_pr, mobility = 250, n = 10L,     seed = 1, update_history = out_8$history, update_history_from_time_step = 5): object 'out_8' not found
+
+#### Example (10): Implement re-sampling via resample
+# Here, for demonstration purposes, we implement the algorithm from
+# ... scratch with the original movement model, this time re-sampling
+# ... possible positions with equal probability if there are
+# ... fewer than 10 unique positions.
+# ... (Normally resample would be less than n.)
+# In this example, the function re-samples candidate starting positions at t = 9
+out_10 <- pf(record = record,
+             data = depth,
+             origin  = xy,
+             calc_distance = "euclid",
+             calc_movement_pr = pf_setup_movement_pr,
+             mobility = 250,
+             n = 10L,
+             resample = 10,
+             seed = 1)
+#> flapper::pf() called (@ 2023-02-19 15:02:38)... 
+#> ... Setting up function... 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> Error in .local(obj, ...): NA values in coordinates
+
+#### Example (10): A simulation workflow
+# This example provides a simulation workflow for comparing simulated and
+# ... reconstructed paths. Specifically, we simulate movement in an area,
+# ... so that we know the 'true' path. We then implement the DCPF algorithm
+# ... to reconstruct possible paths
+# ... and compare the true and reconstructed paths.
+
+## (A) Set seed for reproducibility
+seed <- 2021
+set.seed(seed)
+
+## (B) Define area for simulation
+# Here, we use the sample area as above, but reduce the resolution
+# ... for example speed.
+dat_gebco_planar <- raster::raster(crs = raster::crs(dat_gebco),
+                                   ext = raster::extent(dat_gebco),
+                                   resolution = 25)
+dat_gebco_planar <- raster::resample(dat_gebco, dat_gebco_planar, method = "bilinear")
+#> Warning: aggregation factor is larger than the number of columns
+#> Warning: aggregation factor is larger than the number of rows
+# Define 'sea' for movement simulation
+dat_coast <- raster::crop(dat_coast, raster::extent(dat_gebco))
+#> Error in .local(obj, ...): cannot derive coordinates from non-numeric matrix
+dat_sea <- invert_poly(dat_coast)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+# Visualise area
+prettyGraphics::pretty_map(dat_gebco_planar,
+                           add_rasters = list(x = dat_gebco_planar),
+                           add_polys = list(x = dat_sea))
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
+#> Warning: no non-missing arguments to min; returning Inf
+#> Warning: no non-missing arguments to max; returning -Inf
+#> Error in seq.default(zlim[1], zlim[2], , nlevel): 'from' must be a finite number
+
+
+## (C) Simulate movement path
+# Define movement parameters
+sim_steps <- function(...) stats::rgamma(1, shape = 15, scale = 5)
+prettyGraphics::pretty_hist(stats::rgamma(10000, shape = 15, scale = 5), breaks = 100)
+
+# Define animal's origin
+origin_sim <- sp::spsample(dat_sea, n = 1, type = "random")
+origin_sim <- sp::coordinates(origin_sim)
+# Simulate path
+path_sim <- sim_path_sa(n = 10,
+                        p_1 = origin_sim,
+                        area = dat_sea,
+                        sim_step = sim_steps,
+                        add_rasters = list(x = dat_gebco_planar),
+                        seed = seed)
+#> flapper::sim_path_sa() called (@ 2023-02-19 15:02:38)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> 
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  |                                                                            
  |======================================================================| 100%... Plotting simulated path... 
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> Warning: no non-missing arguments to min; returning Inf
+#> Warning: no non-missing arguments to max; returning -Inf
+#> Error in seq.default(zlim[1], zlim[2], , nlevel): 'from' must be a finite number
+
+# Get resultant depth time series
+path_sim <- path_sim$xy_mat
+#> Error in eval(expr, envir, enclos): object 'path_sim' not found
+path_sim <- data.frame(path_id = 1,
+                       cell_id = raster::cellFromXY(dat_gebco_planar, path_sim),
+                       cell_x = path_sim[, 1],
+                       cell_y = path_sim[, 2],
+                       timestep = 1:nrow(path_sim))
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'xy' in selecting a method for function 'cellFromXY': object 'path_sim' not found
+path_sim$cell_z <- raster::extract(dat_gebco_planar, path_sim$cell_id)
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'y' in selecting a method for function 'extract': object 'path_sim' not found
+prettyGraphics::pretty_plot(path_sim$cell_z, type = "l")
+#> Error in prettyGraphics::pretty_plot(path_sim$cell_z, type = "l"): object 'path_sim' not found
+# Check simulated movements on the scale of the grid
+sp::spDists(raster::xyFromCell(dat_gebco_planar, path_sim$cell_id),
+            segments = TRUE)
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'cell' in selecting a method for function 'xyFromCell': object 'path_sim' not found
+# Simulate 'observed' depth time series given some error
+# ... For illustration, we will make the error smaller in this example
+cde <- function(...) matrix(c(-2.5, 2.5), nrow = 2)
+depth_obs <- runif(length(path_sim$cell_z),
+                   path_sim$cell_z + cde(path_sim$cell_z)[1],
+                   path_sim$cell_z + cde(path_sim$cell_z)[2])
+#> Error in runif(length(path_sim$cell_z), path_sim$cell_z + cde(path_sim$cell_z)[1],     path_sim$cell_z + cde(path_sim$cell_z)[2]): object 'path_sim' not found
+depth_obs <- data.frame(depth = depth_obs)
+#> Error in data.frame(depth = depth_obs): object 'depth_obs' not found
+# Compare 'true' and 'observed' depth time series
+pf_plot_1d(path_sim, depth_obs,
+           type = "b", cex = 0.5,
+           add_lines = list(col = "royalblue", type = "l"))
+#> Error in check_names(input = archival, req = c("depth")): object 'depth_obs' not found
+
+## Implement dc() on 'observed' time series
+dc_out <- dc(archival = depth_obs,
+             bathy = dat_gebco_planar,
+             calc_depth_error = cde,
+             save_record_spatial = NULL)
+#> flapper::dc() called (@ 2023-02-19 15:02:38)... 
+#> ... Setting up function... 
+#> Error in dc(archival = depth_obs, bathy = dat_gebco_planar, calc_depth_error = cde,     save_record_spatial = NULL): object 'depth_obs' not found
+
+## Implement pf() on the results from dc()
+# We will assume that the origin was known.
+# ... We will mostly use the default options.
+history_dcpf <-
+  pf(record = acdc_access_maps(acdc_simplify(dc_out, type = "dc"),
+                               type = "map_timestep"),
+     origin = origin_sim,
+     calc_distance = "euclid",
+     mobility = 200,
+     n = 10L)
+#> flapper::pf() called (@ 2023-02-19 15:02:38)... 
+#> ... Setting up function... 
+#> acdc_simplify() implemented for type = 'dc'.
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> Error in .local(obj, ...): NA values in coordinates
+
+## Visualise particle histories in relation to simulated paths
+# Here, each plot shows the particles sampled at a particular time step
+# ... The green area shows areas of the requisite depth at that time step and the
+# ... particles show sampled locations at that time step. The simulated path
+# ... is shown in black.
+pp <- graphics::par(mfrow = c(3, 4))
+pf_plot_history(history_dcpf,
+                add_particles = list(pch = 21),
+                add_paths = list(x = path_sim$cell_x, path_sim$cell_y, length = 0.05),
+                xlim = range(path_sim$cell_x), ylim = range(path_sim$cell_y),
+                crop_spatial = TRUE,
+                prompt = FALSE)
+#> Error in pf_plot_history(history_dcpf, add_particles = list(pch = 21),     add_paths = list(x = path_sim$cell_x, path_sim$cell_y, length = 0.05),     xlim = range(path_sim$cell_x), ylim = range(path_sim$cell_y),     crop_spatial = TRUE, prompt = FALSE): object 'history_dcpf' not found
+graphics::par(pp)
+
+## Assemble paths
+path_dcpf <- pf_simplify(history_dcpf, bathy = dat_gebco_planar)
+#> flapper::pf_simplify() called (@ 2023-02-19 15:02:38)... 
+#> Error in pf_simplify(history_dcpf, bathy = dat_gebco_planar): object 'history_dcpf' not found
+
+## Compare reconstructed versus observed depth time series
+pf_plot_1d(path_dcpf, depth_obs)
+#> Error in check_names(input = archival, req = c("depth")): object 'depth_obs' not found
+
+## Show that the distances between sequential positions are within the restrictions
+# ... of the movement model
+require(rlang)
+#> Loading required package: rlang
+path_dcpf <-
+  path_dcpf %>%
+  dplyr::group_by(.data$path_id) %>%
+  dplyr::mutate(cell_x2 = dplyr::lag(.data$cell_x),
+                cell_y2 = dplyr::lag(.data$cell_y),
+                dist_1 = sqrt((.data$cell_x2 - .data$cell_x)^2 +
+                                (.data$cell_y2 -.data$ cell_y)^2))
+#> Error in dplyr::group_by(., .data$path_id): object 'path_dcpf' not found
+path_dcpf
+#> Error in eval(expr, envir, enclos): object 'path_dcpf' not found
+range(path_dcpf$dist_1, na.rm =TRUE)
+#> Error in eval(expr, envir, enclos): object 'path_dcpf' not found
+
+## Visualise paths
+# Zoom around path
+xlim <- range(c(path_sim$cell_x, path_dcpf$cell_x), na.rm = TRUE)
+#> Error in eval(expr, envir, enclos): object 'path_sim' not found
+ylim <- range(c(path_sim$cell_y, path_dcpf$cell_y), na.rm = TRUE)
+#> Error in eval(expr, envir, enclos): object 'path_sim' not found
+boundaries <- raster::extent(xlim, ylim)
+#> Error in h(simpleError(msg, call)): error in evaluating the argument 'x' in selecting a method for function 'extent': object 'xlim' not found
+area <- raster::crop(dat_gebco_planar, boundaries)
+#> Error in .local(x, y, ...): extents do not overlap
+# Define function to add simulated path for comparison
+add_paths_sim <-
+  function() prettyGraphics::add_sp_path(path_sim$cell_x, path_sim$cell_y,
+                                         lwd = 2, length = 0.01)
+# Make plots
+if(interactive()){
+  pf_plot_2d(path_dcpf, area, add_paths = list(length = 0.05),
+             add_additional = add_paths_sim,
+             prompt = TRUE)
+}
+
+#### Example (11): Write a dataframe of sampled particles to file at each time step
+# Define directory in which to save files
+root <- paste0(tempdir(), "/pf/")
+dir.create(root)
+# Implement PF, writing the history of particle samples at each time step
+out_11 <- pf(record = record,
+             origin  = xy,
+             write_history = list(file = root))
+#> flapper::pf() called (@ 2023-02-19 15:02:38)... 
+#> ... Setting up function... 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> ... Implementing algorithm iteratively over time steps... 
+#> ... ... Time = 1... 
+#> The probability of all cells at time 1 is 0. Either (1) the algorithm has been 'unlucky' and all n = 10 particles up to this point have led to 'dead ends', (2) the mobility model ('mobility') is too limiting and/or (3) other model assumptions have been violated. The function will now stop, returning outputs up until this point.
+# Read the record into R
+history_from_file <- lapply(pf_access_history_files(root), readRDS)
+#> Error in pf_access_history_files(root): File naming structure is unrecognised.TRUE
+# Show that the history recorded in 'out_11' is the same as that recorded by the saved files
+length(out_11$history); length(history_from_file)
+#> [1] 0
+#> Error in eval(expr, envir, enclos): object 'history_from_file' not found
+#> [1] 0
+identical(out_11$history, history_from_file)
+#> Error in identical(out_11$history, history_from_file): object 'history_from_file' not found
+cbind(out_11$history[[1]],
+      history_from_file[[1]])
+#> Error in out_11$history[[1]]: subscript out of bounds
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/pf_access_history.html b/docs/reference/pf_access_history.html index f41f3e5..5ac59f0 100644 --- a/docs/reference/pf_access_history.html +++ b/docs/reference/pf_access_history.html @@ -1,67 +1,12 @@ - - - - - - - -Access the `history' element of a pf_archive-class object — pf_access_history • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Access the `history' element of a pf_archive-class object — pf_access_history • flapper - + + - - - -
    -
    - -
    - -
    +
    -

    Access the `history' element of a pf_archive-class object

    - Source: R/pf_access.R +

    Access the `history' element of a pf_archive-class object

    + Source: R/pf_access.R
    -

    This function accesses and simplifies the `history' list in a pf_archive-class object.

    +

    This function accesses and simplifies the `history' list in a pf_archive-class object.

    - 
    pf_access_history(archive, bathy = NULL)
    +
    + 
    pf_access_history(archive, bathy = NULL)
    +
    -

    Arguments

    - - - - - - - - - - -
    archive

    A pf_archive-class object.

    bathy

    (optional) A raster that defines the grid across the area over which particle filtering was applied. If unsupplied, this is extracted from archive if available.

    +
    +

    Arguments

    +
    archive
    +

    A pf_archive-class object.

    -

    Value

    -

    The function returns a dataframe that defines, for each time step (`timestep'), particle samples (`cell_id'), associated probabilities (`cell_pr') and, if bathy is available, cell coordinates (`cell_x', `cell_y' and `cell_z').

    -

    Details

    +
    bathy
    +

    (optional) A raster that defines the grid across the area over which particle filtering was applied. If unsupplied, this is extracted from archive if available.

    -

    From the `history' element of a pf_archive-class object, this function extracts particle samples as a dataframe with columns for time steps, cell IDs, cell probabilities and coordinates (if bathy is available).

    -

    Author

    +
    +
    +

    Value

    + +

    The function returns a dataframe that defines, for each time step (`timestep'), particle samples (`cell_id'), associated probabilities (`cell_pr') and, if bathy is available, cell coordinates (`cell_x', `cell_y' and `cell_z').

    +
    +
    +

    Details

    +

    From the `history' element of a pf_archive-class object, this function extracts particle samples as a dataframe with columns for time steps, cell IDs, cell probabilities and coordinates (if bathy is available).

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    pf_access_history(dat_dcpf_histories)
-
    #>     timestep cell_id      cell_pr    cell_x    cell_y    cell_z
-#> 1          1    2921 1.312336e-04 136.97954 136.97954 136.97954
-#> 2          1    3159 2.364016e-04 137.04983 137.04983 137.04983
-#> 3          1    3237 1.312336e-04 137.88798 137.88798 137.88798
-#> 4          1    3243 2.425569e-04 133.69964 133.69964 133.69964
-#> 5          1    3318 1.942855e-04 136.58845 136.58845 136.58845
-#> 6          1    3320 2.525012e-04 135.27935 135.27935 135.27935
-#> 7          1    3320 2.525012e-04 135.27935 135.27935 135.27935
-#> 8          1    3396 3.947544e-05 137.20907 137.20907 137.20907
-#> 9          1    3559 9.359471e-05 134.48285 134.48285 134.48285
-#> 10         1    3722 1.808832e-05 134.01993 134.01993 134.01993
-#> 11         2    3078 1.876176e-04 138.39286 138.39286 138.39286
-#> 12         2    3079 1.786695e-04 137.60779 137.60779 137.60779
-#> 13         2    3157 2.174004e-04 138.53295 138.53295 138.53295
-#> 14         2    3243 1.663445e-05 133.69964 133.69964 133.69964
-#> 15         2    3315 2.174004e-04 138.55210 138.55210 138.55210
-#> 16         2    3475 1.498497e-04 137.08812 137.08812 137.08812
-#> 17         2    3477 1.498497e-04 135.95305 135.95305 135.95305
-#> 18         2    3478 1.114181e-04 135.38551 135.38551 135.38551
-#> 19         2    3723 2.358249e-04 133.47766 133.47766 133.47766
-#> 20         2    3961 3.630254e-05 136.28141 136.28141 136.28141
-#> 21         3    3157 2.105803e-04 138.53295 138.53295 138.53295
-#> 22         3    3166 1.569277e-04 133.69382 133.69382 133.69382
-#> 23         3    3240 1.647869e-04 135.79381 135.79381 135.79381
-#> 24         3    3317 1.959173e-04 137.24300 137.24300 137.24300
-#> 25         3    3396 2.039494e-04 137.20907 137.20907 137.20907
-#> 26         3    3402 1.909455e-04 133.54282 133.54282 133.54282
-#> 27         3    3406 4.721224e-05 133.14011 133.14011 133.14011
-#> 28         3    3956 4.721224e-05 139.05929 139.05929 139.05929
-#> 29         3    3963 1.647869e-04 135.17026 135.17026 135.17026
-#> 30         3    3963 1.647869e-04 135.17026 135.17026 135.17026
-#> 31         4    3006 1.826367e-04 134.06296 134.06296 134.06296
-#> 32         4    3238 1.901244e-04 137.18992 137.18992 137.18992
-#> 33         4    3317 1.462901e-04 137.24300 137.24300 137.24300
-#> 34         4    3398 1.605168e-04 135.98698 135.98698 135.98698
-#> 35         4    3399 1.226931e-04 135.37594 135.37594 135.37594
-#> 36         4    3565 1.780020e-04 131.98428 131.98428 131.98428
-#> 37         4    3568 2.972360e-05 134.61187 134.61187 134.61187
-#> 38         4    3641 7.047349e-05 133.98912 133.98912 133.98912
-#> 39         4    3801 1.605168e-04 135.13527 135.13527 135.13527
-#> 40         4    3887 9.122633e-05 134.05864 134.05864 134.05864
-#> 41         5    2843 1.236215e-04 135.61930 135.61930 135.61930
-#> 42         5    3005 1.945485e-04 133.75853 133.75853 133.75853
-#> 43         5    3009 1.547789e-04 134.97625 134.97625 134.97625
-#> 44         5    3075 1.236215e-04 140.74807 140.74807 140.74807
-#> 45         5    3235 1.793489e-04 139.28409 139.28409 139.28409
-#> 46         5    3400 1.945485e-04 134.76490 134.76490 134.76490
-#> 47         5    3405 1.236215e-04 132.38837 132.38837 132.38837
-#> 48         5    3719 9.956193e-05 135.64673 135.64673 135.64673
-#> 49         5    3889 1.840187e-04 134.28312 134.28312 134.28312
-#> 50         5    3963 7.100674e-05 135.17026 135.17026 135.17026
-#> 51         6    3000 1.303164e-04 137.33717 137.33717 137.33717
-#> 52         6    3008 2.050845e-04 134.67182 134.67182 134.67182
-#> 53         6    3086 2.019373e-04 133.87839 133.87839 133.87839
-#> 54         6    3317 1.890617e-04 137.24300 137.24300 137.24300
-#> 55         6    3318 4.240359e-05 136.58845 136.58845 136.58845
-#> 56         6    3329 1.049538e-04 135.31153 135.31153 135.31153
-#> 57         6    3397 7.485220e-05 136.59803 136.59803 136.59803
-#> 58         6    3637 1.890617e-04 136.14046 136.14046 136.14046
-#> 59         6    3641 1.553795e-04 133.98912 133.98912 133.98912
-#> 60         6    3886 1.553795e-04 133.94639 133.94639 133.94639
-#> 61         7    2917 2.097557e-04 140.46788 140.46788 140.46788
-#> 62         7    2921 2.726068e-04 136.97954 136.97954 136.97954
-#> 63         7    3083 5.027690e-06 134.46750 134.46750 134.46750
-#> 64         7    3089 2.202607e-04 135.06007 135.06007 135.06007
-#> 65         7    3238 1.759216e-04 137.18992 137.18992 137.18992
-#> 66         7    3247 2.097557e-04 134.08207 134.08207 134.08207
-#> 67         7    3493 1.010473e-04 138.84399 138.84399 138.84399
-#> 68         7    3560 2.097557e-04 133.94945 133.94945 133.94945
-#> 69         7    3568 2.097557e-04 134.61187 134.61187 134.61187
-#> 70         7    3635 2.618707e-04 137.21613 137.21613 137.21613
-#> 71         8    3898 1.152372e-05 129.29371 129.29371 129.29371
-#> 72         8    3898 1.152372e-05 129.29371 129.29371 129.29371
-#> 73         8    3899 4.633050e-06 127.54157 127.54157 127.54157
-#> 74         8    3977 9.706081e-06 129.34083 129.34083 129.34083
-#> 75         8    3977 9.706081e-06 129.34083 129.34083 129.34083
-#> 76         8    3977 9.706081e-06 129.34083 129.34083 129.34083
-#> 77         8    3977 9.706081e-06 129.34083 129.34083 129.34083
-#> 78         8    3977 9.706081e-06 129.34083 129.34083 129.34083
-#> 79         8    3977 9.706081e-06 129.34083 129.34083 129.34083
-#> 80         8    3978 4.633050e-06 127.45340 127.45340 127.45340
-#> 81         9    4063 7.149016e-05 115.49957 115.49957 115.49957
-#> 82         9    4142 2.310167e-04 115.14083 115.14083 115.14083
-#> 83         9    4142 4.406128e-04 115.14083 115.14083 115.14083
-#> 84         9    4221 2.310167e-04 115.05267 115.05267 115.05267
-#> 85         9    4221 2.310167e-04 115.05267 115.05267 115.05267
-#> 86         9    4300 2.310167e-04 115.23507 115.23507 115.23507
-#> 87         9    4301 9.550208e-05 112.80651 112.80651 112.80651
-#> 88         9    4301 1.161212e-04 112.80651 112.80651 112.80651
-#> 89         9    4301 1.161212e-04 112.80651 112.80651 112.80651
-#> 90         9    4380 5.380996e-05 113.12419 113.12419 113.12419
-#> 91        10    4303 1.052208e-03 107.94940 107.94940 107.94940
-#> 92        10    4303 1.052208e-03 107.94940 107.94940 107.94940
-#> 93        10    4304 5.392584e-04 105.52084 105.52084 105.52084
-#> 94        10    4462 8.647521e-04 105.61507 105.61507 105.61507
-#> 95        10    4462 1.052208e-03 105.61507 105.61507 105.61507
-#> 96        10    4463 7.252655e-04 102.91595 102.91595 102.91595
-#> 97        10    4545 2.601637e-04  94.73041  94.73041  94.73041
-#> 98        10    4622 2.359938e-04 100.85219 100.85219 100.85219
-#> 99        10    4783 6.059906e-05  92.84905  92.84905  92.84905
-#> 100       10    4858 1.258733e-05 107.21004 107.21004 107.21004
-#> 101       11    4228 2.570111e-04  96.41539  96.41539  96.41539
-#> 102       11    4387 5.872840e-04  94.50041  94.50041  94.50041
-#> 103       11    4389 4.536843e-04  88.67417  88.67417  88.67417
-#> 104       11    4547 2.833335e-04  89.41252  89.41252  89.41252
-#> 105       11    4548 2.833335e-04  86.75919  86.75919  86.75919
-#> 106       11    4783 2.570111e-04  92.84905  92.84905  92.84905
-#> 107       11    4861 9.417657e-04  97.08341  97.08341  97.08341
-#> 108       11    4862 2.833335e-04  93.70787  93.70787  93.70787
-#> 109       11    4862 1.223956e-03  93.70787  93.70787  93.70787
-#> 110       11    4864 7.898565e-04  86.95678  86.95678  86.95678
-#> 111       12    4389 1.338321e-03  88.67417  88.67417  88.67417
-#> 112       12    4469 1.429464e-03  86.39001  86.39001  86.39001
-#> 113       12    4548 1.475939e-03  86.75919  86.75919  86.75919
-#> 114       12    4705 1.663311e-04  89.15582  89.15582  89.15582
-#> 115       12    4707 6.858919e-04  84.32463  84.32463  84.32463
-#> 116       12    4709 5.298601e-04  79.53754  79.53754  79.53754
-#> 117       12    4943 1.429464e-03  87.81560  87.81560  87.81560
-#> 118       12    5104 9.224773e-04  79.67062  79.67062  79.67062
-#> 119       12    5106 9.224773e-04  74.12384  74.12384  74.12384
-#> 120       12    5265 1.367964e-04  72.85097  72.85097  72.85097
-#> 121       13    4552 9.293680e-04  76.14586  76.14586  76.14586
-#> 122       13    4867 1.509693e-03  79.23674  79.23674  79.23674
-#> 123       13    4871 1.509693e-03  70.70169  70.70169  70.70169
-#> 124       13    4952 8.782483e-05  66.67345  66.67345  66.67345
-#> 125       13    5026 1.816027e-03  76.02283  76.02283  76.02283
-#> 126       13    5029 1.375888e-03  70.40090  70.40090  70.40090
-#> 127       13    5185 1.788159e-03  74.43990  74.43990  74.43990
-#> 128       13    5266 1.816027e-03  71.07040  71.07040  71.07040
-#> 129       13    5345 1.375888e-03  71.26204  71.26204  71.26204
-#> 130       13    5429 6.628176e-04  63.38557  63.38557  63.38557
-#> 131       14    4636 1.353681e-03  63.11225  63.11225  63.11225
-#> 132       14    4716 6.530796e-04  61.62966  61.62966  61.62966
-#> 133       14    4956 5.924068e-04  57.18187  57.18187  57.18187
-#> 134       14    5034 2.641320e-03  61.03102  61.03102  61.03102
-#> 135       14    5036 1.353681e-03  55.69928  55.69928  55.69928
-#> 136       14    5196 6.530796e-04  53.83588  53.83588  53.83588
-#> 137       14    5273 1.353681e-03  59.40138  59.40138  59.40138
-#> 138       14    5513 1.353681e-03  56.11490  56.11490  56.11490
-#> 139       14    5590 2.641320e-03  59.28117  59.28117  59.28117
-#> 140       14    5830 5.924068e-04  55.44025  55.44025  55.44025
-#> 141       15    4717 4.175310e-03  57.48378  57.48378  57.48378
-#> 142       15    4798 3.471003e-03  51.78779  51.78779  51.78779
-#> 143       15    4880 1.523914e-03  41.81090  41.81090  41.81090
-#> 144       15    4956 4.244902e-03  57.18187  57.18187  57.18187
-#> 145       15    4958 2.653108e-03  48.68757  48.68757  48.68757
-#> 146       15    5200 9.517100e-04  37.95396  37.95396  37.95396
-#> 147       15    5280 1.972672e-03  37.89623  37.89623  37.89623
-#> 148       15    5672 3.471003e-03  55.28290  55.28290  55.28290
-#> 149       15    5752 3.849103e-03  54.12580  54.12580  54.12580
-#> 150       15    6069 3.163367e-03  52.65030  52.65030  52.65030
-#> 151       16    4560 3.759398e-03  48.28138  48.28138  48.28138
-#> 152       16    4560 4.667874e-03  48.28138  48.28138  48.28138
-#> 153       16    4719 7.233304e-03  49.19202  49.19202  49.19202
-#> 154       16    4959 7.346035e-03  44.44043  44.44043  44.44043
-#> 155       16    5119 3.470716e-03  42.17400  42.17400  42.17400
-#> 156       16    5279 3.470716e-03  41.67489  41.67489  41.67489
-#> 157       16    5360 1.130838e-03  37.83849  37.83849  37.83849
-#> 158       16    5835 4.667874e-03  49.26138  49.26138  49.26138
-#> 159       16    6314 1.225586e-04  44.29383  44.29383  44.29383
-#> 160       16    6389 3.759398e-03  47.28266  47.28266  47.28266
-#> 161       17    4880 9.615385e-03  41.81090  41.81090  41.81090
-#> 162       17    5119 1.777196e-02  42.17400  42.17400  42.17400
-#> 163       17    5279 1.910206e-02  41.67489  41.67489  41.67489
-#> 164       17    5280 1.878890e-02  37.89623  37.89623  37.89623
-#> 165       17    5360 1.850057e-02  37.83849  37.83849  37.83849
-#> 166       17    5440 1.732096e-02  37.78075  37.78075  37.78075
-#> 167       17    5519 1.732096e-02  40.92623  40.92623  40.92623
-#> 168       17    6237 2.892335e-03  41.63400  41.63400  41.63400
-#> 169       17    6240 1.325318e-03  37.20337  37.20337  37.20337
-#> 170       17    6396 1.732096e-02  41.46088  41.46088  41.46088
-#> 171       18    5200 2.466742e-02  37.95396  37.95396  37.95396
-#> 172       18    5360 2.505186e-02  37.83849  37.83849  37.83849
-#> 173       18    5439 2.369594e-02  41.17578  41.17578  41.17578
-#> 174       18    5520 2.369594e-02  37.72301  37.72301  37.72301
-#> 175       18    5599 2.309462e-02  40.67667  40.67667  40.67667
-#> 176       18    6159 2.309462e-02  38.92980  38.92980  38.92980
-#> 177       18    6238 2.505186e-02  40.15712  40.15712  40.15712
-#> 178       18    6318 2.466742e-02  39.71575  39.71575  39.71575
-#> 179       18    6319 2.309462e-02  38.43069  38.43069  38.43069
-#> 180       18    6320 2.505186e-02  37.14563  37.14563  37.14563
    +
    +

    Examples

    + 
    pf_access_history(dat_dcpf_histories)
+#>     timestep cell_id      cell_pr    cell_x    cell_y    cell_z
+#> 1          1    2921 1.312336e-04 136.97954 136.97954 136.97954
+#> 2          1    3159 2.364016e-04 137.04983 137.04983 137.04983
+#> 3          1    3237 1.312336e-04 137.88798 137.88798 137.88798
+#> 4          1    3243 2.425569e-04 133.69964 133.69964 133.69964
+#> 5          1    3318 1.942855e-04 136.58845 136.58845 136.58845
+#> 6          1    3320 2.525012e-04 135.27935 135.27935 135.27935
+#> 7          1    3320 2.525012e-04 135.27935 135.27935 135.27935
+#> 8          1    3396 3.947544e-05 137.20907 137.20907 137.20907
+#> 9          1    3559 9.359471e-05 134.48285 134.48285 134.48285
+#> 10         1    3722 1.808832e-05 134.01992 134.01992 134.01992
+#> 11         2    3078 1.876176e-04 138.39286 138.39286 138.39286
+#> 12         2    3079 1.786695e-04 137.60779 137.60779 137.60779
+#> 13         2    3157 2.174004e-04 138.53295 138.53295 138.53295
+#> 14         2    3243 1.663445e-05 133.69964 133.69964 133.69964
+#> 15         2    3315 2.174004e-04 138.55210 138.55210 138.55210
+#> 16         2    3475 1.498497e-04 137.08812 137.08812 137.08812
+#> 17         2    3477 1.498497e-04 135.95305 135.95305 135.95305
+#> 18         2    3478 1.114181e-04 135.38552 135.38552 135.38552
+#> 19         2    3723 2.358249e-04 133.47765 133.47765 133.47765
+#> 20         2    3961 3.630254e-05 136.28141 136.28141 136.28141
+#> 21         3    3157 2.105803e-04 138.53295 138.53295 138.53295
+#> 22         3    3166 1.569277e-04 133.69382 133.69382 133.69382
+#> 23         3    3240 1.647869e-04 135.79381 135.79381 135.79381
+#> 24         3    3317 1.959173e-04 137.24300 137.24300 137.24300
+#> 25         3    3396 2.039494e-04 137.20907 137.20907 137.20907
+#> 26         3    3402 1.909455e-04 133.54282 133.54282 133.54282
+#> 27         3    3406 4.721224e-05 133.14012 133.14012 133.14012
+#> 28         3    3956 4.721224e-05 139.05928 139.05928 139.05928
+#> 29         3    3963 1.647869e-04 135.17026 135.17026 135.17026
+#> 30         3    3963 1.647869e-04 135.17026 135.17026 135.17026
+#> 31         4    3006 1.826367e-04 134.06296 134.06296 134.06296
+#> 32         4    3238 1.901244e-04 137.18992 137.18992 137.18992
+#> 33         4    3317 1.462901e-04 137.24300 137.24300 137.24300
+#> 34         4    3398 1.605168e-04 135.98699 135.98699 135.98699
+#> 35         4    3399 1.226931e-04 135.37594 135.37594 135.37594
+#> 36         4    3565 1.780020e-04 131.98428 131.98428 131.98428
+#> 37         4    3568 2.972360e-05 134.61187 134.61187 134.61187
+#> 38         4    3641 7.047349e-05 133.98912 133.98912 133.98912
+#> 39         4    3801 1.605168e-04 135.13527 135.13527 135.13527
+#> 40         4    3887 9.122633e-05 134.05864 134.05864 134.05864
+#> 41         5    2843 1.236215e-04 135.61930 135.61930 135.61930
+#> 42         5    3005 1.945485e-04 133.75853 133.75853 133.75853
+#> 43         5    3009 1.547789e-04 134.97625 134.97625 134.97625
+#> 44         5    3075 1.236215e-04 140.74807 140.74807 140.74807
+#> 45         5    3235 1.793489e-04 139.28409 139.28409 139.28409
+#> 46         5    3400 1.945485e-04 134.76490 134.76490 134.76490
+#> 47         5    3405 1.236215e-04 132.38837 132.38837 132.38837
+#> 48         5    3719 9.956193e-05 135.64673 135.64673 135.64673
+#> 49         5    3889 1.840187e-04 134.28312 134.28312 134.28312
+#> 50         5    3963 7.100674e-05 135.17026 135.17026 135.17026
+#> 51         6    3000 1.303164e-04 137.33717 137.33717 137.33717
+#> 52         6    3008 2.050845e-04 134.67182 134.67182 134.67182
+#> 53         6    3086 2.019373e-04 133.87839 133.87839 133.87839
+#> 54         6    3317 1.890617e-04 137.24300 137.24300 137.24300
+#> 55         6    3318 4.240359e-05 136.58845 136.58845 136.58845
+#> 56         6    3329 1.049538e-04 135.31153 135.31153 135.31153
+#> 57         6    3397 7.485220e-05 136.59803 136.59803 136.59803
+#> 58         6    3637 1.890617e-04 136.14046 136.14046 136.14046
+#> 59         6    3641 1.553795e-04 133.98912 133.98912 133.98912
+#> 60         6    3886 1.553795e-04 133.94639 133.94639 133.94639
+#> 61         7    2917 2.097557e-04 140.46788 140.46788 140.46788
+#> 62         7    2921 2.726068e-04 136.97954 136.97954 136.97954
+#> 63         7    3083 5.027690e-06 134.46750 134.46750 134.46750
+#> 64         7    3089 2.202607e-04 135.06007 135.06007 135.06007
+#> 65         7    3238 1.759216e-04 137.18992 137.18992 137.18992
+#> 66         7    3247 2.097557e-04 134.08207 134.08207 134.08207
+#> 67         7    3493 1.010473e-04 138.84399 138.84399 138.84399
+#> 68         7    3560 2.097557e-04 133.94945 133.94945 133.94945
+#> 69         7    3568 2.097557e-04 134.61187 134.61187 134.61187
+#> 70         7    3635 2.618707e-04 137.21613 137.21613 137.21613
+#> 71         8    3898 1.152372e-05 129.29372 129.29372 129.29372
+#> 72         8    3898 1.152372e-05 129.29372 129.29372 129.29372
+#> 73         8    3899 4.633050e-06 127.54158 127.54158 127.54158
+#> 74         8    3977 9.706081e-06 129.34083 129.34083 129.34083
+#> 75         8    3977 9.706081e-06 129.34083 129.34083 129.34083
+#> 76         8    3977 9.706081e-06 129.34083 129.34083 129.34083
+#> 77         8    3977 9.706081e-06 129.34083 129.34083 129.34083
+#> 78         8    3977 9.706081e-06 129.34083 129.34083 129.34083
+#> 79         8    3977 9.706081e-06 129.34083 129.34083 129.34083
+#> 80         8    3978 4.633050e-06 127.45341 127.45341 127.45341
+#> 81         9    4063 7.149016e-05 115.49957 115.49957 115.49957
+#> 82         9    4142 2.310167e-04 115.14084 115.14084 115.14084
+#> 83         9    4142 4.406128e-04 115.14084 115.14084 115.14084
+#> 84         9    4221 2.310167e-04 115.05267 115.05267 115.05267
+#> 85         9    4221 2.310167e-04 115.05267 115.05267 115.05267
+#> 86         9    4300 2.310167e-04 115.23507 115.23507 115.23507
+#> 87         9    4301 9.550208e-05 112.80651 112.80651 112.80651
+#> 88         9    4301 1.161212e-04 112.80651 112.80651 112.80651
+#> 89         9    4301 1.161212e-04 112.80651 112.80651 112.80651
+#> 90         9    4380 5.380996e-05 113.12420 113.12420 113.12420
+#> 91        10    4303 1.052208e-03 107.94940 107.94940 107.94940
+#> 92        10    4303 1.052208e-03 107.94940 107.94940 107.94940
+#> 93        10    4304 5.392584e-04 105.52084 105.52084 105.52084
+#> 94        10    4462 8.647521e-04 105.61508 105.61508 105.61508
+#> 95        10    4462 1.052208e-03 105.61508 105.61508 105.61508
+#> 96        10    4463 7.252655e-04 102.91595 102.91595 102.91595
+#> 97        10    4545 2.601637e-04  94.73041  94.73041  94.73041
+#> 98        10    4622 2.359938e-04 100.85219 100.85219 100.85219
+#> 99        10    4783 6.059906e-05  92.84905  92.84905  92.84905
+#> 100       10    4858 1.258733e-05 107.21004 107.21004 107.21004
+#> 101       11    4228 2.570111e-04  96.41540  96.41540  96.41540
+#> 102       11    4387 5.872840e-04  94.50041  94.50041  94.50041
+#> 103       11    4389 4.536843e-04  88.67418  88.67418  88.67418
+#> 104       11    4547 2.833335e-04  89.41252  89.41252  89.41252
+#> 105       11    4548 2.833335e-04  86.75919  86.75919  86.75919
+#> 106       11    4783 2.570111e-04  92.84905  92.84905  92.84905
+#> 107       11    4861 9.417657e-04  97.08341  97.08341  97.08341
+#> 108       11    4862 2.833335e-04  93.70787  93.70787  93.70787
+#> 109       11    4862 1.223956e-03  93.70787  93.70787  93.70787
+#> 110       11    4864 7.898565e-04  86.95679  86.95679  86.95679
+#> 111       12    4389 1.338321e-03  88.67418  88.67418  88.67418
+#> 112       12    4469 1.429464e-03  86.39002  86.39002  86.39002
+#> 113       12    4548 1.475939e-03  86.75919  86.75919  86.75919
+#> 114       12    4705 1.663311e-04  89.15583  89.15583  89.15583
+#> 115       12    4707 6.858919e-04  84.32463  84.32463  84.32463
+#> 116       12    4709 5.298601e-04  79.53754  79.53754  79.53754
+#> 117       12    4943 1.429464e-03  87.81561  87.81561  87.81561
+#> 118       12    5104 9.224773e-04  79.67062  79.67062  79.67062
+#> 119       12    5106 9.224773e-04  74.12384  74.12384  74.12384
+#> 120       12    5265 1.367964e-04  72.85097  72.85097  72.85097
+#> 121       13    4552 9.293680e-04  76.14586  76.14586  76.14586
+#> 122       13    4867 1.509693e-03  79.23674  79.23674  79.23674
+#> 123       13    4871 1.509693e-03  70.70170  70.70170  70.70170
+#> 124       13    4952 8.782483e-05  66.67346  66.67346  66.67346
+#> 125       13    5026 1.816027e-03  76.02283  76.02283  76.02283
+#> 126       13    5029 1.375888e-03  70.40090  70.40090  70.40090
+#> 127       13    5185 1.788159e-03  74.43990  74.43990  74.43990
+#> 128       13    5266 1.816027e-03  71.07040  71.07040  71.07040
+#> 129       13    5345 1.375888e-03  71.26204  71.26204  71.26204
+#> 130       13    5429 6.628176e-04  63.38557  63.38557  63.38557
+#> 131       14    4636 1.353681e-03  63.11225  63.11225  63.11225
+#> 132       14    4716 6.530796e-04  61.62966  61.62966  61.62966
+#> 133       14    4956 5.924068e-04  57.18188  57.18188  57.18188
+#> 134       14    5034 2.641320e-03  61.03102  61.03102  61.03102
+#> 135       14    5036 1.353681e-03  55.69928  55.69928  55.69928
+#> 136       14    5196 6.530796e-04  53.83588  53.83588  53.83588
+#> 137       14    5273 1.353681e-03  59.40138  59.40138  59.40138
+#> 138       14    5513 1.353681e-03  56.11490  56.11490  56.11490
+#> 139       14    5590 2.641320e-03  59.28117  59.28117  59.28117
+#> 140       14    5830 5.924068e-04  55.44025  55.44025  55.44025
+#> 141       15    4717 4.175310e-03  57.48378  57.48378  57.48378
+#> 142       15    4798 3.471003e-03  51.78779  51.78779  51.78779
+#> 143       15    4880 1.523914e-03  41.81090  41.81090  41.81090
+#> 144       15    4956 4.244902e-03  57.18188  57.18188  57.18188
+#> 145       15    4958 2.653108e-03  48.68758  48.68758  48.68758
+#> 146       15    5200 9.517100e-04  37.95396  37.95396  37.95396
+#> 147       15    5280 1.972672e-03  37.89623  37.89623  37.89623
+#> 148       15    5672 3.471003e-03  55.28290  55.28290  55.28290
+#> 149       15    5752 3.849103e-03  54.12580  54.12580  54.12580
+#> 150       15    6069 3.163367e-03  52.65030  52.65030  52.65030
+#> 151       16    4560 3.759398e-03  48.28139  48.28139  48.28139
+#> 152       16    4560 4.667874e-03  48.28139  48.28139  48.28139
+#> 153       16    4719 7.233304e-03  49.19202  49.19202  49.19202
+#> 154       16    4959 7.346035e-03  44.44043  44.44043  44.44043
+#> 155       16    5119 3.470716e-03  42.17400  42.17400  42.17400
+#> 156       16    5279 3.470716e-03  41.67489  41.67489  41.67489
+#> 157       16    5360 1.130838e-03  37.83849  37.83849  37.83849
+#> 158       16    5835 4.667874e-03  49.26139  49.26139  49.26139
+#> 159       16    6314 1.225586e-04  44.29383  44.29383  44.29383
+#> 160       16    6389 3.759398e-03  47.28266  47.28266  47.28266
+#> 161       17    4880 9.615385e-03  41.81090  41.81090  41.81090
+#> 162       17    5119 1.777196e-02  42.17400  42.17400  42.17400
+#> 163       17    5279 1.910206e-02  41.67489  41.67489  41.67489
+#> 164       17    5280 1.878890e-02  37.89623  37.89623  37.89623
+#> 165       17    5360 1.850057e-02  37.83849  37.83849  37.83849
+#> 166       17    5440 1.732096e-02  37.78075  37.78075  37.78075
+#> 167       17    5519 1.732096e-02  40.92623  40.92623  40.92623
+#> 168       17    6237 2.892335e-03  41.63400  41.63400  41.63400
+#> 169       17    6240 1.325318e-03  37.20337  37.20337  37.20337
+#> 170       17    6396 1.732096e-02  41.46088  41.46088  41.46088
+#> 171       18    5200 2.466742e-02  37.95396  37.95396  37.95396
+#> 172       18    5360 2.505186e-02  37.83849  37.83849  37.83849
+#> 173       18    5439 2.369594e-02  41.17578  41.17578  41.17578
+#> 174       18    5520 2.369594e-02  37.72301  37.72301  37.72301
+#> 175       18    5599 2.309462e-02  40.67668  40.67668  40.67668
+#> 176       18    6159 2.309462e-02  38.92980  38.92980  38.92980
+#> 177       18    6238 2.505186e-02  40.15712  40.15712  40.15712
+#> 178       18    6318 2.466742e-02  39.71575  39.71575  39.71575
+#> 179       18    6319 2.309462e-02  38.43069  38.43069  38.43069
+#> 180       18    6320 2.505186e-02  37.14563  37.14563  37.14563
+
    +
    +
    -
    - - + + diff --git a/docs/reference/pf_access_history_files.html b/docs/reference/pf_access_history_files.html index c22cc81..87f67d4 100644 --- a/docs/reference/pf_access_history_files.html +++ b/docs/reference/pf_access_history_files.html @@ -1,67 +1,12 @@ - - - - - - - -List `history' files from a PF algorithm — pf_access_history_files • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -List `history' files from a PF algorithm — pf_access_history_files • flapper - - - - + + -
    -
    - -
    - -
    +

    List `history' files from a PF algorithm

    - Source: R/pf_access.R + Source: R/pf_access.R
    -

    This function creates an ordered vector (or list) of `history' files derived from the particle filtering (PF) algorithm (pf). This is applicable if pf is implemented with the write_history argument specified.

    +

    This function creates an ordered vector (or list) of `history' files derived from the particle filtering (PF) algorithm (pf). This is applicable if pf is implemented with the write_history argument specified.

    - 
    pf_access_history_files(
-  root,
-  use_absolute_paths = FALSE,
-  use_list = FALSE,
-  ...
-)
    +
    + 
    pf_access_history_files(
+  root,
+  use_absolute_paths = FALSE,
+  use_list = FALSE,
+  ...
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - -
    root

    A string that defines the directory in which files are located.

    use_absolute_paths

    A logical variable that defines whether to return relative paths (FALSE) or absolute paths (TRUE) (see file_path_as_absolute).

    use_list

    A logical variable that defines whether or not return a vector (use_list = FALSE) or a list (use_list = TRUE).

    ...

    Additional arguments passed to list.files (excluding full.names).

    +
    +

    Arguments

    +
    root
    +

    A string that defines the directory in which files are located.

    -

    Value

    -

    The function returns an ordered list of file paths.

    -

    Details

    +
    use_absolute_paths
    +

    A logical variable that defines whether to return relative paths (FALSE) or absolute paths (TRUE) (see file_path_as_absolute).

    -

    This function requires the stringr package.

    -

    See also

    -

    This function is designed to list outputs from pf (see the write_history argument).

    -

    Author

    +
    use_list
    +

    A logical variable that defines whether or not return a vector (use_list = FALSE) or a list (use_list = TRUE).

    + +
    ...
    +

    Additional arguments passed to list.files (excluding full.names).

    + +
    +
    +

    Value

    + + +

    The function returns an ordered list of file paths.

    +
    +
    +

    Details

    +

    This function requires the stringr package.

    +
    +
    +

    See also

    +

    This function is designed to list outputs from pf (see the write_history argument).

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Example with default arguments
-# Define a directory in which to save files from PF
-root <- paste0(tempdir(), "/pf/")
-dir.create(root)
-
    #> Warning: '/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/pf' already exists
    # Implement the PF algorithm with write_history specified
-# ... For speed, we will implement the algorithm using pre-defined data
-pf_args <- dat_dcpf_histories$args
-pf_args$calc_distance_euclid_fast <- TRUE
-pf_args$write_history             <- list(file = root)
-do.call(pf, pf_args)
-
    #> flapper::pf() called (@ 2022-06-17 10:06:45)... 
-#> ... Setting up function... 
-#> ... Determining the set of possible starting locations (t = 1)... 
-#> ... Implementing algorithm iteratively over time steps... 
-#> ... ... Time = 1... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 2... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 3... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 4... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 5... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 6... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 7... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 8... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 9... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 10... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 11... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 12... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 13... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 14... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 15... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 16... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 17... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 18... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... flapper::pf() call completed (@ 2022-06-17 10:06:46) after ~0.01 minutes. 
    #> $history
-#> $history[[1]]
-#>    id_current   pr_current timestep
-#> 1        3243 2.425569e-04        1
-#> 2        2921 1.312336e-04        1
-#> 3        3396 3.947544e-05        1
-#> 4        3159 2.364016e-04        1
-#> 5        3320 2.525012e-04        1
-#> 6        3237 1.312336e-04        1
-#> 7        3318 1.942855e-04        1
-#> 8        3559 9.359471e-05        1
-#> 9        3722 1.808832e-05        1
-#> 10       3320 2.525012e-04        1
-#> 
-#> $history[[2]]
-#>    id_previous pr_previous id_current   pr_current timestep
-#> 1           NA          NA       3312 1.114181e-04        2
-#> 2           NA          NA       3634 1.498497e-04        2
-#> 3           NA          NA       3167 1.114181e-04        2
-#> 4           NA          NA       3397 2.358249e-04        2
-#> 5           NA          NA       3244 2.358249e-04        2
-#> 6           NA          NA       3003 2.174004e-04        2
-#> 7           NA          NA       2999 2.230610e-04        2
-#> 8           NA          NA       3398 2.358249e-04        2
-#> 9           NA          NA       2997 1.960451e-04        2
-#> 10          NA          NA       3647 4.875953e-05        2
-#> 
-#> $history[[3]]
-#>    id_previous pr_previous id_current   pr_current timestep
-#> 1           NA          NA       3557 1.959173e-04        3
-#> 2           NA          NA       3250 1.569277e-04        3
-#> 3           NA          NA       3089 1.909455e-04        3
-#> 4           NA          NA       3713 2.039494e-04        3
-#> 5           NA          NA       2835 1.721888e-04        3
-#> 6           NA          NA       2844 1.909455e-04        3
-#> 7           NA          NA       3470 1.721888e-04        3
-#> 8           NA          NA       3951 4.721224e-05        3
-#> 9           NA          NA       2923 2.071280e-04        3
-#> 10          NA          NA       3395 1.959173e-04        3
-#> 
-#> $history[[4]]
-#>    id_previous pr_previous id_current   pr_current timestep
-#> 1           NA          NA       2921 1.826367e-04        4
-#> 2           NA          NA       3570 9.881423e-05        4
-#> 3           NA          NA       2603 1.462901e-04        4
-#> 4           NA          NA       3555 1.826367e-04        4
-#> 5           NA          NA       2598 8.394284e-05        4
-#> 6           NA          NA       2515 9.881423e-05        4
-#> 7           NA          NA       3796 1.462901e-04        4
-#> 8           NA          NA       4189 1.226931e-04        4
-#> 9           NA          NA       3472 1.826367e-04        4
-#> 10          NA          NA       3004 1.901244e-04        4
-#> 
-#> $history[[5]]
-#>    id_previous pr_previous id_current   pr_current timestep
-#> 1           NA          NA       3244 1.547789e-04        5
-#> 2           NA          NA       2355 1.840187e-04        5
-#> 3           NA          NA       3626 1.032911e-05        5
-#> 4           NA          NA       2360 1.236215e-04        5
-#> 5           NA          NA       2522 1.915630e-04        5
-#> 6           NA          NA       3325 9.191661e-05        5
-#> 7           NA          NA       3477 1.793489e-04        5
-#> 8           NA          NA       4508 9.191661e-05        5
-#> 9           NA          NA       2839 1.793489e-04        5
-#> 10          NA          NA       4432 8.457801e-05        5
-#> 
-#> $history[[6]]
-#>    id_previous pr_previous id_current   pr_current timestep
-#> 1           NA          NA       4348 1.939844e-04        6
-#> 2           NA          NA       2433 1.890617e-04        6
-#> 3           NA          NA       2756 1.553795e-04        6
-#> 4           NA          NA       2522 2.085028e-04        6
-#> 5           NA          NA       4185 4.674646e-05        6
-#> 6           NA          NA       2363 1.890617e-04        6
-#> 7           NA          NA       3159 1.049538e-04        6
-#> 8           NA          NA       3640 1.303164e-04        6
-#> 9           NA          NA       2353 1.939844e-04        6
-#> 10          NA          NA       3164 2.050845e-04        6
-#> 
-#> $history[[7]]
-#>    id_previous pr_previous id_current   pr_current timestep
-#> 1           NA          NA       3877 1.203601e-04        7
-#> 2           NA          NA       2444 2.726068e-04        7
-#> 3           NA          NA       3078 2.726068e-04        7
-#> 4           NA          NA       1963 6.310574e-05        7
-#> 5           NA          NA       3485 1.308034e-04        7
-#> 6           NA          NA       3316 1.759216e-04        7
-#> 7           NA          NA       3002 2.301544e-04        7
-#> 8           NA          NA       3561 2.726068e-04        7
-#> 9           NA          NA       3887 3.053203e-06        7
-#> 10          NA          NA       3959 1.308034e-04        7
-#> 
-#> $history[[8]]
-#>    id_previous pr_previous id_current  pr_current timestep
-#> 1           NA          NA       4372 4.63305e-06        8
-#> 2           NA          NA       4293 4.63305e-06        8
-#> 3           NA          NA       4372 4.63305e-06        8
-#> 4           NA          NA       4372 4.63305e-06        8
-#> 5           NA          NA       4372 4.63305e-06        8
-#> 6           NA          NA       4293 4.63305e-06        8
-#> 7           NA          NA       4293 4.63305e-06        8
-#> 8           NA          NA       4293 4.63305e-06        8
-#> 9           NA          NA       4293 4.63305e-06        8
-#> 10          NA          NA       4293 4.63305e-06        8
-#> 
-#> $history[[9]]
-#>    id_previous pr_previous id_current   pr_current timestep
-#> 1           NA          NA       4618 4.901427e-05        9
-#> 2           NA          NA       4776 4.901427e-05        9
-#> 3           NA          NA       4379 7.149016e-05        9
-#> 4           NA          NA       4697 4.901427e-05        9
-#> 5           NA          NA       4777 2.185204e-05        9
-#> 6           NA          NA       4458 1.560181e-04        9
-#> 7           NA          NA       4459 5.380996e-05        9
-#> 8           NA          NA       4776 4.901427e-05        9
-#> 9           NA          NA       4697 4.901427e-05        9
-#> 10          NA          NA       4538 9.550208e-05        9
-#> 
-#> $history[[10]]
-#>    id_previous pr_previous id_current   pr_current timestep
-#> 1           NA          NA       4939 0.0009488491       10
-#> 2           NA          NA       5099 0.0004165840       10
-#> 3           NA          NA       5098 0.0005392584       10
-#> 4           NA          NA       4621 0.0009488491       10
-#> 5           NA          NA       4699 0.0011238661       10
-#> 6           NA          NA       4304 0.0002359938       10
-#> 7           NA          NA       5100 0.0002601637       10
-#> 8           NA          NA       4383 0.0005841121       10
-#> 9           NA          NA       4701 0.0008647521       10
-#> 10          NA          NA       4700 0.0010522080       10
-#> 
-#> $history[[11]]
-#>    id_previous pr_previous id_current   pr_current timestep
-#> 1           NA          NA       4308 6.361323e-04       11
-#> 2           NA          NA       5266 6.599593e-05       11
-#> 3           NA          NA       5258 1.175753e-03       11
-#> 4           NA          NA       4229 2.570111e-04       11
-#> 5           NA          NA       5659 2.923330e-05       11
-#> 6           NA          NA       4781 1.243031e-03       11
-#> 7           NA          NA       5102 1.175753e-03       11
-#> 8           NA          NA       4468 4.536843e-04       11
-#> 9           NA          NA       4466 1.033352e-03       11
-#> 10          NA          NA       5345 1.171298e-04       11
-#> 
-#> $history[[12]]
-#>    id_previous pr_previous id_current   pr_current timestep
-#> 1           NA          NA       5820 0.0013383210       12
-#> 2           NA          NA       4628 0.0013731676       12
-#> 3           NA          NA       5022 0.0014517424       12
-#> 4           NA          NA       4154 0.0003001645       12
-#> 5           NA          NA       5667 0.0005298601       12
-#> 6           NA          NA       5430 0.0005298601       12
-#> 7           NA          NA       4310 0.0014294642       12
-#> 8           NA          NA       5508 0.0009224773       12
-#> 9           NA          NA       5030 0.0003309066       12
-#> 10          NA          NA       5586 0.0010998927       12
-#> 
-#> $history[[13]]
-#>    id_previous pr_previous id_current   pr_current timestep
-#> 1           NA          NA       5826 0.0016741450       13
-#> 2           NA          NA       5027 0.0014447953       13
-#> 3           NA          NA       4155 0.0018160272       13
-#> 4           NA          NA       5905 0.0011539540       13
-#> 5           NA          NA       5910 0.0007894996       13
-#> 6           NA          NA       5108 0.0016741450       13
-#> 7           NA          NA       5666 0.0018160272       13
-#> 8           NA          NA       5821 0.0018160272       13
-#> 9           NA          NA       3995 0.0016741450       13
-#> 10          NA          NA       4869 0.0016741450       13
-#> 
-#> $history[[14]]
-#>    id_previous pr_previous id_current  pr_current timestep
-#> 1           NA          NA       5908 0.002710093       14
-#> 2           NA          NA       5905 0.002912924       14
-#> 3           NA          NA       5111 0.002279472       14
-#> 4           NA          NA       5916 0.000222458       14
-#> 5           NA          NA       6071 0.002641320       14
-#> 6           NA          NA       5747 0.002821201       14
-#> 7           NA          NA       6226 0.001353681       14
-#> 8           NA          NA       5825 0.002865169       14
-#> 9           NA          NA       6065 0.002710093       14
-#> 10          NA          NA       5909 0.002865169       14
-#> 
-#> $history[[15]]
-#>    id_previous pr_previous id_current  pr_current timestep
-#> 1           NA          NA       5915 0.004175310       15
-#> 2           NA          NA       5355 0.000951710       15
-#> 3           NA          NA       6306 0.004175310       15
-#> 4           NA          NA       6229 0.003471003       15
-#> 5           NA          NA       6159 0.001815174       15
-#> 6           NA          NA       6228 0.003949324       15
-#> 7           NA          NA       6071 0.004244902       15
-#> 8           NA          NA       5835 0.004111237       15
-#> 9           NA          NA       5829 0.004175310       15
-#> 10          NA          NA       6151 0.004175310       15
-#> 
-#> $history[[16]]
-#>    id_previous pr_previous id_current  pr_current timestep
-#> 1           NA          NA       6390 0.006772105       16
-#> 2           NA          NA       5994 0.007233304       16
-#> 3           NA          NA       6398 0.005565623       16
-#> 4           NA          NA       6312 0.006772105       16
-#> 5           NA          NA       5197 0.006106878       16
-#> 6           NA          NA       5917 0.006948435       16
-#> 7           NA          NA       5998 0.006772105       16
-#> 8           NA          NA       6079 0.007346035       16
-#> 9           NA          NA       6158 0.007346035       16
-#> 10          NA          NA       6158 0.007346035       16
-#> 
-#> $history[[17]]
-#>    id_previous pr_previous id_current  pr_current timestep
-#> 1           NA          NA       5840 0.015619515       17
-#> 2           NA          NA       6239 0.018500566       17
-#> 3           NA          NA       5920 0.017320962       17
-#> 4           NA          NA       5839 0.017320962       17
-#> 5           NA          NA       6078 0.018788897       17
-#> 6           NA          NA       6078 0.018788897       17
-#> 7           NA          NA       5919 0.018500566       17
-#> 8           NA          NA       6397 0.018788897       17
-#> 9           NA          NA       5520 0.004282695       17
-#> 10          NA          NA       6159 0.018788897       17
-#> 
-#> $history[[18]]
-#>    id_previous pr_previous id_current pr_current timestep
-#> 1           NA          NA       5680 0.02369594       18
-#> 2           NA          NA       5680 0.02369594       18
-#> 3           NA          NA       5759 0.02505186       18
-#> 4           NA          NA       6399 0.02369594       18
-#> 5           NA          NA       6079 0.02505186       18
-#> 6           NA          NA       5600 0.02505186       18
-#> 7           NA          NA       5519 0.02505186       18
-#> 8           NA          NA       5440 0.02505186       18
-#> 9           NA          NA       6240 0.02505186       18
-#> 10          NA          NA       6000 0.02505186       18
-#> 
-#> 
-#> $method
-#> [1] "pf"
-#> 
-#> $args
-#> $args$record
-#> $args$record[[1]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.0002624672  (min, max)
-#> 
-#> 
-#> $args$record[[2]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.000241371  (min, max)
-#> 
-#> 
-#> $args$record[[3]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.0002119992  (min, max)
-#> 
-#> 
-#> $args$record[[4]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.0001976285  (min, max)
-#> 
-#> 
-#> $args$record[[5]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.0001991239  (min, max)
-#> 
-#> 
-#> $args$record[[6]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.0002099076  (min, max)
-#> 
-#> 
-#> $args$record[[7]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.0002833664  (min, max)
-#> 
-#> 
-#> $args$record[[8]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.000547046  (min, max)
-#> 
-#> 
-#> $args$record[[9]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.001037344  (min, max)
-#> 
-#> 
-#> $args$record[[10]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.001168224  (min, max)
-#> 
-#> 
-#> $args$record[[11]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.001272265  (min, max)
-#> 
-#> 
-#> $args$record[[12]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.001485884  (min, max)
-#> 
-#> 
-#> $args$record[[13]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.001858736  (min, max)
-#> 
-#> 
-#> $args$record[[14]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.002932551  (min, max)
-#> 
-#> 
-#> $args$record[[15]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.004273504  (min, max)
-#> 
-#> 
-#> $args$record[[16]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.007518797  (min, max)
-#> 
-#> 
-#> $args$record[[17]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.01923077  (min, max)
-#> 
-#> 
-#> $args$record[[18]]
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.02564103  (min, max)
-#> 
-#> 
-#> 
-#> $args$data
-#> NULL
-#> 
-#> $args$origin
-#>          [,1]    [,2]
-#> [1,] 708886.3 6254404
-#> 
-#> $args$calc_distance
-#> [1] "euclid"
-#> 
-#> $args$calc_distance_euclid_fast
-#> [1] TRUE
-#> 
-#> $args$bathy
-#> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 37.08789, 192.5775  (min, max)
-#> 
-#> 
-#> $args$calc_distance_graph
-#> NULL
-#> 
-#> $args$calc_movement_pr
-#> function(distance,...) {
-#>                  pr <- stats::plogis(5 + distance * -0.05)
-#>                  pr[distance > 200] <- 0
-#>                  return(pr)
-#>                }
-#> <bytecode: 0x7fb84c291820>
-#> 
-#> $args$calc_movement_pr_from_origin
-#> function(distance,...) {
-#>                  pr <- stats::plogis(5 + distance * -0.05)
-#>                  pr[distance > 200] <- 0
-#>                  return(pr)
-#>                }
-#> <bytecode: 0x7fb84c28dac0>
-#> 
-#> $args$mobility
-#> [1] 200
-#> 
-#> $args$mobility_from_origin
-#> [1] 200
-#> 
-#> $args$n
-#> [1] 10
-#> 
-#> $args$resample
-#> NULL
-#> 
-#> $args$update_history
-#> NULL
-#> 
-#> $args$update_history_from_time_step
-#> [1] 1
-#> 
-#> $args$write_history
-#> $args$write_history$file
-#> [1] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/pf/"
-#> 
-#> 
-#> $args$cl
-#> NULL
-#> 
-#> $args$use_all_cores
-#> [1] FALSE
-#> 
-#> $args$seed
-#> [1] 5
-#> 
-#> $args$verbose
-#> [1] TRUE
-#> 
-#> $args$optimisers
-#> $use_raster_operations
-#> [1] TRUE
-#> 
-#> $use_calc_distance_euclid_backend_grass
-#> [1] FALSE
-#> 
-#> $use_grass_dir
-#> NULL
-#> 
-#> attr(,"class")
-#> [1] "list"         "pf_optimiser"
-#> 
-#> 
-#> attr(,"class")
-#> [1] "list"       "pf_archive"
    # List the files
-files <- pf_access_history_files(root)
-utils::head(files)
-
    #> [1] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/pf//pf_1.rds"
-#> [2] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/pf//pf_2.rds"
-#> [3] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/pf//pf_3.rds"
-#> [4] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/pf//pf_4.rds"
-#> [5] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/pf//pf_5.rds"
-#> [6] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/pf//pf_6.rds"
    
-
    +
    +

    Examples

    + 
    #### Example (1): Example with default arguments
+# Define a directory in which to save files from PF
+root <- paste0(tempdir(), "/pf/")
+dir.create(root)
+#> Warning: '/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/pf' already exists
+# Implement the PF algorithm with write_history specified
+# ... For speed, we will implement the algorithm using pre-defined data
+pf_args <- dat_dcpf_histories$args
+pf_args$calc_distance_euclid_fast <- TRUE
+pf_args$write_history             <- list(file = root)
+do.call(pf, pf_args)
+#> flapper::pf() called (@ 2023-02-19 15:02:43)... 
+#> ... Setting up function... 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Implementing algorithm iteratively over time steps... 
+#> ... ... Time = 1... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 2... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 3... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 4... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 5... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 6... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 7... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 8... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 9... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 10... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 11... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 12... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 13... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 14... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 15... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 16... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 17... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 18... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... flapper::pf() call completed (@ 2023-02-19 15:02:44) after ~0.01 minutes. 
+#> $history
+#> $history[[1]]
+#>    id_current   pr_current timestep
+#> 1        3243 2.425569e-04        1
+#> 2        2921 1.312336e-04        1
+#> 3        3396 3.947544e-05        1
+#> 4        3159 2.364016e-04        1
+#> 5        3320 2.525012e-04        1
+#> 6        3237 1.312336e-04        1
+#> 7        3318 1.942855e-04        1
+#> 8        3559 9.359471e-05        1
+#> 9        3722 1.808832e-05        1
+#> 10       3320 2.525012e-04        1
+#> 
+#> $history[[2]]
+#>    id_previous pr_previous id_current   pr_current timestep
+#> 1           NA          NA       3312 1.114181e-04        2
+#> 2           NA          NA       3634 1.498497e-04        2
+#> 3           NA          NA       3167 1.114181e-04        2
+#> 4           NA          NA       3397 2.358249e-04        2
+#> 5           NA          NA       3244 2.358249e-04        2
+#> 6           NA          NA       3003 2.174004e-04        2
+#> 7           NA          NA       2999 2.230610e-04        2
+#> 8           NA          NA       3398 2.358249e-04        2
+#> 9           NA          NA       2997 1.960451e-04        2
+#> 10          NA          NA       3647 4.875953e-05        2
+#> 
+#> $history[[3]]
+#>    id_previous pr_previous id_current   pr_current timestep
+#> 1           NA          NA       3557 1.959173e-04        3
+#> 2           NA          NA       3250 1.569277e-04        3
+#> 3           NA          NA       3089 1.909455e-04        3
+#> 4           NA          NA       3713 2.039494e-04        3
+#> 5           NA          NA       2835 1.721888e-04        3
+#> 6           NA          NA       2844 1.909455e-04        3
+#> 7           NA          NA       3470 1.721888e-04        3
+#> 8           NA          NA       3951 4.721224e-05        3
+#> 9           NA          NA       2923 2.071280e-04        3
+#> 10          NA          NA       3395 1.959173e-04        3
+#> 
+#> $history[[4]]
+#>    id_previous pr_previous id_current   pr_current timestep
+#> 1           NA          NA       2921 1.826367e-04        4
+#> 2           NA          NA       3570 9.881423e-05        4
+#> 3           NA          NA       2603 1.462901e-04        4
+#> 4           NA          NA       3555 1.826367e-04        4
+#> 5           NA          NA       2598 8.394284e-05        4
+#> 6           NA          NA       2515 9.881423e-05        4
+#> 7           NA          NA       3796 1.462901e-04        4
+#> 8           NA          NA       4189 1.226931e-04        4
+#> 9           NA          NA       3472 1.826367e-04        4
+#> 10          NA          NA       3004 1.901244e-04        4
+#> 
+#> $history[[5]]
+#>    id_previous pr_previous id_current   pr_current timestep
+#> 1           NA          NA       3244 1.547789e-04        5
+#> 2           NA          NA       2355 1.840187e-04        5
+#> 3           NA          NA       3626 1.032911e-05        5
+#> 4           NA          NA       2360 1.236215e-04        5
+#> 5           NA          NA       2522 1.915630e-04        5
+#> 6           NA          NA       3325 9.191661e-05        5
+#> 7           NA          NA       3477 1.793489e-04        5
+#> 8           NA          NA       4508 9.191661e-05        5
+#> 9           NA          NA       2839 1.793489e-04        5
+#> 10          NA          NA       4432 8.457801e-05        5
+#> 
+#> $history[[6]]
+#>    id_previous pr_previous id_current   pr_current timestep
+#> 1           NA          NA       4348 1.939844e-04        6
+#> 2           NA          NA       2433 1.890617e-04        6
+#> 3           NA          NA       2756 1.553795e-04        6
+#> 4           NA          NA       2522 2.085028e-04        6
+#> 5           NA          NA       4185 4.674646e-05        6
+#> 6           NA          NA       2363 1.890617e-04        6
+#> 7           NA          NA       3159 1.049538e-04        6
+#> 8           NA          NA       3640 1.303164e-04        6
+#> 9           NA          NA       2353 1.939844e-04        6
+#> 10          NA          NA       3164 2.050845e-04        6
+#> 
+#> $history[[7]]
+#>    id_previous pr_previous id_current   pr_current timestep
+#> 1           NA          NA       3877 1.203601e-04        7
+#> 2           NA          NA       2444 2.726068e-04        7
+#> 3           NA          NA       3078 2.726068e-04        7
+#> 4           NA          NA       1963 6.310574e-05        7
+#> 5           NA          NA       3485 1.308034e-04        7
+#> 6           NA          NA       3316 1.759216e-04        7
+#> 7           NA          NA       3002 2.301544e-04        7
+#> 8           NA          NA       3561 2.726068e-04        7
+#> 9           NA          NA       3887 3.053203e-06        7
+#> 10          NA          NA       3959 1.308034e-04        7
+#> 
+#> $history[[8]]
+#>    id_previous pr_previous id_current  pr_current timestep
+#> 1           NA          NA       4372 4.63305e-06        8
+#> 2           NA          NA       4293 4.63305e-06        8
+#> 3           NA          NA       4372 4.63305e-06        8
+#> 4           NA          NA       4372 4.63305e-06        8
+#> 5           NA          NA       4372 4.63305e-06        8
+#> 6           NA          NA       4293 4.63305e-06        8
+#> 7           NA          NA       4293 4.63305e-06        8
+#> 8           NA          NA       4293 4.63305e-06        8
+#> 9           NA          NA       4293 4.63305e-06        8
+#> 10          NA          NA       4293 4.63305e-06        8
+#> 
+#> $history[[9]]
+#>    id_previous pr_previous id_current   pr_current timestep
+#> 1           NA          NA       4618 4.901427e-05        9
+#> 2           NA          NA       4776 4.901427e-05        9
+#> 3           NA          NA       4379 7.149016e-05        9
+#> 4           NA          NA       4697 4.901427e-05        9
+#> 5           NA          NA       4777 2.185204e-05        9
+#> 6           NA          NA       4458 1.560181e-04        9
+#> 7           NA          NA       4459 5.380996e-05        9
+#> 8           NA          NA       4776 4.901427e-05        9
+#> 9           NA          NA       4697 4.901427e-05        9
+#> 10          NA          NA       4538 9.550208e-05        9
+#> 
+#> $history[[10]]
+#>    id_previous pr_previous id_current   pr_current timestep
+#> 1           NA          NA       4939 0.0009488491       10
+#> 2           NA          NA       5099 0.0004165840       10
+#> 3           NA          NA       5098 0.0005392584       10
+#> 4           NA          NA       4621 0.0009488491       10
+#> 5           NA          NA       4699 0.0011238661       10
+#> 6           NA          NA       4304 0.0002359938       10
+#> 7           NA          NA       5100 0.0002601637       10
+#> 8           NA          NA       4383 0.0005841121       10
+#> 9           NA          NA       4701 0.0008647521       10
+#> 10          NA          NA       4700 0.0010522080       10
+#> 
+#> $history[[11]]
+#>    id_previous pr_previous id_current   pr_current timestep
+#> 1           NA          NA       4308 6.361323e-04       11
+#> 2           NA          NA       5266 6.599593e-05       11
+#> 3           NA          NA       5258 1.175753e-03       11
+#> 4           NA          NA       4229 2.570111e-04       11
+#> 5           NA          NA       5659 2.923330e-05       11
+#> 6           NA          NA       4781 1.243031e-03       11
+#> 7           NA          NA       5102 1.175753e-03       11
+#> 8           NA          NA       4468 4.536843e-04       11
+#> 9           NA          NA       4466 1.033352e-03       11
+#> 10          NA          NA       5345 1.171298e-04       11
+#> 
+#> $history[[12]]
+#>    id_previous pr_previous id_current   pr_current timestep
+#> 1           NA          NA       5820 0.0013383210       12
+#> 2           NA          NA       4628 0.0013731676       12
+#> 3           NA          NA       5022 0.0014517424       12
+#> 4           NA          NA       4154 0.0003001645       12
+#> 5           NA          NA       5667 0.0005298601       12
+#> 6           NA          NA       5430 0.0005298601       12
+#> 7           NA          NA       4310 0.0014294642       12
+#> 8           NA          NA       5508 0.0009224773       12
+#> 9           NA          NA       5030 0.0003309066       12
+#> 10          NA          NA       5586 0.0010998927       12
+#> 
+#> $history[[13]]
+#>    id_previous pr_previous id_current   pr_current timestep
+#> 1           NA          NA       5826 0.0016741450       13
+#> 2           NA          NA       5027 0.0014447953       13
+#> 3           NA          NA       4155 0.0018160272       13
+#> 4           NA          NA       5905 0.0011539540       13
+#> 5           NA          NA       5910 0.0007894996       13
+#> 6           NA          NA       5108 0.0016741450       13
+#> 7           NA          NA       5666 0.0018160272       13
+#> 8           NA          NA       5821 0.0018160272       13
+#> 9           NA          NA       3995 0.0016741450       13
+#> 10          NA          NA       4869 0.0016741450       13
+#> 
+#> $history[[14]]
+#>    id_previous pr_previous id_current  pr_current timestep
+#> 1           NA          NA       5908 0.002710093       14
+#> 2           NA          NA       5905 0.002912924       14
+#> 3           NA          NA       5111 0.002279472       14
+#> 4           NA          NA       5916 0.000222458       14
+#> 5           NA          NA       6071 0.002641320       14
+#> 6           NA          NA       5747 0.002821201       14
+#> 7           NA          NA       6226 0.001353681       14
+#> 8           NA          NA       5825 0.002865169       14
+#> 9           NA          NA       6065 0.002710093       14
+#> 10          NA          NA       5909 0.002865169       14
+#> 
+#> $history[[15]]
+#>    id_previous pr_previous id_current  pr_current timestep
+#> 1           NA          NA       5915 0.004175310       15
+#> 2           NA          NA       5355 0.000951710       15
+#> 3           NA          NA       6306 0.004175310       15
+#> 4           NA          NA       6229 0.003471003       15
+#> 5           NA          NA       6159 0.001815174       15
+#> 6           NA          NA       6228 0.003949324       15
+#> 7           NA          NA       6071 0.004244902       15
+#> 8           NA          NA       5835 0.004111237       15
+#> 9           NA          NA       5829 0.004175310       15
+#> 10          NA          NA       6151 0.004175310       15
+#> 
+#> $history[[16]]
+#>    id_previous pr_previous id_current  pr_current timestep
+#> 1           NA          NA       6390 0.006772105       16
+#> 2           NA          NA       5994 0.007233304       16
+#> 3           NA          NA       6398 0.005565623       16
+#> 4           NA          NA       6312 0.006772105       16
+#> 5           NA          NA       5197 0.006106878       16
+#> 6           NA          NA       5917 0.006948435       16
+#> 7           NA          NA       5998 0.006772105       16
+#> 8           NA          NA       6079 0.007346035       16
+#> 9           NA          NA       6158 0.007346035       16
+#> 10          NA          NA       6158 0.007346035       16
+#> 
+#> $history[[17]]
+#>    id_previous pr_previous id_current  pr_current timestep
+#> 1           NA          NA       5840 0.015619515       17
+#> 2           NA          NA       6239 0.018500566       17
+#> 3           NA          NA       5920 0.017320962       17
+#> 4           NA          NA       5839 0.017320962       17
+#> 5           NA          NA       6078 0.018788897       17
+#> 6           NA          NA       6078 0.018788897       17
+#> 7           NA          NA       5919 0.018500566       17
+#> 8           NA          NA       6397 0.018788897       17
+#> 9           NA          NA       5520 0.004282695       17
+#> 10          NA          NA       6159 0.018788897       17
+#> 
+#> $history[[18]]
+#>    id_previous pr_previous id_current pr_current timestep
+#> 1           NA          NA       5680 0.02369594       18
+#> 2           NA          NA       5680 0.02369594       18
+#> 3           NA          NA       5759 0.02505186       18
+#> 4           NA          NA       6399 0.02369594       18
+#> 5           NA          NA       6079 0.02505186       18
+#> 6           NA          NA       5600 0.02505186       18
+#> 7           NA          NA       5519 0.02505186       18
+#> 8           NA          NA       5440 0.02505186       18
+#> 9           NA          NA       6240 0.02505186       18
+#> 10          NA          NA       6000 0.02505186       18
+#> 
+#> 
+#> $method
+#> [1] "pf"
+#> 
+#> $args
+#> $args$record
+#> $args$record[[1]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.0002624672  (min, max)
+#> 
+#> 
+#> $args$record[[2]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.000241371  (min, max)
+#> 
+#> 
+#> $args$record[[3]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.0002119992  (min, max)
+#> 
+#> 
+#> $args$record[[4]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.0001976285  (min, max)
+#> 
+#> 
+#> $args$record[[5]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.0001991239  (min, max)
+#> 
+#> 
+#> $args$record[[6]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.0002099076  (min, max)
+#> 
+#> 
+#> $args$record[[7]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.0002833664  (min, max)
+#> 
+#> 
+#> $args$record[[8]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.000547046  (min, max)
+#> 
+#> 
+#> $args$record[[9]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.001037344  (min, max)
+#> 
+#> 
+#> $args$record[[10]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.001168224  (min, max)
+#> 
+#> 
+#> $args$record[[11]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.001272265  (min, max)
+#> 
+#> 
+#> $args$record[[12]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.001485884  (min, max)
+#> 
+#> 
+#> $args$record[[13]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.001858736  (min, max)
+#> 
+#> 
+#> $args$record[[14]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.002932551  (min, max)
+#> 
+#> 
+#> $args$record[[15]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.004273504  (min, max)
+#> 
+#> 
+#> $args$record[[16]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.007518797  (min, max)
+#> 
+#> 
+#> $args$record[[17]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.01923077  (min, max)
+#> 
+#> 
+#> $args$record[[18]]
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.02564103  (min, max)
+#> 
+#> 
+#> 
+#> $args$data
+#> NULL
+#> 
+#> $args$origin
+#>          [,1]    [,2]
+#> [1,] 708886.3 6254404
+#> 
+#> $args$calc_distance
+#> [1] "euclid"
+#> 
+#> $args$calc_distance_euclid_fast
+#> [1] TRUE
+#> 
+#> $args$bathy
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 37.08789, 192.5775  (min, max)
+#> 
+#> 
+#> $args$calc_distance_graph
+#> NULL
+#> 
+#> $args$calc_movement_pr
+#> function(distance,...) {
+#>                  pr <- stats::plogis(5 + distance * -0.05)
+#>                  pr[distance > 200] <- 0
+#>                  return(pr)
+#>                }
+#> <bytecode: 0x7fb9dd25f8c8>
+#> 
+#> $args$calc_movement_pr_from_origin
+#> function(distance,...) {
+#>                  pr <- stats::plogis(5 + distance * -0.05)
+#>                  pr[distance > 200] <- 0
+#>                  return(pr)
+#>                }
+#> <bytecode: 0x7fb9dd257cf0>
+#> 
+#> $args$mobility
+#> [1] 200
+#> 
+#> $args$mobility_from_origin
+#> [1] 200
+#> 
+#> $args$n
+#> [1] 10
+#> 
+#> $args$resample
+#> NULL
+#> 
+#> $args$update_history
+#> NULL
+#> 
+#> $args$update_history_from_time_step
+#> [1] 1
+#> 
+#> $args$write_history
+#> $args$write_history$file
+#> [1] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/pf/"
+#> 
+#> 
+#> $args$cl
+#> NULL
+#> 
+#> $args$use_all_cores
+#> [1] FALSE
+#> 
+#> $args$seed
+#> [1] 5
+#> 
+#> $args$verbose
+#> [1] TRUE
+#> 
+#> $args$optimisers
+#> $use_raster_operations
+#> [1] TRUE
+#> 
+#> $use_calc_distance_euclid_backend_grass
+#> [1] FALSE
+#> 
+#> $use_grass_dir
+#> NULL
+#> 
+#> attr(,"class")
+#> [1] "list"         "pf_optimiser"
+#> 
+#> 
+#> attr(,"class")
+#> [1] "list"       "pf_archive"
+# List the files
+files <- pf_access_history_files(root)
+utils::head(files)
+#> [1] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/pf//pf_1.rds"
+#> [2] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/pf//pf_2.rds"
+#> [3] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/pf//pf_3.rds"
+#> [4] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/pf//pf_4.rds"
+#> [5] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/pf//pf_5.rds"
+#> [6] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/pf//pf_6.rds"
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/pf_access_particles_unique.html b/docs/reference/pf_access_particles_unique.html index ab8a0cf..31a92a8 100644 --- a/docs/reference/pf_access_particles_unique.html +++ b/docs/reference/pf_access_particles_unique.html @@ -1,67 +1,12 @@ - - - - - - - -Access the cells sampled by PF — pf_access_particles_unique • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Access the cells sampled by PF — pf_access_particles_unique • flapper - - + + - - -
    -
    - -
    - -
    +

    Access the cells sampled by PF

    - Source: R/pf_access.R + Source: R/pf_access.R
    -

    Given a list of particle histories (or a list of file paths), this function accesses the unique particles (cells) sampled by a particle filtering (PF) algorithm (pf).

    +

    Given a list of particle histories (or a list of file paths), this function accesses the unique particles (cells) sampled by a particle filtering (PF) algorithm (pf).

    - 
    pf_access_particles_unique(
-  history,
-  use_memory_safe = FALSE,
-  cl = NULL,
-  varlist = NULL
-)
    +
    + 
    pf_access_particles_unique(
+  history,
+  use_memory_safe = FALSE,
+  cl = NULL,
+  varlist = NULL
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - -
    history

    A pf_archive-class class object from pf, the list of particle histories (the `history' element of a pf_archive-class object) from pf or a list of file paths to particle histories.

    use_memory_safe

    If history is a record of file paths, use_memory_safe is a logical variable that defines whether or not to use the `memory-safe(r)' method to access unique cell samples. If specified, the function sequentially loads each file and re-defines the vector of unique particles at each time step as the unique combination of previous (unique) samples and the samples from the current time step. This may be slow. Alternatively, under the default use_memory_safe = FALSE option, the function loads each file (in parallel if specified), retaining all sampled particles, before selecting the unique particles (once) at the end of this process. This option should be faster.

    cl, varlist

    (optional) Parallelisation options implemented if (a) particle histories are contained in memory or (b) particle histories are supplied as a list of file paths with use_memory_safe = FALSE. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    +
    +

    Arguments

    +
    history
    +

    A pf_archive-class class object from pf, the list of particle histories (the `history' element of a pf_archive-class object) from pf or a list of file paths to particle histories.

    -

    Value

    -

    The function returns a vector of the unique particles sampled by the PF algorithm.

    -

    See also

    +
    use_memory_safe
    +

    If history is a record of file paths, use_memory_safe is a logical variable that defines whether or not to use the `memory-safe(r)' method to access unique cell samples. If specified, the function sequentially loads each file and re-defines the vector of unique particles at each time step as the unique combination of previous (unique) samples and the samples from the current time step. This may be slow. Alternatively, under the default use_memory_safe = FALSE option, the function loads each file (in parallel if specified), retaining all sampled particles, before selecting the unique particles (once) at the end of this process. This option should be faster.

    -

    pf implements particle filtering.

    -

    Author

    -

    Edward Lavender

    +
    cl, varlist
    +

    (optional) Parallelisation options implemented if (a) particle histories are contained in memory or (b) particle histories are supplied as a list of file paths with use_memory_safe = FALSE. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    + +
    +
    +

    Value

    + -

    Examples

    - 
    #### Example (1): Access unique particles when 'history' exists in memory
-# Access unique particles from a pf_archive object
-pf_access_particles_unique(dat_dcpf_histories)
-
    #>   [1] 3243 2921 3396 3159 3320 3237 3318 3559 3722 3961 3723 3079 3475 3478 3078
-#>  [16] 3157 3477 3315 3317 3166 3956 3963 3406 3240 3402 3006 3801 3568 3641 3565
-#>  [31] 3398 3238 3887 3399 3235 3005 3889 2843 3009 3400 3075 3405 3719 3329 3397
-#>  [46] 3886 3637 3008 3086 3000 3635 3089 2917 3493 3247 3560 3083 3898 3977 3899
-#>  [61] 3978 4221 4380 4301 4063 4142 4300 4304 4858 4462 4303 4783 4545 4622 4463
-#>  [76] 4862 4861 4387 4547 4548 4389 4864 4228 4705 5104 4943 5106 5265 4709 4469
-#>  [91] 4707 5429 4552 4871 4867 5026 5029 4952 5185 5266 5345 4716 5830 5196 5273
-#> [106] 5036 5034 5590 4956 4636 5513 4717 4798 5200 6069 4958 4880 5672 5752 5280
-#> [121] 4560 6389 4719 5360 4959 5119 5835 5279 6314 6237 5440 5519 6240 6396 6319
-#> [136] 6159 6318 5520 6238 5599 5439 6320
    # Access unique particles from a list of particle histories
-pf_access_particles_unique(dat_dcpf_histories$history)
-
    #>   [1] 3243 2921 3396 3159 3320 3237 3318 3559 3722 3961 3723 3079 3475 3478 3078
-#>  [16] 3157 3477 3315 3317 3166 3956 3963 3406 3240 3402 3006 3801 3568 3641 3565
-#>  [31] 3398 3238 3887 3399 3235 3005 3889 2843 3009 3400 3075 3405 3719 3329 3397
-#>  [46] 3886 3637 3008 3086 3000 3635 3089 2917 3493 3247 3560 3083 3898 3977 3899
-#>  [61] 3978 4221 4380 4301 4063 4142 4300 4304 4858 4462 4303 4783 4545 4622 4463
-#>  [76] 4862 4861 4387 4547 4548 4389 4864 4228 4705 5104 4943 5106 5265 4709 4469
-#>  [91] 4707 5429 4552 4871 4867 5026 5029 4952 5185 5266 5345 4716 5830 5196 5273
-#> [106] 5036 5034 5590 4956 4636 5513 4717 4798 5200 6069 4958 4880 5672 5752 5280
-#> [121] 4560 6389 4719 5360 4959 5119 5835 5279 6314 6237 5440 5519 6240 6396 6319
-#> [136] 6159 6318 5520 6238 5599 5439 6320
    # Supply a cluster to speed up the algorithm (for very large lists)
-pf_access_particles_unique(dat_dcpf_histories$history,
-                           cl = parallel::makeCluster(2L))
-
    #>   [1] 3243 2921 3396 3159 3320 3237 3318 3559 3722 3961 3723 3079 3475 3478 3078
-#>  [16] 3157 3477 3315 3317 3166 3956 3963 3406 3240 3402 3006 3801 3568 3641 3565
-#>  [31] 3398 3238 3887 3399 3235 3005 3889 2843 3009 3400 3075 3405 3719 3329 3397
-#>  [46] 3886 3637 3008 3086 3000 3635 3089 2917 3493 3247 3560 3083 3898 3977 3899
-#>  [61] 3978 4221 4380 4301 4063 4142 4300 4304 4858 4462 4303 4783 4545 4622 4463
-#>  [76] 4862 4861 4387 4547 4548 4389 4864 4228 4705 5104 4943 5106 5265 4709 4469
-#>  [91] 4707 5429 4552 4871 4867 5026 5029 4952 5185 5266 5345 4716 5830 5196 5273
-#> [106] 5036 5034 5590 4956 4636 5513 4717 4798 5200 6069 4958 4880 5672 5752 5280
-#> [121] 4560 6389 4719 5360 4959 5119 5835 5279 6314 6237 5440 5519 6240 6396 6319
-#> [136] 6159 6318 5520 6238 5599 5439 6320
    
-#### Example (2): Access unique particles when 'history' is a list of file paths
+
    The function returns a vector of the unique particles sampled by the PF algorithm.
    
+    
    
+    
    
+    
    See also
    
+    
    pf implements particle filtering.
    
+    
    
+    
    
+    
    Author
    
+    
    Edward Lavender
    
+    
    
 
-## Write example particle histories to file (to load)
-root <- paste0(tempdir(), "/pf/")
-dir.create(root)
-
    #> Warning: '/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/pf' already exists
    pf_args <- dat_dcpf_histories$args -pf_args$calc_distance_euclid_fast <- TRUE -pf_args$write_history <- list(file = root) -out_pf <- do.call(pf, pf_args) -
    #> flapper::pf() called (@ 2022-06-17 10:06:47)... -#> ... Setting up function... -#> ... Determining the set of possible starting locations (t = 1)... -#> ... Implementing algorithm iteratively over time steps... -#> ... ... Time = 1... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 2... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 3... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 4... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 5... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 6... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 7... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 8... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 9... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 10... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 11... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 12... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 13... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 14... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 15... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 16... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 17... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... ... ... For each particle, getting the possible positions for the next time step... -#> ... ... Time = 18... -#> ... ... ... Selecting candidate starting positions for the current time step... -#> ... flapper::pf() call completed (@ 2022-06-17 10:06:48) after ~0.01 minutes.
    -## Access particle histories using default options (use_memory_safe = FALSE) -# Access particle histories via pf_access_history_files() -pf_access_particles_unique(pf_access_history_files(root, use_list = TRUE)) -
    #> [1] 3243 2921 3396 3159 3320 3237 3318 3559 3722 3312 3634 3167 3397 3244 3003 -#> [16] 2999 3398 2997 3647 3557 3250 3089 3713 2835 2844 3470 3951 2923 3395 3570 -#> [31] 2603 3555 2598 2515 3796 4189 3472 3004 2355 3626 2360 2522 3325 3477 4508 -#> [46] 2839 4432 4348 2433 2756 4185 2363 3640 2353 3164 3877 2444 3078 1963 3485 -#> [61] 3316 3002 3561 3887 3959 4372 4293 4618 4776 4379 4697 4777 4458 4459 4538 -#> [76] 4939 5099 5098 4621 4699 4304 5100 4383 4701 4700 4308 5266 5258 4229 5659 -#> [91] 4781 5102 4468 4466 5345 5820 4628 5022 4154 5667 5430 4310 5508 5030 5586 -#> [106] 5826 5027 4155 5905 5910 5108 5666 5821 3995 4869 5908 5111 5916 6071 5747 -#> [121] 6226 5825 6065 5909 5915 5355 6306 6229 6159 6228 5835 5829 6151 6390 5994 -#> [136] 6398 6312 5197 5917 5998 6079 6158 5840 6239 5920 5839 6078 5919 6397 5520 -#> [151] 5680 5759 6399 5600 5519 5440 6240 6000
    # Supply a cluster to speed up the algorithm (for very large lists) -pf_access_particles_unique(pf_access_history_files(root, use_list = TRUE), - cl = parallel::makeCluster(2L)) -
    #> [1] 3243 2921 3396 3159 3320 3237 3318 3559 3722 3312 3634 3167 3397 3244 3003 -#> [16] 2999 3398 2997 3647 3557 3250 3089 3713 2835 2844 3470 3951 2923 3395 3570 -#> [31] 2603 3555 2598 2515 3796 4189 3472 3004 2355 3626 2360 2522 3325 3477 4508 -#> [46] 2839 4432 4348 2433 2756 4185 2363 3640 2353 3164 3877 2444 3078 1963 3485 -#> [61] 3316 3002 3561 3887 3959 4372 4293 4618 4776 4379 4697 4777 4458 4459 4538 -#> [76] 4939 5099 5098 4621 4699 4304 5100 4383 4701 4700 4308 5266 5258 4229 5659 -#> [91] 4781 5102 4468 4466 5345 5820 4628 5022 4154 5667 5430 4310 5508 5030 5586 -#> [106] 5826 5027 4155 5905 5910 5108 5666 5821 3995 4869 5908 5111 5916 6071 5747 -#> [121] 6226 5825 6065 5909 5915 5355 6306 6229 6159 6228 5835 5829 6151 6390 5994 -#> [136] 6398 6312 5197 5917 5998 6079 6158 5840 6239 5920 5839 6078 5919 6397 5520 -#> [151] 5680 5759 6399 5600 5519 5440 6240 6000
    -## Access particle histories using the 'memory_safe' option -# For large lists, this is likely to be slower -# ... but it may be the only option in some cases. -pf_access_particles_unique(pf_access_history_files(root, use_list = TRUE), - use_memory_safe = TRUE) -
    #> [1] 3243 2921 3396 3159 3320 3237 3318 3559 3722 3312 3634 3167 3397 3244 3003 -#> [16] 2999 3398 2997 3647 3557 3250 3089 3713 2835 2844 3470 3951 2923 3395 3570 -#> [31] 2603 3555 2598 2515 3796 4189 3472 3004 2355 3626 2360 2522 3325 3477 4508 -#> [46] 2839 4432 4348 2433 2756 4185 2363 3640 2353 3164 3877 2444 3078 1963 3485 -#> [61] 3316 3002 3561 3887 3959 4372 4293 4618 4776 4379 4697 4777 4458 4459 4538 -#> [76] 4939 5099 5098 4621 4699 4304 5100 4383 4701 4700 4308 5266 5258 4229 5659 -#> [91] 4781 5102 4468 4466 5345 5820 4628 5022 4154 5667 5430 4310 5508 5030 5586 -#> [106] 5826 5027 4155 5905 5910 5108 5666 5821 3995 4869 5908 5111 5916 6071 5747 -#> [121] 6226 5825 6065 5909 5915 5355 6306 6229 6159 6228 5835 5829 6151 6390 5994 -#> [136] 6398 6312 5197 5917 5998 6079 6158 5840 6239 5920 5839 6078 5919 6397 5520 -#> [151] 5680 5759 6399 5600 5519 5440 6240 6000
    -
    +
    +

    Examples

    + 
    #### Example (1): Access unique particles when 'history' exists in memory
+# Access unique particles from a pf_archive object
+pf_access_particles_unique(dat_dcpf_histories)
+#>   [1] 3243 2921 3396 3159 3320 3237 3318 3559 3722 3961 3723 3079 3475 3478 3078
+#>  [16] 3157 3477 3315 3317 3166 3956 3963 3406 3240 3402 3006 3801 3568 3641 3565
+#>  [31] 3398 3238 3887 3399 3235 3005 3889 2843 3009 3400 3075 3405 3719 3329 3397
+#>  [46] 3886 3637 3008 3086 3000 3635 3089 2917 3493 3247 3560 3083 3898 3977 3899
+#>  [61] 3978 4221 4380 4301 4063 4142 4300 4304 4858 4462 4303 4783 4545 4622 4463
+#>  [76] 4862 4861 4387 4547 4548 4389 4864 4228 4705 5104 4943 5106 5265 4709 4469
+#>  [91] 4707 5429 4552 4871 4867 5026 5029 4952 5185 5266 5345 4716 5830 5196 5273
+#> [106] 5036 5034 5590 4956 4636 5513 4717 4798 5200 6069 4958 4880 5672 5752 5280
+#> [121] 4560 6389 4719 5360 4959 5119 5835 5279 6314 6237 5440 5519 6240 6396 6319
+#> [136] 6159 6318 5520 6238 5599 5439 6320
+# Access unique particles from a list of particle histories
+pf_access_particles_unique(dat_dcpf_histories$history)
+#>   [1] 3243 2921 3396 3159 3320 3237 3318 3559 3722 3961 3723 3079 3475 3478 3078
+#>  [16] 3157 3477 3315 3317 3166 3956 3963 3406 3240 3402 3006 3801 3568 3641 3565
+#>  [31] 3398 3238 3887 3399 3235 3005 3889 2843 3009 3400 3075 3405 3719 3329 3397
+#>  [46] 3886 3637 3008 3086 3000 3635 3089 2917 3493 3247 3560 3083 3898 3977 3899
+#>  [61] 3978 4221 4380 4301 4063 4142 4300 4304 4858 4462 4303 4783 4545 4622 4463
+#>  [76] 4862 4861 4387 4547 4548 4389 4864 4228 4705 5104 4943 5106 5265 4709 4469
+#>  [91] 4707 5429 4552 4871 4867 5026 5029 4952 5185 5266 5345 4716 5830 5196 5273
+#> [106] 5036 5034 5590 4956 4636 5513 4717 4798 5200 6069 4958 4880 5672 5752 5280
+#> [121] 4560 6389 4719 5360 4959 5119 5835 5279 6314 6237 5440 5519 6240 6396 6319
+#> [136] 6159 6318 5520 6238 5599 5439 6320
+# Supply a cluster to speed up the algorithm (for very large lists)
+pf_access_particles_unique(dat_dcpf_histories$history,
+                           cl = parallel::makeCluster(2L))
+#>   [1] 3243 2921 3396 3159 3320 3237 3318 3559 3722 3961 3723 3079 3475 3478 3078
+#>  [16] 3157 3477 3315 3317 3166 3956 3963 3406 3240 3402 3006 3801 3568 3641 3565
+#>  [31] 3398 3238 3887 3399 3235 3005 3889 2843 3009 3400 3075 3405 3719 3329 3397
+#>  [46] 3886 3637 3008 3086 3000 3635 3089 2917 3493 3247 3560 3083 3898 3977 3899
+#>  [61] 3978 4221 4380 4301 4063 4142 4300 4304 4858 4462 4303 4783 4545 4622 4463
+#>  [76] 4862 4861 4387 4547 4548 4389 4864 4228 4705 5104 4943 5106 5265 4709 4469
+#>  [91] 4707 5429 4552 4871 4867 5026 5029 4952 5185 5266 5345 4716 5830 5196 5273
+#> [106] 5036 5034 5590 4956 4636 5513 4717 4798 5200 6069 4958 4880 5672 5752 5280
+#> [121] 4560 6389 4719 5360 4959 5119 5835 5279 6314 6237 5440 5519 6240 6396 6319
+#> [136] 6159 6318 5520 6238 5599 5439 6320
+
+#### Example (2): Access unique particles when 'history' is a list of file paths
+
+## Write example particle histories to file (to load)
+root <- paste0(tempdir(), "/pf/")
+dir.create(root)
+#> Warning: '/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/pf' already exists
+pf_args <- dat_dcpf_histories$args
+pf_args$calc_distance_euclid_fast <- TRUE
+pf_args$write_history <- list(file = root)
+out_pf <- do.call(pf, pf_args)
+#> flapper::pf() called (@ 2023-02-19 15:02:46)... 
+#> ... Setting up function... 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Implementing algorithm iteratively over time steps... 
+#> ... ... Time = 1... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 2... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 3... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 4... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 5... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 6... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 7... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 8... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 9... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 10... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 11... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 12... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 13... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 14... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 15... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 16... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 17... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 18... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... flapper::pf() call completed (@ 2023-02-19 15:02:46) after ~0.01 minutes. 
+
+## Access particle histories using default options (use_memory_safe = FALSE)
+# Access particle histories via pf_access_history_files()
+pf_access_particles_unique(pf_access_history_files(root, use_list = TRUE))
+#>   [1] 3243 2921 3396 3159 3320 3237 3318 3559 3722 3312 3634 3167 3397 3244 3003
+#>  [16] 2999 3398 2997 3647 3557 3250 3089 3713 2835 2844 3470 3951 2923 3395 3570
+#>  [31] 2603 3555 2598 2515 3796 4189 3472 3004 2355 3626 2360 2522 3325 3477 4508
+#>  [46] 2839 4432 4348 2433 2756 4185 2363 3640 2353 3164 3877 2444 3078 1963 3485
+#>  [61] 3316 3002 3561 3887 3959 4372 4293 4618 4776 4379 4697 4777 4458 4459 4538
+#>  [76] 4939 5099 5098 4621 4699 4304 5100 4383 4701 4700 4308 5266 5258 4229 5659
+#>  [91] 4781 5102 4468 4466 5345 5820 4628 5022 4154 5667 5430 4310 5508 5030 5586
+#> [106] 5826 5027 4155 5905 5910 5108 5666 5821 3995 4869 5908 5111 5916 6071 5747
+#> [121] 6226 5825 6065 5909 5915 5355 6306 6229 6159 6228 5835 5829 6151 6390 5994
+#> [136] 6398 6312 5197 5917 5998 6079 6158 5840 6239 5920 5839 6078 5919 6397 5520
+#> [151] 5680 5759 6399 5600 5519 5440 6240 6000
+# Supply a cluster to speed up the algorithm (for very large lists)
+pf_access_particles_unique(pf_access_history_files(root, use_list = TRUE),
+                           cl = parallel::makeCluster(2L))
+#>   [1] 3243 2921 3396 3159 3320 3237 3318 3559 3722 3312 3634 3167 3397 3244 3003
+#>  [16] 2999 3398 2997 3647 3557 3250 3089 3713 2835 2844 3470 3951 2923 3395 3570
+#>  [31] 2603 3555 2598 2515 3796 4189 3472 3004 2355 3626 2360 2522 3325 3477 4508
+#>  [46] 2839 4432 4348 2433 2756 4185 2363 3640 2353 3164 3877 2444 3078 1963 3485
+#>  [61] 3316 3002 3561 3887 3959 4372 4293 4618 4776 4379 4697 4777 4458 4459 4538
+#>  [76] 4939 5099 5098 4621 4699 4304 5100 4383 4701 4700 4308 5266 5258 4229 5659
+#>  [91] 4781 5102 4468 4466 5345 5820 4628 5022 4154 5667 5430 4310 5508 5030 5586
+#> [106] 5826 5027 4155 5905 5910 5108 5666 5821 3995 4869 5908 5111 5916 6071 5747
+#> [121] 6226 5825 6065 5909 5915 5355 6306 6229 6159 6228 5835 5829 6151 6390 5994
+#> [136] 6398 6312 5197 5917 5998 6079 6158 5840 6239 5920 5839 6078 5919 6397 5520
+#> [151] 5680 5759 6399 5600 5519 5440 6240 6000
+
+## Access particle histories using the 'memory_safe' option
+# For large lists, this is likely to be slower
+# ... but it may be the only option in some cases.
+pf_access_particles_unique(pf_access_history_files(root, use_list = TRUE),
+                           use_memory_safe = TRUE)
+#>   [1] 3243 2921 3396 3159 3320 3237 3318 3559 3722 3312 3634 3167 3397 3244 3003
+#>  [16] 2999 3398 2997 3647 3557 3250 3089 3713 2835 2844 3470 3951 2923 3395 3570
+#>  [31] 2603 3555 2598 2515 3796 4189 3472 3004 2355 3626 2360 2522 3325 3477 4508
+#>  [46] 2839 4432 4348 2433 2756 4185 2363 3640 2353 3164 3877 2444 3078 1963 3485
+#>  [61] 3316 3002 3561 3887 3959 4372 4293 4618 4776 4379 4697 4777 4458 4459 4538
+#>  [76] 4939 5099 5098 4621 4699 4304 5100 4383 4701 4700 4308 5266 5258 4229 5659
+#>  [91] 4781 5102 4468 4466 5345 5820 4628 5022 4154 5667 5430 4310 5508 5030 5586
+#> [106] 5826 5027 4155 5905 5910 5108 5666 5821 3995 4869 5908 5111 5916 6071 5747
+#> [121] 6226 5825 6065 5909 5915 5355 6306 6229 6159 6228 5835 5829 6151 6390 5994
+#> [136] 6398 6312 5197 5917 5998 6079 6158 5840 6239 5920 5839 6078 5919 6397 5520
+#> [151] 5680 5759 6399 5600 5519 5440 6240 6000
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/pf_animate_history.html b/docs/reference/pf_animate_history.html index ae1e275..292a2f6 100644 --- a/docs/reference/pf_animate_history.html +++ b/docs/reference/pf_animate_history.html @@ -1,67 +1,12 @@ - - - - - - - -Create a html animation of the PF algorithm(s) — pf_animate_history • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Create a html animation of the PF algorithm(s) — pf_animate_history • flapper + + - - - - -
    -
    - -
    - -
    +

    Create a html animation of the PF algorithm(s)

    - Source: R/pf_analyse_archive.R + Source: R/pf_analyse_archive.R
    -

    This function is a simple wrapper for pf_plot_history and saveHTML which creates an animation of the particle filtering (PF) algorithm(s) over time. To implement this function, a named list of arguments for pf_plot_history, which creates the plots, must be supplied. This is embedded within saveHTML, which creates a folder in the specified directory named `images' that contains a .png file for each time step and an animation as a .html file.

    +

    This function is a simple wrapper for pf_plot_history and saveHTML which creates an animation of the particle filtering (PF) algorithm(s) over time. To implement this function, a named list of arguments for pf_plot_history, which creates the plots, must be supplied. This is embedded within saveHTML, which creates a folder in the specified directory named `images' that contains a .png file for each time step and an animation as a .html file.

    +
    + +
    + 
    pf_animate_history(
+  expr_param,
+  dir = NULL,
+  html_name = "PF_algorithm_demo.html",
+  image_name = "PF",
+  html_title = "Demonstration of PF",
+  html_description = "",
+  navigator = FALSE,
+  ani_height = 1000,
+  ani_width = 1000,
+  ani_res = 150,
+  interval = 0.1,
+  verbose = FALSE,
+  ...
+)
    - 
    pf_animate_history(
-  expr_param,
-  dir = NULL,
-  html_name = "PF_algorithm_demo.html",
-  image_name = "PF",
-  html_title = "Demonstration of PF",
-  html_description = "",
-  navigator = FALSE,
-  ani_height = 800,
-  ani_width = 800,
-  ani_res = 1200,
-  interval = 0.1,
-  verbose = FALSE,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    expr_param

    A named list of arguments, passed to pf_plot_history, to create plots.

    dir

    (optional) A string that defines the directory in which to save files. If unsupplied, if available, dir is taken from html_name using dirname.

    html_name

    A string that defines the name of the html file (see `htmlfile' argument in saveHTML).

    image_name

    A string that defines the names of the individual .png files creates (see `img.name' argument in saveHTML).

    html_title, html_description

    Character strings that provide a title and a description that are displayed within the html animation (see `title' and `description' arguments in saveHTML).

    navigator

    A logical variable that defines whether or not to add a navigator panel to the animation (see `navigator' argument in saveHTML).

    ani_height, ani_width, ani_res

    Numbers that define the size and the resolution of the animation (see `ani.height' `ani.width' and `ani.res' arguments in ani.options).

    interval

    A number that defines the time interval between sequential frames (see `interval' argument in ani.options).

    verbose

    A logical or character variable that defines whether or not, or what, to write as a footer to the html animation (see `verbose' argument in ani.options).

    ...

    Additional arguments passed to ani.options.

    - -

    Value

    - -

    The function produces an animation in .html format in the specified directory. A folder named `images' is also produced which contains the images for each time step. The `css' and `js' folders are also produced by saveHTML which creates the animation.

    -

    Details

    - -

    This function requires the animation package.

    -

    Author

    +
    +

    Arguments

    +
    expr_param
    +

    A named list of arguments, passed to pf_plot_history, to create plots.

    + + +
    dir
    +

    (optional) A string that defines the directory in which to save files. If unsupplied, if available, dir is taken from html_name using dirname.

    + + +
    html_name
    +

    A string that defines the name of the html file (see `htmlfile' argument in saveHTML).

    + + +
    image_name
    +

    A string that defines the names of the individual .png files creates (see `img.name' argument in saveHTML).

    + + +
    html_title, html_description
    +

    Character strings that provide a title and a description that are displayed within the html animation (see `title' and `description' arguments in saveHTML).

    + + +
    navigator
    +

    A logical variable that defines whether or not to add a navigator panel to the animation (see `navigator' argument in saveHTML).

    + +
    ani_height, ani_width, ani_res
    +

    Numbers that define the size and the resolution of the animation (see `ani.height' `ani.width' and `ani.res' arguments in ani.options).

    + + +
    interval
    +

    A number that defines the time interval between sequential frames (see `interval' argument in ani.options).

    + + +
    verbose
    +

    A logical or character variable that defines whether or not, or what, to write as a footer to the html animation (see `verbose' argument in ani.options).

    + + +
    ...
    +

    Additional arguments passed to ani.options.

    + +
    +
    +

    Value

    + + +

    The function produces an animation in .html format in the specified directory. A folder named `images' is also produced which contains the images for each time step. The `css' and `js' folders are also produced by saveHTML which creates the animation.

    +
    +
    +

    Details

    +

    This function requires the animation package.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Create a zoomed-in animation
-pf_animate_history(
-  expr_param = list(archive = dat_dcpf_histories,
-                    add_particles = list(cex = 2.5, pch = 21,
-                                         col = "black", bg = "black"),
-                    prompt = FALSE),
-  dir = tempdir(),
-  interval = 0.25)
-
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> HTML file created at: PF_algorithm_demo.html
    
-#### Example (2): Create a wider scale animation
-boundaries <- raster::extent(dat_coast)
-pf_animate_history(
-  expr_param = list(archive = dat_dcpf_histories,
-                    add_particles = list(cex = 0.5, pch = 21,
-                                          col = "black", bg = "black"),
-                    add_polys = list(x = dat_coast, col = "brown"),
-                    xlim = boundaries[1:2], ylim = boundaries[3:4],
-                    prompt = FALSE),
-  dir = tempdir())
-
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> HTML file created at: PF_algorithm_demo.html
    
-
    +
    +

    Examples

    + 
    #### Example (1): Create a zoomed-in animation
+pf_animate_history(
+  expr_param = list(archive = dat_dcpf_histories,
+                    add_particles = list(cex = 2.5, pch = 21,
+                                         col = "black", bg = "black"),
+                    prompt = FALSE),
+  dir = tempdir(),
+  interval = 0.25)
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> HTML file created at: PF_algorithm_demo.html
+
+#### Example (2): Create a wider scale animation
+boundaries <- raster::extent(dat_coast)
+pf_animate_history(
+  expr_param = list(archive = dat_dcpf_histories,
+                    add_particles = list(cex = 0.5, pch = 21,
+                                          col = "black", bg = "black"),
+                    add_polys = list(x = dat_coast, col = "brown"),
+                    xlim = boundaries[1:2], ylim = boundaries[3:4],
+                    prompt = FALSE),
+  dir = tempdir())
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> HTML file created at: PF_algorithm_demo.html
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/pf_archive-class.html b/docs/reference/pf_archive-class.html index 0dc5253..ae65f3c 100644 --- a/docs/reference/pf_archive-class.html +++ b/docs/reference/pf_archive-class.html @@ -1,67 +1,12 @@ - - - - - - - -"pf_archive" class — pf_archive-class • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -"pf_archive" class — pf_archive-class • flapper + + - - - - -
    -
    - -
    - -
    +

    "pf_archive" class

    - Source: R/pf_classes.R + Source: R/pf_classes.R
    -

    An S3 class that defines the object returned by pf or pf plus pf_simplify with the return = "archive" argument.

    +

    An S3 class that defines the object returned by pf or pf plus pf_simplify with the return = "archive" argument.

    +
    +

    Value

    + + +

    This object is a named list, with three elements, which records the particles sampled at each time step, the method and the parameters used in the call to pf:

    -

    Value

    -

    This object is a named list, with three elements, which records the particles sampled at each time step, the method and the parameters used in the call to pf:

    -
    -
    history

    A list of dataframes, one for each time step, that record particle samples. Each dataframe comprises n rows (one for each particle) and the following five columns: -

      -

    • id_previous. An integer that uniquely defines a previous location on the record rasters. Following implementation of pf, this is absent for the first time step. For subsequent time steps, this is NA if the fast Euclidean distances method has been used, which does not `remember' previous locations, but specified otherwise.) For pf_simplify, id_previous is NA for the fist time step, unless an origin has been specified; for subsequent time steps, id_previous is included.

      • -

    • pr_previous. A double that defines the movement probabilities associated with previous locations. Following implementation of pf, this is absent for the first time step. For subsequent time steps, this is NA if the fast Euclidean distances method has been used, which does not `remember' previous locations, but specified otherwise. For pf_simplify probabilities are included for all time steps.

      • -

    • id_current. An integer that uniquely defines each location on the record rasters.

      • +
      history
      +

      A list of dataframes, one for each time step, that record particle samples. Each dataframe comprises n rows (one for each particle) and the following five columns:

      • id_previous. An integer that uniquely defines a previous location on the record rasters. Following implementation of pf, this is absent for the first time step. For subsequent time steps, this is NA if the fast Euclidean distances method has been used, which does not `remember' previous locations, but specified otherwise.) For pf_simplify, id_previous is NA for the fist time step, unless an origin has been specified; for subsequent time steps, id_previous is included.

        • +

      • pr_previous. A double that defines the movement probabilities associated with previous locations. Following implementation of pf, this is absent for the first time step. For subsequent time steps, this is NA if the fast Euclidean distances method has been used, which does not `remember' previous locations, but specified otherwise. For pf_simplify probabilities are included for all time steps.

        • +

      • id_current. An integer that uniquely defines each location on the record rasters.

      • pr_current. A double that defines the probability of movement into each cell.

      • timestep. An integer that defines each time step.

        • -
      - Following implementations of pf_simplify an additional column is included: -
        -

      • dist_current. A double that defines the distance between id_previous and id_current.

        • -

      +

    Following implementations of pf_simplify an additional column is included:

    • dist_current. A double that defines the distance between id_previous and id_current.

      • +
    -
    method

    A character that defines whether or not history was derived directly from pf (method = "pf"), in which case history contains all of the particles sampled at each time step, or via pf plus pf_simplify with return = "archive" (method = "pf_simplify"), in which case history contains the subset of particles at each time step that were re-sampled at the next time step; for implementations with summarise_pr = TRUE, for particles that were sampled multiple times on a given time step, this only one sample with an adjusted probability score that accounts for the number of times that a location was sampled (see pf_simplify).

    -
    args

    A named list that records the function arguments passed to pf. This is as inputted to pf, but with the `calc_distance_graph' elements added if unsupplied and applicable.

    +
    method
    +

    A character that defines whether or not history was derived directly from pf (method = "pf"), in which case history contains all of the particles sampled at each time step, or via pf plus pf_simplify with return = "archive" (method = "pf_simplify"), in which case history contains the subset of particles at each time step that were re-sampled at the next time step; for implementations with summarise_pr = TRUE, for particles that were sampled multiple times on a given time step, this only one sample with an adjusted probability score that accounts for the number of times that a location was sampled (see pf_simplify).

    -
    +
    args
    +

    A named list that records the function arguments passed to pf. This is as inputted to pf, but with the `calc_distance_graph' elements added if unsupplied and applicable.

    -

    See also

    -

    dat_dcpf_histories provides an example of a pf_archive-class object. pf and pf_simplify return pf_archive-class objects. pf_simplify can also convert pf_archive-class objects into pf_path-class objects that comprise the reconstructed movement paths.

    -

    Author

    +
    +
    +

    See also

    +

    dat_dcpf_histories provides an example of a pf_archive-class object. pf and pf_simplify return pf_archive-class objects. pf_simplify can also convert pf_archive-class objects into pf_path-class objects that comprise the reconstructed movement paths.

    +
    +
    +

    Author

    Edward Lavender

    +
    +
    -
    - - + + diff --git a/docs/reference/pf_kud-1.png b/docs/reference/pf_kud-1.png index dae5611..95b2c5a 100644 Binary files a/docs/reference/pf_kud-1.png and b/docs/reference/pf_kud-1.png differ diff --git a/docs/reference/pf_kud-2.png b/docs/reference/pf_kud-2.png index 0ad61f9..43b53aa 100644 Binary files a/docs/reference/pf_kud-2.png and b/docs/reference/pf_kud-2.png differ diff --git a/docs/reference/pf_kud-3.png b/docs/reference/pf_kud-3.png index 79430c4..143f0fa 100644 Binary files a/docs/reference/pf_kud-3.png and b/docs/reference/pf_kud-3.png differ diff --git a/docs/reference/pf_kud-4.png b/docs/reference/pf_kud-4.png index 84e5fae..9702afb 100644 Binary files a/docs/reference/pf_kud-4.png and b/docs/reference/pf_kud-4.png differ diff --git a/docs/reference/pf_kud-5.png b/docs/reference/pf_kud-5.png index 56fbcc7..3427c7e 100644 Binary files a/docs/reference/pf_kud-5.png and b/docs/reference/pf_kud-5.png differ diff --git a/docs/reference/pf_kud-6.png b/docs/reference/pf_kud-6.png index eacb2c9..a7e00bc 100644 Binary files a/docs/reference/pf_kud-6.png and b/docs/reference/pf_kud-6.png differ diff --git a/docs/reference/pf_kud.html b/docs/reference/pf_kud.html index a5057a4..6793b3a 100644 --- a/docs/reference/pf_kud.html +++ b/docs/reference/pf_kud.html @@ -1,67 +1,12 @@ - - - - - - - -Smooth POU maps — pf_kud • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Smooth POU maps — pf_kud • flapper - - + + - - -
    -
    - -
    - -
    +

    Smooth POU maps

    - Source: R/pf_kud.R + Source: R/pf_kud.R
    -

    This function smooths proportion-of-use (POU) maps (from pf_plot_map) by applying kernel utilisation distribution (KUD) estimation. Depending on the implementation, following optional initial time trials, using a subset, all or an expanded sample of POU locations, the function applies a KUD smoother via a user-supplied estimation routine (i.e., kernelUD or kud_around_coastline). The function extracts the KUD as a raster, applies a spatial mask (e.g., coastline), plots the processed KUD (if specified) and returns this as a raster.

    +

    This function smooths proportion-of-use (POU) maps (from pf_plot_map) by applying kernel utilisation distribution (KUD) estimation. Depending on the implementation, following optional initial time trials, using a subset, all or an expanded sample of POU locations, the function applies a KUD smoother via a user-supplied estimation routine (i.e., kernelUD or kud_around_coastline). The function extracts the KUD as a raster, applies a spatial mask (e.g., coastline), plots the processed KUD (if specified) and returns this as a raster.

    - 
    pf_kud(
-  xpf,
-  sample_size = NULL,
-  estimate_ud = adehabitatHR::kernelUD,
-  grid,
-  ...,
-  trial_cells = list(),
-  trial_grids = list(),
-  mask = NULL,
-  plot = TRUE,
-  verbose = TRUE
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    xpf

    A POU raster object (from pf_plot_map).

    sample_size

    (optional) An integer expansion factor for the number of locations used for KUD estimation. If supplied, \(n\) locations are randomly sampled from xpf with replacement in line with their probability, where \(n = n_{pou} \times sample_size\) and \(n_{pou}\) is the number of non-zero POU scores. This resampling approach avoids treating locations as `relocations'.

    estimate_ud

    A function (either kernelUD or kud_around_coastline) that estimates the KUD.

    grid, ...

    Arguments passed to estimate_ud (and ultimately kernelUD, where they are defined) to estimate the KUD. If kud_around_coastline is supplied to estimate_ud, then grid must be a SpatialPixelsDataFrame. The resultant KUD is resampled onto xpf.

    trial_cells, trial_grids

    (Optional) Lists that define the numbers of locations (cells) and the grids used for time trials. If either trial_cells or trial_grids is supplied, the function implements estimate_ud for small (trial) numbers of cells and any grid(s) specified. If trial_cells is supplied, but not trial_grids, then grid is used for estimation. If trial_grids is supplied but not trial_cells, then time trials are implemented for each grid with 10, 50 and 100 locations. For each grid, the linear regression of the time required to estimate the KUD is plotted against the number of locations and used to predict the time required to fit the KUD to all locations. The user is then asked whether or not to continue with estimation across all locations.

    mask

    (optional) A spatial mask (see mask).

    plot

    A logical input that defines whether or not to plot the KUD.

    verbose

    A logical input that defines whether or not to print messages to the console to monitor function progress.

    - -

    Value

    - -

    The function (a) plots the outcomes of time trials (if requested), (b) estimates and plots a KUD (if requested) and (c) returns a raster of the KUD.

    -

    Details

    +
    + 
    pf_kud(
+  xpf,
+  sample_size = NULL,
+  estimate_ud = adehabitatHR::kernelUD,
+  grid,
+  ...,
+  trial_cells = list(),
+  trial_grids = list(),
+  mask = NULL,
+  plot = TRUE,
+  verbose = TRUE
+)
    +
    -

    For computational efficiency, it may be necessary to aggregate (and renormalise) POU scores across the grid used for estimation before implementing this function.

    -

    Author

    +
    +

    Arguments

    +
    xpf
    +

    A POU raster object (from pf_plot_map).

    + + +
    sample_size
    +

    (optional) An integer expansion factor for the number of locations used for KUD estimation. If supplied, \(n\) locations are randomly sampled from xpf with replacement in line with their probability, where \(n = n_{pou} \times sample_size\) and \(n_{pou}\) is the number of non-zero POU scores. This resampling approach avoids treating locations as `relocations'.

    + + +
    estimate_ud
    +

    A function (either kernelUD or kud_around_coastline) that estimates the KUD.

    + + +
    grid, ...
    +

    Arguments passed to estimate_ud (and ultimately kernelUD, where they are defined) to estimate the KUD. If kud_around_coastline is supplied to estimate_ud, then grid must be a SpatialPixelsDataFrame. The resultant KUD is resampled onto xpf.

    + + +
    trial_cells, trial_grids
    +

    (Optional) Lists that define the numbers of locations (cells) and the grids used for time trials. If either trial_cells or trial_grids is supplied, the function implements estimate_ud for small (trial) numbers of cells and any grid(s) specified. If trial_cells is supplied, but not trial_grids, then grid is used for estimation. If trial_grids is supplied but not trial_cells, then time trials are implemented for each grid with 10, 50 and 100 locations. For each grid, the linear regression of the time required to estimate the KUD is plotted against the number of locations and used to predict the time required to fit the KUD to all locations. The user is then asked whether or not to continue with estimation across all locations.

    + +
    mask
    +

    (optional) A spatial mask (see mask).

    + + +
    plot
    +

    A logical input that defines whether or not to plot the KUD.

    + + +
    verbose
    +

    A logical input that defines whether or not to print messages to the console to monitor function progress.

    + +
    +
    +

    Value

    + + +

    The function (a) plots the outcomes of time trials (if requested), (b) estimates and plots a KUD (if requested) and (c) returns a raster of the KUD.

    +
    +
    +

    Details

    +

    For computational efficiency, it may be necessary to aggregate (and renormalise) POU scores across the grid used for estimation before implementing this function.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Define POU map for examples
-out_dcpf_s   <- pf_simplify(dat_dcpf_histories,
-                            summarise_pr = TRUE,
-                            return = "archive")
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:06:51)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... ... Processing connected cells for return = 'archive'... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:06:52) after ~0 minutes. 
    out_dcpf_pou <- pf_plot_map(out_dcpf_s, dat_dcpf_histories$args$bathy)
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    
-#### Example (1): Implement function using default options
-pf_kud(xpf = out_dcpf_pou, grid = 10)
-
    #> flapper::pf_kud called (@ 2022-06-17 10:06:52)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Getting POU scores... 
-#> ... .... POU scores extracted for 41 locations... 
-#> ... Building SpatialPointsDataFrame... 
-#> ... Implementing KUD estimation based on 41 cells... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    
-#### Example (2): Implement function using resampling
-pf_kud(xpf = out_dcpf_pou, sample_size = 100, grid = 10)
-
    #> flapper::pf_kud called (@ 2022-06-17 10:06:52)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Getting POU scores... 
-#> ... .... POU scores extracted for 41 locations... 
-#> ... Sampling cells... 
-#> ... ... POU locations expanded to 4100 locations... 
-#> ... Building SpatialPointsDataFrame... 
-#> ... Implementing KUD estimation based on 4100 cells... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    
-#### Example (3): Implement time trials
-if(interactive()){
-  # Implement time trials for specified numbers of cells
-  pf_kud(xpf = out_dcpf_pou,
-         sample_size = 100,
-         grid = 60,
-         trial_cells = list(10, 100, 1000, 10000))
-  # Implement time trials for specified grids
-  pf_kud(xpf = out_dcpf_pou,
-         sample_size = 100,
-         grid = 180,
-         trial_grids = list(60, 120, 180))
-  # Implement time trials for specified numbers of cells and grids
-  pf_kud(xpf = out_dcpf_pou,
-         sample_size = 100,
-         grid = 10,
-         trial_cells = list(10, 100, 1000, 10000),
-         trial_grids = list(10, 30, 60))
-}
-
-#### Example (4): Force alignment between POU scores and grids for speed
-# Example with numeric grid
-out_dcpf_pou_agg <-
-  raster::aggregate(out_dcpf_pou, fact = 2)
-out_dcpf_pou_agg <-
-  out_dcpf_pou_agg/raster::cellStats(out_dcpf_pou_agg, "sum")
-grid <- raster::res(out_dcpf_pou_agg)[1]
-pf_kud(out_dcpf_pou_agg, grid = grid)
-
    #> flapper::pf_kud called (@ 2022-06-17 10:06:52)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Getting POU scores... 
-#> ... .... POU scores extracted for 31 locations... 
-#> ... Building SpatialPointsDataFrame... 
-#> ... Implementing KUD estimation based on 31 cells... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    # Example with SpatialPixels grid
-grid <- kud_habitat(out_dcpf_pou_agg)
-
    pf_kud(out_dcpf_pou_agg, grid = grid)
-
    #> flapper::pf_kud called (@ 2022-06-17 10:06:52)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Getting POU scores... 
-#> ... .... POU scores extracted for 31 locations... 
-#> ... Building SpatialPointsDataFrame... 
-#> ... Implementing KUD estimation based on 31 cells... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    
-
    +
    +

    Examples

    + 
    #### Define POU map for examples
+out_dcpf_s   <- pf_simplify(dat_dcpf_histories,
+                            summarise_pr = TRUE,
+                            return = "archive")
+#> flapper::pf_simplify() called (@ 2023-02-19 15:02:52)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... ... Processing connected cells for return = 'archive'... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:02:52) after ~0.01 minutes. 
+out_dcpf_pou <- pf_plot_map(out_dcpf_s, dat_dcpf_histories$args$bathy)
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+
+#### Example (1): Implement function using default options
+pf_kud(xpf = out_dcpf_pou, grid = 10)
+#> flapper::pf_kud called (@ 2023-02-19 15:02:52)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Getting POU scores... 
+#> ... .... POU scores extracted for 41 locations... 
+#> ... Building SpatialPointsDataFrame... 
+#> ... Implementing KUD estimation based on 41 cells... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+
+#### Example (2): Implement function using resampling
+pf_kud(xpf = out_dcpf_pou, sample_size = 100, grid = 10)
+#> flapper::pf_kud called (@ 2023-02-19 15:02:52)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Getting POU scores... 
+#> ... .... POU scores extracted for 41 locations... 
+#> ... Sampling cells... 
+#> ... ... POU locations expanded to 4100 locations... 
+#> ... Building SpatialPointsDataFrame... 
+#> ... Implementing KUD estimation based on 4100 cells... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+
+#### Example (3): Implement time trials
+if(interactive()){
+  # Implement time trials for specified numbers of cells
+  pf_kud(xpf = out_dcpf_pou,
+         sample_size = 100,
+         grid = 60,
+         trial_cells = list(10, 100, 1000, 10000))
+  # Implement time trials for specified grids
+  pf_kud(xpf = out_dcpf_pou,
+         sample_size = 100,
+         grid = 180,
+         trial_grids = list(60, 120, 180))
+  # Implement time trials for specified numbers of cells and grids
+  pf_kud(xpf = out_dcpf_pou,
+         sample_size = 100,
+         grid = 10,
+         trial_cells = list(10, 100, 1000, 10000),
+         trial_grids = list(10, 30, 60))
+}
+
+#### Example (4): Force alignment between POU scores and grids for speed
+# Example with numeric grid
+out_dcpf_pou_agg <-
+  raster::aggregate(out_dcpf_pou, fact = 2)
+out_dcpf_pou_agg <-
+  out_dcpf_pou_agg/raster::cellStats(out_dcpf_pou_agg, "sum")
+grid <- raster::res(out_dcpf_pou_agg)[1]
+pf_kud(out_dcpf_pou_agg, grid = grid)
+#> flapper::pf_kud called (@ 2023-02-19 15:02:52)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Getting POU scores... 
+#> ... .... POU scores extracted for 31 locations... 
+#> ... Building SpatialPointsDataFrame... 
+#> ... Implementing KUD estimation based on 31 cells... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+# Example with SpatialPixels grid
+grid <- kud_habitat(out_dcpf_pou_agg)
+
+pf_kud(out_dcpf_pou_agg, grid = grid)
+#> flapper::pf_kud called (@ 2023-02-19 15:02:53)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Getting POU scores... 
+#> ... .... POU scores extracted for 31 locations... 
+#> ... Building SpatialPointsDataFrame... 
+#> ... Implementing KUD estimation based on 31 cells... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/pf_kud_-1.png b/docs/reference/pf_kud_-1.png index 6c72748..3677e30 100644 Binary files a/docs/reference/pf_kud_-1.png and b/docs/reference/pf_kud_-1.png differ diff --git a/docs/reference/pf_kud_-2.png b/docs/reference/pf_kud_-2.png index a325aa9..29f9691 100644 Binary files a/docs/reference/pf_kud_-2.png and b/docs/reference/pf_kud_-2.png differ diff --git a/docs/reference/pf_kud_-3.png b/docs/reference/pf_kud_-3.png index 4d85438..cd78ae5 100644 Binary files a/docs/reference/pf_kud_-3.png and b/docs/reference/pf_kud_-3.png differ diff --git a/docs/reference/pf_kud_-4.png b/docs/reference/pf_kud_-4.png index 8f7882d..fbf93f1 100644 Binary files a/docs/reference/pf_kud_-4.png and b/docs/reference/pf_kud_-4.png differ diff --git a/docs/reference/pf_kud_-5.png b/docs/reference/pf_kud_-5.png index 4652604..0b5cd84 100644 Binary files a/docs/reference/pf_kud_-5.png and b/docs/reference/pf_kud_-5.png differ diff --git a/docs/reference/pf_kud_.html b/docs/reference/pf_kud_.html index f7baea2..59c71ab 100644 --- a/docs/reference/pf_kud_.html +++ b/docs/reference/pf_kud_.html @@ -1,67 +1,12 @@ - - - - - - - -(Experimental) Alternative kernel smoothing routines for particles or paths from a PF algorithm — pf_kud_ • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -(Experimental) Alternative kernel smoothing routines for particles or paths from a PF algorithm — pf_kud_ • flapper - - - - + + -
    -
    - -
    - -
    +

    (Experimental) Alternative kernel smoothing routines for particles or paths from a PF algorithm

    - Source: R/pf_analyse_either.R + Source: R/pf_analyse_either.R
    -

    These functions are wrappers designed to apply kernel utilisation distribution (KUD) estimation to the outputs of a particle filtering (PF) algorithm. To implement these routines, an (a) pf_archive-class object from pf (plus pf_simplify with the return = "archive" argument) containing particle histories for connected particles or (b) a pf_path-class object containing reconstructed paths must be supplied. Depending on the implementation, using a subset, all or an expanded sample of sampled locations, the functions apply KUD smoother(s) via a user-supplied estimation routine (i.e., kernelUD or kud_around_coastline). The functions extract the utilisation distribution(s) as raster(s), combine distribution(s) (if necessary), apply a spatial mask (e.g. coastline), plot the processed distribution (if specified) and return this as a raster.

    +

    These functions are wrappers designed to apply kernel utilisation distribution (KUD) estimation to the outputs of a particle filtering (PF) algorithm. To implement these routines, an (a) pf_archive-class object from pf (plus pf_simplify with the return = "archive" argument) containing particle histories for connected particles or (b) a pf_path-class object containing reconstructed paths must be supplied. Depending on the implementation, using a subset, all or an expanded sample of sampled locations, the functions apply KUD smoother(s) via a user-supplied estimation routine (i.e., kernelUD or kud_around_coastline). The functions extract the utilisation distribution(s) as raster(s), combine distribution(s) (if necessary), apply a spatial mask (e.g. coastline), plot the processed distribution (if specified) and return this as a raster.

    +
    + +
    + 
    pf_kud_1(
+  xpf,
+  bathy,
+  sample_size = NULL,
+  estimate_ud = adehabitatHR::kernelUD,
+  grid,
+  ...,
+  scale = FALSE,
+  plot_by_time = FALSE,
+  prompt = TRUE,
+  chunks = 1L,
+  cl = NULL,
+  varlist = NULL,
+  mask = NULL,
+  plot = TRUE,
+  verbose = TRUE
+)
+
+pf_kud_2(
+  xpf,
+  bathy,
+  sample_size = NULL,
+  estimate_ud = adehabitatHR::kernelUD,
+  grid,
+  ...,
+  mask = NULL,
+  plot = TRUE,
+  verbose = TRUE
+)
    - 
    pf_kud_1(
-  xpf,
-  bathy,
-  sample_size = NULL,
-  estimate_ud = adehabitatHR::kernelUD,
-  grid,
-  ...,
-  scale = FALSE,
-  plot_by_time = FALSE,
-  prompt = TRUE,
-  chunks = 1L,
-  cl = NULL,
-  varlist = NULL,
-  mask = NULL,
-  plot = TRUE,
-  verbose = TRUE
-)
-
-pf_kud_2(
-  xpf,
-  bathy,
-  sample_size = NULL,
-  estimate_ud = adehabitatHR::kernelUD,
-  grid,
-  ...,
-  mask = NULL,
-  plot = TRUE,
-  verbose = TRUE
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    xpf

    A pf_archive-class object (from pf plus pf_simplify with return = "archive") or a pf_path-class object (from pf plus pf_simplify with return = "path"). For particle-based implementations, for pf_kud_1, pf_simplify should be implemented with summarise_pr = FALSE; for pf_kud_2, pf_simplify should be implemented with summarise_pr = TRUE (see Details).

    bathy

    A raster that defines the grid across which pf was applied. This used to extract cell coordinates and to express KUD(s).

    sample_size

    (optional) An integer that defines the number of particles to sample from (a) particle histories or (b) each path in xpf for KUD estimation. For pf_kud_1, sampling is used to account for particle uncertainty so sample_size should be greater than the number of particle samples at each time step (see Details). If specified, for each time step, sample_size particles are sampled from (a) particle histories or (b) reconstructed paths with replacement in line with their probability. For pf_kud_2, sampling is used to reduce memory requirements and computation time, so sample_size should be lower than the total number of particle samples (per path, if applicable). If specified, sample_size particles are sampled from (a) particle histories or (b) each path with replacement in line with their probability. If sample_size = NULL, all particles are used.

    estimate_ud

    A function (either kernelUD or kud_around_coastline) that estimates kernel utilisation distributions. For pf_kud_1, kud_around_coastline_fast can also be used for faster estimation.

    grid, ...

    Arguments passed to estimate_ud (and ultimately kernelUD, where they are defined) to estimate the kernel utilisation distribution. If kud_around_coastline or kud_around_coastline_fast is supplied to estimate_ud, then grid must be a SpatialPixelsDataFrame. However, note that in all cases, KUD(s) are resampled onto bathy.

    scale

    For pf_kud_1, scale is a logical input that defines whether or not to scale the KUD for each time step such that the most probable locations are assigned a score of one.

    plot_by_time, prompt

    For pf_kud_1, plot_by_time is a logical variable that defines whether or not to plot the cumulative (un-normalised) KUD for each time step. If supplied, prompt is a logical variable that defines whether or not to pause function execution between sequential plots. These arguments are not implemented in parallel (see cl, below).

    chunks, cl, varlist

    For pf_kud_1, chunks, cl and varlist are chunk-wise implementation controls. chunks is an integer that defines the number of chunks into which to split particle/path time series. To minimise memory requirements, within each chunk, a blank map is sequentially updated with the KUD for each time step; the cumulative KUD for each chunk is then summed across chunks to create a single KUD. This approach minimises memory use while facilitating improvements in computation time through the parallel processing of each chunk via cl and varlist. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    mask

    (optional) A spatial mask (see mask).

    plot

    A logical input that defines whether or not to plot the KUD.

    verbose

    A logical input that defines whether or not to print messages to the console to monitor function progress.

    - -

    Value

    - -

    The functions return a raster of the KUD.

    -

    Details

    +
    +

    Arguments

    +
    xpf
    +

    A pf_archive-class object (from pf plus pf_simplify with return = "archive") or a pf_path-class object (from pf plus pf_simplify with return = "path"). For particle-based implementations, for pf_kud_1, pf_simplify should be implemented with summarise_pr = FALSE; for pf_kud_2, pf_simplify should be implemented with summarise_pr = TRUE (see Details).

    + +
    bathy
    +

    A raster that defines the grid across which pf was applied. This used to extract cell coordinates and to express KUD(s).

    + + +
    sample_size
    +

    (optional) An integer that defines the number of particles to sample from (a) particle histories or (b) each path in xpf for KUD estimation. For pf_kud_1, sampling is used to account for particle uncertainty so sample_size should be greater than the number of particle samples at each time step (see Details). If specified, for each time step, sample_size particles are sampled from (a) particle histories or (b) reconstructed paths with replacement in line with their probability. For pf_kud_2, sampling is used to reduce memory requirements and computation time, so sample_size should be lower than the total number of particle samples (per path, if applicable). If specified, sample_size particles are sampled from (a) particle histories or (b) each path with replacement in line with their probability. If sample_size = NULL, all particles are used.

    + + +
    estimate_ud
    +

    A function (either kernelUD or kud_around_coastline) that estimates kernel utilisation distributions. For pf_kud_1, kud_around_coastline_fast can also be used for faster estimation.

    + + +
    grid, ...
    +

    Arguments passed to estimate_ud (and ultimately kernelUD, where they are defined) to estimate the kernel utilisation distribution. If kud_around_coastline or kud_around_coastline_fast is supplied to estimate_ud, then grid must be a SpatialPixelsDataFrame. However, note that in all cases, KUD(s) are resampled onto bathy.

    + + +
    scale
    +

    For pf_kud_1, scale is a logical input that defines whether or not to scale the KUD for each time step such that the most probable locations are assigned a score of one.

    + + +
    plot_by_time, prompt
    +

    For pf_kud_1, plot_by_time is a logical variable that defines whether or not to plot the cumulative (un-normalised) KUD for each time step. If supplied, prompt is a logical variable that defines whether or not to pause function execution between sequential plots. These arguments are not implemented in parallel (see cl, below).

    + + +
    chunks, cl, varlist
    +

    For pf_kud_1, chunks, cl and varlist are chunk-wise implementation controls. chunks is an integer that defines the number of chunks into which to split particle/path time series. To minimise memory requirements, within each chunk, a blank map is sequentially updated with the KUD for each time step; the cumulative KUD for each chunk is then summed across chunks to create a single KUD. This approach minimises memory use while facilitating improvements in computation time through the parallel processing of each chunk via cl and varlist. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    + + +
    mask
    +

    (optional) A spatial mask (see mask).

    + + +
    plot
    +

    A logical input that defines whether or not to plot the KUD.

    + + +
    verbose
    +

    A logical input that defines whether or not to print messages to the console to monitor function progress.

    + +
    +
    +

    Value

    -

    Methods

    -

    These function create smooth KUD representations of particle or path samples from a PF algorithm (see pf_plot_map). Two different methods are implemented.

    -

    Method (1)

    -

    pf_kud_1 implements KUD estimation by fitting a single kernel to sampled locations at each time step; time step-specific kernels are then summed and re-normalised. This method can be implemented for (a) the sampled particles that formed continuous paths from the start to the end of the time series (see pf_simplify) or (b) reconstructed paths. The method has two main advantages. First, the kernel bandwidth is allowed to vary through time. Second, this implementation permits a Bayesian-style resampling process that can be used to account for particle uncertainty. Specifically, at each time step, large numbers of particles can be re-sampled, in line with their probability and with replacement, from the initial list of sampled particles; more probable locations are sampled more often and consequently have more influence on the KUD for each time step, thus accounting for particle probability.

    +

    The functions return a raster of the KUD.

    +
    +
    +

    Details

    + +
    +

    Methods

    +

    These function create smooth KUD representations of particle or path samples from a PF algorithm (see pf_plot_map). Two different methods are implemented.

    +
    + +
    +

    Method (1)

    +

    pf_kud_1 implements KUD estimation by fitting a single kernel to sampled locations at each time step; time step-specific kernels are then summed and re-normalised. This method can be implemented for (a) the sampled particles that formed continuous paths from the start to the end of the time series (see pf_simplify) or (b) reconstructed paths. The method has two main advantages. First, the kernel bandwidth is allowed to vary through time. Second, this implementation permits a Bayesian-style resampling process that can be used to account for particle uncertainty. Specifically, at each time step, large numbers of particles can be re-sampled, in line with their probability and with replacement, from the initial list of sampled particles; more probable locations are sampled more often and consequently have more influence on the KUD for each time step, thus accounting for particle probability.

    A limitation with this method is that the fitting a KUD to each time step can be memory intensive and computationally intensive. To minimise memory requirements, by default (chunks = 1L), the function starts with a blank map and iterates over each time step, sequentially adding KUDs to the map at each step. By continuously updating a single map, this option minimises memory requirements but is slow. A faster option is to split the time series into chunks, implement an iterative option within each chunk, and then join maps for each chunk. The advantage of this option is that memory use remains limited while computation time can be improved by the parallel processing of each chunk. This is implemented via chunks, cl and varlist.

    +
    -

    Method (2)

    +
    +

    Method (2)

    pf_kud_2 implements KUD estimation by fitting a single kernel to all sampled locations or to each path (and then aggregating KUDs across paths). The main advantage of this method is speed: unlike pf_kud_1, KUDs are not fitted to the locations for each time step. The limitations are that kernel bandwidth is constant for all time steps and in most situations re-sampling cannot be used in the same way to account for particle uncertainty (due to memory limitations).

    -

    For particle-based implementations, this method is designed to be implemented for the subset of unique, sampled particles that formed continuous paths from the start to the end of the time series (see pf_simplify and pf_plot_map). These particles are used for KUD estimation. By default, all particles are used, but \(n =\) sample_size particles can be sampled at random, in line with their probability, if specified, for faster KUD estimation. Selected particles are then used to estimate a KUD by effectively treating samples as `relocations', ultimately via kernelUD. This distribution is then processed, plotted and returned.

    -

    For path-based implementations, this function is designed to be implemented for paths reconstructed by pf_simplify. As for the particle-based implementation, for each path, all locations, or random sample of sample_size locations are used to estimate a KUD by treating sampled locations as `relocations'. KUDs are processed and combined across paths into a single, average KUD. The advantage of this approach is that the overall probability of the paths can be incorporated in the estimation procedure via sampling or weights when path-specific KUDs are averaged (although that is not yet implemented).

    - -

    See also

    - -

    pf, pf_simplify, pf_plot_map, kernelUD, kud_around_coastline, kud_around_coastline_fast, eval_by_kud

    -

    Author

    +

    For particle-based implementations, this method is designed to be implemented for the subset of unique, sampled particles that formed continuous paths from the start to the end of the time series (see pf_simplify and pf_plot_map). These particles are used for KUD estimation. By default, all particles are used, but \(n =\) sample_size particles can be sampled at random, in line with their probability, if specified, for faster KUD estimation. Selected particles are then used to estimate a KUD by effectively treating samples as `relocations', ultimately via kernelUD. This distribution is then processed, plotted and returned.

    +

    For path-based implementations, this function is designed to be implemented for paths reconstructed by pf_simplify. As for the particle-based implementation, for each path, all locations, or random sample of sample_size locations are used to estimate a KUD by treating sampled locations as `relocations'. KUDs are processed and combined across paths into a single, average KUD. The advantage of this approach is that the overall probability of the paths can be incorporated in the estimation procedure via sampling or weights when path-specific KUDs are averaged (although that is not yet implemented).

    +
    +
    + +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Define particle samples for smoothing
-# To do this, we will re-implement the pf() for the example dat_dcpf_histories
-# ... dataset, but with a larger number of particles. This is necessary
-# ... because kernel smoothing is only appropriate if there are
-# ... enough locations to permit smoothing.
-set.seed(1)
-dcpf_args <- dat_dcpf_histories$args
-dcpf_args$calc_distance_euclid_fast <- TRUE
-dcpf_args$n <- 250L
-out_dcpf_particles <- do.call(pf, dcpf_args)
-
    #> flapper::pf() called (@ 2022-06-17 10:06:53)... 
-#> ... Setting up function... 
-#> ... Determining the set of possible starting locations (t = 1)... 
-#> ... Implementing algorithm iteratively over time steps... 
-#> ... ... Time = 1... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 2... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 3... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 4... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 5... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 6... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 7... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 8... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 9... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 10... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 11... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 12... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 13... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 14... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 15... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 16... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 17... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 18... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... flapper::pf() call completed (@ 2022-06-17 10:07:02) after ~0.16 minutes. 
    
-#### Process particles and paths
-out_dcpf_particles_1 <-
-  pf_simplify(out_dcpf_particles, return = "archive")
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:07:02)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... ... Processing connected cells for return = 'archive'... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:07:02) after ~0 minutes. 
    out_dcpf_particles_2 <-
-  pf_simplify(out_dcpf_particles, summarise_pr = TRUE, return = "archive")
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:07:02)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... ... Processing connected cells for return = 'archive'... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:07:03) after ~0.01 minutes. 
    out_dcpf_paths <-
-  pf_simplify(out_dcpf_particles, max_n_paths = 100L)
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:07:03)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... Assembling paths... 
-#> ... Formatting paths... 
-#> ... Adding cell coordinates and depths... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:07:03) after ~0 minutes. 
    
-#### Define a grid across which to implement estimation
-# This grid takes values of 0 on land and values of 1 in the sea
-bathy <- out_dcpf_particles$args$bathy
-grid <- raster::raster(raster::extent(bathy), nrows = 100, ncols = 100)
-raster::values(grid) <- 0
-grid <- raster::mask(grid, dat_coast, updatevalue = 1)
-grid <- methods::as(grid, "SpatialPixelsDataFrame")
-
-#### Example (1): Implement pf_kud_1() using default options
-## Implementation based on particles
-pp <- par(mfrow = c(1, 2), mar = c(3, 3, 3, 3))
-pf_kud_1(out_dcpf_particles_1,
-         bathy = bathy,
-         sample_size = 500,
-         estimate_ud = kud_around_coastline_fast, grid = grid)
-
    #> flapper::pf_kud_1() called (@ 2022-06-17 10:07:03)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Processing sampled locations... 
-#> ... Defining chunk(s)... 
-#> ... Implementing KUD estimation over chunk(s)... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::pf_kud_1() call completed (@ 2022-06-17 10:07:05) after ~0.03 minutes. 
    #> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.004891361  (min, max)
-#> 
    ## Implementation based on paths
-if(flapper_run_parallel){
-  pf_kud_1(out_dcpf_paths,
-           bathy = bathy,
-           sample_size = 500,
-           estimate_ud = kud_around_coastline_fast, grid = grid)
-  prettyGraphics::add_sp_path(x = out_dcpf_paths$cell_x,
-                              y = out_dcpf_paths$cell_y,
-                              length = 0.01)
-}
-
    #> flapper::pf_kud_1() called (@ 2022-06-17 10:07:05)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Processing sampled locations... 
-#> ... Defining chunk(s)... 
-#> ... Implementing KUD estimation over chunk(s)... 
    #> Fewer than five unique cells for kernel estimation at time 1.
    #> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::pf_kud_1() call completed (@ 2022-06-17 10:07:06) after ~0.03 minutes. 
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    par(pp)
-
-#### Example (2): Implement pf_kud_2() using default options
-## Implementation based on particles
-pp <- par(mfrow = c(1, 2), mar = c(3, 3, 3, 3))
-pf_kud_2(out_dcpf_particles_2,
-         bathy = bathy,
-         estimate_ud = kud_around_coastline, grid = grid)
-
    #> flapper::pf_kud_2() called (@ 2022-06-17 10:07:06)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Processing sampled locations... 
-#> ... Implementing KUD estimation... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::pf_kud_2() call completed (@ 2022-06-17 10:07:07) after ~0 minutes. 
    #> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : ud 
-#> values     : 0, 0.00101676  (min, max)
-#> 
    ## Implementation based on paths
-pf_kud_2(out_dcpf_paths,
-         bathy = bathy,
-         estimate_ud = kud_around_coastline, grid = grid)
-
    #> flapper::pf_kud_2() called (@ 2022-06-17 10:07:07)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Implementing KUD estimation... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::pf_kud_2() call completed (@ 2022-06-17 10:07:14) after ~0.12 minutes. 
    #> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.0009396509  (min, max)
-#> 
    prettyGraphics::add_sp_path(x = out_dcpf_paths$cell_x, y = out_dcpf_paths$cell_y,
-                            length = 0.01)
-
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    par(pp)
-
-#### Example (3): For improved speed with pf_kud_1(), use parallelisation
-## Implementation based on particles
-pp <- par(mfrow = c(1, 2), mar = c(3, 3, 3, 3))
-pf_kud_1(out_dcpf_particles_1,
-         bathy = bathy,
-         sample_size = 500,
-         estimate_ud = flapper::kud_around_coastline_fast, grid = grid,
-         chunks = 2L,
-         cl = parallel::makeCluster(2L))
-
    #> flapper::pf_kud_1() called (@ 2022-06-17 10:07:14)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Processing sampled locations... 
-#> ... Defining chunk(s)... 
-#> ... Implementing KUD estimation over chunk(s)... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::pf_kud_1() call completed (@ 2022-06-17 10:07:20) after ~0.1 minutes. 
    #> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.004982855  (min, max)
-#> 
    ## Implementation based on paths
-if(flapper_run_parallel){
-  cl <- parallel::makeCluster(2L)
-  parallel::clusterEvalQ(cl = cl, library(raster))
-  pf_kud_1(out_dcpf_paths,
-           bathy = bathy,
-           sample_size = 500,
-           estimate_ud = flapper::kud_around_coastline_fast, grid = grid,
-           chunks = 2L,
-           cl = cl)
-}
-
    #> flapper::pf_kud_1() called (@ 2022-06-17 10:07:23)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Processing sampled locations... 
-#> ... Defining chunk(s)... 
-#> ... Implementing KUD estimation over chunk(s)... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::pf_kud_1() call completed (@ 2022-06-17 10:07:25) after ~0.04 minutes. 
    #> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.08056145  (min, max)
-#> 
    par(pp)
-
-#### Example (4): For improved speed with pf_kud_2(), use sample_size
-## Implementation based on particles
-pp <- par(mfrow = c(1, 2), mar = c(3, 3, 3, 3))
-pf_kud_2(out_dcpf_particles_2,
-         bathy = bathy,
-         sample_size = 50, # sample 50 particles overall
-         estimate_ud = kud_around_coastline, grid = grid)
-
    #> flapper::pf_kud_2() called (@ 2022-06-17 10:07:25)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Processing sampled locations... 
-#> ... Implementing KUD estimation... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::pf_kud_2() call completed (@ 2022-06-17 10:07:26) after ~0 minutes. 
    #> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : ud 
-#> values     : 0, 0.000742768  (min, max)
-#> 
    ## Implementation based on paths
-pf_kud_2(out_dcpf_paths,
-         bathy = bathy,
-         sample_size = 50, # sample 50 particles per path
-         estimate_ud = kud_around_coastline, grid = grid)
-
    #> flapper::pf_kud_2() called (@ 2022-06-17 10:07:26)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> Warning: 'sample_size' is greater than the number of particles.
    #> ... Implementing KUD estimation... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::pf_kud_2() call completed (@ 2022-06-17 10:07:33) after ~0.13 minutes. 
    #> class      : RasterLayer 
-#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
-#> resolution : 25, 25  (x, y)
-#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
-#> crs        : NA 
-#> source     : memory
-#> names      : layer 
-#> values     : 0, 0.02832776  (min, max)
-#> 
    par(pp)
-
-#### Example (5): Compare pf_kud_1() and pf_kud_2()
-pp <- par(mfrow = c(2, 2), mar = c(3, 3, 3, 3))
-kud_1a <- pf_kud_1(xpf = out_dcpf_particles_1,
-                   bathy = out_dcpf_particles$args$bathy,
-                   sample_size = out_dcpf_particles$args$n,
-                   estimate_ud = kud_around_coastline_fast, grid = grid,
-                   plot = TRUE)
-
    #> flapper::pf_kud_1() called (@ 2022-06-17 10:07:33)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Processing sampled locations... 
-#> ... Defining chunk(s)... 
-#> ... Implementing KUD estimation over chunk(s)... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::pf_kud_1() call completed (@ 2022-06-17 10:07:35) after ~0.03 minutes. 
    
-kud_1b <- pf_kud_1(xpf = out_dcpf_particles_1,
-                   bathy = out_dcpf_particles$args$bathy,
-                   sample_size = 500,
-                   estimate_ud = kud_around_coastline_fast, grid = grid,
-                   plot = TRUE)
-
    #> flapper::pf_kud_1() called (@ 2022-06-17 10:07:35)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Processing sampled locations... 
-#> ... Defining chunk(s)... 
-#> ... Implementing KUD estimation over chunk(s)... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::pf_kud_1() call completed (@ 2022-06-17 10:07:36) after ~0.03 minutes. 
    
-kud_1c <- pf_kud_1(xpf = out_dcpf_particles_1,
-                   bathy = out_dcpf_particles$args$bathy,
-                   sample_size = 5000,
-                   estimate_ud = kud_around_coastline_fast, grid = grid,
-                   plot = TRUE)
-
    #> flapper::pf_kud_1() called (@ 2022-06-17 10:07:36)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Processing sampled locations... 
-#> ... Defining chunk(s)... 
-#> ... Implementing KUD estimation over chunk(s)... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::pf_kud_1() call completed (@ 2022-06-17 10:07:40) after ~0.06 minutes. 
    
-kud_1d <- pf_kud_2(xpf = out_dcpf_particles_2,
-                 bathy = out_dcpf_particles$args$bathy,
-                 estimate_ud = kud_around_coastline, grid = grid,
-                 plot = TRUE)
-
    #> flapper::pf_kud_2() called (@ 2022-06-17 10:07:40)... 
-#> ... Setting up function... 
    #> CRS taken as: 'NA'.
    #> ... Processing sampled locations... 
-#> ... Implementing KUD estimation... 
-#> ... Processing KUD(s)... 
-#> ... Plotting KUD... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::pf_kud_2() call completed (@ 2022-06-17 10:07:40) after ~0 minutes. 
    par(pp)
-
-
    +
    +

    Examples

    + 
    #### Define particle samples for smoothing
+# To do this, we will re-implement the pf() for the example dat_dcpf_histories
+# ... dataset, but with a larger number of particles. This is necessary
+# ... because kernel smoothing is only appropriate if there are
+# ... enough locations to permit smoothing.
+set.seed(1)
+dcpf_args <- dat_dcpf_histories$args
+dcpf_args$calc_distance_euclid_fast <- TRUE
+dcpf_args$n <- 250L
+out_dcpf_particles <- do.call(pf, dcpf_args)
+#> flapper::pf() called (@ 2023-02-19 15:02:54)... 
+#> ... Setting up function... 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Implementing algorithm iteratively over time steps... 
+#> ... ... Time = 1... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 2... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 3... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 4... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 5... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 6... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 7... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 8... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 9... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 10... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 11... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 12... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 13... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 14... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 15... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 16... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 17... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 18... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... flapper::pf() call completed (@ 2023-02-19 15:02:59) after ~0.08 minutes. 
+
+#### Process particles and paths
+out_dcpf_particles_1 <-
+  pf_simplify(out_dcpf_particles, return = "archive")
+#> flapper::pf_simplify() called (@ 2023-02-19 15:02:59)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... ... Processing connected cells for return = 'archive'... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:02:59) after ~0.01 minutes. 
+out_dcpf_particles_2 <-
+  pf_simplify(out_dcpf_particles, summarise_pr = TRUE, return = "archive")
+#> flapper::pf_simplify() called (@ 2023-02-19 15:02:59)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... ... Processing connected cells for return = 'archive'... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:03:00) after ~0.02 minutes. 
+out_dcpf_paths <-
+  pf_simplify(out_dcpf_particles, max_n_paths = 100L)
+#> flapper::pf_simplify() called (@ 2023-02-19 15:03:00)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... Assembling paths... 
+#> ... Formatting paths... 
+#> ... Adding cell coordinates and depths... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:03:01) after ~0.01 minutes. 
+
+#### Define a grid across which to implement estimation
+# This grid takes values of 0 on land and values of 1 in the sea
+bathy <- out_dcpf_particles$args$bathy
+grid <- raster::raster(raster::extent(bathy), nrows = 100, ncols = 100)
+raster::values(grid) <- 0
+grid <- raster::mask(grid, dat_coast, updatevalue = 1)
+grid <- methods::as(grid, "SpatialPixelsDataFrame")
+
+#### Example (1): Implement pf_kud_1() using default options
+## Implementation based on particles
+pp <- par(mfrow = c(1, 2), mar = c(3, 3, 3, 3))
+pf_kud_1(out_dcpf_particles_1,
+         bathy = bathy,
+         sample_size = 500,
+         estimate_ud = kud_around_coastline_fast, grid = grid)
+#> flapper::pf_kud_1() called (@ 2023-02-19 15:03:01)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Processing sampled locations... 
+#> ... Defining chunk(s)... 
+#> ... Implementing KUD estimation over chunk(s)... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... flapper::pf_kud_1() call completed (@ 2023-02-19 15:03:02) after ~0.03 minutes. 
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.004903225  (min, max)
+#> 
+## Implementation based on paths
+if(flapper_run_parallel){
+  pf_kud_1(out_dcpf_paths,
+           bathy = bathy,
+           sample_size = 500,
+           estimate_ud = kud_around_coastline_fast, grid = grid)
+  prettyGraphics::add_sp_path(x = out_dcpf_paths$cell_x,
+                              y = out_dcpf_paths$cell_y,
+                              length = 0.01)
+}
+#> flapper::pf_kud_1() called (@ 2023-02-19 15:03:02)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Processing sampled locations... 
+#> ... Defining chunk(s)... 
+#> ... Implementing KUD estimation over chunk(s)... 
+#> Fewer than five unique cells for kernel estimation at time 1.
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... flapper::pf_kud_1() call completed (@ 2023-02-19 15:03:04) after ~0.02 minutes. 
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+
+par(pp)
+
+#### Example (2): Implement pf_kud_2() using default options
+## Implementation based on particles
+pp <- par(mfrow = c(1, 2), mar = c(3, 3, 3, 3))
+pf_kud_2(out_dcpf_particles_2,
+         bathy = bathy,
+         estimate_ud = kud_around_coastline, grid = grid)
+#> flapper::pf_kud_2() called (@ 2023-02-19 15:03:04)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Processing sampled locations... 
+#> ... Implementing KUD estimation... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... flapper::pf_kud_2() call completed (@ 2023-02-19 15:03:04) after ~0 minutes. 
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : ud 
+#> values     : 0, 0.00101676  (min, max)
+#> 
+## Implementation based on paths
+pf_kud_2(out_dcpf_paths,
+         bathy = bathy,
+         estimate_ud = kud_around_coastline, grid = grid)
+#> flapper::pf_kud_2() called (@ 2023-02-19 15:03:04)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Implementing KUD estimation... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... flapper::pf_kud_2() call completed (@ 2023-02-19 15:03:10) after ~0.11 minutes. 
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.0008568799  (min, max)
+#> 
+prettyGraphics::add_sp_path(x = out_dcpf_paths$cell_x, y = out_dcpf_paths$cell_y,
+                            length = 0.01)
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+
+par(pp)
+
+#### Example (3): For improved speed with pf_kud_1(), use parallelisation
+## Implementation based on particles
+pp <- par(mfrow = c(1, 2), mar = c(3, 3, 3, 3))
+pf_kud_1(out_dcpf_particles_1,
+         bathy = bathy,
+         sample_size = 500,
+         estimate_ud = flapper::kud_around_coastline_fast, grid = grid,
+         chunks = 2L,
+         cl = parallel::makeCluster(2L))
+#> flapper::pf_kud_1() called (@ 2023-02-19 15:03:10)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Processing sampled locations... 
+#> ... Defining chunk(s)... 
+#> ... Implementing KUD estimation over chunk(s)... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... flapper::pf_kud_1() call completed (@ 2023-02-19 15:03:17) after ~0.1 minutes. 
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.005133769  (min, max)
+#> 
+## Implementation based on paths
+if(flapper_run_parallel){
+  cl <- parallel::makeCluster(2L)
+  parallel::clusterEvalQ(cl = cl, library(raster))
+  pf_kud_1(out_dcpf_paths,
+           bathy = bathy,
+           sample_size = 500,
+           estimate_ud = flapper::kud_around_coastline_fast, grid = grid,
+           chunks = 2L,
+           cl = cl)
+}
+#> flapper::pf_kud_1() called (@ 2023-02-19 15:03:20)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Processing sampled locations... 
+#> ... Defining chunk(s)... 
+#> ... Implementing KUD estimation over chunk(s)... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... flapper::pf_kud_1() call completed (@ 2023-02-19 15:03:22) after ~0.04 minutes. 
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.0843788  (min, max)
+#> 
+par(pp)
+
+#### Example (4): For improved speed with pf_kud_2(), use sample_size
+## Implementation based on particles
+pp <- par(mfrow = c(1, 2), mar = c(3, 3, 3, 3))
+pf_kud_2(out_dcpf_particles_2,
+         bathy = bathy,
+         sample_size = 50, # sample 50 particles overall
+         estimate_ud = kud_around_coastline, grid = grid)
+#> flapper::pf_kud_2() called (@ 2023-02-19 15:03:22)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Processing sampled locations... 
+#> ... Implementing KUD estimation... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... flapper::pf_kud_2() call completed (@ 2023-02-19 15:03:22) after ~0 minutes. 
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : ud 
+#> values     : 0, 0.0009031049  (min, max)
+#> 
+## Implementation based on paths
+pf_kud_2(out_dcpf_paths,
+         bathy = bathy,
+         sample_size = 50, # sample 50 particles per path
+         estimate_ud = kud_around_coastline, grid = grid)
+#> flapper::pf_kud_2() called (@ 2023-02-19 15:03:22)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> Warning: 'sample_size' is greater than the number of particles.
+#> ... Implementing KUD estimation... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... flapper::pf_kud_2() call completed (@ 2023-02-19 15:03:29) after ~0.11 minutes. 
+#> class      : RasterLayer 
+#> dimensions : 80, 80, 6400  (nrow, ncol, ncell)
+#> resolution : 25, 25  (x, y)
+#> extent     : 707884.6, 709884.6, 6253404, 6255404  (xmin, xmax, ymin, ymax)
+#> crs        : NA 
+#> source     : memory
+#> names      : layer 
+#> values     : 0, 0.01750221  (min, max)
+#> 
+par(pp)
+
+#### Example (5): Compare pf_kud_1() and pf_kud_2()
+pp <- par(mfrow = c(2, 2), mar = c(3, 3, 3, 3))
+kud_1a <- pf_kud_1(xpf = out_dcpf_particles_1,
+                   bathy = out_dcpf_particles$args$bathy,
+                   sample_size = out_dcpf_particles$args$n,
+                   estimate_ud = kud_around_coastline_fast, grid = grid,
+                   plot = TRUE)
+#> flapper::pf_kud_1() called (@ 2023-02-19 15:03:29)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Processing sampled locations... 
+#> ... Defining chunk(s)... 
+#> ... Implementing KUD estimation over chunk(s)... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... flapper::pf_kud_1() call completed (@ 2023-02-19 15:03:30) after ~0.02 minutes. 
+
+kud_1b <- pf_kud_1(xpf = out_dcpf_particles_1,
+                   bathy = out_dcpf_particles$args$bathy,
+                   sample_size = 500,
+                   estimate_ud = kud_around_coastline_fast, grid = grid,
+                   plot = TRUE)
+#> flapper::pf_kud_1() called (@ 2023-02-19 15:03:30)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Processing sampled locations... 
+#> ... Defining chunk(s)... 
+#> ... Implementing KUD estimation over chunk(s)... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... flapper::pf_kud_1() call completed (@ 2023-02-19 15:03:32) after ~0.03 minutes. 
+
+kud_1c <- pf_kud_1(xpf = out_dcpf_particles_1,
+                   bathy = out_dcpf_particles$args$bathy,
+                   sample_size = 5000,
+                   estimate_ud = kud_around_coastline_fast, grid = grid,
+                   plot = TRUE)
+#> flapper::pf_kud_1() called (@ 2023-02-19 15:03:32)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Processing sampled locations... 
+#> ... Defining chunk(s)... 
+#> ... Implementing KUD estimation over chunk(s)... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... flapper::pf_kud_1() call completed (@ 2023-02-19 15:03:36) after ~0.06 minutes. 
+
+kud_1d <- pf_kud_2(xpf = out_dcpf_particles_2,
+                 bathy = out_dcpf_particles$args$bathy,
+                 estimate_ud = kud_around_coastline, grid = grid,
+                 plot = TRUE)
+#> flapper::pf_kud_2() called (@ 2023-02-19 15:03:36)... 
+#> ... Setting up function... 
+#> CRS taken as: 'NA'.
+#> ... Processing sampled locations... 
+#> ... Implementing KUD estimation... 
+#> ... Processing KUD(s)... 
+#> ... Plotting KUD... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... flapper::pf_kud_2() call completed (@ 2023-02-19 15:03:36) after ~0 minutes. 
+par(pp)
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/pf_loglik.html b/docs/reference/pf_loglik.html index 6fefe8d..04512d7 100644 --- a/docs/reference/pf_loglik.html +++ b/docs/reference/pf_loglik.html @@ -1,67 +1,12 @@ - - - - - - - -Calculate the log-probability of movement paths from a PF algorithm — pf_loglik • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Calculate the log-probability of movement paths from a PF algorithm — pf_loglik • flapper - - + + - - -
    -
    - -
    - -
    +

    Calculate the log-probability of movement paths from a PF algorithm

    - Source: R/pf_analyse_path.R + Source: R/pf_analyse_path.R
    @@ -123,81 +65,84 @@

    Calculate the log-probability of movement paths from a PF algorithm

    This function calculates the total log-probability of each movement path reconstructed by a particle filtering (PF) algorithm, including the acoustic-container (AC), depth-contour (DC) or acoustic-container depth-contour (ACDC) algorithms.

    - 
    pf_loglik(paths)
    - -

    Arguments

    - - - - - - -
    paths

    A dataframe containing movement paths from pf plus pf_simplify (see pf_path-class). At a minimum, this should contain a unique identifier for each path (named `path_id') and the probability associated with each cell along each path (`cell_pr').

    +
    + 
    pf_loglik(paths)
    +
    -

    Value

    +
    +

    Arguments

    +
    paths
    +

    A dataframe containing movement paths from pf plus pf_simplify (see pf_path-class). At a minimum, this should contain a unique identifier for each path (named `path_id') and the probability associated with each cell along each path (`cell_pr').

    -

    The function returns a dataframe with the log likelihood (`loglik') of each path (`path_id'). Rows are ordered by log-probability and a `delta' column is provided with the differences in log-probability between the most likely path and every other path.

    -

    Details

    +
    +
    +

    Value

    + +

    The function returns a dataframe with the log likelihood (`loglik') of each path (`path_id'). Rows are ordered by log-probability and a `delta' column is provided with the differences in log-probability between the most likely path and every other path.

    +
    +
    +

    Details

    For each path, at each time step the probability associated with the sampled location depends on (a) the `intrinsic' probability associated with each cell (assigned by the AC, DC or ACDC algorithm) and (b) a user-defined movement model that is driven by the distance between the sampled locations for the individual at the previous and current time steps (and other user-defined parameters). This function simply sums the logarithms of these probabilities for each path as a measure of their relative likelihood, given the movement model.

    -

    Author

    - +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    # An example with the DCPF paths dataset included in flapper
-pf_loglik(dat_dcpf_paths)
-
    #>    path_id    loglik      delta
-#> 1        4 -145.7709 0.00000000
-#> 2        5 -145.8111 0.04017947
-#> 3        3 -145.8431 0.07217439
-#> 4        2 -145.9346 0.16376265
-#> 5        1 -146.8934 1.12246741
-#> 6       19 -147.6582 1.88729381
-#> 7       24 -147.6644 1.89348096
-#> 8       18 -147.6736 1.90275861
-#> 9       23 -147.6798 1.90894575
-#> 10       9 -147.6820 1.91112531
-#> 11      14 -147.6882 1.91731246
-#> 12       8 -147.6975 1.92659011
-#> 13      13 -147.7037 1.93277725
-#> 14      16 -147.7395 1.96864247
-#> 15      17 -147.7395 1.96864247
-#> 16      21 -147.7457 1.97482962
-#> 17      22 -147.7457 1.97482962
-#> 18       6 -147.7634 1.99247397
-#> 19       7 -147.7634 1.99247397
-#> 20      11 -147.7695 1.99866112
-#> 21      12 -147.7695 1.99866112
-#> 22      20 -151.9751 6.20417920
-#> 23      25 -151.9813 6.21036635
-#> 24      10 -151.9989 6.22801070
-#> 25      15 -152.0051 6.23419785
    +
    +

    Examples

    + 
    # An example with the DCPF paths dataset included in flapper
+pf_loglik(dat_dcpf_paths)
+#>    path_id    loglik      delta
+#> 1        4 -145.7709 0.00000000
+#> 2        5 -145.8111 0.04017947
+#> 3        3 -145.8431 0.07217439
+#> 4        2 -145.9346 0.16376265
+#> 5        1 -146.8934 1.12246741
+#> 6       19 -147.6582 1.88729381
+#> 7       24 -147.6644 1.89348096
+#> 8       18 -147.6736 1.90275861
+#> 9       23 -147.6798 1.90894575
+#> 10       9 -147.6820 1.91112531
+#> 11      14 -147.6882 1.91731246
+#> 12       8 -147.6975 1.92659011
+#> 13      13 -147.7037 1.93277725
+#> 14      16 -147.7395 1.96864247
+#> 15      17 -147.7395 1.96864247
+#> 16      21 -147.7457 1.97482962
+#> 17      22 -147.7457 1.97482962
+#> 18       6 -147.7634 1.99247397
+#> 19       7 -147.7634 1.99247397
+#> 20      11 -147.7695 1.99866112
+#> 21      12 -147.7695 1.99866112
+#> 22      20 -151.9751 6.20417920
+#> 23      25 -151.9813 6.21036635
+#> 24      10 -151.9989 6.22801070
+#> 25      15 -152.0051 6.23419785
+
    +
    +
    - - - + + diff --git a/docs/reference/pf_path-class.html b/docs/reference/pf_path-class.html index 7cd8ee2..36b8eec 100644 --- a/docs/reference/pf_path-class.html +++ b/docs/reference/pf_path-class.html @@ -1,67 +1,12 @@ - - - - - - - -"pf" class — pf_path-class • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -"pf" class — pf_path-class • flapper - - - - + + -
    -
    - -
    - -
    +

    "pf" class

    - Source: R/pf_classes.R + Source: R/pf_classes.R
    -

    An S3 class that defines the object returned by pf_simplify with return = "path", following pf.

    +

    An S3 class that defines the object returned by pf_simplify with return = "path", following pf.

    +
    +

    Value

    + -

    Value

    +

    A dataframe with that records the reconstructed paths. This includes a unique identifier for each path, the time step, the location (cell ID and three-dimensional coordinates) on the specified surface (e.g., bathy) and the probability associated with that cell, given movement from the previous cell, in the following columns:

    path_id
    +

    An integer that uniquely defines each path.

    -

    A dataframe with that records the reconstructed paths. This includes a unique identifier for each path, the time step, the location (cell ID and three-dimensional coordinates) on the specified surface (e.g., bathy) and the probability associated with that cell, given movement from the previous cell, in the following columns:

    -
    path_id

    An integer that uniquely defines each path.

    -
    timestep

    An integer that defines each time step. If an origin is supplied to pf and add_origin = TRUE in pf_simplify, then time step 0 refers to the origin. Later time steps refer to sequential depth observations.

    -
    cell_id

    An integer that defines the cells ID of the surface raster (over which paths were reconstructed) retained by the algorithm.

    -
    cell_x

    A double that defines the cell x coordinate.

    -
    cell_y

    A double that defines the cell y coordinate.

    -
    cell_z

    A double that defines the value of the surface raster in each cell. If bathy is unsupplied to pf_simplify and unavailable in the inputted object, this is NA.

    -
    cell_pr

    A double that defines the probability of localisation in each cell, given the `intrinsic' probabilities associated with each cell and the immediately preceding sampled locations (or the origin)'.

    -Rows are ordered by path and then time step. - -
    +
    timestep
    +

    An integer that defines each time step. If an origin is supplied to pf and add_origin = TRUE in pf_simplify, then time step 0 refers to the origin. Later time steps refer to sequential depth observations.

    + +
    cell_id
    +

    An integer that defines the cells ID of the surface raster (over which paths were reconstructed) retained by the algorithm.

    + +
    cell_x
    +

    A double that defines the cell x coordinate.

    -

    See also

    +
    cell_y
    +

    A double that defines the cell y coordinate.

    -

    pf_path-class objects are derived from pf_archive-class objects via pf_simplify. dat_dcpf_paths provides an example.

    -

    Author

    +
    cell_z
    +

    A double that defines the value of the surface raster in each cell. If bathy is unsupplied to pf_simplify and unavailable in the inputted object, this is NA.

    +
    cell_pr
    +

    A double that defines the probability of localisation in each cell, given the `intrinsic' probabilities associated with each cell and the immediately preceding sampled locations (or the origin)'.

    + +Rows are ordered by path and then time step. + +
    +
    +

    See also

    +

    pf_path-class objects are derived from pf_archive-class objects via pf_simplify. dat_dcpf_paths provides an example.

    +
    +
    +

    Author

    Edward Lavender

    +
    +
    -
    - - + + diff --git a/docs/reference/pf_plot_1d-1.png b/docs/reference/pf_plot_1d-1.png index d44a2cb..b3e1ebb 100644 Binary files a/docs/reference/pf_plot_1d-1.png and b/docs/reference/pf_plot_1d-1.png differ diff --git a/docs/reference/pf_plot_1d-2.png b/docs/reference/pf_plot_1d-2.png index 09db098..49d198c 100644 Binary files a/docs/reference/pf_plot_1d-2.png and b/docs/reference/pf_plot_1d-2.png differ diff --git a/docs/reference/pf_plot_1d-3.png b/docs/reference/pf_plot_1d-3.png index b01b789..51d6b31 100644 Binary files a/docs/reference/pf_plot_1d-3.png and b/docs/reference/pf_plot_1d-3.png differ diff --git a/docs/reference/pf_plot_1d-4.png b/docs/reference/pf_plot_1d-4.png index 933465a..09d4697 100644 Binary files a/docs/reference/pf_plot_1d-4.png and b/docs/reference/pf_plot_1d-4.png differ diff --git a/docs/reference/pf_plot_1d.html b/docs/reference/pf_plot_1d.html index 72f158b..02743ab 100644 --- a/docs/reference/pf_plot_1d.html +++ b/docs/reference/pf_plot_1d.html @@ -1,67 +1,12 @@ - - - - - - - -Plot one-dimensional depth time series from a PF algorithm — pf_plot_1d • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Plot one-dimensional depth time series from a PF algorithm — pf_plot_1d • flapper - + + - - - -
    -
    - -
    - -
    +

    Plot one-dimensional depth time series from a PF algorithm

    - Source: R/pf_analyse_path.R + Source: R/pf_analyse_path.R
    @@ -123,108 +65,115 @@

    Plot one-dimensional depth time series from a PF algorithm

    This function plots the observed depth time series and the depth time series associated with each path reconstructed by the depth-contour particle filtering (DCPF) or acoustic-container depth-contour particle filtering (ACDCPF) algorithm.

    - 
    pf_plot_1d(
-  paths,
-  archival,
-  scale = -1,
-  pretty_axis_args = list(side = 3:2),
-  xlab = "Time (index)",
-  ylab = "Depth (m)",
-  type = "b",
-  add_lines = list(col = "royalblue", type = "b"),
-  prompt = FALSE,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - -
    paths

    A dataframe containing reconstructed movement path(s) from pf via pf_simplify (see pf_path-class). At a minimum, this should contain a unique identifier for each path (named `path_id’), timesteps (`timestep') and the depth associated with each cell along each path (`cell_z').

    archival

    A dataframe of depth (m) observations named `depth', as used by dc and acdc.

    scale

    A number that vertically scales the depth time series for the observations and the reconstructed path(s). By default, absolute values for depth are assumed and negated for ease of visualisation.

    pretty_axis_args, xlab, ylab, type, ...

    Plot customisation arguments passed to pretty_plot.

    add_lines

    A named list, passed to lines, to customise the appearance of the depth time series for reconstructed path(s).

    prompt

    A logical input that defines whether or not plot the observed depth time series with each reconstructed depth time series on a separate plot, sequentially, with a pause between plots (prompt = TRUE), or with all reconstructed time series on a single plot (prompt = FALSE).

    - -

    Value

    - -

    The function returns a plot of the observed and reconstructed depth time series, either for all paths at once (if prompt = FALSE) or each path separately (if prompt = TRUE).

    -

    Details

    - -

    Observed and reconstructed depth time series can differ due to measurement error, which is controlled via the calc_depth_error function in the DC and ACDC algorithms (see dc and acdc).

    -

    See also

    - -

    pf implements the pf algorithm. pf_plot_history visualises particle histories, pf_plot_map creates an overall `probability of use' map from particle histories and pf_simplify processes the outputs into a dataframe of movement paths. pf_plot_1d, pf_plot_2d and pf_plot_3d provide plotting routines for paths. pf_loglik calculates the log-probability of each path.

    -

    Author

    +
    + 
    pf_plot_1d(
+  paths,
+  archival,
+  scale = -1,
+  pretty_axis_args = list(side = 3:2),
+  xlab = "Time (index)",
+  ylab = "Depth (m)",
+  type = "b",
+  add_lines = list(col = "royalblue", type = "b"),
+  prompt = FALSE,
+  ...
+)
    +
    + +
    +

    Arguments

    +
    paths
    +

    A dataframe containing reconstructed movement path(s) from pf via pf_simplify (see pf_path-class). At a minimum, this should contain a unique identifier for each path (named `path_id’), timesteps (`timestep') and the depth associated with each cell along each path (`cell_z').

    + + +
    archival
    +

    A dataframe of depth (m) observations named `depth', as used by dc and acdc.

    + + +
    scale
    +

    A number that vertically scales the depth time series for the observations and the reconstructed path(s). By default, absolute values for depth are assumed and negated for ease of visualisation.

    + +
    pretty_axis_args, xlab, ylab, type, ...
    +

    Plot customisation arguments passed to pretty_plot.

    + + +
    add_lines
    +

    A named list, passed to lines, to customise the appearance of the depth time series for reconstructed path(s).

    + + +
    prompt
    +

    A logical input that defines whether or not plot the observed depth time series with each reconstructed depth time series on a separate plot, sequentially, with a pause between plots (prompt = TRUE), or with all reconstructed time series on a single plot (prompt = FALSE).

    + +
    +
    +

    Value

    + + +

    The function returns a plot of the observed and reconstructed depth time series, either for all paths at once (if prompt = FALSE) or each path separately (if prompt = TRUE).

    +
    +
    +

    Details

    +

    Observed and reconstructed depth time series can differ due to measurement error, which is controlled via the calc_depth_error function in the DC and ACDC algorithms (see dc and acdc).

    +
    +
    +

    See also

    +

    pf implements the pf algorithm. pf_plot_history visualises particle histories, pf_plot_map creates an overall `probability of use' map from particle histories and pf_simplify processes the outputs into a dataframe of movement paths. pf_plot_1d, pf_plot_2d and pf_plot_3d provide plotting routines for paths. pf_loglik calculates the log-probability of each path.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Implement pf() algorithm
-# Here, we use pre-defined outputs for speed
-paths    <- dat_dcpf_paths
-archival <- dat_dc$args$archival
-
-#### Example (1): The default implementation
-pf_plot_1d(paths, archival)
-
    
-#### Example (2): Plot customisation options, e.g.:
-pf_plot_1d(paths, archival, scale = 1, pretty_axis_args = list(side = 1:2))
-
    pf_plot_1d(paths, archival, type = "l")
-
    pf_plot_1d(paths, archival, add_lines = list(col = "red", lwd = 0.5))
-
    
-#### Example (3): Plot individual comparisons
-if(interactive()){
-  pp <- graphics::par(mfrow = c(3, 4))
-  pf_plot_1d(paths, depth, prompt = TRUE)
-  graphics::par(pp)
-}
-
-
    +
    +

    Examples

    + 
    #### Implement pf() algorithm
+# Here, we use pre-defined outputs for speed
+paths    <- dat_dcpf_paths
+archival <- dat_dc$args$archival
+
+#### Example (1): The default implementation
+pf_plot_1d(paths, archival)
+
+
+#### Example (2): Plot customisation options, e.g.:
+pf_plot_1d(paths, archival, scale = 1, pretty_axis_args = list(side = 1:2))
+
+pf_plot_1d(paths, archival, type = "l")
+
+pf_plot_1d(paths, archival, add_lines = list(col = "red", lwd = 0.5))
+
+
+#### Example (3): Plot individual comparisons
+if(interactive()){
+  pp <- graphics::par(mfrow = c(3, 4))
+  pf_plot_1d(paths, depth, prompt = TRUE)
+  graphics::par(pp)
+}
+
+
    +
    +
    - - - + + diff --git a/docs/reference/pf_plot_2d-1.png b/docs/reference/pf_plot_2d-1.png index a5befa5..67b26bd 100644 Binary files a/docs/reference/pf_plot_2d-1.png and b/docs/reference/pf_plot_2d-1.png differ diff --git a/docs/reference/pf_plot_2d-2.png b/docs/reference/pf_plot_2d-2.png index 12ddf87..a71ff77 100644 Binary files a/docs/reference/pf_plot_2d-2.png and b/docs/reference/pf_plot_2d-2.png differ diff --git a/docs/reference/pf_plot_2d-3.png b/docs/reference/pf_plot_2d-3.png index aff7c60..31b36c6 100644 Binary files a/docs/reference/pf_plot_2d-3.png and b/docs/reference/pf_plot_2d-3.png differ diff --git a/docs/reference/pf_plot_2d.html b/docs/reference/pf_plot_2d.html index 676fe62..331e03e 100644 --- a/docs/reference/pf_plot_2d.html +++ b/docs/reference/pf_plot_2d.html @@ -1,67 +1,12 @@ - - - - - - - -Map two-dimensional paths from a PF algorithm — pf_plot_2d • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Map two-dimensional paths from a PF algorithm — pf_plot_2d • flapper - + + - - - -
    -
    - -
    - -
    +

    Map two-dimensional paths from a PF algorithm

    - Source: R/pf_analyse_path.R + Source: R/pf_analyse_path.R
    -

    This function is a simple wrapper for pretty_map that maps the paths reconstructed by a particle filtering (PF) algorithm over a surface.

    +

    This function is a simple wrapper for pretty_map that maps the paths reconstructed by a particle filtering (PF) algorithm over a surface.

    - 
    pf_plot_2d(
-  paths,
-  bathy,
-  add_bathy = list(),
-  add_paths = list(),
-  prompt = FALSE,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - -
    paths

    A dataframe containing reconstructed movement path(s) from pf via pf_simplify (see pf_path-class). At a minimum, this should contain a unique identifier for each path (named `path_id') and the x and y coordinates that define the trajectory of each path (`cell_x' and `cell_y').

    bathy

    A raster of the surface over which movement was reconstructed.

    add_bathy

    A named list, passed to pretty_map, to customise the appearance of the bathymetry surface.

    add_paths

    A named list, passed to add_sp_path, to customise the appearance of the paths.

    prompt

    A logical input that defines whether or not plot each path on a separate plot, sequentially, with a pause between plots (prompt = TRUE), or all paths on a single plot (prompt = FALSE).

    ...

    Additional arguments, passed to pretty_map, for plot customisation.

    - -

    Value

    - -

    The function maps the trajectories of reconstructed paths across the surface, returning a single map if prompt = FALSE or one map for each path if prompt = TRUE.

    -

    See also

    - -

    pf implements the pf algorithm. pf_plot_history visualises particle histories, pf_plot_map creates an overall `probability of use' map from particle histories and pf_simplify processes these into a dataframe of movement paths. pf_plot_1d, pf_plot_2d and pf_plot_3d provide plotting routines for paths. For mapping, it can be useful to interpolate shortest (least-cost) paths between sequential locations via lcp_interp. pf_loglik calculates the log-probability of each path.

    -

    Author

    +
    + 
    pf_plot_2d(
+  paths,
+  bathy,
+  add_bathy = list(),
+  add_paths = list(),
+  prompt = FALSE,
+  ...
+)
    +
    + +
    +

    Arguments

    +
    paths
    +

    A dataframe containing reconstructed movement path(s) from pf via pf_simplify (see pf_path-class). At a minimum, this should contain a unique identifier for each path (named `path_id') and the x and y coordinates that define the trajectory of each path (`cell_x' and `cell_y').

    + + +
    bathy
    +

    A raster of the surface over which movement was reconstructed.

    + + +
    add_bathy
    +

    A named list, passed to pretty_map, to customise the appearance of the bathymetry surface.

    + +
    add_paths
    +

    A named list, passed to add_sp_path, to customise the appearance of the paths.

    + + +
    prompt
    +

    A logical input that defines whether or not plot each path on a separate plot, sequentially, with a pause between plots (prompt = TRUE), or all paths on a single plot (prompt = FALSE).

    + + +
    ...
    +

    Additional arguments, passed to pretty_map, for plot customisation.

    + +
    +
    +

    Value

    + + +

    The function maps the trajectories of reconstructed paths across the surface, returning a single map if prompt = FALSE or one map for each path if prompt = TRUE.

    +
    +
    +

    See also

    +

    pf implements the pf algorithm. pf_plot_history visualises particle histories, pf_plot_map creates an overall `probability of use' map from particle histories and pf_simplify processes these into a dataframe of movement paths. pf_plot_1d, pf_plot_2d and pf_plot_3d provide plotting routines for paths. For mapping, it can be useful to interpolate shortest (least-cost) paths between sequential locations via lcp_interp. pf_loglik calculates the log-probability of each path.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Implement pf() algorithm
-# Here, we use pre-defined outputs for speed
-bathy <- dat_dcpf_histories$args$bathy
-paths <- dat_dcpf_paths
-
-#### Example (1): The default implementation
-pf_plot_2d(paths, bathy)
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    
-#### Example (2): Plot customisation options
-# Customise the appearance of the path(s)
-pf_plot_2d(paths, bathy,
-             add_paths = list(length = 0.075, col = viridis::viridis(100)))
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    # Pass arguments to prettyGraphics::pretty_map() via ... , e.g.:
-pf_plot_2d(paths, bathy, xlab = "Easting (UTM)", ylab = "Northing (UTM)")
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    
-#### Example (3): Plot individual paths separately
-if(interactive()){
-  pp <- graphics::par(mfrow = c(3, 4))
-  pf_plot_2d(paths, bathy, add_paths = list(length = 0.01),
-               prompt = TRUE, verbose = FALSE)
-  graphics::par(pp)
-}
-
-
    +
    +

    Examples

    + 
    #### Implement pf() algorithm
+# Here, we use pre-defined outputs for speed
+bathy <- dat_dcpf_histories$args$bathy
+paths <- dat_dcpf_paths
+
+#### Example (1): The default implementation
+pf_plot_2d(paths, bathy)
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+
+
+#### Example (2): Plot customisation options
+# Customise the appearance of the path(s)
+pf_plot_2d(paths, bathy,
+             add_paths = list(length = 0.075, col = viridis::viridis(100)))
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+
+# Pass arguments to prettyGraphics::pretty_map() via ... , e.g.:
+pf_plot_2d(paths, bathy, xlab = "Easting (UTM)", ylab = "Northing (UTM)")
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+
+
+#### Example (3): Plot individual paths separately
+if(interactive()){
+  pp <- graphics::par(mfrow = c(3, 4))
+  pf_plot_2d(paths, bathy, add_paths = list(length = 0.01),
+               prompt = TRUE, verbose = FALSE)
+  graphics::par(pp)
+}
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/pf_plot_3d.html b/docs/reference/pf_plot_3d.html index 57e5f0f..0993c44 100644 --- a/docs/reference/pf_plot_3d.html +++ b/docs/reference/pf_plot_3d.html @@ -1,67 +1,12 @@ - - - - - - - -Map three-dimensional paths from a PF algorithm — pf_plot_3d • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Map three-dimensional paths from a PF algorithm — pf_plot_3d • flapper - - + + - - -
    -
    - -
    - -
    +

    Map three-dimensional paths from a PF algorithm

    - Source: R/pf_analyse_path.R + Source: R/pf_analyse_path.R
    -

    This function is a simple wrapper for pretty_scape_3d that maps the paths reconstructed by the depth-contour or acoustic-container depth-contour particle filtering algorithms (DCPF and ACDCPF) over a surface in three dimensions.

    +

    This function is a simple wrapper for pretty_scape_3d that maps the paths reconstructed by the depth-contour or acoustic-container depth-contour particle filtering algorithms (DCPF and ACDCPF) over a surface in three dimensions.

    - 
    pf_plot_3d(
-  paths,
-  bathy,
-  add_paths = list(line = list(width = 10)),
-  shift = 5,
-  stretch = -5,
-  aspectmode = "data",
-  prompt = FALSE,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    paths

    A dataframe containing reconstructed movement path(s) from pf via pf_simplify (see pf_path-class). At a minimum, this should contain a unique identifier for each path (named `path_id') and the x, y and z coordinates that define the trajectory of each path (`cell_x', `cell_y' and `cell_z').

    bathy

    A raster of the bathymetry surface over which movement was reconstructed.

    add_paths

    A named list, passed to add_paths, to customise the appearance of the paths.

    shift

    A number that vertically shifts the paths above the surface (bathy). The default is shift = 5, which shifts paths 5 m above the surface. This helps to ensure that paths are visible on interactive, three-dimensional plotly plots.

    stretch

    A number that vertically stretches the height of the surface (see pretty_scape_3d). The default is -5 which negates the bathymetry and stretches it five-fold.

    aspectmode

    A character that defines the shape of the plot: "cube" produces a cube; "data" produces a plot whether the size of the x, y and z axes is scaled according to the data (see pretty_scape_3d).

    prompt

    A logical input that defines whether or not plot each path on a separate plot, sequentially, with a pause between plots (prompt = TRUE), or all paths on a single plot (prompt = FALSE).

    ...

    Additional arguments, passed to pretty_scape_3d, for plot customisation.

    - -

    Value

    - -

    The function maps the trajectories of reconstructed paths across the bathymetry surface in three-dimensions, returning a single map if prompt = FALSE or one map for each path if prompt = TRUE. The function also invisibly returns the plot object, if prompt = TRUE, or a list of plot objects, if prompt = FALSE (with one element for each path), to facilitate further modification.

    -

    Details

    - -

    This function requires the plotly package.

    -

    See also

    - -

    pf implements the pf algorithm. pf_plot_history visualises particle histories, pf_plot_map creates an overall `probability of use' map from particle histories and pf_simplify processes these into a dataframe of movement paths. pf_plot_1d, pf_plot_2d and pf_plot_3d provide plotting routines for paths. For mapping, it can be useful to interpolate shortest (least-cost) paths between sequential locations via lcp_interp. pf_loglik calculates the log-probability of each path.

    -

    Author

    +
    + 
    pf_plot_3d(
+  paths,
+  bathy,
+  add_paths = list(line = list(width = 10)),
+  shift = 5,
+  stretch = -5,
+  aspectmode = "data",
+  prompt = FALSE,
+  ...
+)
    +
    + +
    +

    Arguments

    +
    paths
    +

    A dataframe containing reconstructed movement path(s) from pf via pf_simplify (see pf_path-class). At a minimum, this should contain a unique identifier for each path (named `path_id') and the x, y and z coordinates that define the trajectory of each path (`cell_x', `cell_y' and `cell_z').

    + + +
    bathy
    +

    A raster of the bathymetry surface over which movement was reconstructed.

    + + +
    add_paths
    +

    A named list, passed to add_paths, to customise the appearance of the paths.

    + + +
    shift
    +

    A number that vertically shifts the paths above the surface (bathy). The default is shift = 5, which shifts paths 5 m above the surface. This helps to ensure that paths are visible on interactive, three-dimensional plotly plots.

    + + +
    stretch
    +

    A number that vertically stretches the height of the surface (see pretty_scape_3d). The default is -5 which negates the bathymetry and stretches it five-fold.

    + +
    aspectmode
    +

    A character that defines the shape of the plot: "cube" produces a cube; "data" produces a plot whether the size of the x, y and z axes is scaled according to the data (see pretty_scape_3d).

    + + +
    prompt
    +

    A logical input that defines whether or not plot each path on a separate plot, sequentially, with a pause between plots (prompt = TRUE), or all paths on a single plot (prompt = FALSE).

    + + +
    ...
    +

    Additional arguments, passed to pretty_scape_3d, for plot customisation.

    + +
    +
    +

    Value

    + + +

    The function maps the trajectories of reconstructed paths across the bathymetry surface in three-dimensions, returning a single map if prompt = FALSE or one map for each path if prompt = TRUE. The function also invisibly returns the plot object, if prompt = TRUE, or a list of plot objects, if prompt = FALSE (with one element for each path), to facilitate further modification.

    +
    +
    +

    Details

    +

    This function requires the plotly package.

    +
    +
    +

    See also

    +

    pf implements the pf algorithm. pf_plot_history visualises particle histories, pf_plot_map creates an overall `probability of use' map from particle histories and pf_simplify processes these into a dataframe of movement paths. pf_plot_1d, pf_plot_2d and pf_plot_3d provide plotting routines for paths. For mapping, it can be useful to interpolate shortest (least-cost) paths between sequential locations via lcp_interp. pf_loglik calculates the log-probability of each path.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Implement pf() algorithm
-# Here, we use pre-defined outputs for speed
-# Note that it may be beneficial to interpolate paths between points
-# ... e.g., via lcp_interp() prior to plotting, but we will not do that here.
-bathy <- dat_dcpf_histories$args$bathy
-paths <- dat_dcpf_paths
-
-#### Example (1): Visualise paths using the default options
-pf_plot_3d(paths, bathy)
-
    #> Defining plot properties...
-#> Producing plot...
    #> Warning: `arrange_()` was deprecated in dplyr 0.7.0.
-#> Please use `arrange()` instead.
-#> See vignette('programming') for more help
    
-#### Example (2): Customise the plot
-# Customise via add_paths() list
-pf_plot_3d(paths, bathy,
-           add_paths = list(line = list(color = "black", width = 10),
-                            marker = list(color = "blue", size = 10)))
-
    #> Defining plot properties...
-#> Producing plot...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    #> A marker object has been specified, but markers is not in the mode
-#> Adding markers to the mode...
    # Adjust shift, stretch or aspectmode
-pf_plot_3d(paths, bathy, shift = 200, stretch = -10)
-
    #> Defining plot properties...
-#> Producing plot...
    # Customise via ... e.g., add coastline:
-coast <- raster::crop(dat_coast, bathy)
-pf_plot_3d(paths, bathy, coastline = coast)
-
    #> Defining plot properties...
-#> Producing plot...
    # The returned plot objects can also be used for further customisation.
-
-#### Example (3): Plot individual paths separately
-if(interactive()) {
-  pf_plot_3d(paths, bathy, prompt = TRUE)
-}
-
-
    +
    +

    Examples

    + 
    #### Implement pf() algorithm
+# Here, we use pre-defined outputs for speed
+# Note that it may be beneficial to interpolate paths between points
+# ... e.g., via lcp_interp() prior to plotting, but we will not do that here.
+bathy <- dat_dcpf_histories$args$bathy
+paths <- dat_dcpf_paths
+
+#### Example (1): Visualise paths using the default options
+pf_plot_3d(paths, bathy)
+#> Defining plot properties...
+#> Producing plot...
+
+#### Example (2): Customise the plot
+# Customise via add_paths() list
+pf_plot_3d(paths, bathy,
+           add_paths = list(line = list(color = "black", width = 10),
+                            marker = list(color = "blue", size = 10)))
+#> Defining plot properties...
+#> Producing plot...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+#> A marker object has been specified, but markers is not in the mode
+#> Adding markers to the mode...
+# Adjust shift, stretch or aspectmode
+pf_plot_3d(paths, bathy, shift = 200, stretch = -10)
+#> Defining plot properties...
+#> Producing plot...
+# Customise via ... e.g., add coastline:
+coast <- raster::crop(dat_coast, bathy)
+pf_plot_3d(paths, bathy, coastline = coast)
+#> Defining plot properties...
+#> Producing plot...
+# The returned plot objects can also be used for further customisation.
+
+#### Example (3): Plot individual paths separately
+if(interactive()) {
+  pf_plot_3d(paths, bathy, prompt = TRUE)
+}
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/pf_plot_history-1.png b/docs/reference/pf_plot_history-1.png index ea55b74..b899930 100644 Binary files a/docs/reference/pf_plot_history-1.png and b/docs/reference/pf_plot_history-1.png differ diff --git a/docs/reference/pf_plot_history-2.png b/docs/reference/pf_plot_history-2.png index 1a485f2..21019bb 100644 Binary files a/docs/reference/pf_plot_history-2.png and b/docs/reference/pf_plot_history-2.png differ diff --git a/docs/reference/pf_plot_history-3.png b/docs/reference/pf_plot_history-3.png index 354173c..34deaea 100644 Binary files a/docs/reference/pf_plot_history-3.png and b/docs/reference/pf_plot_history-3.png differ diff --git a/docs/reference/pf_plot_history-4.png b/docs/reference/pf_plot_history-4.png index 64a26c7..87c7eb1 100644 Binary files a/docs/reference/pf_plot_history-4.png and b/docs/reference/pf_plot_history-4.png differ diff --git a/docs/reference/pf_plot_history-5.png b/docs/reference/pf_plot_history-5.png index 5eefcac..f0c1c20 100644 Binary files a/docs/reference/pf_plot_history-5.png and b/docs/reference/pf_plot_history-5.png differ diff --git a/docs/reference/pf_plot_history-6.png b/docs/reference/pf_plot_history-6.png index b831ad3..0a4258a 100644 Binary files a/docs/reference/pf_plot_history-6.png and b/docs/reference/pf_plot_history-6.png differ diff --git a/docs/reference/pf_plot_history.html b/docs/reference/pf_plot_history.html index 4e38ecb..68c46fe 100644 --- a/docs/reference/pf_plot_history.html +++ b/docs/reference/pf_plot_history.html @@ -1,67 +1,12 @@ - - - - - - - -Plot particle histories from a PF algorithm — pf_plot_history • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Plot particle histories from a PF algorithm — pf_plot_history • flapper - - + + - - -
    -
    - -
    - -
    +

    Plot particle histories from a PF algorithm

    - Source: R/pf_analyse_archive.R + Source: R/pf_analyse_archive.R
    @@ -123,130 +65,171 @@

    Plot particle histories from a PF algorithm

    This function plots the spatiotemporal particle histories from a particle filtering (PF) algorithm (the acoustic-container PF, the depth-contour PF or the acoustic-container depth-contour PF). This produces, for each time step, a map of the individual's possible locations (from the AC, DC or ACDC algorithm), with sampled locations (derived via the particle filtering routine) overlaid.

    - 
    pf_plot_history(
-  archive,
-  time_steps = 1:length(history),
-  add_surface = list(),
-  add_particles = list(pch = "."),
-  forwards = TRUE,
-  prompt = TRUE,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    archive

    A pf_archive-class object from pf, or pf plus pf_simplify with the return = "archive" argument, that contains particle histories.

    time_steps

    An integer vector that defines the time steps for which to plot particle histories.

    add_surface

    A named list, passed to pretty_map, to customise the appearance of the surface, which shows the set of possible positions that the individual could have occupied at a given time step (from ac, dc and acdc), on each map.

    add_particles

    A named list, passed to pretty_map, to customise the appearance of the particles on each map.

    forwards

    A logical variable that defines whether or not create plots forwards (i.e., from the first to the last time_steps) or backwards (i.e., from the last to the first time_steps).

    prompt

    A logical input that defines whether or not to pause between plots (prompt = TRUE).

    ...

    Plot customisation arguments passed to pretty_map.

    - -

    Value

    - -

    The function returns a plot, for each time step, of all the possible locations of the individual, with sampled locations overlaid.

    -

    See also

    - -

    pf implements PF. pf_simplify assembles paths from particle histories. pf_plot_map creates an overall `probability of use' map from particle histories. pf_plot_1d, pf_plot_2d and pf_plot_3d provide plotting routines for paths. pf_loglik calculates the log-probability of each path.

    -

    pf implements PF. pf_simplify assembles paths from particle histories. pf_plot_history visualises particle histories. pf_plot_1d, pf_plot_2d and pf_plot_3d provide plotting routines for paths. pf_loglik calculates the log-probability of each path.

    -

    Author

    +
    + 
    pf_plot_history(
+  archive,
+  time_steps = 1:length(history),
+  add_surface = list(),
+  add_particles = list(pch = "."),
+  forwards = TRUE,
+  prompt = TRUE,
+  ...
+)
    +
    + +
    +

    Arguments

    +
    archive
    +

    A pf_archive-class object from pf, or pf plus pf_simplify with the return = "archive" argument, that contains particle histories.

    + + +
    time_steps
    +

    An integer vector that defines the time steps for which to plot particle histories.

    + + +
    add_surface
    +

    A named list, passed to pretty_map, to customise the appearance of the surface, which shows the set of possible positions that the individual could have occupied at a given time step (from ac, dc and acdc), on each map.

    + + +
    add_particles
    +

    A named list, passed to pretty_map, to customise the appearance of the particles on each map.

    + +
    forwards
    +

    A logical variable that defines whether or not create plots forwards (i.e., from the first to the last time_steps) or backwards (i.e., from the last to the first time_steps).

    + + +
    prompt
    +

    A logical input that defines whether or not to pause between plots (prompt = TRUE).

    + + +
    ...
    +

    Plot customisation arguments passed to pretty_map.

    + +
    +
    +

    Value

    + + +

    The function returns a plot, for each time step, of all the possible locations of the individual, with sampled locations overlaid.

    +
    +
    +

    See also

    +

    pf implements PF. pf_simplify assembles paths from particle histories. pf_plot_map creates an overall `probability of use' map from particle histories. pf_plot_1d, pf_plot_2d and pf_plot_3d provide plotting routines for paths. pf_loglik calculates the log-probability of each path.

    +

    pf implements PF. pf_simplify assembles paths from particle histories. pf_plot_history visualises particle histories. pf_plot_1d, pf_plot_2d and pf_plot_3d provide plotting routines for paths. pf_loglik calculates the log-probability of each path.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Implement pf() algorithm
-# Here, we use pre-defined outputs for speed
-
-#### Example (1): The default implementation
-pf_plot_history(dat_dcpf_histories, time_steps = 1)
-
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    
-#### Example (2): Plot customisation options, e.g.:
-# Customise bathy via add_bathy()
-pf_plot_history(dat_dcpf_histories,
-                time_steps = 1,
-                add_surface = list(col = c(grDevices::topo.colors(2))))
-
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    # Customise particles via add_particles
-pf_plot_history(dat_dcpf_histories,
-                time_steps = 1,
-                add_particles = list(col = "red"))
-
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    # Pass other arguments to prettyGraphics::pretty_map() via ...
-pf_plot_history(dat_dcpf_histories,
-                time_steps = 1,
-                add_polys = list(x = dat_coast, col = "brown"),
-                crop_spatial = TRUE)
-
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    
-#### Example (3): Plot multiple time steps
-pp <- graphics::par(mfrow = c(2, 2))
-pf_plot_history(dat_dcpf_histories, time_steps = 1:4, prompt = FALSE)
-
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    graphics::par(pp)
-
-#### Example (4): Compare outputs for sampled versus connected particles
-dat_dcpf_histories_connected <-
-  pf_simplify(dat_dcpf_histories, return = "archive")
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:07:46)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... ... Processing connected cells for return = 'archive'... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:07:47) after ~0 minutes. 
    pp <- graphics::par(mfcol = c(2, 4))
-pf_plot_history(dat_dcpf_histories, time_steps = 1:4,
-                add_particles = list(pch = 21, bg = "black"),
-                prompt  = FALSE)
-
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    pf_plot_history(dat_dcpf_histories_connected, time_steps = 1:4,
-                add_particles = list(pch = 21, bg = "black"),
-                prompt = FALSE)
-
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Spatial layers do not have identical CRS strings
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    graphics::par(pp)
-
-
    +
    +

    Examples

    + 
    #### Implement pf() algorithm
+# Here, we use pre-defined outputs for speed
+
+#### Example (1): The default implementation
+pf_plot_history(dat_dcpf_histories, time_steps = 1)
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+
+#### Example (2): Plot customisation options, e.g.:
+# Customise bathy via add_bathy()
+pf_plot_history(dat_dcpf_histories,
+                time_steps = 1,
+                add_surface = list(col = c(grDevices::topo.colors(2))))
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+# Customise particles via add_particles
+pf_plot_history(dat_dcpf_histories,
+                time_steps = 1,
+                add_particles = list(col = "red"))
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+# Pass other arguments to prettyGraphics::pretty_map() via ...
+pf_plot_history(dat_dcpf_histories,
+                time_steps = 1,
+                add_polys = list(x = dat_coast, col = "brown"),
+                crop_spatial = TRUE)
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+
+#### Example (3): Plot multiple time steps
+pp <- graphics::par(mfrow = c(2, 2))
+pf_plot_history(dat_dcpf_histories, time_steps = 1:4, prompt = FALSE)
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+graphics::par(pp)
+
+#### Example (4): Compare outputs for sampled versus connected particles
+dat_dcpf_histories_connected <-
+  pf_simplify(dat_dcpf_histories, return = "archive")
+#> flapper::pf_simplify() called (@ 2023-02-19 15:03:44)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... ... Processing connected cells for return = 'archive'... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:03:45) after ~0.01 minutes. 
+pp <- graphics::par(mfcol = c(2, 4))
+pf_plot_history(dat_dcpf_histories, time_steps = 1:4,
+                add_particles = list(pch = 21, bg = "black"),
+                prompt  = FALSE)
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+pf_plot_history(dat_dcpf_histories_connected, time_steps = 1:4,
+                add_particles = list(pch = 21, bg = "black"),
+                prompt = FALSE)
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+graphics::par(pp)
+
+
    +
    +
    - - - + + diff --git a/docs/reference/pf_plot_map-1.png b/docs/reference/pf_plot_map-1.png index 18b0e3c..918b619 100644 Binary files a/docs/reference/pf_plot_map-1.png and b/docs/reference/pf_plot_map-1.png differ diff --git a/docs/reference/pf_plot_map-2.png b/docs/reference/pf_plot_map-2.png index 303a10e..b8f47a0 100644 Binary files a/docs/reference/pf_plot_map-2.png and b/docs/reference/pf_plot_map-2.png differ diff --git a/docs/reference/pf_plot_map-3.png b/docs/reference/pf_plot_map-3.png index a40cfd9..796c654 100644 Binary files a/docs/reference/pf_plot_map-3.png and b/docs/reference/pf_plot_map-3.png differ diff --git a/docs/reference/pf_plot_map.html b/docs/reference/pf_plot_map.html index 9db933a..6bf981d 100644 --- a/docs/reference/pf_plot_map.html +++ b/docs/reference/pf_plot_map.html @@ -1,67 +1,12 @@ - - - - - - - -Plot `probability of use' from a PF algorithm — pf_plot_map • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Plot `probability of use' from a PF algorithm — pf_plot_map • flapper + + - - - - -
    -
    - -
    - -
    +

    Plot `probability of use' from a PF algorithm

    - Source: R/pf_analyse_either.R + Source: R/pf_analyse_either.R
    -

    This function creates a raster of the `probability of use' across an area based on (a) particles sampled or (b) paths reconstructed by a particle filtering (PF) algorithm. To implement the function, an (a) pf_archive-class object that contains connected particles (locations) sampled by pf and processed by pf_simplify or (b) pf_path-class object that contains reconstructed paths must be supplied. The function extracts sampled locations and, for each location, calculates `the probability of use' for that location over the time series (see Details). This is (optionally) plotted and returned (invisibly) as a raster.

    +

    This function creates a raster of the `probability of use' across an area based on (a) particles sampled or (b) paths reconstructed by a particle filtering (PF) algorithm. To implement the function, an (a) pf_archive-class object that contains connected particles (locations) sampled by pf and processed by pf_simplify or (b) pf_path-class object that contains reconstructed paths must be supplied. The function extracts sampled locations and, for each location, calculates `the probability of use' for that location over the time series (see Details). This is (optionally) plotted and returned (invisibly) as a raster.

    - 
    pf_plot_map(
-  xpf,
-  map,
-  transform = NULL,
-  scale = c("original", "max", "sum"),
-  plot = TRUE,
-  add_rasters = list(),
-  ...
-)
    +
    + 
    pf_plot_map(
+  xpf,
+  map,
+  transform = NULL,
+  scale = c("original", "max", "sum"),
+  plot = TRUE,
+  add_rasters = list(),
+  ...
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    xpf

    A pf_archive-class object (from pf plus pf_simplify with return = "archive") or a pf_path-class object (from pf plus pf_simplify with return = "path").

    map

    A raster that defines a grid across the area of interest.

    transform

    (optional) A function to transform cell weights (e.g, log).

    scale

    A character that defines how raster values are scaled: "original" uses the original values; "max" scales values by the maximum value (so that, if transform = NULL, they lie between zero and one; and "sum" scales values by their sum so that they sum to one.

    plot

    A logical input that defines whether or not to plot the map.

    add_rasters

    If plot = TRUE, add_rasters is a named list, passed to pretty_map, to customise the appearance of the plotted surface.

    ...

    Additional arguments passed to pretty_map.

    +
    +

    Arguments

    +
    xpf
    +

    A pf_archive-class object (from pf plus pf_simplify with return = "archive") or a pf_path-class object (from pf plus pf_simplify with return = "path").

    -

    Value

    -

    The function invisibly returns a raster, in which each cell contains the `probability of use' score and (optionally) produces a plot of this surface.

    -

    Details

    +
    map
    +

    A raster that defines a grid across the area of interest.

    -

    For particle-based implementations, this function is designed to be implemented for the subset of sampled particles that formed continuous paths from the start to the end of the time series (see pf_simplify). At each time step, only one record of each location (derived by summarising the probabilities of multiple samples of the same location with the summarise_pf argument in pf_simplify) should be passed to pf_plot_map to ensure that cell scores depend on the number of time steps when the individual could have occupied a given cell, rather than the total number of samples of a location. For each location, the 'probability of use' is calculated as the sum of the number of times (time steps) that the location was sampled, weighted by the associated probabilities of each sample, over the total number of time steps. The benefit of this approach is that all particles that were part of paths from the start to the end of the time series are incorporated in the resultant map. However, this comes at the cost of simplifying cell probabilities for duplicate records and ignoring variation in the overall likelihood of different movement paths.

    -

    For path-based implementations, the function is designed to be implemented for paths reconstructed by pf_simplify. For each path, as for particle-based implementations, for each location, the 'probability of use' is calculated as the sum of the number of times (time steps) that the location was sampled, weighted by the associated probabilities of each sample, over the total number of time steps. (This is equivalent to calculating a weighted sum of the paths). Scores are then averaged across paths. This benefit of this approach is that it is possible to account for both location probabilities (in the weighted summation) and path probabilities (in the averaging of cell scores across paths, although this is not yet implemented). However, this approach can usually only be implemented for a subset of all possible paths (see max_n_copies in pf_simplify) and these paths may not be independent (they may share substantial sections).

    -

    For either implementation, raw scores can be transformed or scaled to facilitate comparisons.

    -

    See also

    -

    pf implements PF. pf_simplify assembles paths from particle histories. pf_plot_history visualises particle histories. pf_plot_1d, pf_plot_2d and pf_plot_3d provide plotting routines for paths. pf_loglik calculates the log-probability of each path.

    -

    Author

    +
    transform
    +

    (optional) A function to transform cell weights (e.g, log).

    + + +
    scale
    +

    A character that defines how raster values are scaled: "original" uses the original values; "max" scales values by the maximum value (so that, if transform = NULL, they lie between zero and one; and "sum" scales values by their sum so that they sum to one.

    -

    Edward Lavender

    -

    Examples

    - 
    #### Prepare data
-## Particle-based implementation
-# The example data 'dat_dcpf_histories' contains all particles sampled
-# ... by an implementation of the DCPF algorithm. However, not all particles
-# ... that were sampled at one time step may have been near to particles sampled
-# ... at the next time step. In addition, some particles may have been sampled
-# ... multiple times at one time step, but our maps of space use should reflect
-# ... the number of time steps that the individual could have occupied a location,
-# ... rather than the total number of samples of a location. Hence, to map
-# ... space use, we should focus on the subset of particles that were connected
-# ... between time steps and only retain one record of each particle at each time step
-# ... using pf_simplify() with return = "archive"
-dat_dcpf_histories_connected <-
-  pf_simplify(dat_dcpf_histories,
-             summarise_pr = TRUE,
-             return = "archive")
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:07:47)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... ... Processing connected cells for return = 'archive'... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:07:48) after ~0 minutes. 
    ## Path based implementation
-# The example data 'dat_dcpf_paths' contains a sample of paths reconstructed
-# ... by the DCPF algorithm and we can also implement the function for these paths.
+
    plot
    
+
    A logical input that defines whether or not to plot the map.
    
 
-#### Example (1): Implement the function with default options
-pp <- par(mfrow = c(1, 2))
-pf_plot_map(dat_dcpf_histories_connected, map = dat_dc$args$bathy)
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    pf_plot_map(dat_dcpf_paths, map = dat_dc$args$bathy)
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    par(pp)
 
-#### Example (2): Re-scale the map(s)
-pp <- par(mfrow = c(2, 2))
-pf_plot_map(dat_dcpf_histories_connected, map = dat_dc$args$bathy, scale = "max")
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    pf_plot_map(dat_dcpf_histories_connected, map = dat_dc$args$bathy, scale = "sum")
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    pf_plot_map(dat_dcpf_paths, map = dat_dc$args$bathy, scale = "max")
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    pf_plot_map(dat_dcpf_paths, map = dat_dc$args$bathy, scale = "sum")
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    par(pp)
+
    add_rasters
    
+
    If plot = TRUE, add_rasters is a named list, passed to pretty_map, to customise the appearance of the plotted surface.
    
 
-#### Example (3): Customise the map(s)
-pp <- par(mfrow = c(1, 2))
-pf_plot_map(dat_dcpf_histories_connected, map = dat_dc$args$bathy,
-            add_rasters = list(col = grDevices::grey.colors(n = 100)),
-            xlab = "x", ylab = "y")
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    pf_plot_map(dat_dcpf_paths, map = dat_dc$args$bathy,
-            add_rasters = list(col = grDevices::topo.colors(n = 100)),
-            xlab = "x", ylab = "y")
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    par(pp)
 
-
    +
    ...
    +

    Additional arguments passed to pretty_map.

    + +
    +
    +

    Value

    + + +

    The function invisibly returns a raster, in which each cell contains the `probability of use' score and (optionally) produces a plot of this surface.

    +
    +
    +

    Details

    +

    For particle-based implementations, this function is designed to be implemented for the subset of sampled particles that formed continuous paths from the start to the end of the time series (see pf_simplify). At each time step, only one record of each location (derived by summarising the probabilities of multiple samples of the same location with the summarise_pf argument in pf_simplify) should be passed to pf_plot_map to ensure that cell scores depend on the number of time steps when the individual could have occupied a given cell, rather than the total number of samples of a location. For each location, the 'probability of use' is calculated as the sum of the number of times (time steps) that the location was sampled, weighted by the associated probabilities of each sample, over the total number of time steps. The benefit of this approach is that all particles that were part of paths from the start to the end of the time series are incorporated in the resultant map. However, this comes at the cost of simplifying cell probabilities for duplicate records and ignoring variation in the overall likelihood of different movement paths.

    +

    For path-based implementations, the function is designed to be implemented for paths reconstructed by pf_simplify. For each path, as for particle-based implementations, for each location, the 'probability of use' is calculated as the sum of the number of times (time steps) that the location was sampled, weighted by the associated probabilities of each sample, over the total number of time steps. (This is equivalent to calculating a weighted sum of the paths). Scores are then averaged across paths. This benefit of this approach is that it is possible to account for both location probabilities (in the weighted summation) and path probabilities (in the averaging of cell scores across paths, although this is not yet implemented). However, this approach can usually only be implemented for a subset of all possible paths (see max_n_copies in pf_simplify) and these paths may not be independent (they may share substantial sections).

    +

    For either implementation, raw scores can be transformed or scaled to facilitate comparisons.

    +
    +
    +

    See also

    +

    pf implements PF. pf_simplify assembles paths from particle histories. pf_plot_history visualises particle histories. pf_plot_1d, pf_plot_2d and pf_plot_3d provide plotting routines for paths. pf_loglik calculates the log-probability of each path.

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    + +
    +

    Examples

    + 
    #### Prepare data
+## Particle-based implementation
+# The example data 'dat_dcpf_histories' contains all particles sampled
+# ... by an implementation of the DCPF algorithm. However, not all particles
+# ... that were sampled at one time step may have been near to particles sampled
+# ... at the next time step. In addition, some particles may have been sampled
+# ... multiple times at one time step, but our maps of space use should reflect
+# ... the number of time steps that the individual could have occupied a location,
+# ... rather than the total number of samples of a location. Hence, to map
+# ... space use, we should focus on the subset of particles that were connected
+# ... between time steps and only retain one record of each particle at each time step
+# ... using pf_simplify() with return = "archive"
+dat_dcpf_histories_connected <-
+  pf_simplify(dat_dcpf_histories,
+             summarise_pr = TRUE,
+             return = "archive")
+#> flapper::pf_simplify() called (@ 2023-02-19 15:03:46)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... ... Processing connected cells for return = 'archive'... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:03:46) after ~0.01 minutes. 
+## Path based implementation
+# The example data 'dat_dcpf_paths' contains a sample of paths reconstructed
+# ... by the DCPF algorithm and we can also implement the function for these paths.
+
+#### Example (1): Implement the function with default options
+pp <- par(mfrow = c(1, 2))
+pf_plot_map(dat_dcpf_histories_connected, map = dat_dc$args$bathy)
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+pf_plot_map(dat_dcpf_paths, map = dat_dc$args$bathy)
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+par(pp)
+
+#### Example (2): Re-scale the map(s)
+pp <- par(mfrow = c(2, 2))
+pf_plot_map(dat_dcpf_histories_connected, map = dat_dc$args$bathy, scale = "max")
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+pf_plot_map(dat_dcpf_histories_connected, map = dat_dc$args$bathy, scale = "sum")
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+pf_plot_map(dat_dcpf_paths, map = dat_dc$args$bathy, scale = "max")
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+pf_plot_map(dat_dcpf_paths, map = dat_dc$args$bathy, scale = "sum")
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+par(pp)
+
+#### Example (3): Customise the map(s)
+pp <- par(mfrow = c(1, 2))
+pf_plot_map(dat_dcpf_histories_connected, map = dat_dc$args$bathy,
+            add_rasters = list(col = grDevices::grey.colors(n = 100)),
+            xlab = "x", ylab = "y")
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+pf_plot_map(dat_dcpf_paths, map = dat_dc$args$bathy,
+            add_rasters = list(col = grDevices::topo.colors(n = 100)),
+            xlab = "x", ylab = "y")
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+par(pp)
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/pf_setup_movement_pr-1.png b/docs/reference/pf_setup_movement_pr-1.png index df65149..2f0f821 100644 Binary files a/docs/reference/pf_setup_movement_pr-1.png and b/docs/reference/pf_setup_movement_pr-1.png differ diff --git a/docs/reference/pf_setup_movement_pr.html b/docs/reference/pf_setup_movement_pr.html index 105280c..a69b114 100644 --- a/docs/reference/pf_setup_movement_pr.html +++ b/docs/reference/pf_setup_movement_pr.html @@ -1,67 +1,12 @@ - - - - - - - -A simple movement model dependent on distance — pf_setup_movement_pr • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -A simple movement model dependent on distance — pf_setup_movement_pr • flapper - - - - + + -
    -
    - -
    - -
    +

    A simple movement model dependent on distance

    - Source: R/pf_setup.R + Source: R/pf_setup.R
    @@ -123,63 +65,67 @@

    A simple movement model dependent on distance

    This function provides a simple movement model that calculates the probability of movement between two locations according to the distance between them, using an logistic equation with pre-defined parameters.

    - 
    pf_setup_movement_pr(distance, ...)
    - -

    Arguments

    - - - - - - - - - - -
    distance

    A numeric vector of distances (m).

    ...

    Additional arguments (none implemented).

    +
    + 
    pf_setup_movement_pr(distance, ...)
    +
    -

    Value

    +
    +

    Arguments

    +
    distance
    +

    A numeric vector of distances (m).

    -

    The function returns a numeric vector of probabilities that represent the probability of movement between two or more areas given the distances between them.

    -

    Details

    -

    Under this model, for distance(s) \( \leq 500 \) m, \(Pr(distance) = logistic(10 + distance -0.05)\); otherwise, \(Pr(distance) = 0\). This particular model is designed for flapper skate (Dipturus intermedius) and represents a reasonable model for the probability of moving a given distance in a two-minute period (in the absence of additional information).

    -

    See also

    +
    ...
    +

    Additional arguments (none implemented).

    -

    This function is used as the default movement model in pf.

    -

    Author

    +
    +
    +

    Value

    + +

    The function returns a numeric vector of probabilities that represent the probability of movement between two or more areas given the distances between them.

    +
    +
    +

    Details

    +

    Under this model, for distance(s) \( \leq 500 \) m, \(Pr(distance) = logistic(10 + distance -0.05)\); otherwise, \(Pr(distance) = 0\). This particular model is designed for flapper skate (Dipturus intermedius) and represents a reasonable model for the probability of moving a given distance in a two-minute period (in the absence of additional information).

    +
    +
    +

    See also

    +

    This function is used as the default movement model in pf.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    pr <- pf_setup_movement_pr(1:1000)
-plot(pr, type = "l", xlab = "Distance (m)", ylab = "Pr(distance)")
-
    +
    +

    Examples

    + 
    pr <- pf_setup_movement_pr(1:1000)
+plot(pr, type = "l", xlab = "Distance (m)", ylab = "Pr(distance)")
+
+
    +
    +
    - - - + + diff --git a/docs/reference/pf_setup_optimisers.html b/docs/reference/pf_setup_optimisers.html index e90fa40..f9d13d7 100644 --- a/docs/reference/pf_setup_optimisers.html +++ b/docs/reference/pf_setup_optimisers.html @@ -1,67 +1,12 @@ - - - - - - - -Optimisation settings for pf — pf_setup_optimisers • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Optimisation settings for pf — pf_setup_optimisers • flapper - - + + - - -
    -
    - -
    - -
    +
    -

    Optimisation settings for pf

    - Source: R/pf_setup.R +

    Optimisation settings for pf

    + Source: R/pf_setup.R
    -

    This function defines optimisation settings for pf. These settings control under-the-hood implementation routines in pf that may improve computation time if adjusted.

    +

    This function defines optimisation settings for pf. These settings control under-the-hood implementation routines in pf that may improve computation time if adjusted.

    - 
    pf_setup_optimisers(
-  use_raster_operations = TRUE,
-  use_calc_distance_euclid_backend_grass = FALSE,
-  use_grass_dir = NULL
-)
    - -

    Arguments

    - - - - - - - - - - - - - - -
    use_raster_operations

    (experimental) A logical input that defines whether or not to use raster operations, where applicable (e.g., calc), which are memory-safe, or to extract raster values into a data.table and perform arithmetic operations on the data.table. This option is only implemented for the `fast Euclidean distances' method in pf. Trials suggest that use_raster_operations = FALSE does not improve computation time.

    use_calc_distance_euclid_backend_grass

    A logical input that defines whether or not to use GRASS as the backend for Euclidean distances calculations in pf. The default is FALSE, in which case distanceFromPoints is used for these calculations. If TRUE, the fasterRaster package is required and fasterVectToRastDistance is used instead.

    use_grass_dir

    If use_calc_distance_euclid_backend_grass = TRUE, use_grass_dir is a character that defines the directory where GRASS is installed on your system and should be supplied.

    - -

    Value

    - -

    The function returns pf_optimiser S3 class object, which is simply a named list of optimisation options that can be passed to pf via the optimisers argument.

    -

    Details

    - -

    pf is a computationally intensive routine. To reduce computation time, the most effective approaches are to minimise data volume and reduce the size (dimensions and/or resolution) of the grid over which particle filtering is implemented; use the `fast Euclidean distances' method for distance calculations; and minimise the number of particles. For small numbers of particles, it may be faster to specify the mobility parameter; for large numbers of particles, it is probably faster to set mobility = NULL. Adjusting raster{rasterOptions} such as chunksize and/or maxmemory may help in some circumstances too. Following optimisation of these settings, pf_setup_optimisers facilitates the adjustment of under-the-hood implementation routines which may further reduce computation time in some settings.

    -

    See also

    - -

    pf

    -

    Author

    +
    + 
    pf_setup_optimisers(
+  use_raster_operations = TRUE,
+  use_calc_distance_euclid_backend_grass = FALSE,
+  use_grass_dir = NULL
+)
    +
    + +
    +

    Arguments

    +
    use_raster_operations
    +

    (experimental) A logical input that defines whether or not to use raster operations, where applicable (e.g., calc), which are memory-safe, or to extract raster values into a data.table and perform arithmetic operations on the data.table. This option is only implemented for the `fast Euclidean distances' method in pf. Trials suggest that use_raster_operations = FALSE does not improve computation time.

    + +
    use_calc_distance_euclid_backend_grass
    +

    A logical input that defines whether or not to use GRASS as the backend for Euclidean distances calculations in pf. The default is FALSE, in which case distanceFromPoints is used for these calculations. If TRUE, the fasterRaster package is required and fasterVectToRastDistance is used instead.

    + + +
    use_grass_dir
    +

    If use_calc_distance_euclid_backend_grass = TRUE, use_grass_dir is a character that defines the directory where GRASS is installed on your system and should be supplied.

    + +
    +
    +

    Value

    + + +

    The function returns pf_optimiser S3 class object, which is simply a named list of optimisation options that can be passed to pf via the optimisers argument.

    +
    +
    +

    Details

    +

    pf is a computationally intensive routine. To reduce computation time, the most effective approaches are to minimise data volume and reduce the size (dimensions and/or resolution) of the grid over which particle filtering is implemented; use the `fast Euclidean distances' method for distance calculations; and minimise the number of particles. For small numbers of particles, it may be faster to specify the mobility parameter; for large numbers of particles, it is probably faster to set mobility = NULL. Adjusting raster{rasterOptions} such as chunksize and/or maxmemory may help in some circumstances too. Following optimisation of these settings, pf_setup_optimisers facilitates the adjustment of under-the-hood implementation routines which may further reduce computation time in some settings.

    +
    +
    +

    See also

    +

    pf

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): The default implementation
-pf_setup_optimisers()
-
    #> $use_raster_operations
-#> [1] TRUE
-#> 
-#> $use_calc_distance_euclid_backend_grass
-#> [1] FALSE
-#> 
-#> $use_grass_dir
-#> NULL
-#> 
-#> attr(,"class")
-#> [1] "list"         "pf_optimiser"
    
-#### Example (2): Use GRASS for Euclidean distance calculations
-# Specification for GRASS-7.4.4 on MacOS
-pf_setup_optimisers(use_calc_distance_euclid_backend_grass = TRUE,
-                    use_grass_dir = "/Applications/GRASS-7.4.4.app/Contents/Resources")
-
    #> $use_raster_operations
-#> [1] TRUE
-#> 
-#> $use_calc_distance_euclid_backend_grass
-#> [1] TRUE
-#> 
-#> $use_grass_dir
-#> [1] "/Applications/GRASS-7.4.4.app/Contents/Resources"
-#> 
-#> attr(,"class")
-#> [1] "list"         "pf_optimiser"
    # This list should be passed to the 'optimisers' argument in pf().
-
-
    +
    +

    Examples

    + 
    #### Example (1): The default implementation
+pf_setup_optimisers()
+#> $use_raster_operations
+#> [1] TRUE
+#> 
+#> $use_calc_distance_euclid_backend_grass
+#> [1] FALSE
+#> 
+#> $use_grass_dir
+#> NULL
+#> 
+#> attr(,"class")
+#> [1] "list"         "pf_optimiser"
+
+#### Example (2): Use GRASS for Euclidean distance calculations
+# Specification for GRASS-7.4.4 on MacOS
+pf_setup_optimisers(use_calc_distance_euclid_backend_grass = TRUE,
+                    use_grass_dir = "/Applications/GRASS-7.4.4.app/Contents/Resources")
+#> $use_raster_operations
+#> [1] TRUE
+#> 
+#> $use_calc_distance_euclid_backend_grass
+#> [1] TRUE
+#> 
+#> $use_grass_dir
+#> [1] "/Applications/GRASS-7.4.4.app/Contents/Resources"
+#> 
+#> attr(,"class")
+#> [1] "list"         "pf_optimiser"
+# This list should be passed to the 'optimisers' argument in pf().
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/pf_setup_record-1.png b/docs/reference/pf_setup_record-1.png index 89d6d96..6ed0ce1 100644 Binary files a/docs/reference/pf_setup_record-1.png and b/docs/reference/pf_setup_record-1.png differ diff --git a/docs/reference/pf_setup_record-2.png b/docs/reference/pf_setup_record-2.png index b2c8650..dc6d217 100644 Binary files a/docs/reference/pf_setup_record-2.png and b/docs/reference/pf_setup_record-2.png differ diff --git a/docs/reference/pf_setup_record.html b/docs/reference/pf_setup_record.html index 9c187a9..8b45fb6 100644 --- a/docs/reference/pf_setup_record.html +++ b/docs/reference/pf_setup_record.html @@ -1,67 +1,12 @@ - - - - - - - -List `record' files from an AC/DC algorithm for PF — pf_setup_record • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -List `record' files from an AC/DC algorithm for PF — pf_setup_record • flapper - - + + - - -
    -
    - -
    - -
    +

    List `record' files from an AC/DC algorithm for PF

    - Source: R/pf_setup.R + Source: R/pf_setup.R
    -

    This function creates an ordered list of `record' files derived from the AC/DC/ACDC algorithm (ac, dc or acdc) for particle filtering (PF) via pf.

    +

    This function creates an ordered list of `record' files derived from the AC/DC/ACDC algorithm (ac, dc or acdc) for particle filtering (PF) via pf.

    +
    + +
    + 
    pf_setup_record(root, type = c("acs", "dc"), use_absolute_paths = FALSE, ...)
    - 
    pf_setup_record(root, type = c("acs", "dc"), use_absolute_paths = FALSE, ...)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - -
    root

    A string that defines the directory in which files are loaded.

    type

    A character that defines the source of the files (type = "acs" refers to an AC* algorithm and type = "dc" refers to the DC algorithm).

    use_absolute_paths

    A logical variable that defines whether to return relative paths (FALSE) or absolute paths (TRUE) (see file_path_as_absolute).

    ...

    Additional arguments passed to list.files (excluding full.names).

    - -

    Value

    - -

    The function returns an ordered list of file paths.

    -

    Details

    - -

    This function requires the stringr package.

    -

    See also

    - -

    This function is designed to list outputs from ac, dc or acdc (see the write_record_spatial_for_pf argument) as required by pf (see the record argument).

    -

    Author

    +
    +

    Arguments

    +
    root
    +

    A string that defines the directory in which files are loaded.

    + + +
    type
    +

    A character that defines the source of the files (type = "acs" refers to an AC* algorithm and type = "dc" refers to the DC algorithm).

    + +
    use_absolute_paths
    +

    A logical variable that defines whether to return relative paths (FALSE) or absolute paths (TRUE) (see file_path_as_absolute).

    + + +
    ...
    +

    Additional arguments passed to list.files (excluding full.names).

    + +
    +
    +

    Value

    + + +

    The function returns an ordered list of file paths.

    +
    +
    +

    Details

    +

    This function requires the stringr package.

    +
    +
    +

    See also

    +

    This function is designed to list outputs from ac, dc or acdc (see the write_record_spatial_for_pf argument) as required by pf (see the record argument).

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Example with the AC algorithm
-# Define a directory in which to save files
-root <- paste0(tempdir(), "/ac/")
-dir.create(root)
-# Implement the AC algorithm for some example time series
-acc <- dat_acoustics[dat_acoustics$individual_id == 25, ][1:5, ]
-out_ac <- ac(acoustics = acc,
-             step = 120,
-             bathy = dat_gebco,
-             detection_containers = dat_containers,
-             mobility = 250,
-             write_record_spatial_for_pf = list(filename = root))
-
    #> flapper::ac() called (@ 2022-06-17 10:07:50)...
    #> flapper::.acs_pl() called (@ 2022-06-17 10:07:50)... 
-#> ... Checking user inputs... 
-#> ... Processing movement time series... 
-#> ... Plotting movement time series (for each chunk)... 
    #> ... Calling .acs() to implement ACDC algorithm on one chunk... 
-#> flapper::.acs() called (@ 2022-06-17 10:07:50)... 
-#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
-#> ... On acoustic time step ('timestep_detection') 1. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |==================                                                    |  25%... On acoustic time step ('timestep_detection') 2. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |===================================                                   |  50%... On acoustic time step ('timestep_detection') 3. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> ... ... On internal time step ('timestep_archival') 2. 
-#> ... ... ... Acoustic container is expanding... 
-#> 
  |                                                                            
  |====================================================                  |  75%... On acoustic time step ('timestep_detection') 4. 
-#> ... ... On internal time step ('timestep_archival') 1. 
-#> 
  |                                                                            
  |======================================================================| 100%
-#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
-#> ... flapper::.acs() call completed (@ 2022-06-17 10:07:50) after ~0 minutes. 
-#> ... flapper::.acs_pl() call completed (@ 2022-06-17 10:07:50) after ~0 minutes. 
    #> flapper::ac() finished (@ 2022-06-17 10:07:50)...
    # List the files for pf()
-files <- pf_setup_record(root, type = "acs", pattern = "*.grd")
-utils::head(files)
-
    #> [1] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/ac//chu_1_acc_1_arc_1.grd"
-#> [2] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/ac//chu_1_acc_2_arc_1.grd"
-#> [3] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/ac//chu_1_acc_3_arc_1.grd"
-#> [4] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/ac//chu_1_acc_3_arc_2.grd"
-#> [5] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/ac//chu_1_acc_4_arc_1.grd"
    # Implement pf() using files (not shown).
-
-#### Example (2): Example with the DC algorithm
-# Define a directory in which to save files
-root <- paste0(tempdir(), "/dc/")
-dir.create(root)
-# Implement the DC algorithm for some example time series
-depth <- dat_archival[dat_archival$individual_id == 25, ][1:5, ]
-out_dc <- dc(archival = depth,
-             bathy = dat_gebco,
-             write_record_spatial_for_pf = list(filename = root))
-
    #> flapper::dc() called (@ 2022-06-17 10:07:50)... 
-#> ... Setting up function... 
    #> 'calc_depth_error' function taken to be independent of depth.
    #> ... Implementing calc_depth_error()... 
-#> ... Plotting movement time series (for each chunk)... 
    #> ... Implementing algorithm over time steps... 
-#> ... flapper::dc() call completed (@ 2022-06-17 10:07:50) after ~0 minutes. 
    # List the files for pf()
-files <- pf_setup_record(root, type = "dc", pattern = "*.grd")
-utils::head(files)
-
    #> [1] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/dc//arc_1.grd"
-#> [2] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/dc//arc_2.grd"
-#> [3] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/dc//arc_3.grd"
-#> [4] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/dc//arc_4.grd"
-#> [5] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmppNipsA/dc//arc_5.grd"
    # Implement pf() using files (not shown).
-
-
    +
    +

    Examples

    + 
    #### Example (1): Example with the AC algorithm
+# Define a directory in which to save files
+root <- paste0(tempdir(), "/ac/")
+dir.create(root)
+# Implement the AC algorithm for some example time series
+acc <- dat_acoustics[dat_acoustics$individual_id == 25, ][1:5, ]
+out_ac <- ac(acoustics = acc,
+             step = 120,
+             bathy = dat_gebco,
+             detection_containers = dat_containers,
+             mobility = 250,
+             write_record_spatial_for_pf = list(filename = root))
+#> flapper::ac() called (@ 2023-02-19 15:04:01)...
+#> flapper::.acs_pl() called (@ 2023-02-19 15:04:01)... 
+#> ... Checking user inputs... 
+#> ... Processing movement time series... 
+#> ... Plotting movement time series (for each chunk)... 
+#> ... Calling .acs() to implement ACDC algorithm on one chunk... 
+#> flapper::.acs() called (@ 2023-02-19 15:04:01)... 
+#> 
  |                                                                            
  |                                                                      |   0%... Initiating algorithm: moving over acoustic and internal ('archival') time steps... 
+#> ... On acoustic time step ('timestep_detection') 1. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |==================                                                    |  25%... On acoustic time step ('timestep_detection') 2. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |===================================                                   |  50%... On acoustic time step ('timestep_detection') 3. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> ... ... On internal time step ('timestep_archival') 2. 
+#> ... ... ... Acoustic container is expanding... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> 
  |                                                                            
  |====================================================                  |  75%... On acoustic time step ('timestep_detection') 4. 
+#> ... ... On internal time step ('timestep_archival') 1. 
+#> 
  |                                                                            
  |======================================================================| 100%
+#> ... Movement over acoustic and internal ('archival') time steps has been completed. 
+#> ... flapper::.acs() call completed (@ 2023-02-19 15:04:02) after ~0 minutes. 
+#> ... flapper::.acs_pl() call completed (@ 2023-02-19 15:04:02) after ~0 minutes. 
+#> flapper::ac() finished (@ 2023-02-19 15:04:02)...
+
+# List the files for pf()
+files <- pf_setup_record(root, type = "acs", pattern = "*.grd")
+utils::head(files)
+#> [1] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/ac//chu_1_acc_1_arc_1.grd"
+#> [2] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/ac//chu_1_acc_2_arc_1.grd"
+#> [3] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/ac//chu_1_acc_3_arc_1.grd"
+#> [4] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/ac//chu_1_acc_3_arc_2.grd"
+#> [5] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/ac//chu_1_acc_4_arc_1.grd"
+# Implement pf() using files (not shown).
+
+#### Example (2): Example with the DC algorithm
+# Define a directory in which to save files
+root <- paste0(tempdir(), "/dc/")
+dir.create(root)
+# Implement the DC algorithm for some example time series
+depth <- dat_archival[dat_archival$individual_id == 25, ][1:5, ]
+out_dc <- dc(archival = depth,
+             bathy = dat_gebco,
+             write_record_spatial_for_pf = list(filename = root))
+#> flapper::dc() called (@ 2023-02-19 15:04:02)... 
+#> ... Setting up function... 
+#> 'calc_depth_error' function taken to be independent of depth.
+#> ... Implementing calc_depth_error()... 
+#> ... Plotting movement time series (for each chunk)... 
+
+#> ... Implementing algorithm over time steps... 
+#> ... flapper::dc() call completed (@ 2023-02-19 15:04:02) after ~0 minutes. 
+# List the files for pf()
+files <- pf_setup_record(root, type = "dc", pattern = "*.grd")
+utils::head(files)
+#> [1] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/dc//arc_1.grd"
+#> [2] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/dc//arc_2.grd"
+#> [3] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/dc//arc_3.grd"
+#> [4] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/dc//arc_4.grd"
+#> [5] "/var/folders/lx/dhz6yx2n2b7bg93hwz8t97zr0000gq/T//RtmpUnZ226/dc//arc_5.grd"
+# Implement pf() using files (not shown).
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/pf_simplify-1.png b/docs/reference/pf_simplify-1.png index d44a2cb..b3e1ebb 100644 Binary files a/docs/reference/pf_simplify-1.png and b/docs/reference/pf_simplify-1.png differ diff --git a/docs/reference/pf_simplify-2.png b/docs/reference/pf_simplify-2.png index a92102c..ca7d9f3 100644 Binary files a/docs/reference/pf_simplify-2.png and b/docs/reference/pf_simplify-2.png differ diff --git a/docs/reference/pf_simplify-3.png b/docs/reference/pf_simplify-3.png index 8d169a4..0d84e3d 100644 Binary files a/docs/reference/pf_simplify-3.png and b/docs/reference/pf_simplify-3.png differ diff --git a/docs/reference/pf_simplify-4.png b/docs/reference/pf_simplify-4.png index eb7f3bf..de28337 100644 Binary files a/docs/reference/pf_simplify-4.png and b/docs/reference/pf_simplify-4.png differ diff --git a/docs/reference/pf_simplify.html b/docs/reference/pf_simplify.html index 7fb9b4e..e3f6718 100644 --- a/docs/reference/pf_simplify.html +++ b/docs/reference/pf_simplify.html @@ -1,67 +1,12 @@ - - - - - - - -Convert particle histories from pf into movement paths — pf_simplify • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Convert particle histories from pf into movement paths — pf_simplify • flapper - - - - + + -
    -
    - -
    - -
    +
    -

    Convert particle histories from pf into movement paths

    - Source: R/pf_simplify.R +

    Convert particle histories from pf into movement paths

    + Source: R/pf_simplify.R
    -

    This function is designed to simplify the pf_archive-class object from pf that defines sampled particle histories into a set of movement paths. The function identifies pairs of cells between which movement may have occurred at each time step (if necessary), (re)calculates distances and probabilities between connected cell pairs and then, if specified, links pairwise movements between cells into a set of possible movement paths.

    +

    This function is designed to simplify the pf_archive-class object from pf that defines sampled particle histories into a set of movement paths. The function identifies pairs of cells between which movement may have occurred at each time step (if necessary), (re)calculates distances and probabilities between connected cell pairs and then, if specified, links pairwise movements between cells into a set of possible movement paths.

    - 
    pf_simplify(
-  archive,
-  max_n_particles = NULL,
-  max_n_particles_sampler = c("random", "weighted", "max"),
-  bathy = NULL,
-  calc_distance = NULL,
-  calc_distance_lcp_fast = NULL,
-  calc_distance_graph = NULL,
-  calc_distance_limit = NULL,
-  calc_distance_barrier = NULL,
-  calc_distance_barrier_limit = NULL,
-  calc_distance_barrier_grid = NULL,
-  calc_distance_restrict = FALSE,
-  calc_distance_algorithm = "bi",
-  calc_distance_constant = 1,
-  mobility = NULL,
-  mobility_from_origin = mobility,
-  write_history = NULL,
-  cl = NULL,
-  varlist = NULL,
-  use_all_cores = FALSE,
-  return = c("path", "archive"),
-  summarise_pr = FALSE,
-  max_n_copies = NULL,
-  max_n_copies_sampler = c("random", "weighted", "max"),
-  max_n_paths = 100L,
-  add_origin = TRUE,
-  verbose = TRUE
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    archive

    A pf_archive-class object from pf.

    max_n_particles

    (optional) An integer that defines the maximum number of particles to selected at each time step. If supplied, particle samples are thinned, with max_n_particles retained at each time step (in a method specified by max_n_particles_sampler), prior to processing. This reduces computation time but may lead to failures in path building (if the subset of sample particles cannot be connected into any movement paths).

    max_n_particles_sampler

    If max_n_particles is supplied, max_n_particles_sampler is a character that defines the sampling method. Currently supported options are: "random", which implements random sampling; "weighted", which implements weighted sampling, with random samples taken according to their probability at the current time step; and "max", which selects the top max_n_particles most likely particles.

    bathy

    A raster that defines the grid across the area within which the individual could have moved. bathy must be planar (i.e., Universal Transverse Mercator projection) with units of metres in x and y directions. If calc_distance = "lcp", the surface's resolution is taken to define the distance between horizontally and vertically connected cells and must be the same in both x and y directions. Any cells with NA values (e.g., due to missing data) are treated as `impossible' to move though by the algorithm (see lcp_over_surface). If unsupplied, bathy can be extracted from archive, if available.

    calc_distance

    A character that defines the method used to calculate distances between sequential combinations of particles (see pf). Currently supported options are Euclidean distances ("euclid") or shortest (least-cost) distances ("lcp"). In practice, Euclidean distances are calculated and then, for the subset of connections that meet specified criteria (see calc_distance_limit, calc_distance_barrier, mobility_from_origin and mobility), Euclidean distances are updated to shortest distances, if specified. Note that calc_distance does not need to be the same method as used for pf: it is often computationally beneficial to implement pf using Euclidean distances and then, for the subset of sampled particles, implement pf_simplify with calc_distance = "lcp" to re-compute distances using the shortest-distances algorithm, along with the adjusted probabilities. However, for large paths, the quickest option is to implement both functions using calc_distance = "euclid" and then interpolate shortest paths only for the set of returned paths (see lcp_interp). If calc_distance = NULL, the method saved in archive is used.

    calc_distance_lcp_fast

    (optional) If calc_distance = "lcp", calc_distance_lcp_fast is a function that predicts the shortest distance. This function must accept two arguments (even if they are ignored): (a) a numeric vector of Euclidean distances and (b) an integer vector of barrier overlaps that defines whether (1) or not (1) each transect crosses a barrier (see lcp_comp). This option avoids the need to implement shortest-distance algorithms.

    calc_distance_graph

    (optional) If calc_distance = "lcp" and calc_distance_lcp_fast = NULL, calc_distance_graph is a graph object that defines the distances between connected cells in bathy. If unsupplied, this is taken from archive$args$calc_distance_graph, if available, or computed via lcp_graph_surface.

    calc_distance_limit

    (optional) If calc_distance = "lcp" and calc_distance_lcp_fast = NULL, calc_distance_limit is a number that defines the lower Euclidean distance limit for shortest-distances calculations. If supplied, shortest distances are only calculated for cell connections that are more than a Euclidean distance of calc_distance_limit apart. In other words, if supplied, it is assumed that there exists a valid shortest path (shorter than the maximum distance imposed by the animal's mobility constraints) if the Euclidean distance between two points is less than calc_distance_limit (unless that segment crosses a barrier: see calc_distance_barrier). This option can improve the speed of distance calculations. However, if supplied, note that Euclidean and shortest distances (and resultant probabilities) may be mixed in function outputs. This argument is currently only implemented for pf_archive-class objects derived with calc_distance = TRUE and calc_distance_euclid_fast = TRUE via pf for which connected cell pairs need to be derived (i.e., not following a previous implementation of pf_simplify).

    calc_distance_barrier

    (optional) If calc_distance = "lcp", calc_distance_barrier is a simple feature geometry that defines a barrier, such as the coastline, to movement (see segments_cross_barrier). The coordinate reference system for this object must match bathy. If supplied, shortest distances are only calculated for segments that cross a barrier (or exceed calc_distance_limit). This option can improve the speed of distance calculations. However, if supplied, note that Euclidean and shortest distances (and resultant probabilities) may be mixed in function outputs. All calc_distance_barrier* arguments are currently only implemented for pf_archive-class objects derived with calc_distance = TRUE and calc_distance_euclid_fast = TRUE via pf for which connected cell pairs need to be derived (i.e., not following a previous implementation of pf_simplify).

    calc_distance_barrier_limit

    (optional) If calc_distance_barrier is supplied, calc_distance_barrier_limit is the lower Euclidean limit for determining barrier overlaps. If supplied, barrier overlaps are only determined for cell connections that are more than calc_distance_barrier_limit apart. This option can reduce the number of cell connections for which barrier overlaps need to be determined (and ultimately the speed of distance calculations).

    calc_distance_barrier_grid

    (optional) If calc_distance_barrier is supplied, calc_distance_barrier_grid is a raster that defines the distance to the barrier (see segments_cross_barrier). The coordinate reference system must match bathy. If supplied, mobility_from_origin and mobility are also required. calc_distance_barrier_grid is used to reduce the wall time of the barrier-overlap routine (see segments_cross_barrier).

    calc_distance_restrict

    (optional) If and calc_distance_lcp_fast = NULL and calc_distance_limit and/or calc_distance_barrier are supplied, calc_distance_restrict is a logical variable that defines whether (TRUE) or not (FALSE) to restrict further the particle pairs for which shortest distances are calculated. If TRUE, the subset of particles flagged by calc_distance_limit and calc_distance_barrier for shortest-distance calculations is further restricted to consider only those pairs of particles for which there is not a valid connection to or from those particles under the Euclidean distance metric. Either way, there is no reduction in the set of particles, only in the number of connections evaluated between those particles. This can improve the speed of distance calculations.

    calc_distance_algorithm, calc_distance_constant

    Additional shortest-distance calculation options if calc_distance_lcp_fast = NULL (see get_distance_pair). calc_distance_algorithm is a character that defines the algorithm: "Dijkstra", "bi", "A*" or "NBA" are supported. calc_distance_constant is the numeric constant required to maintain the heuristic function admissible in the A* and NBA algorithms. For shortest distances (based on costs derived via lcp_costs), the default (calc_distance_constant = 1) is appropriate.

    mobility, mobility_from_origin

    (optional) The mobility parameters (see pf). If unsupplied, these can be extracted from archive, if available. However, even if pf was implemented without these options, it is beneficial to specify mobility limits here (especially if calc_distance = "lcp") because they restrict the number of calculations that are required (for example, for shortest distances, at each time step, distances are only calculated for the subset of particle connections below mobility_from_origin or mobility in distance).

    write_history

    A named list of arguments, passed to saveRDS, to write `intermediate' files. The `file' argument should be the directory in which to write files. This argument is currently only implemented for pf_archive-class objects derived with calc_distance = TRUE and calc_distance_euclid_fast = TRUE via pf for which connected cell pairs need to be derived (i.e., not following a previous implementation of pf_simplify). If supplied, two directories are created in `file' (1/ and 2/), in which dataframes of the pairwise distances between connected cells and the subset of those that formed continuous paths from the start to the end of the time series are written, respectively. Files are named by time steps as `pf_1', `pf_2' and so on. Files for each time step are written and re-read from this directory during particle processing. This helps to minimise vector memory requirements because the information for all time steps does not have to be retained in memory at once.

    cl, varlist, use_all_cores

    (optional) Parallelisation options for the first stage of the algorithm, which identifies connected cell pairs, associated distances and movement probabilities. The first parallelisation option is to parallelise the algorithm over time steps via cl. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. If cl is supplied, varlist may be required. This is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.The second parallelisation option is to parallelise shortest-distance calculations within time steps via a logical input (TRUE) to use_all_cores that is passed to get_distance_matrix. This option is only implemented for calc_distance = "lcp".

    return

    A character (return = "path" or return = "archive") that defines the type of object that is returned (see Details).

    summarise_pr

    (optional) For return = "archive", summarise_pf is a function or a logical input that defines whether or not (and how) to summarise the probabilities of duplicate cell records for each time step. If a function is supplied, only one record of each sampled cell is returned per time step, with the associated probability calculated from the probabilities of each sample of that cell using the supplied function. For example, summarise_pr = max returns the most probable sample. Alternatively, if a logical input (summarise_pr = TRUE) is supplied, only one record of each sampled cell is returned per time step, with the associated probability calculated as the sum of the normalised probabilities of all samples for that cell, rescaled so that the maximum probability takes a score of one. Specifying summarise_pr is useful for deriving maps of the `probability of use' across an area based on particle histories because it ensures that `probability of use' scores depend on the number of time steps during which an individual could have occupied a location, rather than the total number of samples of that location (see pf_plot_map). Both summarise_pr = NULL and summarise_pr = FALSE suppress this argument.

    max_n_copies

    (optional) For return = "path", max_n_copies is an integer that specifies the maximum number of copies of a sampled cell that are retained at each time stamp. Each copy represents a different route to that cell. By default, all copies (i.e. routes to that cell are retained) via max_n_copies = NULL. However, in cases where there are a large number of paths through a landscape, the function can run into vector memory limitations during path assembly, so max_n_copies may need to be set. In this case, at each time step, if there are more than max_n_copies paths to a given cell, then a subset of these (max_n_copies) are sampled, according to the max_n_copies_sampler argument.

    max_n_copies_sampler

    (optional) For return = "path", if max_n_copies is supplied, max_n_copies_sampler is a character that defines the sampling method. Currently supported options are: "random", which implements random sampling; "weighted", which implements weighted sampling, with random samples taken according to their probability at the current time step; and "max", which selects for the top max_n_copies most likely copies of a given cell according to the probability associated with movement into that cell from the previous location.

    max_n_paths

    (optional) For return = "path", max_n_paths is an integer that specifies the maximum number of paths to be reconstructed. During path assembly, following the implementation of max_n_copies (if provided), max_n_paths are selected at random at each time step. This option is provided to improve the speed of path assembly in situations with large numbers of paths. max_n_paths = NULL computes all paths (if possible).

    add_origin

    For return = "path", add_origin is a logical input that defines whether or not to include the origin in the returned dataframe.

    verbose

    A logical input that defines whether or not to print messages to the console to monitor function progress.

    - -

    Value

    - -

    If return = "archive", the function returns a pf_archive-class object, as inputted, but in which only the most likely record of each cell that was connected to cells at the next time step is retained and with the method = "pf_simplify" flag. If return = "path", the function returns a pf_path-class object, which is a dataframe that defines the movement paths.

    -

    Details

    - -

    The implementation of this function depends on how pf has been implemented and the return argument. Under the default options in pf, the fast Euclidean distances method is used to sample sequential particle positions, in which case the history of each particle through the landscape is not retained and has to be assembled afterwards. In this case, pf_simplify calculates the distances between all combinations of cells at each time step, using either a Euclidean distances or shortest distances algorithm according to the input to calc_distance. Distances are converted to probabilities using the `intrinsic' probabilities associated with each location and the movement models retained in archive from the call to pf to identify possible movement paths between cells at each time step. If the fast Euclidean distances method has not been used, then pairwise cell movements are retained by pf. In this case, the function simply recalculates distances between sequential cell pairs and the associated cell probabilities, which are then processed according to the return argument.

    -

    Following the identification of pairwise cell movements, if return = "archive", the function selects all of the unique cells at each time step that were connected to cells at the next time step. (For cells that were selected multiple times at a given time step, due to sampling with replacement in pf, if summarise_pr is supplied, only one sample is retained: in maps of the `probability of use' across an area (see pf_plot_map), this ensures that cell scores depend on the number of time steps when the individual could have occupied a given cell, rather than the total number of samples of a location.) Otherwise, if return = "path", pairwise cell movements are assembled into complete movement paths.

    -

    Author

    +
    + 
    pf_simplify(
+  archive,
+  max_n_particles = NULL,
+  max_n_particles_sampler = c("random", "weighted", "max"),
+  bathy = NULL,
+  calc_distance = NULL,
+  calc_distance_lcp_fast = NULL,
+  calc_distance_graph = NULL,
+  calc_distance_limit = NULL,
+  calc_distance_barrier = NULL,
+  calc_distance_barrier_limit = NULL,
+  calc_distance_barrier_grid = NULL,
+  calc_distance_restrict = FALSE,
+  calc_distance_algorithm = "bi",
+  calc_distance_constant = 1,
+  mobility = NULL,
+  mobility_from_origin = mobility,
+  write_history = NULL,
+  cl = NULL,
+  varlist = NULL,
+  use_all_cores = FALSE,
+  return = c("path", "archive"),
+  summarise_pr = FALSE,
+  max_n_copies = NULL,
+  max_n_copies_sampler = c("random", "weighted", "max"),
+  max_n_paths = 100L,
+  add_origin = TRUE,
+  verbose = TRUE
+)
    +
    + +
    +

    Arguments

    +
    archive
    +

    A pf_archive-class object from pf.

    + + +
    max_n_particles
    +

    (optional) An integer that defines the maximum number of particles to selected at each time step. If supplied, particle samples are thinned, with max_n_particles retained at each time step (in a method specified by max_n_particles_sampler), prior to processing. This reduces computation time but may lead to failures in path building (if the subset of sample particles cannot be connected into any movement paths).

    + + +
    max_n_particles_sampler
    +

    If max_n_particles is supplied, max_n_particles_sampler is a character that defines the sampling method. Currently supported options are: "random", which implements random sampling; "weighted", which implements weighted sampling, with random samples taken according to their probability at the current time step; and "max", which selects the top max_n_particles most likely particles.

    + + +
    bathy
    +

    A raster that defines the grid across the area within which the individual could have moved. bathy must be planar (i.e., Universal Transverse Mercator projection) with units of metres in x and y directions. If calc_distance = "lcp", the surface's resolution is taken to define the distance between horizontally and vertically connected cells and must be the same in both x and y directions. Any cells with NA values (e.g., due to missing data) are treated as `impossible' to move though by the algorithm (see lcp_over_surface). If unsupplied, bathy can be extracted from archive, if available.

    + + +
    calc_distance
    +

    A character that defines the method used to calculate distances between sequential combinations of particles (see pf). Currently supported options are Euclidean distances ("euclid") or shortest (least-cost) distances ("lcp"). In practice, Euclidean distances are calculated and then, for the subset of connections that meet specified criteria (see calc_distance_limit, calc_distance_barrier, mobility_from_origin and mobility), Euclidean distances are updated to shortest distances, if specified. Note that calc_distance does not need to be the same method as used for pf: it is often computationally beneficial to implement pf using Euclidean distances and then, for the subset of sampled particles, implement pf_simplify with calc_distance = "lcp" to re-compute distances using the shortest-distances algorithm, along with the adjusted probabilities. However, for large paths, the quickest option is to implement both functions using calc_distance = "euclid" and then interpolate shortest paths only for the set of returned paths (see lcp_interp). If calc_distance = NULL, the method saved in archive is used.

    + +
    calc_distance_lcp_fast
    +

    (optional) If calc_distance = "lcp", calc_distance_lcp_fast is a function that predicts the shortest distance. This function must accept two arguments (even if they are ignored): (a) a numeric vector of Euclidean distances and (b) an integer vector of barrier overlaps that defines whether (1) or not (1) each transect crosses a barrier (see lcp_comp). This option avoids the need to implement shortest-distance algorithms.

    + + +
    calc_distance_graph
    +

    (optional) If calc_distance = "lcp" and calc_distance_lcp_fast = NULL, calc_distance_graph is a graph object that defines the distances between connected cells in bathy. If unsupplied, this is taken from archive$args$calc_distance_graph, if available, or computed via lcp_graph_surface.

    + + +
    calc_distance_limit
    +

    (optional) If calc_distance = "lcp" and calc_distance_lcp_fast = NULL, calc_distance_limit is a number that defines the lower Euclidean distance limit for shortest-distances calculations. If supplied, shortest distances are only calculated for cell connections that are more than a Euclidean distance of calc_distance_limit apart. In other words, if supplied, it is assumed that there exists a valid shortest path (shorter than the maximum distance imposed by the animal's mobility constraints) if the Euclidean distance between two points is less than calc_distance_limit (unless that segment crosses a barrier: see calc_distance_barrier). This option can improve the speed of distance calculations. However, if supplied, note that Euclidean and shortest distances (and resultant probabilities) may be mixed in function outputs. This argument is currently only implemented for pf_archive-class objects derived with calc_distance = TRUE and calc_distance_euclid_fast = TRUE via pf for which connected cell pairs need to be derived (i.e., not following a previous implementation of pf_simplify).

    + + +
    calc_distance_barrier
    +

    (optional) If calc_distance = "lcp", calc_distance_barrier is a simple feature geometry that defines a barrier, such as the coastline, to movement (see segments_cross_barrier). The coordinate reference system for this object must match bathy. If supplied, shortest distances are only calculated for segments that cross a barrier (or exceed calc_distance_limit). This option can improve the speed of distance calculations. However, if supplied, note that Euclidean and shortest distances (and resultant probabilities) may be mixed in function outputs. All calc_distance_barrier* arguments are currently only implemented for pf_archive-class objects derived with calc_distance = TRUE and calc_distance_euclid_fast = TRUE via pf for which connected cell pairs need to be derived (i.e., not following a previous implementation of pf_simplify).

    + + +
    calc_distance_barrier_limit
    +

    (optional) If calc_distance_barrier is supplied, calc_distance_barrier_limit is the lower Euclidean limit for determining barrier overlaps. If supplied, barrier overlaps are only determined for cell connections that are more than calc_distance_barrier_limit apart. This option can reduce the number of cell connections for which barrier overlaps need to be determined (and ultimately the speed of distance calculations).

    + + +
    calc_distance_barrier_grid
    +

    (optional) If calc_distance_barrier is supplied, calc_distance_barrier_grid is a raster that defines the distance to the barrier (see segments_cross_barrier). The coordinate reference system must match bathy. If supplied, mobility_from_origin and mobility are also required. calc_distance_barrier_grid is used to reduce the wall time of the barrier-overlap routine (see segments_cross_barrier).

    + + +
    calc_distance_restrict
    +

    (optional) If and calc_distance_lcp_fast = NULL and calc_distance_limit and/or calc_distance_barrier are supplied, calc_distance_restrict is a logical variable that defines whether (TRUE) or not (FALSE) to restrict further the particle pairs for which shortest distances are calculated. If TRUE, the subset of particles flagged by calc_distance_limit and calc_distance_barrier for shortest-distance calculations is further restricted to consider only those pairs of particles for which there is not a valid connection to or from those particles under the Euclidean distance metric. Either way, there is no reduction in the set of particles, only in the number of connections evaluated between those particles. This can improve the speed of distance calculations.

    + + +
    calc_distance_algorithm, calc_distance_constant
    +

    Additional shortest-distance calculation options if calc_distance_lcp_fast = NULL (see get_distance_pair). calc_distance_algorithm is a character that defines the algorithm: "Dijkstra", "bi", "A*" or "NBA" are supported. calc_distance_constant is the numeric constant required to maintain the heuristic function admissible in the A* and NBA algorithms. For shortest distances (based on costs derived via lcp_costs), the default (calc_distance_constant = 1) is appropriate.

    + + +
    mobility, mobility_from_origin
    +

    (optional) The mobility parameters (see pf). If unsupplied, these can be extracted from archive, if available. However, even if pf was implemented without these options, it is beneficial to specify mobility limits here (especially if calc_distance = "lcp") because they restrict the number of calculations that are required (for example, for shortest distances, at each time step, distances are only calculated for the subset of particle connections below mobility_from_origin or mobility in distance).

    + + +
    write_history
    +

    A named list of arguments, passed to saveRDS, to write `intermediate' files. The `file' argument should be the directory in which to write files. This argument is currently only implemented for pf_archive-class objects derived with calc_distance = TRUE and calc_distance_euclid_fast = TRUE via pf for which connected cell pairs need to be derived (i.e., not following a previous implementation of pf_simplify). If supplied, two directories are created in `file' (1/ and 2/), in which dataframes of the pairwise distances between connected cells and the subset of those that formed continuous paths from the start to the end of the time series are written, respectively. Files are named by time steps as `pf_1', `pf_2' and so on. Files for each time step are written and re-read from this directory during particle processing. This helps to minimise vector memory requirements because the information for all time steps does not have to be retained in memory at once.

    + + +
    cl, varlist, use_all_cores
    +

    (optional) Parallelisation options for the first stage of the algorithm, which identifies connected cell pairs, associated distances and movement probabilities. The first parallelisation option is to parallelise the algorithm over time steps via cl. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. If cl is supplied, varlist may be required. This is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.The second parallelisation option is to parallelise shortest-distance calculations within time steps via a logical input (TRUE) to use_all_cores that is passed to get_distance_matrix. This option is only implemented for calc_distance = "lcp".

    + + +
    return
    +

    A character (return = "path" or return = "archive") that defines the type of object that is returned (see Details).

    + + +
    summarise_pr
    +

    (optional) For return = "archive", summarise_pf is a function or a logical input that defines whether or not (and how) to summarise the probabilities of duplicate cell records for each time step. If a function is supplied, only one record of each sampled cell is returned per time step, with the associated probability calculated from the probabilities of each sample of that cell using the supplied function. For example, summarise_pr = max returns the most probable sample. Alternatively, if a logical input (summarise_pr = TRUE) is supplied, only one record of each sampled cell is returned per time step, with the associated probability calculated as the sum of the normalised probabilities of all samples for that cell, rescaled so that the maximum probability takes a score of one. Specifying summarise_pr is useful for deriving maps of the `probability of use' across an area based on particle histories because it ensures that `probability of use' scores depend on the number of time steps during which an individual could have occupied a location, rather than the total number of samples of that location (see pf_plot_map). Both summarise_pr = NULL and summarise_pr = FALSE suppress this argument.

    + + +
    max_n_copies
    +

    (optional) For return = "path", max_n_copies is an integer that specifies the maximum number of copies of a sampled cell that are retained at each time stamp. Each copy represents a different route to that cell. By default, all copies (i.e. routes to that cell are retained) via max_n_copies = NULL. However, in cases where there are a large number of paths through a landscape, the function can run into vector memory limitations during path assembly, so max_n_copies may need to be set. In this case, at each time step, if there are more than max_n_copies paths to a given cell, then a subset of these (max_n_copies) are sampled, according to the max_n_copies_sampler argument.

    + + +
    max_n_copies_sampler
    +

    (optional) For return = "path", if max_n_copies is supplied, max_n_copies_sampler is a character that defines the sampling method. Currently supported options are: "random", which implements random sampling; "weighted", which implements weighted sampling, with random samples taken according to their probability at the current time step; and "max", which selects for the top max_n_copies most likely copies of a given cell according to the probability associated with movement into that cell from the previous location.

    + + +
    max_n_paths
    +

    (optional) For return = "path", max_n_paths is an integer that specifies the maximum number of paths to be reconstructed. During path assembly, following the implementation of max_n_copies (if provided), max_n_paths are selected at random at each time step. This option is provided to improve the speed of path assembly in situations with large numbers of paths. max_n_paths = NULL computes all paths (if possible).

    + + +
    add_origin
    +

    For return = "path", add_origin is a logical input that defines whether or not to include the origin in the returned dataframe.

    + + +
    verbose
    +

    A logical input that defines whether or not to print messages to the console to monitor function progress.

    + +
    +
    +

    Value

    + + +

    If return = "archive", the function returns a pf_archive-class object, as inputted, but in which only the most likely record of each cell that was connected to cells at the next time step is retained and with the method = "pf_simplify" flag. If return = "path", the function returns a pf_path-class object, which is a dataframe that defines the movement paths.

    +
    +
    +

    Details

    +

    The implementation of this function depends on how pf has been implemented and the return argument. Under the default options in pf, the fast Euclidean distances method is used to sample sequential particle positions, in which case the history of each particle through the landscape is not retained and has to be assembled afterwards. In this case, pf_simplify calculates the distances between all combinations of cells at each time step, using either a Euclidean distances or shortest distances algorithm according to the input to calc_distance. Distances are converted to probabilities using the `intrinsic' probabilities associated with each location and the movement models retained in archive from the call to pf to identify possible movement paths between cells at each time step. If the fast Euclidean distances method has not been used, then pairwise cell movements are retained by pf. In this case, the function simply recalculates distances between sequential cell pairs and the associated cell probabilities, which are then processed according to the return argument.

    +

    Following the identification of pairwise cell movements, if return = "archive", the function selects all of the unique cells at each time step that were connected to cells at the next time step. (For cells that were selected multiple times at a given time step, due to sampling with replacement in pf, if summarise_pr is supplied, only one sample is retained: in maps of the `probability of use' across an area (see pf_plot_map), this ensures that cell scores depend on the number of time steps when the individual could have occupied a given cell, rather than the total number of samples of a location.) Otherwise, if return = "path", pairwise cell movements are assembled into complete movement paths.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example particle histories
-# In these examples, we will use the example particle histories included in flapper
-summary(dat_dcpf_histories)
-
    #>         Length Class  Mode     
-#> history 18     -none- list     
-#> method   1     -none- character
-#> args    21     -none- list     
    
-#### Example (1): The default implementation
-paths_1   <- pf_simplify(dat_dcpf_histories)
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:07:51)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... Assembling paths... 
-#> ... Formatting paths... 
-#> ... Adding cell coordinates and depths... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:07:51) after ~0 minutes. 
    
-## Demonstration that the distance and probabilities calculations are correct
-# The simple method below works if three conditions are met:
-# ... The 'intrinsic' probability associated with each cell is the same (as for DC algorithm);
-# ... Paths have been reconstructed via pf_simplify() using Euclidean distances;
-# ... The calc_movement_pr() movement model applies to all time steps;
-require(magrittr)
-
    #> Loading required package: magrittr
    #> 
-#> Attaching package: ‘magrittr’
    #> The following object is masked from ‘package:rlang’:
-#> 
-#>     set_names
    require(rlang)
-paths_1 <-
-  paths_1 %>%
-  dplyr::group_by(.data$path_id) %>%
-  dplyr::mutate(cell_xp = dplyr::lag(.data$cell_x),
-                cell_yp = dplyr::lag(.data$cell_y),
-                cell_dist_chk = sqrt((.data$cell_xp - .data$cell_x)^2 +
-                                       (.data$cell_yp - .data$cell_y)^2),
-                cell_pr_chk = dat_dcpf_histories$args$calc_movement_pr(.data$cell_dist_chk),
-                dist_equal = .data$cell_dist_chk == .data$cell_dist_chk,
-                pr_equal = .data$cell_pr == .data$cell_pr_chk) %>%
-  data.frame()
-utils::head(paths_1)
-
    #>   path_id timestep cell_id   cell_x  cell_y   cell_z      cell_pr      dist
-#> 1       1        0    3241 708897.1 6254392 135.0958 1.000000e+00        NA
-#> 2       1        1    3722 708922.1 6254242 134.0199 1.808832e-05 152.06906
-#> 3       1        2    3243 708947.1 6254392 133.6996 1.663445e-05 152.06906
-#> 4       1        3    3166 709022.1 6254416 133.6938 1.569277e-04  79.05694
-#> 5       1        4    3006 709022.1 6254466 134.0630 1.826367e-04  50.00000
-#> 6       1        5    3009 709097.1 6254466 134.9762 1.547789e-04  75.00000
-#>    cell_xp cell_yp cell_dist_chk cell_pr_chk dist_equal pr_equal
-#> 1       NA      NA            NA          NA         NA       NA
-#> 2 708897.1 6254392     152.06906  0.06891651       TRUE    FALSE
-#> 3 708922.1 6254242     152.06906  0.06891651       TRUE    FALSE
-#> 4 708947.1 6254392      79.05694  0.74022781       TRUE    FALSE
-#> 5 709022.1 6254416      50.00000  0.92414182       TRUE    FALSE
-#> 6 709022.1 6254466      75.00000  0.77729986       TRUE    FALSE
    
-## Demonstration that the depths of sampled cells are correct
-paths_1$cell_z_chk <- raster::extract(dat_dcpf_histories$args$bathy,
-                                      paths_1$cell_id)
-all.equal(paths_1$cell_z, paths_1$cell_z_chk)
-
    #> [1] TRUE
    
-## Compare depth time series
-# There is a relatively large degree of mismatch here, which reflects
-# ... the low resolution bathymetry data used for the algorithm.
-pf_plot_1d(paths_1, dat_dc$args$archival)
-
    
-## Examine paths
-# Log likelihood
-pf_loglik(paths_1)
-
    #>    path_id    loglik      delta
-#> 1        4 -145.7709 0.00000000
-#> 2        5 -145.8111 0.04017947
-#> 3        3 -145.8431 0.07217439
-#> 4        2 -145.9346 0.16376265
-#> 5        1 -146.8934 1.12246741
-#> 6       19 -147.6582 1.88729381
-#> 7       24 -147.6644 1.89348096
-#> 8       18 -147.6736 1.90275861
-#> 9       23 -147.6798 1.90894575
-#> 10       9 -147.6820 1.91112531
-#> 11      14 -147.6882 1.91731246
-#> 12       8 -147.6975 1.92659011
-#> 13      13 -147.7037 1.93277725
-#> 14      16 -147.7395 1.96864247
-#> 15      17 -147.7395 1.96864247
-#> 16      21 -147.7457 1.97482962
-#> 17      22 -147.7457 1.97482962
-#> 18       6 -147.7634 1.99247397
-#> 19       7 -147.7634 1.99247397
-#> 20      11 -147.7695 1.99866112
-#> 21      12 -147.7695 1.99866112
-#> 22      20 -151.9751 6.20417920
-#> 23      25 -151.9813 6.21036635
-#> 24      10 -151.9989 6.22801070
-#> 25      15 -152.0051 6.23419785
    # 2-d visualisation
-pf_plot_2d(paths_1, dat_dcpf_histories$args$bathy,
-           add_paths = list(length = 0.05))
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    # 3-d visualisation
-pf_plot_3d(paths_1, dat_dcpf_histories$args$bathy)
-
    #> Defining plot properties...
-#> Producing plot...
    
-#### Example (2): Re-calculate distances as shortest distances
-
-## Implement flapper::pf()
-# For this example, we need to increase the number of particles
-# ... for Euclidean-based sampling to generate viable paths
-# ... when we consider shortest distances
-set.seed(1)
-dcpf_args <- dat_dcpf_histories$args
-dcpf_args$calc_distance_euclid_fast <- TRUE
-dcpf_args$n <- 50
-out_dcpf_2 <- do.call(pf, dcpf_args)
-
    #> flapper::pf() called (@ 2022-06-17 10:07:52)... 
-#> ... Setting up function... 
-#> ... Determining the set of possible starting locations (t = 1)... 
-#> ... Implementing algorithm iteratively over time steps... 
-#> ... ... Time = 1... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 2... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 3... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 4... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 5... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 6... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 7... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 8... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 9... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 10... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 11... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 12... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 13... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 14... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 15... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 16... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 17... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 18... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... flapper::pf() call completed (@ 2022-06-17 10:07:53) after ~0.02 minutes. 
    
-## Implement pf_simplify() using shortest distances
-paths_2 <- pf_simplify(out_dcpf_2, calc_distance = "lcp")
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:07:53)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'lcp'... 
-#> ... Setting up LCP calculations... 
-#> ... ... Setting up cost-surface for calc_distance = 'lcp'... 
-#> flapper::lcp_costs() called (@ 2022-06-17 10:07:53)... 
-#> ... Defining transition matrices... 
    #> Warning: transition function gives negative values
    #> ... Calculating distance matrices... 
-#> ... Assembling LCP costs... 
-#> ... flapper::lcp_costs() call completed (@ 2022-06-17 10:07:53) after ~0 minutes. 
-#> flapper::lcp_graph_surface() called (@ 2022-06-17 10:07:53)... 
-#> ... Defining nodes, edges and costs to make graph... 
-#> ... Constructing graph object... 
-#> ... flapper::lcp_graph_surface() call completed (@ 2022-06-17 10:07:53) after ~0 minutes. 
-#> ... ... Stepping through time steps to join coordinate pairs... 
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> ... ... Identifying connected cells... 
-#> ... Assembling paths... 
-#> ... Formatting paths... 
-#> ... Adding cell coordinates and depths... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:07:53) after ~0.01 minutes. 
    # ... Duration: ~ 0.655 s
-system.time(
-  invisible(utils::capture.output(
-    pf_simplify(out_dcpf_2, calc_distance = "lcp")
-    ))
-  )
-
    #> Warning: transition function gives negative values
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #>    user  system elapsed 
-#>   0.639   0.003   0.643 
    
-## Demonstrate the LCP calculations are correct
-paths_2_lcps <- lcp_interp(paths_2,
-                            out_dcpf_2$args$bathy,
-                            calc_distance = TRUE)
-
    #> flapper::lcp_interp() called (@ 2022-06-17 10:07:54)... 
-#> ... Setting up function... 
-#> ... Processing paths... 
-#> ... Calculating least-cost paths via flapper::lcp_over_surface()... 
-#> flapper::lcp_over_surface() called (@ 2022-06-17 10:07:54)... 
-#> ... Checking user inputs... 
    #> ... Defining cost matrix... 
    #> Warning: transition function gives negative values
    #> ... Using method = 'cppRouting'... 
-#> ... ... Defining nodes, edges and costs to make graph... 
-#> ... ... Constructing graph object... 
-#> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
    #> Running bidirectional Dijkstra...
    #> ... flapper::lcp_over_surface() call completed (@ 2022-06-17 10:07:55) after ~0.01 minutes. 
-#> ... Summarising distances for each least-cost path... 
-#> ... flapper::lcp_interp() call completed (@ 2022-06-17 10:07:56) after ~0.02 minutes. 
    head(cbind(paths_2$dist, paths_2_lcps$dist_lcp$dist))
-
    #>           [,1]      [,2]
-#> [1,]        NA        NA
-#> [2,]  85.37946  85.37946
-#> [3,] 170.73058 170.73058
-#> [4,] 156.07439 156.07439
-#> [5,] 106.07626 106.07626
-#> [6,] 100.06107 100.06107
    
-## Trial options for increasing speed of shortest-distance calculations
-# Speed up shortest-distance calculations via (a) the graph:
-# ... Duration: ~0.495 s
-# ... Note that you may achieve further speed improvements via
-# ... a simplified/contracted graph
-# ... ... see cppRouting::cpp_simplify()
-# ... ... see cppRouting::cpp_contract()
-costs <- lcp_costs(out_dcpf_2$args$bathy)
-
    #> flapper::lcp_costs() called (@ 2022-06-17 10:07:56)... 
-#> ... Defining transition matrices... 
    #> Warning: transition function gives negative values
    #> ... Calculating distance matrices... 
-#> ... Assembling LCP costs... 
-#> ... flapper::lcp_costs() call completed (@ 2022-06-17 10:07:56) after ~0 minutes. 
    graph <- lcp_graph_surface(out_dcpf_2$args$bathy, costs$dist_total)
-
    #> flapper::lcp_graph_surface() called (@ 2022-06-17 10:07:56)... 
-#> ... Defining nodes, edges and costs to make graph... 
-#> ... Constructing graph object... 
-#> ... flapper::lcp_graph_surface() call completed (@ 2022-06-17 10:07:56) after ~0 minutes. 
    system.time(
-  invisible(utils::capture.output(
-    pf_simplify(out_dcpf_2,
-                calc_distance = "lcp",
-                calc_distance_graph = graph)
-  ))
-)
-
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #>    user  system elapsed 
-#>   0.509   0.001   0.510 
    # Speed up shortest-distance calculations via (b) the lower Euclid dist limit
-# ... Duration: ~0.493 s
-costs <- lcp_costs(out_dcpf_2$args$bathy)
-
    #> flapper::lcp_costs() called (@ 2022-06-17 10:07:57)... 
-#> ... Defining transition matrices... 
    #> Warning: transition function gives negative values
    #> ... Calculating distance matrices... 
-#> ... Assembling LCP costs... 
-#> ... flapper::lcp_costs() call completed (@ 2022-06-17 10:07:57) after ~0 minutes. 
    graph <- lcp_graph_surface(out_dcpf_2$args$bathy, costs$dist_total)
-
    #> flapper::lcp_graph_surface() called (@ 2022-06-17 10:07:57)... 
-#> ... Defining nodes, edges and costs to make graph... 
-#> ... Constructing graph object... 
-#> ... flapper::lcp_graph_surface() call completed (@ 2022-06-17 10:07:57) after ~0 minutes. 
    system.time(
-  invisible(utils::capture.output(
-    pf_simplify(out_dcpf_2,
-                calc_distance = "lcp",
-                calc_distance_graph = graph,
-                calc_distance_limit = 100)
-  ))
-)
-
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #>    user  system elapsed 
-#>   0.478   0.002   0.480 
    # Speed up shortest-distance calculations via (c) the barrier
-# ... Duration: ~1.411 s (much slower in this example)
-coastline <- sf::st_as_sf(dat_coast)
-sf::st_crs(coastline) <- NA
-system.time(
-  invisible(utils::capture.output(
-    pf_simplify(out_dcpf_2,
-                calc_distance = "lcp",
-                calc_distance_graph = graph,
-                calc_distance_limit = 100,
-                calc_distance_barrier = coastline)
-  ))
-)
-
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #>    user  system elapsed 
-#>   1.404   0.003   1.407 
    # Speed up calculations via (d) mobility limits
-# ... (In the examples above, the mobility parameters
-# ... can be extracted from out_dcpf_2,
-# ... so specifying them directly here in this example makes
-# ... no material difference, but this is not necessarily the case
-# ... if pf() has been implemented without mobility parameters).
-system.time(
-  invisible(utils::capture.output(
-    pf_simplify(out_dcpf_2,
-                calc_distance = "lcp",
-                calc_distance_graph = graph,
-                calc_distance_limit = 100,
-                mobility = 200,
-                mobility_from_origin = 200)
-  ))
-)
-
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #> Running bidirectional Dijkstra...
    #>    user  system elapsed 
-#>   0.488   0.001   0.491 
    # Speed up calculations via (e) parallelisation
-# ... see the details in the documentation.
-
-#### Example (3): Restrict the number of routes to each cell at each time step
-# Implement approach for different numbers of copies
-# Since we only have sampled a small number of particles for this simulation
-# ... this does not make any difference here, but it can dramatically reduce
-# ... the time taken to assemble paths and prevent vector memory issues.
-paths_3a <- pf_simplify(dat_dcpf_histories, max_n_copies = 1)
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:08:00)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... Assembling paths... 
-#> ... Formatting paths... 
-#> ... Adding cell coordinates and depths... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:08:00) after ~0 minutes. 
    paths_3b <- pf_simplify(dat_dcpf_histories, max_n_copies = 5)
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:08:00)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... Assembling paths... 
-#> ... Formatting paths... 
-#> ... Adding cell coordinates and depths... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:08:01) after ~0 minutes. 
    paths_3c <- pf_simplify(dat_dcpf_histories, max_n_copies = 7)
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:08:01)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... Assembling paths... 
-#> ... Formatting paths... 
-#> ... Adding cell coordinates and depths... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:08:01) after ~0 minutes. 
    # Compare the number of paths retained
-unique(paths_3a$path_id)
-
    #>  [1]  1  2  3  4  5  6  7  8  9 10
    unique(paths_3b$path_id)
-
    #>  [1]  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
    unique(paths_3c$path_id)
-
    #>  [1]  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
    
-#### Example (4): Change the sampling method used to retain paths
-# Again, this doesn't make a difference here, but it can when there are
-# ... more particles.
-paths_4a <- pf_simplify(dat_dcpf_histories,
-                          max_n_copies = 5,
-                          max_n_copies_sampler = "random")
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:08:01)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... Assembling paths... 
-#> ... Formatting paths... 
-#> ... Adding cell coordinates and depths... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:08:01) after ~0 minutes. 
    paths_4b <- pf_simplify(dat_dcpf_histories,
-                          max_n_copies = 5,
-                          max_n_copies_sampler = "weighted")
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:08:01)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... Assembling paths... 
-#> ... Formatting paths... 
-#> ... Adding cell coordinates and depths... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:08:01) after ~0 minutes. 
    paths_4c <- pf_simplify(dat_dcpf_histories,
-                          max_n_copies = 5,
-                          max_n_copies_sampler = "max")
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:08:01)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... Assembling paths... 
-#> ... Formatting paths... 
-#> ... Adding cell coordinates and depths... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:08:02) after ~0 minutes. 
    # Compare retained paths
-pf_loglik(paths_3a)
-
    #>    path_id    loglik      delta
-#> 1        1 -145.7709 0.00000000
-#> 2        3 -145.8111 0.04017947
-#> 3        4 -145.8431 0.07217439
-#> 4        5 -145.9346 0.16376265
-#> 5        2 -146.8934 1.12246741
-#> 6        7 -147.6820 1.91112531
-#> 7        8 -147.6975 1.92659011
-#> 8        6 -147.7634 1.99247397
-#> 9        9 -147.7634 1.99247397
-#> 10      10 -151.9989 6.22801070
    pf_loglik(paths_3b)
-
    #>    path_id    loglik      delta
-#> 1        1 -145.7709 0.00000000
-#> 2        3 -145.8111 0.04017947
-#> 3        4 -145.8431 0.07217439
-#> 4        5 -145.9346 0.16376265
-#> 5        2 -146.8934 1.12246741
-#> 6       10 -147.6582 1.88729381
-#> 7       11 -147.6644 1.89348096
-#> 8       15 -147.6736 1.90275861
-#> 9       16 -147.6798 1.90894575
-#> 10      13 -147.6820 1.91112531
-#> 11      12 -147.6882 1.91731246
-#> 12      14 -147.6975 1.92659011
-#> 13      17 -147.7037 1.93277725
-#> 14       6 -147.7395 1.96864247
-#> 15      21 -147.7395 1.96864247
-#> 16       8 -147.7457 1.97482962
-#> 17      20 -147.7457 1.97482962
-#> 18       7 -147.7634 1.99247397
-#> 19      18 -147.7634 1.99247397
-#> 20       9 -147.7695 1.99866112
-#> 21      19 -147.7695 1.99866112
-#> 22      24 -151.9751 6.20417920
-#> 23      23 -151.9813 6.21036635
-#> 24      22 -151.9989 6.22801070
-#> 25      25 -152.0051 6.23419785
    pf_loglik(paths_3c)
-
    #>    path_id    loglik      delta
-#> 1        1 -145.7709 0.00000000
-#> 2        3 -145.8111 0.04017947
-#> 3        4 -145.8431 0.07217439
-#> 4        5 -145.9346 0.16376265
-#> 5        2 -146.8934 1.12246741
-#> 6       11 -147.6582 1.88729381
-#> 7       10 -147.6644 1.89348096
-#> 8       16 -147.6736 1.90275861
-#> 9       17 -147.6798 1.90894575
-#> 10      12 -147.6820 1.91112531
-#> 11      13 -147.6882 1.91731246
-#> 12      14 -147.6975 1.92659011
-#> 13      15 -147.7037 1.93277725
-#> 14       9 -147.7395 1.96864247
-#> 15      20 -147.7395 1.96864247
-#> 16       7 -147.7457 1.97482962
-#> 17      18 -147.7457 1.97482962
-#> 18       6 -147.7634 1.99247397
-#> 19      19 -147.7634 1.99247397
-#> 20       8 -147.7695 1.99866112
-#> 21      21 -147.7695 1.99866112
-#> 22      25 -151.9751 6.20417920
-#> 23      22 -151.9813 6.21036635
-#> 24      24 -151.9989 6.22801070
-#> 25      23 -152.0051 6.23419785
    
-#### Example (5): Set the maximum number of paths for reconstruction (for speed)
-# Reconstruct all paths (note you may experience vector memory limitations)
-# unique(pf_simplify(dat_dcpf_histories, max_n_paths = NULL)$path_id)
-# Reconstruct one path
-unique(pf_simplify(dat_dcpf_histories, max_n_paths = 1)$path_id)
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:08:02)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... Assembling paths... 
-#> ... Formatting paths... 
-#> ... Adding cell coordinates and depths... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:08:02) after ~0 minutes. 
    #> [1] 1
    # Reconstruct (at most) five paths
-unique(pf_simplify(dat_dcpf_histories, max_n_paths = 5)$path_id)
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:08:02)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... Assembling paths... 
-#> ... Formatting paths... 
-#> ... Adding cell coordinates and depths... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:08:02) after ~0 minutes. 
    #> [1] 1 2 3 4 5
    
-#### Example (6): Retain/drop the origin, if specified
-# For the example particle histories, an origin was specified
-dat_dcpf_histories$args$origin
-
    #>          [,1]    [,2]
-#> [1,] 708886.3 6254404
    # This is included as 'timestep = 0' in the returned dataframe
-# ... with the coordinates re-defined on bathy:
-paths_5a <- pf_simplify(dat_dcpf_histories)
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:08:02)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... Assembling paths... 
-#> ... Formatting paths... 
-#> ... Adding cell coordinates and depths... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:08:02) after ~0 minutes. 
    paths_5a[1, c("cell_x", "cell_y")]
-
    #>     cell_x  cell_y
-#> 1 708897.1 6254392
    raster::xyFromCell(dat_dcpf_histories$args$bathy,
-                   raster::cellFromXY(dat_dcpf_histories$args$bathy,
-                                      dat_dcpf_histories$args$origin))
-
    #>             x       y
-#> [1,] 708897.1 6254392
    head(paths_5a)
-
    #>   path_id timestep cell_id   cell_x  cell_y   cell_z      cell_pr      dist
-#> 1       1        0    3241 708897.1 6254392 135.0958 1.000000e+00        NA
-#> 2       1        1    3722 708922.1 6254242 134.0199 1.808832e-05 152.06906
-#> 3       1        2    3243 708947.1 6254392 133.6996 1.663445e-05 152.06906
-#> 4       1        3    3166 709022.1 6254416 133.6938 1.569277e-04  79.05694
-#> 5       1        4    3006 709022.1 6254466 134.0630 1.826367e-04  50.00000
-#> 6       1        5    3009 709097.1 6254466 134.9762 1.547789e-04  75.00000
    # If specified, the origin is dropped with add_origin = FALSE
-paths_5b <- pf_simplify(dat_dcpf_histories, add_origin = FALSE)
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:08:02)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... Assembling paths... 
-#> ... Formatting paths... 
-#> ... Adding cell coordinates and depths... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:08:02) after ~0 minutes. 
    head(paths_5b)
-
    #>   path_id timestep cell_id   cell_x  cell_y   cell_z      cell_pr      dist
-#> 1       1        1    3722 708922.1 6254242 134.0199 1.808832e-05 152.06906
-#> 2       1        2    3243 708947.1 6254392 133.6996 1.663445e-05 152.06906
-#> 3       1        3    3166 709022.1 6254416 133.6938 1.569277e-04  79.05694
-#> 4       1        4    3006 709022.1 6254466 134.0630 1.826367e-04  50.00000
-#> 5       1        5    3009 709097.1 6254466 134.9762 1.547789e-04  75.00000
-#> 6       1        6    3329 709097.1 6254366 135.3115 1.049538e-04 100.00000
    
-#### Example (6) Get particle samples for connected particles
-## Implement DCPF with more particles for demonstration purposes
-set.seed(1)
-dcpf_args <- dat_dcpf_histories$args
-dcpf_args$calc_distance_euclid_fast <- TRUE
-dcpf_args$n <- 250
-out_dcpf_6a <- do.call(pf, dcpf_args)
-
    #> flapper::pf() called (@ 2022-06-17 10:08:02)... 
-#> ... Setting up function... 
-#> ... Determining the set of possible starting locations (t = 1)... 
-#> ... Implementing algorithm iteratively over time steps... 
-#> ... ... Time = 1... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 2... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 3... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 4... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 5... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 6... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 7... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 8... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 9... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 10... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 11... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 12... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 13... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 14... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 15... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 16... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 17... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... ... ... For each particle, getting the possible positions for the next time step... 
-#> ... ... Time = 18... 
-#> ... ... ... Selecting candidate starting positions for the current time step... 
-#> ... flapper::pf() call completed (@ 2022-06-17 10:08:11) after ~0.15 minutes. 
    head(out_dcpf_6a$history[[1]])
-
    #>   id_current   pr_current timestep
-#> 1       3243 2.425569e-04        1
-#> 2       2921 1.312336e-04        1
-#> 3       3396 3.947544e-05        1
-#> 4       3159 2.364016e-04        1
-#> 5       3320 2.525012e-04        1
-#> 6       3237 1.312336e-04        1
    ## Extract particle samples for connected particles
-# There may be multiple records of any given cell at any given time step
-# ... due to sampling with replacement.
-out_dcpf_6b <- pf_simplify(out_dcpf_6a, return = "archive")
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:08:11)... 
-#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
-#> ... ... Stepping through time steps to join coordinate pairs... 
-#> ... ... Identifying connected cells... 
-#> ... ... Processing connected cells for return = 'archive'... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:08:11) after ~0 minutes. 
    head(out_dcpf_6b$history[[1]])
-
    #>   timestep id_previous id_current dist_current   pr_current
-#> 1        1        3241       2838     145.7738 2.416378e-05
-#> 2        1        3241       2839     134.6291 3.947544e-05
-#> 3        1        3241       2841     125.0000 5.845148e-05
-#> 4        1        3241       2842     127.4755 5.302119e-05
-#> 5        1        3241       2917     141.4214 2.938080e-05
-#> 6        1        3241       2918     125.0000 5.845148e-05
    table(duplicated(out_dcpf_6b$history[[1]]$id_current))
-
    #> 
-#> FALSE 
-#>    90 
    ## Extract particle samples for connected particles,
-# ... with only the most likely record of each particle returned.
-# We can implement the approach using out_dcpf_6b
-# ... to skip distance calculations.
-# Now, there is only one (the most likely) record of sampled cells
-# ... at each time step.
-out_dcpf_6c <- pf_simplify(out_dcpf_6b,
-                           summarise_pr = TRUE,
-                           return = "archive")
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:08:11)... 
-#> ... ... Processing connected cells for return = 'archive'... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:08:12) after ~0 minutes. 
    head(out_dcpf_6c$history[[1]])
-
    #>   timestep id_previous id_current dist_current  pr_current
-#> 1        1        3241       2838     145.7738 0.002078627
-#> 2        1        3241       2839     134.6291 0.003395774
-#> 3        1        3241       2841     125.0000 0.005028139
-#> 4        1        3241       2842     127.4755 0.004561012
-#> 5        1        3241       2917     141.4214 0.002527408
-#> 6        1        3241       2918     125.0000 0.005028139
    table(duplicated(out_dcpf_6c$history[[1]]$id_current))
-
    #> 
-#> FALSE 
-#>    90 
    ## Make movement paths
-# Again, we use out_dcpf_6b to skip distance calculations.
-out_dcpf_6d <- pf_simplify(out_dcpf_6b,
-                           max_n_copies = 2L,
-                           return = "path")
-
    #> flapper::pf_simplify() called (@ 2022-06-17 10:08:12)... 
-#> ... Assembling paths... 
-#> ... Formatting paths... 
-#> ... Adding cell coordinates and depths... 
-#> ... flapper::pf_simplify() call completed (@ 2022-06-17 10:08:12) after ~0.01 minutes. 
    ## Compare resultant maps
-# The map for all particles is influenced by particles that were 'dead ends',
-# ... which isn't ideal for a map of space use.
-# The map for connected samples deals with this problem, but is influenced by
-# ... the total number of samples of each cell, rather than the number of time steps
-# ... in which the individual could have been located in a given cell.
-# The map for unique, connected samples deals with this issue, so that scores
-# ... represent the number of time steps in which the individual could have occupied
-# ... a given cell, over the length of the time series.
-# The map for the paths are sparser because paths have only been reconstructed
-# ... for a sample of sampled particles.
-pp <- par(mfrow = c(2, 2), oma = c(2, 2, 2, 2), mar = c(2, 4, 2, 4))
-paa <- list(side = 1:4, axis = list(labels = FALSE))
-transform = NULL
-m_1 <- pf_plot_map(out_dcpf_6a, dcpf_args$bathy,
-                   transform = transform,
-                   pretty_axis_args = paa, main = "all samples")
-
    #> Warning: xpf$history[[1]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[2]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[3]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[4]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[5]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[6]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[7]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[8]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[9]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[10]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[11]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[12]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[13]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[14]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[15]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[16]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[17]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> Warning: xpf$history[[18]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    m_2 <- pf_plot_map(out_dcpf_6b, dcpf_args$bathy,
-                   transform = transform,
-                   pretty_axis_args = paa, main = "connected samples")
-
    #> Warning: xpf$history[[2]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[3]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[4]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[5]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[6]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[7]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[8]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[9]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[10]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[11]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[12]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[13]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[14]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[15]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[16]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[17]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> Warning: xpf$history[[18]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    m_3 <- pf_plot_map(out_dcpf_6c, dcpf_args$bathy,
-                   transform = transform,
-                   pretty_axis_args = paa, main = "unique, connected samples")
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    m_4 <- pf_plot_map(out_dcpf_6d, dcpf_args$bathy,
-                   transform = transform,
-                   pretty_axis_args = paa, main = "paths")
-
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    par(pp)
-# Note that all locations in reconstructed paths are derived from PF samples
-all(out_dcpf_6d$cell_id[out_dcpf_6d$timestep != 0] %in%
-      do.call(rbind, out_dcpf_6c$history)$id_current)
-
    #> [1] TRUE
    # But the paths only contain a subset of sampled particles
-h_6a <- lapply(out_dcpf_6a$history, function(elm) elm[, "id_current"])
-table(unique(unlist(h_6a)) %in% out_dcpf_6d$cell_id[out_dcpf_6d$timestep != 0])
-
    #> 
-#> FALSE  TRUE 
-#>  1637   304 
    h_6b <- lapply(out_dcpf_6b$history, function(elm) elm[, "id_current"])
-table(unique(unlist(h_6b)) %in% out_dcpf_6d$cell_id[out_dcpf_6d$timestep != 0])
-
    #> 
-#> FALSE  TRUE 
-#>  1320   304 
    
-
    +
    +

    Examples

    + 
    #### Example particle histories
+# In these examples, we will use the example particle histories included in flapper
+summary(dat_dcpf_histories)
+#>         Length Class  Mode     
+#> history 18     -none- list     
+#> method   1     -none- character
+#> args    21     -none- list     
+
+#### Example (1): The default implementation
+paths_1   <- pf_simplify(dat_dcpf_histories)
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:02)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... Assembling paths... 
+#> ... Formatting paths... 
+#> ... Adding cell coordinates and depths... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:03) after ~0 minutes. 
+
+## Demonstration that the distance and probabilities calculations are correct
+# The simple method below works if three conditions are met:
+# ... The 'intrinsic' probability associated with each cell is the same (as for DC algorithm);
+# ... Paths have been reconstructed via pf_simplify() using Euclidean distances;
+# ... The calc_movement_pr() movement model applies to all time steps;
+require(magrittr)
+#> Loading required package: magrittr
+#> 
+#> Attaching package: ‘magrittr’
+#> The following object is masked from ‘package:rlang’:
+#> 
+#>     set_names
+require(rlang)
+paths_1 <-
+  paths_1 %>%
+  dplyr::group_by(.data$path_id) %>%
+  dplyr::mutate(cell_xp = dplyr::lag(.data$cell_x),
+                cell_yp = dplyr::lag(.data$cell_y),
+                cell_dist_chk = sqrt((.data$cell_xp - .data$cell_x)^2 +
+                                       (.data$cell_yp - .data$cell_y)^2),
+                cell_pr_chk = dat_dcpf_histories$args$calc_movement_pr(.data$cell_dist_chk),
+                dist_equal = .data$cell_dist_chk == .data$cell_dist_chk,
+                pr_equal = .data$cell_pr == .data$cell_pr_chk) %>%
+  data.frame()
+utils::head(paths_1)
+#>   path_id timestep cell_id   cell_x  cell_y   cell_z      cell_pr      dist
+#> 1       1        0    3241 708897.1 6254392 135.0958 1.000000e+00        NA
+#> 2       1        1    3722 708922.1 6254242 134.0199 1.808832e-05 152.06906
+#> 3       1        2    3243 708947.1 6254392 133.6996 1.663445e-05 152.06906
+#> 4       1        3    3166 709022.1 6254416 133.6938 1.569277e-04  79.05694
+#> 5       1        4    3006 709022.1 6254466 134.0630 1.826367e-04  50.00000
+#> 6       1        5    3009 709097.1 6254466 134.9762 1.547789e-04  75.00000
+#>    cell_xp cell_yp cell_dist_chk cell_pr_chk dist_equal pr_equal
+#> 1       NA      NA            NA          NA         NA       NA
+#> 2 708897.1 6254392     152.06906  0.06891651       TRUE    FALSE
+#> 3 708922.1 6254242     152.06906  0.06891651       TRUE    FALSE
+#> 4 708947.1 6254392      79.05694  0.74022781       TRUE    FALSE
+#> 5 709022.1 6254416      50.00000  0.92414182       TRUE    FALSE
+#> 6 709022.1 6254466      75.00000  0.77729986       TRUE    FALSE
+
+## Demonstration that the depths of sampled cells are correct
+paths_1$cell_z_chk <- raster::extract(dat_dcpf_histories$args$bathy,
+                                      paths_1$cell_id)
+all.equal(paths_1$cell_z, paths_1$cell_z_chk)
+#> [1] TRUE
+
+## Compare depth time series
+# There is a relatively large degree of mismatch here, which reflects
+# ... the low resolution bathymetry data used for the algorithm.
+pf_plot_1d(paths_1, dat_dc$args$archival)
+
+
+## Examine paths
+# Log likelihood
+pf_loglik(paths_1)
+#>    path_id    loglik      delta
+#> 1        4 -145.7709 0.00000000
+#> 2        5 -145.8111 0.04017947
+#> 3        3 -145.8431 0.07217439
+#> 4        2 -145.9346 0.16376265
+#> 5        1 -146.8934 1.12246741
+#> 6       19 -147.6582 1.88729381
+#> 7       24 -147.6644 1.89348096
+#> 8       18 -147.6736 1.90275861
+#> 9       23 -147.6798 1.90894575
+#> 10       9 -147.6820 1.91112531
+#> 11      14 -147.6882 1.91731246
+#> 12       8 -147.6975 1.92659011
+#> 13      13 -147.7037 1.93277725
+#> 14      16 -147.7395 1.96864247
+#> 15      17 -147.7395 1.96864247
+#> 16      21 -147.7457 1.97482962
+#> 17      22 -147.7457 1.97482962
+#> 18       6 -147.7634 1.99247397
+#> 19       7 -147.7634 1.99247397
+#> 20      11 -147.7695 1.99866112
+#> 21      12 -147.7695 1.99866112
+#> 22      20 -151.9751 6.20417920
+#> 23      25 -151.9813 6.21036635
+#> 24      10 -151.9989 6.22801070
+#> 25      15 -152.0051 6.23419785
+# 2-d visualisation
+pf_plot_2d(paths_1, dat_dcpf_histories$args$bathy,
+           add_paths = list(length = 0.05))
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+
+# 3-d visualisation
+pf_plot_3d(paths_1, dat_dcpf_histories$args$bathy)
+#> Defining plot properties...
+#> Producing plot...
+
+#### Example (2): Re-calculate distances as shortest distances
+
+## Implement flapper::pf()
+# For this example, we need to increase the number of particles
+# ... for Euclidean-based sampling to generate viable paths
+# ... when we consider shortest distances
+set.seed(1)
+dcpf_args <- dat_dcpf_histories$args
+dcpf_args$calc_distance_euclid_fast <- TRUE
+dcpf_args$n <- 50
+out_dcpf_2 <- do.call(pf, dcpf_args)
+#> flapper::pf() called (@ 2023-02-19 15:04:03)... 
+#> ... Setting up function... 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Implementing algorithm iteratively over time steps... 
+#> ... ... Time = 1... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 2... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 3... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 4... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 5... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 6... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 7... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 8... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 9... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 10... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 11... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 12... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 13... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 14... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 15... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 16... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 17... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 18... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... flapper::pf() call completed (@ 2023-02-19 15:04:04) after ~0.01 minutes. 
+
+## Implement pf_simplify() using shortest distances
+paths_2 <- pf_simplify(out_dcpf_2, calc_distance = "lcp")
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:04)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'lcp'... 
+#> ... Setting up LCP calculations... 
+#> ... ... Setting up cost-surface for calc_distance = 'lcp'... 
+#> flapper::lcp_costs() called (@ 2023-02-19 15:04:04)... 
+#> ... Defining transition matrices... 
+#> Warning: transition function gives negative values
+#> ... Calculating distance matrices... 
+#> ... Assembling LCP costs... 
+#> ... flapper::lcp_costs() call completed (@ 2023-02-19 15:04:04) after ~0 minutes. 
+#> flapper::lcp_graph_surface() called (@ 2023-02-19 15:04:04)... 
+#> ... Defining nodes, edges and costs to make graph... 
+#> ... Constructing graph object... 
+#> ... flapper::lcp_graph_surface() call completed (@ 2023-02-19 15:04:04) after ~0 minutes. 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... Assembling paths... 
+#> ... Formatting paths... 
+#> ... Adding cell coordinates and depths... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:05) after ~0.02 minutes. 
+# ... Duration: ~ 0.655 s
+system.time(
+  invisible(utils::capture.output(
+    pf_simplify(out_dcpf_2, calc_distance = "lcp")
+    ))
+  )
+#> Warning: transition function gives negative values
+#>    user  system elapsed 
+#>   1.112   0.020   0.952 
+
+## Demonstrate the LCP calculations are correct
+paths_2_lcps <- lcp_interp(paths_2,
+                            out_dcpf_2$args$bathy,
+                            calc_distance = TRUE)
+#> flapper::lcp_interp() called (@ 2023-02-19 15:04:06)... 
+#> ... Setting up function... 
+#> ... Processing paths... 
+#> ... Calculating least-cost paths via flapper::lcp_over_surface()... 
+#> flapper::lcp_over_surface() called (@ 2023-02-19 15:04:06)... 
+#> ... Checking user inputs... 
+#> ... Defining cost matrix... 
+#> Warning: transition function gives negative values
+
+#> ... Using method = 'cppRouting'... 
+#> ... ... Defining nodes, edges and costs to make graph... 
+#> ... ... Constructing graph object... 
+#> ... ... Implementing bi algorithm to compute least-cost paths(s)... 
+#> ... flapper::lcp_over_surface() call completed (@ 2023-02-19 15:04:07) after ~0.01 minutes. 
+#> ... Summarising distances for each least-cost path... 
+#> ... flapper::lcp_interp() call completed (@ 2023-02-19 15:04:07) after ~0.01 minutes. 
+head(cbind(paths_2$dist, paths_2_lcps$dist_lcp$dist))
+#>           [,1] [,2]
+#> [1,]        NA   NA
+#> [2,]  60.38164   NA
+#> [3,] 160.37457   NA
+#> [4,] 135.36632   NA
+#> [5,]  50.00976   NA
+#> [6,] 100.00051   NA
+
+## Trial options for increasing speed of shortest-distance calculations
+# Speed up shortest-distance calculations via (a) the graph:
+# ... Duration: ~0.495 s
+# ... Note that you may achieve further speed improvements via
+# ... a simplified/contracted graph
+# ... ... see cppRouting::cpp_simplify()
+# ... ... see cppRouting::cpp_contract()
+costs <- lcp_costs(out_dcpf_2$args$bathy)
+#> flapper::lcp_costs() called (@ 2023-02-19 15:04:07)... 
+#> ... Defining transition matrices... 
+#> Warning: transition function gives negative values
+#> ... Calculating distance matrices... 
+#> ... Assembling LCP costs... 
+#> ... flapper::lcp_costs() call completed (@ 2023-02-19 15:04:07) after ~0 minutes. 
+graph <- lcp_graph_surface(out_dcpf_2$args$bathy, costs$dist_total)
+#> flapper::lcp_graph_surface() called (@ 2023-02-19 15:04:07)... 
+#> ... Defining nodes, edges and costs to make graph... 
+#> ... Constructing graph object... 
+#> ... flapper::lcp_graph_surface() call completed (@ 2023-02-19 15:04:07) after ~0 minutes. 
+system.time(
+  invisible(utils::capture.output(
+    pf_simplify(out_dcpf_2,
+                calc_distance = "lcp",
+                calc_distance_graph = graph)
+  ))
+)
+#>    user  system elapsed 
+#>   1.014   0.020   0.857 
+# Speed up shortest-distance calculations via (b) the lower Euclid dist limit
+# ... Duration: ~0.493 s
+costs <- lcp_costs(out_dcpf_2$args$bathy)
+#> flapper::lcp_costs() called (@ 2023-02-19 15:04:08)... 
+#> ... Defining transition matrices... 
+#> Warning: transition function gives negative values
+#> ... Calculating distance matrices... 
+#> ... Assembling LCP costs... 
+#> ... flapper::lcp_costs() call completed (@ 2023-02-19 15:04:08) after ~0 minutes. 
+graph <- lcp_graph_surface(out_dcpf_2$args$bathy, costs$dist_total)
+#> flapper::lcp_graph_surface() called (@ 2023-02-19 15:04:08)... 
+#> ... Defining nodes, edges and costs to make graph... 
+#> ... Constructing graph object... 
+#> ... flapper::lcp_graph_surface() call completed (@ 2023-02-19 15:04:08) after ~0 minutes. 
+system.time(
+  invisible(utils::capture.output(
+    pf_simplify(out_dcpf_2,
+                calc_distance = "lcp",
+                calc_distance_graph = graph,
+                calc_distance_limit = 100)
+  ))
+)
+#>    user  system elapsed 
+#>   0.962   0.027   0.844 
+# Speed up shortest-distance calculations via (c) the barrier
+# ... Duration: ~1.411 s (much slower in this example)
+coastline <- sf::st_as_sf(dat_coast)
+sf::st_crs(coastline) <- NA
+system.time(
+  invisible(utils::capture.output(
+    pf_simplify(out_dcpf_2,
+                calc_distance = "lcp",
+                calc_distance_graph = graph,
+                calc_distance_limit = 100,
+                calc_distance_barrier = coastline)
+  ))
+)
+#> Warning: The CRSs of 'bathy' and 'calc_distance_barrier' are not identical.
+#>   -- details: Modes: S4, characterAttributes: < Modes: list, NULL >Attributes: < Lengths: 2, 0 >Attributes: < names for target but not for current >Attributes: < current is not list-like >.
+#>   -- bathy CRS: 'NA'.
+#>   -- calc_distance_barrier CRS: ''.
+#>    user  system elapsed 
+#>   1.148   0.023   1.023 
+# Speed up calculations via (d) mobility limits
+# ... (In the examples above, the mobility parameters
+# ... can be extracted from out_dcpf_2,
+# ... so specifying them directly here in this example makes
+# ... no material difference, but this is not necessarily the case
+# ... if pf() has been implemented without mobility parameters).
+system.time(
+  invisible(utils::capture.output(
+    pf_simplify(out_dcpf_2,
+                calc_distance = "lcp",
+                calc_distance_graph = graph,
+                calc_distance_limit = 100,
+                mobility = 200,
+                mobility_from_origin = 200)
+  ))
+)
+#>    user  system elapsed 
+#>   0.955   0.025   0.836 
+# Speed up calculations via (e) parallelisation
+# ... see the details in the documentation.
+
+#### Example (3): Restrict the number of routes to each cell at each time step
+# Implement approach for different numbers of copies
+# Since we only have sampled a small number of particles for this simulation
+# ... this does not make any difference here, but it can dramatically reduce
+# ... the time taken to assemble paths and prevent vector memory issues.
+paths_3a <- pf_simplify(dat_dcpf_histories, max_n_copies = 1)
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:12)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... Assembling paths... 
+#> ... Formatting paths... 
+#> ... Adding cell coordinates and depths... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:13) after ~0.01 minutes. 
+paths_3b <- pf_simplify(dat_dcpf_histories, max_n_copies = 5)
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:13)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... Assembling paths... 
+#> ... Formatting paths... 
+#> ... Adding cell coordinates and depths... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:14) after ~0.01 minutes. 
+paths_3c <- pf_simplify(dat_dcpf_histories, max_n_copies = 7)
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:14)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... Assembling paths... 
+#> ... Formatting paths... 
+#> ... Adding cell coordinates and depths... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:14) after ~0.01 minutes. 
+# Compare the number of paths retained
+unique(paths_3a$path_id)
+#>  [1]  1  2  3  4  5  6  7  8  9 10
+unique(paths_3b$path_id)
+#>  [1]  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
+#> [26] 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
+unique(paths_3c$path_id)
+#>  [1]  1  2  3  4  5  6  7  8  9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
+#> [26] 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50
+#> [51] 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70
+
+#### Example (4): Change the sampling method used to retain paths
+# Again, this doesn't make a difference here, but it can when there are
+# ... more particles.
+paths_4a <- pf_simplify(dat_dcpf_histories,
+                          max_n_copies = 5,
+                          max_n_copies_sampler = "random")
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:14)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... Assembling paths... 
+#> ... Formatting paths... 
+#> ... Adding cell coordinates and depths... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:15) after ~0.01 minutes. 
+paths_4b <- pf_simplify(dat_dcpf_histories,
+                          max_n_copies = 5,
+                          max_n_copies_sampler = "weighted")
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:15)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... Assembling paths... 
+#> ... Formatting paths... 
+#> ... Adding cell coordinates and depths... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:16) after ~0.01 minutes. 
+paths_4c <- pf_simplify(dat_dcpf_histories,
+                          max_n_copies = 5,
+                          max_n_copies_sampler = "max")
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:16)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... Assembling paths... 
+#> ... Formatting paths... 
+#> ... Adding cell coordinates and depths... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:16) after ~0.01 minutes. 
+# Compare retained paths
+pf_loglik(paths_3a)
+#>    path_id    loglik      delta
+#> 1        1 -145.7709 0.00000000
+#> 2        3 -145.8111 0.04017947
+#> 3        4 -145.8431 0.07217439
+#> 4        5 -145.9346 0.16376265
+#> 5        2 -146.8934 1.12246741
+#> 6        7 -147.6882 1.91731246
+#> 7        8 -147.7037 1.93277725
+#> 8        6 -147.7695 1.99866112
+#> 9        9 -147.7695 1.99866112
+#> 10      10 -152.0051 6.23419785
+pf_loglik(paths_3b)
+#>    path_id    loglik      delta
+#> 1        1 -145.7709 0.00000000
+#> 2        2 -145.7709 0.00000000
+#> 3        3 -145.7709 0.00000000
+#> 4        4 -145.7709 0.00000000
+#> 5        5 -145.7709 0.00000000
+#> 6       11 -145.8111 0.04017947
+#> 7       12 -145.8111 0.04017947
+#> 8       13 -145.8111 0.04017947
+#> 9       14 -145.8111 0.04017947
+#> 10      15 -145.8111 0.04017947
+#> 11      16 -145.8431 0.07217439
+#> 12      17 -145.8431 0.07217439
+#> 13      18 -145.8431 0.07217439
+#> 14      19 -145.8431 0.07217439
+#> 15      20 -145.8431 0.07217439
+#> 16      21 -145.9346 0.16376265
+#> 17      22 -145.9346 0.16376265
+#> 18      23 -145.9346 0.16376265
+#> 19      24 -145.9346 0.16376265
+#> 20      25 -145.9346 0.16376265
+#> 21       6 -146.8934 1.12246741
+#> 22       7 -146.8934 1.12246741
+#> 23       8 -146.8934 1.12246741
+#> 24       9 -146.8934 1.12246741
+#> 25      10 -146.8934 1.12246741
+#> 26      33 -147.6644 1.89348096
+#> 27      38 -147.6798 1.90894575
+#> 28      40 -147.6798 1.90894575
+#> 29      31 -147.6820 1.91112531
+#> 30      32 -147.6820 1.91112531
+#> 31      34 -147.6820 1.91112531
+#> 32      35 -147.6820 1.91112531
+#> 33      36 -147.6975 1.92659011
+#> 34      37 -147.6975 1.92659011
+#> 35      39 -147.6975 1.92659011
+#> 36      29 -147.7457 1.97482962
+#> 37      41 -147.7457 1.97482962
+#> 38      43 -147.7457 1.97482962
+#> 39      26 -147.7634 1.99247397
+#> 40      27 -147.7634 1.99247397
+#> 41      28 -147.7634 1.99247397
+#> 42      30 -147.7634 1.99247397
+#> 43      42 -147.7634 1.99247397
+#> 44      44 -147.7634 1.99247397
+#> 45      45 -147.7634 1.99247397
+#> 46      47 -151.9813 6.21036635
+#> 47      48 -151.9813 6.21036635
+#> 48      49 -151.9813 6.21036635
+#> 49      50 -151.9813 6.21036635
+#> 50      46 -151.9989 6.22801070
+pf_loglik(paths_3c)
+#>    path_id    loglik      delta
+#> 1        1 -145.7709 0.00000000
+#> 2        2 -145.7709 0.00000000
+#> 3        3 -145.7709 0.00000000
+#> 4        4 -145.7709 0.00000000
+#> 5        5 -145.7709 0.00000000
+#> 6        6 -145.7709 0.00000000
+#> 7        7 -145.7709 0.00000000
+#> 8       15 -145.8111 0.04017947
+#> 9       16 -145.8111 0.04017947
+#> 10      17 -145.8111 0.04017947
+#> 11      18 -145.8111 0.04017947
+#> 12      19 -145.8111 0.04017947
+#> 13      20 -145.8111 0.04017947
+#> 14      21 -145.8111 0.04017947
+#> 15      22 -145.8431 0.07217439
+#> 16      23 -145.8431 0.07217439
+#> 17      24 -145.8431 0.07217439
+#> 18      25 -145.8431 0.07217439
+#> 19      26 -145.8431 0.07217439
+#> 20      27 -145.8431 0.07217439
+#> 21      28 -145.8431 0.07217439
+#> 22      29 -145.9346 0.16376265
+#> 23      30 -145.9346 0.16376265
+#> 24      31 -145.9346 0.16376265
+#> 25      32 -145.9346 0.16376265
+#> 26      33 -145.9346 0.16376265
+#> 27      34 -145.9346 0.16376265
+#> 28      35 -145.9346 0.16376265
+#> 29       8 -146.8934 1.12246741
+#> 30       9 -146.8934 1.12246741
+#> 31      10 -146.8934 1.12246741
+#> 32      11 -146.8934 1.12246741
+#> 33      12 -146.8934 1.12246741
+#> 34      13 -146.8934 1.12246741
+#> 35      14 -146.8934 1.12246741
+#> 36      44 -147.6644 1.89348096
+#> 37      45 -147.6644 1.89348096
+#> 38      46 -147.6644 1.89348096
+#> 39      47 -147.6644 1.89348096
+#> 40      56 -147.6798 1.90894575
+#> 41      43 -147.6820 1.91112531
+#> 42      48 -147.6820 1.91112531
+#> 43      49 -147.6820 1.91112531
+#> 44      50 -147.6975 1.92659011
+#> 45      51 -147.6975 1.92659011
+#> 46      52 -147.6975 1.92659011
+#> 47      53 -147.6975 1.92659011
+#> 48      54 -147.6975 1.92659011
+#> 49      55 -147.6975 1.92659011
+#> 50      36 -147.7457 1.97482962
+#> 51      37 -147.7457 1.97482962
+#> 52      38 -147.7457 1.97482962
+#> 53      39 -147.7457 1.97482962
+#> 54      41 -147.7457 1.97482962
+#> 55      42 -147.7457 1.97482962
+#> 56      57 -147.7457 1.97482962
+#> 57      59 -147.7457 1.97482962
+#> 58      40 -147.7634 1.99247397
+#> 59      58 -147.7634 1.99247397
+#> 60      60 -147.7634 1.99247397
+#> 61      61 -147.7634 1.99247397
+#> 62      62 -147.7634 1.99247397
+#> 63      63 -147.7634 1.99247397
+#> 64      67 -151.9813 6.21036635
+#> 65      69 -151.9813 6.21036635
+#> 66      64 -151.9989 6.22801070
+#> 67      65 -151.9989 6.22801070
+#> 68      66 -151.9989 6.22801070
+#> 69      68 -151.9989 6.22801070
+#> 70      70 -151.9989 6.22801070
+
+#### Example (5): Set the maximum number of paths for reconstruction (for speed)
+# Reconstruct all paths (note you may experience vector memory limitations)
+# unique(pf_simplify(dat_dcpf_histories, max_n_paths = NULL)$path_id)
+# Reconstruct one path
+unique(pf_simplify(dat_dcpf_histories, max_n_paths = 1)$path_id)
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:16)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... Assembling paths... 
+#> ... Formatting paths... 
+#> ... Adding cell coordinates and depths... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:17) after ~0 minutes. 
+#> [1] 1
+# Reconstruct (at most) five paths
+unique(pf_simplify(dat_dcpf_histories, max_n_paths = 5)$path_id)
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:17)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... Assembling paths... 
+#> ... Formatting paths... 
+#> ... Adding cell coordinates and depths... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:17) after ~0 minutes. 
+#> [1] 1 2 3 4 5
+
+#### Example (6): Retain/drop the origin, if specified
+# For the example particle histories, an origin was specified
+dat_dcpf_histories$args$origin
+#>          [,1]    [,2]
+#> [1,] 708886.3 6254404
+# This is included as 'timestep = 0' in the returned dataframe
+# ... with the coordinates re-defined on bathy:
+paths_5a <- pf_simplify(dat_dcpf_histories)
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:17)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... Assembling paths... 
+#> ... Formatting paths... 
+#> ... Adding cell coordinates and depths... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:17) after ~0 minutes. 
+paths_5a[1, c("cell_x", "cell_y")]
+#>     cell_x  cell_y
+#> 1 708897.1 6254392
+raster::xyFromCell(dat_dcpf_histories$args$bathy,
+                   raster::cellFromXY(dat_dcpf_histories$args$bathy,
+                                      dat_dcpf_histories$args$origin))
+#>             x       y
+#> [1,] 708897.1 6254392
+head(paths_5a)
+#>   path_id timestep cell_id   cell_x  cell_y   cell_z      cell_pr      dist
+#> 1       1        0    3241 708897.1 6254392 135.0958 1.000000e+00        NA
+#> 2       1        1    3722 708922.1 6254242 134.0199 1.808832e-05 152.06906
+#> 3       1        2    3243 708947.1 6254392 133.6996 1.663445e-05 152.06906
+#> 4       1        3    3166 709022.1 6254416 133.6938 1.569277e-04  79.05694
+#> 5       1        4    3006 709022.1 6254466 134.0630 1.826367e-04  50.00000
+#> 6       1        5    3009 709097.1 6254466 134.9762 1.547789e-04  75.00000
+# If specified, the origin is dropped with add_origin = FALSE
+paths_5b <- pf_simplify(dat_dcpf_histories, add_origin = FALSE)
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:17)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... Assembling paths... 
+#> ... Formatting paths... 
+#> ... Adding cell coordinates and depths... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:17) after ~0 minutes. 
+head(paths_5b)
+#>   path_id timestep cell_id   cell_x  cell_y   cell_z      cell_pr      dist
+#> 1       1        1    3722 708922.1 6254242 134.0199 1.808832e-05 152.06906
+#> 2       1        2    3243 708947.1 6254392 133.6996 1.663445e-05 152.06906
+#> 3       1        3    3166 709022.1 6254416 133.6938 1.569277e-04  79.05694
+#> 4       1        4    3006 709022.1 6254466 134.0630 1.826367e-04  50.00000
+#> 5       1        5    3009 709097.1 6254466 134.9762 1.547789e-04  75.00000
+#> 6       1        6    3329 709097.1 6254366 135.3115 1.049538e-04 100.00000
+
+#### Example (6) Get particle samples for connected particles
+## Implement DCPF with more particles for demonstration purposes
+set.seed(1)
+dcpf_args <- dat_dcpf_histories$args
+dcpf_args$calc_distance_euclid_fast <- TRUE
+dcpf_args$n <- 250
+out_dcpf_6a <- do.call(pf, dcpf_args)
+#> flapper::pf() called (@ 2023-02-19 15:04:17)... 
+#> ... Setting up function... 
+#> ... Determining the set of possible starting locations (t = 1)... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Implementing algorithm iteratively over time steps... 
+#> ... ... Time = 1... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 2... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 3... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 4... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 5... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 6... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 7... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 8... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 9... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 10... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 11... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 12... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 13... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 14... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 15... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 16... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 17... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... ... ... For each particle, getting the possible positions for the next time step... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... ... Time = 18... 
+#> ... ... ... Selecting candidate starting positions for the current time step... 
+#> ... flapper::pf() call completed (@ 2023-02-19 15:04:22) after ~0.08 minutes. 
+head(out_dcpf_6a$history[[1]])
+#>   id_current   pr_current timestep
+#> 1       3243 2.425569e-04        1
+#> 2       2921 1.312336e-04        1
+#> 3       3396 3.947544e-05        1
+#> 4       3159 2.364016e-04        1
+#> 5       3320 2.525012e-04        1
+#> 6       3237 1.312336e-04        1
+## Extract particle samples for connected particles
+# There may be multiple records of any given cell at any given time step
+# ... due to sampling with replacement.
+out_dcpf_6b <- pf_simplify(out_dcpf_6a, return = "archive")
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:22)... 
+#> ... Getting pairwise cell movements based on calc_distance = 'euclid'... 
+#> ... ... Stepping through time steps to join coordinate pairs... 
+#> ... ... Identifying connected cells... 
+#> ... ... Processing connected cells for return = 'archive'... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:23) after ~0.01 minutes. 
+head(out_dcpf_6b$history[[1]])
+#>   timestep id_previous id_current dist_current   pr_current
+#> 1        1        3241       2838     145.7738 2.416378e-05
+#> 2        1        3241       2839     134.6291 3.947544e-05
+#> 3        1        3241       2841     125.0000 5.845148e-05
+#> 4        1        3241       2842     127.4755 5.302119e-05
+#> 5        1        3241       2917     141.4214 2.938080e-05
+#> 6        1        3241       2918     125.0000 5.845148e-05
+table(duplicated(out_dcpf_6b$history[[1]]$id_current))
+#> 
+#> FALSE 
+#>    90 
+## Extract particle samples for connected particles,
+# ... with only the most likely record of each particle returned.
+# We can implement the approach using out_dcpf_6b
+# ... to skip distance calculations.
+# Now, there is only one (the most likely) record of sampled cells
+# ... at each time step.
+out_dcpf_6c <- pf_simplify(out_dcpf_6b,
+                           summarise_pr = TRUE,
+                           return = "archive")
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:23)... 
+#> ... ... Processing connected cells for return = 'archive'... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:23) after ~0.01 minutes. 
+head(out_dcpf_6c$history[[1]])
+#>   timestep id_previous id_current dist_current  pr_current
+#> 1        1        3241       2838     145.7738 0.002078627
+#> 2        1        3241       2839     134.6291 0.003395774
+#> 3        1        3241       2841     125.0000 0.005028139
+#> 4        1        3241       2842     127.4755 0.004561012
+#> 5        1        3241       2917     141.4214 0.002527408
+#> 6        1        3241       2918     125.0000 0.005028139
+table(duplicated(out_dcpf_6c$history[[1]]$id_current))
+#> 
+#> FALSE 
+#>    90 
+## Make movement paths
+# Again, we use out_dcpf_6b to skip distance calculations.
+out_dcpf_6d <- pf_simplify(out_dcpf_6b,
+                           max_n_copies = 2L,
+                           return = "path")
+#> flapper::pf_simplify() called (@ 2023-02-19 15:04:23)... 
+#> ... Assembling paths... 
+#> ... Formatting paths... 
+#> ... Adding cell coordinates and depths... 
+#> ... flapper::pf_simplify() call completed (@ 2023-02-19 15:04:31) after ~0.13 minutes. 
+## Compare resultant maps
+# The map for all particles is influenced by particles that were 'dead ends',
+# ... which isn't ideal for a map of space use.
+# The map for connected samples deals with this problem, but is influenced by
+# ... the total number of samples of each cell, rather than the number of time steps
+# ... in which the individual could have been located in a given cell.
+# The map for unique, connected samples deals with this issue, so that scores
+# ... represent the number of time steps in which the individual could have occupied
+# ... a given cell, over the length of the time series.
+# The map for the paths are sparser because paths have only been reconstructed
+# ... for a sample of sampled particles.
+pp <- par(mfrow = c(2, 2), oma = c(2, 2, 2, 2), mar = c(2, 4, 2, 4))
+paa <- list(side = 1:4, axis = list(labels = FALSE))
+transform = NULL
+m_1 <- pf_plot_map(out_dcpf_6a, dcpf_args$bathy,
+                   transform = transform,
+                   pretty_axis_args = paa, main = "all samples")
+#> Warning: xpf$history[[1]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[2]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[3]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[4]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[5]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[6]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[7]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[8]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[9]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[10]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[11]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[12]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[13]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[14]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[15]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[16]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[17]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> Warning: xpf$history[[18]] contains duplicate cells. Implementing pf_simplify() with 'summarise_pr = TRUE' and return = 'archive' specified first is advised.
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+m_2 <- pf_plot_map(out_dcpf_6b, dcpf_args$bathy,
+                   transform = transform,
+                   pretty_axis_args = paa, main = "connected samples")
+#> Warning: xpf$history[[2]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[3]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[4]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[5]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[6]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[7]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[8]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[9]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[10]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[11]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[12]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[13]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[14]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[15]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[16]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[17]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> Warning: xpf$history[[18]] contains duplicate cells. Did you implement pf_simplify() without 'summarise_pr = TRUE'?
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+m_3 <- pf_plot_map(out_dcpf_6c, dcpf_args$bathy,
+                   transform = transform,
+                   pretty_axis_args = paa, main = "unique, connected samples")
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+m_4 <- pf_plot_map(out_dcpf_6d, dcpf_args$bathy,
+                   transform = transform,
+                   pretty_axis_args = paa, main = "paths")
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+par(pp)
+# Note that all locations in reconstructed paths are derived from PF samples
+all(out_dcpf_6d$cell_id[out_dcpf_6d$timestep != 0] %in%
+      do.call(rbind, out_dcpf_6c$history)$id_current)
+#> [1] TRUE
+# But the paths only contain a subset of sampled particles
+h_6a <- lapply(out_dcpf_6a$history, function(elm) elm[, "id_current"])
+table(unique(unlist(h_6a)) %in% out_dcpf_6d$cell_id[out_dcpf_6d$timestep != 0])
+#> 
+#> FALSE  TRUE 
+#>  1629   312 
+h_6b <- lapply(out_dcpf_6b$history, function(elm) elm[, "id_current"])
+table(unique(unlist(h_6b)) %in% out_dcpf_6d$cell_id[out_dcpf_6d$timestep != 0])
+#> 
+#> FALSE  TRUE 
+#>  1312   312 
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/pipe.html b/docs/reference/pipe.html index 8a569c3..9183b66 100644 --- a/docs/reference/pipe.html +++ b/docs/reference/pipe.html @@ -1,67 +1,12 @@ - - - - - - - -Pipe operator — %>% • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Pipe operator — %>% • flapper - - + + - - -
    -
    - -
    - -
    +

    Pipe operator

    - Source: R/utils.R + Source: R/utils.R
    @@ -123,35 +65,32 @@

    Pipe operator

    See magrittr::%>% for details.

    - 
    lhs %>% rhs
    - +
    + 
    lhs %>% rhs
    +
    +
    - - - + + diff --git a/docs/reference/process_false_detections_sf.html b/docs/reference/process_false_detections_sf.html index 3add01f..1565620 100644 --- a/docs/reference/process_false_detections_sf.html +++ b/docs/reference/process_false_detections_sf.html @@ -1,68 +1,13 @@ - - - - - - - -Pass putative false detections through a spatial filter — process_false_detections_sf • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Pass putative false detections through a spatial filter — process_false_detections_sf • flapper - - + + - - -
    -
    - -
    - -
    +

    Pass putative false detections through a spatial filter

    - Source: R/processing.R + Source: R/processing.R
    -

    The identification of false detections in acoustic telemetry data is an important aspect of processing and/or modelling these data. False detections can be identified using the short interval criterion, whereby any detection of an individual at a receiver which is not accompanied by other detections at the same receiver in a specified time window (depending on the nominal acoustic transmission delay) are flagged. This approach can be implemented using the false_detections function in the glatos package. Flag detections can then be examined, or passed through other filters, to examine their plausibility.

    -

    This function passes false detections flagged by false_detections through a spatial filter. The key idea is that detections at nearby receivers within a defined time window may, in fact, be plausible. To implement this approach, the user must define a dataframe comprising detections, a temporal threshold, a spatial threshold and a dataframe of distances between receivers. The function examines whether any putative false detections are accompanied by additional detections at other receivers within a user-defined time window and Euclidean distance of that receiver. If so, these could be explained by an individual that dips in-and-out of the detection ranges of receivers (e.g. in a sparse acoustic array) and may not, in fact, be false.

    +

    The identification of false detections in acoustic telemetry data is an important aspect of processing and/or modelling these data. False detections can be identified using the short interval criterion, whereby any detection of an individual at a receiver which is not accompanied by other detections at the same receiver in a specified time window (depending on the nominal acoustic transmission delay) are flagged. This approach can be implemented using the false_detections function in the glatos package. Flag detections can then be examined, or passed through other filters, to examine their plausibility.

    +

    This function passes false detections flagged by false_detections through a spatial filter. The key idea is that detections at nearby receivers within a defined time window may, in fact, be plausible. To implement this approach, the user must define a dataframe comprising detections, a temporal threshold, a spatial threshold and a dataframe of distances between receivers. The function examines whether any putative false detections are accompanied by additional detections at other receivers within a user-defined time window and Euclidean distance of that receiver. If so, these could be explained by an individual that dips in-and-out of the detection ranges of receivers (e.g. in a sparse acoustic array) and may not, in fact, be false.

    +
    + +
    + 
    process_false_detections_sf(det, tf, sf, dist_btw_receivers)
    - 
    process_false_detections_sf(det, tf, sf, dist_btw_receivers)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - -
    det

    A dataframe containing detection time series. Following false_detections, this should contain the following columns: `detection_timestamp_utc', `transmitter_codespace', `transmitter_id' and `receiver_sn', as well as `passed_filter' (see false_detections).

    tf

    A number that defines the time threshold (s) used to flag false detections (see false_detections).

    sf

    A number that defines the threshold Euclidean distance between receivers beyond which, even if a false detection is accompanied by detections at other receivers, it is likely to be a true false detection, because the individual could not have moved between receivers separated by more than this threshold over the specified time interval. sf should be defined in the same units as the distances provided in dist_btw_receivers (see below).

    dist_btw_receivers

    A dataframe that defines the distances between receiver pairs. This should contain the columns: `r1', `r2' and `dist', whereby `r1' and `r2' contain the unique receiver serial number for all combinations of receivers and `dist' contains the distance between them. This dataframe should include duplicate combinations (e.g., both r1 = 1 and r2 = 2 and r1 = 2 and r2 = 1). This can be created with dist_btw_receivers.

    - -

    Value

    - -

    The function returns a vector, of the same length as det with three possible values: NA, which identifies detections which have not been flagged as false detections (i.e., passed_filter = 0, see false_detections) and are therefore not passed through the spatial filter; 1, which identifies detections which `passed' the spatial filter (i.e., false detections which are accompanied by detections at nearby receivers within the defined spatial and temporal thresholds); or 0, which defines detections which `failed' the spatial filter (i.e., false detections which are not accompanied by detections at nearby receivers within the defined spatial and temporal thresholds). This vector has one attribute, `details', a dataframe with the same number of rows as det with the following columns: `passed_filter_sf', `n_wn_sf', `detection_timestamp_utc_sf' and `receiver_sn_sf'. `passed_filter_sf' takes a value of NA, 0 or 1 depending on whether or not the detection was flagged as a false detection (if not, NA) and whether each false detection passed the spatial filter (no, 0; yes, 1). If the detection did pass the spatial filter, `n_wn_sf' provides the number of detections at nearby receivers within tf and sf; and `detection_timestamp_utc_sf', `receiver_sn_sf' and `dist_sf' define the timestamp of the detection at the nearest receiver, the receiver at which the detection was made and the distance between the two receivers respectively.

    -

    Details

    +
    +

    Arguments

    +
    det
    +

    A dataframe containing detection time series. Following false_detections, this should contain the following columns: `detection_timestamp_utc', `transmitter_codespace', `transmitter_id' and `receiver_sn', as well as `passed_filter' (see false_detections).

    -

    There are limitations with the application of this spatial filter to false detections. First, the spatial threshold beyond which false detections are likely to be false is based on Euclidean distances at present. These may be problematic (e.g. when receivers hug complex coastlines). Second, for small arrays, fast-swimming organisms and/or a large nominal transmission delay (i.e., time threshold), the spatial filter is a poor filter because individuals can access the whole area over the whole time interval.

    -

    Author

    +
    tf
    +

    A number that defines the time threshold (s) used to flag false detections (see false_detections).

    + + +
    sf
    +

    A number that defines the threshold Euclidean distance between receivers beyond which, even if a false detection is accompanied by detections at other receivers, it is likely to be a true false detection, because the individual could not have moved between receivers separated by more than this threshold over the specified time interval. sf should be defined in the same units as the distances provided in dist_btw_receivers (see below).

    + + +
    dist_btw_receivers
    +

    A dataframe that defines the distances between receiver pairs. This should contain the columns: `r1', `r2' and `dist', whereby `r1' and `r2' contain the unique receiver serial number for all combinations of receivers and `dist' contains the distance between them. This dataframe should include duplicate combinations (e.g., both r1 = 1 and r2 = 2 and r1 = 2 and r2 = 1). This can be created with dist_btw_receivers.

    + +
    +
    +

    Value

    + + +

    The function returns a vector, of the same length as det with three possible values: NA, which identifies detections which have not been flagged as false detections (i.e., passed_filter = 0, see false_detections) and are therefore not passed through the spatial filter; 1, which identifies detections which `passed' the spatial filter (i.e., false detections which are accompanied by detections at nearby receivers within the defined spatial and temporal thresholds); or 0, which defines detections which `failed' the spatial filter (i.e., false detections which are not accompanied by detections at nearby receivers within the defined spatial and temporal thresholds). This vector has one attribute, `details', a dataframe with the same number of rows as det with the following columns: `passed_filter_sf', `n_wn_sf', `detection_timestamp_utc_sf' and `receiver_sn_sf'. `passed_filter_sf' takes a value of NA, 0 or 1 depending on whether or not the detection was flagged as a false detection (if not, NA) and whether each false detection passed the spatial filter (no, 0; yes, 1). If the detection did pass the spatial filter, `n_wn_sf' provides the number of detections at nearby receivers within tf and sf; and `detection_timestamp_utc_sf', `receiver_sn_sf' and `dist_sf' define the timestamp of the detection at the nearest receiver, the receiver at which the detection was made and the distance between the two receivers respectively.

    +
    +
    +

    Details

    +

    There are limitations with the application of this spatial filter to false detections. First, the spatial threshold beyond which false detections are likely to be false is based on Euclidean distances at present. These may be problematic (e.g. when receivers hug complex coastlines). Second, for small arrays, fast-swimming organisms and/or a large nominal transmission delay (i.e., time threshold), the spatial filter is a poor filter because individuals can access the whole area over the whole time interval.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Add some false detections for demonstration purposes
-# Add three rows to dat_acoustics which, below, we'll make 'false detections'
-dat_acoustics_with_false_det <-
-  rbind(dat_acoustics, dat_acoustics[rep(nrow(dat_acoustics), 3), ])
-pos_false <- (nrow(dat_acoustics_with_false_det) - 2):nrow(dat_acoustics_with_false_det)
-# Add an isolated detection accompanied by a detection at a nearby receiver
-dat_acoustics_with_false_det$timestamp[pos_false[1:2]] <-
-  dat_acoustics_with_false_det$timestamp[pos_false[1:2]] + 60*60*60
-dat_acoustics_with_false_det$receiver_id[pos_false[2]] <- 33
-# Add an isolated detection not accompanied by a detection at a nearby receiver
-dat_acoustics_with_false_det$timestamp[pos_false[3]] <-
-  dat_acoustics_with_false_det$timestamp[pos_false[3]] + 60*60*60*2
-
-#### Define necessary columns to compute false detections using glatos::false_detections()
-dat_acoustics_with_false_det$detection_timestamp_utc <-
-  dat_acoustics_with_false_det$timestamp
-dat_acoustics_with_false_det$transmitter_codespace <-
-  substr(dat_acoustics_with_false_det$transmitter_id, 1, 8)
-dat_acoustics_with_false_det$transmitter_id <-
-  substr(dat_acoustics_with_false_det$transmitter_id, 10, 13)
-dat_acoustics_with_false_det$receiver_sn <- dat_acoustics_with_false_det$receiver_id
-det <- dat_acoustics_with_false_det[, c("detection_timestamp_utc",
-                                        "transmitter_codespace",
-                                        "transmitter_id",
-                                        "receiver_sn")]
-
-#### Compute false detections
-# 3 false detections returned, as expected:
-det <- glatos::false_detections(det, tf = 3600)
-
    #> The filter identified 23 (0.06%) of 39245 detections as potentially false.
    tail(det$passed_filter)
-
    #> [1] 1 1 0 0 0 0
    
-#### Pass false detections through a spatial filter
-# distances between receivers are required
-dist_btw_receivers_km <-
-  dist_btw_receivers(dat_moorings[, c("receiver_id", "receiver_long", "receiver_lat")])
-# Implement spatial filter.
-# Note the function returns a vector, unlike glatos::false_detections():
-det$passed_filter_sf <- process_false_detections_sf(det,
-                                            tf = 3600,
-                                            sf = 0.5,
-                                            dist_btw_receivers = dist_btw_receivers_km)
-
    #> The spatial filter retained 21 detections, out of 23 previously identified false detections  (91.3 %) as 'true' false detections.
    # Only the last observation failed the spatial filter, as expected:
-tail(det$passed_filter_sf)
-
    #> [1] NA NA  0  1  1  0
    # Additional information is available from the attributes dataframe:
-tail(attr(det$passed_filter_sf, "details"))
-
    #>       passed_filter_sf n_wn_sf receiver_sn_sf detection_timestamp_utc_sf
-#> 39240               NA      NA             NA                       <NA>
-#> 39241               NA      NA             NA                       <NA>
-#> 39242                0      NA             NA                       <NA>
-#> 39243                1       1             33        2017-04-22 12:22:00
-#> 39244                1       1             48        2017-04-22 12:22:00
-#> 39245                0      NA             NA                       <NA>
-#>         dist_sf
-#> 39240        NA
-#> 39241        NA
-#> 39242        NA
-#> 39243 0.3400774
-#> 39244 0.3400774
-#> 39245        NA
    
-
-
    +
    +

    Examples

    + 
    #### Add some false detections for demonstration purposes
+# Add three rows to dat_acoustics which, below, we'll make 'false detections'
+dat_acoustics_with_false_det <-
+  rbind(dat_acoustics, dat_acoustics[rep(nrow(dat_acoustics), 3), ])
+pos_false <- (nrow(dat_acoustics_with_false_det) - 2):nrow(dat_acoustics_with_false_det)
+# Add an isolated detection accompanied by a detection at a nearby receiver
+dat_acoustics_with_false_det$timestamp[pos_false[1:2]] <-
+  dat_acoustics_with_false_det$timestamp[pos_false[1:2]] + 60*60*60
+dat_acoustics_with_false_det$receiver_id[pos_false[2]] <- 33
+# Add an isolated detection not accompanied by a detection at a nearby receiver
+dat_acoustics_with_false_det$timestamp[pos_false[3]] <-
+  dat_acoustics_with_false_det$timestamp[pos_false[3]] + 60*60*60*2
+
+#### Define necessary columns to compute false detections using glatos::false_detections()
+dat_acoustics_with_false_det$detection_timestamp_utc <-
+  dat_acoustics_with_false_det$timestamp
+dat_acoustics_with_false_det$transmitter_codespace <-
+  substr(dat_acoustics_with_false_det$transmitter_id, 1, 8)
+dat_acoustics_with_false_det$transmitter_id <-
+  substr(dat_acoustics_with_false_det$transmitter_id, 10, 13)
+dat_acoustics_with_false_det$receiver_sn <- dat_acoustics_with_false_det$receiver_id
+det <- dat_acoustics_with_false_det[, c("detection_timestamp_utc",
+                                        "transmitter_codespace",
+                                        "transmitter_id",
+                                        "receiver_sn")]
+
+#### Compute false detections
+# 3 false detections returned, as expected:
+det <- glatos::false_detections(det, tf = 3600)
+#> The filter identified 23 (0.06%) of 39245 detections as potentially false.
+tail(det$passed_filter)
+#> [1] 1 1 0 0 0 0
+
+#### Pass false detections through a spatial filter
+# distances between receivers are required
+dist_btw_receivers_km <-
+  dist_btw_receivers(dat_moorings[, c("receiver_id", "receiver_long", "receiver_lat")])
+# Implement spatial filter.
+# Note the function returns a vector, unlike glatos::false_detections():
+det$passed_filter_sf <- process_false_detections_sf(det,
+                                            tf = 3600,
+                                            sf = 0.5,
+                                            dist_btw_receivers = dist_btw_receivers_km)
+#> The spatial filter retained 21 detections, out of 23 previously identified false detections  (91.3 %) as 'true' false detections.
+# Only the last observation failed the spatial filter, as expected:
+tail(det$passed_filter_sf)
+#> [1] NA NA  0  1  1  0
+# Additional information is available from the attributes dataframe:
+tail(attr(det$passed_filter_sf, "details"))
+#>       passed_filter_sf n_wn_sf receiver_sn_sf detection_timestamp_utc_sf
+#> 39240               NA      NA             NA                       <NA>
+#> 39241               NA      NA             NA                       <NA>
+#> 39242                0      NA             NA                       <NA>
+#> 39243                1       1             33        2017-04-22 13:22:00
+#> 39244                1       1             48        2017-04-22 13:22:00
+#> 39245                0      NA             NA                       <NA>
+#>         dist_sf
+#> 39240        NA
+#> 39241        NA
+#> 39242        NA
+#> 39243 0.3400774
+#> 39244 0.3400774
+#> 39245        NA
+
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/process_quality_check.html b/docs/reference/process_quality_check.html index bae5b1c..2ee1a8d 100644 --- a/docs/reference/process_quality_check.html +++ b/docs/reference/process_quality_check.html @@ -1,67 +1,12 @@ - - - - - - - -Basic quality checks of passive acoustic telemetry datasets — process_quality_check • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Basic quality checks of passive acoustic telemetry datasets — process_quality_check • flapper - - + + - - -
    -
    - -
    - -
    +

    Basic quality checks of passive acoustic telemetry datasets

    - Source: R/processing.R + Source: R/processing.R
    @@ -123,143 +65,153 @@

    Basic quality checks of passive acoustic telemetry datasets

    This function passes through passive acoustic telemetry datasets through some basic quality checks (see Details). Following data processing, these provide a useful `final check' prior to analysis.

    - 
    process_quality_check(acoustics, moorings, ids)
    +
    + 
    process_quality_check(acoustics, moorings, ids)
    +
    + +
    +

    Arguments

    +
    acoustics
    +

    A dataframe which comprises passive acoustic telemetry detection time series. This must contain the following named columns: `timestamp', a POSIXct vector which defines the time of each detection; `receiver_id', a unique identifier of each receiver; and `individual_id', a unique identifier of each individual (see dat_acoustics for an example).

    -

    Arguments

    - - - - - - - - - - - - - - -
    acoustics

    A dataframe which comprises passive acoustic telemetry detection time series. This must contain the following named columns: `timestamp', a POSIXct vector which defines the time of each detection; `receiver_id', a unique identifier of each receiver; and `individual_id', a unique identifier of each individual (see dat_acoustics for an example).

    moorings

    A dataframe which contains passive acoustic telemetry receiver metadata. This must contain the following named columns: `receiver_id', a unique identifier for each receiver deployment; `receiver_start_date', a POSIXct vector which defines the time of each receiver's deployment; and `receiver_end_date', a POSIXct vector which defines the end of each receiver's deployment (see dat_moorings for an example). If objects of class Date are provided for `receiver_start_date' and `receiver_end_date', these are coerced to POSIXct objects with a warning.

    ids

    A dataframe which contains the passive acoustic telemetry individual metadata. This must contain the following named columns: `individual_id', a unique identifier for each individual; `tag_start_date', a POSIXct vector which defines the time of each tag's deployment; and `tag_end_date', a POSIXct vector which defines the end of each tag's deployment (see dat_ids for an example). If objects of class Date are provided for `tag_start_date' and `tag_end_date', these are coerced to POSIXct objects with a warning.

    -

    Value

    +
    moorings
    +

    A dataframe which contains passive acoustic telemetry receiver metadata. This must contain the following named columns: `receiver_id', a unique identifier for each receiver deployment; `receiver_start_date', a POSIXct vector which defines the time of each receiver's deployment; and `receiver_end_date', a POSIXct vector which defines the end of each receiver's deployment (see dat_moorings for an example). If objects of class Date are provided for `receiver_start_date' and `receiver_end_date', these are coerced to POSIXct objects with a warning.

    -

    For each check, the function returns a message or a warning with relevant details.

    -

    Details

    -

    The function implements the following checks:

      -

    1. Valid receivers. acoustics should only contain receivers recorded in moorings; other receivers may be included in centralised databases (e.g., from other projects) and often need to be removed.

      2. +
      ids
      +

      A dataframe which contains the passive acoustic telemetry individual metadata. This must contain the following named columns: `individual_id', a unique identifier for each individual; `tag_start_date', a POSIXct vector which defines the time of each tag's deployment; and `tag_end_date', a POSIXct vector which defines the end of each tag's deployment (see dat_ids for an example). If objects of class Date are provided for `tag_start_date' and `tag_end_date', these are coerced to POSIXct objects with a warning.

      + +
    +
    +

    Value

    + + +

    For each check, the function returns a message or a warning with relevant details.

    +
    +
    +

    Details

    +

    The function implements the following checks:

    1. Valid receivers. acoustics should only contain receivers recorded in moorings; other receivers may be included in centralised databases (e.g., from other projects) and often need to be removed.

    2. Valid detections (at receivers). Observations at receivers should occur during their deployment windows; other observations may be included in centralised databases due to receiver checks, range testing or re-deployment elsewhere.

    3. Valid tags. acoustics is checked for any unknown tag IDs. These may be due unrecorded use of tags for receiver checking or range testing, other tagging programmes or type A false detections.

    4. Valid detections (of tags). As for detections at receivers, all detections of tags should occur during their deployment windows.

    5. False detections. False detections should be flagged.

      6. -
    - -

    process_quality_check is mainly designed to be implemented after data-processing has already taken place as a basic `final check' for common issues in passive acoustic telemetry datasets. For each check, the function returns a message or warning depending on the outcome; subsequently, the most appropriate course of action (e.g., retention versus removal of flagged observations in acoustics will depend on the context). Other important checks -- such as checking for receivers which were lost and later recovered, excluding observations during receiver servicing dates, excluding observations during tag capture events and further investigation of false detections -- may be required.

    -

    Author

    - +

    process_quality_check is mainly designed to be implemented after data-processing has already taken place as a basic `final check' for common issues in passive acoustic telemetry datasets. For each check, the function returns a message or warning depending on the outcome; subsequently, the most appropriate course of action (e.g., retention versus removal of flagged observations in acoustics will depend on the context). Other important checks -- such as checking for receivers which were lost and later recovered, excluding observations during receiver servicing dates, excluding observations during tag capture events and further investigation of false detections -- may be required.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Prepare data
-## All data have previously passed false detection filters (see glatos::false_detections())
-dat_acoustics$passed_filter <- 1
-## Times should be in POSIXct format
-dat_moorings$receiver_start_date <-  as.POSIXct(dat_moorings$receiver_start_date)
-lubridate::tz(dat_moorings$receiver_start_date) <- "UTC"
-dat_moorings$receiver_end_date   <-  as.POSIXct(dat_moorings$receiver_end_date)
-lubridate::tz(dat_moorings$receiver_end_date) <- "UTC"
-dat_ids$tag_start_date <- as.POSIXct(dat_ids$tag_start_date)
-lubridate::tz(dat_ids$tag_start_date) <- "UTC"
-## tag_end_date column needed in dat_ids
-dat_ids$tag_end_date   <- as.POSIXct("2020-01-01", tz = "UTC")
-
-#### Implement process_quality_check() on processed data as a final check for any issues
-process_quality_check(dat_acoustics, dat_moorings, dat_ids)
-
    #> Check 1 (receiver identity): passed. 
    #> Check 2 (receiver deployment windows): passed. 
    #> Check 3 (tag identity): passed. 
    #> Check 4 (tag deployment windows): passed. 
    #> Check 5 (false detections) passed: acoustics$passed_filter does not contain false detections. 
    
-#### Add erroneous data to acoustics for demonstrating process_quality_check()
-## Define a convenience function to add erroneous data to
-# ... acoustics to demonstrate process_quality_check()
-add_erroneous_row <- function(acoustics, row = nrow(acoustics), col, val){
-  tmp_ls <- lapply(val, function(v){
-    tmp <- acoustics[row, ]
-    tmp[1, col] <- v
-    return(tmp)
-  })
-  tmp <- dplyr::bind_rows(tmp_ls)
-  acoustics <- rbind(acoustics, tmp)
-  return(acoustics)
-}
-## Add erroneous receiver ids
-nrw <- nrow(dat_acoustics)
-acoustics_wth_errors <- add_erroneous_row(dat_acoustics,
-                                          row = nrw,
-                                          col = "receiver_id",
-                                          val = c(100, 200, 300))
-## Add erroneous time stamps (outside receiver/individual id deployment periods )
-acoustics_wth_errors <- add_erroneous_row(acoustics_wth_errors,
-                                         row = nrw,
-                                          col = "timestamp",
-                                          val = as.POSIXct(c("2019-01-01", "2019-03-01"),
-                                                           tz = "UTC"))
-## Add erroneous individual ids
-acoustics_wth_errors <- add_erroneous_row(acoustics_wth_errors,
-                                          row = nrw,
-                                          col = "individual_id",
-                                          val = c(100, 200, 300))
-## Examine erroneous data:
-utils::tail(acoustics_wth_errors, 10)
-
    #>       individual_id transmitter_id index           timestamp receiver_id
-#> 39241            35   A69-1303-540 19903 2017-04-12 22:12:00          57
-#> 39242            35   A69-1303-540 19904 2017-04-19 23:22:00          48
-#> 39243            35   A69-1303-540 19904 2017-04-19 23:22:00         100
-#> 39244            35   A69-1303-540 19904 2017-04-19 23:22:00         200
-#> 39245            35   A69-1303-540 19904 2017-04-19 23:22:00         300
-#> 39246            35   A69-1303-540 19904 2019-01-01 00:00:00          48
-#> 39247            35   A69-1303-540 19904 2019-03-01 00:00:00          48
-#> 39248           100   A69-1303-540 19904 2017-04-19 23:22:00          48
-#> 39249           200   A69-1303-540 19904 2017-04-19 23:22:00          48
-#> 39250           300   A69-1303-540 19904 2017-04-19 23:22:00          48
-#>           receiver receiver_long receiver_lat receiver_depth passed_filter
-#> 39241 VR2AR-546585     -5.623995     56.37436             75             1
-#> 39242 VR2AR-546134     -5.643867     56.38278            145             1
-#> 39243 VR2AR-546134     -5.643867     56.38278            145             1
-#> 39244 VR2AR-546134     -5.643867     56.38278            145             1
-#> 39245 VR2AR-546134     -5.643867     56.38278            145             1
-#> 39246 VR2AR-546134     -5.643867     56.38278            145             1
-#> 39247 VR2AR-546134     -5.643867     56.38278            145             1
-#> 39248 VR2AR-546134     -5.643867     56.38278            145             1
-#> 39249 VR2AR-546134     -5.643867     56.38278            145             1
-#> 39250 VR2AR-546134     -5.643867     56.38278            145             1
    
-#### Implement process_quality_check()
-process_quality_check(acoustics_wth_errors, dat_moorings, dat_ids)
-
    #> Warning: Check 1 (receiver identity): failed. 3 receiver identities unknown (100, 200, 300), corresponding to 3 observations in acoustics. 
    #> Warning: Check 3 (receiver deployment windows): failed. 2 observations in acoustics outside of receiver deployment windows. 
    #> Warning: Check 3 (tag identity): failed. 3 tag identities unknown (100, 200, 300), corresponding to 3 observations in acoustics. 
    #> Check 4 (tag deployment windows): passed. 
    #> Check 5 (false detections) passed: acoustics$passed_filter does not contain false detections. 
    
-
    +
    +

    Examples

    + 
    #### Prepare data
+## All data have previously passed false detection filters (see glatos::false_detections())
+dat_acoustics$passed_filter <- 1
+## Times should be in POSIXct format
+dat_moorings$receiver_start_date <-  as.POSIXct(dat_moorings$receiver_start_date)
+lubridate::tz(dat_moorings$receiver_start_date) <- "UTC"
+dat_moorings$receiver_end_date   <-  as.POSIXct(dat_moorings$receiver_end_date)
+lubridate::tz(dat_moorings$receiver_end_date) <- "UTC"
+dat_ids$tag_start_date <- as.POSIXct(dat_ids$tag_start_date)
+lubridate::tz(dat_ids$tag_start_date) <- "UTC"
+## tag_end_date column needed in dat_ids
+dat_ids$tag_end_date   <- as.POSIXct("2020-01-01", tz = "UTC")
+
+#### Implement process_quality_check() on processed data as a final check for any issues
+process_quality_check(dat_acoustics, dat_moorings, dat_ids)
+#> Check 1 (receiver identity): passed. 
+#> Check 2 (receiver deployment windows): passed. 
+#> Check 3 (tag identity): passed. 
+#> Check 4 (tag deployment windows): passed. 
+#> Check 5 (false detections) passed: acoustics$passed_filter does not contain false detections. 
+
+#### Add erroneous data to acoustics for demonstrating process_quality_check()
+## Define a convenience function to add erroneous data to
+# ... acoustics to demonstrate process_quality_check()
+add_erroneous_row <- function(acoustics, row = nrow(acoustics), col, val){
+  tmp_ls <- lapply(val, function(v){
+    tmp <- acoustics[row, ]
+    tmp[1, col] <- v
+    return(tmp)
+  })
+  tmp <- dplyr::bind_rows(tmp_ls)
+  acoustics <- rbind(acoustics, tmp)
+  return(acoustics)
+}
+## Add erroneous receiver ids
+nrw <- nrow(dat_acoustics)
+acoustics_wth_errors <- add_erroneous_row(dat_acoustics,
+                                          row = nrw,
+                                          col = "receiver_id",
+                                          val = c(100, 200, 300))
+## Add erroneous time stamps (outside receiver/individual id deployment periods )
+acoustics_wth_errors <- add_erroneous_row(acoustics_wth_errors,
+                                         row = nrw,
+                                          col = "timestamp",
+                                          val = as.POSIXct(c("2019-01-01", "2019-03-01"),
+                                                           tz = "UTC"))
+## Add erroneous individual ids
+acoustics_wth_errors <- add_erroneous_row(acoustics_wth_errors,
+                                          row = nrw,
+                                          col = "individual_id",
+                                          val = c(100, 200, 300))
+## Examine erroneous data:
+utils::tail(acoustics_wth_errors, 10)
+#>       individual_id transmitter_id index           timestamp receiver_id
+#> 39241            35   A69-1303-540 19903 2017-04-12 22:12:00          57
+#> 39242            35   A69-1303-540 19904 2017-04-19 23:22:00          48
+#> 39243            35   A69-1303-540 19904 2017-04-19 23:22:00         100
+#> 39244            35   A69-1303-540 19904 2017-04-19 23:22:00         200
+#> 39245            35   A69-1303-540 19904 2017-04-19 23:22:00         300
+#> 39246            35   A69-1303-540 19904 2019-01-01 00:00:00          48
+#> 39247            35   A69-1303-540 19904 2019-03-01 00:00:00          48
+#> 39248           100   A69-1303-540 19904 2017-04-19 23:22:00          48
+#> 39249           200   A69-1303-540 19904 2017-04-19 23:22:00          48
+#> 39250           300   A69-1303-540 19904 2017-04-19 23:22:00          48
+#>           receiver receiver_long receiver_lat receiver_depth passed_filter
+#> 39241 VR2AR-546585     -5.623995     56.37436             75             1
+#> 39242 VR2AR-546134     -5.643867     56.38278            145             1
+#> 39243 VR2AR-546134     -5.643867     56.38278            145             1
+#> 39244 VR2AR-546134     -5.643867     56.38278            145             1
+#> 39245 VR2AR-546134     -5.643867     56.38278            145             1
+#> 39246 VR2AR-546134     -5.643867     56.38278            145             1
+#> 39247 VR2AR-546134     -5.643867     56.38278            145             1
+#> 39248 VR2AR-546134     -5.643867     56.38278            145             1
+#> 39249 VR2AR-546134     -5.643867     56.38278            145             1
+#> 39250 VR2AR-546134     -5.643867     56.38278            145             1
+
+#### Implement process_quality_check()
+process_quality_check(acoustics_wth_errors, dat_moorings, dat_ids)
+#> Warning: Check 1 (receiver identity): failed. 3 receiver identities unknown (100, 200, 300), corresponding to 3 observations in acoustics. 
+#> Warning: Check 3 (receiver deployment windows): failed. 2 observations in acoustics outside of receiver deployment windows. 
+#> Warning: Check 3 (tag identity): failed. 3 tag identities unknown (100, 200, 300), corresponding to 3 observations in acoustics. 
+#> Check 4 (tag deployment windows): passed. 
+#> Check 5 (false detections) passed: acoustics$passed_filter does not contain false detections. 
+
+
    +
    +
    - - - + + diff --git a/docs/reference/process_receiver_id.html b/docs/reference/process_receiver_id.html index 0c2e730..dd917b6 100644 --- a/docs/reference/process_receiver_id.html +++ b/docs/reference/process_receiver_id.html @@ -1,67 +1,12 @@ - - - - - - - -Add unique receiver IDs to passive acoustic telemetry time series — process_receiver_id • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Add unique receiver IDs to passive acoustic telemetry time series — process_receiver_id • flapper - - + + - - -
    -
    - -
    - -
    +

    Add unique receiver IDs to passive acoustic telemetry time series

    - Source: R/processing.R + Source: R/processing.R
    @@ -123,90 +65,94 @@

    Add unique receiver IDs to passive acoustic telemetry time series

    This function extracts the unique receiver deployment IDs (e.g., 1,...n) from a dataframe containing receiver attributes (e.g. unique receiver deployment IDs, receiver codes and locations), termed moorings, that correspond to passive acoustic telemetry (PAT) receiver codes in detection time series, termed acoustics. This is especially useful if the same receiver has been deployed multiple times (e.g. in different locations) over the course of the study. In this scenario, the receiver code in the PAT detection time series does not uniquely identify the unique receiver deployment, which means that receiver codes in PAT data and metadata cannot simply be matched: instead, both receiver code(s) and the time of detection(s) need to be included in the matching procedure. In this case, process_receiver_id examines each receiver with detections in acoustics. If that receiver was redeployed, the function examines the time of each detection and returns the ID of the receiver that recorded that detection (given the timing of receiver deployment). If each receiver was only deployed once, this function simply matches receiver codes in moorings and receiver codes in acoustics and returns the receiver IDs (which, in this case, may be the same as the receiver codes) in moorings that correspond to each receiver code in acoustics.

    - 
    process_receiver_id(acoustics, moorings)
    - -

    Arguments

    - - - - - - - - - - -
    acoustics

    A dataframe which comprises passive acoustic telemetry detection time series. This must contain two named columns: `timestamp', a POSIXct vector which defines the time of each detection; and `receiver', a vector which defines the receiver at which each detection was made. The column `receiver' should also be found in moorings (see below).

    moorings

    A dataframe which contains passive acoustic telemetry receiver metadata. This must contain four named columns: `receiver', as above for acoustics; `receiver_id', a unique identifier for each receiver deployment; `receiver_start_date', a POSIXct vector which defines the time of each receiver deployment; and `receiver_end_date', a POSIXct vector which defines the end of each receiver deployment. If objects of class Date are provided for `receiver_start_date' and `receiver_end_date', these are coerced to POSIXct objects with a warning so that the timing of receiver detections and deployment is comparable (i.e., of the same object type).

    +
    + 
    process_receiver_id(acoustics, moorings)
    +
    -

    Value

    +
    +

    Arguments

    +
    acoustics
    +

    A dataframe which comprises passive acoustic telemetry detection time series. This must contain two named columns: `timestamp', a POSIXct vector which defines the time of each detection; and `receiver', a vector which defines the receiver at which each detection was made. The column `receiver' should also be found in moorings (see below).

    -

    The function returns a vector of receiver IDs, as defined in the moorings$receiver_id column, which correspond to each detection in the acoustics dataframe.

    -

    Details

    -

    The function implements foverlaps to overlap the timing of detections with the timing of receiver deployments to account for receiver deployment in the assignment of receiver IDs.

    -

    See also

    +
    moorings
    +

    A dataframe which contains passive acoustic telemetry receiver metadata. This must contain four named columns: `receiver', as above for acoustics; `receiver_id', a unique identifier for each receiver deployment; `receiver_start_date', a POSIXct vector which defines the time of each receiver deployment; and `receiver_end_date', a POSIXct vector which defines the end of each receiver deployment. If objects of class Date are provided for `receiver_start_date' and `receiver_end_date', these are coerced to POSIXct objects with a warning so that the timing of receiver detections and deployment is comparable (i.e., of the same object type).

    -

    add_unit_id is a slightly more general function.

    -

    Author

    +
    +
    +

    Value

    + +

    The function returns a vector of receiver IDs, as defined in the moorings$receiver_id column, which correspond to each detection in the acoustics dataframe.

    +
    +
    +

    Details

    +

    The function implements foverlaps to overlap the timing of detections with the timing of receiver deployments to account for receiver deployment in the assignment of receiver IDs.

    +
    +
    +

    See also

    +

    add_unit_id is a slightly more general function.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Define example data
-# In this example, we have two receivers, but one has been re-deployed:
-moorings <- data.frame(receiver = c(1, 1, 2),
-                       receiver_id = c(1, 2, 3),
-                       start_date = as.POSIXct(c("2016-01-01",
-                                                 "2016-01-02",
-                                                 "2016-01-01"), tz = "UTC"),
-                       end_date = as.POSIXct(c("2016-01-02",
-                                               "2016-01-03",
-                                               "2016-01-02"), tz = "UTC")
-                       )
-# Our observational dataframe contains receivers but not unique receiver IDs:
-acoustics <- data.frame(receiver = c(1, 1, 2),
-                       timestamp = as.POSIXct(c("2016-01-01 00:30:00",
-                                                 "2016-01-02 00:30:00",
-                                                 "2016-01-01 00:30:00"), tz = "UTC")
-                                              )
-
-#### Example (1): Add unique receiver IDs to the observational dataframe
-# The first observation corresponds to receiver 1;
-# The second observation corresponds to the same receiver
-# ... but a different deployment, and has receiver_id = 2
-# The third observation corresponds to receiver id 3;
-acoustics$receiver_id <- process_receiver_id(acoustics, moorings)
-acoustics
-
    #>   receiver           timestamp receiver_id
-#> 1        1 2016-01-01 00:30:00           1
-#> 2        1 2016-01-02 00:30:00           2
-#> 3        2 2016-01-01 00:30:00           3
    
-
    +
    +

    Examples

    + 
    #### Define example data
+# In this example, we have two receivers, but one has been re-deployed:
+moorings <- data.frame(receiver = c(1, 1, 2),
+                       receiver_id = c(1, 2, 3),
+                       start_date = as.POSIXct(c("2016-01-01",
+                                                 "2016-01-02",
+                                                 "2016-01-01"), tz = "UTC"),
+                       end_date = as.POSIXct(c("2016-01-02",
+                                               "2016-01-03",
+                                               "2016-01-02"), tz = "UTC")
+                       )
+# Our observational dataframe contains receivers but not unique receiver IDs:
+acoustics <- data.frame(receiver = c(1, 1, 2),
+                       timestamp = as.POSIXct(c("2016-01-01 00:30:00",
+                                                 "2016-01-02 00:30:00",
+                                                 "2016-01-01 00:30:00"), tz = "UTC")
+                                              )
+
+#### Example (1): Add unique receiver IDs to the observational dataframe
+# The first observation corresponds to receiver 1;
+# The second observation corresponds to the same receiver
+# ... but a different deployment, and has receiver_id = 2
+# The third observation corresponds to receiver id 3;
+acoustics$receiver_id <- process_receiver_id(acoustics, moorings)
+acoustics
+#>   receiver           timestamp receiver_id
+#> 1        1 2016-01-01 00:30:00           1
+#> 2        1 2016-01-02 00:30:00           2
+#> 3        2 2016-01-01 00:30:00           3
+
+
    +
    +
    - - - + + diff --git a/docs/reference/process_surface.html b/docs/reference/process_surface.html index 2bd1efd..9376ef4 100644 --- a/docs/reference/process_surface.html +++ b/docs/reference/process_surface.html @@ -1,67 +1,12 @@ - - - - - - - -Process a Raster* by aggregation and quantify the error induced by this process — process_surface • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Process a Raster* by aggregation and quantify the error induced by this process — process_surface • flapper - - + + - - -
    -
    - -
    - -
    +

    Process a Raster* by aggregation and quantify the error induced by this process

    - Source: R/processing.R + Source: R/processing.R
    -

    This function reduces the resolution of a raster by multiple aggregation methods and then quantifies the relative error induced by each method from the differences between the original values and the aggregated values. To implement the function, a raster (x) must be supplied as well as an aggregation factor (fact) and a named list of functions (stat) used to aggregate the raster. The raster is aggregated using each method (function) and mapped back onto the original resolution for calculation of the differences between the original raster and the aggregated raster(s). The function returns a visual statistical summary of the differences (if plot = TRUE) and a named list comprising the aggregated raster(s) and the re-sampled version(s) of those mapped back onto the original resolution.

    +

    This function reduces the resolution of a raster by multiple aggregation methods and then quantifies the relative error induced by each method from the differences between the original values and the aggregated values. To implement the function, a raster (x) must be supplied as well as an aggregation factor (fact) and a named list of functions (stat) used to aggregate the raster. The raster is aggregated using each method (function) and mapped back onto the original resolution for calculation of the differences between the original raster and the aggregated raster(s). The function returns a visual statistical summary of the differences (if plot = TRUE) and a named list comprising the aggregated raster(s) and the re-sampled version(s) of those mapped back onto the original resolution.

    +
    + +
    + 
    process_surface(
+  x,
+  fact = 2L,
+  stat = list(mean = mean),
+  ...,
+  plot = TRUE,
+  cl = NULL,
+  varlist = NULL,
+  verbose = TRUE
+)
    - 
    process_surface(
-  x,
-  fact = 2L,
-  stat = list(mean = mean),
-  ...,
-  plot = TRUE,
-  cl = NULL,
-  varlist = NULL,
-  verbose = TRUE
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    x

    A raster to be processed. For implementations preceding a call to of one of flapper's particle filtering algorithms, x should be planar (i.e., Universal Transverse Mercator projection) with equal resolution in the x, y directions and identical units in the x, y and z directions (see pf).

    fact

    A positive integer that defines by how much x should be aggregated (see aggregate).

    stat

    A named list of functions used to aggregate x (see the fun argument of aggregate).

    ...

    Additional arguments passed to aggregate to control aggregation.

    plot

    A logical input that defines whether or not to plot a summary of the differences between the original raster (x) and the aggregated raster(s). If specified, the minimum, median and maximum difference are shown for each statistic (stat).

    cl, varlist

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    verbose

    A logical input that defines whether or not to print messages to the console to relay function progress.

    - -

    Value

    - -

    The function returns a plot of the differences between the original and aggregated raster(s), if plot = TRUE, and a named list of (a) the aggregated raster(s) (`agg_by_stat'), (b) the aggregated, resampled raster(s) (`agg_by_stat_rs') and (c) the summary statistics plotted.

    -

    Details

    - -

    This function was motivated by the particle filtering algorithms in flapper (e.g., pf). For these algorithms, it is computationally beneficial to reduce raster resolution, where possible, by aggregation. To facilitate this process, this function quantifies the relative error induced by different aggregation functions. If appropriate, the particle filtering algorithm(s) can then be implemented using the aggregated raster that minimises the error, with the magnitude of that error propagated via the depth_error parameter.

    -

    See also

    - -

    aggregate, resample

    -

    Author

    +
    +

    Arguments

    +
    x
    +

    A raster to be processed. For implementations preceding a call to of one of flapper's particle filtering algorithms, x should be planar (i.e., Universal Transverse Mercator projection) with equal resolution in the x, y directions and identical units in the x, y and z directions (see pf).

    + + +
    fact
    +

    A positive integer that defines by how much x should be aggregated (see aggregate).

    + + +
    stat
    +

    A named list of functions used to aggregate x (see the fun argument of aggregate).

    + + +
    ...
    +

    Additional arguments passed to aggregate to control aggregation.

    + +
    plot
    +

    A logical input that defines whether or not to plot a summary of the differences between the original raster (x) and the aggregated raster(s). If specified, the minimum, median and maximum difference are shown for each statistic (stat).

    + + +
    cl, varlist
    +

    (optional) Parallelisation options. cl is (a) a cluster object from makeCluster or (b) an integer that defines the number of child processes. varlist is a character vector of variables for export (see cl_export). Exported variables must be located in the global environment. If a cluster is supplied, the connection to the cluster is closed within the function (see cl_stop). For further information, see cl_lapply and flapper-tips-parallel.

    + + +
    verbose
    +

    A logical input that defines whether or not to print messages to the console to relay function progress.

    + +
    +
    +

    Value

    + + +

    The function returns a plot of the differences between the original and aggregated raster(s), if plot = TRUE, and a named list of (a) the aggregated raster(s) (`agg_by_stat'), (b) the aggregated, resampled raster(s) (`agg_by_stat_rs') and (c) the summary statistics plotted.

    +
    +
    +

    Details

    +

    This function was motivated by the particle filtering algorithms in flapper (e.g., pf). For these algorithms, it is computationally beneficial to reduce raster resolution, where possible, by aggregation. To facilitate this process, this function quantifies the relative error induced by different aggregation functions. If appropriate, the particle filtering algorithm(s) can then be implemented using the aggregated raster that minimises the error, with the magnitude of that error propagated via the depth_error parameter.

    +
    +
    +

    See also

    +

    aggregate, resample

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    # Define the raster for which to implement the function
-x <- dat_gebco
-blank <- raster::raster(raster::extent(x), crs = raster::crs(x), resolution = 250)
-x <- raster::resample(x, blank, method = "bilinear")
-
    #> Warning: aggregation factor is larger than the number of columns
    #> Warning: aggregation factor is larger than the number of rows
    # Implement function using a list of statistics
-out <- process_surface(x, fact = 2, stat = list(min = min, mean = mean, median = median, max = max))
-
    #> flapper::process_surface() called (@ 2022-06-17 10:08:17)... 
-#> ... Aggregating raster... 
    #> Warning: aggregation factor is larger than the number of columns
    #> Warning: aggregation factor is larger than the number of rows
    #> Warning: aggregation factor is larger than the number of columns
    #> Warning: aggregation factor is larger than the number of rows
    #> Warning: aggregation factor is larger than the number of columns
    #> Warning: aggregation factor is larger than the number of rows
    #> Warning: aggregation factor is larger than the number of columns
    #> Warning: aggregation factor is larger than the number of rows
    #> ... Resampling aggregated raster(s) back onto the original resolution... 
-#> ... Computing differences between the original and aggregated raster(s)... 
-#> ... Summarising the differences between rasters across statistic(s)... 
    #> Warning: no non-missing arguments to min; returning Inf
    #> Warning: no non-missing arguments to min; returning Inf
    #> Warning: no non-missing arguments to min; returning Inf
    #> Warning: no non-missing arguments to min; returning Inf
    #> Warning: no non-missing arguments to max; returning -Inf
    #> Warning: no non-missing arguments to max; returning -Inf
    #> Warning: no non-missing arguments to max; returning -Inf
    #> Warning: no non-missing arguments to max; returning -Inf
    #> 4 observation pair(s) in x are NA; these are removed.
    #> Error in (function (side = 1:4, x = list(), lim = list(), pretty = list(n = 5),     units = list(), axis = list(), pi_notation = NULL, control_axis = list(las = TRUE),     control_sci_notation = list(), control_digits = NULL, control_factor_lim = 0.5,     axis_ls = NULL, add = FALSE, return_list = TRUE, ...) {    if (is.null(axis_ls)) {        if (length(side) == 3)             stop("Three axis sides are not currently supported.")        if (length(side) > 1) {            if (!(side[1] %in% c(1, 3)))                 stop("side[1] should refer to an x axis (i.e., side[1] = 1 or 3).")            if (!(side[2] %in% c(2, 4)))                 stop("side[2] should refer to a y axis (i.e., side[2] = 2 or 4).")        }        if (length(x) == 0) {            if (length(lim) == 0) {                stop("'x' or 'lim' must be supplied.")            }            else {                message("pretty_axis() 'x' values taken from 'lim'.")                x <- lim            }        }        check_input_class(arg = "x", input = x, if_class = NULL,             to_class = "list", type = "stop")        lim <- empty_list_to_list_null("lim", lim)        pretty <- empty_list_to_list_null("pretty", pretty)        units <- empty_list_to_list_null("units", units)        axis <- empty_list_to_list_null("axis", axis)        if (is.null(pi_notation))             pi_notation <- lapply(1:length(side), function(x) -1)        pi_notation <- empty_list_to_list_null("pi_notation",             pi_notation)        mapply(list(x, lim, units), list("x", "lim", "units"),             FUN = function(elm, elm_name) {                if (length(elm) > 0 & length(elm) > length(side)) {                  stop(paste0(length(side), " side(s) supplied but argument '",                     elm_name, "' contains ", length(elm), " elements."))                }            })        x <- mapply(x, 1:length(x), FUN = function(elm, i) {            arg <- paste0("x[[", i, "]]")            elm <- check_input_class(arg = arg, input = elm,                 if_class = "character", to_class = "factor",                 type = "warning", coerce_input = factor)            elm <- check_tz(arg, elm)            return(elm)        }, SIMPLIFY = FALSE)        lim <- mapply(lim, 1:length(lim), FUN = function(elm,             i) {            arg <- paste0("lim[[", i, "]]")            elm <- check_tz(arg, elm)            return(elm)        }, SIMPLIFY = FALSE)        lx <- sapply(x, length)        if (length(unique(lx)) != 1) {            message("'x' contains elements with different numbers of observations; collapsing each element (i) in 'x' to range(i).")            x <- lapply(x, function(e) {                if (inherits(e, "factor")) {                  rng <- range_factor(e)                }                else {                  rng <- range(e, na.rm = TRUE)                }                return(rng)            })            lx <- c(2, 2)        }        dat <- data.frame(do.call(cbind, x))        dat <- dat[stats::complete.cases(dat), , drop = FALSE]        nrw <- nrow(dat)        if (nrw != lx[1]) {            lna <- lx[1] - nrw            message(paste(lna, "observation pair(s) in x are NA; these are removed."))            x <- lapply(1:ncol(dat), function(i) return(dat[,                 i]))            if (length(x[[1]]) < 1)                 stop("No non NA observations left in x.")        }        lim <- list_adjust(l = lim, f = length, side = side)        pretty <- list_adjust(l = pretty, f = list_depth, side = side)        units <- list_adjust(l = units, f = length, side = side)        axis <- list_adjust(l = axis, f = list_depth, side = side)        pi_notation <- list_adjust(l = pi_notation, f = list_depth,             side = side)        dots <- list(...)        dnms <- names(dots)        if (!is.null(dnms)) {            for (param in c("cex.axis", "cex.lab", "col.axis",                 "col.lab", "font.axis", "font.lab", "las")) {                if (param %in% dnms)                   control_axis[[param]] <- dots[[param]]            }        }        axis_ls <- mapply(side, x, lim, pretty, units, axis,             pi_notation, SIMPLIFY = FALSE, FUN = function(iside,                 ix, ilim, ipretty, iunits, iaxis, ipi) {                testing <- FALSE                if (testing) {                  iside <- side[1]                  ix <- x[[1]]                  ilim <- lim[[1]]                  ipretty <- pretty[[1]]                  iunits <- units[[1]]                  iaxis <- axis[[1]]                  ipi <- pi_notation[[1]]                }                if (inherits(ilim, "list"))                   ilim <- Reduce(c, ilim)                ipretty <- compact(ipretty)                iunits <- unlist(compact(iunits))                iaxis <- compact(iaxis)                ipi <- compact(ipi)                ipi <- compact(ipi)                if (all(sapply(1:length(ipi), function(i) isTRUE(unlist(ipi)[i] ==                   -1))))                   ipi <- NULL                if (is_number(ix)) {                  if (!is.null(ipi)) {                    ix <- ix/pi                    if (!is.null(ilim))                       ilim <- ilim/pi                  }                }                else {                  if (!is.null(ipi))                     warning("pi_notation argument(s) ignored for non-numeric variable(s).")                }                iunits_warn <- ifelse(length(iunits) != 0, TRUE,                   FALSE)                iunits <- units_x(iunits, x = ix)                ilim <- define_lim_init(x = ix, at = iaxis$at,                   lim = ilim)                if (is.null(iaxis$at)) {                  if (length(ipretty) > 0) {                    if (iunits_warn)                       warning("Both pretty and units specified for an axis. pretty arguments implemented.")                    pretty_seq_ls <- pretty_seq(x = ix, lim = ilim,                       pretty_args = ipretty)                    iaxis$at <- pretty_seq_ls$at                    ilim <- pretty_seq_ls$lim                  }                  else {                    iaxis$at <- seq_x(ilim[1], ilim[2], units = iunits)                  }                }                if (is.factor(ix)) {                  ilim <- c(min(ilim) - control_factor_lim, max(ilim) +                     control_factor_lim)                  attributes(ilim)$user <- c(FALSE, FALSE)                }                if (is.null(iaxis$labels))                   iaxis$labels <- pretty_labels(x = ix, at = iaxis$at,                     n = control_digits, pi_notation_args = ipi,                     sci_notation_args = control_sci_notation)                if (is_number(ix) & !is.null(ipi)) {                  ilim <- ilim * pi                  iaxis$at <- iaxis$at * pi                }                iaxis$side <- iside                if (length(control_axis) > 0)                   iaxis <- rlist::list.merge(iaxis, control_axis)                out <- list(axis = iaxis, lim = ilim)                return(out)            })        names(axis_ls) <- side        s1s <- c("1", "2", "3", "4")        s2s <- list(c("2", "4"), c("1", "3"), c("2", "4"), c("1",             "3"))        sfs <- list(min, min, max, max)        for (s in 1:4) {            s1 <- s1s[s]            s2 <- s2s[[s]]            s21 <- s2[1]            s22 <- s2[2]            sf <- sfs[[s]]            if (s1 %in% side) {                if (is.null(axis_ls[[s1]]$axis$pos) & !is.null(axis_ls[[s21]]$axis) |                   !is.null(axis_ls[[s22]]$axis)) {                  s2select <- s2[which(c(!is.null(axis_ls[[s21]]$axis),                     !is.null(axis_ls[[s22]]$axis)))]                  s2select <- s2select[1]                  axis_ls[[s1]]$axis$pos <- sf(axis_ls[[s2select]]$lim)                }            }        }    }    if (any(is.na(names(axis_ls)))) {        stop("names(axis_ls) contains NA(s). The number of sides and the number of elements in argument lists is not aligned.")    }    if (add) {        lapply(axis_ls, function(elem) {            tmp_axis_args <- elem$axis            tmp_axis_args$at <- elem$lim            tmp_axis_args$lwd.ticks <- c(0, 0)            tmp_axis_args$labels <- c("", "")            at <- elem$axis$at            add_axis <- choose_foo_axis(at)            do.call(add_axis, tmp_axis_args)            do.call(add_axis, elem$axis)        })    }    if (return_list)         return(axis_ls)})(add = FALSE, type = "n", side = 1:2, pretty = list(n = 5),     x = list(structure(1:4, .Label = c("min", "mean", "median",     "max"), class = "factor"), c(min = NaN, mean = NaN, median = NaN,     max = NaN)), lim = list(x = NULL, y = c(-Inf, Inf))): No non NA observations left in x.
    summary(out)
-
    #> Error in summary(out): object 'out' not found
    
-
    +
    +

    Examples

    + 
    # Define the raster for which to implement the function
+x <- dat_gebco
+blank <- raster::raster(raster::extent(x), crs = raster::crs(x), resolution = 250)
+x <- raster::resample(x, blank, method = "bilinear")
+#> Warning: aggregation factor is larger than the number of columns
+#> Warning: aggregation factor is larger than the number of rows
+# Implement function using a list of statistics
+out <- process_surface(x, fact = 2, stat = list(min = min, mean = mean, median = median, max = max))
+#> flapper::process_surface() called (@ 2023-02-19 15:04:40)... 
+#> ... Aggregating raster... 
+#> Warning: aggregation factor is larger than the number of columns
+#> Warning: aggregation factor is larger than the number of rows
+#> Warning: aggregation factor is larger than the number of columns
+#> Warning: aggregation factor is larger than the number of rows
+#> Warning: aggregation factor is larger than the number of columns
+#> Warning: aggregation factor is larger than the number of rows
+#> Warning: aggregation factor is larger than the number of columns
+#> Warning: aggregation factor is larger than the number of rows
+#> ... Resampling aggregated raster(s) back onto the original resolution... 
+#> ... Computing differences between the original and aggregated raster(s)... 
+#> ... Summarising the differences between rasters across statistic(s)... 
+#> Warning: no non-missing arguments to min; returning Inf
+#> Warning: no non-missing arguments to min; returning Inf
+#> Warning: no non-missing arguments to min; returning Inf
+#> Warning: no non-missing arguments to min; returning Inf
+#> Warning: no non-missing arguments to max; returning -Inf
+#> Warning: no non-missing arguments to max; returning -Inf
+#> Warning: no non-missing arguments to max; returning -Inf
+#> Warning: no non-missing arguments to max; returning -Inf
+#> 4 observation pair(s) in x are NA; these are removed.
+#> Error in (function (side = 1:4, x = list(), lim = list(), pretty = list(n = 5),     units = list(), axis = list(), pi_notation = NULL, control_axis = list(las = TRUE),     control_sci_notation = list(), control_digits = NULL, control_factor_lim = 0.5,     axis_ls = NULL, add = FALSE, return_list = TRUE, ...) {    if (is.null(axis_ls)) {        if (length(side) == 3)             stop("Three axis sides are not currently supported.")        if (length(side) > 1) {            if (!(side[1] %in% c(1, 3)))                 stop("side[1] should refer to an x axis (i.e., side[1] = 1 or 3).")            if (!(side[2] %in% c(2, 4)))                 stop("side[2] should refer to a y axis (i.e., side[2] = 2 or 4).")        }        if (length(x) == 0) {            if (length(lim) == 0) {                stop("'x' or 'lim' must be supplied.")            }            else {                message("pretty_axis() 'x' values taken from 'lim'.")                x <- lim            }        }        check_input_class(arg = "x", input = x, if_class = NULL,             to_class = "list", type = "stop")        lim <- empty_list_to_list_null("lim", lim)        pretty <- empty_list_to_list_null("pretty", pretty)        units <- empty_list_to_list_null("units", units)        axis <- empty_list_to_list_null("axis", axis)        if (is.null(pi_notation))             pi_notation <- lapply(1:length(side), function(x) -1)        pi_notation <- empty_list_to_list_null("pi_notation",             pi_notation)        mapply(list(x, lim, units), list("x", "lim", "units"),             FUN = function(elm, elm_name) {                if (length(elm) > 0 & length(elm) > length(side)) {                  stop(paste0(length(side), " side(s) supplied but argument '",                     elm_name, "' contains ", length(elm), " elements."))                }            })        x <- mapply(x, 1:length(x), FUN = function(elm, i) {            arg <- paste0("x[[", i, "]]")            elm <- check_input_class(arg = arg, input = elm,                 if_class = "character", to_class = "factor",                 type = "warning", coerce_input = factor)            elm <- check_tz(arg, elm)            return(elm)        }, SIMPLIFY = FALSE)        lim <- mapply(lim, 1:length(lim), FUN = function(elm,             i) {            arg <- paste0("lim[[", i, "]]")            elm <- check_tz(arg, elm)            return(elm)        }, SIMPLIFY = FALSE)        lx <- sapply(x, length)        if (length(unique(lx)) != 1) {            message("'x' contains elements with different numbers of observations; collapsing each element (i) in 'x' to range(i).")            x <- lapply(x, function(e) {                if (inherits(e, "factor")) {                  rng <- range_factor(e)                }                else {                  rng <- range(e, na.rm = TRUE)                }                return(rng)            })            lx <- c(2, 2)        }        dat <- data.frame(do.call(cbind, x))        dat <- dat[stats::complete.cases(dat), , drop = FALSE]        nrw <- nrow(dat)        if (nrw != lx[1]) {            lna <- lx[1] - nrw            message(paste(lna, "observation pair(s) in x are NA; these are removed."))            x <- lapply(1:ncol(dat), function(i) return(dat[,                 i]))            if (length(x[[1]]) < 1)                 stop("No non NA observations left in x.")        }        lim <- list_adjust(l = lim, f = length, side = side)        pretty <- list_adjust(l = pretty, f = list_depth, side = side)        units <- list_adjust(l = units, f = length, side = side)        axis <- list_adjust(l = axis, f = list_depth, side = side)        pi_notation <- list_adjust(l = pi_notation, f = list_depth,             side = side)        dots <- list(...)        dnms <- names(dots)        if (!is.null(dnms)) {            for (param in c("cex.axis", "cex.lab", "col.axis",                 "col.lab", "font.axis", "font.lab", "las")) {                if (param %in% dnms)                   control_axis[[param]] <- dots[[param]]            }        }        axis_ls <- mapply(side, x, lim, pretty, units, axis,             pi_notation, SIMPLIFY = FALSE, FUN = function(iside,                 ix, ilim, ipretty, iunits, iaxis, ipi) {                testing <- FALSE                if (testing) {                  iside <- side[1]                  ix <- x[[1]]                  ilim <- lim[[1]]                  ipretty <- pretty[[1]]                  iunits <- units[[1]]                  iaxis <- axis[[1]]                  ipi <- pi_notation[[1]]                }                if (inherits(ilim, "list"))                   ilim <- Reduce(c, ilim)                ipretty <- compact(ipretty)                iunits <- unlist(compact(iunits))                iaxis <- compact(iaxis)                ipi <- compact(ipi)                ipi <- compact(ipi)                if (all(sapply(1:length(ipi), function(i) isTRUE(unlist(ipi)[i] ==                   -1))))                   ipi <- NULL                if (is_number(ix)) {                  if (!is.null(ipi)) {                    ix <- ix/pi                    if (!is.null(ilim))                       ilim <- ilim/pi                  }                }                else {                  if (!is.null(ipi))                     warning("pi_notation argument(s) ignored for non-numeric variable(s).")                }                iunits_warn <- ifelse(length(iunits) != 0, TRUE,                   FALSE)                iunits <- units_x(iunits, x = ix)                ilim <- define_lim_init(x = ix, at = iaxis$at,                   lim = ilim)                if (is.null(iaxis$at)) {                  if (length(ipretty) > 0) {                    if (iunits_warn)                       warning("Both pretty and units specified for an axis. pretty arguments implemented.")                    pretty_seq_ls <- pretty_seq(x = ix, lim = ilim,                       pretty_args = ipretty)                    iaxis$at <- pretty_seq_ls$at                    ilim <- pretty_seq_ls$lim                  }                  else {                    iaxis$at <- seq_x(ilim[1], ilim[2], units = iunits)                  }                }                if (is.factor(ix)) {                  ilim <- c(min(ilim) - control_factor_lim, max(ilim) +                     control_factor_lim)                  attributes(ilim)$user <- c(FALSE, FALSE)                }                if (is.null(iaxis$labels))                   iaxis$labels <- pretty_labels(x = ix, at = iaxis$at,                     n = control_digits, pi_notation_args = ipi,                     sci_notation_args = control_sci_notation)                if (is_number(ix) & !is.null(ipi)) {                  ilim <- ilim * pi                  iaxis$at <- iaxis$at * pi                }                iaxis$side <- iside                if (length(control_axis) > 0)                   iaxis <- rlist::list.merge(iaxis, control_axis)                out <- list(axis = iaxis, lim = ilim)                return(out)            })        names(axis_ls) <- side        s1s <- c("1", "2", "3", "4")        s2s <- list(c("2", "4"), c("1", "3"), c("2", "4"), c("1",             "3"))        sfs <- list(min, min, max, max)        for (s in 1:4) {            s1 <- s1s[s]            s2 <- s2s[[s]]            s21 <- s2[1]            s22 <- s2[2]            sf <- sfs[[s]]            if (s1 %in% side) {                if (is.null(axis_ls[[s1]]$axis$pos) & !is.null(axis_ls[[s21]]$axis) |                   !is.null(axis_ls[[s22]]$axis)) {                  s2select <- s2[which(c(!is.null(axis_ls[[s21]]$axis),                     !is.null(axis_ls[[s22]]$axis)))]                  s2select <- s2select[1]                  axis_ls[[s1]]$axis$pos <- sf(axis_ls[[s2select]]$lim)                }            }        }    }    if (any(is.na(names(axis_ls)))) {        stop("names(axis_ls) contains NA(s). The number of sides and the number of elements in argument lists is not aligned.")    }    if (add) {        lapply(axis_ls, function(elem) {            tmp_axis_args <- elem$axis            tmp_axis_args$at <- elem$lim            tmp_axis_args$lwd.ticks <- c(0, 0)            tmp_axis_args$labels <- c("", "")            at <- elem$axis$at            add_axis <- choose_foo_axis(at)            do.call(add_axis, tmp_axis_args)            elem$axis$col.ticks <- elem$axis$col            elem$axis$col <- NA            if (is.null(elem$axis$col.ticks))                 elem$axis$col.ticks <- "black"            do.call(add_axis, elem$axis)        })    }    if (return_list)         return(axis_ls)})(add = FALSE, type = "n", side = 1:2, pretty = list(n = 5),     x = list(structure(1:4, levels = c("min", "mean", "median",     "max"), class = "factor"), c(min = NaN, mean = NaN, median = NaN,     max = NaN)), lim = list(x = NULL, y = c(-Inf, Inf))): No non NA observations left in x.
+summary(out)
+#> Error in summary(out): object 'out' not found
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/query_open_topo.html b/docs/reference/query_open_topo.html index e3a9b12..da93fc2 100644 --- a/docs/reference/query_open_topo.html +++ b/docs/reference/query_open_topo.html @@ -1,67 +1,12 @@ - - - - - - - -Query the Open Topo Data API for elevation data — query_open_topo • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Query the Open Topo Data API for elevation data — query_open_topo • flapper - - - - + + -
    -
    - -
    - -
    +

    Query the Open Topo Data API for elevation data

    - Source: R/queries.R + Source: R/queries.R
    @@ -123,145 +65,148 @@

    Query the Open Topo Data API for elevation data

    This function queries the Open Topo Data elevation Application Programming Interface (API) to extract elevation data for inputted coordinates, rasters, or areas.

    - 
    query_open_topo(
-  x,
-  db = "gebco2020",
-  interpolation = "bilinear",
-  encoding = NULL,
-  verbose = TRUE,
-  ...
-)
    +
    + 
    query_open_topo(
+  x,
+  db = "gebco2020",
+  interpolation = "bilinear",
+  encoding = NULL,
+  verbose = TRUE,
+  ...
+)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - -
    x

    A two-column matrix of coordinates (x, y), an extent object or a raster that defines the coordinates/area for which elevation data are desired. If a matrix is supplied, a query is sent for all pairs of coordinates in this matrix. If an extent object is provided, a query is sent for all cells spanning this area, depending on the specified dimensions (see ...). If a raster is supplied, a query is only sent for non NA cells, which can be more efficient (since areas for which data are not required can be masked prior to function implementation). The coordinate reference system must be latitude/longitude.

    db

    A character string that defines the database to be queried. Any option supported by Open Topo Data can be inputted, including ASTER ("aster30m"), ETOPO1 ("etopo1"), EU-DEM ("eudem25m"), Mapzen ("mapzen"), NED ("ned10m"), NZ DEM ("nzdem8m"), SRTM ("srtm90m"), EMOD bathymetry ("emod2018") and GEBCO bathymetry ("gebco2020") (see https://www.opentopodata.org for further details).

    interpolation

    A character ("nearest", "bilinear" or "cubic") that defines the interpolation method that is used to interpolate elevation values to inputted x locations.

    encoding

    (optional) The character encoding (e.g., UTF-8).

    verbose

    A logical variable that defines whether or not to print messages to the console to relay function progress.

    ...

    Additional arguments passed to raster if x is an Extent object, such as the resolution.

    +
    +

    Arguments

    +
    x
    +

    A two-column matrix of coordinates (x, y), an extent object or a raster that defines the coordinates/area for which elevation data are desired. If a matrix is supplied, a query is sent for all pairs of coordinates in this matrix. If an extent object is provided, a query is sent for all cells spanning this area, depending on the specified dimensions (see ...). If a raster is supplied, a query is only sent for non NA cells, which can be more efficient (since areas for which data are not required can be masked prior to function implementation). The coordinate reference system must be latitude/longitude.

    -

    Value

    -

    The function returns elevation (`z') values from the specified database as a matrix, if code x is a matrix, or a raster, if code x is a raster or an Extent object. Coordinates/areas without data are returned as NAs.

    -

    Details

    +
    db
    +

    A character string that defines the database to be queried. Any option supported by Open Topo Data can be inputted, including ASTER ("aster30m"), ETOPO1 ("etopo1"), EU-DEM ("eudem25m"), Mapzen ("mapzen"), NED ("ned10m"), NZ DEM ("nzdem8m"), SRTM ("srtm90m"), EMOD bathymetry ("emod2018") and GEBCO bathymetry ("gebco2020") (see https://www.opentopodata.org for further details).

    -

    Open Topo Data is an elevation API. Further information, including on supported datasets, supported numbers of locations (which, at the time of writing, is limited to 100) and other details are provided here: https://www.opentopodata.org/. This function requires the httr and jsonlite packages to query databases.

    -

    See also

    -

    Open Topo Data (https://www.opentopodata.org/).

    -

    Author

    +
    interpolation
    +

    A character ("nearest", "bilinear" or "cubic") that defines the interpolation method that is used to interpolate elevation values to inputted x locations.

    -

    Edward Lavender

    -

    Examples

    - 
    if (FALSE) {
-#### Set up example spatial data with lat/long projection
-proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
-dat_gebco_wgs84 <- raster::projectRaster(dat_gebco, crs = proj_wgs84)
-dat_coast_wgs84 <- sp::spTransform(dat_coast, proj_wgs84)
+
    encoding
    
+
    (optional) The character encoding (e.g., UTF-8).
    
+
 
-#### Example (1): Queries with a single set of coordinates
-# Define coordinates
-x <- dat_gebco_wgs84
-x <- matrix(c(-5.616532, 56.50279), ncol = 2)
-# Plot area
-prettyGraphics::pretty_map(add_rasters = list(x = dat_gebco_wgs84),
-                           add_polys = list(x = dat_coast_wgs84),
-                           add_points = list(x = x),
-                           verbose = FALSE)
-# Check depth in area using available data
-raster::extract(dat_gebco_wgs84, x)
-# Query database
-query_open_topo(x = x, db = "gebco2020")
+
    verbose
    
+
    A logical variable that defines whether or not to print messages to the console to relay function progress.
    
 
-#### Example (2): Use alternative options
-# Alternative databases, such as EMOD bathymetry
-query_open_topo(x = x, db = "emod2018", verbose = FALSE)
-# Set interpolation
-query_open_topo(x = x, db = "emod2018",
-                interpolation = "cubic", verbose = FALSE)
 
-#### Example (2): Queries with multiple coordinates
-# Define a random sample of coordinates
-x <- raster::coordinates(dat_gebco_wgs84)
-index <- sample(1:nrow(x), 25)
-x <- x[index, ]
-# Query database
-depth <- query_open_topo(x = x, db = "gebco2020")
-# Compare to manually extracted values
-# ... (some of these are NA because dat_gebco has been masked over land)
-depth <- cbind(depth, raster::extract(dat_gebco_wgs84, x))
+
    ...
    
+
    Additional arguments passed to raster if x is an Extent object, such as the resolution.
    
 
-#### Example (3): Queries using an Extent object
-# Note that only 100 locations can be queried at a time
-# ... hence the restrictions on the resolution specified here.
-x <- raster::extent(dat_coast_wgs84)
-depth <- query_open_topo(x = x, nrows = 10, ncols = 10, db = "gebco2020")
-prettyGraphics::pretty_map(add_rasters = list(x = depth),
-                           add_polys = list(x = dat_coast_wgs84),
-                           verbose = FALSE)
+
    +
    +

    Value

    + -#### Example (4): Queries from a masked raster -# Focus on a small area -ext <- raster::extent(c(-5.709508, -5.648977, 56.48656, 56.50267)) -x <- raster::crop(dat_gebco_wgs84, ext) -prettyGraphics::pretty_map(add_rasters = list(x = x), - add_polys = list(x = dat_coast_wgs84), - verbose = FALSE) -# Query database -depth <- query_open_topo(x = x, db = "gebco2020") -prettyGraphics::pretty_map(add_rasters = list(x = depth), - add_polys = list(x = dat_coast_wgs84), - verbose = FALSE) -} +

    The function returns elevation (`z') values from the specified database as a matrix, if code x is a matrix, or a raster, if code x is a raster or an Extent object. Coordinates/areas without data are returned as NAs.

    +
    +
    +

    Details

    +

    Open Topo Data is an elevation API. Further information, including on supported datasets, supported numbers of locations (which, at the time of writing, is limited to 100) and other details are provided here: https://www.opentopodata.org/. This function requires the httr and jsonlite packages to query databases.

    +
    +
    +

    See also

    +

    Open Topo Data (https://www.opentopodata.org/).

    +
    +
    +

    Author

    +

    Edward Lavender

    +
    -
    +
    +

    Examples

    + 
    if (FALSE) {
+#### Set up example spatial data with lat/long projection
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+dat_gebco_wgs84 <- raster::projectRaster(dat_gebco, crs = proj_wgs84)
+dat_coast_wgs84 <- sp::spTransform(dat_coast, proj_wgs84)
+
+#### Example (1): Queries with a single set of coordinates
+# Define coordinates
+x <- dat_gebco_wgs84
+x <- matrix(c(-5.616532, 56.50279), ncol = 2)
+# Plot area
+prettyGraphics::pretty_map(add_rasters = list(x = dat_gebco_wgs84),
+                           add_polys = list(x = dat_coast_wgs84),
+                           add_points = list(x = x),
+                           verbose = FALSE)
+# Check depth in area using available data
+raster::extract(dat_gebco_wgs84, x)
+# Query database
+query_open_topo(x = x, db = "gebco2020")
+
+#### Example (2): Use alternative options
+# Alternative databases, such as EMOD bathymetry
+query_open_topo(x = x, db = "emod2018", verbose = FALSE)
+# Set interpolation
+query_open_topo(x = x, db = "emod2018",
+                interpolation = "cubic", verbose = FALSE)
+
+#### Example (2): Queries with multiple coordinates
+# Define a random sample of coordinates
+x <- raster::coordinates(dat_gebco_wgs84)
+index <- sample(1:nrow(x), 25)
+x <- x[index, ]
+# Query database
+depth <- query_open_topo(x = x, db = "gebco2020")
+# Compare to manually extracted values
+# ... (some of these are NA because dat_gebco has been masked over land)
+depth <- cbind(depth, raster::extract(dat_gebco_wgs84, x))
+
+#### Example (3): Queries using an Extent object
+# Note that only 100 locations can be queried at a time
+# ... hence the restrictions on the resolution specified here.
+x <- raster::extent(dat_coast_wgs84)
+depth <- query_open_topo(x = x, nrows = 10, ncols = 10, db = "gebco2020")
+prettyGraphics::pretty_map(add_rasters = list(x = depth),
+                           add_polys = list(x = dat_coast_wgs84),
+                           verbose = FALSE)
+
+#### Example (4): Queries from a masked raster
+# Focus on a small area
+ext <- raster::extent(c(-5.709508, -5.648977, 56.48656, 56.50267))
+x <- raster::crop(dat_gebco_wgs84, ext)
+prettyGraphics::pretty_map(add_rasters = list(x = x),
+                           add_polys = list(x = dat_coast_wgs84),
+                           verbose = FALSE)
+# Query database
+depth <- query_open_topo(x = x, db = "gebco2020")
+prettyGraphics::pretty_map(add_rasters = list(x = depth),
+                           add_polys = list(x = dat_coast_wgs84),
+                           verbose = FALSE)
+}
+
+
    +
    +
    - - - + + diff --git a/docs/reference/round_any.html b/docs/reference/round_any.html index 6d2df8f..9af9f50 100644 --- a/docs/reference/round_any.html +++ b/docs/reference/round_any.html @@ -1,67 +1,12 @@ - - - - - - - -Round to multiple of any number — round_any • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Round to multiple of any number — round_any • flapper - - + + - - -
    -
    - -
    - -
    +

    Round to multiple of any number

    - Source: R/utils.R + Source: R/utils.R
    @@ -123,54 +65,50 @@

    Round to multiple of any number

    Round to multiple of any number.

    - 
    round_any(x, accuracy, f = round)
    - -

    Arguments

    - - - - - - - - - - - - - - -
    x

    numeric or date-time (POSIXct) vector to round

    accuracy

    number to round to; for POSIXct objects, a number of seconds

    f

    rounding function: floor, ceiling or round

    - -

    Source

    - -

    This function and the documentation are taken from the `plyr' package. The function is defined separately in flapper to reduce reliance on non-default packages.

    +
    + 
    round_any(x, accuracy, f = round)
    +
    + +
    +

    Source

    +

    This function and the documentation are taken from the `plyr' package. The function is defined separately in flapper to reduce reliance on non-default packages.

    +
    +
    +

    Arguments

    +
    x
    +

    numeric or date-time (POSIXct) vector to round

    + + +
    accuracy
    +

    number to round to; for POSIXct objects, a number of seconds

    + + +
    f
    +

    rounding function: floor, ceiling or round

    + +
    +
    - - - + + diff --git a/docs/reference/segments_cross_barrier-1.png b/docs/reference/segments_cross_barrier-1.png index 0e9c268..ef6ab9f 100644 Binary files a/docs/reference/segments_cross_barrier-1.png and b/docs/reference/segments_cross_barrier-1.png differ diff --git a/docs/reference/segments_cross_barrier.html b/docs/reference/segments_cross_barrier.html index 7e23878..98a6a14 100644 --- a/docs/reference/segments_cross_barrier.html +++ b/docs/reference/segments_cross_barrier.html @@ -1,67 +1,12 @@ - - - - - - - -Determine if Euclidean path segments cross a barrier — segments_cross_barrier • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Determine if Euclidean path segments cross a barrier — segments_cross_barrier • flapper - - + + - - -
    -
    - -
    - -
    +

    Determine if Euclidean path segments cross a barrier

    - Source: R/spatial_tools.R + Source: R/spatial_tools.R
    @@ -123,142 +65,148 @@

    Determine if Euclidean path segments cross a barrier

    Given a sequence of `starting' and `ending' locations (start and end), this function determines whether or not the Euclidean path (`segment') between each location pair crosses a barrier.

    - 
    segments_cross_barrier(start, end, barrier, distance = NULL, mobility = NULL)
    +
    + 
    segments_cross_barrier(start, end, barrier, distance = NULL, mobility = NULL)
    +
    -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - -
    start

    A two-column matrix of coordinates that defines the `start' location of each segment.

    end

    A two-column matrix of coordinates that defines the `end' location of each segment.

    barrier

    A simple feature geometry that defines the barrier (see st_intersects).

    distance

    (optional) A raster that defines distances from the barrier. If supplied, mobility is required (see below).

    mobility

    (optional) If distance is supplied, mobility is a number that defines the distance threshold. Location pairs for which both locations are further than mobility from the barrier are assumed not to overlap with the barrier. If start and end are possible locations for an animal at a given pair of time steps, mobility is the distance that the individual could move between time steps (see pf).

    +
    +

    Arguments

    +
    start
    +

    A two-column matrix of coordinates that defines the `start' location of each segment.

    -

    Value

    -

    The function returns a one-column matrix, with each row corresponding to a row in start/end, with a logical value that defines whether or not the Euclidean path segment connecting those two locations crosses the barrier (TRUE) or not (FALSE).

    -

    Edward Lavender

    -

    Details

    +
    end
    +

    A two-column matrix of coordinates that defines the `end' location of each segment.

    -

    This function was motivated by the need to support internal routines in pf_simplify. Specifically, the function is used to minimise the number of shortest-distance calculations that are required by restricting calculations (if applicable) to particle pairs that require movement around a barrier, such as the coastline. (In these cases, Euclidean distances may be poor approximations of shortest distances that an aquatic animal must travel.)

    -

    The function implements a three-step approach to derive barrier overlaps:

      -

    1. The function determines whether or not the minimum convex polygon (i.e., boundary box) around start/end intersects with barrier. If it does not, then no location segments can overlap with the barrier. This step is fast.

      2. -

    2. If the locations' minimum convex polygon intersects with the barrier, and if distance and mobility have been supplied, the function extracts the distance of each location in start and end from the barrier. Location pairs for which both locations are further than mobility from the barrier are dropped. This step is also fast.

      3. -

    3. For any remaining location pairs, the function links each start and end location and determines whether or not each linkage (`segment') intersects with the barrier using sf routines. This step can be slow for large numbers of locations (hence the first two filtering steps).

      4. -
    -

    The following criteria apply to applications of this function:

      -

    1. The number of observations in start and end must match.

      2. -

    2. The coordinate reference system for start, end and barrier must match.

      3. -

    3. If distance is supplied, mobility must also be supplied.

      4. -

    4. The function requires the sf_linestring and st_intersects functions.

      5. -
    +
    barrier
    +

    A simple feature geometry that defines the barrier (see st_intersects).

    + + +
    distance
    +

    (optional) A raster that defines distances from the barrier. If supplied, mobility is required (see below).

    -

    For speed in iterative applications, the function does not check whether or not these criteria are met.

    -

    Examples

    - 
    #### Plot example area and define barrier
-raster::plot(dat_gebco)
-
    raster::lines(dat_coast)
-
    barrier <- sf::st_as_sf(dat_coast)
+
    mobility
    
+
    (optional) If distance is supplied, mobility is a number that defines the distance threshold. Location pairs for which both locations are further than mobility from the barrier are assumed not to overlap with the barrier. If start and end are possible locations for an animal at a given pair of time steps, mobility is the distance that the individual could move between time steps (see pf).
    
 
-#### Example (1): Implement function using barrier only
+
    +
    +

    Value

    + -## Define example starting and ending locations -start <- matrix(c(701854.9, 6260399, - 709202.5, 6258892), ncol = 2, byrow = TRUE) -end <- matrix(c(706753.3, 6264261, - 709673.5, 6257102), ncol = 2, byrow = TRUE) +

    The function returns a one-column matrix, with each row corresponding to a row in start/end, with a logical value that defines whether or not the Euclidean path segment connecting those two locations crosses the barrier (TRUE) or not (FALSE).

    -## Visualise segments -# ... The first segment crosses the coastline (our barrier) -# ... The second segment does not cross the coastline (our barrier) -graphics::arrows(x0 = start[1, 1], y0 = start[1, 2], - x1 = end[1, 1], y1 = end[1, 2]) -
    graphics::arrows(x0 = start[2, 1], y0 = start[2, 2], - x1 = end[2, 1], y1 = end[2, 2]) -
    -## Implement function -segments_cross_barrier(start, end, barrier = barrier) -
    #> [,1] -#> [1,] TRUE -#> [2,] FALSE
    -#### Example (2): Implement function using barrier with distance and mobility -## Define distances from barrier -dat_dist <- raster::rasterize(dat_coast, dat_gebco) -dat_dist <- raster::distance(dat_dist) -
    #> Error in .local(x, y = y, ...): RasterLayer has no NA cells (for which to compute a distance)
    -## Implement function for a specified mobility parameter -segments_cross_barrier(start, end, barrier = barrier, - distance = dat_dist, mobility = 500) -
    #> [,1] -#> [1,] FALSE -#> [2,] FALSE
    -#### Example (3): With many locations, supplying distance improves speed +

    Edward Lavender

    +
    +
    +

    Details

    +

    This function was motivated by the need to support internal routines in pf_simplify. Specifically, the function is used to minimise the number of shortest-distance calculations that are required by restricting calculations (if applicable) to particle pairs that require movement around a barrier, such as the coastline. (In these cases, Euclidean distances may be poor approximations of shortest distances that an aquatic animal must travel.)

    +

    The function implements a three-step approach to derive barrier overlaps:

    1. The function determines whether or not the minimum convex polygon (i.e., boundary box) around start/end intersects with barrier. If it does not, then no location segments can overlap with the barrier. This step is fast.

      2. +

    2. If the locations' minimum convex polygon intersects with the barrier, and if distance and mobility have been supplied, the function extracts the distance of each location in start and end from the barrier. Location pairs for which both locations are further than mobility from the barrier are dropped. This step is also fast.

      3. +

    3. For any remaining location pairs, the function links each start and end location and determines whether or not each linkage (`segment') intersects with the barrier using sf routines. This step can be slow for large numbers of locations (hence the first two filtering steps).

      4. +

    The following criteria apply to applications of this function:

    1. The number of observations in start and end must match.

      2. +

    2. The coordinate reference system for start, end and barrier must match.

      3. +

    3. If distance is supplied, mobility must also be supplied.

      4. +

    4. The function requires the sf_linestring and st_intersects functions.

      5. +

    For speed in iterative applications, the function does not check whether or not these criteria are met.

    +
    -## Sample a large number of random starting/ending locations -start <- raster::sampleRandom(dat_gebco, size = 3000, xy = TRUE)[, 1:2] -
    #> Error in .local(x, size, ...): size <= ncell(x) is not TRUE
    end <- raster::sampleRandom(dat_gebco, size = 3000, xy = TRUE)[, 1:2] -
    #> Error in .local(x, size, ...): size <= ncell(x) is not TRUE
    -## Compare the duration of the function without/with distance included -# The first method without distance is much slower than the second method -# (~0.714 s versus 0.131 s for 3000 locations) -system.time( - int_1 <- segments_cross_barrier(start, end, barrier = barrier) - ) -
    #> user system elapsed -#> 0.015 0.000 0.015
    system.time( - int_2 <- segments_cross_barrier(start, end, barrier = barrier, - distance = dat_dist, mobility = 500) - ) -
    #> user system elapsed -#> 0.004 0.000 0.004
    -## The two approaches return identical solutions: -identical(int_1, int_2) -
    #> [1] FALSE
    -
    +
    +

    Examples

    + 
    #### Plot example area and define barrier
+raster::plot(dat_gebco)
+raster::lines(dat_coast)
+barrier <- sf::st_as_sf(dat_coast)
+
+#### Example (1): Implement function using barrier only
+
+## Define example starting and ending locations
+start <- matrix(c(701854.9, 6260399,
+                  709202.5, 6258892), ncol = 2, byrow = TRUE)
+end <- matrix(c(706753.3, 6264261,
+                709673.5, 6257102), ncol = 2, byrow = TRUE)
+
+## Visualise segments
+# ... The first segment crosses the coastline (our barrier)
+# ... The second segment does not cross the coastline (our barrier)
+graphics::arrows(x0 = start[1, 1], y0 = start[1, 2],
+                 x1 = end[1, 1], y1 = end[1, 2])
+graphics::arrows(x0 = start[2, 1], y0 = start[2, 2],
+                 x1 = end[2, 1], y1 = end[2, 2])
+
+
+## Implement function
+segments_cross_barrier(start, end, barrier = barrier)
+#>       [,1]
+#> [1,]  TRUE
+#> [2,] FALSE
+
+#### Example (2): Implement function using barrier with distance and mobility
+
+## Define distances from barrier
+dat_dist <- raster::rasterize(dat_coast, dat_gebco)
+dat_dist <- raster::distance(dat_dist)
+#> Error in .local(x, y = y, ...): RasterLayer has no NA cells (for which to compute a distance)
+
+## Implement function for a specified mobility parameter
+segments_cross_barrier(start, end, barrier = barrier,
+                       distance = dat_dist, mobility = 500)
+#>       [,1]
+#> [1,] FALSE
+#> [2,] FALSE
+
+#### Example (3): With many locations, supplying distance improves speed
+
+## Sample a large number of random starting/ending locations
+start <- raster::sampleRandom(dat_gebco, size = 3000, xy = TRUE)[, 1:2]
+#> Error in .local(x, size, ...): size <= ncell(x) is not TRUE
+end   <- raster::sampleRandom(dat_gebco, size = 3000, xy = TRUE)[, 1:2]
+#> Error in .local(x, size, ...): size <= ncell(x) is not TRUE
+
+## Compare the duration of the function without/with distance included
+# The first method without distance is much slower than the second method
+# (~0.714 s versus 0.131 s for 3000 locations)
+system.time(
+  int_1 <- segments_cross_barrier(start, end, barrier = barrier)
+  )
+#>    user  system elapsed 
+#>    0.02    0.00    0.02 
+system.time(
+  int_2 <- segments_cross_barrier(start, end, barrier = barrier,
+                                  distance = dat_dist, mobility = 500)
+  )
+#>    user  system elapsed 
+#>   0.005   0.000   0.005 
+
+## The two approaches return identical solutions:
+identical(int_1, int_2)
+#> [1] FALSE
+
+
    +
    +
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    -
    - -
    - -
    +

    Simulate (marine) monitoring arrays

    - Source: R/sims.R + Source: R/sims.R
    @@ -123,233 +65,325 @@

    Simulate (marine) monitoring arrays

    This function is designed to simulate different kinds of array designs for monitoring stations. The function has been particularly inspired by the need to simulate passive acoustic telemetry array designs, which comprise networks of acoustic hydrophones that listen for acoustic transmissions from tagged marine animals. To implement the function, it is necessary to define the boundaries of the area (boundaries). Barriers to movement, such as coastline, within this area can be simulated or included from real datasets. The area is populated with a specified number of receivers (n_receivers) that are simulated under different array designs (namely, regular, random, stratified, non-aligned, hexagonal and clustered arrangements) or incorporated from real data. The function returns a list of spatial objects that define the array and, if requested, a plot of the area.

    - 
    sim_array(
-  boundaries = raster::extent(-10, 10, -10, 10),
-  coastline = NULL,
-  land_inside_coastline = TRUE,
-  n_receivers = 10L,
-  arrangement = "random",
-  seed = NULL,
-  plot = TRUE,
-  xlim = NULL,
-  ylim = NULL,
-  add_sea = NULL,
-  add_land = NULL,
-  add_receivers = list(),
-  verbose = TRUE,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    boundaries

    An extent object that defines the boundaries of the (simulated) study area.

    coastline

    (optional) This argument is used to incorporate the presence of barriers, such as coastline, in the area. There are three options. If coastline = NULL, no barriers are incorporated. If coastline = "simple_random", then a triangular island is simulated in the study area. Alternatively, a spatial object, such as a SpatialPolygonsDataFrame, that defines the coastline in an area can be incorporated into the array design by passing this coastline.

    land_inside_coastline

    A logical variable that defines whether or not the land is `inside' the polygon(s) defined by coastline (land_inside_coastline = TRUE) or the sea is `inside' the polygon(s) (land_inside_coastline = FALSE).

    n_receivers

    An integer that defines the number of receivers in the array. This is ignored if receiver locations are specified via arrangement.

    arrangement, ...

    A character string or a SpatialPoints object that defines the arrangement of receivers. Supported character string options for simulated arrays are "regular", "random", "stratified", "nonaligned", "hexagonal" and "clustered" (see spsample, which is used to simulate receiver locations). Additional arguments can be passed to this function via ... for further control. Otherwise, a SpatialPoints object that defines the coordinates of receivers (in the same coordinate reference system as boundaries and, if applicable, coastline) is assumed to have been provided.

    seed

    An integer that is used to set the seed to enable reproducible simulations (see set.seed).

    plot

    A logical variable that defines whether or not plot the array (via pretty_map).

    xlim, ylim

    (optional) Axis limits for the plot. These can be specified in any way supported by pretty_axis.

    add_sea, add_land, add_receivers

    (optional) Named lists of arguments, passed to pretty_map, to customise the appearance of the sea, land and/or receivers on the plot. add_* = NULL suppresses the addition of the layer to the plot. To use the default graphical parameters, simply specify add_* = list().

    verbose

    A logical variable that defines whether or not to print messages to the console to relay function progress.

    - -

    Value

    - -

    The function returns a named list of (a) the spatial objects that define the simulated array (`array') and (b) the arguments used to generate this array (`args'). The `array' element is a named list contains the following elements: `boundaries', an Extent-class object that defines the boundaries of the area (as inputted); `area', a SpatialPolygons-class object that defines the boundaries of the area; `land' and `sea', SpatialPolygons-class or SpatialPolygonsDataFrame-class objects that define the land and sea respectively; and `xy', a SpatialPoints-class object that defines receiver locations. If plot = TRUE, the function also returns a plot of the array.

    -

    Details

    +
    + 
    sim_array(
+  boundaries = raster::extent(-10, 10, -10, 10),
+  coastline = NULL,
+  land_inside_coastline = TRUE,
+  n_receivers = 10L,
+  arrangement = "random",
+  seed = NULL,
+  plot = TRUE,
+  xlim = NULL,
+  ylim = NULL,
+  add_sea = NULL,
+  add_land = NULL,
+  add_receivers = list(),
+  verbose = TRUE,
+  ...
+)
    +
    + +
    +

    Arguments

    +
    boundaries
    +

    An extent object that defines the boundaries of the (simulated) study area.

    + + +
    coastline
    +

    (optional) This argument is used to incorporate the presence of barriers, such as coastline, in the area. There are three options. If coastline = NULL, no barriers are incorporated. If coastline = "simple_random", then a triangular island is simulated in the study area. Alternatively, a spatial object, such as a SpatialPolygonsDataFrame, that defines the coastline in an area can be incorporated into the array design by passing this coastline.

    + + +
    land_inside_coastline
    +

    A logical variable that defines whether or not the land is `inside' the polygon(s) defined by coastline (land_inside_coastline = TRUE) or the sea is `inside' the polygon(s) (land_inside_coastline = FALSE).

    + + +
    n_receivers
    +

    An integer that defines the number of receivers in the array. This is ignored if receiver locations are specified via arrangement.

    + + +
    arrangement, ...
    +

    A character string or a SpatialPoints object that defines the arrangement of receivers. Supported character string options for simulated arrays are "regular", "random", "stratified", "nonaligned", "hexagonal" and "clustered" (see spsample, which is used to simulate receiver locations). Additional arguments can be passed to this function via ... for further control. Otherwise, a SpatialPoints object that defines the coordinates of receivers (in the same coordinate reference system as boundaries and, if applicable, coastline) is assumed to have been provided.

    + + +
    seed
    +

    An integer that is used to set the seed to enable reproducible simulations (see set.seed).

    -

    Note that this function does not currently support temporally varying array designs.

    -

    For coupled simulation--analysis workflows (such as sim_array, sim_path_sa and sim_detections plus ac, dc, acdc and pf) note that the representation of the coastline as SpatialPolygons-class or SpatialPolygonsDataFrame-class objects by the sim_* functions, rather than a raster grid, may be problematic at the land--sea interface if the Spatial* data used for the simulation do not agree precisely with the raster data used to reconstruct movements: locations that are `allowed' from the perspective of the Spatial* data may not be allowed by the raster data (and vice versa). At the time of writing, this can be resolved by simply checking simulated array positions in relation to the grid across which movements are reconstructed. Receiver locations should also be translated onto the raster before simulating detections (see sim_detections). In the future, this should be resolved by defining simulation areas across a raster too (see also acs_setup_containers).

    -

    See also

    -

    sim_array, sim_path_* and sim_detections provide an integrated workflow for simulating acoustic arrays, movement paths in these areas and detections at receivers arising from movement.

    -

    Author

    +
    plot
    +

    A logical variable that defines whether or not plot the array (via pretty_map).

    + +
    xlim, ylim
    +

    (optional) Axis limits for the plot. These can be specified in any way supported by pretty_axis.

    + + +
    add_sea, add_land, add_receivers
    +

    (optional) Named lists of arguments, passed to pretty_map, to customise the appearance of the sea, land and/or receivers on the plot. add_* = NULL suppresses the addition of the layer to the plot. To use the default graphical parameters, simply specify add_* = list().

    + + +
    verbose
    +

    A logical variable that defines whether or not to print messages to the console to relay function progress.

    + +
    +
    +

    Value

    + + +

    The function returns a named list of (a) the spatial objects that define the simulated array (`array') and (b) the arguments used to generate this array (`args'). The `array' element is a named list contains the following elements: `boundaries', an Extent-class object that defines the boundaries of the area (as inputted); `area', a SpatialPolygons-class object that defines the boundaries of the area; `land' and `sea', SpatialPolygons-class or SpatialPolygonsDataFrame-class objects that define the land and sea respectively; and `xy', a SpatialPoints-class object that defines receiver locations. If plot = TRUE, the function also returns a plot of the array.

    +
    +
    +

    Details

    +

    Note that this function does not currently support temporally varying array designs.

    +

    For coupled simulation--analysis workflows (such as sim_array, sim_path_sa and sim_detections plus ac, dc, acdc and pf) note that the representation of the coastline as SpatialPolygons-class or SpatialPolygonsDataFrame-class objects by the sim_* functions, rather than a raster grid, may be problematic at the land--sea interface if the Spatial* data used for the simulation do not agree precisely with the raster data used to reconstruct movements: locations that are `allowed' from the perspective of the Spatial* data may not be allowed by the raster data (and vice versa). At the time of writing, this can be resolved by simply checking simulated array positions in relation to the grid across which movements are reconstructed. Receiver locations should also be translated onto the raster before simulating detections (see sim_detections). In the future, this should be resolved by defining simulation areas across a raster too (see also acs_setup_containers).

    +
    +
    +

    See also

    +

    sim_array, sim_path_* and sim_detections provide an integrated workflow for simulating acoustic arrays, movement paths in these areas and detections at receivers arising from movement.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Simulate an array using default parameters
-# ... And force reproducible simulations by defining the seed
-array <- sim_array(boundaries = raster::extent(-10, 10, -10, 10),
-                   seed = 1)
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:21)... 
-#> ... Defining area... 
    #> CRS of area is NA.
    #> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
-#> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:21) after ~0 minutes. 
    
-#### Example (2): Simulate coastline and customise plot
-# ... via add_land and add_sea
-array <- sim_array(boundaries = raster::extent(-10, 10, -10, 10),
-                   coastline = "simple_random",
-                   add_land = list(col = "darkgreen"),
-                   add_sea = list(col = scales::alpha("skyblue", 0.2)),
-                   seed = 1
-                   )
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:21)... 
-#> ... Defining area... 
    #> CRS of area is NA.
    #> ... Incorporating coastline... 
-#> ... ... Simulating coastline... 
    #> Warning: less than 4 coordinates in polygon
    #> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
-#> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:21) after ~0 minutes. 
    
-#### Example (3): Add custom coastline
-array <- sim_array(boundaries = raster::extent(dat_coast),
-                   coastline = dat_coast,
-                   add_land = list(col = "darkgreen"),
-                   add_sea = list(col = scales::alpha("skyblue", 0.2)),
-                   seed = 1
-                   )
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:21)... 
-#> ... Defining area... 
-#> ... Incorporating coastline... 
-#> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:21) after ~0 minutes. 
    
-#### Example (4): Change the number of receivers
-array <- sim_array(n_receivers = 5)
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:21)... 
-#> ... Defining area... 
    #> CRS of area is NA.
    #> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
-#> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:21) after ~0 minutes. 
    array <- sim_array(n_receivers = 25)
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:21)... 
-#> ... Defining area... 
    #> CRS of area is NA.
    #> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
-#> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:21) after ~0 minutes. 
    
-#### Example (5): Change the arrangement of receivers
-## Explore different arrangements
-array <- sim_array(n_receivers = 25, arrangement = "random")
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:21)... 
-#> ... Defining area... 
    #> CRS of area is NA.
    #> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
-#> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:21) after ~0 minutes. 
    array <- sim_array(n_receivers = 25, arrangement = "regular")
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:21)... 
-#> ... Defining area... 
    #> CRS of area is NA.
    #> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
-#> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:21) after ~0 minutes. 
    array <- sim_array(n_receivers = 25, arrangement = "clustered", nclusters = 5)
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:21)... 
-#> ... Defining area... 
    #> CRS of area is NA.
    #> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
-#> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:21) after ~0 minutes. 
    array <- sim_array(n_receivers = 25, arrangement = "stratified")
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:21)... 
-#> ... Defining area... 
    #> CRS of area is NA.
    #> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
-#> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:21) after ~0 minutes. 
    array <- sim_array(n_receivers = 25, arrangement = "nonaligned")
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:21)... 
-#> ... Defining area... 
    #> CRS of area is NA.
    #> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
-#> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:21) after ~0 minutes. 
    array <- sim_array(n_receivers = 25, arrangement = "hexagonal")
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:21)... 
-#> ... Defining area... 
    #> CRS of area is NA.
    #> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
-#> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:21) after ~0 minutes. 
    ## Force arrangements around coastline
-# Simulated island
-array <- sim_array(n_receivers = 25,
-                   coastline = "simple_random",
-                   arrangement = "regular",
-                   add_land = list())
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:21)... 
-#> ... Defining area... 
    #> CRS of area is NA.
    #> ... Incorporating coastline... 
-#> ... ... Simulating coastline... 
    #> Warning: less than 4 coordinates in polygon
    #> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
-#> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:21) after ~0 minutes. 
    # Real coastline
-array <- sim_array(boundaries = raster::extent(dat_coast),
-                   n_receivers = 25,
-                   coastline = dat_coast,
-                   arrangement = "regular",
-                   add_land = list())
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:21)... 
-#> ... Defining area... 
-#> ... Incorporating coastline... 
-#> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:21) after ~0 minutes. 
    ## Incorporate custom arrangements
-# Define receiver locations as a SpatialPoints object with a UTM CRS
-# ... to match other spatial datasets
-proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
-proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
-xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
-                        proj_wgs84)
-xy <- sp::spTransform(xy, proj_utm)
-# Make array
-array <- sim_array(boundaries = raster::extent(dat_coast),
-                   coastline = dat_coast,
-                   arrangement = xy,
-                   add_land = list()
-                   )
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:21)... 
-#> ... Defining area... 
-#> ... Incorporating coastline... 
-#> ... Incorporating receivers... 
-#> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:21) after ~0 minutes. 
    
-
    +
    +

    Examples

    + 
    #### Example (1): Simulate an array using default parameters
+# ... And force reproducible simulations by defining the seed
+array <- sim_array(boundaries = raster::extent(-10, 10, -10, 10),
+                   seed = 1)
+#> flapper::sim_array() called (@ 2023-02-19 15:04:47)... 
+#> ... Defining area... 
+#> CRS of area is NA.
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:47) after ~0 minutes. 
+
+#### Example (2): Simulate coastline and customise plot
+# ... via add_land and add_sea
+array <- sim_array(boundaries = raster::extent(-10, 10, -10, 10),
+                   coastline = "simple_random",
+                   add_land = list(col = "darkgreen"),
+                   add_sea = list(col = scales::alpha("skyblue", 0.2)),
+                   seed = 1
+                   )
+#> flapper::sim_array() called (@ 2023-02-19 15:04:47)... 
+#> ... Defining area... 
+#> CRS of area is NA.
+#> ... Incorporating coastline... 
+#> ... ... Simulating coastline... 
+#> Warning: less than 4 coordinates in polygon
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:47) after ~0 minutes. 
+
+#### Example (3): Add custom coastline
+array <- sim_array(boundaries = raster::extent(dat_coast),
+                   coastline = dat_coast,
+                   add_land = list(col = "darkgreen"),
+                   add_sea = list(col = scales::alpha("skyblue", 0.2)),
+                   seed = 1
+                   )
+#> flapper::sim_array() called (@ 2023-02-19 15:04:47)... 
+#> ... Defining area... 
+#> ... Incorporating coastline... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:47) after ~0 minutes. 
+
+#### Example (4): Change the number of receivers
+array <- sim_array(n_receivers = 5)
+#> flapper::sim_array() called (@ 2023-02-19 15:04:47)... 
+#> ... Defining area... 
+#> CRS of area is NA.
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:47) after ~0 minutes. 
+array <- sim_array(n_receivers = 25)
+#> flapper::sim_array() called (@ 2023-02-19 15:04:47)... 
+#> ... Defining area... 
+#> CRS of area is NA.
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:47) after ~0 minutes. 
+
+#### Example (5): Change the arrangement of receivers
+## Explore different arrangements
+array <- sim_array(n_receivers = 25, arrangement = "random")
+#> flapper::sim_array() called (@ 2023-02-19 15:04:47)... 
+#> ... Defining area... 
+#> CRS of area is NA.
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:47) after ~0 minutes. 
+array <- sim_array(n_receivers = 25, arrangement = "regular")
+#> flapper::sim_array() called (@ 2023-02-19 15:04:47)... 
+#> ... Defining area... 
+#> CRS of area is NA.
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:47) after ~0 minutes. 
+array <- sim_array(n_receivers = 25, arrangement = "clustered", nclusters = 5)
+#> flapper::sim_array() called (@ 2023-02-19 15:04:47)... 
+#> ... Defining area... 
+#> CRS of area is NA.
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:47) after ~0 minutes. 
+array <- sim_array(n_receivers = 25, arrangement = "stratified")
+#> flapper::sim_array() called (@ 2023-02-19 15:04:47)... 
+#> ... Defining area... 
+#> CRS of area is NA.
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:47) after ~0 minutes. 
+array <- sim_array(n_receivers = 25, arrangement = "nonaligned")
+#> flapper::sim_array() called (@ 2023-02-19 15:04:47)... 
+#> ... Defining area... 
+#> CRS of area is NA.
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:47) after ~0 minutes. 
+array <- sim_array(n_receivers = 25, arrangement = "hexagonal")
+#> flapper::sim_array() called (@ 2023-02-19 15:04:47)... 
+#> ... Defining area... 
+#> CRS of area is NA.
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:47) after ~0 minutes. 
+## Force arrangements around coastline
+# Simulated island
+array <- sim_array(n_receivers = 25,
+                   coastline = "simple_random",
+                   arrangement = "regular",
+                   add_land = list())
+#> flapper::sim_array() called (@ 2023-02-19 15:04:47)... 
+#> ... Defining area... 
+#> CRS of area is NA.
+#> ... Incorporating coastline... 
+#> ... ... Simulating coastline... 
+#> Warning: less than 4 coordinates in polygon
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> Spatial layers do not have identical CRS strings
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:47) after ~0 minutes. 
+# Real coastline
+array <- sim_array(boundaries = raster::extent(dat_coast),
+                   n_receivers = 25,
+                   coastline = dat_coast,
+                   arrangement = "regular",
+                   add_land = list())
+#> flapper::sim_array() called (@ 2023-02-19 15:04:47)... 
+#> ... Defining area... 
+#> ... Incorporating coastline... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:47) after ~0 minutes. 
+## Incorporate custom arrangements
+# Define receiver locations as a SpatialPoints object with a UTM CRS
+# ... to match other spatial datasets
+proj_wgs84 <- sp::CRS(SRS_string = "EPSG:4326")
+proj_utm   <- sp::CRS(SRS_string = "EPSG:32629")
+xy <- sp::SpatialPoints(dat_moorings[, c("receiver_long", "receiver_lat")],
+                        proj_wgs84)
+xy <- sp::spTransform(xy, proj_utm)
+# Make array
+array <- sim_array(boundaries = raster::extent(dat_coast),
+                   coastline = dat_coast,
+                   arrangement = xy,
+                   add_land = list()
+                   )
+#> flapper::sim_array() called (@ 2023-02-19 15:04:47)... 
+#> ... Defining area... 
+#> ... Incorporating coastline... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Incorporating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:47) after ~0 minutes. 
+
+
    +
    +
    - - - + + diff --git a/docs/reference/sim_detections-1.png b/docs/reference/sim_detections-1.png index b9f64e9..239dbc9 100644 Binary files a/docs/reference/sim_detections-1.png and b/docs/reference/sim_detections-1.png differ diff --git a/docs/reference/sim_detections-2.png b/docs/reference/sim_detections-2.png index e285a16..58730da 100644 Binary files a/docs/reference/sim_detections-2.png and b/docs/reference/sim_detections-2.png differ diff --git a/docs/reference/sim_detections-3.png b/docs/reference/sim_detections-3.png index 92a447c..69f0363 100644 Binary files a/docs/reference/sim_detections-3.png and b/docs/reference/sim_detections-3.png differ diff --git a/docs/reference/sim_detections-4.png b/docs/reference/sim_detections-4.png index 3538faf..b437f83 100644 Binary files a/docs/reference/sim_detections-4.png and b/docs/reference/sim_detections-4.png differ diff --git a/docs/reference/sim_detections-5.png b/docs/reference/sim_detections-5.png index 5419500..103ddf7 100644 Binary files a/docs/reference/sim_detections-5.png and b/docs/reference/sim_detections-5.png differ diff --git a/docs/reference/sim_detections-6.png b/docs/reference/sim_detections-6.png index cb95a0d..b564bed 100644 Binary files a/docs/reference/sim_detections-6.png and b/docs/reference/sim_detections-6.png differ diff --git a/docs/reference/sim_detections-7.png b/docs/reference/sim_detections-7.png index 6a64a3d..8775666 100644 Binary files a/docs/reference/sim_detections-7.png and b/docs/reference/sim_detections-7.png differ diff --git a/docs/reference/sim_detections.html b/docs/reference/sim_detections.html index adda030..e8fabd0 100644 --- a/docs/reference/sim_detections.html +++ b/docs/reference/sim_detections.html @@ -1,67 +1,12 @@ - - - - - - - -Simulate detections — sim_detections • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Simulate detections — sim_detections • flapper + + - - - - -
    -
    - -
    - -
    +

    Simulate detections

    - Source: R/sims.R + Source: R/sims.R
    @@ -123,253 +65,285 @@

    Simulate detections

    This function simulates detections at passive acoustic telemetry receivers under a detection model that depends on distance. To implement the function, the underlying movement path that gives rise to detections (or not) must be supplied (via path) along with the locations of receivers (xy) at which detections can be made. At each point along the movement path (i.e., time step), the function calculates the distances from that point to all of the receivers and evaluates a user-supplied detection probability function, based on distance, to determine detection probability at each receiver. The function then simulates binary detection outcomes from a binomial distribution conditional on this probability, and returns these in a matrix with one simulated outcome for each time step and receiver.

    - 
    sim_detections(
-  path,
-  xy,
-  crs = NA,
-  calc_detection_pr,
-  by_timestep = FALSE,
-  delta_t = NULL,
-  seed = NULL,
-  plot = TRUE,
-  jitter = function(n) stats::rnorm(n, 0, 0.05),
-  add_prob = list(col = "royalblue", pch = 3, cex = 0.5),
-  xlim = c(0, 1000),
-  verbose = TRUE,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    path

    A two-column matrix of the coordinates of the movement path (x, y).

    xy

    A two-column matrix of the coordinates of receivers (x, y).

    crs

    A CRS object that defines the coordinate reference system (CRS) for path and xy (if applicable).

    calc_detection_pr

    A function that takes in a vector of distances and returns a vector of detection probabilities.

    by_timestep

    A logical variable that defines whether or not calc_detection_pr needs to be applied to each time step separately. This may be necessary if some of the parameters of the detection model are vectors (see Examples).

    delta_t

    (optional) An integer that defines the number of time steps over which to aggregate detections. If provided, detections are summed over each delta_t interval and returned along with averaged distances and probabilities (see Value).

    seed

    An integer that is used to set the seed to enable reproducible simulations (see set.seed).

    plot

    A logical variable that defines whether or not to plot detections (and probabilities) against distances.

    jitter, add_prob, xlim, ...

    Plot customisation options. jitter is a function that jitters n simulated outcomes (0, 1) in the vertical direction. add_prob is a named list of arguments, passed to points, used to customise the addition of calculated probabilities to the plot. (add_prob = NULL suppresses the addition of probabilities to the plot.) xlim is a vector of x axis limits. By default, xlim = c(0, 1000) to improve resolution in the area of the plot that is of interest (under a Universal Transverse Mercator CRS, for most realistic detection probability functions, detection probability beyond 1000 will be negligible) and plotting speed. Additional arguments can be passed to pretty_plot to customise the plot via ....

    verbose

    A logical variable that defines whether or not to print messages to the console to relay function progress.

    - -

    Value

    - -

    If delta_t = NULL, then function returns a named list with three matrices that define, for each path position (rows) and each receiver (columns), (a) the distance of that position from each receiver (`dist_mat'), (b) the probability of detection at that receiver (`prob_mat') and (c) the simulated outcome (0, no detection; 1, detection) (`det_mat'). If delta_t is specified, then the function returns a list with a `raw' and an `agg' element. The raw elements contains the matrices described above; the `agg' element contains the aggregated versions of these matrices, with detections summed over each delta_t interval and distances and probabilities averaged (using the arithmetic mean) over each interval. If plot = TRUE, the function also returns a plot of the (raw) detections (0, 1) and, if specified, the corresponding probabilities.

    -

    Details

    +
    + 
    sim_detections(
+  path,
+  xy,
+  crs = NA,
+  calc_detection_pr,
+  by_timestep = FALSE,
+  delta_t = NULL,
+  seed = NULL,
+  plot = TRUE,
+  jitter = function(n) stats::rnorm(n, 0, 0.05),
+  add_prob = list(col = "royalblue", pch = 3, cex = 0.5),
+  xlim = c(0, 1000),
+  verbose = TRUE,
+  ...
+)
    +
    + +
    +

    Arguments

    +
    path
    +

    A two-column matrix of the coordinates of the movement path (x, y).

    + + +
    xy
    +

    A two-column matrix of the coordinates of receivers (x, y).

    + + +
    crs
    +

    A CRS object that defines the coordinate reference system (CRS) for path and xy (if applicable).

    + + +
    calc_detection_pr
    +

    A function that takes in a vector of distances and returns a vector of detection probabilities.

    + + +
    by_timestep
    +

    A logical variable that defines whether or not calc_detection_pr needs to be applied to each time step separately. This may be necessary if some of the parameters of the detection model are vectors (see Examples).

    + + +
    delta_t
    +

    (optional) An integer that defines the number of time steps over which to aggregate detections. If provided, detections are summed over each delta_t interval and returned along with averaged distances and probabilities (see Value).

    -

    The function assumes that the individual transmits an acoustic signal which has the capacity to be detected at each time step. In reality, acoustic transmitters are often programmed with a randomly varying delay, but this is not currently implemented. The function also assumes that all receivers that are supplied are able to make detections. If the receivers at which an individual could be detected change over time, it may be necessary to apply the function iteratively or post-process the outcomes to ensure that individuals are not detected at inactive receivers.

    -

    For coupled simulation--analysis workflows (such as sim_array, sim_path_sa and sim_detections plus ac, dc, acdc and pf), it is important that receiver locations (from sim_array) and individual locations (from sim_path_sa) are represented on the raster grid used to reconstruct simulated movements before simulating detections. Receiver locations and movement distances must remain admissible according to the movement model when translated on the grid. Grid resolution should be sufficiently high to represent effectively simulated movement probabilities and detection probabilities.

    -

    See also

    -

    sim_array, sim_path_* and sim_detections provide an integrated workflow for simulating acoustic arrays, movement paths in these areas and detections at receivers arising from movement. To convert the detection matrix to dataframe, see make_df_detections.

    -

    Author

    +
    seed
    +

    An integer that is used to set the seed to enable reproducible simulations (see set.seed).

    + +
    plot
    +

    A logical variable that defines whether or not to plot detections (and probabilities) against distances.

    + + +
    jitter, add_prob, xlim, ...
    +

    Plot customisation options. jitter is a function that jitters n simulated outcomes (0, 1) in the vertical direction. add_prob is a named list of arguments, passed to points, used to customise the addition of calculated probabilities to the plot. (add_prob = NULL suppresses the addition of probabilities to the plot.) xlim is a vector of x axis limits. By default, xlim = c(0, 1000) to improve resolution in the area of the plot that is of interest (under a Universal Transverse Mercator CRS, for most realistic detection probability functions, detection probability beyond 1000 will be negligible) and plotting speed. Additional arguments can be passed to pretty_plot to customise the plot via ....

    + + +
    verbose
    +

    A logical variable that defines whether or not to print messages to the console to relay function progress.

    + +
    +
    +

    Value

    + + +

    If delta_t = NULL, then function returns a named list with three matrices that define, for each path position (rows) and each receiver (columns), (a) the distance of that position from each receiver (`dist_mat'), (b) the probability of detection at that receiver (`prob_mat') and (c) the simulated outcome (0, no detection; 1, detection) (`det_mat'). If delta_t is specified, then the function returns a list with a `raw' and an `agg' element. The raw elements contains the matrices described above; the `agg' element contains the aggregated versions of these matrices, with detections summed over each delta_t interval and distances and probabilities averaged (using the arithmetic mean) over each interval. If plot = TRUE, the function also returns a plot of the (raw) detections (0, 1) and, if specified, the corresponding probabilities.

    +
    +
    +

    Details

    +

    The function assumes that the individual transmits an acoustic signal which has the capacity to be detected at each time step. In reality, acoustic transmitters are often programmed with a randomly varying delay, but this is not currently implemented. The function also assumes that all receivers that are supplied are able to make detections. If the receivers at which an individual could be detected change over time, it may be necessary to apply the function iteratively or post-process the outcomes to ensure that individuals are not detected at inactive receivers.

    +

    For coupled simulation--analysis workflows (such as sim_array, sim_path_sa and sim_detections plus ac, dc, acdc and pf), it is important that receiver locations (from sim_array) and individual locations (from sim_path_sa) are represented on the raster grid used to reconstruct simulated movements before simulating detections. Receiver locations and movement distances must remain admissible according to the movement model when translated on the grid. Grid resolution should be sufficiently high to represent effectively simulated movement probabilities and detection probabilities.

    +
    +
    +

    See also

    +

    sim_array, sim_path_* and sim_detections provide an integrated workflow for simulating acoustic arrays, movement paths in these areas and detections at receivers arising from movement. To convert the detection matrix to dataframe, see make_df_detections.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Step (1) Simulate an array in an area
-array_ls <- sim_array(boundaries = raster::extent(dat_coast),
-                      coastline = dat_coast,
-                      n_receivers = 100,
-                      arrangement = "regular",
-                      seed = 1)
-
    #> flapper::sim_array() called (@ 2022-06-17 10:08:22)... 
-#> ... Defining area... 
-#> ... Incorporating coastline... 
-#> ... Incorporating receivers... 
-#> ... ... Simulating receivers... 
    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> ... Plotting array... 
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> ... Defining outputs... 
-#> ... flapper::sim_array() call completed (@ 2022-06-17 10:08:22) after ~0 minutes. 
    raster::lines(dat_coast)
-
    
-#### Step (2) Simulate a movement path in this area
-n <- 500
-path_ls <- sim_path_sa(n = n,
-                       sim_step = function(...) stats::rgamma(1, shape = 25, scale = 25),
-                       area = array_ls$array$sea,
-                       seed = 1,
-                       plot = FALSE
-                       )
-
    #> flapper::sim_path_sa() called (@ 2022-06-17 10:08:22)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> 
  |                                                                            
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    #> Warning: CRS object has comment, which is lost in output; in tests, see
-#> https://cran.r-project.org/web/packages/sp/vignettes/CRS_warnings.html
    #> 
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  |======================================================================| 100%... flapper::sim_path_sa() call completed (@ 2022-06-17 10:08:24) after ~0.02 minutes. 
    prettyGraphics::add_sp_path(path_ls$xy_mat, col = viridis::viridis(n), length = 0.02)
-
    
-#### Step (3) Simulate detections
-## (A) Extract path and receiver coordinates from simulated outcomes above
-path <- path_ls$xy_mat
-xy   <- array_ls$array$xy
-xy   <- sp::coordinates(xy)
-## (B) Simulate detections under different probability functions (see below).
-
-#### Example (1) Threshold probability function
-# Define detection pr function
-calc_detection_pr <- function(dist) ifelse(dist < 425, 1, 0)
-# Simulate detections
-dets_sim <- sim_detections(path = path,
-                           xy = xy,
-                           calc_detection_pr = calc_detection_pr)
-
    #> flapper::sim_detections() called (@ 2022-06-17 10:08:24)... 
-#> ... Setting up simulation... 
-#> ... Calculating distances... 
-#> ... Calculating probabilities... 
-#> ... Simulating detections... 
-#> ... Plotting detections... 
    #> ... flapper::simulate_detections() call completed (@ 2022-06-17 10:08:24) after ~0 minutes. 
    # The function returns a list of matrices that define the distances,
-# ... probabilities and detections for each time stamp (row) and each receiver
-# ... (column)
-utils::str(dets_sim)
-
    #> List of 3
-#>  $ dist_mat: num [1:500, 1:116] 19067 18554 18094 17367 16872 ...
-#>  $ prob_mat: num [1:500, 1:116] 0 0 0 0 0 0 0 0 0 0 ...
-#>  $ det_mat : int [1:500, 1:116] 0 0 0 0 0 0 0 0 0 0 ...
    # Examine probabilities
-table(dets_sim$prob_mat)
-
    #> 
-#>     0     1 
-#> 57852   148 
    # We can also aggregate detections via delta_t
-dets_sim <- sim_detections(path = path,
-                           xy = xy,
-                           calc_detection_pr = calc_detection_pr,
-                           delta_t = 10)
-
    #> flapper::sim_detections() called (@ 2022-06-17 10:08:24)... 
-#> ... Setting up simulation... 
-#> ... Calculating distances... 
-#> ... Calculating probabilities... 
-#> ... Simulating detections... 
-#> ... Plotting detections... 
    #> ... summarising detections over delta t... 
-#> ... flapper::simulate_detections() call completed (@ 2022-06-17 10:08:24) after ~0 minutes. 
    # In this case, the function returns a list with 'agg' and 'raw' elements
-# ... The 'agg' elements contain aggregated matrices and the 'raw' elements
-# ... contain the matrices described above.
-utils::str(dets_sim)
-
    #> List of 2
-#>  $ agg:List of 3
-#>   ..$ dist_mat: num [1:50, 1:116] 173735 163252 172967 184119 163313 ...
-#>   ..$ prob_mat: num [1:50, 1:116] 0 0 0 0 0 0 0 0 0 0 ...
-#>   ..$ det_mat : num [1:50, 1:116] 0 0 0 0 0 0 0 0 0 0 ...
-#>  $ raw:List of 3
-#>   ..$ dist_mat_raw: num [1:500, 1:116] 19067 18554 18094 17367 16872 ...
-#>   ..$ prob_mat_raw: num [1:500, 1:116] 0 0 0 0 0 0 0 0 0 0 ...
-#>   ..$ det_mat_raw : int [1:500, 1:116] 0 0 0 0 0 0 0 0 0 0 ...
    table(dets_sim$raw$det_mat)
-
    #> 
-#>     0     1 
-#> 57852   148 
    table(dets_sim$agg$det_mat)
-
    #> 
-#>    0    1    2    3    4 
-#> 5701   61   29    7    2 
    
-#### Example (2) Logistic probability function
-calc_detection_pr <- function(dist) stats::plogis(2.5 + -0.01 * dist)
-dets_sim <- sim_detections(path = path,
-                           xy = xy,
-                           calc_detection_pr = calc_detection_pr)
-
    #> flapper::sim_detections() called (@ 2022-06-17 10:08:24)... 
-#> ... Setting up simulation... 
-#> ... Calculating distances... 
-#> ... Calculating probabilities... 
-#> ... Simulating detections... 
-#> ... Plotting detections... 
    #> ... flapper::simulate_detections() call completed (@ 2022-06-17 10:08:25) after ~0.01 minutes. 
    
-#### Example (3) Spatially varying probability function
-# Define spatially varying beta parameter (e.g., reflecting 2 habitat types)
-area <- array_ls$array$area
-area_r <- raster::raster(x = raster::extent(area),
-                         crs = raster::crs(area))
-area_r[] <- 0L
-beta_surface <- sim_surface(blank = area_r,
-                            n = 2L,
-                            sim_values = list(function(n) -0.05,
-                                              function(n) -0.01),
-                            mask = array_ls$array$sea)
-
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    # Extract receiver specific beta values
-xy_sp <- sp::SpatialPoints(xy, proj4string = raster::crs(area_r))
-beta <- raster::extract(beta_surface, xy_sp)
-# Visualise simulated detection probability surface at some suitable distances
-pp <- graphics::par(mfrow = c(2, 2))
-lapply(c(0, 50, 100, 500), function(dist){
-  r <- raster::calc(beta_surface, function(beta) stats::plogis(2.5 + beta * dist))
-  raster::plot(r)
-})
-
    #> [[1]]
-#> NULL
-#> 
-#> [[2]]
-#> NULL
-#> 
-#> [[3]]
-#> NULL
-#> 
-#> [[4]]
-#> NULL
-#> 
    graphics::par(pp)
-# Define detection probability function
-calc_detection_pr <- function(dist) stats::plogis(2.5 + beta * dist)
-# Simulate detections
-# ... Define by_timestep = TRUE so that that distances from each receiver
-# ... are combined appropriately with beta values for each receiver
-dets_sim <- sim_detections(path = path,
-                           xy = xy,
-                           calc_detection_pr = calc_detection_pr,
-                           by_timestep = TRUE)
-
    #> flapper::sim_detections() called (@ 2022-06-17 10:08:25)... 
-#> ... Setting up simulation... 
-#> ... Calculating distances... 
-#> ... Calculating probabilities... 
-#> ... Simulating detections... 
    #> Warning: NAs produced
    #> ... Plotting detections... 
    #> 22 observation pair(s) in x are NA; these are removed.
    #> ... flapper::simulate_detections() call completed (@ 2022-06-17 10:08:25) after ~0 minutes. 
    
-
    +
    +

    Examples

    + 
    #### Step (1) Simulate an array in an area
+array_ls <- sim_array(boundaries = raster::extent(dat_coast),
+                      coastline = dat_coast,
+                      n_receivers = 100,
+                      arrangement = "regular",
+                      seed = 1)
+#> flapper::sim_array() called (@ 2023-02-19 15:04:48)... 
+#> ... Defining area... 
+#> ... Incorporating coastline... 
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> ... Incorporating receivers... 
+#> ... ... Simulating receivers... 
+#> ... Plotting array... 
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+#> ... Defining outputs... 
+#> ... flapper::sim_array() call completed (@ 2023-02-19 15:04:48) after ~0 minutes. 
+raster::lines(dat_coast)
+
+#### Step (2) Simulate a movement path in this area
+n <- 500
+path_ls <- sim_path_sa(n = n,
+                       sim_step = function(...) stats::rgamma(1, shape = 25, scale = 25),
+                       area = array_ls$array$sea,
+                       seed = 1,
+                       plot = FALSE
+                       )
+#> flapper::sim_path_sa() called (@ 2023-02-19 15:04:48)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> 
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  |======================================================================| 100%... flapper::sim_path_sa() call completed (@ 2023-02-19 15:04:49) after ~0.01 minutes. 
+prettyGraphics::add_sp_path(path_ls$xy_mat, col = viridis::viridis(n), length = 0.02)
+
+
+#### Step (3) Simulate detections
+## (A) Extract path and receiver coordinates from simulated outcomes above
+path <- path_ls$xy_mat
+xy   <- array_ls$array$xy
+xy   <- sp::coordinates(xy)
+## (B) Simulate detections under different probability functions (see below).
+
+#### Example (1) Threshold probability function
+# Define detection pr function
+calc_detection_pr <- function(dist) ifelse(dist < 425, 1, 0)
+# Simulate detections
+dets_sim <- sim_detections(path = path,
+                           xy = xy,
+                           calc_detection_pr = calc_detection_pr)
+#> flapper::sim_detections() called (@ 2023-02-19 15:04:49)... 
+#> ... Setting up simulation... 
+#> ... Calculating distances... 
+#> ... Calculating probabilities... 
+#> ... Simulating detections... 
+#> ... Plotting detections... 
+
+#> ... flapper::simulate_detections() call completed (@ 2023-02-19 15:04:49) after ~0 minutes. 
+# The function returns a list of matrices that define the distances,
+# ... probabilities and detections for each time stamp (row) and each receiver
+# ... (column)
+utils::str(dets_sim)
+#> List of 3
+#>  $ dist_mat: num [1:500, 1:116] 19067 18554 18094 17367 16872 ...
+#>  $ prob_mat: num [1:500, 1:116] 0 0 0 0 0 0 0 0 0 0 ...
+#>  $ det_mat : int [1:500, 1:116] 0 0 0 0 0 0 0 0 0 0 ...
+# Examine probabilities
+table(dets_sim$prob_mat)
+#> 
+#>     0     1 
+#> 57852   148 
+# We can also aggregate detections via delta_t
+dets_sim <- sim_detections(path = path,
+                           xy = xy,
+                           calc_detection_pr = calc_detection_pr,
+                           delta_t = 10)
+#> flapper::sim_detections() called (@ 2023-02-19 15:04:49)... 
+#> ... Setting up simulation... 
+#> ... Calculating distances... 
+#> ... Calculating probabilities... 
+#> ... Simulating detections... 
+#> ... Plotting detections... 
+
+#> ... summarising detections over delta t... 
+#> ... flapper::simulate_detections() call completed (@ 2023-02-19 15:04:50) after ~0 minutes. 
+# In this case, the function returns a list with 'agg' and 'raw' elements
+# ... The 'agg' elements contain aggregated matrices and the 'raw' elements
+# ... contain the matrices described above.
+utils::str(dets_sim)
+#> List of 2
+#>  $ agg:List of 3
+#>   ..$ dist_mat: num [1:50, 1:116] 173735 163252 172967 184119 163313 ...
+#>   ..$ prob_mat: num [1:50, 1:116] 0 0 0 0 0 0 0 0 0 0 ...
+#>   ..$ det_mat : num [1:50, 1:116] 0 0 0 0 0 0 0 0 0 0 ...
+#>  $ raw:List of 3
+#>   ..$ dist_mat_raw: num [1:500, 1:116] 19067 18554 18094 17367 16872 ...
+#>   ..$ prob_mat_raw: num [1:500, 1:116] 0 0 0 0 0 0 0 0 0 0 ...
+#>   ..$ det_mat_raw : int [1:500, 1:116] 0 0 0 0 0 0 0 0 0 0 ...
+table(dets_sim$raw$det_mat)
+#> 
+#>     0     1 
+#> 57852   148 
+table(dets_sim$agg$det_mat)
+#> 
+#>    0    1    2    3    4 
+#> 5701   61   29    7    2 
+
+#### Example (2) Logistic probability function
+calc_detection_pr <- function(dist) stats::plogis(2.5 + -0.01 * dist)
+dets_sim <- sim_detections(path = path,
+                           xy = xy,
+                           calc_detection_pr = calc_detection_pr)
+#> flapper::sim_detections() called (@ 2023-02-19 15:04:50)... 
+#> ... Setting up simulation... 
+#> ... Calculating distances... 
+#> ... Calculating probabilities... 
+#> ... Simulating detections... 
+#> ... Plotting detections... 
+
+#> ... flapper::simulate_detections() call completed (@ 2023-02-19 15:04:50) after ~0 minutes. 
+
+#### Example (3) Spatially varying probability function
+# Define spatially varying beta parameter (e.g., reflecting 2 habitat types)
+area <- array_ls$array$area
+area_r <- raster::raster(x = raster::extent(area),
+                         crs = raster::crs(area))
+area_r[] <- 0L
+beta_surface <- sim_surface(blank = area_r,
+                            n = 2L,
+                            sim_values = list(function(n) -0.05,
+                                              function(n) -0.01),
+                            mask = array_ls$array$sea)
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+
+# Extract receiver specific beta values
+xy_sp <- sp::SpatialPoints(xy, proj4string = raster::crs(area_r))
+beta <- raster::extract(beta_surface, xy_sp)
+# Visualise simulated detection probability surface at some suitable distances
+pp <- graphics::par(mfrow = c(2, 2))
+lapply(c(0, 50, 100, 500), function(dist){
+  r <- raster::calc(beta_surface, function(beta) stats::plogis(2.5 + beta * dist))
+  raster::plot(r)
+})
+
+#> [[1]]
+#> NULL
+#> 
+#> [[2]]
+#> NULL
+#> 
+#> [[3]]
+#> NULL
+#> 
+#> [[4]]
+#> NULL
+#> 
+graphics::par(pp)
+# Define detection probability function
+calc_detection_pr <- function(dist) stats::plogis(2.5 + beta * dist)
+# Simulate detections
+# ... Define by_timestep = TRUE so that that distances from each receiver
+# ... are combined appropriately with beta values for each receiver
+dets_sim <- sim_detections(path = path,
+                           xy = xy,
+                           calc_detection_pr = calc_detection_pr,
+                           by_timestep = TRUE)
+#> flapper::sim_detections() called (@ 2023-02-19 15:04:50)... 
+#> ... Setting up simulation... 
+#> ... Calculating distances... 
+#> ... Calculating probabilities... 
+#> ... Simulating detections... 
+#> Warning: NAs produced
+#> ... Plotting detections... 
+#> 26 observation pair(s) in x are NA; these are removed.
+
+#> ... flapper::simulate_detections() call completed (@ 2023-02-19 15:04:50) after ~0 minutes. 
+
+
    +
    +
    - - - + + diff --git a/docs/reference/sim_path_-times.html b/docs/reference/sim_path_-times.html index b3f9ae3..1f75b5c 100644 --- a/docs/reference/sim_path_-times.html +++ b/docs/reference/sim_path_-times.html @@ -1,71 +1,16 @@ - - - - - - - -Functions for the simulation of movement paths — sim_path_* • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Functions for the simulation of movement paths — sim_path_* • flapper - - - - - - - - - - + + - - - -
    -
    - -
    - -
    +

    Functions for the simulation of movement paths

    - Source: R/sims.R + Source: R/sims.R
    -

    flapper includes a number of functions for the simulation of movement paths (sim_path_*()), listed here for convenience:

      -

    • sim_path_sa simulates discrete-time movement paths from step lengths and turning angles.

      • -

    • sim_path_ou_1 simulates discrete-time movement paths under a Ornstein-Uhlenbeck process with time-fixed parameters.

      • -
    - -
    - +

    flapper includes a number of functions for the simulation of movement paths (sim_path_*()), listed here for convenience:

    • sim_path_sa simulates discrete-time movement paths from step lengths and turning angles.

      • +

    • sim_path_ou_1 simulates discrete-time movement paths under a Ornstein-Uhlenbeck process with time-fixed parameters.

      • +
    -

    See also

    - -

    sim_array, sim_path_* and sim_detections provide an integrated workflow for simulating acoustic arrays, movement paths in these areas and detections at receivers arising from movement.

    +
    +

    See also

    +

    sim_array, sim_path_* and sim_detections provide an integrated workflow for simulating acoustic arrays, movement paths in these areas and detections at receivers arising from movement.

    +
    +
    - - - + + diff --git a/docs/reference/sim_path_ou_1-1.png b/docs/reference/sim_path_ou_1-1.png index 8f5af9f..3d0c331 100644 Binary files a/docs/reference/sim_path_ou_1-1.png and b/docs/reference/sim_path_ou_1-1.png differ diff --git a/docs/reference/sim_path_ou_1-2.png b/docs/reference/sim_path_ou_1-2.png index 17ae6b2..f00cfdc 100644 Binary files a/docs/reference/sim_path_ou_1-2.png and b/docs/reference/sim_path_ou_1-2.png differ diff --git a/docs/reference/sim_path_ou_1-3.png b/docs/reference/sim_path_ou_1-3.png index b29212d..3b8163a 100644 Binary files a/docs/reference/sim_path_ou_1-3.png and b/docs/reference/sim_path_ou_1-3.png differ diff --git a/docs/reference/sim_path_ou_1-4.png b/docs/reference/sim_path_ou_1-4.png index 85f0adb..3836996 100644 Binary files a/docs/reference/sim_path_ou_1-4.png and b/docs/reference/sim_path_ou_1-4.png differ diff --git a/docs/reference/sim_path_ou_1-5.png b/docs/reference/sim_path_ou_1-5.png index 5921451..8f59c6a 100644 Binary files a/docs/reference/sim_path_ou_1-5.png and b/docs/reference/sim_path_ou_1-5.png differ diff --git a/docs/reference/sim_path_ou_1-6.png b/docs/reference/sim_path_ou_1-6.png index 0c0adf3..aeb424b 100644 Binary files a/docs/reference/sim_path_ou_1-6.png and b/docs/reference/sim_path_ou_1-6.png differ diff --git a/docs/reference/sim_path_ou_1-7.png b/docs/reference/sim_path_ou_1-7.png index bc9bb1f..78a1359 100644 Binary files a/docs/reference/sim_path_ou_1-7.png and b/docs/reference/sim_path_ou_1-7.png differ diff --git a/docs/reference/sim_path_ou_1-8.png b/docs/reference/sim_path_ou_1-8.png index 3c44ed1..e9456ae 100644 Binary files a/docs/reference/sim_path_ou_1-8.png and b/docs/reference/sim_path_ou_1-8.png differ diff --git a/docs/reference/sim_path_ou_1.html b/docs/reference/sim_path_ou_1.html index 3e9de35..ae56cb9 100644 --- a/docs/reference/sim_path_ou_1.html +++ b/docs/reference/sim_path_ou_1.html @@ -1,67 +1,12 @@ - - - - - - - -Simulate discrete-time movement paths under a Ornstein-Uhlenbeck process (1) — sim_path_ou_1 • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Simulate discrete-time movement paths under a Ornstein-Uhlenbeck process (1) — sim_path_ou_1 • flapper - + + - - - -
    -
    - -
    - -
    +

    Simulate discrete-time movement paths under a Ornstein-Uhlenbeck process (1)

    - Source: R/sims.R + Source: R/sims.R
    @@ -123,230 +65,276 @@

    Simulate discrete-time movement paths under a Ornstein-Uhlenbeck process (1)

    This function simulates movement paths under a discrete-time Ornstein-Uhlenbeck process in which the parameters of the movement model are assumed to remain constant through time.

    - 
    sim_path_ou_1(
-  n = 1000,
-  r_1 = NULL,
-  r_h = matrix(c(0, 0), ncol = 2),
-  k = 1,
-  delta_t = 1,
-  eps = 1,
-  plot = TRUE,
-  add_paths = list(length = 0.04, col = viridis::viridis(n)),
-  add_points = list(pch = 21, cex = 2, lwd = 2, bg = c("darkgreen", "black")),
-  verbose = TRUE,
-  ...
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    n

    An integer that defines the number of time steps in the simulation.

    r_1

    (optional) A matrix with one row and two columns that defines the starting location (x, y). If r_1 = NULL, then a random location is simulated from a uniform distribution with a minimum and maximum value of 0 and 1 respectively.

    r_h

    A matrix with one row and two columns that defines the `home range' centre location (x, y).

    k

    A number that defines the strength of the `central harmonic force' that pulls an individual back towards its home range centre.

    delta_t

    A number that defines the number of time units between each time step.

    eps

    A number that defines the variance.

    plot

    A logical variable that defines whether or not to plot the simulated path.

    add_paths, add_points

    (optional) Named lists of arguments that are used to customise the appearance of points (the home range and starting location, in that order, shown as filled green and black circles by default) and the path on the map.

    verbose

    A logical variable that defines whether or not to print messages to the console that relay function progress.

    ...

    Additional arguments, passed to pretty_map, to customise the map.

    - -

    Value

    - -

    The function returns an n-row, two-column matrix that defines the simulated location (x, y) at each time step and, if plot = TRUE, a plot of the path.

    -

    Details

    +
    + 
    sim_path_ou_1(
+  n = 1000,
+  r_1 = NULL,
+  r_h = matrix(c(0, 0), ncol = 2),
+  k = 1,
+  delta_t = 1,
+  eps = 1,
+  plot = TRUE,
+  add_paths = list(length = 0.04, col = viridis::viridis(n)),
+  add_points = list(pch = 21, cex = 2, lwd = 2, bg = c("darkgreen", "black")),
+  verbose = TRUE,
+  ...
+)
    +
    + +
    +

    Arguments

    +
    n
    +

    An integer that defines the number of time steps in the simulation.

    + + +
    r_1
    +

    (optional) A matrix with one row and two columns that defines the starting location (x, y). If r_1 = NULL, then a random location is simulated from a uniform distribution with a minimum and maximum value of 0 and 1 respectively.

    + + +
    r_h
    +

    A matrix with one row and two columns that defines the `home range' centre location (x, y).

    + + +
    k
    +

    A number that defines the strength of the `central harmonic force' that pulls an individual back towards its home range centre.

    + + +
    delta_t
    +

    A number that defines the number of time units between each time step.

    + + +
    eps
    +

    A number that defines the variance.

    + + +
    plot
    +

    A logical variable that defines whether or not to plot the simulated path.

    + + +
    add_paths, add_points
    +

    (optional) Named lists of arguments that are used to customise the appearance of points (the home range and starting location, in that order, shown as filled green and black circles by default) and the path on the map.

    + +
    verbose
    +

    A logical variable that defines whether or not to print messages to the console that relay function progress.

    + + +
    ...
    +

    Additional arguments, passed to pretty_map, to customise the map.

    + +
    +
    +

    Value

    + + +

    The function returns an n-row, two-column matrix that defines the simulated location (x, y) at each time step and, if plot = TRUE, a plot of the path.

    +
    +
    +

    Details

    Ornstein-Uhlenbeck processes are convenient models for animal movement around a `home range' centre. In the model, a parameter (k) `pulls' the location of the individual (\(\vec{r}\)) back towards the centre of its home range (\(\vec{r}^H\)) as it moves away from this centre. This function implements the discretised form of the Ornstein-Uhlenbeck model in which the parameters of the movement model remain constant through time, and in which movement is not constrained by barriers, described by Alós et al. (2016) (see equations (8) and (9) in particular). Under this model, the position \(\vec{r}\) of the animal at time \(n + 1\) is given by:

    $$\vec{r}_{n + 1} = \vec{r}^H + e^{-k \Delta t} (\vec{r}_n - \vec{r}^H) + \vec{R}_n,$$

    where \(\vec{r}^H\) is the location of the home range centre; \(k\) is the strength of the central harmonic force; \(\Delta t\) is the duration between time steps; and \(\vec{R}_n\) is a bi-dimensional normally distributed random variable with mean zero and standard deviation (\(\sigma\)) given by:

    $$\sigma = \sqrt{ \frac{\epsilon (1 - e^{-2 k \Delta t})} {2 k}}.$$

    -

    Note that the default plotting parameters for this function require the viridis package for pretty visualisation.

    -

    References

    - +

    Note that the default plotting parameters for this function require the viridis package for pretty visualisation.

    +
    +
    +

    References

    Alós, J. et al. (2016) Bayesian State-Space Modelling of Conventional Acoustic Tracking Provides Accurate Descriptors of Home Range Behavior in a Small-Bodied Coastal Fish Species. Plos One 11, e0154089.

    -

    See also

    - -

    For movement simulations, see sim_path_* for the full list of functions currently implemented in flapper. For example, sim_path_sa simulates a movement path based on step lengths and turning angles. This can support movement within restricted areas. More broadly, sim_array, sim_path_* and sim_detections provide an integrated workflow for simulating acoustic arrays, movement paths in these areas and detections at receivers arising from movement.

    -

    Author

    - +
    +
    +

    See also

    +

    For movement simulations, see sim_path_* for the full list of functions currently implemented in flapper. For example, sim_path_sa simulates a movement path based on step lengths and turning angles. This can support movement within restricted areas. More broadly, sim_array, sim_path_* and sim_detections provide an integrated workflow for simulating acoustic arrays, movement paths in these areas and detections at receivers arising from movement.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Implement simulation with default options
-path <- sim_path_ou_1()
-
    #> flapper::sim_path_ou_1() called (@ 2022-06-17 10:08:26)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> ... Plotting simulated path... 
-#> prettyGraphics::pretty_map() called (@ 2022-06-17 10:08:26)... 
-#> ... Implementing function checks... 
-#> ... Getting CRS... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Getting axis parameters... 
-#> ... Defining pretty axes... 
-#> ... Defining area... 
-#> ... Plotting background... 
    #> ... Adding spatial layer(s)... 
-#> ... Adding pretty axes... 
-#> ... prettyGraphics::pretty_map() call completed (@ 2022-06-17 10:08:26) after ~0 minutes. 
-#> ... flapper::sim_path_ou_1() call completed (@ 2022-06-17 10:08:26) after ~0 minutes. 
    
-#### Example (2): Change the number of time steps
-path <- sim_path_ou_1(n = 10000)
-
    #> flapper::sim_path_ou_1() called (@ 2022-06-17 10:08:26)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> ... Plotting simulated path... 
-#> prettyGraphics::pretty_map() called (@ 2022-06-17 10:08:26)... 
-#> ... Implementing function checks... 
-#> ... Getting CRS... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Getting axis parameters... 
-#> ... Defining pretty axes... 
-#> ... Defining area... 
-#> ... Plotting background... 
    #> ... Adding spatial layer(s)... 
-#> ... Adding pretty axes... 
-#> ... prettyGraphics::pretty_map() call completed (@ 2022-06-17 10:08:26) after ~0 minutes. 
-#> ... flapper::sim_path_ou_1() call completed (@ 2022-06-17 10:08:26) after ~0 minutes. 
    
-#### Example (3): Change model parameters
-# esp parameter
-path <- sim_path_ou_1(n = 10000, eps = 10)
-
    #> flapper::sim_path_ou_1() called (@ 2022-06-17 10:08:26)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> ... Plotting simulated path... 
-#> prettyGraphics::pretty_map() called (@ 2022-06-17 10:08:26)... 
-#> ... Implementing function checks... 
-#> ... Getting CRS... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Getting axis parameters... 
-#> ... Defining pretty axes... 
-#> ... Defining area... 
-#> ... Plotting background... 
    #> ... Adding spatial layer(s)... 
-#> ... Adding pretty axes... 
-#> ... prettyGraphics::pretty_map() call completed (@ 2022-06-17 10:08:26) after ~0 minutes. 
-#> ... flapper::sim_path_ou_1() call completed (@ 2022-06-17 10:08:26) after ~0 minutes. 
    path <- sim_path_ou_1(n = 10000, eps = 500)
-
    #> flapper::sim_path_ou_1() called (@ 2022-06-17 10:08:26)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> ... Plotting simulated path... 
-#> prettyGraphics::pretty_map() called (@ 2022-06-17 10:08:26)... 
-#> ... Implementing function checks... 
-#> ... Getting CRS... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Getting axis parameters... 
-#> ... Defining pretty axes... 
-#> ... Defining area... 
-#> ... Plotting background... 
    #> ... Adding spatial layer(s)... 
-#> ... Adding pretty axes... 
-#> ... prettyGraphics::pretty_map() call completed (@ 2022-06-17 10:08:27) after ~0 minutes. 
-#> ... flapper::sim_path_ou_1() call completed (@ 2022-06-17 10:08:27) after ~0 minutes. 
    # central harmonic parameter
-path <- sim_path_ou_1(n = 1000, eps = 1, k = 1)
-
    #> flapper::sim_path_ou_1() called (@ 2022-06-17 10:08:27)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> ... Plotting simulated path... 
-#> prettyGraphics::pretty_map() called (@ 2022-06-17 10:08:27)... 
-#> ... Implementing function checks... 
-#> ... Getting CRS... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Getting axis parameters... 
-#> ... Defining pretty axes... 
-#> ... Defining area... 
-#> ... Plotting background... 
    #> ... Adding spatial layer(s)... 
-#> ... Adding pretty axes... 
-#> ... prettyGraphics::pretty_map() call completed (@ 2022-06-17 10:08:27) after ~0 minutes. 
-#> ... flapper::sim_path_ou_1() call completed (@ 2022-06-17 10:08:27) after ~0 minutes. 
    path <- sim_path_ou_1(n = 1000, eps = 1, k = 3)
-
    #> flapper::sim_path_ou_1() called (@ 2022-06-17 10:08:27)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> ... Plotting simulated path... 
-#> prettyGraphics::pretty_map() called (@ 2022-06-17 10:08:27)... 
-#> ... Implementing function checks... 
-#> ... Getting CRS... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Getting axis parameters... 
-#> ... Defining pretty axes... 
-#> ... Defining area... 
-#> ... Plotting background... 
    #> ... Adding spatial layer(s)... 
-#> ... Adding pretty axes... 
-#> ... prettyGraphics::pretty_map() call completed (@ 2022-06-17 10:08:27) after ~0 minutes. 
-#> ... flapper::sim_path_ou_1() call completed (@ 2022-06-17 10:08:27) after ~0 minutes. 
    path <- sim_path_ou_1(n = 1000, eps = 1, k = 500)
-
    #> flapper::sim_path_ou_1() called (@ 2022-06-17 10:08:27)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> ... Plotting simulated path... 
-#> prettyGraphics::pretty_map() called (@ 2022-06-17 10:08:27)... 
-#> ... Implementing function checks... 
-#> ... Getting CRS... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Getting axis parameters... 
-#> ... Defining pretty axes... 
-#> ... Defining area... 
-#> ... Plotting background... 
    #> ... Adding spatial layer(s)... 
-#> ... Adding pretty axes... 
-#> ... prettyGraphics::pretty_map() call completed (@ 2022-06-17 10:08:27) after ~0 minutes. 
-#> ... flapper::sim_path_ou_1() call completed (@ 2022-06-17 10:08:27) after ~0 minutes. 
    
-#### Example (4): Customise the plot via add_paths, add_points and ...
-n <- 1000
-path <- sim_path_ou_1(n = n,
-                      add_points = list(pch = c(1, 4), lwd = 3),
-                      add_paths = list(col = viridis::magma(n)),
-                      pretty_axis_args = list(1:4)
-                      )
-
    #> flapper::sim_path_ou_1() called (@ 2022-06-17 10:08:27)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> ... Plotting simulated path... 
-#> prettyGraphics::pretty_map() called (@ 2022-06-17 10:08:27)... 
-#> ... Implementing function checks... 
-#> ... Getting CRS... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... Getting axis parameters... 
-#> ... Defining pretty axes... 
    #> Argument 'side' not supplied to pretty_axis_args (nor 'axis_ls'); defaulting to side = 1:2.
    #> ... Defining area... 
-#> ... Plotting background... 
    #> ... Adding spatial layer(s)... 
-#> ... Adding pretty axes... 
-#> ... prettyGraphics::pretty_map() call completed (@ 2022-06-17 10:08:27) after ~0 minutes. 
-#> ... flapper::sim_path_ou_1() call completed (@ 2022-06-17 10:08:27) after ~0 minutes. 
    
-
    +
    +

    Examples

    + 
    #### Example (1): Implement simulation with default options
+path <- sim_path_ou_1()
+#> flapper::sim_path_ou_1() called (@ 2023-02-19 15:04:52)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> ... Plotting simulated path... 
+#> prettyGraphics::pretty_map() called (@ 2023-02-19 15:04:52)... 
+#> ... Implementing function checks... 
+#> ... Getting CRS... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... Getting axis parameters... 
+#> ... Defining pretty axes... 
+#> ... Defining area... 
+#> ... Plotting background... 
+
+#> ... Adding spatial layer(s)... 
+#> ... Adding pretty axes... 
+#> ... prettyGraphics::pretty_map() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+#> ... flapper::sim_path_ou_1() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+
+#### Example (2): Change the number of time steps
+path <- sim_path_ou_1(n = 10000)
+#> flapper::sim_path_ou_1() called (@ 2023-02-19 15:04:52)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> ... Plotting simulated path... 
+#> prettyGraphics::pretty_map() called (@ 2023-02-19 15:04:52)... 
+#> ... Implementing function checks... 
+#> ... Getting CRS... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... Getting axis parameters... 
+#> ... Defining pretty axes... 
+#> ... Defining area... 
+#> ... Plotting background... 
+
+#> ... Adding spatial layer(s)... 
+#> ... Adding pretty axes... 
+#> ... prettyGraphics::pretty_map() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+#> ... flapper::sim_path_ou_1() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+
+#### Example (3): Change model parameters
+# esp parameter
+path <- sim_path_ou_1(n = 10000, eps = 10)
+#> flapper::sim_path_ou_1() called (@ 2023-02-19 15:04:52)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> ... Plotting simulated path... 
+#> prettyGraphics::pretty_map() called (@ 2023-02-19 15:04:52)... 
+#> ... Implementing function checks... 
+#> ... Getting CRS... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... Getting axis parameters... 
+#> ... Defining pretty axes... 
+#> ... Defining area... 
+#> ... Plotting background... 
+
+#> ... Adding spatial layer(s)... 
+#> ... Adding pretty axes... 
+#> ... prettyGraphics::pretty_map() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+#> ... flapper::sim_path_ou_1() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+path <- sim_path_ou_1(n = 10000, eps = 500)
+#> flapper::sim_path_ou_1() called (@ 2023-02-19 15:04:52)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> ... Plotting simulated path... 
+#> prettyGraphics::pretty_map() called (@ 2023-02-19 15:04:52)... 
+#> ... Implementing function checks... 
+#> ... Getting CRS... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... Getting axis parameters... 
+#> ... Defining pretty axes... 
+#> ... Defining area... 
+#> ... Plotting background... 
+
+#> ... Adding spatial layer(s)... 
+#> ... Adding pretty axes... 
+#> ... prettyGraphics::pretty_map() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+#> ... flapper::sim_path_ou_1() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+# central harmonic parameter
+path <- sim_path_ou_1(n = 1000, eps = 1, k = 1)
+#> flapper::sim_path_ou_1() called (@ 2023-02-19 15:04:52)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> ... Plotting simulated path... 
+#> prettyGraphics::pretty_map() called (@ 2023-02-19 15:04:52)... 
+#> ... Implementing function checks... 
+#> ... Getting CRS... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... Getting axis parameters... 
+#> ... Defining pretty axes... 
+#> ... Defining area... 
+#> ... Plotting background... 
+
+#> ... Adding spatial layer(s)... 
+#> ... Adding pretty axes... 
+#> ... prettyGraphics::pretty_map() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+#> ... flapper::sim_path_ou_1() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+path <- sim_path_ou_1(n = 1000, eps = 1, k = 3)
+#> flapper::sim_path_ou_1() called (@ 2023-02-19 15:04:52)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> ... Plotting simulated path... 
+#> prettyGraphics::pretty_map() called (@ 2023-02-19 15:04:52)... 
+#> ... Implementing function checks... 
+#> ... Getting CRS... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... Getting axis parameters... 
+#> ... Defining pretty axes... 
+#> ... Defining area... 
+#> ... Plotting background... 
+
+#> ... Adding spatial layer(s)... 
+#> ... Adding pretty axes... 
+#> ... prettyGraphics::pretty_map() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+#> ... flapper::sim_path_ou_1() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+path <- sim_path_ou_1(n = 1000, eps = 1, k = 500)
+#> flapper::sim_path_ou_1() called (@ 2023-02-19 15:04:52)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> ... Plotting simulated path... 
+#> prettyGraphics::pretty_map() called (@ 2023-02-19 15:04:52)... 
+#> ... Implementing function checks... 
+#> ... Getting CRS... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... Getting axis parameters... 
+#> ... Defining pretty axes... 
+#> ... Defining area... 
+#> ... Plotting background... 
+
+#> ... Adding spatial layer(s)... 
+#> ... Adding pretty axes... 
+#> ... prettyGraphics::pretty_map() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+#> ... flapper::sim_path_ou_1() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+
+#### Example (4): Customise the plot via add_paths, add_points and ...
+n <- 1000
+path <- sim_path_ou_1(n = n,
+                      add_points = list(pch = c(1, 4), lwd = 3),
+                      add_paths = list(col = viridis::magma(n)),
+                      pretty_axis_args = list(1:4)
+                      )
+#> flapper::sim_path_ou_1() called (@ 2023-02-19 15:04:52)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> ... Plotting simulated path... 
+#> prettyGraphics::pretty_map() called (@ 2023-02-19 15:04:52)... 
+#> ... Implementing function checks... 
+#> ... Getting CRS... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> ... Getting axis parameters... 
+#> ... Defining pretty axes... 
+#> Argument 'side' not supplied to pretty_axis_args (nor 'axis_ls'); defaulting to side = 1:2.
+#> ... Defining area... 
+#> ... Plotting background... 
+
+#> ... Adding spatial layer(s)... 
+#> ... Adding pretty axes... 
+#> ... prettyGraphics::pretty_map() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+#> ... flapper::sim_path_ou_1() call completed (@ 2023-02-19 15:04:52) after ~0 minutes. 
+
+
    +
    +
    - - - + + diff --git a/docs/reference/sim_path_sa-1.png b/docs/reference/sim_path_sa-1.png index 26e9981..0fd89ae 100644 Binary files a/docs/reference/sim_path_sa-1.png and b/docs/reference/sim_path_sa-1.png differ diff --git a/docs/reference/sim_path_sa-10.png b/docs/reference/sim_path_sa-10.png index c6520a2..49694b2 100644 Binary files a/docs/reference/sim_path_sa-10.png and b/docs/reference/sim_path_sa-10.png differ diff --git a/docs/reference/sim_path_sa-2.png b/docs/reference/sim_path_sa-2.png index dc6607f..da44a6b 100644 Binary files a/docs/reference/sim_path_sa-2.png and b/docs/reference/sim_path_sa-2.png differ diff --git a/docs/reference/sim_path_sa-3.png b/docs/reference/sim_path_sa-3.png index 2ab2dc0..505b4a2 100644 Binary files a/docs/reference/sim_path_sa-3.png and b/docs/reference/sim_path_sa-3.png differ diff --git a/docs/reference/sim_path_sa-4.png b/docs/reference/sim_path_sa-4.png index c133acf..02892f1 100644 Binary files a/docs/reference/sim_path_sa-4.png and b/docs/reference/sim_path_sa-4.png differ diff --git a/docs/reference/sim_path_sa-5.png b/docs/reference/sim_path_sa-5.png index ef1cbdb..f756f1e 100644 Binary files a/docs/reference/sim_path_sa-5.png and b/docs/reference/sim_path_sa-5.png differ diff --git a/docs/reference/sim_path_sa-6.png b/docs/reference/sim_path_sa-6.png index 786f641..9d0a102 100644 Binary files a/docs/reference/sim_path_sa-6.png and b/docs/reference/sim_path_sa-6.png differ diff --git a/docs/reference/sim_path_sa-7.png b/docs/reference/sim_path_sa-7.png index 52fa2f4..e51afb8 100644 Binary files a/docs/reference/sim_path_sa-7.png and b/docs/reference/sim_path_sa-7.png differ diff --git a/docs/reference/sim_path_sa-8.png b/docs/reference/sim_path_sa-8.png index c4ea296..8a72712 100644 Binary files a/docs/reference/sim_path_sa-8.png and b/docs/reference/sim_path_sa-8.png differ diff --git a/docs/reference/sim_path_sa-9.png b/docs/reference/sim_path_sa-9.png index c2fad60..84641a6 100644 Binary files a/docs/reference/sim_path_sa-9.png and b/docs/reference/sim_path_sa-9.png differ diff --git a/docs/reference/sim_path_sa.html b/docs/reference/sim_path_sa.html index a7ad3c8..db89d50 100644 --- a/docs/reference/sim_path_sa.html +++ b/docs/reference/sim_path_sa.html @@ -1,67 +1,12 @@ - - - - - - - -Simulate discrete-time movement paths from step lengths and turning angles — sim_path_sa • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Simulate discrete-time movement paths from step lengths and turning angles — sim_path_sa • flapper - + + - - - -
    -
    - -
    - -
    +

    Simulate discrete-time movement paths from step lengths and turning angles

    - Source: R/sims.R + Source: R/sims.R
    @@ -123,233 +65,278 @@

    Simulate discrete-time movement paths from step lengths and turning anglesThis function simulates movement paths from step lengths and turning angles. To implement the function, the number of time steps (n) needs to be specified and, if applicable, the area within which movement should occur. For example, in marine environments, the inclusion of the sea as a spatial layer would restrict movement within the sea*. The starting location (p_1) can be provided or simulated. At each time step, user-defined functions are used to simulate step lengths and turning angles, which can depend previous values of those variables via a lag parameter, from which the next position is calculated. This implementation enables movement paths to be simulated under a variety of movement models, including random walks and correlated random walks, providing that they are conceptualised in terms of step lengths and turning angles. The function returns a list of outputs that includes the simulated path and, if requested, produces a plot of the simulated path.

    - 
    sim_path_sa(
-  n = 10,
-  area = NULL,
-  p_1 = NULL,
-  sim_angle = sim_angles,
-  sim_step = sim_steps,
-  lag = 0L,
-  plot = TRUE,
-  add_points = list(pch = 21, bg = "darkgreen"),
-  add_path = list(length = 0.05, col = viridis::viridis(n)),
-  add_area = if (is.null(area)) NULL else list(),
-  seed = NULL,
-  verbose = TRUE,
-  ...
-)
-
-sim_steps(...)
-
-sim_angles(...)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    n

    An integer that defines the number of time steps in the simulation.

    area

    (optional) A SpatialPolygons-class or SpatialPolygonsDataFrame-class object that defines the area(s) within which movement is allowed.

    p_1

    (optional) A matrix with one row and two columns that defines the starting location (x, y). If p_1 = NULL, then a random location is sampled from area, if applicable, or simulated from a uniform distribution with a minimum and maximum value of 0 and 1 respectively.

    sim_angle

    A function that is used to simulate turning angles. This must accept a single number that represents some previous turning angle (degrees), even if this is simply ignored (see lag, below). For example, sim_angle = function() 1 will break but sim_angle = function(...) 1 is fine. For convenience, a default function is included that simulates angles from a wrapped normal circular distribution with a mean and standard deviation of 1 (see rwrappednormal). Functions that actually depend on some previous angle also need to be able to generate initial angles before enough previous angles have been generated for the function to depend on those (see lag, below). All functions should return a single number that defines the turning angle in degrees.

    sim_step

    A function that is used to simulate step lengths. This follows the same rules as for sim_angle. For convenience, a default function is included that simulates angles from a gamma distribution with shape and scale parameters of 15 (see rgamma).

    lag

    If sim_angle and/or sim_step have been defined such that they depend on some previous angle/step length, then lag is an integer that defines the number of time steps between the current time step and some previous time step that affects the current turning angle and/or step length.

    plot

    A logical variable that defines whether or not to produce a plot of the area (if provided) and the simulated movement path.

    add_area, add_points, add_path

    (optional) Named lists of arguments that are used to customise the appearance of the area, points (the starting location) and the path on the map, passed to the add_polys, add_points and add_points arguments of pretty_map.

    seed

    (optional) An integer that defines the seed (for reproducible simulations: see set.seed).

    verbose

    A logical variable that defines whether or not to print messages to the console that relay function progress.

    ...

    Additional arguments. For sim_path_sa, these are passed to pretty_map to customise the map. For the default sim_angles and sim_steps functions, ... is required but additional parameters are ignored.

    - -

    Value

    - -

    The function returns a named list of arguments that defines the simulated path (`xy_mat', `angle_mat', `step_mat' and `path') and a named list of arguments that were used to generate the path (`args'). `xy_mat' is an n-row, two-column matrix that defines the simulated position (x, y) at each time step; `angle_mat' and `step_mat' are n-row, one-column matrices that define the simulated turning angle (degrees) and step length (in map units) at each time step; and `path' is a SpatialLines representation of the movement path.

    -

    Details

    - -

    *Strictly speaking, only sequential positions are restricted to be within the allowed area. Yet since steps in the current implementation of the function are linear, the simulation of relatively large step lengths in an area with complex barriers to movement (e.g., convoluted coastlines), may lead to movement over inappropriate areas (e.g., over a peninsula) even through sequential positions are within the allowed area (e.g., either side of a peninsula). This problem can be mitigated by simulating time series for which sequential observations are closer in time (and thus for which step lengths are more constrained). For longer time series for which short time steps are undesirable, least-cost paths (e.g., see lcp_over_surface) may be implemented to ensure biologically meaningful movements in future (but this is more computationally demanding for rapid simulations).

    -

    For coupled simulation--analysis workflows (such as sim_array, sim_path_sa and sim_detections plus ac, dc, acdc and pf) note that the representation of the area as SpatialPolygons-class or SpatialPolygonsDataFrame-class objects by the sim_* functions, rather than a raster grid, may be problematic at the land--sea interface if the Spatial* data used for the simulation do not agree precisely with the raster data used to reconstruct movements: locations that are `allowed' from the perspective of the Spatial* data may not be allowed by the raster data (and vice versa). Furthermore, distances in the Spatial* data may differ from distances in the raster data depending on grid resolution. At the time of writing, these issues can be resolved by simply checking simulated movements in relation to the grid across which movements are reconstructed. Animal locations should also be translated onto the raster before simulating detections (see sim_detections). Movement distances should remain admissible under the movement model. In the future, these issues should be resolved by defining simulation areas across a raster too (see also acs_setup_containers)

    -

    This function requires the circular package.

    -

    See also

    - -

    For movement simulations, see sim_path_* for the full list of functions currently implemented in flapper. For example, sim_path_ou_1 simulates a movement path based on past locations according to an Ornstein-Uhlenbeck process (which is not based on step lengths and turning angles). More broadly, sim_array, sim_path_* and sim_detections provide an integrated workflow for simulating acoustic arrays, movement paths in these areas and detections at receivers arising from movement.

    -

    Author

    +
    + 
    sim_path_sa(
+  n = 10,
+  area = NULL,
+  p_1 = NULL,
+  sim_angle = sim_angles,
+  sim_step = sim_steps,
+  lag = 0L,
+  plot = TRUE,
+  add_points = list(pch = 21, bg = "darkgreen"),
+  add_path = list(length = 0.05, col = viridis::viridis(n)),
+  add_area = if (is.null(area)) NULL else list(),
+  seed = NULL,
+  verbose = TRUE,
+  ...
+)
+
+sim_steps(...)
+
+sim_angles(...)
    +
    + +
    +

    Arguments

    +
    n
    +

    An integer that defines the number of time steps in the simulation.

    + + +
    area
    +

    (optional) A SpatialPolygons-class or SpatialPolygonsDataFrame-class object that defines the area(s) within which movement is allowed.

    + + +
    p_1
    +

    (optional) A matrix with one row and two columns that defines the starting location (x, y). If p_1 = NULL, then a random location is sampled from area, if applicable, or simulated from a uniform distribution with a minimum and maximum value of 0 and 1 respectively.

    + + +
    sim_angle
    +

    A function that is used to simulate turning angles. This must accept a single number that represents some previous turning angle (degrees), even if this is simply ignored (see lag, below). For example, sim_angle = function() 1 will break but sim_angle = function(...) 1 is fine. For convenience, a default function is included that simulates angles from a wrapped normal circular distribution with a mean and standard deviation of 1 (see rwrappednormal). Functions that actually depend on some previous angle also need to be able to generate initial angles before enough previous angles have been generated for the function to depend on those (see lag, below). All functions should return a single number that defines the turning angle in degrees.

    + + +
    sim_step
    +

    A function that is used to simulate step lengths. This follows the same rules as for sim_angle. For convenience, a default function is included that simulates angles from a gamma distribution with shape and scale parameters of 15 (see rgamma).

    + + +
    lag
    +

    If sim_angle and/or sim_step have been defined such that they depend on some previous angle/step length, then lag is an integer that defines the number of time steps between the current time step and some previous time step that affects the current turning angle and/or step length.

    + + +
    plot
    +

    A logical variable that defines whether or not to produce a plot of the area (if provided) and the simulated movement path.

    + +
    add_area, add_points, add_path
    +

    (optional) Named lists of arguments that are used to customise the appearance of the area, points (the starting location) and the path on the map, passed to the add_polys, add_points and add_points arguments of pretty_map.

    + + +
    seed
    +

    (optional) An integer that defines the seed (for reproducible simulations: see set.seed).

    + + +
    verbose
    +

    A logical variable that defines whether or not to print messages to the console that relay function progress.

    + + +
    ...
    +

    Additional arguments. For sim_path_sa, these are passed to pretty_map to customise the map. For the default sim_angles and sim_steps functions, ... is required but additional parameters are ignored.

    + +
    +
    +

    Value

    + + +

    The function returns a named list of arguments that defines the simulated path (`xy_mat', `angle_mat', `step_mat' and `path') and a named list of arguments that were used to generate the path (`args'). `xy_mat' is an n-row, two-column matrix that defines the simulated position (x, y) at each time step; `angle_mat' and `step_mat' are n-row, one-column matrices that define the simulated turning angle (degrees) and step length (in map units) at each time step; and `path' is a SpatialLines representation of the movement path.

    +
    +
    +

    Details

    +

    *Strictly speaking, only sequential positions are restricted to be within the allowed area. Yet since steps in the current implementation of the function are linear, the simulation of relatively large step lengths in an area with complex barriers to movement (e.g., convoluted coastlines), may lead to movement over inappropriate areas (e.g., over a peninsula) even through sequential positions are within the allowed area (e.g., either side of a peninsula). This problem can be mitigated by simulating time series for which sequential observations are closer in time (and thus for which step lengths are more constrained). For longer time series for which short time steps are undesirable, least-cost paths (e.g., see lcp_over_surface) may be implemented to ensure biologically meaningful movements in future (but this is more computationally demanding for rapid simulations).

    +

    For coupled simulation--analysis workflows (such as sim_array, sim_path_sa and sim_detections plus ac, dc, acdc and pf) note that the representation of the area as SpatialPolygons-class or SpatialPolygonsDataFrame-class objects by the sim_* functions, rather than a raster grid, may be problematic at the land--sea interface if the Spatial* data used for the simulation do not agree precisely with the raster data used to reconstruct movements: locations that are `allowed' from the perspective of the Spatial* data may not be allowed by the raster data (and vice versa). Furthermore, distances in the Spatial* data may differ from distances in the raster data depending on grid resolution. At the time of writing, these issues can be resolved by simply checking simulated movements in relation to the grid across which movements are reconstructed. Animal locations should also be translated onto the raster before simulating detections (see sim_detections). Movement distances should remain admissible under the movement model. In the future, these issues should be resolved by defining simulation areas across a raster too (see also acs_setup_containers)

    +

    This function requires the circular package.

    +
    +
    +

    See also

    +

    For movement simulations, see sim_path_* for the full list of functions currently implemented in flapper. For example, sim_path_ou_1 simulates a movement path based on past locations according to an Ornstein-Uhlenbeck process (which is not based on step lengths and turning angles). More broadly, sim_array, sim_path_* and sim_detections provide an integrated workflow for simulating acoustic arrays, movement paths in these areas and detections at receivers arising from movement.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Simulate movement path under default parameters
-# Simulate path
-path <- sim_path_sa()
-
    #> flapper::sim_path_sa() called (@ 2022-06-17 10:08:28)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> 
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  |======================================================================| 100%... Plotting simulated path... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::sim_path_sa() call completed (@ 2022-06-17 10:08:28) after ~0 minutes. 
    # The function returns a list of parameters that define the array and a plot
-summary(path)
-
    #>           Length Class        Mode   
-#> xy_mat    20     -none-       numeric
-#> angle_mat 10     -none-       numeric
-#> step_mat  10     -none-       numeric
-#> path       1     SpatialLines S4     
-#> args      11     -none-       list   
    
-#### Example (2): Change the number of time steps
-path <- sim_path_sa(n = 100)
-
    #> flapper::sim_path_sa() called (@ 2022-06-17 10:08:28)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> 
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  |======================================================================| 100%... Plotting simulated path... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::sim_path_sa() call completed (@ 2022-06-17 10:08:28) after ~0 minutes. 
    
-#### Example (3): Change the characteristics of the study area
-# .. and define the starting location of the individual
-sea  <- invert_poly(dat_coast)
-path <- sim_path_sa(n = 100,
-                    area = sea,
-                    p_1 = matrix(c(706529.1, 6262293), ncol = 2),
-                    add_area = list(x = sea, col = "skyblue"))
-
    #> flapper::sim_path_sa() called (@ 2022-06-17 10:08:28)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> 
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  |======================================================================| 100%... Plotting simulated path... 
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
    #> ... flapper::sim_path_sa() call completed (@ 2022-06-17 10:08:29) after ~0 minutes. 
    
-#### Example (4): Change the movement model(s) to use alternative distributions/parameters
-
-## Step lengths
-# Define new function to simulate step lengths
-sim_step_lengths <- function(...) stats::rgamma(1, shape = 10, scale = 1)
-# Check outputs suitable values
-prettyGraphics::pretty_hist(replicate(n = 1000, expr = sim_step_lengths()))
-
    # Implement simulation
-path <- sim_path_sa(n = 100, sim_step = sim_step_lengths)
-
    #> flapper::sim_path_sa() called (@ 2022-06-17 10:08:29)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> 
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  |======================================================================| 100%... Plotting simulated path... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::sim_path_sa() call completed (@ 2022-06-17 10:08:29) after ~0 minutes. 
    prettyGraphics::pretty_hist(as.numeric(path$step_mat))
-
    
-## Turning angles
-# E.g., Random walk: draw turning angle from von Mises distribution
-sim_angles_vmd <- function(...){
-  angle <- circular::rvonmises(n = 1,
-                               mu = circular::circular(0),
-                               kappa = 0,
-                               control.circular = list(units = "degrees"))
-  return(as.numeric(angle))
-}
-path <- sim_path_sa(n = 100, sim_angle = sim_angles_vmd)
-
    #> flapper::sim_path_sa() called (@ 2022-06-17 10:08:29)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> 
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  |======================================================================| 100%... Plotting simulated path... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::sim_path_sa() call completed (@ 2022-06-17 10:08:29) after ~0 minutes. 
    
-# E.g., Correlated random walk: draw turning angle from wrapped normal distribution
-sim_angles_rwn <- function(...){
-  angle <- circular::rwrappednormal(n = 1,
-                                    mu = circular::circular(0),
-                                    rho = 0.999,
-                                    sd = 0,
-                                    control.circular = list(units = "degrees"))
-  return(as.numeric(angle))
-}
-path <- sim_path_sa(n = 100, sim_angle = sim_angles_rwn)
-
    #> flapper::sim_path_sa() called (@ 2022-06-17 10:08:29)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> 
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  |======================================================================| 100%... Plotting simulated path... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> ... flapper::sim_path_sa() call completed (@ 2022-06-17 10:08:29) after ~0 minutes. 
    
-#### Example (5) Change the movement models to depend on some lagged value
-# ... of the variable in question
-# Define a sim_angle function that depends on some previous angle
-# While the time step is less than the lag, the function needs to be
-# ... able to handle missing angles and return sensible values in these
-# ... cases e.g., via an 'is.null' structure:
-sim_angles_wrn_with_lag <- function(angle = NULL,...){
-  if(is.null(angle)) {
-    cat("\n... ... method (1) activated...\n") # useful check
-    angle_out <- circular::circular(0)
-  } else{
-    angle_out <- circular::rwrappednormal(n = 1,
-                                          mu = circular::circular(angle, units = "degrees"),
-                                          rho = 0.9,
-                                          sd = 0.1,
-                                          control.circular = list(units = "degrees"))
-  }
-  return(as.numeric(angle_out))
-}
-# Check function
-sim_angles_wrn_with_lag(NULL)
-
    #> 
-#> ... ... method (1) activated...
    #> [1] 0
    sim_angles_wrn_with_lag(1)
-
    #> [1] 340.9872
    # Implement algorithm
-path <- sim_path_sa(sim_angle = sim_angles_wrn_with_lag, lag = 1)
-
    #> flapper::sim_path_sa() called (@ 2022-06-17 10:08:29)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> 
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-#> 
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  |======================================================================| 100%... Plotting simulated path... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> ... flapper::sim_path_sa() call completed (@ 2022-06-17 10:08:29) after ~0 minutes. 
    path <- sim_path_sa(sim_angle = sim_angles_wrn_with_lag, lag = 2)
-
    #> flapper::sim_path_sa() called (@ 2022-06-17 10:08:29)... 
-#> ... Setting up simulation... 
-#> ... Simulating movement path... 
-#> 
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  |======================================================================| 100%... Plotting simulated path... 
    #> prettyGraphics::pretty_map() CRS taken as: 'NA'.
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> Warning: zero-length arrow is of indeterminate angle and so skipped
    #> ... flapper::sim_path_sa() call completed (@ 2022-06-17 10:08:29) after ~0 minutes. 
    
-
    +
    +

    Examples

    + 
    #### Example (1): Simulate movement path under default parameters
+# Simulate path
+path <- sim_path_sa()
+#> flapper::sim_path_sa() called (@ 2023-02-19 15:04:54)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> 
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  |======================================================================| 100%... Plotting simulated path... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... flapper::sim_path_sa() call completed (@ 2023-02-19 15:04:54) after ~0 minutes. 
+# The function returns a list of parameters that define the array and a plot
+summary(path)
+#>           Length Class        Mode   
+#> xy_mat    20     -none-       numeric
+#> angle_mat 10     -none-       numeric
+#> step_mat  10     -none-       numeric
+#> path       1     SpatialLines S4     
+#> args      11     -none-       list   
+
+#### Example (2): Change the number of time steps
+path <- sim_path_sa(n = 100)
+#> flapper::sim_path_sa() called (@ 2023-02-19 15:04:54)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> 
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  |======================================================================| 100%... Plotting simulated path... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... flapper::sim_path_sa() call completed (@ 2023-02-19 15:04:54) after ~0 minutes. 
+
+#### Example (3): Change the characteristics of the study area
+# .. and define the starting location of the individual
+sea  <- invert_poly(dat_coast)
+#> Warning: GEOS support is provided by the sf and terra packages among others
+path <- sim_path_sa(n = 100,
+                    area = sea,
+                    p_1 = matrix(c(706529.1, 6262293), ncol = 2),
+                    add_area = list(x = sea, col = "skyblue"))
+#> flapper::sim_path_sa() called (@ 2023-02-19 15:04:54)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> 
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  |======================================================================| 100%... Plotting simulated path... 
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=utm +zone=29 +datum=WGS84 +units=m +no_defs'.
+
+#> ... flapper::sim_path_sa() call completed (@ 2023-02-19 15:04:55) after ~0 minutes. 
+
+#### Example (4): Change the movement model(s) to use alternative distributions/parameters
+
+## Step lengths
+# Define new function to simulate step lengths
+sim_step_lengths <- function(...) stats::rgamma(1, shape = 10, scale = 1)
+# Check outputs suitable values
+prettyGraphics::pretty_hist(replicate(n = 1000, expr = sim_step_lengths()))
+
+# Implement simulation
+path <- sim_path_sa(n = 100, sim_step = sim_step_lengths)
+#> flapper::sim_path_sa() called (@ 2023-02-19 15:04:55)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> 
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  |======================================================================| 100%... Plotting simulated path... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... flapper::sim_path_sa() call completed (@ 2023-02-19 15:04:55) after ~0 minutes. 
+prettyGraphics::pretty_hist(as.numeric(path$step_mat))
+
+
+## Turning angles
+# E.g., Random walk: draw turning angle from von Mises distribution
+sim_angles_vmd <- function(...){
+  angle <- circular::rvonmises(n = 1,
+                               mu = circular::circular(0),
+                               kappa = 0,
+                               control.circular = list(units = "degrees"))
+  return(as.numeric(angle))
+}
+path <- sim_path_sa(n = 100, sim_angle = sim_angles_vmd)
+#> flapper::sim_path_sa() called (@ 2023-02-19 15:04:55)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> 
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  |======================================================================| 100%... Plotting simulated path... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... flapper::sim_path_sa() call completed (@ 2023-02-19 15:04:55) after ~0 minutes. 
+
+# E.g., Correlated random walk: draw turning angle from wrapped normal distribution
+sim_angles_rwn <- function(...){
+  angle <- circular::rwrappednormal(n = 1,
+                                    mu = circular::circular(0),
+                                    rho = 0.999,
+                                    sd = 0,
+                                    control.circular = list(units = "degrees"))
+  return(as.numeric(angle))
+}
+path <- sim_path_sa(n = 100, sim_angle = sim_angles_rwn)
+#> flapper::sim_path_sa() called (@ 2023-02-19 15:04:55)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> 
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  |======================================================================| 100%... Plotting simulated path... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+
+#> ... flapper::sim_path_sa() call completed (@ 2023-02-19 15:04:55) after ~0 minutes. 
+
+#### Example (5) Change the movement models to depend on some lagged value
+# ... of the variable in question
+# Define a sim_angle function that depends on some previous angle
+# While the time step is less than the lag, the function needs to be
+# ... able to handle missing angles and return sensible values in these
+# ... cases e.g., via an 'is.null' structure:
+sim_angles_wrn_with_lag <- function(angle = NULL,...){
+  if(is.null(angle)) {
+    cat("\n... ... method (1) activated...\n") # useful check
+    angle_out <- circular::circular(0)
+  } else{
+    angle_out <- circular::rwrappednormal(n = 1,
+                                          mu = circular::circular(angle, units = "degrees"),
+                                          rho = 0.9,
+                                          sd = 0.1,
+                                          control.circular = list(units = "degrees"))
+  }
+  return(as.numeric(angle_out))
+}
+# Check function
+sim_angles_wrn_with_lag(NULL)
+#> 
+#> ... ... method (1) activated...
+#> [1] 0
+sim_angles_wrn_with_lag(1)
+#> [1] 10.50476
+# Implement algorithm
+path <- sim_path_sa(sim_angle = sim_angles_wrn_with_lag, lag = 1)
+#> flapper::sim_path_sa() called (@ 2023-02-19 15:04:55)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> 
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+#> ... ... method (1) activated...
+#> 
  |                                                                            
  |========                                                              |  11%
+#> ... ... method (1) activated...
+#> 
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  |                                                                            
  |======================================================================| 100%... Plotting simulated path... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+
+#> ... flapper::sim_path_sa() call completed (@ 2023-02-19 15:04:55) after ~0 minutes. 
+path <- sim_path_sa(sim_angle = sim_angles_wrn_with_lag, lag = 2)
+#> flapper::sim_path_sa() called (@ 2023-02-19 15:04:55)... 
+#> ... Setting up simulation... 
+#> ... Simulating movement path... 
+#> 
  |                                                                            
  |                                                                      |   0%
+#> ... ... method (1) activated...
+#> 
  |                                                                            
  |=========                                                             |  12%
+#> ... ... method (1) activated...
+#> 
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  |==================                                                    |  25%
+#> ... ... method (1) activated...
+#> 
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  |==========================                                            |  38%
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  |======================================================================| 100%... Plotting simulated path... 
+#> prettyGraphics::pretty_map() CRS taken as: 'NA'.
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+#> Warning: zero-length arrow is of indeterminate angle and so skipped
+
+#> ... flapper::sim_path_sa() call completed (@ 2023-02-19 15:04:55) after ~0 minutes. 
+
+
    +
    +
    - - - + + diff --git a/docs/reference/sim_surface-1.png b/docs/reference/sim_surface-1.png index bb94c62..6d1a206 100644 Binary files a/docs/reference/sim_surface-1.png and b/docs/reference/sim_surface-1.png differ diff --git a/docs/reference/sim_surface-2.png b/docs/reference/sim_surface-2.png index b2458c3..8da8743 100644 Binary files a/docs/reference/sim_surface-2.png and b/docs/reference/sim_surface-2.png differ diff --git a/docs/reference/sim_surface-3.png b/docs/reference/sim_surface-3.png index 43bd02c..142a03f 100644 Binary files a/docs/reference/sim_surface-3.png and b/docs/reference/sim_surface-3.png differ diff --git a/docs/reference/sim_surface-4.png b/docs/reference/sim_surface-4.png index cd26414..ddaeb82 100644 Binary files a/docs/reference/sim_surface-4.png and b/docs/reference/sim_surface-4.png differ diff --git a/docs/reference/sim_surface.html b/docs/reference/sim_surface.html index 2e8dcdf..0dd64e8 100644 --- a/docs/reference/sim_surface.html +++ b/docs/reference/sim_surface.html @@ -1,67 +1,12 @@ - - - - - - - -Populate a raster with simulated values — sim_surface • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Populate a raster with simulated values — sim_surface • flapper - - + + - - -
    -
    - -
    - -
    +

    Populate a raster with simulated values

    - Source: R/spatial_tools.R + Source: R/spatial_tools.R
    @@ -123,127 +65,142 @@

    Populate a raster with simulated values

    This function is designed to populate a raster with simulated values. To implement the function, a (blank) raster should be supplied. A user-defined function, or list of functions, is evaluated across this raster, or across sub-regions of this raster, to generate a new raster with simulated values.

    - 
    sim_surface(
-  blank,
-  n = 1L,
-  sim_values,
-  mask = NULL,
-  mask_inside = FALSE,
-  plot = 1:2L
-)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - -
    blank

    A raster.

    n

    An integer that defines the number of (approximately equal area) pieces into which to split blank.

    sim_values

    A function or, if n > 1L, a list of functions, that, for a given number of cells, simulate new values for those cells.

    mask, mask_inside

    Arguments required to implement a spatial mask via mask_io.

    plot

    An integer that defines whether or not to plot a histogram of simulated values (1L), a heat map of the simulated raster (2L) or both (1:2L).

    - -

    Value

    - -

    The function returns a raster, with the same properties as blank, with values generated from the sim_values function(s).

    -

    Author

    +
    + 
    sim_surface(
+  blank,
+  n = 1L,
+  sim_values,
+  mask = NULL,
+  mask_inside = FALSE,
+  plot = 1:2L
+)
    +
    + +
    +

    Arguments

    +
    blank
    +

    A raster.

    + + +
    n
    +

    An integer that defines the number of (approximately equal area) pieces into which to split blank.

    + +
    sim_values
    +

    A function or, if n > 1L, a list of functions, that, for a given number of cells, simulate new values for those cells.

    + + +
    mask, mask_inside
    +

    Arguments required to implement a spatial mask via mask_io.

    + + +
    plot
    +

    An integer that defines whether or not to plot a histogram of simulated values (1L), a heat map of the simulated raster (2L) or both (1:2L).

    + +
    +
    +

    Value

    + + +

    The function returns a raster, with the same properties as blank, with values generated from the sim_values function(s).

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    #### Example (1): Simulate values across the whole raster
-sim_surface(dat_gebco,
-            sim_values = function(n) stats::runif(n = n, 0, 1))
-
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
    #> class      : RasterLayer 
-#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
-#> resolution : 0.004166667, 0.004166667  (x, y)
-#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=longlat +datum=WGS84 +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 0.0001218545, 0.999881  (min, max)
-#> 
    sim_surface(dat_gebco,
-            sim_values = function(n) stats::rnorm(n = n, 0, 1))
-
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
    #> class      : RasterLayer 
-#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
-#> resolution : 0.004166667, 0.004166667  (x, y)
-#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=longlat +datum=WGS84 +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : -3.256974, 3.35769  (min, max)
-#> 
    
-#### Example (2): Simulate values differently across different areas
-# .. by defining the number of areas into which to split the raster
-# .. and a list of function(s)
-sim_surface(dat_gebco,
-            n = 2, sim_values = list(function(n) stats::runif(n = n, 0, 1),
-                                     function(n) stats::runif(n = n, 10, 11))
-            )
-
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
    #> class      : RasterLayer 
-#> dimensions : 36, 34, 1224  (nrow, ncol, ncell)
-#> resolution : 0.004166667, 0.004166667  (x, y)
-#> extent     : -5.541667, -5.4, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=longlat +datum=WGS84 +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 0.0003569499, 10.99139  (min, max)
-#> 
    
-#### Example (3): Include a spatial mask
-sim_surface(dat_gebco,
-            n = 2, sim_values = list(function(n) stats::runif(n = n, 9, 10),
-                                    function(n) stats::runif(n = n, 10, 11)),
-            mask = dat_coast, mask_inside = TRUE
-            )
-
    #> Warning: spgeom1 and spgeom2 have different proj4 strings
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
    #> class      : RasterLayer 
-#> dimensions : 36, 34, 1224  (nrow, ncol, ncell)
-#> resolution : 0.004166667, 0.004166667  (x, y)
-#> extent     : -5.541667, -5.4, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
-#> crs        : +proj=longlat +datum=WGS84 +no_defs 
-#> source     : memory
-#> names      : layer 
-#> values     : 9.000728, 10.99993  (min, max)
-#> 
    
-
    +
    +

    Examples

    + 
    #### Example (1): Simulate values across the whole raster
+sim_surface(dat_gebco,
+            sim_values = function(n) stats::runif(n = n, 0, 1))
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
+
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 0.0002628767, 0.9981007  (min, max)
+#> 
+sim_surface(dat_gebco,
+            sim_values = function(n) stats::rnorm(n = n, 0, 1))
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
+
+#> class      : RasterLayer 
+#> dimensions : 36, 36, 1296  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.545833, -5.395833, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : -3.726687, 3.659565  (min, max)
+#> 
+
+#### Example (2): Simulate values differently across different areas
+# .. by defining the number of areas into which to split the raster
+# .. and a list of function(s)
+sim_surface(dat_gebco,
+            n = 2, sim_values = list(function(n) stats::runif(n = n, 0, 1),
+                                     function(n) stats::runif(n = n, 10, 11))
+            )
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
+
+#> class      : RasterLayer 
+#> dimensions : 36, 34, 1224  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.541667, -5.4, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 0.0006078323, 10.99669  (min, max)
+#> 
+
+#### Example (3): Include a spatial mask
+sim_surface(dat_gebco,
+            n = 2, sim_values = list(function(n) stats::runif(n = n, 9, 10),
+                                    function(n) stats::runif(n = n, 10, 11)),
+            mask = dat_coast, mask_inside = TRUE
+            )
+#> Warning: GEOS support is provided by the sf and terra packages among others
+#> Warning: spgeom1 and spgeom2 have different proj4 strings
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
+
+#> class      : RasterLayer 
+#> dimensions : 36, 34, 1224  (nrow, ncol, ncell)
+#> resolution : 0.004166667, 0.004166667  (x, y)
+#> extent     : -5.541667, -5.4, 56.34167, 56.49167  (xmin, xmax, ymin, ymax)
+#> crs        : +proj=longlat +datum=WGS84 +no_defs 
+#> source     : memory
+#> names      : layer 
+#> values     : 9.004556, 10.99942  (min, max)
+#> 
+
+
    +
    +
    - - - + + diff --git a/docs/reference/split_raster_equally-1.png b/docs/reference/split_raster_equally-1.png index e84f78c..a6cef1f 100644 Binary files a/docs/reference/split_raster_equally-1.png and b/docs/reference/split_raster_equally-1.png differ diff --git a/docs/reference/split_raster_equally.html b/docs/reference/split_raster_equally.html index 7089781..e01b371 100644 --- a/docs/reference/split_raster_equally.html +++ b/docs/reference/split_raster_equally.html @@ -1,67 +1,12 @@ - - - - - - - -Split a raster into equal-area parts — split_raster_equally • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Split a raster into equal-area parts — split_raster_equally • flapper - - - - + + -
    -
    - -
    - -
    +

    Split a raster into equal-area parts

    - Source: R/spatial_tools.R + Source: R/spatial_tools.R
    @@ -123,363 +65,372 @@

    Split a raster into equal-area parts

    This function splits a raster object into parts with approximately equal area.

    - 
    split_raster_equally(r, n)
    +
    + 
    split_raster_equally(r, n)
    +
    -

    Arguments

    - - - - - - - - - - -
    r

    A raster.

    n

    An integer that defines the number of parts into which to split the raster.

    +
    +

    Source

    +

    The function taken and slightly modified from the `greenbrown' package (see https://rdrr.io/rforge/greenbrown/src/R/SplitRasterEqually.R). The function is defined separately in flapper to reduce reliance on non-default packages.

    +
    +
    +

    Arguments

    +
    r
    +

    A raster.

    -

    Source

    -

    The function taken and slightly modified from the `greenbrown' package (see https://rdrr.io/rforge/greenbrown/src/R/SplitRasterEqually.R). The function is defined separately in flapper to reduce reliance on non-default packages.

    -

    Value

    +
    n
    +

    An integer that defines the number of parts into which to split the raster.

    -

    The function returns a list containing the split raster components.

    -

    Details

    +
    +
    +

    Value

    + +

    The function returns a list containing the split raster components.

    +
    +
    +

    Details

    The raster (r) should not only contain NAs.

    -

    Note

    - +
    +
    +

    Note

    This function requires the `plyr' package.

    -

    References

    - +
    +
    +

    References

    Forkel M, Wutzler T (2015) greenbrown -- land surface phenology and trend analysis. A package for the R software. Version 2.2, 2015-04-15, http://greenbrown.r-forge.r-project.org/.

    +
    -

    Examples

    - 
    l <- split_raster_equally(dat_gebco, 2)
-l <- split_raster_equally(dat_gebco, 3)
-pp <- graphics::par(mfrow = c(1, 3))
-lapply(l, function(r) prettyGraphics::pretty_map(add_rasters = list(x = r)))
-
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
    #> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
    #> [[1]]
-#> [[1]]$`1`
-#> [[1]]$`1`$axis
-#> [[1]]$`1`$axis$at
-#> [1] -5.54 -5.53 -5.52 -5.51 -5.50
-#> 
-#> [[1]]$`1`$axis$labels
-#> [1] "-5.54" "-5.53" "-5.52" "-5.51" "-5.50"
-#> 
-#> [[1]]$`1`$axis$side
-#> [1] 1
-#> 
-#> [[1]]$`1`$axis$las
-#> [1] TRUE
-#> 
-#> [[1]]$`1`$axis$pos
-#> [1] 56.34167
-#> 
-#> 
-#> [[1]]$`1`$lim
-#> [1] -5.541667 -5.495833
-#> attr(,"user")
-#> [1] TRUE TRUE
-#> 
-#> 
-#> [[1]]$`2`
-#> [[1]]$`2`$axis
-#> [[1]]$`2`$axis$at
-#> [1] 56.35 56.40 56.45
-#> 
-#> [[1]]$`2`$axis$labels
-#> [1] "56.35" "56.40" "56.45"
-#> 
-#> [[1]]$`2`$axis$side
-#> [1] 2
-#> 
-#> [[1]]$`2`$axis$las
-#> [1] TRUE
-#> 
-#> [[1]]$`2`$axis$pos
-#> [1] -5.541667
-#> 
-#> 
-#> [[1]]$`2`$lim
-#> [1] 56.34167 56.49167
-#> attr(,"user")
-#> [1] TRUE TRUE
-#> 
-#> 
-#> [[1]]$`3`
-#> [[1]]$`3`$axis
-#> [[1]]$`3`$axis$labels
-#> [1] FALSE
-#> 
-#> [[1]]$`3`$axis$at
-#> [1] -5.54 -5.53 -5.52 -5.51 -5.50
-#> 
-#> [[1]]$`3`$axis$side
-#> [1] 3
-#> 
-#> [[1]]$`3`$axis$las
-#> [1] TRUE
-#> 
-#> [[1]]$`3`$axis$pos
-#> [1] 56.49167
-#> 
-#> 
-#> [[1]]$`3`$lim
-#> [1] -5.541667 -5.495833
-#> attr(,"user")
-#> [1] TRUE TRUE
-#> 
-#> 
-#> [[1]]$`4`
-#> [[1]]$`4`$axis
-#> [[1]]$`4`$axis$labels
-#> [1] FALSE
-#> 
-#> [[1]]$`4`$axis$at
-#> [1] 56.35 56.40 56.45
-#> 
-#> [[1]]$`4`$axis$side
-#> [1] 4
-#> 
-#> [[1]]$`4`$axis$las
-#> [1] TRUE
-#> 
-#> [[1]]$`4`$axis$pos
-#> [1] -5.495833
-#> 
-#> 
-#> [[1]]$`4`$lim
-#> [1] 56.34167 56.49167
-#> attr(,"user")
-#> [1] TRUE TRUE
-#> 
-#> 
-#> 
-#> [[2]]
-#> [[2]]$`1`
-#> [[2]]$`1`$axis
-#> [[2]]$`1`$axis$at
-#> [1] -5.49 -5.48 -5.47 -5.46 -5.45
-#> 
-#> [[2]]$`1`$axis$labels
-#> [1] "-5.49" "-5.48" "-5.47" "-5.46" "-5.45"
-#> 
-#> [[2]]$`1`$axis$side
-#> [1] 1
-#> 
-#> [[2]]$`1`$axis$las
-#> [1] TRUE
-#> 
-#> [[2]]$`1`$axis$pos
-#> [1] 56.34167
-#> 
-#> 
-#> [[2]]$`1`$lim
-#> [1] -5.495833 -5.445833
-#> attr(,"user")
-#> [1] TRUE TRUE
-#> 
-#> 
-#> [[2]]$`2`
-#> [[2]]$`2`$axis
-#> [[2]]$`2`$axis$at
-#> [1] 56.35 56.40 56.45
-#> 
-#> [[2]]$`2`$axis$labels
-#> [1] "56.35" "56.40" "56.45"
-#> 
-#> [[2]]$`2`$axis$side
-#> [1] 2
-#> 
-#> [[2]]$`2`$axis$las
-#> [1] TRUE
-#> 
-#> [[2]]$`2`$axis$pos
-#> [1] -5.495833
-#> 
-#> 
-#> [[2]]$`2`$lim
-#> [1] 56.34167 56.49167
-#> attr(,"user")
-#> [1] TRUE TRUE
-#> 
-#> 
-#> [[2]]$`3`
-#> [[2]]$`3`$axis
-#> [[2]]$`3`$axis$labels
-#> [1] FALSE
-#> 
-#> [[2]]$`3`$axis$at
-#> [1] -5.49 -5.48 -5.47 -5.46 -5.45
-#> 
-#> [[2]]$`3`$axis$side
-#> [1] 3
-#> 
-#> [[2]]$`3`$axis$las
-#> [1] TRUE
-#> 
-#> [[2]]$`3`$axis$pos
-#> [1] 56.49167
-#> 
-#> 
-#> [[2]]$`3`$lim
-#> [1] -5.495833 -5.445833
-#> attr(,"user")
-#> [1] TRUE TRUE
-#> 
-#> 
-#> [[2]]$`4`
-#> [[2]]$`4`$axis
-#> [[2]]$`4`$axis$labels
-#> [1] FALSE
-#> 
-#> [[2]]$`4`$axis$at
-#> [1] 56.35 56.40 56.45
-#> 
-#> [[2]]$`4`$axis$side
-#> [1] 4
-#> 
-#> [[2]]$`4`$axis$las
-#> [1] TRUE
-#> 
-#> [[2]]$`4`$axis$pos
-#> [1] -5.445833
-#> 
-#> 
-#> [[2]]$`4`$lim
-#> [1] 56.34167 56.49167
-#> attr(,"user")
-#> [1] TRUE TRUE
-#> 
-#> 
-#> 
-#> [[3]]
-#> [[3]]$`1`
-#> [[3]]$`1`$axis
-#> [[3]]$`1`$axis$at
-#> [1] -5.44 -5.43 -5.42 -5.41 -5.40
-#> 
-#> [[3]]$`1`$axis$labels
-#> [1] "-5.44" "-5.43" "-5.42" "-5.41" "-5.40"
-#> 
-#> [[3]]$`1`$axis$side
-#> [1] 1
-#> 
-#> [[3]]$`1`$axis$las
-#> [1] TRUE
-#> 
-#> [[3]]$`1`$axis$pos
-#> [1] 56.34167
-#> 
-#> 
-#> [[3]]$`1`$lim
-#> [1] -5.445833 -5.400000
-#> attr(,"user")
-#> [1] TRUE TRUE
-#> 
-#> 
-#> [[3]]$`2`
-#> [[3]]$`2`$axis
-#> [[3]]$`2`$axis$at
-#> [1] 56.35 56.40 56.45
-#> 
-#> [[3]]$`2`$axis$labels
-#> [1] "56.35" "56.40" "56.45"
-#> 
-#> [[3]]$`2`$axis$side
-#> [1] 2
-#> 
-#> [[3]]$`2`$axis$las
-#> [1] TRUE
-#> 
-#> [[3]]$`2`$axis$pos
-#> [1] -5.445833
-#> 
-#> 
-#> [[3]]$`2`$lim
-#> [1] 56.34167 56.49167
-#> attr(,"user")
-#> [1] TRUE TRUE
-#> 
-#> 
-#> [[3]]$`3`
-#> [[3]]$`3`$axis
-#> [[3]]$`3`$axis$labels
-#> [1] FALSE
-#> 
-#> [[3]]$`3`$axis$at
-#> [1] -5.44 -5.43 -5.42 -5.41 -5.40
-#> 
-#> [[3]]$`3`$axis$side
-#> [1] 3
-#> 
-#> [[3]]$`3`$axis$las
-#> [1] TRUE
-#> 
-#> [[3]]$`3`$axis$pos
-#> [1] 56.49167
-#> 
-#> 
-#> [[3]]$`3`$lim
-#> [1] -5.445833 -5.400000
-#> attr(,"user")
-#> [1] TRUE TRUE
-#> 
-#> 
-#> [[3]]$`4`
-#> [[3]]$`4`$axis
-#> [[3]]$`4`$axis$labels
-#> [1] FALSE
-#> 
-#> [[3]]$`4`$axis$at
-#> [1] 56.35 56.40 56.45
-#> 
-#> [[3]]$`4`$axis$side
-#> [1] 4
-#> 
-#> [[3]]$`4`$axis$las
-#> [1] TRUE
-#> 
-#> [[3]]$`4`$axis$pos
-#> [1] -5.4
-#> 
-#> 
-#> [[3]]$`4`$lim
-#> [1] 56.34167 56.49167
-#> attr(,"user")
-#> [1] TRUE TRUE
-#> 
-#> 
-#> 
    graphics::par(pp)
-
-
    +
    +

    Examples

    + 
    l <- split_raster_equally(dat_gebco, 2)
+l <- split_raster_equally(dat_gebco, 3)
+pp <- graphics::par(mfrow = c(1, 3))
+lapply(l, function(r) prettyGraphics::pretty_map(add_rasters = list(x = r)))
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
+#> prettyGraphics::pretty_map() CRS taken as: '+proj=longlat +datum=WGS84 +no_defs'.
+
+#> [[1]]
+#> [[1]]$`1`
+#> [[1]]$`1`$axis
+#> [[1]]$`1`$axis$at
+#> [1] -5.54 -5.53 -5.52 -5.51 -5.50
+#> 
+#> [[1]]$`1`$axis$labels
+#> [1] "-5.54" "-5.53" "-5.52" "-5.51" "-5.50"
+#> 
+#> [[1]]$`1`$axis$side
+#> [1] 1
+#> 
+#> [[1]]$`1`$axis$las
+#> [1] TRUE
+#> 
+#> [[1]]$`1`$axis$pos
+#> [1] 56.34167
+#> 
+#> 
+#> [[1]]$`1`$lim
+#> [1] -5.541667 -5.495833
+#> attr(,"user")
+#> [1] TRUE TRUE
+#> 
+#> 
+#> [[1]]$`2`
+#> [[1]]$`2`$axis
+#> [[1]]$`2`$axis$at
+#> [1] 56.35 56.40 56.45
+#> 
+#> [[1]]$`2`$axis$labels
+#> [1] "56.35" "56.40" "56.45"
+#> 
+#> [[1]]$`2`$axis$side
+#> [1] 2
+#> 
+#> [[1]]$`2`$axis$las
+#> [1] TRUE
+#> 
+#> [[1]]$`2`$axis$pos
+#> [1] -5.541667
+#> 
+#> 
+#> [[1]]$`2`$lim
+#> [1] 56.34167 56.49167
+#> attr(,"user")
+#> [1] TRUE TRUE
+#> 
+#> 
+#> [[1]]$`3`
+#> [[1]]$`3`$axis
+#> [[1]]$`3`$axis$labels
+#> [1] FALSE
+#> 
+#> [[1]]$`3`$axis$at
+#> [1] -5.54 -5.53 -5.52 -5.51 -5.50
+#> 
+#> [[1]]$`3`$axis$side
+#> [1] 3
+#> 
+#> [[1]]$`3`$axis$las
+#> [1] TRUE
+#> 
+#> [[1]]$`3`$axis$pos
+#> [1] 56.49167
+#> 
+#> 
+#> [[1]]$`3`$lim
+#> [1] -5.541667 -5.495833
+#> attr(,"user")
+#> [1] TRUE TRUE
+#> 
+#> 
+#> [[1]]$`4`
+#> [[1]]$`4`$axis
+#> [[1]]$`4`$axis$labels
+#> [1] FALSE
+#> 
+#> [[1]]$`4`$axis$at
+#> [1] 56.35 56.40 56.45
+#> 
+#> [[1]]$`4`$axis$side
+#> [1] 4
+#> 
+#> [[1]]$`4`$axis$las
+#> [1] TRUE
+#> 
+#> [[1]]$`4`$axis$pos
+#> [1] -5.495833
+#> 
+#> 
+#> [[1]]$`4`$lim
+#> [1] 56.34167 56.49167
+#> attr(,"user")
+#> [1] TRUE TRUE
+#> 
+#> 
+#> 
+#> [[2]]
+#> [[2]]$`1`
+#> [[2]]$`1`$axis
+#> [[2]]$`1`$axis$at
+#> [1] -5.49 -5.48 -5.47 -5.46 -5.45
+#> 
+#> [[2]]$`1`$axis$labels
+#> [1] "-5.49" "-5.48" "-5.47" "-5.46" "-5.45"
+#> 
+#> [[2]]$`1`$axis$side
+#> [1] 1
+#> 
+#> [[2]]$`1`$axis$las
+#> [1] TRUE
+#> 
+#> [[2]]$`1`$axis$pos
+#> [1] 56.34167
+#> 
+#> 
+#> [[2]]$`1`$lim
+#> [1] -5.495833 -5.445833
+#> attr(,"user")
+#> [1] TRUE TRUE
+#> 
+#> 
+#> [[2]]$`2`
+#> [[2]]$`2`$axis
+#> [[2]]$`2`$axis$at
+#> [1] 56.35 56.40 56.45
+#> 
+#> [[2]]$`2`$axis$labels
+#> [1] "56.35" "56.40" "56.45"
+#> 
+#> [[2]]$`2`$axis$side
+#> [1] 2
+#> 
+#> [[2]]$`2`$axis$las
+#> [1] TRUE
+#> 
+#> [[2]]$`2`$axis$pos
+#> [1] -5.495833
+#> 
+#> 
+#> [[2]]$`2`$lim
+#> [1] 56.34167 56.49167
+#> attr(,"user")
+#> [1] TRUE TRUE
+#> 
+#> 
+#> [[2]]$`3`
+#> [[2]]$`3`$axis
+#> [[2]]$`3`$axis$labels
+#> [1] FALSE
+#> 
+#> [[2]]$`3`$axis$at
+#> [1] -5.49 -5.48 -5.47 -5.46 -5.45
+#> 
+#> [[2]]$`3`$axis$side
+#> [1] 3
+#> 
+#> [[2]]$`3`$axis$las
+#> [1] TRUE
+#> 
+#> [[2]]$`3`$axis$pos
+#> [1] 56.49167
+#> 
+#> 
+#> [[2]]$`3`$lim
+#> [1] -5.495833 -5.445833
+#> attr(,"user")
+#> [1] TRUE TRUE
+#> 
+#> 
+#> [[2]]$`4`
+#> [[2]]$`4`$axis
+#> [[2]]$`4`$axis$labels
+#> [1] FALSE
+#> 
+#> [[2]]$`4`$axis$at
+#> [1] 56.35 56.40 56.45
+#> 
+#> [[2]]$`4`$axis$side
+#> [1] 4
+#> 
+#> [[2]]$`4`$axis$las
+#> [1] TRUE
+#> 
+#> [[2]]$`4`$axis$pos
+#> [1] -5.445833
+#> 
+#> 
+#> [[2]]$`4`$lim
+#> [1] 56.34167 56.49167
+#> attr(,"user")
+#> [1] TRUE TRUE
+#> 
+#> 
+#> 
+#> [[3]]
+#> [[3]]$`1`
+#> [[3]]$`1`$axis
+#> [[3]]$`1`$axis$at
+#> [1] -5.44 -5.43 -5.42 -5.41 -5.40
+#> 
+#> [[3]]$`1`$axis$labels
+#> [1] "-5.44" "-5.43" "-5.42" "-5.41" "-5.40"
+#> 
+#> [[3]]$`1`$axis$side
+#> [1] 1
+#> 
+#> [[3]]$`1`$axis$las
+#> [1] TRUE
+#> 
+#> [[3]]$`1`$axis$pos
+#> [1] 56.34167
+#> 
+#> 
+#> [[3]]$`1`$lim
+#> [1] -5.445833 -5.400000
+#> attr(,"user")
+#> [1] TRUE TRUE
+#> 
+#> 
+#> [[3]]$`2`
+#> [[3]]$`2`$axis
+#> [[3]]$`2`$axis$at
+#> [1] 56.35 56.40 56.45
+#> 
+#> [[3]]$`2`$axis$labels
+#> [1] "56.35" "56.40" "56.45"
+#> 
+#> [[3]]$`2`$axis$side
+#> [1] 2
+#> 
+#> [[3]]$`2`$axis$las
+#> [1] TRUE
+#> 
+#> [[3]]$`2`$axis$pos
+#> [1] -5.445833
+#> 
+#> 
+#> [[3]]$`2`$lim
+#> [1] 56.34167 56.49167
+#> attr(,"user")
+#> [1] TRUE TRUE
+#> 
+#> 
+#> [[3]]$`3`
+#> [[3]]$`3`$axis
+#> [[3]]$`3`$axis$labels
+#> [1] FALSE
+#> 
+#> [[3]]$`3`$axis$at
+#> [1] -5.44 -5.43 -5.42 -5.41 -5.40
+#> 
+#> [[3]]$`3`$axis$side
+#> [1] 3
+#> 
+#> [[3]]$`3`$axis$las
+#> [1] TRUE
+#> 
+#> [[3]]$`3`$axis$pos
+#> [1] 56.49167
+#> 
+#> 
+#> [[3]]$`3`$lim
+#> [1] -5.445833 -5.400000
+#> attr(,"user")
+#> [1] TRUE TRUE
+#> 
+#> 
+#> [[3]]$`4`
+#> [[3]]$`4`$axis
+#> [[3]]$`4`$axis$labels
+#> [1] FALSE
+#> 
+#> [[3]]$`4`$axis$at
+#> [1] 56.35 56.40 56.45
+#> 
+#> [[3]]$`4`$axis$side
+#> [1] 4
+#> 
+#> [[3]]$`4`$axis$las
+#> [1] TRUE
+#> 
+#> [[3]]$`4`$axis$pos
+#> [1] -5.4
+#> 
+#> 
+#> [[3]]$`4`$lim
+#> [1] 56.34167 56.49167
+#> attr(,"user")
+#> [1] TRUE TRUE
+#> 
+#> 
+#> 
+graphics::par(pp)
+
+
    +
    +
    - - - + + diff --git a/docs/reference/summarise_along_walk.html b/docs/reference/summarise_along_walk.html index a52910b..d44847e 100644 --- a/docs/reference/summarise_along_walk.html +++ b/docs/reference/summarise_along_walk.html @@ -1,67 +1,12 @@ - - - - - - - -Summarise every n numbers in a vector — summarise_along_walk • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Summarise every n numbers in a vector — summarise_along_walk • flapper - - + + - - -
    -
    - -
    - -
    +

    Summarise every n numbers in a vector

    - Source: R/sims.R + Source: R/sims.R
    @@ -123,76 +65,77 @@

    Summarise every n numbers in a vector

    This function summarises every n numbers in a vector.

    - 
    summarise_along_walk(vec, every, summarise = sum, na.rm = FALSE, ...)
    - -

    Arguments

    - - - - - - - - - - - - - - - - - - - - - - -
    vec

    A numeric vector.

    every

    An integer that defines the step length of the walk over the vector.

    summarise

    A function that summarises the numbers in each step.

    na.rm

    A logical value that defines whether or not to remove NAs.

    ...

    Additional arguments passed to summarise.

    - -

    Source

    +
    + 
    summarise_along_walk(vec, every, summarise = sum, na.rm = FALSE, ...)
    +
    +
    +

    Source

    This function is a slight modification of the code provided here: https://stackoverflow.com/questions/43635846/calculating-mean-for-every-n-values-from-a-vector.

    -

    Value

    +
    +
    +

    Arguments

    +
    vec
    +

    A numeric vector.

    + -

    The function returns a numeric vector.

    +
    every
    +

    An integer that defines the step length of the walk over the vector.

    -

    Examples

    - 
    if (FALSE) {
-x <- c(rep(1, 10), rep(2, 10))
-summarise_along_walk(x, every = 10)
-x <- c(mean(10, 5), mean(100, 5))
-summarise_along_walk(x, every = 10, summarise = mean)
-x <- c(x, NA)
-summarise_along_walk(x, every = 10, summarise = mean, na.rm = TRUE)
-}
 
-
    +
    summarise
    +

    A function that summarises the numbers in each step.

    + + +
    na.rm
    +

    A logical value that defines whether or not to remove NAs.

    + + +
    ...
    +

    Additional arguments passed to summarise.

    + +
    +
    +

    Value

    + + +

    The function returns a numeric vector.

    +
    + +
    +

    Examples

    + 
    if (FALSE) {
+x <- c(rep(1, 10), rep(2, 10))
+summarise_along_walk(x, every = 10)
+x <- c(mean(10, 5), mean(100, 5))
+summarise_along_walk(x, every = 10, summarise = mean)
+x <- c(x, NA)
+summarise_along_walk(x, every = 10, summarise = mean, na.rm = TRUE)
+}
+
+
    +
    +
    - - - + + diff --git a/docs/reference/update_extent.html b/docs/reference/update_extent.html index 02ad264..6ff7051 100644 --- a/docs/reference/update_extent.html +++ b/docs/reference/update_extent.html @@ -1,67 +1,12 @@ - - - - - - - -Shrink or expand an extent object — update_extent • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Shrink or expand an extent object — update_extent • flapper - - - - + + -
    -
    - -
    - -
    +
    -

    Shrink or expand an extent object

    - Source: R/spatial_tools.R +

    Shrink or expand an extent object

    + Source: R/spatial_tools.R
    -

    This function updates a raster's extent by shrinking or expanding the x and y limits.

    +

    This function updates a raster's extent by shrinking or expanding the x and y limits.

    +
    + +
    + 
    update_extent(x, x_shift, y_shift = x_shift)
    - 
    update_extent(x, x_shift, y_shift = x_shift)
    - -

    Arguments

    - - - - - - - - - - - - - - -
    x

    A raster or an extent object.

    x_shift

    A number that defines the change in the x limits. Positive numbers increase the extent (i.e., the lower limit is reduced and the upper limit is increased) while negative numbers reduce extent (i.e., the lower limit is increased and the upper limit is decreased).

    y_shift

    A number that defines the change in the y limits. By default, this equals x_shift (i.e., the extent is changed uniformly in all directions).

    - -

    Value

    - -

    The function returns an updated extent object.

    -

    Author

    +
    +

    Arguments

    +
    x
    +

    A raster or an extent object.

    + + +
    x_shift
    +

    A number that defines the change in the x limits. Positive numbers increase the extent (i.e., the lower limit is reduced and the upper limit is increased) while negative numbers reduce extent (i.e., the lower limit is increased and the upper limit is decreased).

    + + +
    y_shift
    +

    A number that defines the change in the y limits. By default, this equals x_shift (i.e., the extent is changed uniformly in all directions).

    + +
    +
    +

    Value

    + +

    The function returns an updated extent object.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    # Define example raster
-r <- raster::raster(nrows = 3, ncols = 3,
-                    resolution = c(5, 5),
-                    ext = raster::extent(0, 15, 0, 15))
-# Increase raster extent by 5 units in every direction
-update_extent(r, 5)
-
    #> class      : Extent 
-#> xmin       : -5 
-#> xmax       : 20 
-#> ymin       : -5 
-#> ymax       : 20 
    # Decrease raster extent by 5 units in every direction
-update_extent(r, -5)
-
    #> class      : Extent 
-#> xmin       : 5 
-#> xmax       : 10 
-#> ymin       : 5 
-#> ymax       : 10 
    # Increase x and y extent parameters differently
-update_extent(r, 5, 10)
-
    #> class      : Extent 
-#> xmin       : -5 
-#> xmax       : 20 
-#> ymin       : -10 
-#> ymax       : 25 
    
-
    +
    +

    Examples

    + 
    # Define example raster
+r <- raster::raster(nrows = 3, ncols = 3,
+                    resolution = c(5, 5),
+                    ext = raster::extent(0, 15, 0, 15))
+# Increase raster extent by 5 units in every direction
+update_extent(r, 5)
+#> class      : Extent 
+#> xmin       : -5 
+#> xmax       : 20 
+#> ymin       : -5 
+#> ymax       : 20 
+# Decrease raster extent by 5 units in every direction
+update_extent(r, -5)
+#> class      : Extent 
+#> xmin       : 5 
+#> xmax       : 10 
+#> ymin       : 5 
+#> ymax       : 10 
+# Increase x and y extent parameters differently
+update_extent(r, 5, 10)
+#> class      : Extent 
+#> xmin       : -5 
+#> xmax       : 20 
+#> ymin       : -10 
+#> ymax       : 25 
+
+
    +
    +
    -
    - - + + diff --git a/docs/reference/xy_from_click.html b/docs/reference/xy_from_click.html index e6f0937..f79a99e 100644 --- a/docs/reference/xy_from_click.html +++ b/docs/reference/xy_from_click.html @@ -1,67 +1,12 @@ - - - - - - - -Get location coordinates from mouse click(s) — xy_from_click • flapper - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Get location coordinates from mouse click(s) — xy_from_click • flapper - + + - - - -
    -
    - -
    - -
    +

    Get location coordinates from mouse click(s)

    - Source: R/spatial_tools.R + Source: R/spatial_tools.R
    @@ -123,48 +65,51 @@

    Get location coordinates from mouse click(s)

    This function defines a two-column matrix of x, y coordinates from clicked locations on a map.

    - 
    xy_from_click()
    - - -

    Value

    +
    + 
    xy_from_click()
    +
    -

    The function returns a two-column matrix with coordinates.

    -

    Author

    +
    +

    Value

    + +

    The function returns a two-column matrix with coordinates.

    +
    +
    +

    Author

    Edward Lavender

    +
    -

    Examples

    - 
    if (FALSE) {
-raster::plot(dat_gebco)
-xy <- xy_from_click()
-graphics::points(xy, col = "red")
-}
-
    +
    +

    Examples

    + 
    if (FALSE) {
+raster::plot(dat_gebco)
+xy <- xy_from_click()
+graphics::points(xy, col = "red")
+}
+
    +
    +
    - - - + + diff --git a/docs/sitemap.xml b/docs/sitemap.xml new file mode 100644 index 0000000..3bdef00 --- /dev/null +++ b/docs/sitemap.xml @@ -0,0 +1,411 @@ + + + + /404.html + + + /articles/flapper.html + + + /articles/flapper_algorithms_faqs.html + + + /articles/flapper_overview.html + + + /articles/index.html + + + /authors.html + + + /index.html + + + /news/index.html + + + /reference/ac.html + + + /reference/acdc.html + + + /reference/acdc_access.html + + + /reference/acdc_animate_record.html + + + /reference/acdc_archive-class.html + + + /reference/acdc_plot_record.html + + + /reference/acdc_plot_trace.html + + + /reference/acdc_record-class.html + + + /reference/acdc_simplify.html + + + /reference/acs_setup_centroids.html + + + /reference/acs_setup_containers.html + + + /reference/acs_setup_detection_kernels.html + + + /reference/acs_setup_mobility.html + + + /reference/assemble_sentinel_counts.html + + + /reference/buffer_and_crop.html + + + /reference/cells_from_val.html + + + /reference/check....html + + + /reference/check_class.html + + + /reference/check_class_acdc_record.html + + + /reference/check_crs.html + + + /reference/check_dir.html + + + /reference/check_named_list.html + + + /reference/check_names.html + + + /reference/check_tz.html + + + /reference/check_value.html + + + /reference/cl.html + + + /reference/coa.html + + + /reference/coa_setup_delta_t.html + + + /reference/compact.html + + + /reference/crop_from_click.html + + + /reference/dat_acdc.html + + + /reference/dat_acoustics.html + + + /reference/dat_archival.html + + + /reference/dat_centroids.html + + + /reference/dat_coast.html + + + /reference/dat_containers.html + + + /reference/dat_dc.html + + + /reference/dat_dcpf_histories.html + + + /reference/dat_dcpf_paths.html + + + /reference/dat_gebco.html + + + /reference/dat_ids.html + + + /reference/dat_moorings.html + + + /reference/dat_sentinel.html + + + /reference/dc.html + + + /reference/dcq.html + + + 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