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- - Open Geospatial Consortium - - - -

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- Submission Date: 2023-05-23 -

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- Approval Date: 2023-05-23 -

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- Publication Date: 2023-05-23 -

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- External identifier of this OGC® document: http://www.opengis.net/doc/AS/Temporal/1.0 -

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- Internal reference number of this OGC® document: 23-032 -

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- Version: 1.0 -

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- Category: Abstract Specification Topic -

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- Contributor: -

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- Editors: Chris Little, Charles Heazel -

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- Topic nn - Abstract Conceptual Model for Time - -

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Copyright notice

- - -

Copyright - © 2023 Open Geospatial Consortium
- To obtain additional rights of use, visit - http://www.ogc.org/legal/

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Note

- -

Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. The Open Geospatial Consortium shall not be held responsible for identifying any or all such patent rights.

- -

Recipients of this document are requested to submit, with their comments, notification of any relevant patent claims or other intellectual property rights of which they may be aware that might be infringed by any implementation of the standard set forth in this document, and to provide supporting documentation.

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Notice

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This document is not an OGC Standard. This document is an OGC Abstract Specification Topic and is therefore not an official position of the OGC membership. It is distributed for review and comment. It is subject to change without notice and may not be referred to as an OGC Standard.

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Further, an OGC Abstract Specification Topic should not be referenced as required or mandatory technology in procurements.

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Document - number:            23-032

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Document - type:            OGC® Abstract Specification Topic

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Document - subtype:      

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Document - stage:           Candidate SWG Draft

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Document - language:     English

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License Agreement

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- Contents -

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 TOC - \o "1-2" \h \z \u - -Copyright notice -. - - - PAGEREF _Toc276646999 \h - 1 -

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- - -Note -. - - - PAGEREF _Toc282647483 \h - 1 - - -

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- - -License Agreement -. - - - PAGEREF _Toc117242736 \h - 1 - - -

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- - -Notice -. - - - PAGEREF _Toc181373155 \h - 1 - - -

- -

- - -I. Abstract -. - - - PAGEREF _Toc131962331 \h - 1 - - -

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- - -II. Keywords -. - - - PAGEREF _Toc589990640 \h - 1 - - -

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- - -III. Preface -. - - - PAGEREF _Toc900017375 \h - 1 - - -

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- - -IV. Security Considerations -. - - - PAGEREF _Toc216878949 \h - 1 - - -

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- - -V. Submitting Organizations -. - - - PAGEREF _Toc994718925 \h - 1 - - -

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- - -VI. Submitters -. - - - PAGEREF _Toc555491552 \h - 1 - - -

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- - -VII. Introduction -. - - - PAGEREF _Toc948110351 \h - 1 - - -

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- - -1. Scope -. - - - PAGEREF _Toc627352006 \h - 1 - - -

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- - -2. Conformance -. - - - PAGEREF _Toc331171690 \h - 1 - - -

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- - -3. Normative references -. - - - PAGEREF _Toc769350262 \h - 1 - - -

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- - -4. Terms and definitions -. - - - PAGEREF _Toc169346806 \h - 1 - - -

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- - -5. Conventions -. - - - PAGEREF _Toc700034775 \h - 1 - - -

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- - -5.1. Abbreviated terms -. - - - PAGEREF _Toc877929141 \h - 1 - - -

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- - -5.2. Identifiers -. - - - PAGEREF _Toc090514413 \h - 1 - - -

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- - -6. Characteristics of an Abstract Conceptual Model -. - - - PAGEREF _Toc536841513 \h - 1 - - -

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- - -7. Temporal Abstract Conceptual Model -. - - - PAGEREF _Toc704755306 \h - 1 - - -

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- - -8. Temporal regimes -. - - - PAGEREF _Toc051809070 \h - 1 - - -

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- - -8.1. General -. - - - PAGEREF _Toc335577582 \h - 1 - - -

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- - -8.2. Events and Operators -. - - - PAGEREF _Toc190168876 \h - 1 - - -

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- - -8.3. Simple Clocks and Discrete Timescales -. - - - PAGEREF _Toc660294441 \h - 1 - - -

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- - -8.4. CRS and Continuous Timescales -. - - - PAGEREF _Toc424199163 \h - 1 - - -

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- - -8.5. Calendars -. - - - PAGEREF _Toc233588421 \h - 1 - - -

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- - -8.6. Other Regimes -. - - - PAGEREF _Toc070178737 \h - 1 - - -

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- - -9. Notation -. - - - PAGEREF _Toc620500649 \h - 1 - - -

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- - -10. Attributes of the Regimes/Classes -. - - - PAGEREF _Toc211810650 \h - 1 - - -

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- - -10.1. Attributes of Events and Ordinal Temporal Reference Systems -. - - - PAGEREF _Toc196332643 \h - 1 - - -

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- - -10.2. Attributes of simple Clock and Discrete Timescale -. - - - PAGEREF _Toc196900241 \h - 1 - - -

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- - -10.3. Attributes of a CRS and Continuous Timescales -. - - - PAGEREF _Toc009665294 \h - 1 - - -

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- - -11. Attributes of Calendars -. - - - PAGEREF _Toc495890289 \h - 1 - - -

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- - -12. Synchronisation of clocks -. - - - PAGEREF _Toc989970650 \h - 1 - - -

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- - -13. Abstract Temporal Reference Model -. - - - PAGEREF _Toc039506574 \h - 1 - - -

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- - -13.1. Context -. - - - PAGEREF _Toc795016196 \h - 1 - - -

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- - -Annex A (normative) Annex Title -. - - - PAGEREF _Toc244148903 \h - 1 - - -

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- - -Bibliography -. - - - PAGEREF _Toc666399006 \h - 1 - - -

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I.  Abstract

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Traditionally, geospatial communities used 2D coordinates and the vertical and temporal aspects were considered attributes rather than fully fledged coordinate systems. In an increasingly dynamic, speedier and multidimensional world, much confusion and lack of interoperability has occurred because of inconsistent approaches to time. Much effort has been expended by various international bodies to establish the Gregorian Calendar as a consistent timeline. This suffices for low precision, such as to the nearest minute, but not so when second or sub-second accuracy is required. For example, there has been differing practices and no consensus on whether leap seconds should be part of the Gregorian timeline.

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The fundamental concepts of events, clocks, timescales, coordinates and calendars have been long established, but there is no clear, straightforward defining document. This document aims to to give clear consistent definitions of the fundamental concepts and terminology, so that people are well aware of the advantages and disadvantages of adopting a particular technological approach and then perhaps they can contribute to building better and more interoperable systems using other more detailed documents such as logical and implementation standards that have an agreed common conceptual basis and terminology.

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This document is consistent with ISO 19111 and W3C REC-owl-time-20171019 in OWL.

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The aim of this document is to establish clear concepts and terminology.

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II.  Keywords

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The following are keywords to be used by search engines and - document catalogues.

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ogcdoc, OGC document, abstract specification, conceptual model, time, temporal referencing, referencing by coordinates, calendar, clock, timescale

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III.  Preface

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Attention is drawn to the possibility that some of the elements of this document may be the -subject of patent rights. The Open Geospatial Consortium shall not be held responsible for -identifying any or all such patent rights.

-

Recipients of this document are requested to submit, with their comments, notification of any -relevant patent claims or other intellectual property rights of which they may be aware that -might be infringed by any implementation of the standard set forth in this document, and to -provide supporting documentation.

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IV.  Security Considerations

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No security considerations have been made for this document.

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V.  Submitting Organizations

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The following organizations submitted this Document to the - Open Geospatial Consortium (OGC):

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Met Office, HeazelTech

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VI.  Submitters

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All questions regarding this submission should be directed to the editor or the -submitters:

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NameAffiliation
Chris Little (editor)Met Office
Chuck HeazelHeazelTech
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VII.  Introduction

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When OGC standards involve time, they generally refer to the ISO documents such -as ISO 19108 (now largely superseded), ISO 19111, ISO 8601, and -their freely available OGC equivalents, such as OGC 18-005r4 (the equivalent -to ISO 19111).

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Much effort over decades has gone into establishing complex structures to -represent calendar based time, such as the ISO 8601 notation, and many -date-time schemas. Because of this effort, many people use calendar based -“coordinates”, with the attendant ambiguities, imprecision and inappropriate -scope.

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The aim of this document is to establish clear concepts and terminology, so that -people are well aware of the advantages and disadvantages of adopting a -particular technological approach and then perhaps contribute to building better -interoperable systems.

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Topic nn - Abstract Conceptual Model for Time

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1.  Scope

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This document defines the major underlying concepts regarding time. It does not define any concrete temporal reference systems or give detailed guidance on implementations.

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2.  Conformance

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Clause 6 of this International Standard uses the Unified Modeling Language (UML) to present -conceptual schemas for describing the higher level classes of time and temporal reference systems. These schemas define conceptual classes that

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a) may be considered to comprise a cross-domain application schema, or

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b) may be used in application schemas, profiles and implementation specifications.

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This flexibility is controlled by a set of UML types that can be implemented in a variety of manners. Use of -alternative names that are more familiar in a particular application is acceptable, provided that there is a one- -to-one mapping to classes and properties in this International Standard. -The UML model in this International Standard defines conceptual classes; various software systems define -implementation classes or data structures. All of these reference the same information content. The same -name may be used in implementations as in the model, so that types defined in the UML model may be used -directly in application schemas.

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Annex A defines a set of conformance tests that will support applications whose requirements range from the -minimum necessary to define data structures to full object implementation.

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3.  Normative references

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The following documents are referred to in the text in such a way that some or all of their content constitutes requirements of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.

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ISO: ISO 19111:2019, Geographic information – Referencing by coordinates, 2019, https://www.iso.org/standard/74039.html

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W3C: Time Ontology in OWL, 2017, https://www.w3.org/TR/2017/REC-owl-time-20171019/Unresolved directive in sections/03-references.adoc — include::..\..\..\Temporal-Abstract-Spec — Copy\abstract-specification\sections\03-references.adoc[]

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4.  Terms and definitions

This document uses the terms defined in OGC Policy Directive 49, which is based on the ISO/IEC Directives, Part 2, Rules for the structure and drafting of International Standards. In particular, the word “shall” (not “must”) is the verb form used to indicate a requirement to be strictly followed to conform to this document and OGC documents do not use the equivalent phrases in the ISO/IEC Directives, Part 2.

This document also uses terms defined in the OGC Standard for Modular specifications (OGC 08-131r3), also known as the ‘ModSpec’. The definitions of terms such as standard, specification, requirement, and conformance test are provided in the ModSpec.

For the purposes of this document, the following additional terms and definitions apply.

4.1. conceptual model

-

description of common concepts and their relationships, particularly in order to -facilitate exchange of information between parties within a specific domain. A -conceptual model is explicitly chosen to be independent of design or -implementation concerns.

- - -

[SOURCE: ]

4.2. compound coordinate reference system

-

coordinate reference system using at least two independent coordinate reference systems

- - - - -

Note 1 to entry: Coordinate reference systems are independent of each other if coordinate -values in one cannot be converted or transformed into coordinate values in the -other.

[SOURCE: ISO 19111]

4.3. coordinate

-

one of a sequence of numbers designating the position of a point

- - - - -

Note 1 to entry: In a spatial coordinate reference system, the coordinate numbers are -qualified by units.

[SOURCE: ISO 19111]

4.4. coordinate epoch

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epoch to which coordinates in a dynamic coordinate reference system are referenced

- - -

[SOURCE: ISO 19111]

4.5. coordinate reference system

-

coordinate system that is related to an object by a datum

- - - - - - -

Note 1 to entry: Geodetic and vertical datums are referred to as reference frames.

Note 2 to entry: For geodetic and vertical reference frames, the object will be the Earth. In planetary applications, geodetic and vertical reference frames may be applied to other celestial bodies.

[SOURCE: ISO 19111]

4.6. coordinate system

-

set of mathematical rules for specifying how coordinates are to be assigned to points

- - -

[SOURCE: ISO 19111]

4.7. datum

reference frame ADMITTED

- - - -

parameter or set of parameters that realize the position of the origin, the scale, and the orientation of a coordinate system

- - -

[SOURCE: ISO 19111]

4.8. derived coordinate reference system

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coordinate reference system that is defined through the application of a specified coordinate conversion to the coordinates within a previously established coordinate reference system

- - - - - - - - -

Note 1 to entry: The previously established coordinate reference system is referred to as the base coordinate reference system.

Note 2 to entry: A derived coordinate reference system inherits its datum or reference frame from its base coordinate reference system.

Note 3 to entry: The coordinate conversion between the base and derived coordinate reference system is implemented using the parameters and formula(s) specified in the definition of the coordinate conversion.

[SOURCE: ISO 19111]

4.9. dynamic coordinate reference system

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coordinate reference system that has a dynamic reference frame

- - - - - - -

Note 1 to entry: Coordinates of points on or near the crust of the Earth that are referenced to a dynamic coordinate reference system may change with time, usually due to crustal deformations such as tectonic motion and glacial isostatic adjustment.

Note 2 to entry: Metadata for a dataset referenced to a dynamic coordinate reference system should include coordinate epoch information.

[SOURCE: ISO 19111]

4.10. dynamic reference frame

dynamic datum ADMITTED

- - - -

reference frame in which the defining parameters include time evolution

- - - - -

Note 1 to entry: The defining parameters that have time evolution are usually a coordinate set.

[SOURCE: ISO 19111]

4.11. engineering coordinate reference system

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coordinate reference system based on an engineering datum

- - - - - - -

Example 1

System for identifying relative positions within a few kilometres of the reference point, such as a building or construction site.

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Example 2

Coordinate reference system local to a moving object such as a ship or an orbiting spacecraft.

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Example 3

Internal coordinate reference system for an image. This has continuous axes. It may be the foundation for a grid.

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4.12. engineering datum

local datum ADMITTED

- - - -

datum describing the relationship of a coordinate system to a local reference

- - - - -

Note 1 to entry: Engineering datum excludes both geodetic and vertical reference frames.

[SOURCE: ISO 19111]

4.13. epoch

- - -

<geodesy> point in time

- - - - - - -

Note 1 to entry: In this document an epoch is expressed in the Gregorian calendar as a decimal year.

Example

2017-03-25 in the Gregorian calendar is epoch 2017.23.

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[SOURCE: ISO 19111]

4.14. frame reference epoch

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epoch of coordinates that define a dynamic reference frame

- - -

[SOURCE: ISO 19111]

4.15. linear coordinate system

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one-dimensional coordinate system in which a linear feature forms the axis

- - - - - - -

Example 1

Distances along a pipeline.

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Example 2

Depths down a deviated oil well bore.

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[SOURCE: ISO 19111]

4.16. parameter reference epoch

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epoch at which the parameter values of a time-dependent coordinate transformation are valid

- - - - -

Note 1 to entry: The transformation parameter values first need to be propagated to the epoch of the coordinates before the coordinate transformation can be applied.

[SOURCE: ISO 19111]

4.17. parametric coordinate reference system

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coordinate reference system based on a parametric datum

- - -

[SOURCE: ISO 19111]

4.18. parametric coordinate system

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one-dimensional coordinate system where the axis units are parameter values which are not inherently spatial

- - -

[SOURCE: ISO 19111]

4.19. parametric datum

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datum describing the relationship of a parametric coordinate system to an object

- - - - -

Note 1 to entry: The object is normally the Earth.

[SOURCE: ISO 19111]

4.20. point motion operation

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coordinate operation that changes coordinates within one coordinate reference system due to the motion of the point

- - - - - - -

Note 1 to entry: The change of coordinates is from those at an initial epoch to those at another epoch.

Note 2 to entry: In this document the point motion is due to tectonic motion or crustal deformation.

[SOURCE: ISO 19111]

4.21. reference frame

datum ADMITTED

- - - -

parameter or set of parameters that realize the position of the origin, the scale, and the orientation of a coordinate system

- - -

[SOURCE: ISO 19111]

4.22. spatio-parametric coordinate reference system

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compound coordinate reference system in which one constituent coordinate reference system is a spatial coordinate reference system and one is a parametric coordinate reference system

- - - - -

Note 1 to entry: Normally the spatial component is “horizontal” and the parametric component is “vertical”.

[SOURCE: ISO 19111]

4.23. spatio-parametric-temporal coordinate reference system

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compound coordinate reference system comprised of spatial, parametric and temporal coordinate reference systems

- - -

[SOURCE: ISO 19111]

4.24. spatio-temporal coordinate reference system

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compound coordinate reference system in which one constituent coordinate reference system is a spatial coordinate reference system and one is a temporal coordinate reference system

- - -

[SOURCE: ISO 19111]

4.25. static coordinate reference system

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coordinate reference system that has a static reference frame

- - - - - - -

Note 1 to entry: Coordinates of points on or near the crust of the Earth that are referenced to a static coordinate reference system do not change with time.

Note 2 to entry: Metadata for a dataset referenced to a static coordinate reference system does not require coordinate epoch information.

[SOURCE: ISO 19111]

4.26. static reference frame

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static datum

reference frame in which the defining parameters exclude time evolution

- - - - -

[SOURCE: ISO 19111]

4.27. temporal coordinate reference system

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coordinate reference system based on a temporal datum

- - -

[SOURCE: ISO 19111]

4.28. temporal coordinate system

- - -

<geodesy> one-dimensional coordinate system where the axis is time

- - -

[SOURCE: ISO 19111]

4.29. temporal datum

-

datum describing the relationship of a temporal coordinate system to an object

- - - - -

Note 1 to entry: The object is normally time on the Earth.

[SOURCE: ISO 19111]

4.30. terrestrial reference system

TRS ADMITTED

- - - -

set of conventions defining the origin, scale, orientation and time evolution of a spatial reference system co-rotating with the Earth in its diurnal motion in space

- - - - -

Note 1 to entry: The abstract concept of a TRS is realised through a terrestrial reference frame that usually consists of a set of physical points with precisely determined coordinates and optionally their rates of change. In this document terrestrial reference frame is included within the geodetic reference frame element of the data model

[SOURCE: ISO 19111]

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5.  Conventions

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5.1.  Abbreviated terms

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CRS

Coordinate Reference System

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TRS

Temporal Reference System

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UML

Unified Modelling Language

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2D

2-dimensional

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3D

3-dimensional

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5.2.  Identifiers

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The normative provisions in this standard are denoted by the URI:

- -

http://www.opengis.net/spec/{standard}/{m.n}

- -

All requirements and conformance tests that appear in this document are denoted -by partial URIs which are relative to this base.

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6.  Characteristics of an Abstract Conceptual Model

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The terms and definitions clause in this Abstract Specification provides a short definition for “conceptual model”. This clause provides additional information on the OGC use of “conceptual model”.

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A conceptual model organizes the vocabulary needed to communicate consistently and thoroughly about the know-how of a problem domain. The aim of a conceptual model is to express the meaning of terms and concepts used by domain experts to discuss the problem, and to find the correct relationships between different concepts.

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A conceptual model:

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is a representation of a system, made of the composition of concepts which are -used to help people know, understand, or simulate a subject the model -represents. A documented conceptual model represents ‘concepts’ (entities), the -relationships between them, and a vocabulary; -

-

is explicitly defined to be independent of design or implementation concerns; -

-

organizes the vocabulary needed to communicate consistently and thoroughly -about the know-how of a problem domain; -

-

starts with a glossary of terms and definitions. There is a very high premium -on high-quality, design-independent definitions, free of data or implementation -biases; the model also emphasizes rich vocabulary; and -

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is always about identifying the correct choice of terms to use in -communications, including statements of rules and requirements, especially where -high precision and subtle distinctions need to be made. The core concepts of a -temporal geospatial problem domain are typically quite stable over time. -

- -
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7.  Temporal Abstract Conceptual Model

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This attempt at a Temporal Abstract Conceptual Model follows ISO 19111, -which is the ISO adoption of OGC 18-005r4.

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The model is also informed by W3C REC-owl-time-20171019.

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NOTE  This Mermaid diagram should be converted to PlantUML for Metanorma, by replacing -the Mermaid container with the following.

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@startuml
.
.
@enduml

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Figure 1

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classDiagram
class ReferenceSystem {
       Dimension 1..*
       ApplicableLocationTimeOrDomain 1
       AuthoritativeOwnerOrDefiningBody 1
    }
    class SpatialReferenceSystem {
       Dimension 1..*
       ApplicableLocationTimeOrDomain 1
       AuthoritativeOwnerOrDefiningBody 1
    }
    class TemporalReferenceSystem {
       Dimension 1
       ApplicableLocationTimeOrDomain 1
       AuthoritativeOwnerOrDefiningBody 1
    }
ReferenceSystem "1" <|-- "1..*" SpatialReferenceSystem
ReferenceSystem "1" <|-- "1..*" TemporalReferenceSystem
    TemporalReferenceSystem "0..1" <|-- "1" TemporalCoordinateReferenceSystem
    TemporalReferenceSystem "0..1" <|-- "1" Calendar
    TemporalReferenceSystem "0..1" <|-- "1" OrdinalTemporalReferenceSystem
class TemporalCoordinateReferenceSystem {
NameOrId
OptionalEpochDefinedInSomeOtherTemporalReferenceSystem
OptionalNameForEachTick
OptionalEndTimeOrCount
OptionalLocation
OptionalNotation
}
TemporalCoordinateReferenceSystem "1" o-- "1" Timescale
TemporalCoordinateReferenceSystem "1" o-- "1" Epoch
TemporalCoordinateReferenceSystem "1" --> "1..*" Notation
class Calendar {
   NameOrId
   AstronomicalAttribute [e.g. solar, sidereal, lunar, luni-solar]
   PredictiveAttribute [e.g. observed or calculated]
   EpochOrStartTime
   OptionalEndTime
   OptionalLocationOrRegionOfApplicability
   ConstituentUnitsOrClocksAndCountsOrTimescales
   OptionalNotation
   }
Calendar "1" o-- "0..1" Epoch
Calendar "1" o-- "1..*" Timescale
Calendar "1" o-- "1" Algorithm
Calendar "1" --> "1..*" Notation
class OrdinalTemporalReferenceSystem {
    NameOrId
    ListedOrEnumeratedSequenceOfEvents
    FirstAndLastEvents
    OptionalEpochDefinedInSomeOtherTemporalReferenceSystem
    OptionalLocationOrRegionOfApplicability
    OptionalNotations
    }
OrdinalTemporalReferenceSystem "1" o-- "0..1" Epoch
OrdinalTemporalReferenceSystem "1" o-- "2..*" Event
OrdinalTemporalReferenceSystem "1" --> "1..*" Notation
Timescale "1" o-- "1" Clock

-

Figure 2

-
-
-

8.  Temporal regimes

-

8.1.  General

- -

To help us think more clearly about time, this paper adopts the term “Regime” to describe the fundamentally different types of time and its measurement under consideration. This is a pragmatic approach that allows the grouping of recommendations and best practices in a practical way, but without obscuring the connection to the underlying theoretical components.

- -

The first three regimes have deep underlying physical and mathematical foundations which cannot be legislated away. The fourth regime, of calendars, uses a seemingly random mixture of ad hoc algorithms, arithmetic, numerology and measurements. Paradoxically, this regime has historically driven advances in mathematics and physics.

- -

The regimes are applicable to other planets and outer space, but with due consideration.

-
-

8.2.  Events and Operators

- -

The simplest way of relating entities in time is by events that can be ordered, that is, established in a sequence, and this sequence is used as an approximate measure of the passage of time.

- -

In this regime, no clocks or time measurements are defined, only events, that are ordered in relation to each other. For example, geological layers, sediment or ice core layers, archaeological sequences, sequential entries in computer logs without coordinated time.

- -

One set of events may be completely ordered with respect to each other, but another set of similar internally consistent events cannot be cross-referenced until extra information is available. Even then, only partial orderings may be possible.

- -

In this regime, the Allen Operators (Maintaining Knowledge about Temporal Intervals) can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So in our example, B occurs in the interval (A,C). However, we cannot perform arithmetic operations like (B-A) or (C-A) as we have not defined any timescale or measurements. For example, ‘subtracting’ Ordovician from Jurassic is meaningless.

- -

This regime constitutes an Ordinal Temporal Reference System, with discrete enumerated ordered events.

-
-

8.3.  Simple Clocks and Discrete Timescales

- -

In this regime, a clock is defined as any regularly repeating physical phenomena, such as pendulum swings, earth’s rotation about sun, earth’s rotation about its axis, heart beats, vibrations of electrically stimulated quartz crystals or the resonance of the unperturbed ground-state hyperfine transition frequency of the caesium 133 atom. Some phenomena make better clocks that others, in terms of the number of repetitions possible, the consistency of each repetition and the precision of each ‘tick’. A mechanism for counting, or possibly measuring, the ticks is desirable.

- -

It is an assumption that the ticks are regular and homogeneous.

- -

There is no sub-division between two successive clock ticks. Measuring time consists of counting the complete number of repetitions of ticks since the clock started, or since some other event at a given clock count.

- -

There is no time measurement before the clock started, or after it stops.

- -

It may seem that time can be measured between ‘ticks’ by interpolation, but this needs another clock, with faster ticks. This process of devising more precise clocks continues down to the atomic scale, and then the process of physically trying to interpolate between ticks is not possible.

- -

The internationally agreed atomic time, TAI, is an example of a timescale with an integer count as the measure of time, though in practice it is an arithmetic compromise across about two hundred separate atomic clocks, corrected for differing altitudes and temperatures.

- -

In this regime, the Allen Operators (Maintaining Knowledge about Temporal Intervals) also can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So if B occurs in the interval (A,C), we can now perform integer arithmetic operations like (B-A) or (C-A) as we have defined a timescale or measurement.

- -

This regime constitutes a Temporal Coordinate Reference System, with discrete integer units of measure which can be subject to integer arithmetic.

-
-

8.4.  CRS and Continuous Timescales

- -

This regime takes a clock from the previous regime ands assumes that between any two adjacent ticks, it is possible to interpolate indefinitely to finer and finer precision, using ordinary arithmetic, rather than any physical device.

- -

Alternatively, it may be that the ticks are not counted but measured, and the precision of the clock is determined by the precision of the measurements, such as depth in an ince core, or angular position of an astronomical body,such as the sun, moon or a star.

- -

It is also assumed that time can be extrapolated to before the time when the clock started and into the future, possibly past when the clock stops.

- -

This gives us a continuous number line to perform theoretical measurements. It is a coordinate system. With a datum/origin/epoch, a unit of measure (a name for the ‘tick marks’ on the axis), positive and negative directions and the full range of normal arithmetic. It is a Coordinate Reference System.

- -

In this regime, the Allen Operators (Maintaining Knowledge about Temporal Intervals) also can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So if B occurs in the interval (A,C), we can now perform real number arithmetic operations like (B-A) or (C-A) as we have defined a timescale or measurement, and between any two instants, we can always find an infinite number of other instants.

- -

Some examples are:

- -

Unix milliseconds since 1970-01-01T00:00:00.0Z -

-

Julian Days, and fractions of a day, since noon on 1st January, 4713 BCE. -

- - -

This regime constitutes a Temporal Coordinate Reference System, with continuous, floating-point, units of measure, which can be subject to the full range of real arithmetic.

-
-

8.5.  Calendars

- -

In this regime, counts and measures of time are related to the various combinations of the rotations of the earth, moon and sun or other astronomical bodies. There is no simple arithmetic, so for example, the current civil year count of years in the Current Era (CE) and Before Current Era (BCE) is a calendar, albeit a very simple one, as there is no year zero. That is, Year 14CE – Year 12CE is a duration of 2 years, and Year 12BCE — Year 14BCE is also two years. However Year 1CE — Year 1BCE is one year, not two as there is no year 0CE or 0BCE.

- -

Calendars are social constructs made by combining several clocks and their associated timescales.

- -

This paper only addresses the internationally agreed Gregorian calendar. Astronomical Algorithms provides overwhelming detail for conversion to numerous other calendars that have developed around the world and over the millennia and to meet the various social needs of communities, whether agricultural, religious or other. The reference is comprehensive but not exhaustive, as there are calendars that have been omitted.

- -

A Calendar is a Temporal Reference System, but it is not a Temporal Coordinate Reference System nor an Ordinal Temporal Reference System.

-
-

8.6.  Other Regimes

- -

8.6.1.  General

- -

There may in fact be a series of other regimes, which are out of scope of this document. This could include local solar time, useful, for example, for the calculation of illumination levels and the length of shadows on aerial photography, or relativistic time.

-
- -

8.6.2.  Local Solar Time

- -

Local solar time may or may not correspond to the local statutory or legal time in a country. Local solar time can be construed as a clock and timescale, with an angular measure of of the apparent position of the sun along the ecliptic (path through the sky) as the basic physical principle.

-
- -

8.6.3.  Spacetime

- -

When dealing with moving objects, we find that the location of the object in space depends on its location in time. That is to say, that the location is an event in space and time.

- -

Originally developed by Hermann Minknowski to support work in Special Relativity, the concept of Spacetime is useful whenever the location of an object in space is dependent on its location in time.

- -

Since the speed of light in a vacum is a constant, Spacetime uses that constant to create a coordinate axis with spatial units of measure (meters per second * seconds = meters). The result is coordinate reference system with four orthagonal axis all with the same units of measure.

-
- -

8.6.4.  Relativistic

- -

A regime may be needed for ‘space-time’, off the planet Earth, such as for recording and predicting space weather approaching from the sun, where the speed of light and relativistic effects may be relevant.

- -

Once off the planet Earth, distances and velocities grow very large. The speed of light becomes a limiting factor in measuring both where and when an event takes place. Special Relativity deals with the accurate measurement of Spacetime events as measured between two moving objects. The core concepts are the Lorentz Transforms. These transforms allow one to calculate the degree of “contraction” a measurement undergos due to the relative velocity between the observing and observed object.

- -

The key to this approach is to ensure each moving feature of interest has its own local clock and time, known as its ‘proper time’. This example can be construed as a fitting into the clock and timescale regime. The relativistic effects are addressed through the relationships between the separate clocks, positions and velocities of the features.

- -

Relativistic effects may need to be taken into account for satellites and other space craft because of their relative speed and position in Earth’s gravity well.

-
- -

8.6.5.  Accountancy

- -

The financial and administrative domains often use weeks, quarters, and other calendrical measures. These may be convenient (though often not!) for the requisite tasks, but are usually inappropriate for scientific or technical purposes.

-
-
-
-
-

9.  Notation

-

There are often widely agreed, commonly accepted, notations used for temporal reference systems, but few have been standardised. Any particular notation may be capable of expressing a wider range of times than are valid for the reference system.

-

Example

-

The [IETF_RFC_3999] timestamp notation, a restrictive profile of ISO 8601, -can express times before 1588CE, when the Gregorian calendar was first -introduced in some parts of the world.

-
-
-
-

10.  Attributes of the Regimes/Classes

-

The top level Reference System is a super-class and does not have many attributes or properties. So far, only the dimension of the reference system and the Location, Time or Domain of Applicability have been identified as essential.

-

The Dimension is one for time, or a vertical reference system, but may be as much as 6 for spatial location and orientation.

-

Besides the conventional space and time, there may be other reference systems, such as wavelength/frequency, that can be addressed by the Abstract Conceptual Model.

-

10.1.  Attributes of Events and Ordinal Temporal Reference Systems

- -

Name/Id -

-

Listed or enumerated sequence of events -

-

First and last events -

-

Optional Epoch, defined in some other temporal reference system -

-

Optional location or region of applicability -

-

Optional notations -

- - -

Example

Ancient annals of a country may give a sequence of emperors which could be used -to ‘date’ another event such as “Emperor Xi built a canal”, or may be used to -date a particular reign. For example: “In the reign of Emperor Yi, a comet was -sighted” and later research identifies this as an appearance of Hailey’s Comet.

-
- -

The events from the list may be instants, such as the change of reign, or intervals, such as the complete reign of each emperor.

- -

Other documents may enable two such ‘king lists’ to be related, though not completely.

-
-

10.2.  Attributes of simple Clock and Discrete Timescale

- -

Name/Id -

-

Optional Epoch/starting time defined in some other temporal reference system -

-

Optional name for each tick -

-

Optional End time or count -

-

Optional location -

-

Optional Notation -

- - -

Example

A well preserved fossilised log is recovered and the tree rings establish an -annual ‘tick’. The start and end times may be known accurately by comparison and -matching with other known tree ring sequences, or perhaps only dated imprecisely -via Carbon Dating, or its archaeological or geological context.

-
-
-

10.3.  Attributes of a CRS and Continuous Timescales

- -

Name/Id -

-

Optional Epoch/starting time, defined in some other temporal reference system -

-

Optional name for the measure -

-

Optional End time or measure -

-

Optional location -

-

Optional Notation -

- - -

Example

A long ice core is retrieved from a stable ice-sheet. From long term -meteorological observations, the rate of accumulation of ice is known, so linear -length can be equated to time (assuming a stable climate too). This enable the -dates of some previously unknown large scale volcanic eruptions to be identified -and timed. Identifiable nuclear fallout from specific atmospheric atomic bomb -tests increase the confidence in the timing accuracy.

-
-
-
-
-

11.  Attributes of Calendars

-

Name/id -

-

Astronomical Type (e.g. solar, sidereal, lunar, luni-solar) -

-

Predictive type (e.g. observed or calculated) -

-

Epoch/start time -

-

Optional end time -

-

Optional location or region of applicability -

-

Constituent units or clocks and counts or timescales -

-

Optional Notation -

- -

Example 1

-

The modern Gregorian calendar is calculated solar calendar, with various epochs -from 1588 CE through to 1922 CE depending on location or country.

-
-

+ -The constituent timescales are days (earth’s rotations), months (moon’s orbit -around the earth), years (earth’s orbit around the sun) and seconds determined -by atomic clocks. To accommodate discrepancies, leap days and leap seconds are -intercalated in some years. The commonest notations for the Gregorian calendar -are ISO 8601 and its various restrictive profiles.

-

Example 2

-

The modern Islamic calendar is an observed lunar calendar, and the major -religious dates progress throughout the year, year on year. The important months -are determined by the observation of new moons from Mecca.

-
-

Example 3

-

The modern Jewish calendar is a calculated luni-solar calendar, and -discrepancies in the solar year are addressed by adding ‘leap months’ every few -years.

-
-

Example 4

-

The Ba’hai calendar is a calculated solar calendar, but without any other -astronomical aspects. The year consists of 19 months of 19 days each, with 4 or -5 intercalated days for a new year holiday.

-
-

Example 5

-

The West African Yoruba traditional calendar is a solar calendar with months, -but rather than subdividing a nominal month of 28 days into 4 weeks, 7 weeks of -4 days are used. This perhaps gave rise to the fortnightly (every 8 days) -markets in many villages in the grasslands of north-west Cameroun.

-
-

Example 6

-

Teams controlling remote vehicles on Mars use a solar calendar, with Martian -years and martian days (called sols). Months are not used because there are two -moons, with different, rather short, ‘months’.

-
-
-
-

12.  Synchronisation of clocks

-

If there are two or more clocks, stationary with respect to each other, and a practical method of communicating their times to each other, the clocks can be perfectly synchronized.

-

However, if the clocks are moving with respect to each other, they cannot be precisely coordinated (unless the communication is instantaneous). As communication speed is limited by the finite constant speed of light, perfect synchronisation is not possible, though repetitive protocols can be used to reduce the synchronization error to any practical desired level.

-

See A Brief History of Timekeeping, Page 187-191.

-
-
-

13.  Abstract Temporal Reference Model

-

13.1.  Context

- -

When OGC standards involve time, they generally refer to the ISO documents such -as ISO 19108, ISO 19111, ISO 8601, and their freely available OGC -equivalents, such as Abstract Specification Topic 2 Referencing by Coordinates -(equivalent to <<ISO_19111>).

- -

When dealing with temporal reference systems, it is necessary to understand all -of these standards and how they interact. ISO Technical Committee 211 (ISO/TC -211) provides a useful tool for integrating their standards. The -ISO/TC 211 Harmonized Model Management Group -provides a single integrated model for most of the ISO/TC 211 standards. That -model will provide the foundation for the Abstract Temporal Reference Model.

- -

The Abstract Temporal Reference Model is a “Conceptual” model. It both defines concepts and the associations between those concepts. This “conceptual” model is an extension of a higher level “Semantic” model.

- -

The W3C Time Ontology (W3C REC-owl-time-20171019) is illustrated below.

- -

W3C Time Ontology

Figure 3

- -

The Abstract Temporal Model divides the world into Spatial, Temporal, and SpatialTemporal Reference Systems.

- -

Abstract Temporal Model

Figure 4

- -

The Temporal Reference System is further divided into Temporal Coordinate Reference Systems and Temporal Ordinal Reference Systems.

- -

Temporal Reference System

Figure 5

- -

The Temporal Coordinate Reference Systems provide a link to ISO 19111 — Geographic information — Referencing by coordinates.

- -

Temporal Coordinate Reference System

Figure 6

- -

ISO 19111 provides a model for coordinate transformations which can be re-used for temporal coordinate reference systems.

- -

Temporal Coordinate Reference System

Figure 7

- -

Some Observations:

- -

Many temporal reference systems are not coordinate reference systems -

-

There is no temporal equivalent to the Compound Reference System -

-

DateTime should be represented as a compound reference system consisting of a TM_Calendar and TM_Clock reference system. -

-

TM_Calendar could be a type of TM_OrdinalReferenceSystem. -

-

TM_Clock should not be defined in terms of a “day”. Many clocks count elapsed time since an epoch. Date and time are not considered. -

-

TM_Clock should be a type of TM_CoordinateSystem -

-

TM_Calendar can be defined as a Compound Reference System composed of days, months, and years. This would allow to define meaningful calendars for the Moon, Mars, and other non-Terrestrial environments. -

-

Is there an ordinal equivalent to TM_Clock. Sunrise, noon, sunset, and midnight? -

-

Can a calendar be defined in terms of planting season, Saints days, or other arbitrary events? -

- -
-
-

-
-

-
-

Annex A
(normative)
Annex Title

-

<Insert annex content here>

-
-

NOTE  Place annex material in sequential order and set obligation attribute as “normative” (default) or “informative” according to the case.

-
-
-

-
-

-

Bibliography

-

[1] 

[2] 

[3] 

[4] 

[5] 

[6] 

[7]  OGC: GeoPose Specification draft, 2021, https://github.com/opengeospatial/GeoPose/

[8] 

[9] 

[10] 

[11] 

[12] 

[13] 

[14] 

[15] 

[16] 

[17]  Jean Meeus. Astronomical Algorithms. https://www.agopax.it/Libri_astronomia/pdf/Astronomical%20Algorithms.pdf

[18]  Consultative Committee for Space Data Systems. Navigation Data — Definitions and Conventions. 2019. https://public.ccsds.org/Pubs/500x0g4.pdf

[19]  Peter J.G. Teunissen, Oliver Montenbruck. Springer Handbook of Global Navigation Satellite Systems. https://doi.org/10.1007/978-3-319-42928-1

[20]  IERS. https://www.iers.org/IERS/EN/DataProducts/EarthOrientationData/eop.html

[21]  NASA NAIF. SPICE Documentation. https://naif.jpl.nasa.gov/naif/tutorials.html [last accessed 2023-01]

[22]  The Open Group. UNIX Time. https://pubs.opengroup.org/onlinepubs/9699919799/basedefs/V1_chap04.html#tag_04_16 [last accessed 2023-01]

[23]  Nachum Dershowitz, Edward M. Reingold. Calendrical Calculations — The Ultimate Edition. Cambridge University Press. 2018. ISBN-13: 978-1107683167. http://emr.cs.iit.edu/home/reingold/calendar-book/third-edition [last accessed 2023-01]

[24]  Chad Orzell. A Brief History of Timekeeping. Oneworld Publications. 2022. ISBN-13: 978-0-86154-321-2.

[25] 

[26]  H. Minkowski. Space and Time, Minkowski’s Papers on RelativityMinkowski Institute Press, Montreal 2012. https://minkowskiinstitute.org/ebookstore

[27] 

[28]  Allen, J. F. Maintaining Knowledge about Temporal IntervalsCommunications of the ACM, 1983, vol. 26 pp. 832-843.

[29] 

[30]  Bureau International des Poids et Mesures (BIPM). Establishment of International Atomic Time and Coordinated Universal Time. https://www.bipm.org/documents/20126/59466374/6_establishment_TAR20.pdf/5b18b648-0d5a-ee02-643d-a60ed6c148fc

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Candidate SWG Draft

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OGC Abstract Specification Topic

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- Topic nn - Abstract Conceptual Model for Time - -
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- - - - - - - Chris Little Editor - - Charles Heazel Editor - - -
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- Submission Date: 2023-05-23 - Approval Date: 2023-05-23 - Publication Date: 2023-05-23 - External identifier of this OGC® document: http://www.opengis.net/doc/AS/Temporal/1.0 - Internal identifier of this OGC® document: 23-032 - - -
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Candidate SWG Draft

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Notice

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This document is not an OGC Standard. This document is an OGC Abstract Specification Topic and is therefore not an official position of the OGC membership. It is distributed for review and comment. It is subject to change without notice and may not be referred to as an OGC Standard.

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Further, an OGC Abstract Specification Topic should not be referenced as required or mandatory technology in procurements.

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Document number:23-032
Document type:OGC Abstract Specification Topic
Document subtype:
Document stage:Candidate SWG Draft
Document language:English
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Copyright notice

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Copyright - © 2023 Open Geospatial Consortium
- To obtain additional rights of use, visit - http://www.ogc.org/legal/

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Note

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Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. The Open Geospatial Consortium shall not be held responsible for identifying any or all such patent rights.

- -

Recipients of this document are requested to submit, with their comments, notification of any relevant patent claims or other intellectual property rights of which they may be aware that might be infringed by any implementation of the standard set forth in this document, and to provide supporting documentation.

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License Agreement

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Permission is hereby granted by the Open Geospatial - Consortium, (“Licensor”), free of charge and subject to the terms set - forth below, to any person obtaining a copy of this Intellectual Property and - any associated documentation, to deal in the Intellectual Property without - restriction (except as set forth below), including without limitation the - rights to implement, use, copy, modify, merge, publish, distribute, and/or - sublicense copies of the Intellectual Property, and to permit persons to whom - the Intellectual Property is furnished to do so, provided that all copyright notices - on the intellectual property are retained intact and that each person to whom - the Intellectual Property is furnished agrees to the terms of this Agreement.

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I.  Abstract

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Traditionally, geospatial communities used 2D coordinates and the vertical and temporal aspects were considered attributes rather than fully fledged coordinate systems. In an increasingly dynamic, speedier and multidimensional world, much confusion and lack of interoperability has occurred because of inconsistent approaches to time. Much effort has been expended by various international bodies to establish the Gregorian Calendar as a consistent timeline. This suffices for low precision, such as to the nearest minute, but not so when second or sub-second accuracy is required. For example, there has been differing practices and no consensus on whether leap seconds should be part of the Gregorian timeline.

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The fundamental concepts of events, clocks, timescales, coordinates and calendars have been long established, but there is no clear, straightforward defining document. This document aims to to give clear consistent definitions of the fundamental concepts and terminology, so that people are well aware of the advantages and disadvantages of adopting a particular technological approach and then perhaps they can contribute to building better and more interoperable systems using other more detailed documents such as logical and implementation standards that have an agreed common conceptual basis and terminology.

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This document is consistent with ISO 19111 and W3C REC-owl-time-20171019 in OWL.

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The aim of this document is to establish clear concepts and terminology.

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II.  Keywords

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The following are keywords to be used by search engines and - document catalogues.

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ogcdoc, OGC document, abstract specification, conceptual model, time, temporal referencing, referencing by coordinates, calendar, clock, timescale

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III.  Preface

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Attention is drawn to the possibility that some of the elements of this document may be the -subject of patent rights. The Open Geospatial Consortium shall not be held responsible for -identifying any or all such patent rights.

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Recipients of this document are requested to submit, with their comments, notification of any -relevant patent claims or other intellectual property rights of which they may be aware that -might be infringed by any implementation of the standard set forth in this document, and to -provide supporting documentation.

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IV.  Security Considerations

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No security considerations have been made for this document.

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V.  Submitting Organizations

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The following organizations submitted this Document to the - Open Geospatial Consortium (OGC):

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  • Met Office, HeazelTech
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VI.  Submitters

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All questions regarding this submission should be directed to the editor or the -submitters:

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NameAffiliation
Chris Little (editor)Met Office
Chuck HeazelHeazelTech
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VII.  Introduction

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When OGC standards involve time, they generally refer to the ISO documents such -as ISO 19108 (now largely superseded), ISO 19111, ISO 8601, and -their freely available OGC equivalents, such as OGC 18-005r4 (the equivalent -to ISO 19111).

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Much effort over decades has gone into establishing complex structures to -represent calendar based time, such as the ISO 8601 notation, and many -date-time schemas. Because of this effort, many people use calendar based -“coordinates”, with the attendant ambiguities, imprecision and inappropriate -scope.

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The aim of this document is to establish clear concepts and terminology, so that -people are well aware of the advantages and disadvantages of adopting a -particular technological approach and then perhaps contribute to building better -interoperable systems.

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Topic nn - Abstract Conceptual Model for Time

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1.  Scope

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This document defines the major underlying concepts regarding time. It does not define any concrete temporal reference systems or give detailed guidance on implementations.

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2.  Conformance

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Clause 6 of this International Standard uses the Unified Modeling Language (UML) to present -conceptual schemas for describing the higher level classes of time and temporal reference systems. These schemas define conceptual classes that

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a) may be considered to comprise a cross-domain application schema, or

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b) may be used in application schemas, profiles and implementation specifications.

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This flexibility is controlled by a set of UML types that can be implemented in a variety of manners. Use of -alternative names that are more familiar in a particular application is acceptable, provided that there is a one- -to-one mapping to classes and properties in this International Standard. -The UML model in this International Standard defines conceptual classes; various software systems define -implementation classes or data structures. All of these reference the same information content. The same -name may be used in implementations as in the model, so that types defined in the UML model may be used -directly in application schemas.

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Annex A defines a set of conformance tests that will support applications whose requirements range from the -minimum necessary to define data structures to full object implementation.

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3.  Normative references

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The following documents are referred to in the text in such a way that some or all of their content constitutes requirements of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.

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ISO: ISO 19111:2019, Geographic information – Referencing by coordinates, 2019, https://www.iso.org/standard/74039.html

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W3C: Time Ontology in OWL, 2017, https://www.w3.org/TR/2017/REC-owl-time-20171019/Unresolved directive in sections/03-references.adoc — include::..\..\..\Temporal-Abstract-Spec — Copy\abstract-specification\sections\03-references.adoc[]

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4.  Terms and definitions

This document uses the terms defined in OGC Policy Directive 49, which is based on the ISO/IEC Directives, Part 2, Rules for the structure and drafting of International Standards. In particular, the word “shall” (not “must”) is the verb form used to indicate a requirement to be strictly followed to conform to this document and OGC documents do not use the equivalent phrases in the ISO/IEC Directives, Part 2.

This document also uses terms defined in the OGC Standard for Modular specifications (OGC 08-131r3), also known as the ‘ModSpec’. The definitions of terms such as standard, specification, requirement, and conformance test are provided in the ModSpec.

For the purposes of this document, the following additional terms and definitions apply.

4.1. conceptual model

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description of common concepts and their relationships, particularly in order to -facilitate exchange of information between parties within a specific domain. A -conceptual model is explicitly chosen to be independent of design or -implementation concerns.

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[SOURCE: ]

4.2. compound coordinate reference system

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coordinate reference system using at least two independent coordinate reference systems

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Note 1 to entry: Coordinate reference systems are independent of each other if coordinate -values in one cannot be converted or transformed into coordinate values in the -other.

[SOURCE: ISO 19111]

4.3. coordinate

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one of a sequence of numbers designating the position of a point

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Note 1 to entry: In a spatial coordinate reference system, the coordinate numbers are -qualified by units.

[SOURCE: ISO 19111]

4.4. coordinate epoch

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epoch to which coordinates in a dynamic coordinate reference system are referenced

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[SOURCE: ISO 19111]

4.5. coordinate reference system

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coordinate system that is related to an object by a datum

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Note 1 to entry: Geodetic and vertical datums are referred to as reference frames.

Note 2 to entry: For geodetic and vertical reference frames, the object will be the Earth. In planetary applications, geodetic and vertical reference frames may be applied to other celestial bodies.

[SOURCE: ISO 19111]

4.6. coordinate system

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set of mathematical rules for specifying how coordinates are to be assigned to points

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[SOURCE: ISO 19111]

4.7. datum

reference frame ADMITTED

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parameter or set of parameters that realize the position of the origin, the scale, and the orientation of a coordinate system

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[SOURCE: ISO 19111]

4.8. derived coordinate reference system

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coordinate reference system that is defined through the application of a specified coordinate conversion to the coordinates within a previously established coordinate reference system

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Note 1 to entry: The previously established coordinate reference system is referred to as the base coordinate reference system.

Note 2 to entry: A derived coordinate reference system inherits its datum or reference frame from its base coordinate reference system.

Note 3 to entry: The coordinate conversion between the base and derived coordinate reference system is implemented using the parameters and formula(s) specified in the definition of the coordinate conversion.

[SOURCE: ISO 19111]

4.9. dynamic coordinate reference system

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coordinate reference system that has a dynamic reference frame

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Note 1 to entry: Coordinates of points on or near the crust of the Earth that are referenced to a dynamic coordinate reference system may change with time, usually due to crustal deformations such as tectonic motion and glacial isostatic adjustment.

Note 2 to entry: Metadata for a dataset referenced to a dynamic coordinate reference system should include coordinate epoch information.

[SOURCE: ISO 19111]

4.10. dynamic reference frame

dynamic datum ADMITTED

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reference frame in which the defining parameters include time evolution

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Note 1 to entry: The defining parameters that have time evolution are usually a coordinate set.

[SOURCE: ISO 19111]

4.11. engineering coordinate reference system

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coordinate reference system based on an engineering datum

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Example 1

System for identifying relative positions within a few kilometres of the reference point, such as a building or construction site.

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Example 2

Coordinate reference system local to a moving object such as a ship or an orbiting spacecraft.

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Example 3

Internal coordinate reference system for an image. This has continuous axes. It may be the foundation for a grid.

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4.12. engineering datum

local datum ADMITTED

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datum describing the relationship of a coordinate system to a local reference

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Note 1 to entry: Engineering datum excludes both geodetic and vertical reference frames.

[SOURCE: ISO 19111]

4.13. epoch

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<geodesy> point in time

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Note 1 to entry: In this document an epoch is expressed in the Gregorian calendar as a decimal year.

Example

2017-03-25 in the Gregorian calendar is epoch 2017.23.

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[SOURCE: ISO 19111]

4.14. frame reference epoch

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epoch of coordinates that define a dynamic reference frame

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[SOURCE: ISO 19111]

4.15. linear coordinate system

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one-dimensional coordinate system in which a linear feature forms the axis

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Example 1

Distances along a pipeline.

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Example 2

Depths down a deviated oil well bore.

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[SOURCE: ISO 19111]

4.16. parameter reference epoch

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epoch at which the parameter values of a time-dependent coordinate transformation are valid

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Note 1 to entry: The transformation parameter values first need to be propagated to the epoch of the coordinates before the coordinate transformation can be applied.

[SOURCE: ISO 19111]

4.17. parametric coordinate reference system

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coordinate reference system based on a parametric datum

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[SOURCE: ISO 19111]

4.18. parametric coordinate system

-

one-dimensional coordinate system where the axis units are parameter values which are not inherently spatial

- - -

[SOURCE: ISO 19111]

4.19. parametric datum

-

datum describing the relationship of a parametric coordinate system to an object

- - - - -

Note 1 to entry: The object is normally the Earth.

[SOURCE: ISO 19111]

4.20. point motion operation

-

coordinate operation that changes coordinates within one coordinate reference system due to the motion of the point

- - - - - - -

Note 1 to entry: The change of coordinates is from those at an initial epoch to those at another epoch.

Note 2 to entry: In this document the point motion is due to tectonic motion or crustal deformation.

[SOURCE: ISO 19111]

4.21. reference frame

datum ADMITTED

- - - -

parameter or set of parameters that realize the position of the origin, the scale, and the orientation of a coordinate system

- - -

[SOURCE: ISO 19111]

4.22. spatio-parametric coordinate reference system

-

compound coordinate reference system in which one constituent coordinate reference system is a spatial coordinate reference system and one is a parametric coordinate reference system

- - - - -

Note 1 to entry: Normally the spatial component is “horizontal” and the parametric component is “vertical”.

[SOURCE: ISO 19111]

4.23. spatio-parametric-temporal coordinate reference system

-

compound coordinate reference system comprised of spatial, parametric and temporal coordinate reference systems

- - -

[SOURCE: ISO 19111]

4.24. spatio-temporal coordinate reference system

-

compound coordinate reference system in which one constituent coordinate reference system is a spatial coordinate reference system and one is a temporal coordinate reference system

- - -

[SOURCE: ISO 19111]

4.25. static coordinate reference system

-

coordinate reference system that has a static reference frame

- - - - - - -

Note 1 to entry: Coordinates of points on or near the crust of the Earth that are referenced to a static coordinate reference system do not change with time.

Note 2 to entry: Metadata for a dataset referenced to a static coordinate reference system does not require coordinate epoch information.

[SOURCE: ISO 19111]

4.26. static reference frame

-

static datum

reference frame in which the defining parameters exclude time evolution

- - - - -

[SOURCE: ISO 19111]

4.27. temporal coordinate reference system

-

coordinate reference system based on a temporal datum

- - -

[SOURCE: ISO 19111]

4.28. temporal coordinate system

- - -

<geodesy> one-dimensional coordinate system where the axis is time

- - -

[SOURCE: ISO 19111]

4.29. temporal datum

-

datum describing the relationship of a temporal coordinate system to an object

- - - - -

Note 1 to entry: The object is normally time on the Earth.

[SOURCE: ISO 19111]

4.30. terrestrial reference system

TRS ADMITTED

- - - -

set of conventions defining the origin, scale, orientation and time evolution of a spatial reference system co-rotating with the Earth in its diurnal motion in space

- - - - -

Note 1 to entry: The abstract concept of a TRS is realised through a terrestrial reference frame that usually consists of a set of physical points with precisely determined coordinates and optionally their rates of change. In this document terrestrial reference frame is included within the geodetic reference frame element of the data model

[SOURCE: ISO 19111]

-
-

5.  Conventions

-

5.1.  Abbreviated terms

- -

CRS

Coordinate Reference System

-

TRS

Temporal Reference System

-

UML

Unified Modelling Language

-

2D

2-dimensional

-

3D

3-dimensional

-
-
-

5.2.  Identifiers

- -

The normative provisions in this standard are denoted by the URI:

- -

http://www.opengis.net/spec/{standard}/{m.n}

- -

All requirements and conformance tests that appear in this document are denoted -by partial URIs which are relative to this base.

-
-
-
-

6.  Characteristics of an Abstract Conceptual Model

-

The terms and definitions clause in this Abstract Specification provides a short definition for “conceptual model”. This clause provides additional information on the OGC use of “conceptual model”.

-

A conceptual model organizes the vocabulary needed to communicate consistently and thoroughly about the know-how of a problem domain. The aim of a conceptual model is to express the meaning of terms and concepts used by domain experts to discuss the problem, and to find the correct relationships between different concepts.

-

A conceptual model:

-

  1. is a representation of a system, made of the composition of concepts which are -used to help people know, understand, or simulate a subject the model -represents. A documented conceptual model represents ‘concepts’ (entities), the -relationships between them, and a vocabulary;

    -
    2. -

  2. is explicitly defined to be independent of design or implementation concerns;

    -
    3. -

  3. organizes the vocabulary needed to communicate consistently and thoroughly -about the know-how of a problem domain;

    -
    4. -

  4. starts with a glossary of terms and definitions. There is a very high premium -on high-quality, design-independent definitions, free of data or implementation -biases; the model also emphasizes rich vocabulary; and

    -
    5. -

  5. is always about identifying the correct choice of terms to use in -communications, including statements of rules and requirements, especially where -high precision and subtle distinctions need to be made. The core concepts of a -temporal geospatial problem domain are typically quite stable over time.

    -
    6. -
-
-
-

7.  Temporal Abstract Conceptual Model

-

This attempt at a Temporal Abstract Conceptual Model follows ISO 19111, -which is the ISO adoption of OGC 18-005r4.

-

The model is also informed by W3C REC-owl-time-20171019.

NOTE  This Mermaid diagram should be converted to PlantUML for Metanorma, by replacing -the Mermaid container with the following.

- 
@startuml
.
.
@enduml
-

Figure 1

- 
classDiagram
class ReferenceSystem {
       Dimension 1..*
       ApplicableLocationTimeOrDomain 1
       AuthoritativeOwnerOrDefiningBody 1
    }
    class SpatialReferenceSystem {
       Dimension 1..*
       ApplicableLocationTimeOrDomain 1
       AuthoritativeOwnerOrDefiningBody 1
    }
    class TemporalReferenceSystem {
       Dimension 1
       ApplicableLocationTimeOrDomain 1
       AuthoritativeOwnerOrDefiningBody 1
    }
ReferenceSystem "1" <|-- "1..*" SpatialReferenceSystem
ReferenceSystem "1" <|-- "1..*" TemporalReferenceSystem
    TemporalReferenceSystem "0..1" <|-- "1" TemporalCoordinateReferenceSystem
    TemporalReferenceSystem "0..1" <|-- "1" Calendar
    TemporalReferenceSystem "0..1" <|-- "1" OrdinalTemporalReferenceSystem
class TemporalCoordinateReferenceSystem {
NameOrId
OptionalEpochDefinedInSomeOtherTemporalReferenceSystem
OptionalNameForEachTick
OptionalEndTimeOrCount
OptionalLocation
OptionalNotation
}
TemporalCoordinateReferenceSystem "1" o-- "1" Timescale
TemporalCoordinateReferenceSystem "1" o-- "1" Epoch
TemporalCoordinateReferenceSystem "1" --> "1..*" Notation
class Calendar {
   NameOrId
   AstronomicalAttribute [e.g. solar, sidereal, lunar, luni-solar]
   PredictiveAttribute [e.g. observed or calculated]
   EpochOrStartTime
   OptionalEndTime
   OptionalLocationOrRegionOfApplicability
   ConstituentUnitsOrClocksAndCountsOrTimescales
   OptionalNotation
   }
Calendar "1" o-- "0..1" Epoch
Calendar "1" o-- "1..*" Timescale
Calendar "1" o-- "1" Algorithm
Calendar "1" --> "1..*" Notation
class OrdinalTemporalReferenceSystem {
    NameOrId
    ListedOrEnumeratedSequenceOfEvents
    FirstAndLastEvents
    OptionalEpochDefinedInSomeOtherTemporalReferenceSystem
    OptionalLocationOrRegionOfApplicability
    OptionalNotations
    }
OrdinalTemporalReferenceSystem "1" o-- "0..1" Epoch
OrdinalTemporalReferenceSystem "1" o-- "2..*" Event
OrdinalTemporalReferenceSystem "1" --> "1..*" Notation
Timescale "1" o-- "1" Clock
-

Figure 2

-
-
-

8.  Temporal regimes

-

8.1.  General

- -

To help us think more clearly about time, this paper adopts the term “Regime” to describe the fundamentally different types of time and its measurement under consideration. This is a pragmatic approach that allows the grouping of recommendations and best practices in a practical way, but without obscuring the connection to the underlying theoretical components.

- -

The first three regimes have deep underlying physical and mathematical foundations which cannot be legislated away. The fourth regime, of calendars, uses a seemingly random mixture of ad hoc algorithms, arithmetic, numerology and measurements. Paradoxically, this regime has historically driven advances in mathematics and physics.

- -

The regimes are applicable to other planets and outer space, but with due consideration.

-
-

8.2.  Events and Operators

- -

The simplest way of relating entities in time is by events that can be ordered, that is, established in a sequence, and this sequence is used as an approximate measure of the passage of time.

- -

In this regime, no clocks or time measurements are defined, only events, that are ordered in relation to each other. For example, geological layers, sediment or ice core layers, archaeological sequences, sequential entries in computer logs without coordinated time.

- -

One set of events may be completely ordered with respect to each other, but another set of similar internally consistent events cannot be cross-referenced until extra information is available. Even then, only partial orderings may be possible.

- -

In this regime, the Allen Operators (Maintaining Knowledge about Temporal Intervals) can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So in our example, B occurs in the interval (A,C). However, we cannot perform arithmetic operations like (B-A) or (C-A) as we have not defined any timescale or measurements. For example, ‘subtracting’ Ordovician from Jurassic is meaningless.

- -

This regime constitutes an Ordinal Temporal Reference System, with discrete enumerated ordered events.

-
-

8.3.  Simple Clocks and Discrete Timescales

- -

In this regime, a clock is defined as any regularly repeating physical phenomena, such as pendulum swings, earth’s rotation about sun, earth’s rotation about its axis, heart beats, vibrations of electrically stimulated quartz crystals or the resonance of the unperturbed ground-state hyperfine transition frequency of the caesium 133 atom. Some phenomena make better clocks that others, in terms of the number of repetitions possible, the consistency of each repetition and the precision of each ‘tick’. A mechanism for counting, or possibly measuring, the ticks is desirable.

- -

It is an assumption that the ticks are regular and homogeneous.

- -

There is no sub-division between two successive clock ticks. Measuring time consists of counting the complete number of repetitions of ticks since the clock started, or since some other event at a given clock count.

- -

There is no time measurement before the clock started, or after it stops.

- -

It may seem that time can be measured between ‘ticks’ by interpolation, but this needs another clock, with faster ticks. This process of devising more precise clocks continues down to the atomic scale, and then the process of physically trying to interpolate between ticks is not possible.

- -

The internationally agreed atomic time, TAI, is an example of a timescale with an integer count as the measure of time, though in practice it is an arithmetic compromise across about two hundred separate atomic clocks, corrected for differing altitudes and temperatures.

- -

In this regime, the Allen Operators (Maintaining Knowledge about Temporal Intervals) also can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So if B occurs in the interval (A,C), we can now perform integer arithmetic operations like (B-A) or (C-A) as we have defined a timescale or measurement.

- -

This regime constitutes a Temporal Coordinate Reference System, with discrete integer units of measure which can be subject to integer arithmetic.

-
-

8.4.  CRS and Continuous Timescales

- -

This regime takes a clock from the previous regime ands assumes that between any two adjacent ticks, it is possible to interpolate indefinitely to finer and finer precision, using ordinary arithmetic, rather than any physical device.

- -

Alternatively, it may be that the ticks are not counted but measured, and the precision of the clock is determined by the precision of the measurements, such as depth in an ince core, or angular position of an astronomical body,such as the sun, moon or a star.

- -

It is also assumed that time can be extrapolated to before the time when the clock started and into the future, possibly past when the clock stops.

- -

This gives us a continuous number line to perform theoretical measurements. It is a coordinate system. With a datum/origin/epoch, a unit of measure (a name for the ‘tick marks’ on the axis), positive and negative directions and the full range of normal arithmetic. It is a Coordinate Reference System.

- -

In this regime, the Allen Operators (Maintaining Knowledge about Temporal Intervals) also can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So if B occurs in the interval (A,C), we can now perform real number arithmetic operations like (B-A) or (C-A) as we have defined a timescale or measurement, and between any two instants, we can always find an infinite number of other instants.

- -

Some examples are:

- -

  1. Unix milliseconds since 1970-01-01T00:00:00.0Z

    -
    2. -

  2. Julian Days, and fractions of a day, since noon on 1st January, 4713 BCE.

    -
    3. -
- -

This regime constitutes a Temporal Coordinate Reference System, with continuous, floating-point, units of measure, which can be subject to the full range of real arithmetic.

-
-

8.5.  Calendars

- -

In this regime, counts and measures of time are related to the various combinations of the rotations of the earth, moon and sun or other astronomical bodies. There is no simple arithmetic, so for example, the current civil year count of years in the Current Era (CE) and Before Current Era (BCE) is a calendar, albeit a very simple one, as there is no year zero. That is, Year 14CE – Year 12CE is a duration of 2 years, and Year 12BCE — Year 14BCE is also two years. However Year 1CE — Year 1BCE is one year, not two as there is no year 0CE or 0BCE.

- -

Calendars are social constructs made by combining several clocks and their associated timescales.

- -

This paper only addresses the internationally agreed Gregorian calendar. Astronomical Algorithms provides overwhelming detail for conversion to numerous other calendars that have developed around the world and over the millennia and to meet the various social needs of communities, whether agricultural, religious or other. The reference is comprehensive but not exhaustive, as there are calendars that have been omitted.

- -

A Calendar is a Temporal Reference System, but it is not a Temporal Coordinate Reference System nor an Ordinal Temporal Reference System.

-
-

8.6.  Other Regimes

- -

8.6.1.  General

- -

There may in fact be a series of other regimes, which are out of scope of this document. This could include local solar time, useful, for example, for the calculation of illumination levels and the length of shadows on aerial photography, or relativistic time.

-
- -

8.6.2.  Local Solar Time

- -

Local solar time may or may not correspond to the local statutory or legal time in a country. Local solar time can be construed as a clock and timescale, with an angular measure of of the apparent position of the sun along the ecliptic (path through the sky) as the basic physical principle.

-
- -

8.6.3.  Spacetime

- -

When dealing with moving objects, we find that the location of the object in space depends on its location in time. That is to say, that the location is an event in space and time.

- -

Originally developed by Hermann Minknowski to support work in Special Relativity, the concept of Spacetime is useful whenever the location of an object in space is dependent on its location in time.

- -

Since the speed of light in a vacum is a constant, Spacetime uses that constant to create a coordinate axis with spatial units of measure (meters per second * seconds = meters). The result is coordinate reference system with four orthagonal axis all with the same units of measure.

-
- -

8.6.4.  Relativistic

- -

A regime may be needed for ‘space-time’, off the planet Earth, such as for recording and predicting space weather approaching from the sun, where the speed of light and relativistic effects may be relevant.

- -

Once off the planet Earth, distances and velocities grow very large. The speed of light becomes a limiting factor in measuring both where and when an event takes place. Special Relativity deals with the accurate measurement of Spacetime events as measured between two moving objects. The core concepts are the Lorentz Transforms. These transforms allow one to calculate the degree of “contraction” a measurement undergos due to the relative velocity between the observing and observed object.

- -

The key to this approach is to ensure each moving feature of interest has its own local clock and time, known as its ‘proper time’. This example can be construed as a fitting into the clock and timescale regime. The relativistic effects are addressed through the relationships between the separate clocks, positions and velocities of the features.

- -

Relativistic effects may need to be taken into account for satellites and other space craft because of their relative speed and position in Earth’s gravity well.

-
- -

8.6.5.  Accountancy

- -

The financial and administrative domains often use weeks, quarters, and other calendrical measures. These may be convenient (though often not!) for the requisite tasks, but are usually inappropriate for scientific or technical purposes.

-
-
-
-
-

9.  Notation

-

There are often widely agreed, commonly accepted, notations used for temporal reference systems, but few have been standardised. Any particular notation may be capable of expressing a wider range of times than are valid for the reference system.

-

Example

-

The [IETF_RFC_3999] timestamp notation, a restrictive profile of ISO 8601, -can express times before 1588CE, when the Gregorian calendar was first -introduced in some parts of the world.

-
-
-
-

10.  Attributes of the Regimes/Classes

-

The top level Reference System is a super-class and does not have many attributes or properties. So far, only the dimension of the reference system and the Location, Time or Domain of Applicability have been identified as essential.

-

The Dimension is one for time, or a vertical reference system, but may be as much as 6 for spatial location and orientation.

-

Besides the conventional space and time, there may be other reference systems, such as wavelength/frequency, that can be addressed by the Abstract Conceptual Model.

-

10.1.  Attributes of Events and Ordinal Temporal Reference Systems

- -

  1. Name/Id

    -
    2. -

  2. Listed or enumerated sequence of events

    -
    3. -

  3. First and last events

    -
    4. -

  4. Optional Epoch, defined in some other temporal reference system

    -
    5. -

  5. Optional location or region of applicability

    -
    6. -

  6. Optional notations

    -
    7. -
- -

Example

Ancient annals of a country may give a sequence of emperors which could be used -to ‘date’ another event such as “Emperor Xi built a canal”, or may be used to -date a particular reign. For example: “In the reign of Emperor Yi, a comet was -sighted” and later research identifies this as an appearance of Hailey’s Comet.

-
- -

The events from the list may be instants, such as the change of reign, or intervals, such as the complete reign of each emperor.

- -

Other documents may enable two such ‘king lists’ to be related, though not completely.

-
-

10.2.  Attributes of simple Clock and Discrete Timescale

- -

  1. Name/Id

    -
    2. -

  2. Optional Epoch/starting time defined in some other temporal reference system

    -
    3. -

  3. Optional name for each tick

    -
    4. -

  4. Optional End time or count

    -
    5. -

  5. Optional location

    -
    6. -

  6. Optional Notation

    -
    7. -
- -

Example

A well preserved fossilised log is recovered and the tree rings establish an -annual ‘tick’. The start and end times may be known accurately by comparison and -matching with other known tree ring sequences, or perhaps only dated imprecisely -via Carbon Dating, or its archaeological or geological context.

-
-
-

10.3.  Attributes of a CRS and Continuous Timescales

- -

  1. Name/Id

    -
    2. -

  2. Optional Epoch/starting time, defined in some other temporal reference system

    -
    3. -

  3. Optional name for the measure

    -
    4. -

  4. Optional End time or measure

    -
    5. -

  5. Optional location

    -
    6. -

  6. Optional Notation

    -
    7. -
- -

Example

A long ice core is retrieved from a stable ice-sheet. From long term -meteorological observations, the rate of accumulation of ice is known, so linear -length can be equated to time (assuming a stable climate too). This enable the -dates of some previously unknown large scale volcanic eruptions to be identified -and timed. Identifiable nuclear fallout from specific atmospheric atomic bomb -tests increase the confidence in the timing accuracy.

-
-
-
-
-

11.  Attributes of Calendars

-

  1. Name/id

    -
    2. -

  2. Astronomical Type (e.g. solar, sidereal, lunar, luni-solar)

    -
    3. -

  3. Predictive type (e.g. observed or calculated)

    -
    4. -

  4. Epoch/start time

    -
    5. -

  5. Optional end time

    -
    6. -

  6. Optional location or region of applicability

    -
    7. -

  7. Constituent units or clocks and counts or timescales

    -
    8. -

  8. Optional Notation

    -
    9. -
-

Example 1

-

The modern Gregorian calendar is calculated solar calendar, with various epochs -from 1588 CE through to 1922 CE depending on location or country.

-
-

+ -The constituent timescales are days (earth’s rotations), months (moon’s orbit -around the earth), years (earth’s orbit around the sun) and seconds determined -by atomic clocks. To accommodate discrepancies, leap days and leap seconds are -intercalated in some years. The commonest notations for the Gregorian calendar -are ISO 8601 and its various restrictive profiles.

-

Example 2

-

The modern Islamic calendar is an observed lunar calendar, and the major -religious dates progress throughout the year, year on year. The important months -are determined by the observation of new moons from Mecca.

-
-

Example 3

-

The modern Jewish calendar is a calculated luni-solar calendar, and -discrepancies in the solar year are addressed by adding ‘leap months’ every few -years.

-
-

Example 4

-

The Ba’hai calendar is a calculated solar calendar, but without any other -astronomical aspects. The year consists of 19 months of 19 days each, with 4 or -5 intercalated days for a new year holiday.

-
-

Example 5

-

The West African Yoruba traditional calendar is a solar calendar with months, -but rather than subdividing a nominal month of 28 days into 4 weeks, 7 weeks of -4 days are used. This perhaps gave rise to the fortnightly (every 8 days) -markets in many villages in the grasslands of north-west Cameroun.

-
-

Example 6

-

Teams controlling remote vehicles on Mars use a solar calendar, with Martian -years and martian days (called sols). Months are not used because there are two -moons, with different, rather short, ‘months’.

-
-
-
-

12.  Synchronisation of clocks

-

If there are two or more clocks, stationary with respect to each other, and a practical method of communicating their times to each other, the clocks can be perfectly synchronized.

-

However, if the clocks are moving with respect to each other, they cannot be precisely coordinated (unless the communication is instantaneous). As communication speed is limited by the finite constant speed of light, perfect synchronisation is not possible, though repetitive protocols can be used to reduce the synchronization error to any practical desired level.

-

See A Brief History of Timekeeping, Page 187-191.

-
-
-

13.  Abstract Temporal Reference Model

-

13.1.  Context

- -

When OGC standards involve time, they generally refer to the ISO documents such -as ISO 19108, ISO 19111, ISO 8601, and their freely available OGC -equivalents, such as Abstract Specification Topic 2 Referencing by Coordinates -(equivalent to <<ISO_19111>).

- -

When dealing with temporal reference systems, it is necessary to understand all -of these standards and how they interact. ISO Technical Committee 211 (ISO/TC -211) provides a useful tool for integrating their standards. The -ISO/TC 211 Harmonized Model Management Group -provides a single integrated model for most of the ISO/TC 211 standards. That -model will provide the foundation for the Abstract Temporal Reference Model.

- -

The Abstract Temporal Reference Model is a “Conceptual” model. It both defines concepts and the associations between those concepts. This “conceptual” model is an extension of a higher level “Semantic” model.

- -

The W3C Time Ontology (W3C REC-owl-time-20171019) is illustrated below.

- -
W3C Time Ontology

Figure 3

- -

The Abstract Temporal Model divides the world into Spatial, Temporal, and SpatialTemporal Reference Systems.

- -
Abstract Temporal Model

Figure 4

- -

The Temporal Reference System is further divided into Temporal Coordinate Reference Systems and Temporal Ordinal Reference Systems.

- -
Temporal Reference System

Figure 5

- -

The Temporal Coordinate Reference Systems provide a link to ISO 19111 — Geographic information — Referencing by coordinates.

- -
Temporal Coordinate Reference System

Figure 6

- -

ISO 19111 provides a model for coordinate transformations which can be re-used for temporal coordinate reference systems.

- -
Temporal Coordinate Reference System

Figure 7

- -

Some Observations:

- -

  1. Many temporal reference systems are not coordinate reference systems

    -
    2. -

  2. There is no temporal equivalent to the Compound Reference System

    -
    3. -

  3. DateTime should be represented as a compound reference system consisting of a TM_Calendar and TM_Clock reference system.

    -
    4. -

  4. TM_Calendar could be a type of TM_OrdinalReferenceSystem.

    -
    5. -

  5. TM_Clock should not be defined in terms of a “day”. Many clocks count elapsed time since an epoch. Date and time are not considered.

    -
    6. -

  6. TM_Clock should be a type of TM_CoordinateSystem

    -
    7. -

  7. TM_Calendar can be defined as a Compound Reference System composed of days, months, and years. This would allow to define meaningful calendars for the Moon, Mars, and other non-Terrestrial environments.

    -
    8. -

  8. Is there an ordinal equivalent to TM_Clock. Sunrise, noon, sunset, and midnight?

    -
    9. -

  9. Can a calendar be defined in terms of planting season, Saints days, or other arbitrary events?

    -
    10. -
-
-
-
-
-

Annex A
(normative)
Annex Title

-

<Insert annex content here>

-
-

NOTE  Place annex material in sequential order and set obligation attribute as “normative” (default) or “informative” according to the case.

-
-
-
-

Bibliography

-

[1] 

[2] 

[3] 

[4] 

[5] 

[6] 

[7]  OGC: GeoPose Specification draft, 2021, https://github.com/opengeospatial/GeoPose/

[8] 

[9] 

[10] 

[11] 

[12] 

[13] 

[14] 

[15] 

[16] 

[17]  Jean Meeus. Astronomical Algorithms. https://www.agopax.it/Libri_astronomia/pdf/Astronomical%20Algorithms.pdf

[18]  Consultative Committee for Space Data Systems. Navigation Data — Definitions and Conventions. 2019. https://public.ccsds.org/Pubs/500x0g4.pdf

[19]  Peter J.G. Teunissen, Oliver Montenbruck. Springer Handbook of Global Navigation Satellite Systems. https://doi.org/10.1007/978-3-319-42928-1

[20]  IERS. https://www.iers.org/IERS/EN/DataProducts/EarthOrientationData/eop.html

[21]  NASA NAIF. SPICE Documentation. https://naif.jpl.nasa.gov/naif/tutorials.html [last accessed 2023-01]

[22]  The Open Group. UNIX Time. https://pubs.opengroup.org/onlinepubs/9699919799/basedefs/V1_chap04.html#tag_04_16 [last accessed 2023-01]

[23]  Nachum Dershowitz, Edward M. Reingold. Calendrical Calculations — The Ultimate Edition. Cambridge University Press. 2018. ISBN-13: 978-1107683167. http://emr.cs.iit.edu/home/reingold/calendar-book/third-edition [last accessed 2023-01]

[24]  Chad Orzell. A Brief History of Timekeeping. Oneworld Publications. 2022. ISBN-13: 978-0-86154-321-2.

[25] 

[26]  H. Minkowski. Space and Time, Minkowski’s Papers on RelativityMinkowski Institute Press, Montreal 2012. https://minkowskiinstitute.org/ebookstore

[27] 

[28]  Allen, J. F. Maintaining Knowledge about Temporal IntervalsCommunications of the ACM, 1983, vol. 26 pp. 832-843.

[29] 

[30]  Bureau International des Poids et Mesures (BIPM). Establishment of International Atomic Time and Coordinated Universal Time. https://www.bipm.org/documents/20126/59466374/6_establishment_TAR20.pdf/5b18b648-0d5a-ee02-643d-a60ed6c148fc

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
-
- - - - - - - - - - - - - - - - - - - - - diff --git a/23-032r1.pdf b/23-032r1.pdf deleted file mode 100644 index 9dca3875..00000000 Binary files a/23-032r1.pdf and /dev/null differ diff --git a/23-049/23-049.adoc b/23-049/23-049.adoc new file mode 100644 index 00000000..25cb9163 --- /dev/null +++ b/23-049/23-049.adoc @@ -0,0 +1,43 @@ += Topic 24 - Abstract Conceptual Model for Time +:doctype: abstract-specification-topic +:language: en +:status: swg-draft +:committee: technical +:edition: 1.0 +:docnumber: 23-049 +:received-date: 2023-05-23 +:issued-date: 2023-05-23 +:published-date: 2023-08-22 +:external-id: http://www.opengis.net/doc/AS/temporal-conceptual-model/1.0 +:referenceURLID: http://docs.opengeospatial.org/as/23-049/23-049.html +:fullname: Chris Little +:fullname_2: Charles Heazel +:role: editor +:role_2: editor +:keywords: ogcdoc, OGC document, abstract specification, conceptual model, time, temporal referencing, referencing by coordinates, calendar, clock, timescale +:submitting-organizations: U.K. Met Office, HeazelTech +:mn-document-class: ogc +:mn-output-extensions: html,pdf,rxl +:local-cache-only: +:data-uri-image: + +// Clauses +include::sections/00-preface.adoc[] + +include::sections/01-scope.adoc[] + +include::sections/02-conformance.adoc[] + +include::sections/03-references.adoc[] + +include::sections/04-terms_and_definitions.adoc[] + +include::sections/05-conventions.adoc[] + +// Add clause files as needed +include::sections/06-abstract_model.adoc[] + +include::sections/annex-glossary.adoc[] + +// Bibliography should be the last annex +include::sections/annex-bibliography.adoc[] diff --git a/23-049/23-049.doc b/23-049/23-049.doc new file mode 100644 index 00000000..fc95faa6 --- /dev/null +++ b/23-049/23-049.doc @@ -0,0 +1,4048 @@ +MIME-Version: 1.0 +Content-Type: multipart/related; boundary="----=_NextPart_85b06d4a.a3e0.493f" + +------=_NextPart_85b06d4a.a3e0.493f +Content-ID: <23-049.htm> +Content-Disposition: inline; filename="23-049.htm" +Content-Type: text/html; charset="utf-8" + + + + + + +Print +100 + + + + + + + + + + + +

+ + Open Geospatial Consortium + + + +

+ + +

+ +

+ Submission Date: 2023-05-23 +

+ +

+ Approval Date: 2023-05-23 +

+ +

+ Publication Date: 2023-08-22 +

+ +

+ External identifier of this OGC® document: http://www.opengis.net/doc/AS/temporal-conceptual-model/1.0 +

+ +

+ Internal reference number of this OGC® document: 23-049 +

+ + + + +

+ Version: 1.0 +

+ + +

+ Category: Abstract Specification Topic +

+ + +

+ Contributor: +

+ + + +

+ Editors: Chris Little, Charles Heazel +

+ + +

+ Topic 24 - Abstract Conceptual Model for Time + +

+ +

+ +

 

+ +

+ +
+

Copyright notice

+ + +

Copyright + © 2023 Open Geospatial Consortium
+ To obtain additional rights of use, visit + http://www.ogc.org/legal/

+
+

Note

+ +

Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. The Open Geospatial Consortium shall not be held responsible for identifying any or all such patent rights.

+ +

Recipients of this document are requested to submit, with their comments, notification of any relevant patent claims or other intellectual property rights of which they may be aware that might be infringed by any implementation of the standard set forth in this document, and to provide supporting documentation.

+
+
+ +
+
+ +

Notice

+ +

This document is not an OGC Standard. This document is an OGC Abstract Specification Topic and is therefore not an official position of the OGC membership. It is distributed for review and comment. It is subject to change without notice and may not be referred to as an OGC Standard.

+

Further, an OGC Abstract Specification Topic should not be referenced as required or mandatory technology in procurements.

+
+ + +
+
+ +
+ + + + + +
+

Document + number:            23-049

+ +

Document + type:            OGC® Abstract Specification Topic

+ +

Document + subtype:      

+ +

Document + stage:           Candidate SWG Draft

+

Document + language:     English

+
+ +
+ + + + + + + +

 

+
+

+
+

+
+
+

License Agreement

+ + +

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+
+
+ + +
+ +
+ + +

+ Contents +

+ +

 TOC + \o "1-2" \h \z \u + +Copyright notice +. + + + PAGEREF _Toc860536938 \h + 1 +

+ +

+ + +Note +. + + + PAGEREF _Toc174561120 \h + 1 + + +

+ +

+ + +License Agreement +. + + + PAGEREF _Toc981094328 \h + 1 + + +

+ +

+ + +Notice +. + + + PAGEREF _Toc191563274 \h + 1 + + +

+ +

+ + +I. Abstract +. + + + PAGEREF _Toc228746171 \h + 1 + + +

+ +

+ + +II. Keywords +. + + + PAGEREF _Toc637613225 \h + 1 + + +

+ +

+ + +III. Preface +. + + + PAGEREF _Toc844732285 \h + 1 + + +

+ +

+ + +IV. Security Considerations +. + + + PAGEREF _Toc731451764 \h + 1 + + +

+ +

+ + +V. Submitting Organizations +. + + + PAGEREF _Toc289949561 \h + 1 + + +

+ +

+ + +VI. Submitters +. + + + PAGEREF _Toc289765854 \h + 1 + + +

+ +

+ + +VII. Introduction +. + + + PAGEREF _Toc449230217 \h + 1 + + +

+ +

+ + +1. Scope +. + + + PAGEREF _Toc544528791 \h + 1 + + +

+ +

+ + +2. Conformance +. + + + PAGEREF _Toc422734418 \h + 1 + + +

+ +

+ + +3. Normative references +. + + + PAGEREF _Toc749628849 \h + 1 + + +

+ +

+ + +4. Terms and definitions +. + + + PAGEREF _Toc380705141 \h + 1 + + +

+ +

+ + +5. Conventions +. + + + PAGEREF _Toc362636511 \h + 1 + + +

+ +

+ + +5.1. Abbreviated terms +. + + + PAGEREF _Toc396854075 \h + 1 + + +

+ +

+ + +5.2. Identifiers +. + + + PAGEREF _Toc815387545 \h + 1 + + +

+ +

+ + +6. Characteristics of an Abstract Conceptual Model +. + + + PAGEREF _Toc617376872 \h + 1 + + +

+ +

+ + +7. Temporal Abstract Conceptual Model +. + + + PAGEREF _Toc744853448 \h + 1 + + +

+ +

+ + +8. Temporal regimes +. + + + PAGEREF _Toc660459045 \h + 1 + + +

+ +

+ + +8.1. General +. + + + PAGEREF _Toc839702214 \h + 1 + + +

+ +

+ + +8.2. Events and Operators +. + + + PAGEREF _Toc020230940 \h + 1 + + +

+ +

+ + +8.3. Simple Clocks and Discrete Timescales +. + + + PAGEREF _Toc895023372 \h + 1 + + +

+ +

+ + +8.4. CRS and Continuous Timescales +. + + + PAGEREF _Toc669674687 \h + 1 + + +

+ +

+ + +8.5. Calendars +. + + + PAGEREF _Toc945354067 \h + 1 + + +

+ +

+ + +8.6. Other Regimes +. + + + PAGEREF _Toc844253308 \h + 1 + + +

+ +

+ + +9. Notation +. + + + PAGEREF _Toc445960174 \h + 1 + + +

+ +

+ + +10. Attributes of the Regimes/Classes +. + + + PAGEREF _Toc268310457 \h + 1 + + +

+ +

+ + +10.1. Attributes of Events and Ordinal Temporal Reference Systems +. + + + PAGEREF _Toc169453186 \h + 1 + + +

+ +

+ + +10.2. Attributes of simple Clock and Discrete Timescale +. + + + PAGEREF _Toc227428995 \h + 1 + + +

+ +

+ + +10.3. Attributes of Clocks +. + + + PAGEREF _Toc133269707 \h + 1 + + +

+ +

+ + +10.4. Attributes of Timescales +. + + + PAGEREF _Toc722912423 \h + 1 + + +

+ +

+ + +10.5. Attributes of Units of Measure +. + + + PAGEREF _Toc785790087 \h + 1 + + +

+ +

+ + +10.6. Attributes of a CRS and Continuous Timescales +. + + + PAGEREF _Toc471815243 \h + 1 + + +

+ +

+ + +11. Attributes of Calendars +. + + + PAGEREF _Toc741681574 \h + 1 + + +

+ +

+ + +12. Synchronisation of clocks +. + + + PAGEREF _Toc871209805 \h + 1 + + +

+ +

+ + +Annex A (informative) Glossary +. + + + PAGEREF _Toc017163520 \h + 1 + + +

+ +

+ + +Bibliography +. + + + PAGEREF _Toc041303074 \h + 1 + + +

+ +

+ + + + +

 

+ +

+ + +
+ + + + + + + + +
+ +
+
+

+
+

+
+

I.  Abstract

+

Traditionally, geospatial communities used 2D coordinates and the vertical and temporal aspects were considered attributes rather than fully fledged coordinate systems. In an increasingly dynamic, speedier and multidimensional world, much confusion and lack of interoperability has occurred because of inconsistent approaches to time. Much effort has been expended by various international bodies to establish the Gregorian Calendar as a consistent timeline. This suffices for low precision, such as to the nearest minute, but not so when second or sub-second accuracy is required. For example, there has been differing practices and no consensus on whether leap seconds should be part of the Gregorian timeline.

+

The fundamental concepts of events, clocks, timescales, coordinates and calendars have been long established, but there is no clear, straightforward defining document. This document aims to to give clear consistent definitions of the fundamental concepts and terminology, so that people are well aware of the advantages and disadvantages of adopting a particular technological approach and then perhaps they can contribute to building better and more interoperable systems using other more detailed documents such as logical and implementation standards that have an agreed common conceptual basis and terminology.

+

This document is consistent with ISO 19111 and W3C Time Ontology in OWL.

+

The aim of this document is to establish clear concepts and terminology.

+
+
+

II.  Keywords

+

The following are keywords to be used by search engines and + document catalogues.

+

ogcdoc, OGC document, abstract specification, conceptual model, time, temporal referencing, referencing by coordinates, calendar, clock, timescale

+
+

+
+

+
+

III.  Preface

+

Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. The Open Geospatial Consortium shall not be held responsible for identifying any or all such patent rights.

+

Recipients of this document are requested to submit, with their comments, notification of any relevant patent claims or other intellectual property rights of which they may be aware that might be infringed by any implementation of the standard set forth in this document, and to provide supporting documentation.

+
+
+

IV.  Security Considerations

+

No security considerations have been made for this document.

+
+
+

V.  Submitting Organizations

+

The following organizations submitted this Document to the + Open Geospatial Consortium (OGC):

+ +

U.K. Met Office, HeazelTech

+ +
+
+

VI.  Submitters

+

All questions regarding this submission should be directed to the editor or the +submitters:

+
+ + + + + + + + + + + + + + + + + +
NameAffiliation
Chris Little (editor)U.K. Met Office
Chuck HeazelHeazelTech
+
+
+
+

VII.  Introduction

+

When OGC standards involve time, they generally refer to the ISO documents such as ISO 19108 (now largely superseded), ISO 19111, ISO 8601, and their freely available OGC equivalents, such as OGC_18-005r4 (the equivalent to ISO 19111).

+

Much effort over decades has gone into establishing complex structures to represent calendar based time, such as the ISO 8601 notation, and many date-time schemas. Because of this effort, many people use calendar based “coordinates”, with the attendant ambiguities, imprecision and inappropriate scope.

+

The aim of this document is to establish clear concepts and terminology, so that people are well aware of the advantages and disadvantages of adopting a particular technological approach and then perhaps contribute to building better interoperable systems.

+
+

 

+
+

+
+

+
+

Topic 24 - Abstract Conceptual Model for Time

+
+

1.  Scope

+

This document defines the major underlying concepts regarding time. It does not define any concrete temporal reference systems or give detailed guidance on implementations.

+
+
+

2.  Conformance

+

Clause 6 of this International Standard uses the Unified Modeling Language (UML) to present +conceptual schemas for describing the higher level classes of time and temporal reference systems. These schemas define conceptual classes that

+

a) may be considered to comprise a cross-domain application schema, or

+

b) may be used in application schemas, profiles and implementation specifications.

+

This flexibility is controlled by a set of UML types that can be implemented in a variety of manners. Use of +alternative names that are more familiar in a particular application is acceptable, provided that there is a one- +to-one mapping to classes and properties in this International Standard. +The UML model in this International Standard defines conceptual classes; various software systems define +implementation classes or data structures. All of these reference the same information content. The same +name may be used in implementations as in the model, so that types defined in the UML model may be used +directly in application schemas.

+

Annex A defines a set of conformance tests that will support applications whose requirements range from the +minimum necessary to define data structures to full object implementation.

+
+

3.  Normative references

+

The following documents are referred to in the text in such a way that some or all of their content constitutes requirements of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.

+ + +

IETF: RFC 3339 Date and Time on the Internet: Timestamps. https://www.rfc-editor.org/rfc/rfc3339

+

ISO/TC 211: 8601:2004 Data elements and interchange formats — Information interchange — Representation of dates and times, 2004, https://www.iso.org/standard/40874.html

+

ISO/TC 211: ISO 19111:2019, Geographic information – Referencing by coordinates, 2019, https://www.iso.org/standard/74039.html

+

Allen, J. F. Maintaining Knowledge about Temporal IntervalsCommunications of the ACM, 1983, vol. 26 pp. 832-843.

+

OGC: 18-005, OGC Abstract Specification Topic 2: Referencing by coordinates Corrigendum, 2021, https://docs.ogc.org/as/18-005r5/18-005r5.html

+

W3C: Time Ontology in OWL, 2017, https://www.w3.org/TR/2017/REC-owl-time-20171019/

+
+

4.  Terms and definitions

This document uses the terms defined in OGC Policy Directive 49, which is based on the ISO/IEC Directives, Part 2, Rules for the structure and drafting of International Standards. In particular, the word “shall” (not “must”) is the verb form used to indicate a requirement to be strictly followed to conform to this document and OGC documents do not use the equivalent phrases in the ISO/IEC Directives, Part 2.

This document also uses terms defined in the OGC Standard for Modular specifications (OGC 08-131r3), also known as the ‘ModSpec’. The definitions of terms such as standard, specification, requirement, and conformance test are provided in the ModSpec.

For the purposes of this document, the following additional terms and definitions apply.

4.1. conceptual model

+

description of common concepts and their relationships, particularly in order to facilitate exchange of information between parties within a specific domain. A conceptual model is explicitly chosen to be independent of design or implementation concerns.

+ + +

[SOURCE: CEN ENV 1613:1995]

4.2. coordinate reference system

+

coordinate system that is related to an object by a datum

+ + + + + + +

Note 1 to entry: Geodetic and vertical datums are referred to as reference frames.

Note 2 to entry: For geodetic and vertical reference frames, the object will be the Earth. In planetary applications, geodetic and vertical reference frames may be applied to other celestial bodies.

[SOURCE: ISO 19111]

4.3. coordinate system

+

set of mathematical rules for specifying how coordinates are to be assigned to points

+ + +

[SOURCE: ISO 19111]

4.4. datum

reference frame ADMITTED

+ + + +

parameter or set of parameters that realize the position of the origin, the scale, and the orientation of a coordinate system

+ + +

[SOURCE: ISO 19111]

4.5. epoch

+ + +

<geodesy> point in time

+ + + + + + +

Note 1 to entry: In this document an epoch is expressed in the Gregorian calendar as a decimal year.

Example

2017-03-25 in the Gregorian calendar is epoch 2017.23.

+

[SOURCE: ISO 19111]

4.6. reference frame

datum ADMITTED

+ + + +

parameter or set of parameters that realize the position of the origin, the scale, and the orientation of a coordinate system

+ + +

[SOURCE: ISO 19111]

4.7. temporal coordinate reference system

+

coordinate reference system based on a temporal datum

+ + +

[SOURCE: ISO 19111]

4.8. temporal coordinate system

+ + +

<geodesy> one-dimensional coordinate system where the axis is time

+ + +

[SOURCE: ISO 19111]

4.9. temporal datum

+

datum describing the relationship of a temporal coordinate system to an object

+ + + + +

Note 1 to entry: The object is normally time on the Earth.

[SOURCE: ISO 19111]

+
+

5.  Conventions

+

5.1.  Abbreviated terms

+ +

CRS

Coordinate Reference System

+

TRS

Temporal Reference System

+

UML

Unified Modelling Language

+

2D

2-dimensional

+

3D

3-dimensional

+
+
+

5.2.  Identifiers

+ +

The normative provisions in this standard are denoted by the URI:

+ +

http://www.opengis.net/doc/AS/temporal-conceptual-model/1.0

+ +

All requirements and conformance tests that appear in this document are denoted by partial URIs which are relative to this base.

+
+
+
+

6.  Characteristics of an Abstract Conceptual Model

+

The terms and definitions clause in this Abstract Specification provides a short definition for “conceptual model”. This clause provides additional information on the OGC use of “conceptual model”.

+

A conceptual model organizes the vocabulary needed to communicate consistently and thoroughly about the know-how of a problem domain. The aim of a conceptual model is to express the meaning of terms and concepts used by domain experts to discuss the problem, and to find the correct relationships between different concepts.

+

A conceptual model:

+

is a representation of a system, made of the composition of concepts which are used to help people know, understand, or simulate a subject the model represents. A documented conceptual model represents ‘concepts’ (entities), the relationships between them, and a vocabulary; +

+

is explicitly defined to be independent of design or implementation concerns; +

+

organizes the vocabulary needed to communicate consistently and thoroughly about the know-how of a problem domain; +

+

starts with a glossary of terms and definitions. There is a very high premium on high-quality, design-independent definitions, free of data or implementation biases; the model also emphasizes rich vocabulary; and +

+

is always about identifying the correct choice of terms to use in communications, including statements of rules and requirements, especially where high precision and subtle distinctions need to be made. The core concepts of a temporal geospatial problem domain are typically quite stable over time. +

+ +
+
+

7.  Temporal Abstract Conceptual Model

+

This attempt at a Temporal Abstract Conceptual Model follows ISO 19111, which is the ISO adoption of OGC_18-005r4.

+

The model is also informed by the W3C Time Ontology.

+
+

NOTE  This Mermaid diagram should be converted to PlantUML for Metanorma, by replacing +the Mermaid container with the following.

+
+

+ [plantuml] @startuml . . @enduml +

+

classDiagram
class ReferenceSystem {
        <<abstract>>
        dimension = 1..*
        applicableLocationTimeOrDomain
    }
class SpatialReferenceSystem {
        <<abstract>>
        dimension = 1..*
        applicableLocationTimeOrDomain
    }
class TemporalReferenceSystem {
        <<abstract>>
        dimension = 1
        applicableLocationTimeOrDomain
    }
note for ReferenceSystem "Note: Has at least one of:\nSpatialReferenceSystem, or \nTemporalReferenceSystem"
ReferenceSystem <|-- SpatialReferenceSystem : is a
ReferenceSystem <|-- TemporalReferenceSystem : is a
class OrdinalTemporalReferenceSystem {
        dimension = 1
        applicableLocationTimeOrDomain
    }
class TemporalCoordinateReferenceSystem {
        dimension = 1
        applicableLocationTimeOrDomain
    }
class Calendar {
        dimension = 1
        applicableLocationTimeOrDomain
    }
note for TemporalReferenceSystem "Note: Consists of one only of:\nTemporalCoordinateReferenceSystem,\nCalendar, or \nOrdinalTemporalReferenceSystem"
TemporalReferenceSystem <|-- OrdinalTemporalReferenceSystem : is a
TemporalReferenceSystem <|-- TemporalCoordinateReferenceSystem : is a
TemporalReferenceSystem <|-- Calendar : is a

OrdinalTemporalReferenceSystem "1" o-- "(ordered)" Events : consists of
OrdinalTemporalReferenceSystem "1" o-- "0..1" Epoch : has an
OrdinalTemporalReferenceSystem "1" --> "1..*" Notation : can use
TemporalCoordinateReferenceSystem "1" o-- "1" Epoch : has an
TemporalCoordinateReferenceSystem "1" --> "1..*" Notation : can use
TemporalCoordinateReferenceSystem "1" o-- "1" Timescale : has a
Calendar "1" o-- "0..1" Epoch : has an
Calendar "1" --> "1..*" Notation : can use
Calendar "1" o-- "1..*" Timescale : has a
Calendar "1" o-- "1..*" Algorithm : has a
class Timescale {
        StartCount
        EndCount
        arithmetic
    }
Timescale "1" o-- "1" Clock : has a
Timescale "1" o-- "1" UnitOfMeasure : has a
class Clock {
        Tick definition
    }
class UnitOfMeasure {
        Direction
    }

+

Figure 1

+
+
+

8.  Temporal regimes

+

8.1.  General

+ +

To help us think more clearly about time, this paper adopts the term “Regime” to describe the fundamentally different types of time and its measurement under consideration. This is a pragmatic approach that allows the grouping of recommendations and best practices in a practical way, but without obscuring the connection to the underlying theoretical components.

+ +

The first three regimes have deep underlying physical and mathematical foundations which cannot be legislated away. The fourth regime, of calendars, uses a seemingly random mixture of ad hoc algorithms, arithmetic, numerology and measurements. Paradoxically, this regime has historically driven advances in mathematics and physics.

+ +

The regimes are applicable to other planets and outer space, but with due consideration.

+
+

8.2.  Events and Operators

+ +

The simplest way of relating entities in time is by events that can be ordered, that is, established in a sequence, and this sequence is used as an approximate measure of the passage of time.

+ +

In this regime, no clocks or time measurements are defined, only events, that are ordered in relation to each other. For example, geological layers, sediment or ice core layers, archaeological sequences, sequential entries in computer logs without coordinated time.

+ +

One set of events may be completely ordered with respect to each other, but another set of similar internally consistent events cannot be cross-referenced until extra information is available. Even then, only partial orderings may be possible.

+ +

In this regime, the Allen Operators can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So in our example, B occurs in the interval (A,C). However, we cannot perform arithmetic operations like (B-A) or (C-A) as we have not defined any timescale or measurements. For example, in geology, ‘subtracting’ Ordovician from Jurassic is meaningless; or in archeology, ‘subtracting’ a layer with a certain type of pottery remains from the layer containing burnt wood and bones is again not meaningful. Only the ordering can be deduced.

+ +

This regime constitutes an Ordinal Temporal Reference System, with discrete enumerated ordered events.

+
+

8.3.  Simple Clocks and Discrete Timescales

+ +

In this regime, a clock is defined as any regularly repeating physical phenomena, such as pendulum swings, earth’s rotation about sun, earth’s rotation about its axis, heart beats, vibrations of electrically stimulated quartz crystals or the resonance of the unperturbed ground-state hyperfine transition frequency of the caesium 133 atom. Some phenomena make better clocks that others, in terms of the number of repetitions possible, the consistency of each repetition and the precision of each ‘tick’. A mechanism for counting, or possibly measuring, the ticks is desirable.

+ +

It is an assumption that the ticks are regular and homogeneous.

+ +

There is no sub-division between two successive clock ticks. Measuring time consists of counting the complete number of repetitions of ticks since the clock started, or since some other event at a given clock count.

+ +

There is no time measurement before the clock started, or after it stops.

+ +

It may seem that time can be measured between ‘ticks’ by interpolation, but this needs another clock, with faster ticks. This process of devising more precise clocks continues down to the atomic scale, and then the deterministic process of physically trying to interpolate between ticks is not possible.

+ +

The internationally agreed atomic time, TAI, is an example of a timescale with an integer count as the measure of time, though in practice it is an arithmetic compromise across about two hundred separate atomic clocks, corrected for differing altitudes and temperatures.

+ +

In this regime, the Allen Operators also can be used. If L occurs before M and M occurs before N, then we can correctly deduce that L occurs before N. The full set of operators also covers pairs of intervals. So if M occurs in the interval (L,N), we can now perform integer arithmetic operations like (M-L) or (N-L) as we have defined an integer timescale or measurement.

+ +

This regime constitutes a Temporal Coordinate Reference System, with discrete integer units of measure which can be subject to integer arithmetic.

+
+

8.4.  CRS and Continuous Timescales

+ +

This regime takes a clock from the previous regime and assumes that between any two adjacent ticks, it is possible to interpolate indefinitely to finer and finer precision, using ordinary arithmetic, rather than any physical device. Units of Measure may be defrined that are different from the ‘ticks’. For example, a second may be defined as 9,192,631,770 vibrations of the ground-state hyperfine transition of the caesium 133 atom. Alternatively and differently, a second may be defined as 1/86400th of the toataion of the earth on its axis with respect to the sun. The count of rotations are the ‘ticks’ of an earth-day clock. This latter definition is not precise enough for many uses, as the rotaion of the earth on its axis varies from day to day.

+ +

Alternatively, it may be that the ticks are not counted but measured, and the precision of the clock is determined by the precision of the measurements, such as depth in an ice core, or angular position of an astronomical body,such as the sun, moon or a star.

+ +

It is also assumed that time can be extrapolated to before the time when the clock started and into the future, possibly past when the clock stops.

+ +

This gives us a continuous number line to perform theoretical measurements. It is a coordinate system. With a datum/origin/epoch, a unit of measure (a name for the ‘tick marks’ on the axis), positive and negative directions and the full range of normal arithmetic. It is a Coordinate Reference System.

+ +

In this regime, the Allen Operators also can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So if B occurs in the interval (A,C), we can now perform real number arithmetic operations like (B-A) or (C-A) as we have defined a timescale or measurement, and between any two instants, we can always find an infinite number of other instants.

+ +

Some examples are:

+ +

Unix milliseconds since 1970-01-01T00:00:00.0Z +

+

Julian Days, and fractions of a day, since noon on 1st January, 4713 BCE. +

+ + +

This regime constitutes a Temporal Coordinate Reference System, with a continuous number line and units of measure, which can be subject to the full range of real or floating point arithmetic.

+
+

8.5.  Calendars

+ +

In this regime, counts and measures of time are related to the various combinations of the rotations of the earth, moon and sun or other astronomical bodies. There is no simple arithmetic, so for example, the current civil year count of years in the Current Era (CE) and Before Current Era (BCE) is a calendar, albeit a very simple one, as there is no year zero. That is, Year 14CE – Year 12CE is a duration of 2 years, and Year 12BCE — Year 14BCE is also two years. However Year 1CE — Year 1BCE is one year, not two as there is no year 0CE or 0BCE.

+ +

Calendars are social constructs made by combining several clocks and their associated timescales.

+ +

This paper only addresses the internationally agreed Gregorian calendar. Astronomical Algorithms by Jean Meeus provides overwhelming detail for conversion to numerous other calendars that have developed around the world and over the millennia and to meet the various social needs of communities, whether agricultural, religious or other. The reference is comprehensive but not exhaustive, as there are calendars that have been omitted.

+ +

A Calendar is a Temporal Reference System, but it is not a Temporal Coordinate Reference System nor an Ordinal Temporal Reference System.

+
+

8.6.  Other Regimes

+ +

There are other regimes, which are out of scope of this document. This could include local solar time, useful, for example, for the calculation of illumination levels and the length of shadows on aerial photography, or relativistic time.

+ +

8.6.1.  Local Solar Time

+ +

Local solar time may or may not correspond to the local statutory or legal time in a country. Local solar time can be construed as a clock and timescale, with an angular measure of the apparent position of the sun along the ecliptic (path through the sky) as the basic physical principle.

+
+ +

8.6.2.  Space-time

+ +

When dealing with moving objects, we find that the location of the object in space depends on its location in time. That is to say, that the location is an event in space and time.

+ +

Originally developed by Hermann Minkowski to support work in Special Relativity, the concept of Space-time is useful whenever the location of an object in space is dependent on its location in time.

+ +

Since the speed of light in a vacuum is a measurable constant, Space-time uses that constant to create a coordinate axis with spatial units of measure (meters per second * seconds = meters). The result is coordinate reference system with four orthogonal axis all with the same units of measure, distance.

+
+ +

8.6.3.  Relativistic

+ +

A regime may be needed for ‘space-time’, off the planet Earth, such as for recording and predicting space weather approaching from the sun, where the speed of light and relativistic effects such as gravity may be relevant.

+ +

Once off the planet Earth, distances and velocities can become very large. The speed of light becomes a limiting factor in measuring both where and when an event takes place. Special Relativity deals with the accurate measurement of Space-time events as measured between two moving objects. The core concepts are the Lorentz Transforms. These transforms allow one to calculate the degree of “contraction” a measurement undergos due to the relative velocity between the observing and observed object.

+ +

The key to this approach is to ensure each moving feature of interest has its own local clock and time, known as its ‘proper time’. This example can be construed as a fitting into the clock and timescale regime. The relativistic effects are addressed through the relationships between the separate clocks, positions and velocities of the features.

+ +

Relativistic effects may need to be taken into account for satellites and other space craft because of their relative speed and position in Earth’s gravity well.

+ +

The presence of gravitational effects requires special relativity to te replaced by general relativity, and it can no longer be assumed that space (or space-time) is Euclidean. That is, Pythagoras’ Theorem does not hold execept locally over small areas. this is somewhat unfamiliar territory for geospatial experts.

+
+ +

8.6.4.  Accountancy

+ +

The financial and administrative domains often use weeks, quarters, and other calendrical measures. These may be convenient (though often not!) for the requisite tasks, but are usually inappropriate for scientific or technical purposes.

+
+
+
+
+

9.  Notation

+

There are often widely agreed, commonly accepted, notations used for temporal reference systems, but few have been standardised. Any particular notation may be capable of expressing a wider range of times than are valid for the reference system.

+

Example

+

The IETF RFC 3339 timestamp notation, a restrictive profile of ISO 8601, can express times before 1588CE, when the Gregorian calendar was first introduced in some parts of the world.

+
+
+
+

10.  Attributes of the Regimes/Classes

+

The top level Reference System is an abstract super-class and does not have many attributes or properties. So far, only the total dimension of the reference system and the Location, Time or Domain of Applicability have been identified as essential.

+

The ‘ReferenceSystem’ has two abstract sub-classes: ‘SpatialReferenceSystem’ , which is defined in ISO 19111, and ‘TemporalReferenceSystem’, each with the attributes of Dimension and Domains of Applicability.

+

The Dimension is one for time, or a vertical reference system, but may be as much as 6 for spatial location with orientation.

+

Besides the conventional space and time, there may be other reference systems, such as wavelength/frequency, that can be addressed by the Abstract Conceptual Model.

+

10.1.  Attributes of Events and Ordinal Temporal Reference Systems

+ +

An OrdinalTemporal Reference System has a well-ordered finite sequence of events against which other events can b e compared. +

+

Name/Id +

+

Optional location, time or domain of applicability +

+

Optional Epoch, defined in some temporal reference system +

+

Listed or enumerated sequence of events with the first and last events +

+

Optional notations +

+ + +

Example

Ancient annals of a country may give a sequence of emperors which could be used to ‘date’ another event such as “Emperor Xi built a canal”, or may be used to date a particular reign. For example: “In the reign of Emperor Yi, a comet was sighted” and later research identifies this as an appearance of Hailey’s Comet.

+
+ +

The events from the list may be instants, such as the change of reign, or intervals, such as the complete reign of each king.

+ +

Other documents may enable two such ‘king lists’ to be related, though not completely.

+
+

10.2.  Attributes of simple Clock and Discrete Timescale

+ +

A clock is a regular, repeating, physical event, or ‘tick’, that can be counted. The sequence of tick counts is a timescale. The ticks may be grouped into a Unit of Meaure for convenience. Other events can be compared to the ticks on the timescale.

+ +

Name/Id +

+

Optional location, time or domain of applicability +

+

Optional Epoch, defined in some temporal reference system +

+

Arithmetic: Integer +

+

Optional name for each tick +

+

Optional Start time or count +

+

Optional End time or count +

+

Optional Unit of Measure and number of ticks per Unit +

+

Optional notations +

+ + +

Example 1

A well preserved fossilised log is recovered and the tree rings establish an annual ‘tick’. The start and end times may be known accurately by comparison and matching with other known tree ring sequences, or perhaps only dated imprecisely via Carbon Dating, or its archaeological or geological context.

+
+ +

Example 2

A clock is started, but undergoes a calibration process against some standards clock, so the initial, reliable Start Time does not start at Count Zero. The clock is accidentially knocked so that it is no longer correctly caliabrated, but is still working. the End Time is not the last time that the clock ticks.

+
+
+

10.3.  Attributes of Clocks

+ +

Name/Id +

+

Optional location, time or domain of applicability +

+

Optional Epoch, defined in some temporal reference system +

+

Tick definition +

+ + +

Example 1

An atomic clock may be calibrated to be valid only for a given temperature range and altitude.

+
+ +

Example 2

A pendulum clock may have each tick os swing of the pendulum adjusted to be an exace fraction or multiple of a second. The famous London “Big Ben” clock’s pendulum is 4.4m long and ticks every two seconds.

+
+
+

10.4.  Attributes of Timescales

+ +

Name/Id +

+

Optional location, time or domain of applicability +

+

Optional Epoch, defined in some temporal reference system +

+

Arithmetic, whether counted integers or measured real/floating point numbers +

+

Optional Unit of Measure +

+ + +

Example 1

TAI (International Atomic Time, Temps Atomique International) is coordinated by the BIPM (International Bureau of Weights and Measures, Bureau International de Poids et Measures) in Paris, France. It is based on the average of hundreds of separate atomic clocks around the world, all corrected to be at mean sea level and standard pressure and temperature. The epoch is defined by Julian Date 2443144.5003725 (1 January 1977 00:00:32.184).

+
+ +

Example 2

The Julian Day is the continuous count of days (rotations of the Earth with respect to the Sun) since the beginning of the year 4173 BCE and will terminate at the end of the year 3267 CE. The count then starts again as “Period 2”. Many computer based timescales, such as Unix Time, are based on the Julian Day timescale, but with different epochs, to fit the numbers into the limited computer words.

+
+
+

10.5.  Attributes of Units of Measure

+ +

The Direction attribute indicates whether counts or measures increase in the positive (future) or negative (past) direction. The attribute could be part of ‘Timescale’ of ‘TemporalCoordinateReferenceSystem’ rather than a separate class ‘UnitOfMeasure’, but on balace, it seems better here, as the names often imply directionality, such as fathoms increasing downwards, MYA (Millions of Years Ago) increasing earlier, Atmospheric Pressure in NPs (HectoPascals) decreasing upwards, and FL (FlightLevel) incresing upwards.

+ +

Name/Id/Abbreviation +

+

Direction +

+ + +

Example

The number of years before the Current Era (BCE, previously known as BC) increase further back in time, whereas the number of years in the Current Era (CE, previously known as AD) increase further into the future. Tis is an example of two timescales, adjacent but with no overlap. If there was a year zero defined, they could be replaced with one continuous timescale.

+
+
+

10.6.  Attributes of a CRS and Continuous Timescales

+ +

Some clocks allow the measurement or intervals between ticks, such as the movement of the sun across the sky. Alternatively, the ticks may not be completely distinguishable, but are still stable enough over the time of applicability to allow measurements rather than counting to determine the passage of time.

+ +

Name/Id +

+

Optional location, time or domain of applicability +

+

Optional Epoch, defined in some temporal reference system +

+

Arithmetic: Real/Floating point +

+

Optional name for the Unit of Measure +

+

Optional Start time or measure +

+

Optional End time of measure +

+

Optional notations +

+ + +

Example 1

A long, deep ice core is retrieved from a stable ice-sheet. From long term meteorological observations, the rate of accumulation of ice is known, so linear length can be equated to time (assuming a stable climate too). This enable the dates of some previously unknown large scale volcanic eruptions to be identified and timed. Identifiable nuclear fallout from specific atmospheric atomic bomb tests increase the confidence in the timing accuracy.

+
+ +

Example 2

A long, deep, sediment core is extracted from the bottom of a lake with a long geological history. Two layers in the core are dated using radiocarbon dating. Assuming steady rates of sediment deposition, a continuous timescale can be interpolated between the dated layers, and extrapolated before and after the dated layers.

+
+
+
+
+

11.  Attributes of Calendars

+

Calendars combine different timescales and their clocks and unito of measure, and other events, to make a complex timeline against which events can be compared. Calculated algorithms are used to determine which instants of intervals on the compound timescale are identified and labeled.

+

Name/id +

+

Optional location, time or domain of applicability +

+

Optional Epoch, defined in some temporal reference system +

+

Astronomical Type (e.g. solar, sidereal, lunar, luni-solar) +

+

Predictive type (e.g. observed or calculated) +

+

Optional Start time +

+

Optional End time +

+

Constituent units or clocks and counts or timescales +

+

Algorithms to link constituent timescales +

+

Optional notations +

+ +

Example 1

+

The modern Gregorian calendar is calculated solar calendar, with various epochs from 1588 CE through to 1922 CE depending on location or country.

+
+

The constituent timescales are days (earth’s rotations), months (moon’s orbit around the earth), years (earth’s orbit around the sun) and seconds determined by atomic clocks. To accommodate discrepancies, leap days and leap seconds are intercalated in some years. The commonest notations for the Gregorian calendar are ISO 8601 and its various restrictive profiles.

+

Example 2

+

The modern Islamic calendar is an observed lunar calendar, and the major religious dates progress throughout the year, year on year. The important months are determined by the observation of new moons from Mecca.

+
+

Example 3

+

The modern Jewish calendar is a calculated luni-solar calendar, and discrepancies in the solar year are addressed by adding ‘leap months’ every few years.

+
+

Example 4

+

The Ba’hai calendar is a calculated solar calendar, but without any other astronomical aspects. The year consists of 19 months of 19 days each, with 4 or 5 intercalated days for a new year holiday.

+
+

Example 5

+

The West African Yoruba traditional calendar is a solar calendar with months, but rather than subdividing a nominal month of 28 days into 4 weeks, 7 weeks of 4 days are used. This perhaps gave rise to the fortnightly (every 8 days) markets in many villages in the grasslands of north-west Cameroun.

+
+

Example 6

+

Teams controlling remote vehicles on Mars use a solar calendar, with Martian years and martian days (called sols). Months are not used because there are two moons, with different, rather short, orbital periods.

+
+
+
+

12.  Synchronisation of clocks

+

If there are two or more clocks, stationary with respect to each other, and a practical method of communicating their times to each other, the clocks can be perfectly synchronized.

+

However, if the clocks are moving with respect to each other, they cannot be precisely coordinated (unless the communication is instantaneous). As communication speed is limited by the finite constant speed of light, perfect synchronisation is not possible, though repetitive protocols can be used to reduce the synchronization error to any practical desired level.

+

See A Brief History of Timekeeping page=”187-191”.

+
+

+
+

+
+

Annex A
(informative)
Glossary

+

A.1. compound coordinate reference system

+

coordinate reference system using at least two independent coordinate reference systems

+ + + + +

Note 1 to entry: Coordinate reference systems are independent of each other if coordinate values in one cannot be converted or transformed into coordinate values in the other.

[SOURCE: ISO 19111]

+ +

A.2. coordinate

+

one of a sequence of numbers designating the position of a point

+ + + + +

Note 1 to entry: In a spatial coordinate reference system, the coordinate numbers are qualified by units.

[SOURCE: ISO 19111]

+ +

A.3. coordinate epoch

+

epoch to which coordinates in a dynamic coordinate reference system are referenced

+ + +

[SOURCE: ISO 19111]

+ +

A.4. derived coordinate reference system

+

coordinate reference system that is defined through the application of a specified coordinate conversion to the coordinates within a previously established coordinate reference system

+ + + + + + + + +

Note 1 to entry: The previously established coordinate reference system is referred to as the base coordinate reference system.

Note 2 to entry: A derived coordinate reference system inherits its datum or reference frame from its base coordinate reference system.

Note 3 to entry: The coordinate conversion between the base and derived coordinate reference system is implemented using the parameters and formula(s) specified in the definition of the coordinate conversion.

[SOURCE: ISO 19111]

+ +

A.5. dynamic coordinate reference system

+

coordinate reference system that has a dynamic reference frame

+ + + + + + +

Note 1 to entry: Coordinates of points on or near the crust of the Earth that are referenced to a dynamic coordinate reference system may change with time, usually due to crustal deformations such as tectonic motion and glacial isostatic adjustment.

Note 2 to entry: Metadata for a dataset referenced to a dynamic coordinate reference system should include coordinate epoch information.

[SOURCE: ISO 19111]

+ +

A.6. dynamic reference frame

dynamic datum ADMITTED

+ + + +

reference frame in which the defining parameters include time evolution

+ + + + +

Note 1 to entry: The defining parameters that have time evolution are usually a coordinate set.

[SOURCE: ISO 19111]

+ +

A.7. engineering coordinate reference system

+

coordinate reference system based on an engineering datum

+ + + + + + +

Example 1

System for identifying relative positions within a few kilometres of the reference point, such as a building or construction site.

+

Example 2

Coordinate reference system local to a moving object such as a ship or an orbiting spacecraft.

+

Example 3

Internal coordinate reference system for an image. This has continuous axes. It may be the foundation for a grid.

+
+ +

A.8. engineering datum

local datum ADMITTED

+ + + +

datum describing the relationship of a coordinate system to a local reference

+ + + + +

Note 1 to entry: Engineering datum excludes both geodetic and vertical reference frames.

[SOURCE: ISO 19111]

+ +

A.9. frame reference epoch

+

epoch of coordinates that define a dynamic reference frame

+ + +

[SOURCE: ISO 19111]

+ +

A.10. linear coordinate system

+

one-dimensional coordinate system in which a linear feature forms the axis

+ + + + + + +

Example 1

Distances along a pipeline.

+

Example 2

Depths down a deviated oil well bore.

+

[SOURCE: ISO 19111]

+ +

A.11. parameter reference epoch

+

epoch at which the parameter values of a time-dependent coordinate transformation are valid

+ + + + +

Note 1 to entry: The transformation parameter values first need to be propagated to the epoch of the coordinates before the coordinate transformation can be applied.

[SOURCE: ISO 19111]

+ +

A.12. parametric coordinate reference system

+

coordinate reference system based on a parametric datum

+ + +

[SOURCE: ISO 19111]

+ +

A.13. parametric coordinate system

+

one-dimensional coordinate system where the axis units are parameter values which are not inherently spatial

+ + +

[SOURCE: ISO 19111]

+ +

A.14. parametric datum

+

datum describing the relationship of a parametric coordinate system to an object

+ + + + +

Note 1 to entry: The object is normally the Earth.

[SOURCE: ISO 19111]

+ +

A.15. point motion operation

+

coordinate operation that changes coordinates within one coordinate reference system due to the motion of the point

+ + + + + + +

Note 1 to entry: The change of coordinates is from those at an initial epoch to those at another epoch.

Note 2 to entry: In this document the point motion is due to tectonic motion or crustal deformation.

[SOURCE: ISO 19111]

+ +

A.16. spatio-parametric coordinate reference system

+

compound coordinate reference system in which one constituent coordinate reference system is a spatial coordinate reference system and one is a parametric coordinate reference system

+ + + + +

Note 1 to entry: Normally the spatial component is “horizontal” and the parametric component is “vertical”.

[SOURCE: ISO 19111]

+ +

A.17. spatio-parametric-temporal coordinate reference system

+

compound coordinate reference system comprised of spatial, parametric and temporal coordinate reference systems

+ + +

[SOURCE: ISO 19111]

+ +

A.18. spatio-temporal coordinate reference system

+

compound coordinate reference system in which one constituent coordinate reference system is a spatial coordinate reference system and one is a temporal coordinate reference system

+ + +

[SOURCE: ISO 19111]

+ +

A.19. static coordinate reference system

+

coordinate reference system that has a static reference frame

+ + + + + + +

Note 1 to entry: Coordinates of points on or near the crust of the Earth that are referenced to a static coordinate reference system do not change with time.

Note 2 to entry: Metadata for a dataset referenced to a static coordinate reference system does not require coordinate epoch information.

[SOURCE: ISO 19111]

+ +

A.20. static reference frame

+

static datum

reference frame in which the defining parameters exclude time evolution

+ + + + +

[SOURCE: ISO 19111]

+ +

A.21. terrestrial reference system

TRS ADMITTED

+ + + +

set of conventions defining the origin, scale, orientation and time evolution of a spatial reference system co-rotating with the Earth in its diurnal motion in space

+ + + + +

Note 1 to entry: The abstract concept of a TRS is realised through a terrestrial reference frame that usually consists of a set of physical points with precisely determined coordinates and optionally their rates of change. In this document terrestrial reference frame is included within the geodetic reference frame element of the data model

[SOURCE: ISO 19111]

+
+
+

+
+

+

Bibliography

+

[1]  Jean Meeus. Astronomical Algorithms. https://www.agopax.it/Libri_astronomia/pdf/Astronomical%20Algorithms.pdf

[2]  Bureau International des Poids et Mesures (BIPM). Establishment of International Atomic Time and Coordinated Universal Time. https://www.bipm.org/documents/20126/59466374/6_establishment_TAR20.pdf/5b18b648-0d5a-ee02-643d-a60ed6c148fc

[3]  CEN: Env 1613:1995 Medical informatics — Messages for exchange of laboratory information, 1995

[4]  Chad Orzell. A Brief History of Timekeeping. Oneworld Publications. 2022. ISBN-13: 978-0-86154-321-2.

[5]  ISO/TC 211: ISO 19108:2002 Geographic information — Temporal schema, 2021, https://www.iso.org/standard/26013.html

[6]  Lorentz Transform. Wolfram MathWorld. https://mathworld.wolfram.com/LorentzTransformation.html

[7]  H. Minkowski. Space and Time, Minkowski’s Papers on RelativityMinkowski Institute Press, Montreal 2012. https://minkowskiinstitute.org/ebookstore

[8]  The Open Group. UNIX Time. https://pubs.opengroup.org/onlinepubs/9699919799/basedefs/V1_chap04.html#tag_04_16 [last accessed 2023-01]

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+

Candidate SWG Draft

+
+ +
+

OGC Abstract Specification Topic

+
+ + + +
•
+ +
+ + +
+
+ +
+ +
+ Topic 24 - Abstract Conceptual Model for Time + +
+
+ + + + + +
+ + + + + + + Chris Little Editor + + Charles Heazel Editor + + +
+ +
+ Submission Date: 2023-05-23 + Approval Date: 2023-05-23 + Publication Date: 2023-08-22 + External identifier of this OGC® document: http://www.opengis.net/doc/AS/temporal-conceptual-model/1.0 + Internal identifier of this OGC® document: 23-049 + + +
+ +
+ + Version: 1.0
+ + +
+ +
+ +
+ +
+
+ OGC Abstract Specification Topic +
+ +
+

Candidate SWG Draft

+
+
+ +
+
+ +

Notice

+ +

This document is not an OGC Standard. This document is an OGC Abstract Specification Topic and is therefore not an official position of the OGC membership. It is distributed for review and comment. It is subject to change without notice and may not be referred to as an OGC Standard.

+

Further, an OGC Abstract Specification Topic should not be referenced as required or mandatory technology in procurements.

+
+ + +
+
+ +
+ + + + + + +
Document number:23-049
Document type:OGC Abstract Specification Topic
Document subtype:
Document stage:Candidate SWG Draft
Document language:English
+
+ +
+
+
+

Copyright notice

+ + +

Copyright + © 2023 Open Geospatial Consortium
+ To obtain additional rights of use, visit + http://www.ogc.org/legal/

+
+

Note

+ +

Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. The Open Geospatial Consortium shall not be held responsible for identifying any or all such patent rights.

+ +

Recipients of this document are requested to submit, with their comments, notification of any relevant patent claims or other intellectual property rights of which they may be aware that might be infringed by any implementation of the standard set forth in this document, and to provide supporting documentation.

+
+
+
+ +
+
+
+ + +
+ + +
+
+
+
+

License Agreement

+ + +

Permission is hereby granted by the Open Geospatial + Consortium, (“Licensor”), free of charge and subject to the terms set + forth below, to any person obtaining a copy of this Intellectual Property and + any associated documentation, to deal in the Intellectual Property without + restriction (except as set forth below), including without limitation the + rights to implement, use, copy, modify, merge, publish, distribute, and/or + sublicense copies of the Intellectual Property, and to permit persons to whom + the Intellectual Property is furnished to do so, provided that all copyright notices + on the intellectual property are retained intact and that each person to whom + the Intellectual Property is furnished agrees to the terms of this Agreement.

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+ +

Except as contained in this notice, the name of + LICENSOR or of any other holder of a copyright in all or part of the Intellectual + Property shall not be used in advertising or otherwise to promote the sale, use + or other dealings in this Intellectual Property without prior written + authorization of LICENSOR or such copyright holder. LICENSOR is and shall at + all times be the sole entity that may authorize you or any third party to use + certification marks, trademarks or other special designations to indicate + compliance with any LICENSOR standards or specifications. + This Agreement is + governed by the laws of the Commonwealth of Massachusetts. The application to + this Agreement of the United Nations Convention on Contracts for the + International Sale of Goods is hereby expressly excluded. In the event any + provision of this Agreement shall be deemed unenforceable, void or invalid, such + provision shall be modified so as to make it valid and enforceable, and as so + modified the entire Agreement shall remain in full force and effect. No + decision, action or inaction by LICENSOR shall be construed to be a waiver of + any rights or remedies available to it.

+ +

None of the Intellectual Property or underlying information or technology may be downloaded or otherwise exported or reexported in violation of U.S. export laws and regulations. In addition, you are responsible for complying with any local laws in your jurisdiction which may impact your right to import, export or use the Intellectual Property, and you represent that you have complied with any regulations or registration procedures required by applicable law to make this license enforceable.

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+

I.  Abstract

+

Traditionally, geospatial communities used 2D coordinates and the vertical and temporal aspects were considered attributes rather than fully fledged coordinate systems. In an increasingly dynamic, speedier and multidimensional world, much confusion and lack of interoperability has occurred because of inconsistent approaches to time. Much effort has been expended by various international bodies to establish the Gregorian Calendar as a consistent timeline. This suffices for low precision, such as to the nearest minute, but not so when second or sub-second accuracy is required. For example, there has been differing practices and no consensus on whether leap seconds should be part of the Gregorian timeline.

+

The fundamental concepts of events, clocks, timescales, coordinates and calendars have been long established, but there is no clear, straightforward defining document. This document aims to to give clear consistent definitions of the fundamental concepts and terminology, so that people are well aware of the advantages and disadvantages of adopting a particular technological approach and then perhaps they can contribute to building better and more interoperable systems using other more detailed documents such as logical and implementation standards that have an agreed common conceptual basis and terminology.

+

This document is consistent with ISO 19111 and W3C Time Ontology in OWL.

+

The aim of this document is to establish clear concepts and terminology.

+
+
+

II.  Keywords

+

The following are keywords to be used by search engines and + document catalogues.

+

ogcdoc, OGC document, abstract specification, conceptual model, time, temporal referencing, referencing by coordinates, calendar, clock, timescale

+
+
+
+

III.  Preface

+

Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. The Open Geospatial Consortium shall not be held responsible for identifying any or all such patent rights.

+

Recipients of this document are requested to submit, with their comments, notification of any relevant patent claims or other intellectual property rights of which they may be aware that might be infringed by any implementation of the standard set forth in this document, and to provide supporting documentation.

+
+
+

IV.  Security Considerations

+

No security considerations have been made for this document.

+
+
+

V.  Submitting Organizations

+

The following organizations submitted this Document to the + Open Geospatial Consortium (OGC):

+
    +
  • U.K. Met Office, HeazelTech
    • +
+
+
+

VI.  Submitters

+

All questions regarding this submission should be directed to the editor or the +submitters:

+ + + + + + + + + + + + + + + + + +
NameAffiliation
Chris Little (editor)U.K. Met Office
Chuck HeazelHeazelTech
+
+
+

VII.  Introduction

+

When OGC standards involve time, they generally refer to the ISO documents such as ISO 19108 (now largely superseded), ISO 19111, ISO 8601, and their freely available OGC equivalents, such as OGC_18-005r4 (the equivalent to ISO 19111).

+

Much effort over decades has gone into establishing complex structures to represent calendar based time, such as the ISO 8601 notation, and many date-time schemas. Because of this effort, many people use calendar based “coordinates”, with the attendant ambiguities, imprecision and inappropriate scope.

+

The aim of this document is to establish clear concepts and terminology, so that people are well aware of the advantages and disadvantages of adopting a particular technological approach and then perhaps contribute to building better interoperable systems.

+
+

Topic 24 - Abstract Conceptual Model for Time

+
+

1.  Scope

+

This document defines the major underlying concepts regarding time. It does not define any concrete temporal reference systems or give detailed guidance on implementations.

+
+
+

2.  Conformance

+

Clause 6 of this International Standard uses the Unified Modeling Language (UML) to present +conceptual schemas for describing the higher level classes of time and temporal reference systems. These schemas define conceptual classes that

+

a) may be considered to comprise a cross-domain application schema, or

+

b) may be used in application schemas, profiles and implementation specifications.

+

This flexibility is controlled by a set of UML types that can be implemented in a variety of manners. Use of +alternative names that are more familiar in a particular application is acceptable, provided that there is a one- +to-one mapping to classes and properties in this International Standard. +The UML model in this International Standard defines conceptual classes; various software systems define +implementation classes or data structures. All of these reference the same information content. The same +name may be used in implementations as in the model, so that types defined in the UML model may be used +directly in application schemas.

+

Annex A defines a set of conformance tests that will support applications whose requirements range from the +minimum necessary to define data structures to full object implementation.

+
+

3.  Normative references

+

The following documents are referred to in the text in such a way that some or all of their content constitutes requirements of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.

+ + +

IETF: RFC 3339 Date and Time on the Internet: Timestamps. https://www.rfc-editor.org/rfc/rfc3339

+

ISO/TC 211: 8601:2004 Data elements and interchange formats — Information interchange — Representation of dates and times, 2004, https://www.iso.org/standard/40874.html

+

ISO/TC 211: ISO 19111:2019, Geographic information – Referencing by coordinates, 2019, https://www.iso.org/standard/74039.html

+

Allen, J. F. Maintaining Knowledge about Temporal IntervalsCommunications of the ACM, 1983, vol. 26 pp. 832-843.

+

OGC: 18-005, OGC Abstract Specification Topic 2: Referencing by coordinates Corrigendum, 2021, https://docs.ogc.org/as/18-005r5/18-005r5.html

+

W3C: Time Ontology in OWL, 2017, https://www.w3.org/TR/2017/REC-owl-time-20171019/

+
+

4.  Terms and definitions

This document uses the terms defined in OGC Policy Directive 49, which is based on the ISO/IEC Directives, Part 2, Rules for the structure and drafting of International Standards. In particular, the word “shall” (not “must”) is the verb form used to indicate a requirement to be strictly followed to conform to this document and OGC documents do not use the equivalent phrases in the ISO/IEC Directives, Part 2.

This document also uses terms defined in the OGC Standard for Modular specifications (OGC 08-131r3), also known as the ‘ModSpec’. The definitions of terms such as standard, specification, requirement, and conformance test are provided in the ModSpec.

For the purposes of this document, the following additional terms and definitions apply.

4.1. conceptual model

+

description of common concepts and their relationships, particularly in order to facilitate exchange of information between parties within a specific domain. A conceptual model is explicitly chosen to be independent of design or implementation concerns.

+ + +

[SOURCE: CEN ENV 1613:1995]

4.2. coordinate reference system

+

coordinate system that is related to an object by a datum

+ + + + + + +

Note 1 to entry: Geodetic and vertical datums are referred to as reference frames.

Note 2 to entry: For geodetic and vertical reference frames, the object will be the Earth. In planetary applications, geodetic and vertical reference frames may be applied to other celestial bodies.

[SOURCE: ISO 19111]

4.3. coordinate system

+

set of mathematical rules for specifying how coordinates are to be assigned to points

+ + +

[SOURCE: ISO 19111]

4.4. datum

reference frame ADMITTED

+ + + +

parameter or set of parameters that realize the position of the origin, the scale, and the orientation of a coordinate system

+ + +

[SOURCE: ISO 19111]

4.5. epoch

+ + +

<geodesy> point in time

+ + + + + + +

Note 1 to entry: In this document an epoch is expressed in the Gregorian calendar as a decimal year.

Example

2017-03-25 in the Gregorian calendar is epoch 2017.23.

+

[SOURCE: ISO 19111]

4.6. reference frame

datum ADMITTED

+ + + +

parameter or set of parameters that realize the position of the origin, the scale, and the orientation of a coordinate system

+ + +

[SOURCE: ISO 19111]

4.7. temporal coordinate reference system

+

coordinate reference system based on a temporal datum

+ + +

[SOURCE: ISO 19111]

4.8. temporal coordinate system

+ + +

<geodesy> one-dimensional coordinate system where the axis is time

+ + +

[SOURCE: ISO 19111]

4.9. temporal datum

+

datum describing the relationship of a temporal coordinate system to an object

+ + + + +

Note 1 to entry: The object is normally time on the Earth.

[SOURCE: ISO 19111]

+
+

5.  Conventions

+

5.1.  Abbreviated terms

+ +

CRS

Coordinate Reference System

+

TRS

Temporal Reference System

+

UML

Unified Modelling Language

+

2D

2-dimensional

+

3D

3-dimensional

+
+
+

5.2.  Identifiers

+ +

The normative provisions in this standard are denoted by the URI:

+ +

http://www.opengis.net/doc/AS/temporal-conceptual-model/1.0

+ +

All requirements and conformance tests that appear in this document are denoted by partial URIs which are relative to this base.

+
+
+
+

6.  Characteristics of an Abstract Conceptual Model

+

The terms and definitions clause in this Abstract Specification provides a short definition for “conceptual model”. This clause provides additional information on the OGC use of “conceptual model”.

+

A conceptual model organizes the vocabulary needed to communicate consistently and thoroughly about the know-how of a problem domain. The aim of a conceptual model is to express the meaning of terms and concepts used by domain experts to discuss the problem, and to find the correct relationships between different concepts.

+

A conceptual model:

+

  1. is a representation of a system, made of the composition of concepts which are used to help people know, understand, or simulate a subject the model represents. A documented conceptual model represents ‘concepts’ (entities), the relationships between them, and a vocabulary;

    +
    2. +

  2. is explicitly defined to be independent of design or implementation concerns;

    +
    3. +

  3. organizes the vocabulary needed to communicate consistently and thoroughly about the know-how of a problem domain;

    +
    4. +

  4. starts with a glossary of terms and definitions. There is a very high premium on high-quality, design-independent definitions, free of data or implementation biases; the model also emphasizes rich vocabulary; and

    +
    5. +

  5. is always about identifying the correct choice of terms to use in communications, including statements of rules and requirements, especially where high precision and subtle distinctions need to be made. The core concepts of a temporal geospatial problem domain are typically quite stable over time.

    +
    6. +
+
+
+

7.  Temporal Abstract Conceptual Model

+

This attempt at a Temporal Abstract Conceptual Model follows ISO 19111, which is the ISO adoption of OGC_18-005r4.

+

The model is also informed by the W3C Time Ontology.

NOTE  This Mermaid diagram should be converted to PlantUML for Metanorma, by replacing +the Mermaid container with the following.

+

+ [plantuml] @startuml . . @enduml +

+ 
classDiagram
class ReferenceSystem {
        <<abstract>>
        dimension = 1..*
        applicableLocationTimeOrDomain
    }
class SpatialReferenceSystem {
        <<abstract>>
        dimension = 1..*
        applicableLocationTimeOrDomain
    }
class TemporalReferenceSystem {
        <<abstract>>
        dimension = 1
        applicableLocationTimeOrDomain
    }
note for ReferenceSystem "Note: Has at least one of:\nSpatialReferenceSystem, or \nTemporalReferenceSystem"
ReferenceSystem <|-- SpatialReferenceSystem : is a
ReferenceSystem <|-- TemporalReferenceSystem : is a
class OrdinalTemporalReferenceSystem {
        dimension = 1
        applicableLocationTimeOrDomain
    }
class TemporalCoordinateReferenceSystem {
        dimension = 1
        applicableLocationTimeOrDomain
    }
class Calendar {
        dimension = 1
        applicableLocationTimeOrDomain
    }
note for TemporalReferenceSystem "Note: Consists of one only of:\nTemporalCoordinateReferenceSystem,\nCalendar, or \nOrdinalTemporalReferenceSystem"
TemporalReferenceSystem <|-- OrdinalTemporalReferenceSystem : is a
TemporalReferenceSystem <|-- TemporalCoordinateReferenceSystem : is a
TemporalReferenceSystem <|-- Calendar : is a

OrdinalTemporalReferenceSystem "1" o-- "(ordered)" Events : consists of
OrdinalTemporalReferenceSystem "1" o-- "0..1" Epoch : has an
OrdinalTemporalReferenceSystem "1" --> "1..*" Notation : can use
TemporalCoordinateReferenceSystem "1" o-- "1" Epoch : has an
TemporalCoordinateReferenceSystem "1" --> "1..*" Notation : can use
TemporalCoordinateReferenceSystem "1" o-- "1" Timescale : has a
Calendar "1" o-- "0..1" Epoch : has an
Calendar "1" --> "1..*" Notation : can use
Calendar "1" o-- "1..*" Timescale : has a
Calendar "1" o-- "1..*" Algorithm : has a
class Timescale {
        StartCount
        EndCount
        arithmetic
    }
Timescale "1" o-- "1" Clock : has a
Timescale "1" o-- "1" UnitOfMeasure : has a
class Clock {
        Tick definition
    }
class UnitOfMeasure {
        Direction
    }
+

Figure 1

+
+
+

8.  Temporal regimes

+

8.1.  General

+ +

To help us think more clearly about time, this paper adopts the term “Regime” to describe the fundamentally different types of time and its measurement under consideration. This is a pragmatic approach that allows the grouping of recommendations and best practices in a practical way, but without obscuring the connection to the underlying theoretical components.

+ +

The first three regimes have deep underlying physical and mathematical foundations which cannot be legislated away. The fourth regime, of calendars, uses a seemingly random mixture of ad hoc algorithms, arithmetic, numerology and measurements. Paradoxically, this regime has historically driven advances in mathematics and physics.

+ +

The regimes are applicable to other planets and outer space, but with due consideration.

+
+

8.2.  Events and Operators

+ +

The simplest way of relating entities in time is by events that can be ordered, that is, established in a sequence, and this sequence is used as an approximate measure of the passage of time.

+ +

In this regime, no clocks or time measurements are defined, only events, that are ordered in relation to each other. For example, geological layers, sediment or ice core layers, archaeological sequences, sequential entries in computer logs without coordinated time.

+ +

One set of events may be completely ordered with respect to each other, but another set of similar internally consistent events cannot be cross-referenced until extra information is available. Even then, only partial orderings may be possible.

+ +

In this regime, the Allen Operators can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So in our example, B occurs in the interval (A,C). However, we cannot perform arithmetic operations like (B-A) or (C-A) as we have not defined any timescale or measurements. For example, in geology, ‘subtracting’ Ordovician from Jurassic is meaningless; or in archeology, ‘subtracting’ a layer with a certain type of pottery remains from the layer containing burnt wood and bones is again not meaningful. Only the ordering can be deduced.

+ +

This regime constitutes an Ordinal Temporal Reference System, with discrete enumerated ordered events.

+
+

8.3.  Simple Clocks and Discrete Timescales

+ +

In this regime, a clock is defined as any regularly repeating physical phenomena, such as pendulum swings, earth’s rotation about sun, earth’s rotation about its axis, heart beats, vibrations of electrically stimulated quartz crystals or the resonance of the unperturbed ground-state hyperfine transition frequency of the caesium 133 atom. Some phenomena make better clocks that others, in terms of the number of repetitions possible, the consistency of each repetition and the precision of each ‘tick’. A mechanism for counting, or possibly measuring, the ticks is desirable.

+ +

It is an assumption that the ticks are regular and homogeneous.

+ +

There is no sub-division between two successive clock ticks. Measuring time consists of counting the complete number of repetitions of ticks since the clock started, or since some other event at a given clock count.

+ +

There is no time measurement before the clock started, or after it stops.

+ +

It may seem that time can be measured between ‘ticks’ by interpolation, but this needs another clock, with faster ticks. This process of devising more precise clocks continues down to the atomic scale, and then the deterministic process of physically trying to interpolate between ticks is not possible.

+ +

The internationally agreed atomic time, TAI, is an example of a timescale with an integer count as the measure of time, though in practice it is an arithmetic compromise across about two hundred separate atomic clocks, corrected for differing altitudes and temperatures.

+ +

In this regime, the Allen Operators also can be used. If L occurs before M and M occurs before N, then we can correctly deduce that L occurs before N. The full set of operators also covers pairs of intervals. So if M occurs in the interval (L,N), we can now perform integer arithmetic operations like (M-L) or (N-L) as we have defined an integer timescale or measurement.

+ +

This regime constitutes a Temporal Coordinate Reference System, with discrete integer units of measure which can be subject to integer arithmetic.

+
+

8.4.  CRS and Continuous Timescales

+ +

This regime takes a clock from the previous regime and assumes that between any two adjacent ticks, it is possible to interpolate indefinitely to finer and finer precision, using ordinary arithmetic, rather than any physical device. Units of Measure may be defrined that are different from the ‘ticks’. For example, a second may be defined as 9,192,631,770 vibrations of the ground-state hyperfine transition of the caesium 133 atom. Alternatively and differently, a second may be defined as 1/86400th of the toataion of the earth on its axis with respect to the sun. The count of rotations are the ‘ticks’ of an earth-day clock. This latter definition is not precise enough for many uses, as the rotaion of the earth on its axis varies from day to day.

+ +

Alternatively, it may be that the ticks are not counted but measured, and the precision of the clock is determined by the precision of the measurements, such as depth in an ice core, or angular position of an astronomical body,such as the sun, moon or a star.

+ +

It is also assumed that time can be extrapolated to before the time when the clock started and into the future, possibly past when the clock stops.

+ +

This gives us a continuous number line to perform theoretical measurements. It is a coordinate system. With a datum/origin/epoch, a unit of measure (a name for the ‘tick marks’ on the axis), positive and negative directions and the full range of normal arithmetic. It is a Coordinate Reference System.

+ +

In this regime, the Allen Operators also can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So if B occurs in the interval (A,C), we can now perform real number arithmetic operations like (B-A) or (C-A) as we have defined a timescale or measurement, and between any two instants, we can always find an infinite number of other instants.

+ +

Some examples are:

+ +

  • Unix milliseconds since 1970-01-01T00:00:00.0Z

    +
    • +

  • Julian Days, and fractions of a day, since noon on 1st January, 4713 BCE.

    +
    • +
+ +

This regime constitutes a Temporal Coordinate Reference System, with a continuous number line and units of measure, which can be subject to the full range of real or floating point arithmetic.

+
+

8.5.  Calendars

+ +

In this regime, counts and measures of time are related to the various combinations of the rotations of the earth, moon and sun or other astronomical bodies. There is no simple arithmetic, so for example, the current civil year count of years in the Current Era (CE) and Before Current Era (BCE) is a calendar, albeit a very simple one, as there is no year zero. That is, Year 14CE – Year 12CE is a duration of 2 years, and Year 12BCE — Year 14BCE is also two years. However Year 1CE — Year 1BCE is one year, not two as there is no year 0CE or 0BCE.

+ +

Calendars are social constructs made by combining several clocks and their associated timescales.

+ +

This paper only addresses the internationally agreed Gregorian calendar. Astronomical Algorithms by Jean Meeus provides overwhelming detail for conversion to numerous other calendars that have developed around the world and over the millennia and to meet the various social needs of communities, whether agricultural, religious or other. The reference is comprehensive but not exhaustive, as there are calendars that have been omitted.

+ +

A Calendar is a Temporal Reference System, but it is not a Temporal Coordinate Reference System nor an Ordinal Temporal Reference System.

+
+

8.6.  Other Regimes

+ +

There are other regimes, which are out of scope of this document. This could include local solar time, useful, for example, for the calculation of illumination levels and the length of shadows on aerial photography, or relativistic time.

+ +

8.6.1.  Local Solar Time

+ +

Local solar time may or may not correspond to the local statutory or legal time in a country. Local solar time can be construed as a clock and timescale, with an angular measure of the apparent position of the sun along the ecliptic (path through the sky) as the basic physical principle.

+
+ +

8.6.2.  Space-time

+ +

When dealing with moving objects, we find that the location of the object in space depends on its location in time. That is to say, that the location is an event in space and time.

+ +

Originally developed by Hermann Minkowski to support work in Special Relativity, the concept of Space-time is useful whenever the location of an object in space is dependent on its location in time.

+ +

Since the speed of light in a vacuum is a measurable constant, Space-time uses that constant to create a coordinate axis with spatial units of measure (meters per second * seconds = meters). The result is coordinate reference system with four orthogonal axis all with the same units of measure, distance.

+
+ +

8.6.3.  Relativistic

+ +

A regime may be needed for ‘space-time’, off the planet Earth, such as for recording and predicting space weather approaching from the sun, where the speed of light and relativistic effects such as gravity may be relevant.

+ +

Once off the planet Earth, distances and velocities can become very large. The speed of light becomes a limiting factor in measuring both where and when an event takes place. Special Relativity deals with the accurate measurement of Space-time events as measured between two moving objects. The core concepts are the Lorentz Transforms. These transforms allow one to calculate the degree of “contraction” a measurement undergos due to the relative velocity between the observing and observed object.

+ +

The key to this approach is to ensure each moving feature of interest has its own local clock and time, known as its ‘proper time’. This example can be construed as a fitting into the clock and timescale regime. The relativistic effects are addressed through the relationships between the separate clocks, positions and velocities of the features.

+ +

Relativistic effects may need to be taken into account for satellites and other space craft because of their relative speed and position in Earth’s gravity well.

+ +

The presence of gravitational effects requires special relativity to te replaced by general relativity, and it can no longer be assumed that space (or space-time) is Euclidean. That is, Pythagoras’ Theorem does not hold execept locally over small areas. this is somewhat unfamiliar territory for geospatial experts.

+
+ +

8.6.4.  Accountancy

+ +

The financial and administrative domains often use weeks, quarters, and other calendrical measures. These may be convenient (though often not!) for the requisite tasks, but are usually inappropriate for scientific or technical purposes.

+
+
+
+
+

9.  Notation

+

There are often widely agreed, commonly accepted, notations used for temporal reference systems, but few have been standardised. Any particular notation may be capable of expressing a wider range of times than are valid for the reference system.

+

Example

+

The IETF RFC 3339 timestamp notation, a restrictive profile of ISO 8601, can express times before 1588CE, when the Gregorian calendar was first introduced in some parts of the world.

+
+
+
+

10.  Attributes of the Regimes/Classes

+

The top level Reference System is an abstract super-class and does not have many attributes or properties. So far, only the total dimension of the reference system and the Location, Time or Domain of Applicability have been identified as essential.

+

The ‘ReferenceSystem’ has two abstract sub-classes: ‘SpatialReferenceSystem’ , which is defined in ISO 19111, and ‘TemporalReferenceSystem’, each with the attributes of Dimension and Domains of Applicability.

+

The Dimension is one for time, or a vertical reference system, but may be as much as 6 for spatial location with orientation.

+

Besides the conventional space and time, there may be other reference systems, such as wavelength/frequency, that can be addressed by the Abstract Conceptual Model.

+

10.1.  Attributes of Events and Ordinal Temporal Reference Systems

+ +

  1. An OrdinalTemporal Reference System has a well-ordered finite sequence of events against which other events can b e compared.

    +
    2. +

  2. Name/Id

    +
    3. +

  3. Optional location, time or domain of applicability

    +
    4. +

  4. Optional Epoch, defined in some temporal reference system

    +
    5. +

  5. Listed or enumerated sequence of events with the first and last events

    +
    6. +

  6. Optional notations

    +
    7. +
+ +

Example

Ancient annals of a country may give a sequence of emperors which could be used to ‘date’ another event such as “Emperor Xi built a canal”, or may be used to date a particular reign. For example: “In the reign of Emperor Yi, a comet was sighted” and later research identifies this as an appearance of Hailey’s Comet.

+
+ +

The events from the list may be instants, such as the change of reign, or intervals, such as the complete reign of each king.

+ +

Other documents may enable two such ‘king lists’ to be related, though not completely.

+
+

10.2.  Attributes of simple Clock and Discrete Timescale

+ +

A clock is a regular, repeating, physical event, or ‘tick’, that can be counted. The sequence of tick counts is a timescale. The ticks may be grouped into a Unit of Meaure for convenience. Other events can be compared to the ticks on the timescale.

+ +

  1. Name/Id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Arithmetic: Integer

    +
    5. +

  5. Optional name for each tick

    +
    6. +

  6. Optional Start time or count

    +
    7. +

  7. Optional End time or count

    +
    8. +

  8. Optional Unit of Measure and number of ticks per Unit

    +
    9. +

  9. Optional notations

    +
    10. +
+ +

Example 1

A well preserved fossilised log is recovered and the tree rings establish an annual ‘tick’. The start and end times may be known accurately by comparison and matching with other known tree ring sequences, or perhaps only dated imprecisely via Carbon Dating, or its archaeological or geological context.

+
+ +

Example 2

A clock is started, but undergoes a calibration process against some standards clock, so the initial, reliable Start Time does not start at Count Zero. The clock is accidentially knocked so that it is no longer correctly caliabrated, but is still working. the End Time is not the last time that the clock ticks.

+
+
+

10.3.  Attributes of Clocks

+ +

  1. Name/Id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Tick definition

    +
    5. +
+ +

Example 1

An atomic clock may be calibrated to be valid only for a given temperature range and altitude.

+
+ +

Example 2

A pendulum clock may have each tick os swing of the pendulum adjusted to be an exace fraction or multiple of a second. The famous London “Big Ben” clock’s pendulum is 4.4m long and ticks every two seconds.

+
+
+

10.4.  Attributes of Timescales

+ +

  1. Name/Id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Arithmetic, whether counted integers or measured real/floating point numbers

    +
    5. +

  5. Optional Unit of Measure

    +
    6. +
+ +

Example 1

TAI (International Atomic Time, Temps Atomique International) is coordinated by the BIPM (International Bureau of Weights and Measures, Bureau International de Poids et Measures) in Paris, France. It is based on the average of hundreds of separate atomic clocks around the world, all corrected to be at mean sea level and standard pressure and temperature. The epoch is defined by Julian Date 2443144.5003725 (1 January 1977 00:00:32.184).

+
+ +

Example 2

The Julian Day is the continuous count of days (rotations of the Earth with respect to the Sun) since the beginning of the year 4173 BCE and will terminate at the end of the year 3267 CE. The count then starts again as “Period 2”. Many computer based timescales, such as Unix Time, are based on the Julian Day timescale, but with different epochs, to fit the numbers into the limited computer words.

+
+
+

10.5.  Attributes of Units of Measure

+ +

The Direction attribute indicates whether counts or measures increase in the positive (future) or negative (past) direction. The attribute could be part of ‘Timescale’ of ‘TemporalCoordinateReferenceSystem’ rather than a separate class ‘UnitOfMeasure’, but on balace, it seems better here, as the names often imply directionality, such as fathoms increasing downwards, MYA (Millions of Years Ago) increasing earlier, Atmospheric Pressure in NPs (HectoPascals) decreasing upwards, and FL (FlightLevel) incresing upwards.

+ +

  1. Name/Id/Abbreviation

    +
    2. +

  2. Direction

    +
    3. +
+ +

Example

The number of years before the Current Era (BCE, previously known as BC) increase further back in time, whereas the number of years in the Current Era (CE, previously known as AD) increase further into the future. Tis is an example of two timescales, adjacent but with no overlap. If there was a year zero defined, they could be replaced with one continuous timescale.

+
+
+

10.6.  Attributes of a CRS and Continuous Timescales

+ +

Some clocks allow the measurement or intervals between ticks, such as the movement of the sun across the sky. Alternatively, the ticks may not be completely distinguishable, but are still stable enough over the time of applicability to allow measurements rather than counting to determine the passage of time.

+ +

  1. Name/Id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Arithmetic: Real/Floating point

    +
    5. +

  5. Optional name for the Unit of Measure

    +
    6. +

  6. Optional Start time or measure

    +
    7. +

  7. Optional End time of measure

    +
    8. +

  8. Optional notations

    +
    9. +
+ +

Example 1

A long, deep ice core is retrieved from a stable ice-sheet. From long term meteorological observations, the rate of accumulation of ice is known, so linear length can be equated to time (assuming a stable climate too). This enable the dates of some previously unknown large scale volcanic eruptions to be identified and timed. Identifiable nuclear fallout from specific atmospheric atomic bomb tests increase the confidence in the timing accuracy.

+
+ +

Example 2

A long, deep, sediment core is extracted from the bottom of a lake with a long geological history. Two layers in the core are dated using radiocarbon dating. Assuming steady rates of sediment deposition, a continuous timescale can be interpolated between the dated layers, and extrapolated before and after the dated layers.

+
+
+
+
+

11.  Attributes of Calendars

+

Calendars combine different timescales and their clocks and unito of measure, and other events, to make a complex timeline against which events can be compared. Calculated algorithms are used to determine which instants of intervals on the compound timescale are identified and labeled.

+

  1. Name/id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Astronomical Type (e.g. solar, sidereal, lunar, luni-solar)

    +
    5. +

  5. Predictive type (e.g. observed or calculated)

    +
    6. +

  6. Optional Start time

    +
    7. +

  7. Optional End time

    +
    8. +

  8. Constituent units or clocks and counts or timescales

    +
    9. +

  9. Algorithms to link constituent timescales

    +
    10. +

  10. Optional notations

    +
    11. +
+

Example 1

+

The modern Gregorian calendar is calculated solar calendar, with various epochs from 1588 CE through to 1922 CE depending on location or country.

+
+

The constituent timescales are days (earth’s rotations), months (moon’s orbit around the earth), years (earth’s orbit around the sun) and seconds determined by atomic clocks. To accommodate discrepancies, leap days and leap seconds are intercalated in some years. The commonest notations for the Gregorian calendar are ISO 8601 and its various restrictive profiles.

+

Example 2

+

The modern Islamic calendar is an observed lunar calendar, and the major religious dates progress throughout the year, year on year. The important months are determined by the observation of new moons from Mecca.

+
+

Example 3

+

The modern Jewish calendar is a calculated luni-solar calendar, and discrepancies in the solar year are addressed by adding ‘leap months’ every few years.

+
+

Example 4

+

The Ba’hai calendar is a calculated solar calendar, but without any other astronomical aspects. The year consists of 19 months of 19 days each, with 4 or 5 intercalated days for a new year holiday.

+
+

Example 5

+

The West African Yoruba traditional calendar is a solar calendar with months, but rather than subdividing a nominal month of 28 days into 4 weeks, 7 weeks of 4 days are used. This perhaps gave rise to the fortnightly (every 8 days) markets in many villages in the grasslands of north-west Cameroun.

+
+

Example 6

+

Teams controlling remote vehicles on Mars use a solar calendar, with Martian years and martian days (called sols). Months are not used because there are two moons, with different, rather short, orbital periods.

+
+
+
+

12.  Synchronisation of clocks

+

If there are two or more clocks, stationary with respect to each other, and a practical method of communicating their times to each other, the clocks can be perfectly synchronized.

+

However, if the clocks are moving with respect to each other, they cannot be precisely coordinated (unless the communication is instantaneous). As communication speed is limited by the finite constant speed of light, perfect synchronisation is not possible, though repetitive protocols can be used to reduce the synchronization error to any practical desired level.

+

See A Brief History of Timekeeping page=”187-191”.

+
+
+
+

Annex A
(informative)
Glossary

+

A.1. compound coordinate reference system

+

coordinate reference system using at least two independent coordinate reference systems

+ + + + +

Note 1 to entry: Coordinate reference systems are independent of each other if coordinate values in one cannot be converted or transformed into coordinate values in the other.

[SOURCE: ISO 19111]

+ +

A.2. coordinate

+

one of a sequence of numbers designating the position of a point

+ + + + +

Note 1 to entry: In a spatial coordinate reference system, the coordinate numbers are qualified by units.

[SOURCE: ISO 19111]

+ +

A.3. coordinate epoch

+

epoch to which coordinates in a dynamic coordinate reference system are referenced

+ + +

[SOURCE: ISO 19111]

+ +

A.4. derived coordinate reference system

+

coordinate reference system that is defined through the application of a specified coordinate conversion to the coordinates within a previously established coordinate reference system

+ + + + + + + + +

Note 1 to entry: The previously established coordinate reference system is referred to as the base coordinate reference system.

Note 2 to entry: A derived coordinate reference system inherits its datum or reference frame from its base coordinate reference system.

Note 3 to entry: The coordinate conversion between the base and derived coordinate reference system is implemented using the parameters and formula(s) specified in the definition of the coordinate conversion.

[SOURCE: ISO 19111]

+ +

A.5. dynamic coordinate reference system

+

coordinate reference system that has a dynamic reference frame

+ + + + + + +

Note 1 to entry: Coordinates of points on or near the crust of the Earth that are referenced to a dynamic coordinate reference system may change with time, usually due to crustal deformations such as tectonic motion and glacial isostatic adjustment.

Note 2 to entry: Metadata for a dataset referenced to a dynamic coordinate reference system should include coordinate epoch information.

[SOURCE: ISO 19111]

+ +

A.6. dynamic reference frame

dynamic datum ADMITTED

+ + + +

reference frame in which the defining parameters include time evolution

+ + + + +

Note 1 to entry: The defining parameters that have time evolution are usually a coordinate set.

[SOURCE: ISO 19111]

+ +

A.7. engineering coordinate reference system

+

coordinate reference system based on an engineering datum

+ + + + + + +

Example 1

System for identifying relative positions within a few kilometres of the reference point, such as a building or construction site.

+

Example 2

Coordinate reference system local to a moving object such as a ship or an orbiting spacecraft.

+

Example 3

Internal coordinate reference system for an image. This has continuous axes. It may be the foundation for a grid.

+
+ +

A.8. engineering datum

local datum ADMITTED

+ + + +

datum describing the relationship of a coordinate system to a local reference

+ + + + +

Note 1 to entry: Engineering datum excludes both geodetic and vertical reference frames.

[SOURCE: ISO 19111]

+ +

A.9. frame reference epoch

+

epoch of coordinates that define a dynamic reference frame

+ + +

[SOURCE: ISO 19111]

+ +

A.10. linear coordinate system

+

one-dimensional coordinate system in which a linear feature forms the axis

+ + + + + + +

Example 1

Distances along a pipeline.

+

Example 2

Depths down a deviated oil well bore.

+

[SOURCE: ISO 19111]

+ +

A.11. parameter reference epoch

+

epoch at which the parameter values of a time-dependent coordinate transformation are valid

+ + + + +

Note 1 to entry: The transformation parameter values first need to be propagated to the epoch of the coordinates before the coordinate transformation can be applied.

[SOURCE: ISO 19111]

+ +

A.12. parametric coordinate reference system

+

coordinate reference system based on a parametric datum

+ + +

[SOURCE: ISO 19111]

+ +

A.13. parametric coordinate system

+

one-dimensional coordinate system where the axis units are parameter values which are not inherently spatial

+ + +

[SOURCE: ISO 19111]

+ +

A.14. parametric datum

+

datum describing the relationship of a parametric coordinate system to an object

+ + + + +

Note 1 to entry: The object is normally the Earth.

[SOURCE: ISO 19111]

+ +

A.15. point motion operation

+

coordinate operation that changes coordinates within one coordinate reference system due to the motion of the point

+ + + + + + +

Note 1 to entry: The change of coordinates is from those at an initial epoch to those at another epoch.

Note 2 to entry: In this document the point motion is due to tectonic motion or crustal deformation.

[SOURCE: ISO 19111]

+ +

A.16. spatio-parametric coordinate reference system

+

compound coordinate reference system in which one constituent coordinate reference system is a spatial coordinate reference system and one is a parametric coordinate reference system

+ + + + +

Note 1 to entry: Normally the spatial component is “horizontal” and the parametric component is “vertical”.

[SOURCE: ISO 19111]

+ +

A.17. spatio-parametric-temporal coordinate reference system

+

compound coordinate reference system comprised of spatial, parametric and temporal coordinate reference systems

+ + +

[SOURCE: ISO 19111]

+ +

A.18. spatio-temporal coordinate reference system

+

compound coordinate reference system in which one constituent coordinate reference system is a spatial coordinate reference system and one is a temporal coordinate reference system

+ + +

[SOURCE: ISO 19111]

+ +

A.19. static coordinate reference system

+

coordinate reference system that has a static reference frame

+ + + + + + +

Note 1 to entry: Coordinates of points on or near the crust of the Earth that are referenced to a static coordinate reference system do not change with time.

Note 2 to entry: Metadata for a dataset referenced to a static coordinate reference system does not require coordinate epoch information.

[SOURCE: ISO 19111]

+ +

A.20. static reference frame

+

static datum

reference frame in which the defining parameters exclude time evolution

+ + + + +

[SOURCE: ISO 19111]

+ +

A.21. terrestrial reference system

TRS ADMITTED

+ + + +

set of conventions defining the origin, scale, orientation and time evolution of a spatial reference system co-rotating with the Earth in its diurnal motion in space

+ + + + +

Note 1 to entry: The abstract concept of a TRS is realised through a terrestrial reference frame that usually consists of a set of physical points with precisely determined coordinates and optionally their rates of change. In this document terrestrial reference frame is included within the geodetic reference frame element of the data model

[SOURCE: ISO 19111]

+
+
+
+

Bibliography

+

[1]  Jean Meeus. Astronomical Algorithms. https://www.agopax.it/Libri_astronomia/pdf/Astronomical%20Algorithms.pdf

[2]  Bureau International des Poids et Mesures (BIPM). Establishment of International Atomic Time and Coordinated Universal Time. https://www.bipm.org/documents/20126/59466374/6_establishment_TAR20.pdf/5b18b648-0d5a-ee02-643d-a60ed6c148fc

[3]  CEN: Env 1613:1995 Medical informatics — Messages for exchange of laboratory information, 1995

[4]  Chad Orzell. A Brief History of Timekeeping. Oneworld Publications. 2022. ISBN-13: 978-0-86154-321-2.

[5]  ISO/TC 211: ISO 19108:2002 Geographic information — Temporal schema, 2021, https://www.iso.org/standard/26013.html

[6]  Lorentz Transform. Wolfram MathWorld. https://mathworld.wolfram.com/LorentzTransformation.html

[7]  H. Minkowski. Space and Time, Minkowski’s Papers on RelativityMinkowski Institute Press, Montreal 2012. https://minkowskiinstitute.org/ebookstore

[8]  The Open Group. UNIX Time. https://pubs.opengroup.org/onlinepubs/9699919799/basedefs/V1_chap04.html#tag_04_16 [last accessed 2023-01]

+ + + + + + + + +
+
+ + + + + + + + + + + + + + + + + + + + + diff --git a/abstract-specification/document.pdf b/23-049/23-049.pdf similarity index 76% rename from abstract-specification/document.pdf rename to 23-049/23-049.pdf index 9dca3875..f473928a 100644 Binary files a/abstract-specification/document.pdf and b/23-049/23-049.pdf differ diff --git a/23-049/23-049.presentation.xml b/23-049/23-049.presentation.xml new file mode 100644 index 00000000..02eb8d64 --- /dev/null +++ b/23-049/23-049.presentation.xml @@ -0,0 +1,1021 @@ + + + +Topic 24 - Abstract Conceptual Model for Time +http://www.opengis.net/doc/AS/temporal-conceptual-model/1.0http://docs.opengeospatial.org/as/23-049/23-049.html23-04923-0492023-08-222023-05-232023-05-23 +U.K. Met Office, HeazelTech + +Chris Little + +Charles Heazel + +Open Geospatial Consortium +1.0en

Traditionally, geospatial communities used 2D coordinates and the vertical and temporal aspects were considered attributes rather than fully fledged coordinate systems. In an increasingly dynamic, speedier and multidimensional world, much confusion and lack of interoperability has occurred because of inconsistent approaches to time. Much effort has been expended by various international bodies to establish the Gregorian Calendar as a consistent timeline. This suffices for low precision, such as to the nearest minute, but not so when second or sub-second accuracy is required. For example, there has been differing practices and no consensus on whether leap seconds should be part of the Gregorian timeline.

+ +

The fundamental concepts of events, clocks, timescales, coordinates and calendars have been long established, but there is no clear, straightforward defining document. This document aims to to give clear consistent definitions of the fundamental concepts and terminology, so that people are well aware of the advantages and disadvantages of adopting a particular technological approach and then perhaps they can contribute to building better and more interoperable systems using other more detailed documents such as logical and implementation standards that have an agreed common conceptual basis and terminology.

+ +

This document is consistent with ISO 19111 and W3C Time Ontology in OWL.

+ +

The aim of this document is to establish clear concepts and terminology.

+swg-draftCandidate SWG Draft2023 +Open Geospatial Consortium +ogcdocOGC documentabstract specificationconceptual modeltimetemporal referencingreferencing by coordinatescalendarclocktimescaleabstract-specification-topictechnicalScopeSymbols and abbreviated termsAbbreviated termsSymbolsTable of contentsIntroductionPrefaceAbstractAcknowledgementsTerms and definitionsTerms, definitions, symbols and abbreviated termsTerms, definitions and symbolsTerms, definitions and abbreviated termsNormative referencesBibliographyPrefaceClauseAnnexAppendix

No terms and definitions are listed in this document.

+

This document uses the terms defined in OGC Policy Directive 49, which is based on the ISO/IEC Directives, Part 2, Rules for the structure and drafting of International Standards. In particular, the word “shall” (not “must”) is the verb form used to indicate a requirement to be strictly followed to conform to this document and OGC documents do not use the equivalent phrases in the ISO/IEC Directives, Part 2.

+

This document also uses terms defined in the OGC Standard for Modular specifications (OGC 08-131r3), also known as the 'ModSpec'. The definitions of terms such as standard, specification, requirement, and conformance test are provided in the ModSpec.

+

For the purposes of this document, the following additional terms and definitions apply.

+The following documents are referred to in the text in such a way that some or all of their content constitutes requirements of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.There are no normative references in this document.

This document uses the terms defined in OGC Policy Directive 49, which is based on the ISO/IEC Directives, Part 2, Rules for the structure and drafting of International Standards. In particular, the word “shall” (not “must”) is the verb form used to indicate a requirement to be strictly followed to conform to this document and OGC documents do not use the equivalent phrases in the ISO/IEC Directives, Part 2.

+

This document also uses terms defined in the OGC Standard for Modular specifications (OGC 08-131r3), also known as the 'ModSpec'. The definitions of terms such as standard, specification, requirement, and conformance test are provided in the ModSpec.

+

For the purposes of this document, the terms and definitions given in % additionally apply.

+

This document uses the terms defined in OGC Policy Directive 49, which is based on the ISO/IEC Directives, Part 2, Rules for the structure and drafting of International Standards. In particular, the word “shall” (not “must”) is the verb form used to indicate a requirement to be strictly followed to conform to this document and OGC documents do not use the equivalent phrases in the ISO/IEC Directives, Part 2.

+

This document also uses terms defined in the OGC Standard for Modular specifications (OGC 08-131r3), also known as the 'ModSpec'. The definitions of terms such as standard, specification, requirement, and conformance test are provided in the ModSpec.

+

For the purposes of this document, the terms and definitions given in % and the following additionally apply.

+(%)%1 and %2%1, and %2%1 or %2%1, or %2%1 and %2%1 or %2%1 from %2%1 to %2NOTENoteNote % to entryListDefinition ListFigureFormulaFormulaTableRequirementRecommendationPermissionKeyExampleExamplewhereWhole of textdraftinformativenormativemodifiedDEPRECATEDSOURCEandAll PartsList of figuresList of tablesList of recommendationsJanuaryFebruaryMarchAprilMayJuneJulyAugustSeptemberOctoberNovemberDecemberObligationSubjectInheritsDangerWarningCautionImportantSafety PrecautionsSectionClausePartParagraphChapterPageTableAnnexFigureExampleNoteFormulamfncommonsgdualplpreppartadjadvnounverbdeprecatessupersedesnarrowerbroaderequivalentcomparecontrastseeClauseClausesAnnexAnnexesAppendixAppendixesNoteNotesNote % to entryNotes % to entryListListsFigureFiguresFormulaFormulasTableTablesRequirementRequirementsRecommendationRecommendationsPermissionPermissionsExampleExamplesPartPartsSectionSectionsParagraphParagraphsChapterChaptersPagePagesADMITTEDSubmittersRecommendation testRequirement testPermission testRecommendations classRequirements classPermissions classAbstract testConformance classNo security considerations have been made for this document.DraftWork Item DraftCandidate SWG DraftCandidate OAB Review DraftCandidate Public RFC DraftCandidate TC Vote DraftApprovedPublishedDeprecatedRescindedRetiredenLatn + + + + Copyright notice + +

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+ +

Recipients of this document are requested to submit, with their comments, notification of any relevant patent claims or other intellectual property rights of which they may be aware that might be infringed by any implementation of the standard set forth in this document, and to provide supporting documentation.

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+ + + + + + + Notice +

This document is not an OGC Standard. This document is an OGC Abstract Specification Topic and is therefore not an official position of the OGC membership. It is distributed for review and comment. It is subject to change without notice and may not be referred to as an OGC Standard.

+

Further, an OGC Abstract Specification Topic should not be referenced as required or mandatory technology in procurements.

+ + + + + + + + + + + + +I.<tab/>Abstract

Traditionally, geospatial communities used 2D coordinates and the vertical and temporal aspects were considered attributes rather than fully fledged coordinate systems. In an increasingly dynamic, speedier and multidimensional world, much confusion and lack of interoperability has occurred because of inconsistent approaches to time. Much effort has been expended by various international bodies to establish the Gregorian Calendar as a consistent timeline. This suffices for low precision, such as to the nearest minute, but not so when second or sub-second accuracy is required. For example, there has been differing practices and no consensus on whether leap seconds should be part of the Gregorian timeline.

+ +

The fundamental concepts of events, clocks, timescales, coordinates and calendars have been long established, but there is no clear, straightforward defining document. This document aims to to give clear consistent definitions of the fundamental concepts and terminology, so that people are well aware of the advantages and disadvantages of adopting a particular technological approach and then perhaps they can contribute to building better and more interoperable systems using other more detailed documents such as logical and implementation standards that have an agreed common conceptual basis and terminology.

+ +

This document is consistent with ISO 19111 and W3C Time Ontology in OWL.

+ +

The aim of this document is to establish clear concepts and terminology.

+ +II.<tab/>Keywords +

The following are keywords to be used by search engines and + document catalogues.

+

ogcdoc, OGC document, abstract specification, conceptual model, time, temporal referencing, referencing by coordinates, calendar, clock, timescale

 + +III.<tab/>Preface +

Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. The Open Geospatial Consortium shall not be held responsible for identifying any or all such patent rights.

+ +

Recipients of this document are requested to submit, with their comments, notification of any relevant patent claims or other intellectual property rights of which they may be aware that might be infringed by any implementation of the standard set forth in this document, and to provide supporting documentation.

+ +IV.<tab/>Security Considerations +

No security considerations have been made for this document.

+ +V.<tab/>Submitting Organizations +

The following organizations submitted this Document to the + Open Geospatial Consortium (OGC):

+
  • U.K. Met Office, HeazelTech
+ + +VI.<tab/>Submitters +

All questions regarding this submission should be directed to the editor or the +submitters:

+ + + + + + + + + +
NameAffiliation
Chris Little (editor)U.K. Met Office
Chuck HeazelHeazelTech
+ +VII.<tab/>Introduction +

When OGC standards involve time, they generally refer to the ISO documents such as ISO 19108 (now largely superseded), ISO 19111, ISO 8601, and their freely available OGC equivalents, such as OGC_18-005r4 (the equivalent to ISO 19111).

+ +

Much effort over decades has gone into establishing complex structures to represent calendar based time, such as the ISO 8601 notation, and many date-time schemas. Because of this effort, many people use calendar based “coordinates”, with the attendant ambiguities, imprecision and inappropriate scope.

+ +

The aim of this document is to establish clear concepts and terminology, so that people are well aware of the advantages and disadvantages of adopting a particular technological approach and then perhaps contribute to building better interoperable systems.

+ + + + + + + + +1.<tab/>Scope +

This document defines the major underlying concepts regarding time. It does not define any concrete temporal reference systems or give detailed guidance on implementations.

+ + + +2.<tab/>Conformance +

Clause 6 of this International Standard uses the Unified Modeling Language (UML) to present +conceptual schemas for describing the higher level classes of time and temporal reference systems. These schemas define conceptual classes that

+ +

a) may be considered to comprise a cross-domain application schema, or

+ +

b) may be used in application schemas, profiles and implementation specifications.

+ +

This flexibility is controlled by a set of UML types that can be implemented in a variety of manners. Use of +alternative names that are more familiar in a particular application is acceptable, provided that there is a one- +to-one mapping to classes and properties in this International Standard. +The UML model in this International Standard defines conceptual classes; various software systems define +implementation classes or data structures. All of these reference the same information content. The same +name may be used in implementations as in the model, so that types defined in the UML model may be used +directly in application schemas.

+ +

Annex A defines a set of conformance tests that will support applications whose requirements range from the +minimum necessary to define data structures to full object implementation.

+ + + + + +4.<tab/>Terms and definitions

This document uses the terms defined in OGC Policy Directive 49, which is based on the ISO/IEC Directives, Part 2, Rules for the structure and drafting of International Standards. In particular, the word “shall” (not “must”) is the verb form used to indicate a requirement to be strictly followed to conform to this document and OGC documents do not use the equivalent phrases in the ISO/IEC Directives, Part 2.

+

This document also uses terms defined in the OGC Standard for Modular specifications (OGC 08-131r3), also known as the ‘ModSpec’. The definitions of terms such as standard, specification, requirement, and conformance test are provided in the ModSpec.

+

For the purposes of this document, the following additional terms and definitions apply.

+ +4.1.conceptual model +

description of common concepts and their relationships, particularly in order to facilitate exchange of information between parties within a specific domain. A conceptual model is explicitly chosen to be independent of design or implementation concerns.

 + + + [SOURCE: CEN ENV 1613:1995] + +4.2.coordinate reference system +

coordinate system that is related to an object by a datum

 + + + + + + + Note 1 to entry

Geodetic and vertical datums are referred to as reference frames.

+Note 2 to entry

For geodetic and vertical reference frames, the object will be the Earth. In planetary applications, geodetic and vertical reference frames may be applied to other celestial bodies.

+[SOURCE: ISO 19111] + +4.3.coordinate system +

set of mathematical rules for specifying how coordinates are to be assigned to points

 + + + [SOURCE: ISO 19111] + +4.4.datumreference frame + + + +

parameter or set of parameters that realize the position of the origin, the scale, and the orientation of a coordinate system

 + + + [SOURCE: ISO 19111] + +4.5.epoch + + +geodesy

point in time

 + + + + + + + Note 1 to entry

In this document an epoch is expressed in the Gregorian calendar as a decimal year.

+Example

2017-03-25 in the Gregorian calendar is epoch 2017.23.

+[SOURCE: ISO 19111] + +4.6.reference framedatum + + + +

parameter or set of parameters that realize the position of the origin, the scale, and the orientation of a coordinate system

 + + + [SOURCE: ISO 19111] + +4.7.temporal coordinate reference system +

coordinate reference system based on a temporal datum

 + + + [SOURCE: ISO 19111] + +4.8.temporal coordinate system + + +geodesy

one-dimensional coordinate system where the axis is time

 + + + [SOURCE: ISO 19111] + +4.9.temporal datum +

datum describing the relationship of a temporal coordinate system to an object

 + + + + + Note 1 to entry

The object is normally time on the Earth.

+[SOURCE: ISO 19111] + + + +5.<tab/>Conventions + +5.1.<tab/>Abbreviated terms +
CRS

Coordinate Reference System

+
+
TRS

Temporal Reference System

+
+
UML

Unified Modelling Language

+
+
2D

2-dimensional

+
+
3D

3-dimensional

+
+ + +5.2.<tab/>Identifiers +

The normative provisions in this standard are denoted by the URI:

+ +

+ +

All requirements and conformance tests that appear in this document are denoted by partial URIs which are relative to this base.

+ + + + +6.<tab/>Characteristics of an Abstract Conceptual Model +

The terms and definitions clause in this Abstract Specification provides a short definition for “conceptual model”. This clause provides additional information on the OGC use of “conceptual model”.

+ +

A conceptual model organizes the vocabulary needed to communicate consistently and thoroughly about the know-how of a problem domain. The aim of a conceptual model is to express the meaning of terms and concepts used by domain experts to discuss the problem, and to find the correct relationships between different concepts.

+ +

A conceptual model:

+ +

  1. is a representation of a system, made of the composition of concepts which are used to help people know, understand, or simulate a subject the model represents. A documented conceptual model represents ‘concepts’ (entities), the relationships between them, and a vocabulary;

    +
    2. +

  2. is explicitly defined to be independent of design or implementation concerns;

    +
    3. +

  3. organizes the vocabulary needed to communicate consistently and thoroughly about the know-how of a problem domain;

    +
    4. +

  4. starts with a glossary of terms and definitions. There is a very high premium on high-quality, design-independent definitions, free of data or implementation biases; the model also emphasizes rich vocabulary; and

    +
    5. +

  5. is always about identifying the correct choice of terms to use in communications, including statements of rules and requirements, especially where high precision and subtle distinctions need to be made. The core concepts of a temporal geospatial problem domain are typically quite stable over time.

    +
    6. +
+ + + +7.<tab/>Temporal Abstract Conceptual Model +

This attempt at a Temporal Abstract Conceptual Model follows ISO 19111, which is the ISO adoption of OGC_18-005r4.

+ +

The model is also informed by the W3C Time Ontology.NOTE

This Mermaid diagram should be converted to PlantUML for Metanorma, by replacing +the Mermaid container with the following.

+

+ + + +

[plantuml] @startuml . . @enduml

+ +Figure 1classDiagram +class ReferenceSystem { + <<abstract>> + dimension = 1..* + applicableLocationTimeOrDomain + } +class SpatialReferenceSystem { + <<abstract>> + dimension = 1..* + applicableLocationTimeOrDomain + } +class TemporalReferenceSystem { + <<abstract>> + dimension = 1 + applicableLocationTimeOrDomain + } +note for ReferenceSystem "Note: Has at least one of:\nSpatialReferenceSystem, or \nTemporalReferenceSystem" +ReferenceSystem <|-- SpatialReferenceSystem : is a +ReferenceSystem <|-- TemporalReferenceSystem : is a +class OrdinalTemporalReferenceSystem { + dimension = 1 + applicableLocationTimeOrDomain + } +class TemporalCoordinateReferenceSystem { + dimension = 1 + applicableLocationTimeOrDomain + } +class Calendar { + dimension = 1 + applicableLocationTimeOrDomain + } +note for TemporalReferenceSystem "Note: Consists of one only of:\nTemporalCoordinateReferenceSystem,\nCalendar, or \nOrdinalTemporalReferenceSystem" +TemporalReferenceSystem <|-- OrdinalTemporalReferenceSystem : is a +TemporalReferenceSystem <|-- TemporalCoordinateReferenceSystem : is a +TemporalReferenceSystem <|-- Calendar : is a + +OrdinalTemporalReferenceSystem "1" o-- "(ordered)" Events : consists of +OrdinalTemporalReferenceSystem "1" o-- "0..1" Epoch : has an +OrdinalTemporalReferenceSystem "1" --> "1..*" Notation : can use +TemporalCoordinateReferenceSystem "1" o-- "1" Epoch : has an +TemporalCoordinateReferenceSystem "1" --> "1..*" Notation : can use +TemporalCoordinateReferenceSystem "1" o-- "1" Timescale : has a +Calendar "1" o-- "0..1" Epoch : has an +Calendar "1" --> "1..*" Notation : can use +Calendar "1" o-- "1..*" Timescale : has a +Calendar "1" o-- "1..*" Algorithm : has a +class Timescale { + StartCount + EndCount + arithmetic + } +Timescale "1" o-- "1" Clock : has a +Timescale "1" o-- "1" UnitOfMeasure : has a +class Clock { + Tick definition + } +class UnitOfMeasure { + Direction + } + + + + +8.<tab/>Temporal regimes + +8.1.<tab/>General +

To help us think more clearly about time, this paper adopts the term “Regime” to describe the fundamentally different types of time and its measurement under consideration. This is a pragmatic approach that allows the grouping of recommendations and best practices in a practical way, but without obscuring the connection to the underlying theoretical components.

+ +

The first three regimes have deep underlying physical and mathematical foundations which cannot be legislated away. The fourth regime, of calendars, uses a seemingly random mixture of ad hoc algorithms, arithmetic, numerology and measurements. Paradoxically, this regime has historically driven advances in mathematics and physics.

+ +

The regimes are applicable to other planets and outer space, but with due consideration.

+ + + +8.2.<tab/>Events and Operators +

The simplest way of relating entities in time is by events that can be ordered, that is, established in a sequence, and this sequence is used as an approximate measure of the passage of time.

+ +

In this regime, no clocks or time measurements are defined, only events, that are ordered in relation to each other. For example, geological layers, sediment or ice core layers, archaeological sequences, sequential entries in computer logs without coordinated time.

+ +

One set of events may be completely ordered with respect to each other, but another set of similar internally consistent events cannot be cross-referenced until extra information is available. Even then, only partial orderings may be possible.

+ +

In this regime, the Allen Operators can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So in our example, B occurs in the interval (A,C). However, we cannot perform arithmetic operations like (B-A) or (C-A) as we have not defined any timescale or measurements. For example, in geology, ‘subtracting’ Ordovician from Jurassic is meaningless; or in archeology, ‘subtracting’ a layer with a certain type of pottery remains from the layer containing burnt wood and bones is again not meaningful. Only the ordering can be deduced.

+ +

This regime constitutes an Ordinal Temporal Reference System, with discrete enumerated ordered events.

+ + + +8.3.<tab/>Simple Clocks and Discrete Timescales +

In this regime, a clock is defined as any regularly repeating physical phenomena, such as pendulum swings, earth’s rotation about sun, earth’s rotation about its axis, heart beats, vibrations of electrically stimulated quartz crystals or the resonance of the unperturbed ground-state hyperfine transition frequency of the caesium 133 atom. Some phenomena make better clocks that others, in terms of the number of repetitions possible, the consistency of each repetition and the precision of each ‘tick’. A mechanism for counting, or possibly measuring, the ticks is desirable.

+ +

It is an assumption that the ticks are regular and homogeneous.

+ +

There is no sub-division between two successive clock ticks. Measuring time consists of counting the complete number of repetitions of ticks since the clock started, or since some other event at a given clock count.

+ +

There is no time measurement before the clock started, or after it stops.

+ +

It may seem that time can be measured between ‘ticks’ by interpolation, but this needs another clock, with faster ticks. This process of devising more precise clocks continues down to the atomic scale, and then the deterministic process of physically trying to interpolate between ticks is not possible.

+ +

The internationally agreed atomic time, TAI, is an example of a timescale with an integer count as the measure of time, though in practice it is an arithmetic compromise across about two hundred separate atomic clocks, corrected for differing altitudes and temperatures.

+ +

In this regime, the Allen Operators also can be used. If L occurs before M and M occurs before N, then we can correctly deduce that L occurs before N. The full set of operators also covers pairs of intervals. So if M occurs in the interval (L,N), we can now perform integer arithmetic operations like (M-L) or (N-L) as we have defined an integer timescale or measurement.

+ +

This regime constitutes a Temporal Coordinate Reference System, with discrete integer units of measure which can be subject to integer arithmetic.

+ + + +8.4.<tab/>CRS and Continuous Timescales +

This regime takes a clock from the previous regime and assumes that between any two adjacent ticks, it is possible to interpolate indefinitely to finer and finer precision, using ordinary arithmetic, rather than any physical device. Units of Measure may be defrined that are different from the ‘ticks’. For example, a second may be defined as 9,192,631,770 vibrations of the ground-state hyperfine transition of the caesium 133 atom. Alternatively and differently, a second may be defined as 1/86400th of the toataion of the earth on its axis with respect to the sun. The count of rotations are the ‘ticks’ of an earth-day clock. This latter definition is not precise enough for many uses, as the rotaion of the earth on its axis varies from day to day.

+ +

Alternatively, it may be that the ticks are not counted but measured, and the precision of the clock is determined by the precision of the measurements, such as depth in an ice core, or angular position of an astronomical body,such as the sun, moon or a star.

+ +

It is also assumed that time can be extrapolated to before the time when the clock started and into the future, possibly past when the clock stops.

+ +

This gives us a continuous number line to perform theoretical measurements. It is a coordinate system. With a datum/origin/epoch, a unit of measure (a name for the ‘tick marks’ on the axis), positive and negative directions and the full range of normal arithmetic. It is a Coordinate Reference System.

+ +

In this regime, the Allen Operators also can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So if B occurs in the interval (A,C), we can now perform real number arithmetic operations like (B-A) or (C-A) as we have defined a timescale or measurement, and between any two instants, we can always find an infinite number of other instants.

+ +

Some examples are:

+ +

  • Unix milliseconds since 1970-01-01T00:00:00.0Z

    +
    • +

  • Julian Days, and fractions of a day, since noon on 1st January, 4713 BCE.

    +
    • +
+ +

This regime constitutes a Temporal Coordinate Reference System, with a continuous number line and units of measure, which can be subject to the full range of real or floating point arithmetic.

+ + + +8.5.<tab/>Calendars +

In this regime, counts and measures of time are related to the various combinations of the rotations of the earth, moon and sun or other astronomical bodies. There is no simple arithmetic, so for example, the current civil year count of years in the Current Era (CE) and Before Current Era (BCE) is a calendar, albeit a very simple one, as there is no year zero. That is, Year 14CE – Year 12CE is a duration of 2 years, and Year 12BCE — Year 14BCE is also two years. However Year 1CE — Year 1BCE is one year, not two as there is no year 0CE or 0BCE.

+ +

Calendars are social constructs made by combining several clocks and their associated timescales.

+ +

This paper only addresses the internationally agreed Gregorian calendar. Astronomical Algorithms by Jean Meeus provides overwhelming detail for conversion to numerous other calendars that have developed around the world and over the millennia and to meet the various social needs of communities, whether agricultural, religious or other. The reference is comprehensive but not exhaustive, as there are calendars that have been omitted.

+ +

A Calendar is a Temporal Reference System, but it is not a Temporal Coordinate Reference System nor an Ordinal Temporal Reference System.

+ + + +8.6.<tab/>Other Regimes +

There are other regimes, which are out of scope of this document. This could include local solar time, useful, for example, for the calculation of illumination levels and the length of shadows on aerial photography, or relativistic time.

+ + +8.6.1.<tab/>Local Solar Time +

Local solar time may or may not correspond to the local statutory or legal time in a country. Local solar time can be construed as a clock and timescale, with an angular measure of the apparent position of the sun along the ecliptic (path through the sky) as the basic physical principle.

+ + + +8.6.2.<tab/>Space-time +

When dealing with moving objects, we find that the location of the object in space depends on its location in time. That is to say, that the location is an event in space and time.

+ +

Originally developed by Hermann Minkowski to support work in Special Relativity, the concept of Space-time is useful whenever the location of an object in space is dependent on its location in time.

+ +

Since the speed of light in a vacuum is a measurable constant, Space-time uses that constant to create a coordinate axis with spatial units of measure (meters per second * seconds = meters). The result is coordinate reference system with four orthogonal axis all with the same units of measure, distance.

+ + + +8.6.3.<tab/>Relativistic +

A regime may be needed for ‘space-time’, off the planet Earth, such as for recording and predicting space weather approaching from the sun, where the speed of light and relativistic effects such as gravity may be relevant.

+ +

Once off the planet Earth, distances and velocities can become very large. The speed of light becomes a limiting factor in measuring both where and when an event takes place. Special Relativity deals with the accurate measurement of Space-time events as measured between two moving objects. The core concepts are the Lorentz Transforms. These transforms allow one to calculate the degree of “contraction” a measurement undergos due to the relative velocity between the observing and observed object.

+ +

The key to this approach is to ensure each moving feature of interest has its own local clock and time, known as its ‘proper time’. This example can be construed as a fitting into the clock and timescale regime. The relativistic effects are addressed through the relationships between the separate clocks, positions and velocities of the features.

+ +

Relativistic effects may need to be taken into account for satellites and other space craft because of their relative speed and position in Earth’s gravity well.

+ +

The presence of gravitational effects requires special relativity to te replaced by general relativity, and it can no longer be assumed that space (or space-time) is Euclidean. That is, Pythagoras’ Theorem does not hold execept locally over small areas. this is somewhat unfamiliar territory for geospatial experts.

+ + + +8.6.4.<tab/>Accountancy +

The financial and administrative domains often use weeks, quarters, and other calendrical measures. These may be convenient (though often not!) for the requisite tasks, but are usually inappropriate for scientific or technical purposes.

+ + + + + +9.<tab/>Notation +

There are often widely agreed, commonly accepted, notations used for temporal reference systems, but few have been standardised. Any particular notation may be capable of expressing a wider range of times than are valid for the reference system.

+ +Example

The IETF RFC 3339 timestamp notation, a restrictive profile of ISO 8601, can express times before 1588CE, when the Gregorian calendar was first introduced in some parts of the world.

+ + + + +10.<tab/>Attributes of the Regimes/Classes +

The top level Reference System is an abstract super-class and does not have many attributes or properties. So far, only the total dimension of the reference system and the Location, Time or Domain of Applicability have been identified as essential.

+ +

The ‘ReferenceSystem’ has two abstract sub-classes: ‘SpatialReferenceSystem’ , which is defined in ISO 19111, and ‘TemporalReferenceSystem’, each with the attributes of Dimension and Domains of Applicability.

+ +

The Dimension is one for time, or a vertical reference system, but may be as much as 6 for spatial location with orientation.

+ +

Besides the conventional space and time, there may be other reference systems, such as wavelength/frequency, that can be addressed by the Abstract Conceptual Model.

+ + +10.1.<tab/>Attributes of Events and Ordinal Temporal Reference Systems +

  1. An OrdinalTemporal Reference System has a well-ordered finite sequence of events against which other events can b e compared.

    +
    2. +

  2. Name/Id

    +
    3. +

  3. Optional location, time or domain of applicability

    +
    4. +

  4. Optional Epoch, defined in some temporal reference system

    +
    5. +

  5. Listed or enumerated sequence of events with the first and last events

    +
    6. +

  6. Optional notations

    +
    7. +
+ +Example

Ancient annals of a country may give a sequence of emperors which could be used to ‘date’ another event such as “Emperor Xi built a canal”, or may be used to date a particular reign. For example: “In the reign of Emperor Yi, a comet was sighted” and later research identifies this as an appearance of Hailey’s Comet.

+ + +

The events from the list may be instants, such as the change of reign, or intervals, such as the complete reign of each king.

+ +

Other documents may enable two such ‘king lists’ to be related, though not completely.

+ + + +10.2.<tab/>Attributes of simple Clock and Discrete Timescale +

A clock is a regular, repeating, physical event, or ‘tick’, that can be counted. The sequence of tick counts is a timescale. The ticks may be grouped into a Unit of Meaure for convenience. Other events can be compared to the ticks on the timescale.

+ +

  1. Name/Id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Arithmetic: Integer

    +
    5. +

  5. Optional name for each tick

    +
    6. +

  6. Optional Start time or count

    +
    7. +

  7. Optional End time or count

    +
    8. +

  8. Optional Unit of Measure and number of ticks per Unit

    +
    9. +

  9. Optional notations

    +
    10. +
+ +Example 1

A well preserved fossilised log is recovered and the tree rings establish an annual ‘tick’. The start and end times may be known accurately by comparison and matching with other known tree ring sequences, or perhaps only dated imprecisely via Carbon Dating, or its archaeological or geological context.

+ + +Example 2

A clock is started, but undergoes a calibration process against some standards clock, so the initial, reliable Start Time does not start at Count Zero. The clock is accidentially knocked so that it is no longer correctly caliabrated, but is still working. the End Time is not the last time that the clock ticks.

+ + + + +10.3.<tab/>Attributes of Clocks +

  1. Name/Id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Tick definition

    +
    5. +
+ +Example 1

An atomic clock may be calibrated to be valid only for a given temperature range and altitude.

+ + +Example 2

A pendulum clock may have each tick os swing of the pendulum adjusted to be an exace fraction or multiple of a second. The famous London “Big Ben” clock’s pendulum is 4.4m long and ticks every two seconds.

+ + + + +10.4.<tab/>Attributes of Timescales +

  1. Name/Id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Arithmetic, whether counted integers or measured real/floating point numbers

    +
    5. +

  5. Optional Unit of Measure

    +
    6. +
+ +Example 1

TAI (International Atomic Time, Temps Atomique International) is coordinated by the BIPM (International Bureau of Weights and Measures, Bureau International de Poids et Measures) in Paris, France. It is based on the average of hundreds of separate atomic clocks around the world, all corrected to be at mean sea level and standard pressure and temperature. The epoch is defined by Julian Date 2443144.5003725 (1 January 1977 00:00:32.184).

+ + +Example 2

The Julian Day is the continuous count of days (rotations of the Earth with respect to the Sun) since the beginning of the year 4173 BCE and will terminate at the end of the year 3267 CE. The count then starts again as “Period 2”. Many computer based timescales, such as Unix Time, are based on the Julian Day timescale, but with different epochs, to fit the numbers into the limited computer words.

+ + + + +10.5.<tab/>Attributes of Units of Measure +

The Direction attribute indicates whether counts or measures increase in the positive (future) or negative (past) direction. The attribute could be part of ‘Timescale’ of ‘TemporalCoordinateReferenceSystem’ rather than a separate class ‘UnitOfMeasure’, but on balace, it seems better here, as the names often imply directionality, such as fathoms increasing downwards, MYA (Millions of Years Ago) increasing earlier, Atmospheric Pressure in NPs (HectoPascals) decreasing upwards, and FL (FlightLevel) incresing upwards.

+ +

  1. Name/Id/Abbreviation

    +
    2. +

  2. Direction

    +
    3. +
+ +Example

The number of years before the Current Era (BCE, previously known as BC) increase further back in time, whereas the number of years in the Current Era (CE, previously known as AD) increase further into the future. Tis is an example of two timescales, adjacent but with no overlap. If there was a year zero defined, they could be replaced with one continuous timescale.

+ + + + +10.6.<tab/>Attributes of a CRS and Continuous Timescales +

Some clocks allow the measurement or intervals between ticks, such as the movement of the sun across the sky. Alternatively, the ticks may not be completely distinguishable, but are still stable enough over the time of applicability to allow measurements rather than counting to determine the passage of time.

+ +

  1. Name/Id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Arithmetic: Real/Floating point

    +
    5. +

  5. Optional name for the Unit of Measure

    +
    6. +

  6. Optional Start time or measure

    +
    7. +

  7. Optional End time of measure

    +
    8. +

  8. Optional notations

    +
    9. +
+ +Example 1

A long, deep ice core is retrieved from a stable ice-sheet. From long term meteorological observations, the rate of accumulation of ice is known, so linear length can be equated to time (assuming a stable climate too). This enable the dates of some previously unknown large scale volcanic eruptions to be identified and timed. Identifiable nuclear fallout from specific atmospheric atomic bomb tests increase the confidence in the timing accuracy.

+ + +Example 2

A long, deep, sediment core is extracted from the bottom of a lake with a long geological history. Two layers in the core are dated using radiocarbon dating. Assuming steady rates of sediment deposition, a continuous timescale can be interpolated between the dated layers, and extrapolated before and after the dated layers.

+ + + + + +11.<tab/>Attributes of Calendars +

Calendars combine different timescales and their clocks and unito of measure, and other events, to make a complex timeline against which events can be compared. Calculated algorithms are used to determine which instants of intervals on the compound timescale are identified and labeled.

+ +

  1. Name/id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Astronomical Type (e.g. solar, sidereal, lunar, luni-solar)

    +
    5. +

  5. Predictive type (e.g. observed or calculated)

    +
    6. +

  6. Optional Start time

    +
    7. +

  7. Optional End time

    +
    8. +

  8. Constituent units or clocks and counts or timescales

    +
    9. +

  9. Algorithms to link constituent timescales

    +
    10. +

  10. Optional notations

    +
    11. +
+ +Example 1

The modern Gregorian calendar is calculated solar calendar, with various epochs from 1588 CE through to 1922 CE depending on location or country.

+ + +

The constituent timescales are days (earth’s rotations), months (moon’s orbit around the earth), years (earth’s orbit around the sun) and seconds determined by atomic clocks. To accommodate discrepancies, leap days and leap seconds are intercalated in some years. The commonest notations for the Gregorian calendar are ISO 8601 and its various restrictive profiles.

+ +Example 2

The modern Islamic calendar is an observed lunar calendar, and the major religious dates progress throughout the year, year on year. The important months are determined by the observation of new moons from Mecca.

+ + +Example 3

The modern Jewish calendar is a calculated luni-solar calendar, and discrepancies in the solar year are addressed by adding ‘leap months’ every few years.

+ + +Example 4

The Ba’hai calendar is a calculated solar calendar, but without any other astronomical aspects. The year consists of 19 months of 19 days each, with 4 or 5 intercalated days for a new year holiday.

+ + +Example 5

The West African Yoruba traditional calendar is a solar calendar with months, but rather than subdividing a nominal month of 28 days into 4 weeks, 7 weeks of 4 days are used. This perhaps gave rise to the fortnightly (every 8 days) markets in many villages in the grasslands of north-west Cameroun.

+ + +Example 6

Teams controlling remote vehicles on Mars use a solar calendar, with Martian years and martian days (called sols). Months are not used because there are two moons, with different, rather short, orbital periods.

+ + + + +12.<tab/>Synchronisation of clocks +

If there are two or more clocks, stationary with respect to each other, and a practical method of communicating their times to each other, the clocks can be perfectly synchronized.

+ +

However, if the clocks are moving with respect to each other, they cannot be precisely coordinated (unless the communication is instantaneous). As communication speed is limited by the finite constant speed of light, perfect synchronisation is not possible, though repetitive protocols can be used to reduce the synchronization error to any practical desired level.

+ +

See A Brief History of Timekeeping page=”187-191”.

+ + + + + + +<strong>Annex A</strong><br/>(informative)<br/><strong>Glossary</strong> +A.1.compound coordinate reference system +

coordinate reference system using at least two independent coordinate reference systems

 + + + + + Note 1 to entry

Coordinate reference systems are independent of each other if coordinate values in one cannot be converted or transformed into coordinate values in the other.

+[SOURCE: ISO 19111] + +A.2.coordinate +

one of a sequence of numbers designating the position of a point

 + + + + + Note 1 to entry

In a spatial coordinate reference system, the coordinate numbers are qualified by units.

+[SOURCE: ISO 19111] + +A.3.coordinate epoch +

epoch to which coordinates in a dynamic coordinate reference system are referenced

 + + + [SOURCE: ISO 19111] + +A.4.derived coordinate reference system +

coordinate reference system that is defined through the application of a specified coordinate conversion to the coordinates within a previously established coordinate reference system

 + + + + + + + + + Note 1 to entry

The previously established coordinate reference system is referred to as the base coordinate reference system.

+Note 2 to entry

A derived coordinate reference system inherits its datum or reference frame from its base coordinate reference system.

+Note 3 to entry

The coordinate conversion between the base and derived coordinate reference system is implemented using the parameters and formula(s) specified in the definition of the coordinate conversion.

+[SOURCE: ISO 19111] + +A.5.dynamic coordinate reference system +

coordinate reference system that has a dynamic reference frame

 + + + + + + + Note 1 to entry

Coordinates of points on or near the crust of the Earth that are referenced to a dynamic coordinate reference system may change with time, usually due to crustal deformations such as tectonic motion and glacial isostatic adjustment.

+Note 2 to entry

Metadata for a dataset referenced to a dynamic coordinate reference system should include coordinate epoch information.

+[SOURCE: ISO 19111] + +A.6.dynamic reference framedynamic datum + + + +

reference frame in which the defining parameters include time evolution

 + + + + + Note 1 to entry

The defining parameters that have time evolution are usually a coordinate set.

+[SOURCE: ISO 19111] + +A.7.engineering coordinate reference system +

coordinate reference system based on an engineering datum

 + + + + + + + Example 1

System for identifying relative positions within a few kilometres of the reference point, such as a building or construction site.

+Example 2

Coordinate reference system local to a moving object such as a ship or an orbiting spacecraft.

+Example 3

Internal coordinate reference system for an image. This has continuous axes. It may be the foundation for a grid.

+ + +A.8.engineering datumlocal datum + + + +

datum describing the relationship of a coordinate system to a local reference

 + + + + + Note 1 to entry

Engineering datum excludes both geodetic and vertical reference frames.

+[SOURCE: ISO 19111] + +A.9.frame reference epoch +

epoch of coordinates that define a dynamic reference frame

 + + + [SOURCE: ISO 19111] + +A.10.linear coordinate system +

one-dimensional coordinate system in which a linear feature forms the axis

 + + + + + + + Example 1

Distances along a pipeline.

+Example 2

Depths down a deviated oil well bore.

+[SOURCE: ISO 19111] + +A.11.parameter reference epoch +

epoch at which the parameter values of a time-dependent coordinate transformation are valid

 + + + + + Note 1 to entry

The transformation parameter values first need to be propagated to the epoch of the coordinates before the coordinate transformation can be applied.

+[SOURCE: ISO 19111] + +A.12.parametric coordinate reference system +

coordinate reference system based on a parametric datum

 + + + [SOURCE: ISO 19111] + +A.13.parametric coordinate system +

one-dimensional coordinate system where the axis units are parameter values which are not inherently spatial

 + + + [SOURCE: ISO 19111] + +A.14.parametric datum +

datum describing the relationship of a parametric coordinate system to an object

 + + + + + Note 1 to entry

The object is normally the Earth.

+[SOURCE: ISO 19111] + +A.15.point motion operation +

coordinate operation that changes coordinates within one coordinate reference system due to the motion of the point

 + + + + + + + Note 1 to entry

The change of coordinates is from those at an initial epoch to those at another epoch.

+Note 2 to entry

In this document the point motion is due to tectonic motion or crustal deformation.

+[SOURCE: ISO 19111] + +A.16.spatio-parametric coordinate reference system +

compound coordinate reference system in which one constituent coordinate reference system is a spatial coordinate reference system and one is a parametric coordinate reference system

 + + + + + Note 1 to entry

Normally the spatial component is “horizontal” and the parametric component is “vertical”.

+[SOURCE: ISO 19111] + +A.17.spatio-parametric-temporal coordinate reference system +

compound coordinate reference system comprised of spatial, parametric and temporal coordinate reference systems

 + + + [SOURCE: ISO 19111] + +A.18.spatio-temporal coordinate reference system +

compound coordinate reference system in which one constituent coordinate reference system is a spatial coordinate reference system and one is a temporal coordinate reference system

 + + + [SOURCE: ISO 19111] + +A.19.static coordinate reference system +

coordinate reference system that has a static reference frame

 + + + + + + + Note 1 to entry

Coordinates of points on or near the crust of the Earth that are referenced to a static coordinate reference system do not change with time.

+Note 2 to entry

Metadata for a dataset referenced to a static coordinate reference system does not require coordinate epoch information.

+[SOURCE: ISO 19111] + +A.20.static reference frame +

static datum

reference frame in which the defining parameters exclude time evolution

 + + + + + [SOURCE: ISO 19111] + +A.21.terrestrial reference systemTRS + + + +

set of conventions defining the origin, scale, orientation and time evolution of a spatial reference system co-rotating with the Earth in its diurnal motion in space

 + + + + + Note 1 to entry

The abstract concept of a TRS is realised through a terrestrial reference frame that usually consists of a set of physical points with precisely determined coordinates and optionally their rates of change. In this document terrestrial reference frame is included within the geodetic reference frame element of the data model

+[SOURCE: ISO 19111] + + +3.<tab/>Normative references

The following documents are referred to in the text in such a way that some or all of their content constitutes requirements of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.

+ + +IETF: RFC 3339 Date and Time on the Internet: Timestamps. IETF RFC 33393339 +ISO/TC 211: 8601:2004 Data elements and interchange formats — Information interchange — Representation of dates and times, 2004, ISO 860186012004 +ISO/TC 211: ISO 19111:2019, Geographic information – Referencing by coordinates, 2019, ISO 1911119111 +Allen, J. F. Maintaining Knowledge about Temporal IntervalsCommunications of the ACM, 1983, vol. 26 pp. 832-843.Maintaining Knowledge about Temporal Intervals +OGC: 18-005, OGC Abstract Specification Topic 2: Referencing by coordinates Corrigendum, 2021, OGC 18-005r418-005r4 +W3C: Time Ontology in OWL, 2017, W3C REC-owl-time-201710193C REC-owl-time-20171019 + +Bibliography + Jean Meeus. Astronomical Algorithms. + [1]Astronomical Algorithms + + + Bureau International des Poids et Mesures (BIPM). Establishment of International Atomic Time and Coordinated Universal Time. + [2]Establishment of International Atomic Time and Coordinated Universal Time + + + CEN: Env 1613:1995 Medical informatics — Messages for exchange of laboratory information, 1995 + [3]CEN ENV 1613 + 1613 + + 1995 + + + Chad Orzell. A Brief History of Timekeeping. Oneworld Publications. 2022. ISBN-13: 978-0-86154-321-2. + [4]A Brief History of Timekeeping + + + ISO/TC 211: ISO 19108:2002 Geographic information — Temporal schema, 2021, + [5]ISO 19108 + 19108 + + Lorentz Transform. Wolfram MathWorld. + [6]Lorentz Transforms + + + H. Minkowski. Space and Time, Minkowski’s Papers on RelativityMinkowski Institute Press, Montreal 2012. https://minkowskiinstitute.org/ebookstore + [7]Minkowski Space and Time + + + The Open Group. UNIX Time. [last accessed 2023-01] + [8]UN UNIX Time + + + + + + + + + + + + diff --git a/23-049/23-049.xml b/23-049/23-049.xml new file mode 100644 index 00000000..c6773490 --- /dev/null +++ b/23-049/23-049.xml @@ -0,0 +1,1134 @@ + + + +Topic 24 - Abstract Conceptual Model for Time +http://www.opengis.net/doc/AS/temporal-conceptual-model/1.0http://docs.opengeospatial.org/as/23-049/23-049.html23-04923-0492023-08-222023-05-232023-05-23 +U.K. Met Office, HeazelTech + +Chris Little + +Charles Heazel + +Open Geospatial Consortium +1.0en

Traditionally, geospatial communities used 2D coordinates and the vertical and temporal aspects were considered attributes rather than fully fledged coordinate systems. In an increasingly dynamic, speedier and multidimensional world, much confusion and lack of interoperability has occurred because of inconsistent approaches to time. Much effort has been expended by various international bodies to establish the Gregorian Calendar as a consistent timeline. This suffices for low precision, such as to the nearest minute, but not so when second or sub-second accuracy is required. For example, there has been differing practices and no consensus on whether leap seconds should be part of the Gregorian timeline.

+ +

The fundamental concepts of events, clocks, timescales, coordinates and calendars have been long established, but there is no clear, straightforward defining document. This document aims to to give clear consistent definitions of the fundamental concepts and terminology, so that people are well aware of the advantages and disadvantages of adopting a particular technological approach and then perhaps they can contribute to building better and more interoperable systems using other more detailed documents such as logical and implementation standards that have an agreed common conceptual basis and terminology.

+ +

This document is consistent with ISO 19111 and W3C Time Ontology in OWL.

+ +

The aim of this document is to establish clear concepts and terminology.

+swg-draft2023 +Open Geospatial Consortium +ogcdocOGC documentabstract specificationconceptual modeltimetemporal referencingreferencing by coordinatescalendarclocktimescaleabstract-specification-topictechnical + + + + Copyright notice + +

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Further, an OGC Abstract Specification Topic should not be referenced as required or mandatory technology in procurements.

+ + + + + + + + + + + + +Abstract

Traditionally, geospatial communities used 2D coordinates and the vertical and temporal aspects were considered attributes rather than fully fledged coordinate systems. In an increasingly dynamic, speedier and multidimensional world, much confusion and lack of interoperability has occurred because of inconsistent approaches to time. Much effort has been expended by various international bodies to establish the Gregorian Calendar as a consistent timeline. This suffices for low precision, such as to the nearest minute, but not so when second or sub-second accuracy is required. For example, there has been differing practices and no consensus on whether leap seconds should be part of the Gregorian timeline.

+ +

The fundamental concepts of events, clocks, timescales, coordinates and calendars have been long established, but there is no clear, straightforward defining document. This document aims to to give clear consistent definitions of the fundamental concepts and terminology, so that people are well aware of the advantages and disadvantages of adopting a particular technological approach and then perhaps they can contribute to building better and more interoperable systems using other more detailed documents such as logical and implementation standards that have an agreed common conceptual basis and terminology.

+ +

This document is consistent with ISO 19111 and W3C Time Ontology in OWL.

+ +

The aim of this document is to establish clear concepts and terminology.

+ +Preface +

Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. The Open Geospatial Consortium shall not be held responsible for identifying any or all such patent rights.

+ +

Recipients of this document are requested to submit, with their comments, notification of any relevant patent claims or other intellectual property rights of which they may be aware that might be infringed by any implementation of the standard set forth in this document, and to provide supporting documentation.

+ +Introduction +

When OGC standards involve time, they generally refer to the ISO documents such as ISO 19108 (now largely superseded), ISO 19111, ISO 8601, and their freely available OGC equivalents, such as OGC_18-005r4 (the equivalent to ISO 19111).

+ +

Much effort over decades has gone into establishing complex structures to represent calendar based time, such as the ISO 8601 notation, and many date-time schemas. Because of this effort, many people use calendar based “coordinates”, with the attendant ambiguities, imprecision and inappropriate scope.

+ +

The aim of this document is to establish clear concepts and terminology, so that people are well aware of the advantages and disadvantages of adopting a particular technological approach and then perhaps contribute to building better interoperable systems.

+ +Security Considerations +

No security considerations have been made for this document.

+ +Submitters +

All questions regarding this submission should be directed to the editor or the +submitters:

+ + + + + + + + + +
NameAffiliation
Chris Little (editor)U.K. Met Office
Chuck HeazelHeazelTech
+ + + + + + + + +Scope +

This document defines the major underlying concepts regarding time. It does not define any concrete temporal reference systems or give detailed guidance on implementations.

+ + + +Conformance +

Clause 6 of this International Standard uses the Unified Modeling Language (UML) to present +conceptual schemas for describing the higher level classes of time and temporal reference systems. These schemas define conceptual classes that

+ +

a) may be considered to comprise a cross-domain application schema, or

+ +

b) may be used in application schemas, profiles and implementation specifications.

+ +

This flexibility is controlled by a set of UML types that can be implemented in a variety of manners. Use of +alternative names that are more familiar in a particular application is acceptable, provided that there is a one- +to-one mapping to classes and properties in this International Standard. +The UML model in this International Standard defines conceptual classes; various software systems define +implementation classes or data structures. All of these reference the same information content. The same +name may be used in implementations as in the model, so that types defined in the UML model may be used +directly in application schemas.

+ +

Annex A defines a set of conformance tests that will support applications whose requirements range from the +minimum necessary to define data structures to full object implementation.

+ + + + + +Terms and definitions

This document uses the terms defined in OGC Policy Directive 49, which is based on the ISO/IEC Directives, Part 2, Rules for the structure and drafting of International Standards. In particular, the word “shall” (not “must”) is the verb form used to indicate a requirement to be strictly followed to conform to this document and OGC documents do not use the equivalent phrases in the ISO/IEC Directives, Part 2.

+

This document also uses terms defined in the OGC Standard for Modular specifications (OGC 08-131r3), also known as the ‘ModSpec’. The definitions of terms such as standard, specification, requirement, and conformance test are provided in the ModSpec.

+

For the purposes of this document, the following additional terms and definitions apply.

+ + +conceptual model + + +

description of common concepts and their relationships, particularly in order to facilitate exchange of information between parties within a specific domain. A conceptual model is explicitly chosen to be independent of design or implementation concerns.

 + + + CEN ENV 1613:1995 + + + +coordinate reference system + + +

coordinate system that is related to an object by a datum

 + + + + + + +

Geodetic and vertical datums are referred to as reference frames.

+

For geodetic and vertical reference frames, the object will be the Earth. In planetary applications, geodetic and vertical reference frames may be applied to other celestial bodies.

+ISO 19111 + + + +coordinate system + + +

set of mathematical rules for specifying how coordinates are to be assigned to points

 + + + ISO 19111 + + + +datum + + +reference frame + + + + + +

parameter or set of parameters that realize the position of the origin, the scale, and the orientation of a coordinate system

 + + + ISO 19111 + + + +epoch + + + + +geodesy

point in time

 + + + + + + +

In this document an epoch is expressed in the Gregorian calendar as a decimal year.

+

2017-03-25 in the Gregorian calendar is epoch 2017.23.

+ISO 19111 + + + +reference frame + + +datum + + + + + +

parameter or set of parameters that realize the position of the origin, the scale, and the orientation of a coordinate system

 + + + ISO 19111 + + + +temporal coordinate reference system + + +

coordinate reference system based on a temporal datum

 + + + ISO 19111 + + + +temporal coordinate system + + + + +geodesy

one-dimensional coordinate system where the axis is time

 + + + ISO 19111 + + + +temporal datum + + +

datum describing the relationship of a temporal coordinate system to an object

 + + + + +

The object is normally time on the Earth.

+ISO 19111 + + + + +Conventions + +Abbreviated terms +
CRS

Coordinate Reference System

+
+
TRS

Temporal Reference System

+
+
UML

Unified Modelling Language

+
+
2D

2-dimensional

+
+
3D

3-dimensional

+
+ + +Identifiers +

The normative provisions in this standard are denoted by the URI:

+ +

+ +

All requirements and conformance tests that appear in this document are denoted by partial URIs which are relative to this base.

+ + + + +Characteristics of an Abstract Conceptual Model +

The terms and definitions clause in this Abstract Specification provides a short definition for “conceptual model”. This clause provides additional information on the OGC use of “conceptual model”.

+ +

A conceptual model organizes the vocabulary needed to communicate consistently and thoroughly about the know-how of a problem domain. The aim of a conceptual model is to express the meaning of terms and concepts used by domain experts to discuss the problem, and to find the correct relationships between different concepts.

+ +

A conceptual model:

+ +

  1. is a representation of a system, made of the composition of concepts which are used to help people know, understand, or simulate a subject the model represents. A documented conceptual model represents ‘concepts’ (entities), the relationships between them, and a vocabulary;

    +
    2. +

  2. is explicitly defined to be independent of design or implementation concerns;

    +
    3. +

  3. organizes the vocabulary needed to communicate consistently and thoroughly about the know-how of a problem domain;

    +
    4. +

  4. starts with a glossary of terms and definitions. There is a very high premium on high-quality, design-independent definitions, free of data or implementation biases; the model also emphasizes rich vocabulary; and

    +
    5. +

  5. is always about identifying the correct choice of terms to use in communications, including statements of rules and requirements, especially where high precision and subtle distinctions need to be made. The core concepts of a temporal geospatial problem domain are typically quite stable over time.

    +
    6. +
+ + + +Temporal Abstract Conceptual Model +

This attempt at a Temporal Abstract Conceptual Model follows ISO 19111, which is the ISO adoption of OGC_18-005r4.

+ +

The model is also informed by the W3C Time Ontology.

This Mermaid diagram should be converted to PlantUML for Metanorma, by replacing +the Mermaid container with the following.

+

+ + + +

[plantuml] @startuml . . @enduml

+ +classDiagram +class ReferenceSystem { + <<abstract>> + dimension = 1..* + applicableLocationTimeOrDomain + } +class SpatialReferenceSystem { + <<abstract>> + dimension = 1..* + applicableLocationTimeOrDomain + } +class TemporalReferenceSystem { + <<abstract>> + dimension = 1 + applicableLocationTimeOrDomain + } +note for ReferenceSystem "Note: Has at least one of:\nSpatialReferenceSystem, or \nTemporalReferenceSystem" +ReferenceSystem <|-- SpatialReferenceSystem : is a +ReferenceSystem <|-- TemporalReferenceSystem : is a +class OrdinalTemporalReferenceSystem { + dimension = 1 + applicableLocationTimeOrDomain + } +class TemporalCoordinateReferenceSystem { + dimension = 1 + applicableLocationTimeOrDomain + } +class Calendar { + dimension = 1 + applicableLocationTimeOrDomain + } +note for TemporalReferenceSystem "Note: Consists of one only of:\nTemporalCoordinateReferenceSystem,\nCalendar, or \nOrdinalTemporalReferenceSystem" +TemporalReferenceSystem <|-- OrdinalTemporalReferenceSystem : is a +TemporalReferenceSystem <|-- TemporalCoordinateReferenceSystem : is a +TemporalReferenceSystem <|-- Calendar : is a + +OrdinalTemporalReferenceSystem "1" o-- "(ordered)" Events : consists of +OrdinalTemporalReferenceSystem "1" o-- "0..1" Epoch : has an +OrdinalTemporalReferenceSystem "1" --> "1..*" Notation : can use +TemporalCoordinateReferenceSystem "1" o-- "1" Epoch : has an +TemporalCoordinateReferenceSystem "1" --> "1..*" Notation : can use +TemporalCoordinateReferenceSystem "1" o-- "1" Timescale : has a +Calendar "1" o-- "0..1" Epoch : has an +Calendar "1" --> "1..*" Notation : can use +Calendar "1" o-- "1..*" Timescale : has a +Calendar "1" o-- "1..*" Algorithm : has a +class Timescale { + StartCount + EndCount + arithmetic + } +Timescale "1" o-- "1" Clock : has a +Timescale "1" o-- "1" UnitOfMeasure : has a +class Clock { + Tick definition + } +class UnitOfMeasure { + Direction + } + + + + +Temporal regimes + +General +

To help us think more clearly about time, this paper adopts the term “Regime” to describe the fundamentally different types of time and its measurement under consideration. This is a pragmatic approach that allows the grouping of recommendations and best practices in a practical way, but without obscuring the connection to the underlying theoretical components.

+ +

The first three regimes have deep underlying physical and mathematical foundations which cannot be legislated away. The fourth regime, of calendars, uses a seemingly random mixture of ad hoc algorithms, arithmetic, numerology and measurements. Paradoxically, this regime has historically driven advances in mathematics and physics.

+ +

The regimes are applicable to other planets and outer space, but with due consideration.

+ + + +Events and Operators +

The simplest way of relating entities in time is by events that can be ordered, that is, established in a sequence, and this sequence is used as an approximate measure of the passage of time.

+ +

In this regime, no clocks or time measurements are defined, only events, that are ordered in relation to each other. For example, geological layers, sediment or ice core layers, archaeological sequences, sequential entries in computer logs without coordinated time.

+ +

One set of events may be completely ordered with respect to each other, but another set of similar internally consistent events cannot be cross-referenced until extra information is available. Even then, only partial orderings may be possible.

+ +

In this regime, the Allen Operators can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So in our example, B occurs in the interval (A,C). However, we cannot perform arithmetic operations like (B-A) or (C-A) as we have not defined any timescale or measurements. For example, in geology, ‘subtracting’ Ordovician from Jurassic is meaningless; or in archeology, ‘subtracting’ a layer with a certain type of pottery remains from the layer containing burnt wood and bones is again not meaningful. Only the ordering can be deduced.

+ +

This regime constitutes an Ordinal Temporal Reference System, with discrete enumerated ordered events.

+ + + +Simple Clocks and Discrete Timescales +

In this regime, a clock is defined as any regularly repeating physical phenomena, such as pendulum swings, earth’s rotation about sun, earth’s rotation about its axis, heart beats, vibrations of electrically stimulated quartz crystals or the resonance of the unperturbed ground-state hyperfine transition frequency of the caesium 133 atom. Some phenomena make better clocks that others, in terms of the number of repetitions possible, the consistency of each repetition and the precision of each ‘tick’. A mechanism for counting, or possibly measuring, the ticks is desirable.

+ +

It is an assumption that the ticks are regular and homogeneous.

+ +

There is no sub-division between two successive clock ticks. Measuring time consists of counting the complete number of repetitions of ticks since the clock started, or since some other event at a given clock count.

+ +

There is no time measurement before the clock started, or after it stops.

+ +

It may seem that time can be measured between ‘ticks’ by interpolation, but this needs another clock, with faster ticks. This process of devising more precise clocks continues down to the atomic scale, and then the deterministic process of physically trying to interpolate between ticks is not possible.

+ +

The internationally agreed atomic time, TAI, is an example of a timescale with an integer count as the measure of time, though in practice it is an arithmetic compromise across about two hundred separate atomic clocks, corrected for differing altitudes and temperatures.

+ +

In this regime, the Allen Operators also can be used. If L occurs before M and M occurs before N, then we can correctly deduce that L occurs before N. The full set of operators also covers pairs of intervals. So if M occurs in the interval (L,N), we can now perform integer arithmetic operations like (M-L) or (N-L) as we have defined an integer timescale or measurement.

+ +

This regime constitutes a Temporal Coordinate Reference System, with discrete integer units of measure which can be subject to integer arithmetic.

+ + + +CRS and Continuous Timescales +

This regime takes a clock from the previous regime and assumes that between any two adjacent ticks, it is possible to interpolate indefinitely to finer and finer precision, using ordinary arithmetic, rather than any physical device. Units of Measure may be defrined that are different from the ‘ticks’. For example, a second may be defined as 9,192,631,770 vibrations of the ground-state hyperfine transition of the caesium 133 atom. Alternatively and differently, a second may be defined as 1/86400th of the toataion of the earth on its axis with respect to the sun. The count of rotations are the ‘ticks’ of an earth-day clock. This latter definition is not precise enough for many uses, as the rotaion of the earth on its axis varies from day to day.

+ +

Alternatively, it may be that the ticks are not counted but measured, and the precision of the clock is determined by the precision of the measurements, such as depth in an ice core, or angular position of an astronomical body,such as the sun, moon or a star.

+ +

It is also assumed that time can be extrapolated to before the time when the clock started and into the future, possibly past when the clock stops.

+ +

This gives us a continuous number line to perform theoretical measurements. It is a coordinate system. With a datum/origin/epoch, a unit of measure (a name for the ‘tick marks’ on the axis), positive and negative directions and the full range of normal arithmetic. It is a Coordinate Reference System.

+ +

In this regime, the Allen Operators also can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So if B occurs in the interval (A,C), we can now perform real number arithmetic operations like (B-A) or (C-A) as we have defined a timescale or measurement, and between any two instants, we can always find an infinite number of other instants.

+ +

Some examples are:

+ +

  • Unix milliseconds since 1970-01-01T00:00:00.0Z

    +
    • +

  • Julian Days, and fractions of a day, since noon on 1st January, 4713 BCE.

    +
    • +
+ +

This regime constitutes a Temporal Coordinate Reference System, with a continuous number line and units of measure, which can be subject to the full range of real or floating point arithmetic.

+ + + +Calendars +

In this regime, counts and measures of time are related to the various combinations of the rotations of the earth, moon and sun or other astronomical bodies. There is no simple arithmetic, so for example, the current civil year count of years in the Current Era (CE) and Before Current Era (BCE) is a calendar, albeit a very simple one, as there is no year zero. That is, Year 14CE – Year 12CE is a duration of 2 years, and Year 12BCE — Year 14BCE is also two years. However Year 1CE — Year 1BCE is one year, not two as there is no year 0CE or 0BCE.

+ +

Calendars are social constructs made by combining several clocks and their associated timescales.

+ +

This paper only addresses the internationally agreed Gregorian calendar. Astronomical Algorithms by Jean Meeus provides overwhelming detail for conversion to numerous other calendars that have developed around the world and over the millennia and to meet the various social needs of communities, whether agricultural, religious or other. The reference is comprehensive but not exhaustive, as there are calendars that have been omitted.

+ +

A Calendar is a Temporal Reference System, but it is not a Temporal Coordinate Reference System nor an Ordinal Temporal Reference System.

+ + + +Other Regimes +

There are other regimes, which are out of scope of this document. This could include local solar time, useful, for example, for the calculation of illumination levels and the length of shadows on aerial photography, or relativistic time.

+ + +Local Solar Time +

Local solar time may or may not correspond to the local statutory or legal time in a country. Local solar time can be construed as a clock and timescale, with an angular measure of the apparent position of the sun along the ecliptic (path through the sky) as the basic physical principle.

+ + + +Space-time +

When dealing with moving objects, we find that the location of the object in space depends on its location in time. That is to say, that the location is an event in space and time.

+ +

Originally developed by Hermann Minkowski to support work in Special Relativity, the concept of Space-time is useful whenever the location of an object in space is dependent on its location in time.

+ +

Since the speed of light in a vacuum is a measurable constant, Space-time uses that constant to create a coordinate axis with spatial units of measure (meters per second * seconds = meters). The result is coordinate reference system with four orthogonal axis all with the same units of measure, distance.

+ + + +Relativistic +

A regime may be needed for ‘space-time’, off the planet Earth, such as for recording and predicting space weather approaching from the sun, where the speed of light and relativistic effects such as gravity may be relevant.

+ +

Once off the planet Earth, distances and velocities can become very large. The speed of light becomes a limiting factor in measuring both where and when an event takes place. Special Relativity deals with the accurate measurement of Space-time events as measured between two moving objects. The core concepts are the Lorentz Transforms. These transforms allow one to calculate the degree of “contraction” a measurement undergos due to the relative velocity between the observing and observed object.

+ +

The key to this approach is to ensure each moving feature of interest has its own local clock and time, known as its ‘proper time’. This example can be construed as a fitting into the clock and timescale regime. The relativistic effects are addressed through the relationships between the separate clocks, positions and velocities of the features.

+ +

Relativistic effects may need to be taken into account for satellites and other space craft because of their relative speed and position in Earth’s gravity well.

+ +

The presence of gravitational effects requires special relativity to te replaced by general relativity, and it can no longer be assumed that space (or space-time) is Euclidean. That is, Pythagoras’ Theorem does not hold execept locally over small areas. this is somewhat unfamiliar territory for geospatial experts.

+ + + +Accountancy +

The financial and administrative domains often use weeks, quarters, and other calendrical measures. These may be convenient (though often not!) for the requisite tasks, but are usually inappropriate for scientific or technical purposes.

+ + + + + +Notation +

There are often widely agreed, commonly accepted, notations used for temporal reference systems, but few have been standardised. Any particular notation may be capable of expressing a wider range of times than are valid for the reference system.

+ +

The IETF RFC 3339 timestamp notation, a restrictive profile of ISO 8601, can express times before 1588CE, when the Gregorian calendar was first introduced in some parts of the world.

+ + + + +Attributes of the Regimes/Classes +

The top level Reference System is an abstract super-class and does not have many attributes or properties. So far, only the total dimension of the reference system and the Location, Time or Domain of Applicability have been identified as essential.

+ +

The ‘ReferenceSystem’ has two abstract sub-classes: ‘SpatialReferenceSystem’ , which is defined in ISO 19111, and ‘TemporalReferenceSystem’, each with the attributes of Dimension and Domains of Applicability.

+ +

The Dimension is one for time, or a vertical reference system, but may be as much as 6 for spatial location with orientation.

+ +

Besides the conventional space and time, there may be other reference systems, such as wavelength/frequency, that can be addressed by the Abstract Conceptual Model.

+ + +Attributes of Events and Ordinal Temporal Reference Systems +

  1. An OrdinalTemporal Reference System has a well-ordered finite sequence of events against which other events can b e compared.

    +
    2. +

  2. Name/Id

    +
    3. +

  3. Optional location, time or domain of applicability

    +
    4. +

  4. Optional Epoch, defined in some temporal reference system

    +
    5. +

  5. Listed or enumerated sequence of events with the first and last events

    +
    6. +

  6. Optional notations

    +
    7. +
+ +

Ancient annals of a country may give a sequence of emperors which could be used to ‘date’ another event such as “Emperor Xi built a canal”, or may be used to date a particular reign. For example: “In the reign of Emperor Yi, a comet was sighted” and later research identifies this as an appearance of Hailey’s Comet.

+ + +

The events from the list may be instants, such as the change of reign, or intervals, such as the complete reign of each king.

+ +

Other documents may enable two such ‘king lists’ to be related, though not completely.

+ + + +Attributes of simple Clock and Discrete Timescale +

A clock is a regular, repeating, physical event, or ‘tick’, that can be counted. The sequence of tick counts is a timescale. The ticks may be grouped into a Unit of Meaure for convenience. Other events can be compared to the ticks on the timescale.

+ +

  1. Name/Id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Arithmetic: Integer

    +
    5. +

  5. Optional name for each tick

    +
    6. +

  6. Optional Start time or count

    +
    7. +

  7. Optional End time or count

    +
    8. +

  8. Optional Unit of Measure and number of ticks per Unit

    +
    9. +

  9. Optional notations

    +
    10. +
+ +

A well preserved fossilised log is recovered and the tree rings establish an annual ‘tick’. The start and end times may be known accurately by comparison and matching with other known tree ring sequences, or perhaps only dated imprecisely via Carbon Dating, or its archaeological or geological context.

+ + +

A clock is started, but undergoes a calibration process against some standards clock, so the initial, reliable Start Time does not start at Count Zero. The clock is accidentially knocked so that it is no longer correctly caliabrated, but is still working. the End Time is not the last time that the clock ticks.

+ + + + +Attributes of Clocks +

  1. Name/Id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Tick definition

    +
    5. +
+ +

An atomic clock may be calibrated to be valid only for a given temperature range and altitude.

+ + +

A pendulum clock may have each tick os swing of the pendulum adjusted to be an exace fraction or multiple of a second. The famous London “Big Ben” clock’s pendulum is 4.4m long and ticks every two seconds.

+ + + + +Attributes of Timescales +

  1. Name/Id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Arithmetic, whether counted integers or measured real/floating point numbers

    +
    5. +

  5. Optional Unit of Measure

    +
    6. +
+ +

TAI (International Atomic Time, Temps Atomique International) is coordinated by the BIPM (International Bureau of Weights and Measures, Bureau International de Poids et Measures) in Paris, France. It is based on the average of hundreds of separate atomic clocks around the world, all corrected to be at mean sea level and standard pressure and temperature. The epoch is defined by Julian Date 2443144.5003725 (1 January 1977 00:00:32.184).

+ + +

The Julian Day is the continuous count of days (rotations of the Earth with respect to the Sun) since the beginning of the year 4173 BCE and will terminate at the end of the year 3267 CE. The count then starts again as “Period 2”. Many computer based timescales, such as Unix Time, are based on the Julian Day timescale, but with different epochs, to fit the numbers into the limited computer words.

+ + + + +Attributes of Units of Measure +

The Direction attribute indicates whether counts or measures increase in the positive (future) or negative (past) direction. The attribute could be part of ‘Timescale’ of ‘TemporalCoordinateReferenceSystem’ rather than a separate class ‘UnitOfMeasure’, but on balace, it seems better here, as the names often imply directionality, such as fathoms increasing downwards, MYA (Millions of Years Ago) increasing earlier, Atmospheric Pressure in NPs (HectoPascals) decreasing upwards, and FL (FlightLevel) incresing upwards.

+ +

  1. Name/Id/Abbreviation

    +
    2. +

  2. Direction

    +
    3. +
+ +

The number of years before the Current Era (BCE, previously known as BC) increase further back in time, whereas the number of years in the Current Era (CE, previously known as AD) increase further into the future. Tis is an example of two timescales, adjacent but with no overlap. If there was a year zero defined, they could be replaced with one continuous timescale.

+ + + + +Attributes of a CRS and Continuous Timescales +

Some clocks allow the measurement or intervals between ticks, such as the movement of the sun across the sky. Alternatively, the ticks may not be completely distinguishable, but are still stable enough over the time of applicability to allow measurements rather than counting to determine the passage of time.

+ +

  1. Name/Id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Arithmetic: Real/Floating point

    +
    5. +

  5. Optional name for the Unit of Measure

    +
    6. +

  6. Optional Start time or measure

    +
    7. +

  7. Optional End time of measure

    +
    8. +

  8. Optional notations

    +
    9. +
+ +

A long, deep ice core is retrieved from a stable ice-sheet. From long term meteorological observations, the rate of accumulation of ice is known, so linear length can be equated to time (assuming a stable climate too). This enable the dates of some previously unknown large scale volcanic eruptions to be identified and timed. Identifiable nuclear fallout from specific atmospheric atomic bomb tests increase the confidence in the timing accuracy.

+ + +

A long, deep, sediment core is extracted from the bottom of a lake with a long geological history. Two layers in the core are dated using radiocarbon dating. Assuming steady rates of sediment deposition, a continuous timescale can be interpolated between the dated layers, and extrapolated before and after the dated layers.

+ + + + + +Attributes of Calendars +

Calendars combine different timescales and their clocks and unito of measure, and other events, to make a complex timeline against which events can be compared. Calculated algorithms are used to determine which instants of intervals on the compound timescale are identified and labeled.

+ +

  1. Name/id

    +
    2. +

  2. Optional location, time or domain of applicability

    +
    3. +

  3. Optional Epoch, defined in some temporal reference system

    +
    4. +

  4. Astronomical Type (e.g. solar, sidereal, lunar, luni-solar)

    +
    5. +

  5. Predictive type (e.g. observed or calculated)

    +
    6. +

  6. Optional Start time

    +
    7. +

  7. Optional End time

    +
    8. +

  8. Constituent units or clocks and counts or timescales

    +
    9. +

  9. Algorithms to link constituent timescales

    +
    10. +

  10. Optional notations

    +
    11. +
+ +

The modern Gregorian calendar is calculated solar calendar, with various epochs from 1588 CE through to 1922 CE depending on location or country.

+ + +

The constituent timescales are days (earth’s rotations), months (moon’s orbit around the earth), years (earth’s orbit around the sun) and seconds determined by atomic clocks. To accommodate discrepancies, leap days and leap seconds are intercalated in some years. The commonest notations for the Gregorian calendar are ISO 8601 and its various restrictive profiles.

+ +

The modern Islamic calendar is an observed lunar calendar, and the major religious dates progress throughout the year, year on year. The important months are determined by the observation of new moons from Mecca.

+ + +

The modern Jewish calendar is a calculated luni-solar calendar, and discrepancies in the solar year are addressed by adding ‘leap months’ every few years.

+ + +

The Ba’hai calendar is a calculated solar calendar, but without any other astronomical aspects. The year consists of 19 months of 19 days each, with 4 or 5 intercalated days for a new year holiday.

+ + +

The West African Yoruba traditional calendar is a solar calendar with months, but rather than subdividing a nominal month of 28 days into 4 weeks, 7 weeks of 4 days are used. This perhaps gave rise to the fortnightly (every 8 days) markets in many villages in the grasslands of north-west Cameroun.

+ + +

Teams controlling remote vehicles on Mars use a solar calendar, with Martian years and martian days (called sols). Months are not used because there are two moons, with different, rather short, orbital periods.

+ + + + +Synchronisation of clocks +

If there are two or more clocks, stationary with respect to each other, and a practical method of communicating their times to each other, the clocks can be perfectly synchronized.

+ +

However, if the clocks are moving with respect to each other, they cannot be precisely coordinated (unless the communication is instantaneous). As communication speed is limited by the finite constant speed of light, perfect synchronisation is not possible, though repetitive protocols can be used to reduce the synchronization error to any practical desired level.

+ +

See A Brief History of Timekeeping page=”187-191”.

+ + + + + + +Glossary + +compound coordinate reference system + + +

coordinate reference system using at least two independent coordinate reference systems

 + + + + +

Coordinate reference systems are independent of each other if coordinate values in one cannot be converted or transformed into coordinate values in the other.

+ISO 19111 + + + +coordinate + + +

one of a sequence of numbers designating the position of a point

 + + + + +

In a spatial coordinate reference system, the coordinate numbers are qualified by units.

+ISO 19111 + + + +coordinate epoch + + +

epoch to which coordinates in a dynamic coordinate reference system are referenced

 + + + ISO 19111 + + + +derived coordinate reference system + + +

coordinate reference system that is defined through the application of a specified coordinate conversion to the coordinates within a previously established coordinate reference system

 + + + + + + + + +

The previously established coordinate reference system is referred to as the base coordinate reference system.

+

A derived coordinate reference system inherits its datum or reference frame from its base coordinate reference system.

+

The coordinate conversion between the base and derived coordinate reference system is implemented using the parameters and formula(s) specified in the definition of the coordinate conversion.

+ISO 19111 + + + +dynamic coordinate reference system + + +

coordinate reference system that has a dynamic reference frame

 + + + + + + +

Coordinates of points on or near the crust of the Earth that are referenced to a dynamic coordinate reference system may change with time, usually due to crustal deformations such as tectonic motion and glacial isostatic adjustment.

+

Metadata for a dataset referenced to a dynamic coordinate reference system should include coordinate epoch information.

+ISO 19111 + + + +dynamic reference frame + + +dynamic datum + + + + + +

reference frame in which the defining parameters include time evolution

 + + + + +

The defining parameters that have time evolution are usually a coordinate set.

+ISO 19111 + + + +engineering coordinate reference system + + +

coordinate reference system based on an engineering datum

 + + + + + + +

System for identifying relative positions within a few kilometres of the reference point, such as a building or construction site.

+

Coordinate reference system local to a moving object such as a ship or an orbiting spacecraft.

+

Internal coordinate reference system for an image. This has continuous axes. It may be the foundation for a grid.

+ + + +engineering datum + + +local datum + + + + + +

datum describing the relationship of a coordinate system to a local reference

 + + + + +

Engineering datum excludes both geodetic and vertical reference frames.

+ISO 19111 + + + +frame reference epoch + + +

epoch of coordinates that define a dynamic reference frame

 + + + ISO 19111 + + + +linear coordinate system + + +

one-dimensional coordinate system in which a linear feature forms the axis

 + + + + + + +

Distances along a pipeline.

+

Depths down a deviated oil well bore.

+ISO 19111 + + + +parameter reference epoch + + +

epoch at which the parameter values of a time-dependent coordinate transformation are valid

 + + + + +

The transformation parameter values first need to be propagated to the epoch of the coordinates before the coordinate transformation can be applied.

+ISO 19111 + + + +parametric coordinate reference system + + +

coordinate reference system based on a parametric datum

 + + + ISO 19111 + + + +parametric coordinate system + + +

one-dimensional coordinate system where the axis units are parameter values which are not inherently spatial

 + + + ISO 19111 + + + +parametric datum + + +

datum describing the relationship of a parametric coordinate system to an object

 + + + + +

The object is normally the Earth.

+ISO 19111 + + + +point motion operation + + +

coordinate operation that changes coordinates within one coordinate reference system due to the motion of the point

 + + + + + + +

The change of coordinates is from those at an initial epoch to those at another epoch.

+

In this document the point motion is due to tectonic motion or crustal deformation.

+ISO 19111 + + + +spatio-parametric coordinate reference system + + +

compound coordinate reference system in which one constituent coordinate reference system is a spatial coordinate reference system and one is a parametric coordinate reference system

 + + + + +

Normally the spatial component is “horizontal” and the parametric component is “vertical”.

+ISO 19111 + + + +spatio-parametric-temporal coordinate reference system + + +

compound coordinate reference system comprised of spatial, parametric and temporal coordinate reference systems

 + + + ISO 19111 + + + +spatio-temporal coordinate reference system + + +

compound coordinate reference system in which one constituent coordinate reference system is a spatial coordinate reference system and one is a temporal coordinate reference system

 + + + ISO 19111 + + + +static coordinate reference system + + +

coordinate reference system that has a static reference frame

 + + + + + + +

Coordinates of points on or near the crust of the Earth that are referenced to a static coordinate reference system do not change with time.

+

Metadata for a dataset referenced to a static coordinate reference system does not require coordinate epoch information.

+ISO 19111 + + + +static reference frame + + +

static datum

reference frame in which the defining parameters exclude time evolution

 + + + + + ISO 19111 + + + +terrestrial reference system + + +TRS + + + + + +

set of conventions defining the origin, scale, orientation and time evolution of a spatial reference system co-rotating with the Earth in its diurnal motion in space

 + + + + +

The abstract concept of a TRS is realised through a terrestrial reference frame that usually consists of a set of physical points with precisely determined coordinates and optionally their rates of change. In this document terrestrial reference frame is included within the geodetic reference frame element of the data model

+ISO 19111 + + + +Normative references

The following documents are referred to in the text in such a way that some or all of their content constitutes requirements of this document. For dated references, only the edition cited applies. For undated references, the latest edition of the referenced document (including any amendments) applies.

+ + +IETF: RFC 3339 Date and Time on the Internet: Timestamps. IETF RFC 33393339 +ISO/TC 211: 8601:2004 Data elements and interchange formats — Information interchange — Representation of dates and times, 2004, ISO 860186012004 +ISO/TC 211: ISO 19111:2019, Geographic information – Referencing by coordinates, 2019, ISO 1911119111 +Allen, J. F. Maintaining Knowledge about Temporal IntervalsCommunications of the ACM, 1983, vol. 26 pp. 832-843.Maintaining Knowledge about Temporal Intervals +OGC: 18-005, OGC Abstract Specification Topic 2: Referencing by coordinates Corrigendum, 2021, OGC 18-005r418-005r4 +W3C: Time Ontology in OWL, 2017, W3C REC-owl-time-201710193C REC-owl-time-20171019 + +Bibliography + Jean Meeus. Astronomical Algorithms. + Astronomical Algorithms + + + Bureau International des Poids et Mesures (BIPM). Establishment of International Atomic Time and Coordinated Universal Time. + Establishment of International Atomic Time and Coordinated Universal Time + + + CEN: Env 1613:1995 Medical informatics — Messages for exchange of laboratory information, 1995 + CEN ENV 1613 + 1613 + + 1995 + + + Chad Orzell. A Brief History of Timekeeping. Oneworld Publications. 2022. ISBN-13: 978-0-86154-321-2. + A Brief History of Timekeeping + + + ISO/TC 211: ISO 19108:2002 Geographic information — Temporal schema, 2021, + ISO 19108 + 19108 + + Lorentz Transform. Wolfram MathWorld. + Lorentz Transforms + + + H. Minkowski. Space and Time, Minkowski’s Papers on RelativityMinkowski Institute Press, Montreal 2012. https://minkowskiinstitute.org/ebookstore + Minkowski Space and Time + + + The Open Group. UNIX Time. [last accessed 2023-01] + UNIX Time + + + + + + + + + + + + diff --git a/23-049/build.sh b/23-049/build.sh new file mode 100644 index 00000000..2b24f46b --- /dev/null +++ b/23-049/build.sh @@ -0,0 +1 @@ +docker run -v /mnt/c/WorkSpace/GitHub/Temporal-Abstract-Spec/23-049:/metanorma metanorma/mn metanorma compile --agree-to-terms -t ogc -x xml,doc,pdf,html 23-049.adoc diff --git a/23-049/sections/00-preface.adoc b/23-049/sections/00-preface.adoc new file mode 100644 index 00000000..885e355c --- /dev/null +++ b/23-049/sections/00-preface.adoc @@ -0,0 +1,47 @@ + +== Preface + +Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. The Open Geospatial Consortium shall not be held responsible for identifying any or all such patent rights. + +Recipients of this document are requested to submit, with their comments, notification of any relevant patent claims or other intellectual property rights of which they may be aware that might be infringed by any implementation of the standard set forth in this document, and to provide supporting documentation. + +[abstract] +== Abstract + +Traditionally, geospatial communities used 2D coordinates and the vertical and temporal aspects were considered attributes rather than fully fledged coordinate systems. In an increasingly dynamic, speedier and multidimensional world, much confusion and lack of interoperability has occurred because of inconsistent approaches to time. Much effort has been expended by various international bodies to establish the Gregorian Calendar as a consistent timeline. This suffices for low precision, such as to the nearest minute, but not so when second or sub-second accuracy is required. For example, there has been differing practices and no consensus on whether leap seconds should be part of the Gregorian timeline. + +The fundamental concepts of events, clocks, timescales, coordinates and calendars have been long established, but there is no clear, straightforward defining document. This document aims to to give clear consistent definitions of the fundamental concepts and terminology, so that people are well aware of the advantages and disadvantages of adopting a particular technological approach and then perhaps they can contribute to building better and more interoperable systems using other more detailed documents such as logical and implementation standards that have an agreed common conceptual basis and terminology. + +This document is consistent with <> and <> in OWL. + +The aim of this document is to establish clear concepts and terminology. + +[.preface] +== Security Considerations + +No security considerations have been made for this document. + + +[submitters] +== Submitters + +All questions regarding this submission should be directed to the editor or the +submitters: + +[%unnumbered] +|=== +h| Name h| Affiliation + +| Chris Little (editor) | U.K. Met Office +| Chuck Heazel | HeazelTech + +|=== + +[.preface] +== Introduction + +When OGC standards involve time, they generally refer to the ISO documents such as <> (now largely superseded), <>, <>, and their freely available OGC equivalents, such as <> (the equivalent to <>). + +Much effort over decades has gone into establishing complex structures to represent calendar based time, such as the <> notation, and many date-time schemas. Because of this effort, many people use calendar based "coordinates", with the attendant ambiguities, imprecision and inappropriate scope. + +The aim of this document is to establish clear concepts and terminology, so that people are well aware of the advantages and disadvantages of adopting a particular technological approach and then perhaps contribute to building better interoperable systems. diff --git a/abstract-specification/sections/01-scope.adoc b/23-049/sections/01-scope.adoc similarity index 100% rename from abstract-specification/sections/01-scope.adoc rename to 23-049/sections/01-scope.adoc diff --git a/abstract-specification/sections/02-conformance.adoc b/23-049/sections/02-conformance.adoc similarity index 100% rename from abstract-specification/sections/02-conformance.adoc rename to 23-049/sections/02-conformance.adoc diff --git a/23-049/sections/03-references.adoc b/23-049/sections/03-references.adoc new file mode 100644 index 00000000..1a790efd --- /dev/null +++ b/23-049/sections/03-references.adoc @@ -0,0 +1,20 @@ + +[bibliography] +== References + +The following normative documents contain provisions that, through reference in this text, constitute provisions of this document. For dated references, subsequent amendments to, or revisions of, any of these publications do not apply. For undated references, the latest edition of the normative document referred to applies. + +* [[[rfc3339,nofetch(IETF RFC 3339)]]] IETF: RFC 3339 _Date and Time on the Internet: Timestamps_. https://www.rfc-editor.org/rfc/rfc3339[https://www.rfc-editor.org/rfc/rfc3339] + +* [[[iso8601,nofetch(ISO 8601:2004)]]] ISO/TC 211: 8601:2004 _Data elements and interchange formats — Information interchange — Representation of dates and times_, 2004, https://www.iso.org/standard/40874.html[https://www.iso.org/standard/40874.html] + +* [[[iso19111,nofetch(ISO 19111)]]] ISO/TC 211: ISO 19111:2019, _Geographic information – Referencing by coordinates_, 2019, https://www.iso.org/standard/74039.html[https://www.iso.org/standard/74039.html] + +* [[[temporal-knowledge,nofetch(Maintaining Knowledge about Temporal Intervals)]]] +Allen, J. F. +_Maintaining Knowledge about Temporal Intervals_ +Communications of the ACM, 1983, vol. 26 pp. 832-843. + +* [[[ogc18005,nofetch(OGC 18-005r4)]]] OGC: 18-005, _OGC Abstract Specification Topic 2: Referencing by coordinates Corrigendum_, 2021, https://docs.ogc.org/as/18-005r5/18-005r5.html[https://docs.ogc.org/as/18-005r5/18-005r5.html] + +* [[[w3cowltime,nofetch(W3C REC-owl-time-20171019)]]] W3C: Time Ontology in OWL, 2017, https://www.w3.org/TR/2017/REC-owl-time-20171019/[https://www.w3.org/TR/2017/REC-owl-time-20171019/] diff --git a/23-049/sections/04-terms_and_definitions.adoc b/23-049/sections/04-terms_and_definitions.adoc new file mode 100644 index 00000000..186b0a3b --- /dev/null +++ b/23-049/sections/04-terms_and_definitions.adoc @@ -0,0 +1,91 @@ + +== Terms and definitions + +[[conceptual-model_definition]] +=== conceptual model + +description of common concepts and their relationships, particularly in order to facilitate exchange of information between parties within a specific domain. A conceptual model is explicitly chosen to be independent of design or implementation concerns. + +[.source] +<> + +[[coordinate-reference-system_definition]] +=== coordinate reference system + +<> that is related to an object by a <> + +[.source] +<> + +NOTE: Geodetic and vertical datums are referred to as reference frames. + +NOTE: For geodetic and vertical reference frames, the object will be the Earth. In planetary applications, geodetic and vertical reference frames may be applied to other celestial bodies. + +[[coordinate-system_definition]] +=== coordinate system + +set of mathematical rules for specifying how coordinates are to be assigned to points + +[.source] +<> + +[[datum_definition]] +=== datum +admitted:[reference frame] + +parameter or set of parameters that realize the position of the origin, the scale, and the orientation of a <> + +[.source] +<> + +[[epoch_definition]] +=== epoch +domain:[geodesy] + +point in time + +[.source] +<> + +NOTE: In this document an epoch is expressed in the Gregorian calendar as a decimal year. + +[example] +2017-03-25 in the Gregorian calendar is epoch 2017.23. + +[[reference-frame_definition]] +=== reference frame +admitted:[datum] + +parameter or set of parameters that realize the position of the origin, the scale, and the orientation of a <> + +[.source] +<> + +[[temporal-coordinate-refrence-system_definition]] +=== temporal coordinate reference system + +<> based on a <> + +[.source] +<> + +[[temporal-coordinate-system_definition]] +=== temporal coordinate system +domain:[geodesy] + +one-dimensional <> where the axis is time + +[.source] +<> + +[[temporal-datum_definition]] +=== temporal datum + +<> describing the relationship of a <> to an object + +[.source] +<> + +NOTE: The object is normally time on the Earth. + + diff --git a/abstract-specification/sections/05-conventions.adoc b/23-049/sections/05-conventions.adoc similarity index 71% rename from abstract-specification/sections/05-conventions.adoc rename to 23-049/sections/05-conventions.adoc index 0636ec82..16e4dc11 100644 --- a/abstract-specification/sections/05-conventions.adoc +++ b/23-049/sections/05-conventions.adoc @@ -16,7 +16,6 @@ UML:: Unified Modelling Language The normative provisions in this standard are denoted by the URI: -`http://www.opengis.net/spec/{standard}/{m.n}` +`http://www.opengis.net/doc/AS/temporal-conceptual-model/1.0` -All requirements and conformance tests that appear in this document are denoted -by partial URIs which are relative to this base. +All requirements and conformance tests that appear in this document are denoted by partial URIs which are relative to this base. diff --git a/23-049/sections/06-abstract_model.adoc b/23-049/sections/06-abstract_model.adoc new file mode 100644 index 00000000..7c47db87 --- /dev/null +++ b/23-049/sections/06-abstract_model.adoc @@ -0,0 +1,387 @@ + +== Characteristics of an Abstract Conceptual Model + +The terms and definitions clause in this Abstract Specification provides a short definition for "conceptual model". This clause provides additional information on the OGC use of "conceptual model". + +A conceptual model organizes the vocabulary needed to communicate consistently and thoroughly about the know-how of a problem domain. The aim of a conceptual model is to express the meaning of terms and concepts used by domain experts to discuss the problem, and to find the correct relationships between different concepts. + +A conceptual model: + +. is a representation of a system, made of the composition of concepts which are used to help people know, understand, or simulate a subject the model represents. A documented conceptual model represents 'concepts' (entities), the relationships between them, and a vocabulary; + +. is explicitly defined to be independent of design or implementation concerns; + +. organizes the vocabulary needed to communicate consistently and thoroughly about the know-how of a problem domain; + +. starts with a glossary of terms and definitions. There is a very high premium on high-quality, design-independent definitions, free of data or implementation biases; the model also emphasizes rich vocabulary; and + +. is always about identifying the correct choice of terms to use in communications, including statements of rules and requirements, especially where high precision and subtle distinctions need to be made. The core concepts of a temporal geospatial problem domain are typically quite stable over time. + +== Temporal Abstract Conceptual Model + +This attempt at a Temporal Abstract Conceptual Model follows <>, which is the ISO adoption of <>. + +The model is also informed by the <>. + +[NOTE] +==== +This Mermaid diagram should be converted to PlantUML for Metanorma, by replacing +the Mermaid container with the following. +==== + +`[plantuml] +@startuml +. +. +@enduml` + +```mermaid +classDiagram +class ReferenceSystem { + <> + dimension = 1..* + applicableLocationTimeOrDomain + } +class SpatialReferenceSystem { + <> + dimension = 1..* + applicableLocationTimeOrDomain + } +class TemporalReferenceSystem { + <> + dimension = 1 + applicableLocationTimeOrDomain + } +note for ReferenceSystem "Note: Has at least one of:\nSpatialReferenceSystem, or \nTemporalReferenceSystem" +ReferenceSystem <|-- SpatialReferenceSystem : is a +ReferenceSystem <|-- TemporalReferenceSystem : is a +class OrdinalTemporalReferenceSystem { + dimension = 1 + applicableLocationTimeOrDomain + } +class TemporalCoordinateReferenceSystem { + dimension = 1 + applicableLocationTimeOrDomain + } +class Calendar { + dimension = 1 + applicableLocationTimeOrDomain + } +note for TemporalReferenceSystem "Note: Consists of one only of:\nTemporalCoordinateReferenceSystem,\nCalendar, or \nOrdinalTemporalReferenceSystem" +TemporalReferenceSystem <|-- OrdinalTemporalReferenceSystem : is a +TemporalReferenceSystem <|-- TemporalCoordinateReferenceSystem : is a +TemporalReferenceSystem <|-- Calendar : is a + +OrdinalTemporalReferenceSystem "1" o-- "(ordered)" Events : consists of +OrdinalTemporalReferenceSystem "1" o-- "0..1" Epoch : has an +OrdinalTemporalReferenceSystem "1" --> "1..*" Notation : can use +TemporalCoordinateReferenceSystem "1" o-- "1" Epoch : has an +TemporalCoordinateReferenceSystem "1" --> "1..*" Notation : can use +TemporalCoordinateReferenceSystem "1" o-- "1" Timescale : has a +Calendar "1" o-- "0..1" Epoch : has an +Calendar "1" --> "1..*" Notation : can use +Calendar "1" o-- "1..*" Timescale : has a +Calendar "1" o-- "1..*" Algorithm : has a +class Timescale { + StartCount + EndCount + arithmetic + } +Timescale "1" o-- "1" Clock : has a +Timescale "1" o-- "1" UnitOfMeasure : has a +class Clock { + Tick definition + } +class UnitOfMeasure { + Direction + } +``` +== Temporal regimes + +=== General + +To help us think more clearly about time, this paper adopts the term “Regime” to describe the fundamentally different types of time and its measurement under consideration. This is a pragmatic approach that allows the grouping of recommendations and best practices in a practical way, but without obscuring the connection to the underlying theoretical components. + +The first three regimes have deep underlying physical and mathematical foundations which cannot be legislated away. The fourth regime, of calendars, uses a seemingly random mixture of ad hoc algorithms, arithmetic, numerology and measurements. Paradoxically, this regime has historically driven advances in mathematics and physics. + +The regimes are applicable to other planets and outer space, but with due consideration. + +=== Events and Operators + +The simplest way of relating entities in time is by events that can be ordered, that is, established in a sequence, and this sequence is used as an approximate measure of the passage of time. + +In this regime, no clocks or time measurements are defined, only events, that are ordered in relation to each other. For example, geological layers, sediment or ice core layers, archaeological sequences, sequential entries in computer logs without coordinated time. + +One set of events may be completely ordered with respect to each other, but another set of similar internally consistent events cannot be cross-referenced until extra information is available. Even then, only partial orderings may be possible. + +In this regime, the <> can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So in our example, B occurs in the interval (A,C). However, we cannot perform arithmetic operations like (B-A) or (C-A) as we have not defined any timescale or measurements. For example, in geology, 'subtracting' Ordovician from Jurassic is meaningless; or in archeology, 'subtracting' a layer with a certain type of pottery remains from the layer containing burnt wood and bones is again not meaningful. Only the ordering can be deduced. + +This regime constitutes an Ordinal Temporal Reference System, with discrete enumerated ordered events. + +=== Simple Clocks and Discrete Timescales + +In this regime, a clock is defined as any regularly repeating physical phenomena, such as pendulum swings, earth's rotation about sun, earth's rotation about its axis, heart beats, vibrations of electrically stimulated quartz crystals or the resonance of the unperturbed ground-state hyperfine transition frequency of the caesium 133 atom. Some phenomena make better clocks that others, in terms of the number of repetitions possible, the consistency of each repetition and the precision of each 'tick'. A mechanism for counting, or possibly measuring, the ticks is desirable. + +It is an assumption that the ticks are regular and homogeneous. + +There is no sub-division between two successive clock ticks. Measuring time consists of counting the complete number of repetitions of ticks since the clock started, or since some other event at a given clock count. + +There is no time measurement before the clock started, or after it stops. + +It may seem that time can be measured between 'ticks' by interpolation, but this needs another clock, with faster ticks. This process of devising more precise clocks continues down to the atomic scale, and then the deterministic process of physically trying to interpolate between ticks is not possible. + +The internationally agreed atomic time, TAI, is an example of a timescale with an integer count as the measure of time, though in practice it is an arithmetic compromise across about two hundred separate atomic clocks, corrected for differing altitudes and temperatures. + +In this regime, the <> also can be used. If L occurs before M and M occurs before N, then we can correctly deduce that L occurs before N. The full set of operators also covers pairs of intervals. So if M occurs in the interval (L,N), we can now perform integer arithmetic operations like (M-L) or (N-L) as we have defined an integer timescale or measurement. + +This regime constitutes a Temporal Coordinate Reference System, with discrete integer units of measure which can be subject to integer arithmetic. + +=== CRS and Continuous Timescales + +This regime takes a clock from the previous regime and assumes that between any two adjacent ticks, it is possible to interpolate indefinitely to finer and finer precision, using ordinary arithmetic, rather than any physical device. Units of Measure may be defrined that are different from the 'ticks'. For example, a second may be defined as 9,192,631,770 vibrations of the ground-state hyperfine transition of the caesium 133 atom. Alternatively and differently, a second may be defined as 1/86400th of the toataion of the earth on its axis with respect to the sun. The count of rotations are the 'ticks' of an earth-day clock. This latter definition is not precise enough for many uses, as the rotaion of the earth on its axis varies from day to day. + +Alternatively, it may be that the ticks are not counted but measured, and the precision of the clock is determined by the precision of the measurements, such as depth in an ice core, or angular position of an astronomical body,such as the sun, moon or a star. + +It is also assumed that time can be extrapolated to before the time when the clock started and into the future, possibly past when the clock stops. + +This gives us a continuous number line to perform theoretical measurements. It is a coordinate system. With a datum/origin/epoch, a unit of measure (a name for the 'tick marks' on the axis), positive and negative directions and the full range of normal arithmetic. It is a Coordinate Reference System. + +In this regime, the <> also can be used. If A occurs before B and B occurs before C, then we can correctly deduce that A occurs before C. The full set of operators also covers pairs of intervals. So if B occurs in the interval (A,C), we can now perform real number arithmetic operations like (B-A) or (C-A) as we have defined a timescale or measurement, and between any two instants, we can always find an infinite number of other instants. + +Some examples are: + +* Unix milliseconds since 1970-01-01T00:00:00.0Z +* Julian Days, and fractions of a day, since noon on 1st January, 4713 BCE. + +This regime constitutes a Temporal Coordinate Reference System, with a continuous number line and units of measure, which can be subject to the full range of real or floating point arithmetic. + +=== Calendars + +In this regime, counts and measures of time are related to the various combinations of the rotations of the earth, moon and sun or other astronomical bodies. There is no simple arithmetic, so for example, the current civil year count of years in the Current Era (CE) and Before Current Era (BCE) is a calendar, albeit a very simple one, as there is no year zero. That is, Year 14CE – Year 12CE is a duration of 2 years, and Year 12BCE - Year 14BCE is also two years. However Year 1CE - Year 1BCE is one year, not two as there is no year 0CE or 0BCE. + +Calendars are social constructs made by combining several clocks and their associated timescales. + +This paper only addresses the internationally agreed Gregorian calendar. <> by Jean Meeus provides overwhelming detail for conversion to numerous other calendars that have developed around the world and over the millennia and to meet the various social needs of communities, whether agricultural, religious or other. The reference is comprehensive but not exhaustive, as there are calendars that have been omitted. + +A Calendar is a Temporal Reference System, but it is not a Temporal Coordinate Reference System nor an Ordinal Temporal Reference System. + +=== Other Regimes + +There are other regimes, which are out of scope of this document. This could include local solar time, useful, for example, for the calculation of illumination levels and the length of shadows on aerial photography, or relativistic time. + +==== Local Solar Time + +Local solar time may or may not correspond to the local statutory or legal time in a country. Local solar time can be construed as a clock and timescale, with an angular measure of the apparent position of the sun along the ecliptic (path through the sky) as the basic physical principle. + +==== Space-time + +When dealing with moving objects, we find that the location of the object in space depends on its location in time. That is to say, that the location is an event in space and time. + +Originally developed by <> to support work in Special Relativity, the concept of Space-time is useful whenever the location of an object in space is dependent on its location in time. + +Since the speed of light in a vacuum is a measurable constant, Space-time uses that constant to create a coordinate axis with spatial units of measure (meters per second * seconds = meters). The result is coordinate reference system with four orthogonal axis all with the same units of measure, distance. + +==== Relativistic + +A regime may be needed for 'space-time', off the planet Earth, such as for recording and predicting space weather approaching from the sun, where the speed of light and relativistic effects such as gravity may be relevant. + +Once off the planet Earth, distances and velocities can become very large. The speed of light becomes a limiting factor in measuring both where and when an event takes place. Special Relativity deals with the accurate measurement of Space-time events as measured between two moving objects. The core concepts are the <>. These transforms allow one to calculate the degree of "contraction" a measurement undergos due to the relative velocity between the observing and observed object. + +The key to this approach is to ensure each moving feature of interest has its own local clock and time, known as its 'proper time'. This example can be construed as a fitting into the clock and timescale regime. The relativistic effects are addressed through the relationships between the separate clocks, positions and velocities of the features. + +Relativistic effects may need to be taken into account for satellites and other space craft because of their relative speed and position in Earth's gravity well. + +The presence of gravitational effects requires special relativity to te replaced by general relativity, and it can no longer be assumed that space (or space-time) is Euclidean. That is, Pythagoras' Theorem does not hold execept locally over small areas. this is somewhat unfamiliar territory for geospatial experts. + +==== Accountancy + +The financial and administrative domains often use weeks, quarters, and other calendrical measures. These may be convenient (though often not!) for the requisite tasks, but are usually inappropriate for scientific or technical purposes. + +== Notation + +There are often widely agreed, commonly accepted, notations used for temporal reference systems, but few have been standardised. Any particular notation may be capable of expressing a wider range of times than are valid for the reference system. + +[example] +The <> timestamp notation, a restrictive profile of <>, can express times before 1588CE, when the Gregorian calendar was first introduced in some parts of the world. + +== Attributes of the Regimes/Classes + +The top level `Reference System` is an abstract super-class and does not have many attributes or properties. So far, only the total dimension of the reference system and the Location, Time or Domain of Applicability have been identified as essential. + +The 'ReferenceSystem' has two abstract sub-classes: 'SpatialReferenceSystem' , which is defined in <>, and 'TemporalReferenceSystem', each with the attributes of Dimension and Domains of Applicability. + +The Dimension is one for time, or a vertical reference system, but may be as much as 6 for spatial location with orientation. + +Besides the conventional space and time, there may be other reference systems, such as wavelength/frequency, that can be addressed by the Abstract Conceptual Model. + +=== Attributes of Events and Ordinal Temporal Reference Systems + +. An OrdinalTemporal Reference System has a well-ordered finite sequence of events against which other events can b e compared. + +. Name/Id + +. Optional location, time or domain of applicability + +. Optional Epoch, defined in some temporal reference system + +. Listed or enumerated sequence of events with the first and last events + +. Optional notations + +[example] +Ancient annals of a country may give a sequence of emperors which could be used to 'date' another event such as "Emperor Xi built a canal", or may be used to date a particular reign. For example: "In the reign of Emperor Yi, a comet was sighted" and later research identifies this as an appearance of Hailey's Comet. + +The events from the list may be instants, such as the change of reign, or intervals, such as the complete reign of each king. + +Other documents may enable two such 'king lists' to be related, though not completely. + +=== Attributes of simple Clock and Discrete Timescale + +A clock is a regular, repeating, physical event, or 'tick', that can be counted. The sequence of tick counts is a timescale. The ticks may be grouped into a Unit of Meaure for convenience. Other events can be compared to the ticks on the timescale. + +. Name/Id + +. Optional location, time or domain of applicability + +. Optional Epoch, defined in some temporal reference system + +. Arithmetic: Integer + +. Optional name for each tick + +. Optional Start time or count + +. Optional End time or count + +. Optional Unit of Measure and number of ticks per Unit + +. Optional notations + +[example] +A well preserved fossilised log is recovered and the tree rings establish an annual 'tick'. The start and end times may be known accurately by comparison and matching with other known tree ring sequences, or perhaps only dated imprecisely via Carbon Dating, or its archaeological or geological context. + +[example] +A clock is started, but undergoes a calibration process against some standards clock, so the initial, reliable Start Time does not start at Count Zero. The clock is accidentially knocked so that it is no longer correctly caliabrated, but is still working. the End Time is not the last time that the clock ticks. + +=== Attributes of Clocks + +. Name/Id + +. Optional location, time or domain of applicability + +. Optional Epoch, defined in some temporal reference system + +. Tick definition + +[example] +An atomic clock may be calibrated to be valid only for a given temperature range and altitude. + +[example] +A pendulum clock may have each tick os swing of the pendulum adjusted to be an exace fraction or multiple of a second. The famous London "Big Ben" clock's pendulum is 4.4m long and ticks every two seconds. + +=== Attributes of Timescales + +. Name/Id + +. Optional location, time or domain of applicability + +. Optional Epoch, defined in some temporal reference system + +. Arithmetic, whether counted integers or measured real/floating point numbers + +. Optional Unit of Measure + +[example] +TAI (International Atomic Time, Temps Atomique International) is coordinated by the <> (International Bureau of Weights and Measures, Bureau International de Poids et Measures) in Paris, France. It is based on the average of hundreds of separate atomic clocks around the world, all corrected to be at mean sea level and standard pressure and temperature. The epoch is defined by Julian Date 2443144.5003725 (1 January 1977 00:00:32.184). + +[example] +The Julian Day is the continuous count of days (rotations of the Earth with respect to the Sun) since the beginning of the year 4173 BCE and will terminate at the end of the year 3267 CE. The count then starts again as "Period 2". Many computer based timescales, such as <>, are based on the Julian Day timescale, but with different epochs, to fit the numbers into the limited computer words. + +=== Attributes of Units of Measure + +The Direction attribute indicates whether counts or measures increase in the positive (future) or negative (past) direction. The attribute could be part of 'Timescale' of 'TemporalCoordinateReferenceSystem' rather than a separate class 'UnitOfMeasure', but on balace, it seems better here, as the names often imply directionality, such as fathoms increasing downwards, MYA (Millions of Years Ago) increasing earlier, Atmospheric Pressure in NPs (HectoPascals) decreasing upwards, and FL (FlightLevel) increasing upwards. + +. Name/Id/Abbreviation + +. Direction + +[example] +The number of years before the Current Era (BCE, previously known as BC) increase further back in time, whereas the number of years in the Current Era (CE, previously known as AD) increase further into the future. Tis is an example of two timescales, adjacent but with no overlap. If there was a year zero defined, they could be replaced with one continuous timescale. + +=== Attributes of a CRS and Continuous Timescales + +Some clocks allow the measurement or intervals between ticks, such as the movement of the sun across the sky. Alternatively, the ticks may not be completely distinguishable, but are still stable enough over the time of applicability to allow measurements rather than counting to determine the passage of time. + +. Name/Id + +. Optional location, time or domain of applicability + +. Optional Epoch, defined in some temporal reference system + +. Arithmetic: Real/Floating point + +. Optional name for the Unit of Measure + +. Optional Start time or measure + +. Optional End time of measure + +. Optional notations + +[example] +A long, deep ice core is retrieved from a stable ice-sheet. From long term meteorological observations, the rate of accumulation of ice is known, so linear length can be equated to time (assuming a stable climate too). This enable the dates of some previously unknown large scale volcanic eruptions to be identified and timed. Identifiable nuclear fallout from specific atmospheric atomic bomb tests increase the confidence in the timing accuracy. + +[example] +A long, deep, sediment core is extracted from the bottom of a lake with a long geological history. Two layers in the core are dated using radiocarbon dating. Assuming steady rates of sediment deposition, a continuous timescale can be interpolated between the dated layers, and extrapolated before and after the dated layers. + +== Attributes of Calendars + +Calendars combine different timescales and their clocks and unito of measure, and other events, to make a complex timeline against which events can be compared. Calculated algorithms are used to determine which instants of intervals on the compound timescale are identified and labeled. + +. Name/id + +. Optional location, time or domain of applicability + +. Optional Epoch, defined in some temporal reference system + +. Astronomical Type (e.g. solar, sidereal, lunar, luni-solar) + +. Predictive type (e.g. observed or calculated) + +. Optional Start time + +. Optional End time + +. Constituent units or clocks and counts or timescales + +. Algorithms to link constituent timescales + +. Optional notations + +[example] +The modern Gregorian calendar is calculated solar calendar, with various epochs from 1588 CE through to 1922 CE depending on location or country. + +The constituent timescales are days (earth's rotations), months (moon's orbit around the earth), years (earth's orbit around the sun) and seconds determined by atomic clocks. To accommodate discrepancies, leap days and leap seconds are intercalated in some years. The commonest notations for the Gregorian calendar are <> and its various restrictive profiles. + +[example] +The modern Islamic calendar is an observed lunar calendar, and the major religious dates progress throughout the year, year on year. The important months are determined by the observation of new moons from Mecca. + +[example] +The modern Jewish calendar is a calculated luni-solar calendar, and discrepancies in the solar year are addressed by adding 'leap months' every few years. + +[example] +The Ba'hai calendar is a calculated solar calendar, but without any other astronomical aspects. The year consists of 19 months of 19 days each, with 4 or 5 intercalated days for a new year holiday. + +[example] +The West African Yoruba traditional calendar is a solar calendar with months, but rather than subdividing a nominal month of 28 days into 4 weeks, 7 weeks of 4 days are used. This perhaps gave rise to the fortnightly (every 8 days) markets in many villages in the grasslands of north-west Cameroun. + +[example] +Teams controlling remote vehicles on Mars use a solar calendar, with Martian years and martian days (called sols). Months are not used because there are two moons, with different, rather short, orbital periods. + +== Synchronisation of clocks + +If there are two or more clocks, stationary with respect to each other, and a practical method of communicating their times to each other, the clocks can be perfectly synchronized. + +However, if the clocks are moving with respect to each other, they cannot be precisely coordinated (unless the communication is instantaneous). As communication speed is limited by the finite constant speed of light, perfect synchronisation is not possible, though repetitive protocols can be used to reduce the synchronization error to any practical desired level. + +See <> page="187-191". diff --git a/23-049/sections/annex-bibliography.adoc b/23-049/sections/annex-bibliography.adoc new file mode 100644 index 00000000..9d102a1a --- /dev/null +++ b/23-049/sections/annex-bibliography.adoc @@ -0,0 +1,35 @@ + +[bibliography] +== Bibliography + +* [[[astro_algo,nofetch(Astronomical Algorithms)]]], Jean Meeus. _Astronomical Algorithms_. https://www.agopax.it/Libri_astronomia/pdf/Astronomical%20Algorithms.pdf + +* [[[bipm_define,nofetch(Establishment of International Atomic Time and Coordinated Universal Time)]]] +Bureau International des Poids et Mesures (BIPM). +_Establishment of International Atomic Time and Coordinated Universal Time_. +https://www.bipm.org/documents/20126/59466374/6_establishment_TAR20.pdf/5b18b648-0d5a-ee02-643d-a60ed6c148fc + +* [[[cen_env_1613,nofetch(CEN ENV 1613:1995)]]] CEN: Env 1613:1995 _Medical informatics - Messages for exchange of laboratory information_, 1995 + +* [[[history_timekeeping,nofetch(A Brief History of Timekeeping)]]] +Chad Orzell. +_A Brief History of Timekeeping_. +Oneworld Publications. 2022. +ISBN-13: 978-0-86154-321-2. + +* [[[iso19108,nofetch(ISO 19108)]]] ISO/TC 211: ISO 19108:2002 _Geographic information — Temporal schema_, 2021, https://www.iso.org/standard/26013.html[https://www.iso.org/standard/26013.html] + +* [[[lorentz_transform,nofetch(Lorentz Transforms)]]] +_Lorentz Transform_. +Wolfram MathWorld. +https://mathworld.wolfram.com/LorentzTransformation.html[https://mathworld.wolfram.com/LorentzTransformation.html] + +* [[[minkowski,nofetch(Minkowski Space and Time)]]] H. Minkowski. +_Space and Time, Minkowski's Papers on Relativity_ +Minkowski Institute Press, Montreal 2012. +https://minkowskiinstitute.org/ebookstore/book1/[https://minkowskiinstitute.org/ebookstore] + +* [[[unix_time,nofetch(UNIX Time)]]] +The Open Group. +_UNIX Time_. +https://pubs.opengroup.org/onlinepubs/9699919799/basedefs/V1_chap04.html#tag_04_16 [last accessed 2023-01] diff --git a/23-049/sections/annex-glossary.adoc b/23-049/sections/annex-glossary.adoc new file mode 100644 index 00000000..539051d8 --- /dev/null +++ b/23-049/sections/annex-glossary.adoc @@ -0,0 +1,223 @@ +[appendix] +:appendix-caption: Annex +[[glossary]] +== Glossary + +[[compound-coordinate-reference-system_definition]] +=== compound coordinate reference system + +coordinate reference system using at least two independent coordinate reference systems + +[.source] +<> + +NOTE: Coordinate reference systems are independent of each other if coordinate values in one cannot be converted or transformed into coordinate values in the other. + +[[coordinate_definition]] +=== coordinate + +one of a sequence of numbers designating the position of a point + +[.source] +<> + +NOTE: In a spatial coordinate reference system, the coordinate numbers are qualified by units. + +[[coordinate-epoch_definition]] +=== coordinate epoch + +epoch to which coordinates in a dynamic coordinate reference system are referenced + +[.source] +<> + +[[derived-coordinate-reference-system_definition]] +=== derived coordinate reference system + +coordinate reference system that is defined through the application of a specified coordinate conversion to the coordinates within a previously established coordinate reference system + +[.source] +<> + +NOTE: The previously established coordinate reference system is referred to as the base coordinate reference system. + +NOTE: A derived coordinate reference system inherits its datum or reference frame from its base coordinate reference system. + +NOTE: The coordinate conversion between the base and derived coordinate reference system is implemented using the parameters and formula(s) specified in the definition of the coordinate conversion. + +[[dynamic-coordinate-reference-system_definition]] +=== dynamic coordinate reference system + +coordinate reference system that has a dynamic reference frame + +[.source] +<> + +NOTE: Coordinates of points on or near the crust of the Earth that are referenced to a dynamic coordinate reference system may change with time, usually due to crustal deformations such as tectonic motion and glacial isostatic adjustment. + +NOTE: Metadata for a dataset referenced to a dynamic coordinate reference system should include coordinate epoch information. + +[[dynamic-reference-frame_definition]] +=== dynamic reference frame +admitted:[dynamic datum] + +reference frame in which the defining parameters include time evolution + +[.source] +<> + +NOTE: The defining parameters that have time evolution are usually a coordinate set. + +[[enginering-coordinate-reference-system_definition]] +=== engineering coordinate reference system + +coordinate reference system based on an engineering datum + +[example] +System for identifying relative positions within a few kilometres of the reference point, such as a building or construction site. + +[example] +Coordinate reference system local to a moving object such as a ship or an orbiting spacecraft. + +[example] +Internal coordinate reference system for an image. This has continuous axes. It may be the foundation for a grid. + +[[engineering-datum_definition]] +=== engineering datum +admitted:[local datum] + +datum describing the relationship of a coordinate system to a local reference + +[.source] +<> + +NOTE: Engineering datum excludes both geodetic and vertical reference frames. + +[[frame-reference-epoch_definition]] +=== frame reference epoch + +epoch of coordinates that define a dynamic reference frame + +[.source] +<> + +[[linear-coordinate-system_definition]] +=== linear coordinate system + +one-dimensional coordinate system in which a linear feature forms the axis + +[.source] +<> + +[example] +Distances along a pipeline. + +[example] +Depths down a deviated oil well bore. + +[[parameter-reference-epoch_definition]] +=== parameter reference epoch + +epoch at which the parameter values of a time-dependent coordinate transformation are valid + +[.source] +<> + +NOTE: The transformation parameter values first need to be propagated to the epoch of the coordinates before the coordinate transformation can be applied. + +[[parametric-coordinate-reference-system_definition]] +=== parametric coordinate reference system + +coordinate reference system based on a parametric datum + +[.source] +<> + +[[parametric-coordinate-system_definition]] +=== parametric coordinate system + +one-dimensional coordinate system where the axis units are parameter values which are not inherently spatial + +[.source] +<> + +[[parametric-datum_definition]] +=== parametric datum + +datum describing the relationship of a parametric coordinate system to an object + +[.source] +<> + +NOTE: The object is normally the Earth. + +[[point-motion-operation_definition]] +=== point motion operation + +coordinate operation that changes coordinates within one coordinate reference system due to the motion of the point + +[.source] +<> + +NOTE: The change of coordinates is from those at an initial epoch to those at another epoch. + +NOTE: In this document the point motion is due to tectonic motion or crustal deformation. + +[[spatio-parametric-coordinate-reference-system_definition]] +=== spatio-parametric coordinate reference system + +compound coordinate reference system in which one constituent coordinate reference system is a spatial coordinate reference system and one is a parametric coordinate reference system + +[.source] +<> + +NOTE: Normally the spatial component is “horizontal” and the parametric component is “vertical”. + +[[spatio-parametric-temporal-coordinate-reference-system_definition]] +=== spatio-parametric-temporal coordinate reference system + +compound coordinate reference system comprised of spatial, parametric and temporal coordinate reference systems + +[.source] +<> + +[[spatio-temporal-coordinate-reference-system_definition]] +=== spatio-temporal coordinate reference system + +compound coordinate reference system in which one constituent coordinate reference system is a spatial coordinate reference system and one is a temporal coordinate reference system + +[.source] +<> + +[[static-coordinate-reference-system_definition]] +=== static coordinate reference system + +coordinate reference system that has a static reference frame + +[.source] +<> + +NOTE: Coordinates of points on or near the crust of the Earth that are referenced to a static coordinate reference system do not change with time. + +NOTE: Metadata for a dataset referenced to a static coordinate reference system does not require coordinate epoch information. + +[[static-reference-frame_definition]] +=== static reference frame + +static datum + +reference frame in which the defining parameters exclude time evolution + +[.source] +<> + +[[terrestrial-reference-system_definition]] +=== terrestrial reference system +admitted:[TRS] + +set of conventions defining the origin, scale, orientation and time evolution of a spatial reference system co-rotating with the Earth in its diurnal motion in space + +[.source] +<> + +NOTE: The abstract concept of a TRS is realised through a terrestrial reference frame that usually consists of a set of physical points with precisely determined coordinates and optionally their rates of change. 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23-049/sections/images/Transforms.png diff --git a/abstract-specification/sections/images/cenozoic.png b/23-049/sections/images/cenozoic.png similarity index 100% rename from abstract-specification/sections/images/cenozoic.png rename to 23-049/sections/images/cenozoic.png diff --git a/abstract-specification/sections/images/readme.md b/23-049/sections/images/readme.md similarity index 100% rename from abstract-specification/sections/images/readme.md rename to 23-049/sections/images/readme.md diff --git a/abstract-specification/document.adoc b/23-050/23-050.adoc similarity index 64% rename from abstract-specification/document.adoc rename to 23-050/23-050.adoc index 17763747..2b321289 100644 --- a/abstract-specification/document.adoc +++ b/23-050/23-050.adoc @@ -1,21 +1,21 @@ -= Topic nn - Abstract Conceptual Model for Time += OGC Temporal Conceptual Model :doctype: abstract-specification-topic :language: en :status: swg-draft :committee: technical :edition: 1.0 -:docnumber: 23-032 +:docnumber: 23-050 :received-date: 2023-05-23 :issued-date: 2023-05-23 -:published-date: 2023-05-23 -:external-id: http://www.opengis.net/doc/AS/Temporal/1.0 -:referenceURLID: http://docs.opengeospatial.org/as/23-032r1/23-032r1.html +:published-date: 2023-08-22 +:external-id: http://www.opengis.net/doc/AS/temporal-conceptual-model/1.0 +:referenceURLID: http://docs.opengeospatial.org/as/23-050/23-050.html :fullname: Chris Little :fullname_2: Charles Heazel :role: editor :role_2: editor :keywords: ogcdoc, OGC document, abstract specification, conceptual model, time, temporal referencing, referencing by coordinates, calendar, clock, timescale -:submitting-organizations: Met Office, HeazelTech +:submitting-organizations: U.K. Met Office, HeazelTech :mn-document-class: ogc :mn-output-extensions: html,pdf,rxl :local-cache-only: @@ -35,12 +35,18 @@ include::sections/04-terms_and_definitions.adoc[] include::sections/05-conventions.adoc[] // Add clause files as needed -include::sections/06-other-clauses.adoc[] +include::sections/06-abstract_model.adoc[] -include::sections/07-context.adoc[] +// include::sections/07-formal_abstract_model.adoc[] + +// include::sections/08-data_dictionary.adoc[] // Annexes (add annex files as needed) include::sections/aa-annexA.adoc[] +include::sections/annex-glossary.adoc[] + +include::sections/annex-ISO-glossary.adoc[] + // Bibliography should be the last annex include::sections/az-bibliography.adoc[] diff --git a/23-050/UML/ISO 19107.rtf b/23-050/UML/ISO 19107.rtf new file mode 100644 index 00000000..4a1c042d --- /dev/null +++ b/23-050/UML/ISO 19107.rtf @@ -0,0 +1,65 @@ +{\rtf1\ansi\deflang1033\ftnbj\uc1\deff0 +{\fonttbl{\f0 \fswiss Arial;}{\f1 \fswiss \fcharset0 Times New Roman;}{\f2 \froman \fcharset0 Times New Roman;}{\f3 \fnil Lucida Sans;}{\f4 \fnil Calibri;}{\f5 \fnil Liberation Sans Narrow;}{\f6 \fnil Courier New;}} +{\colortbl ;\red255\green255\blue255 ;\red0\green0\blue0 ;\red255\green0\blue0 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ISO_19107}{\*\bkmkstart BKM_39629C0A_CBAA_480C_862B_0B1CDEF2070B}\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ISO 19107 Delimiter\plain\f1\fs20\lang3081\hich\f1\dbch\f1\loch\f1\fs20\par +\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +{\*\bkmkstart BKM_D4C20034_EE1D_472C_92EF_4CA64DFD3B0E}[[GM_Curve-section]]\par +[cols="1a"]\par +|===\par +|*\plain\f1\fs20\lang3081\hich\f1\dbch\f1\loch\f1\fs20 GM_Curve\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 *\par +[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! GM_Curve (Figure 11) is a descendent subtype of GM_Primitive through GM_OrientablePrimitive. It is the basis for 1-dimensional geometry. A curve is a continuous image of an open interval and so could be written as a parameterized function such as c(t):(a, b)\'aeEn where "t" is a real parameter and En is Euclidean space of dimension n (usually 2 or 3, as determined by the coordinate reference system). Any other parameterization that results in the same +image curve, traced in the same direction, such as any linear shifts and positive scales such as e(t) = c(a + t(b-a)):(0,1) \'aeEn, is an equivalent representation of the same curve. For the sake of simplicity, GM_Curves should be parameterized by arc length, so that the parameterization operation inherited from GM_GenericCurve (see 6.4.7) will be valid for parameters between 0 and the length of the curve. \par +Curves are continuous, connected, and have a measurable length in terms of the coordinate system. The orientation of the curve is determined by this parameterization, and is consistent with the tangent function, which approximates the derivative function of the parameterization and shall always point in the "forward" direction. The parameterization of the reversal of the curve defined by c(t):(a, b)\'aeEn would be defined by a function of the form s(t) = c(a + b - t):(a, b)\'aeEn.\par +A curve is composed of one or more curve segments. Each curve segment within a curve may be defined using a different interpolation method. The curve segments are connected to one another, with the end point of each segment except the last being the start point of the next segment in the segment list. \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 type\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_D4C20034_EE1D_472C_92EF_4CA64DFD3B0E}\par +\par +{\*\bkmkstart BKM_ED4839BA_E3A9_4F61_AFCE_2A3DD5C62F68}[[GM_Point-section]]\par +[cols="1a"]\par +|===\par +|*\plain\f1\fs20\lang3081\hich\f1\dbch\f1\loch\f1\fs20 GM_Point\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 *\par +[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! GM_Point (Figure 9) is the basic data type for a geometric object consisting of one and only one point. \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 type\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +{\*\bkmkstart BKM_54659429_7B63_4989_899F_B74F5FD5198A} \par +!\{set:cellbgcolor:#FFFFFF\} position\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> !The attribute "position" shall be the DirectPosition of this GM_Point.\par +GM_Point::position [1] : DirectPosition\par +NOTE In most cases, the state of a GM_Point is fully determined by its position attribute. The only exception to this is if the GM_Point has been subclassed to provide additional non-geometric information such as symbology.{\*\bkmkend BKM_54659429_7B63_4989_899F_B74F5FD5198A}\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_ED4839BA_E3A9_4F61_AFCE_2A3DD5C62F68}{\*\bkmkend ISO_19107}{\*\bkmkend BKM_39629C0A_CBAA_480C_862B_0B1CDEF2070B}\par +\par +\plain\f1\fs20\lang3081\hich\f1\dbch\f1\loch\f1\fs20\par +\plain\f0\fs24\par +} diff --git a/23-050/UML/ISO 19108.rtf b/23-050/UML/ISO 19108.rtf new file mode 100644 index 00000000..8b9294d3 --- /dev/null +++ b/23-050/UML/ISO 19108.rtf @@ -0,0 +1,16 @@ +{\rtf1\ansi\deflang1033\ftnbj\uc1\deff0 +{\fonttbl{\f0 \fswiss Arial;}{\f1 \fswiss \fcharset0 Times New Roman;}{\f2 \fnil Lucida Sans;}{\f3 \fnil Calibri;}{\f4 \fnil Liberation Sans Narrow;}{\f5 \fnil Courier New;}} +{\colortbl ;\red255\green255\blue255 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+\sectd\pgwsxn11902\pghsxn16835\guttersxn0\marglsxn1080\margrsxn1080\margtsxn720\margbsxn720\headery720\footery720\sbkpage\pgncont\pgndec +\plain\plain\f0\fs24\ql{\*\bkmkstart ISO_19111}{\*\bkmkstart BKM_9F6BB2CC_CD11_4BE6_9D08_4B808E071FA4}\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ISO 19111 Delimiter\plain\f1\fs20\lang3081\hich\f1\dbch\f1\loch\f1\fs20\par +\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +{\*\bkmkstart BKM_F5F954C6_2A25_4A62_86F4_6571469BFFFD}[[CRS-section]]\par +[cols="1a"]\par +|===\par +|*CRS* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! coordinate reference system which is usually single but may be compound \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_F5F954C6_2A25_4A62_86F4_6571469BFFFD}\par +\par +{\*\bkmkstart BKM_829D6AA2_2ED2_4EEA_842B_BEDE7F4AE351}[[SingleCRS-section]]\par +[cols="1a"]\par +|===\par +|*SingleCRS* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! coordinate reference system consisting of one coordinate system and either one datum or one datum ensemble \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Constraint: ! count(datum)+count(datumEnsemble)=1 (OCL): \par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_829D6AA2_2ED2_4EEA_842B_BEDE7F4AE351}\par +\par +{\*\bkmkstart BKM_F5672C39_DF2F_4302_A2EC_D852D587218D}[[TemporalCRS-section]]\par +[cols="1a"]\par +|===\par +|*TemporalCRS* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! coordinate reference system associated with a temporal datum and a one-dimensional temporal coordinate system \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_F5672C39_DF2F_4302_A2EC_D852D587218D}\par +\par +{\*\bkmkstart BKM_E0DDD2D2_33C5_42A7_9D6C_6DA46C75959F}[[CoordinateSystem-section]]\par +[cols="1a"]\par +|===\par +|*CoordinateSystem* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! non-repeating sequence of coordinate system axes that spans a given coordinate space\par +Note: A coordinate system is derived from a set of mathematical rules for specifying how coordinates in a given space are to be assigned to points. The coordinate values in a coordinate tuple shall be recorded in the order in which the coordinate system axes associations are recorded. \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Constraint: ! axis->forAll(count(axisUnitID)=1) (Invariant): axis.axisUnitID is mandatory for all axis \par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} referenceSystem\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [0..*] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_E0DDD2D2_33C5_42A7_9D6C_6DA46C75959F}\par +\par +{\*\bkmkstart BKM_52C2B76A_94CC_4A82_8D35_B1C5B40C8398}[[Datum-section]]\par +[cols="1a"]\par +|===\par +|*Datum* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! specification of the relationship of a coordinate system to an object, thus creating a coordinate reference system\par +Note: For geodetic and vertical coordinate reference systems, it relates a coordinate system to the Earth. With other types of coordinate reference systems, the datum may relate the coordinate system to another physical or virtual object. A datum uses a parameter or set of parameters that determine the location of the origin of the coordinate reference system. Each datum subtype can be associated with only specific types of coordinate reference systems. \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} referenceSystem\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [0..*] !\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +{\*\bkmkstart BKM_79FB8513_1114_450E_B2A5_3987154326C0} \par +!\{set:cellbgcolor:#FFFFFF\} anchorDefinition\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> [0..1] !description, possibly including coordinates of an identified point or points, of the relationship used to anchor a coordinate system to the Earth or alternate object \par +Note: For modern geodetic reference frames the anchor may be a set of station coordinates; if the reference frame is dynamic it will also include coordinate velocities. For a traditional geodetic datum, the anchor may be a point known as the fundamental point, which is traditionally the point where the relationship between geoid and ellipsoid is defined, together with a direction from that point.\par +- For a vertical reference frame the anchor may be the zero level at one or more defined locations or a conventionally defined surface. \par +- For an engineering datum, the anchor may be an identified physical point with the orientation defined relative to the object.{\*\bkmkend BKM_79FB8513_1114_450E_B2A5_3987154326C0}\par +{\*\bkmkstart BKM_7404E856_530F_4ABF_B061_31DE445E021C} \par +!\{set:cellbgcolor:#FFFFFF\} conventionalRS\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> [0..1] !name, identifier, alias and remarks for the terrestrial reference system or vertical reference system realized by this reference frame\par +Examples: "ITRS" for ITRF88 through ITRF2008 and ITRF2014, or "EVRS" for EVRF2000 and EVRF2007.{\*\bkmkend BKM_7404E856_530F_4ABF_B061_31DE445E021C}\par +{\*\bkmkstart BKM_71B68391_6E1C_4D87_8DC6_618897750730} \par +!\{set:cellbgcolor:#FFFFFF\} publicationDate\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> [0..1] !date on which the datum definition was published{\*\bkmkend BKM_71B68391_6E1C_4D87_8DC6_618897750730}\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_52C2B76A_94CC_4A82_8D35_B1C5B40C8398}\par +\par +{\*\bkmkstart BKM_64BF7477_BEF0_4825_9D0E_0323A8243AE6}[[DateTimeTemporalCS-section]]\par +[cols="1a"]\par +|===\par +|*DateTimeTemporalCS* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! one-dimensional coordinate system used to record time in dateTime representation as defined in ISO 8601.\par +Note: A DateTimeTemporalCS shall have one axis association. It does not use axisUnitID; the temporal quantities are defined through the ISO 8601 representation. \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Constraint: ! coordinateType=dateTime (Invariant): \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Constraint: ! axis->forAll(count(axisUnitID)=0) (Invariant): axis.axisUnitID shall not be used \par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_64BF7477_BEF0_4825_9D0E_0323A8243AE6}\par +\par +{\*\bkmkstart BKM_32E7B295_4683_4294_82C8_65624FB7B404}[[TemporalCountCS-section]]\par +[cols="1a"]\par +|===\par +|*TemporalCountCS* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! one-dimensional coordinate system used to record time as an integer count\par +Note: A TemporalCountCS shall have one axis association. \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Constraint: ! coordinateType=integer (Invariant): \par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_32E7B295_4683_4294_82C8_65624FB7B404}\par +\par +{\*\bkmkstart BKM_66866D02_9F8E_4B7D_81C7_5B9962DCB43D}[[TemporalCS-section]]\par +[cols="1a"]\par +|===\par +|*TemporalCS* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! one-dimensional coordinate system used to record time \par +Note: A TemporalCS shall have one axis association. \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Constraint: ! axis->size()=1 (Invariant): a Temporal CS shall have exactly one axis \par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} referenceSystem\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [0..*] !\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +{\*\bkmkstart BKM_EB422484_6144_40E4_A2EE_61BA1B43B12C} \par +!\{set:cellbgcolor:#FFFFFF\} coordinateType\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> !datatype of coordinate values{\*\bkmkend BKM_EB422484_6144_40E4_A2EE_61BA1B43B12C}\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_66866D02_9F8E_4B7D_81C7_5B9962DCB43D}\par +\par +{\*\bkmkstart BKM_B052B55C_8074_40F2_B95B_EF918C25D13F}[[TemporalMeasureCS-section]]\par +[cols="1a"]\par +|===\par +|*TemporalMeasureCS* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! one-dimensional coordinate system used to record a time as a real number\par +Note: A TemporalMeasureCS shall have one axis association. \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Constraint: ! coordinateType=real (Invariant): \par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_B052B55C_8074_40F2_B95B_EF918C25D13F}{\*\bkmkend ISO_19111}{\*\bkmkend BKM_9F6BB2CC_CD11_4BE6_9D08_4B808E071FA4}\par +\par +\plain\f1\fs20\lang3081\hich\f1\dbch\f1\loch\f1\fs20\par +\plain\f0\fs24\par +} diff --git a/23-050/UML/Ontology.rtf b/23-050/UML/Ontology.rtf new file mode 100644 index 00000000..b5129e1f --- /dev/null +++ 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Properties;}{\s34\snext0\f1\fs20 Notes;}{\s35\snext0\f1\qc Diagram Image;}{\s36\snext0\f1\fs16\qc Diagram Label;}{\s37\snext0\f1\fs16 Table Label;}{\s38\snext0\f1\fs18\b\fi0\li90\ri90\sb80\sa40\sl0 Table Heading;}{\s39\snext0\f1\fs22\b\fi0\li270\ri270\sb0\sa0\sl0 Table Title 0;}{\s40\snext0\f1\fs18\b\ul\fi0\li180\ri270\sb80\sa80\sl0 Table Title 1;}{\s41\snext0\f1\fs18\ul\fi0\li270\ri270\sb0\sa120\sl0 Table Title 2;}{\s42\snext0\f1\fs18\fi0\li270\ri270\sb20\sa20\sl0 Table Text Normal;}{\s43\snext0\f1\fs18\cf12\fi0\li270\ri270\sb20\sa20\sl0 Table Text Light +;}{\s44\snext0\f1\fs18\b\fi0\li270\ri270\sb20\sa20\sl0 Table Text Bold;}{\s45\snext0\f5\fs20\b\cf13\fi0\li0\ri0\sb0\sa0\sl0\qr Cover Text 3;}{\s46\snext0\f5\fs20\b\i\cf10\fi0\li0\ri0\sb0\sa80\sl0 Title Small;}{\s47\snext0\f7\fs16\fi0\li90\ri90\sb0\sa0\sl0 Table Text Code;}{\cs48\f7 Code;}{\s49\snext0\f1\fs20 Items;}{\s50\snext0\f1\fs18\b\cf14\fi0\li90\ri90\sb80\sa40\sl0 Table Heading Light;}{\cs51\f1\cf15 Table Field Label;}{\cs52\caps All Caps;}} +{\*\revtbl{Unknown;}} +\paperw12240\paperh15840\margl1080\margr1080\margt720\margb720\headery720\footery720\nogrowautofit\deftab720\formshade\nofeaturethrottle1\dntblnsbdb\fet4\aendnotes\aftnnrlc\pgbrdrhead\pgbrdrfoot +\sectd\pgwsxn11902\pghsxn16835\guttersxn0\marglsxn1080\margrsxn1080\margtsxn720\margbsxn720\headery720\footery720\sbkpage\pgncont\pgndec +\plain\plain\f0\fs24\ql{\*\bkmkstart REFERENCESYSTEMS}{\*\bkmkstart BKM_5943A645_B450_4BD8_BFEC_2DC3F6710BBD}\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ReferenceSystems Delimiter\plain\f1\fs20\lang3081\hich\f1\dbch\f1\loch\f1\fs20\par +\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +{\*\bkmkstart BKM_BF54C402_5AD4_4A68_B924_3B52ACD66E08}[[Algorithm-section]]\par +[cols="1a"]\par +|===\par +|*Algorithm* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_BF54C402_5AD4_4A68_B924_3B52ACD66E08}\par +\par +{\*\bkmkstart BKM_0512D351_675E_4565_85CA_D44EAC838EF0}[[Calendar-section]]\par +[cols="1a"]\par +|===\par +|*Calendar* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [1..*] !\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [1..*] !\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_0512D351_675E_4565_85CA_D44EAC838EF0}\par +\par +{\*\bkmkstart BKM_1E702812_52E1_4F06_A412_2C46DA0ABF39}[[Calendar Day-section]]\par +[cols="1a"]\par +|===\par +|*Calendar Day* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_1E702812_52E1_4F06_A412_2C46DA0ABF39}\par +\par +{\*\bkmkstart BKM_5FA99462_A749_4385_B397_5D5327364667}[[Calendar Era-section]]\par +[cols="1a"]\par +|===\par +|*Calendar Era* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! Calendar Era: division of a \plain\f3\fs20\lang1033\hich\f3\dbch\f3\loch\f3\cf2\fs20\b calendar \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 composed of a sequence of \plain\f3\fs20\lang1033\hich\f3\dbch\f3\loch\f3\cf2\fs20\b periods \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 of one type counted from a specified date (ISO 19108) \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_5FA99462_A749_4385_B397_5D5327364667}\par +\par +{\*\bkmkstart BKM_16915ED3_4009_43B5_8E50_6D31849C2768}[[Calendar Month-section]]\par +[cols="1a"]\par +|===\par +|*Calendar Month* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! A month corresponds nominally to the period of a lunar cycle \plain\f3\fs20\lang1033\hich\f3\dbch\f3\loch\f3\cf2\fs20\u8211 \'96\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 either the cycle of the phases of the moon, or that of the moon\plain\f3\fs20\lang1033\hich\f3\dbch\f3\loch\f3\cf2\fs20\u8217 \'92\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 s revolution around the Earth. (ISO 19108) \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [1..*] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_16915ED3_4009_43B5_8E50_6D31849C2768}\par +\par +{\*\bkmkstart BKM_24886C66_5D6F_4949_9D6B_DCE8F9831E7D}[[Calendar Year-section]]\par +[cols="1a"]\par +|===\par +|*Calendar Year* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \plain\f3\fs20\lang1033\hich\f3\dbch\f3\loch\f3\cf2\fs20\b calendar year: period \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 approximately equal in \plain\f3\fs20\lang1033\hich\f3\dbch\f3\loch\f3\cf2\fs20\b duration \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 to the \plain\f3\fs20\lang1033\hich\f3\dbch\f3\loch\f3\cf2\fs20\b periodic time \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 of the revolution of the Earth +around the sun (ISO 19108) \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} reference\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [1..*] !\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [1..*] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_24886C66_5D6F_4949_9D6B_DCE8F9831E7D}\par +\par +{\*\bkmkstart BKM_8F02D2E7_DCE8_48A4_9E01_2C16D069FA86}[[Clock-section]]\par +[cols="1a"]\par +|===\par +|*Clock* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_8F02D2E7_DCE8_48A4_9E01_2C16D069FA86}\par +\par +{\*\bkmkstart BKM_9C2D58B9_32A6_4AC6_8812_B194A2FABB29}[[Epoch-section]]\par +[cols="1a"]\par +|===\par +|*Epoch* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!\{set:cellbgcolor:#FFFFFF\} definition\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_9C2D58B9_32A6_4AC6_8812_B194A2FABB29}\par +\par +{\*\bkmkstart BKM_66AF6F39_FD9B_4460_B710_91F578B8F36A}[[ReferenceSystem-section]]\par +[cols="1a"]\par +|===\par +|*ReferenceSystem* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +{\*\bkmkstart BKM_7BDD590E_B4D4_4261_9C06_B204CD502920} \par +!\{set:cellbgcolor:#FFFFFF\} applicableLocationTimeOrDomain\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<<-section,>> !{\*\bkmkend BKM_7BDD590E_B4D4_4261_9C06_B204CD502920}\par +{\*\bkmkstart BKM_C15033D4_EFED_45C9_88BF_2406071D17F1} \par +!\{set:cellbgcolor:#FFFFFF\} authoritativeOwnerOrDefiningBody\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> !{\*\bkmkend BKM_C15033D4_EFED_45C9_88BF_2406071D17F1}\par +{\*\bkmkstart BKM_03A8AE03_D858_41FD_B816_85C78401F259} \par +!\{set:cellbgcolor:#FFFFFF\} dimension\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> [1..*] !{\*\bkmkend BKM_03A8AE03_D858_41FD_B816_85C78401F259}\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_66AF6F39_FD9B_4460_B710_91F578B8F36A}\par +\par +{\*\bkmkstart BKM_E75B66D0_53C3_450D_B90C_4B4C6221FDA9}[[SpatialReferenceSystem-section]]\par +[cols="1a"]\par +|===\par +|*SpatialReferenceSystem* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +{\*\bkmkstart BKM_90AF322F_16CA_4A26_8E83_00D924363B8C} \par +!\{set:cellbgcolor:#FFFFFF\} dimension\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> [1..3] !{\*\bkmkend BKM_90AF322F_16CA_4A26_8E83_00D924363B8C}\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_E75B66D0_53C3_450D_B90C_4B4C6221FDA9}\par +\par +{\*\bkmkstart BKM_9BB1CE9C_558D_43A3_B476_94E8F96B397E}[[SpatialTemporalReferenceSystem-section]]\par +[cols="1a"]\par +|===\par +|*SpatialTemporalReferenceSystem* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_9BB1CE9C_558D_43A3_B476_94E8F96B397E}\par +\par +{\*\bkmkstart BKM_B51E8FC4_7883_4A7C_AB96_1818523C3812}[[TemporalCoordinateReferenceSystem-section]]\par +[cols="1a"]\par +|===\par +|*TemporalCoordinateReferenceSystem* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} definition\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +{\*\bkmkstart BKM_6489D928_8764_4C8B_9D5B_5A44C28FE400} \par +!\{set:cellbgcolor:#FFFFFF\} uom\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> !{\*\bkmkend BKM_6489D928_8764_4C8B_9D5B_5A44C28FE400}\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_B51E8FC4_7883_4A7C_AB96_1818523C3812}\par +\par +{\*\bkmkstart BKM_A2197CB1_71AB_4571_9962_B261CAE61C57}[[TemporalOrdinalReferenceSystem-section]]\par +[cols="1a"]\par +|===\par +|*TemporalOrdinalReferenceSystem* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!\{set:cellbgcolor:#FFFFFF\} definition\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +{\*\bkmkstart BKM_C314ACF2_ACCB_4644_8DB7_1D7030F9E91D} \par +!\{set:cellbgcolor:#FFFFFF\} applicableLocationOrRegion\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> [0..1] !{\*\bkmkend BKM_C314ACF2_ACCB_4644_8DB7_1D7030F9E91D}\par +{\*\bkmkstart BKM_BE7C3A76_394E_4162_969A_FBD57326EB89} \par +!\{set:cellbgcolor:#FFFFFF\} events\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> [1..n] !{\*\bkmkend BKM_BE7C3A76_394E_4162_969A_FBD57326EB89}\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_A2197CB1_71AB_4571_9962_B261CAE61C57}\par +\par +{\*\bkmkstart BKM_DCA3F5DD_F1E4_4950_8FD7_62028BE8CFE7}[[TemporalReferenceSystem-section]]\par +[cols="1a"]\par +|===\par +|*TemporalReferenceSystem* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} definition\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +{\*\bkmkstart BKM_C4FD7151_20C4_4C83_A47A_6DCEF11CC175} \par +!\{set:cellbgcolor:#FFFFFF\} dimension\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> !{\*\bkmkend BKM_C4FD7151_20C4_4C83_A47A_6DCEF11CC175}\par +{\*\bkmkstart BKM_F7037AA3_CA09_49CF_919A_8BFA446484F5} \par +!\{set:cellbgcolor:#FFFFFF\} epoch\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> [0..1] !{\*\bkmkend BKM_F7037AA3_CA09_49CF_919A_8BFA446484F5}\par +{\*\bkmkstart BKM_CD4209F1_C21E_4541_B6E5_FD6761A4B718} \par +!\{set:cellbgcolor:#FFFFFF\} nameOrId\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> !{\*\bkmkend BKM_CD4209F1_C21E_4541_B6E5_FD6761A4B718}\par +{\*\bkmkstart BKM_E2CD503C_FD28_4108_9AE0_A23C8BA7CEDF} \par +!\{set:cellbgcolor:#FFFFFF\} notations\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<<-section,>> [0..n] !{\*\bkmkend BKM_E2CD503C_FD28_4108_9AE0_A23C8BA7CEDF}\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_DCA3F5DD_F1E4_4950_8FD7_62028BE8CFE7}\par +\par +{\*\bkmkstart BKM_7E79BC1A_E1AA_4511_ADB3_9F1AB29D1D24}[[TimeScale-section]]\par +[cols="1a"]\par +|===\par +|*TimeScale* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_7E79BC1A_E1AA_4511_ADB3_9F1AB29D1D24}{\*\bkmkend REFERENCESYSTEMS}{\*\bkmkend BKM_5943A645_B450_4BD8_BFEC_2DC3F6710BBD}\par +\par +\plain\f1\fs20\lang3081\hich\f1\dbch\f1\loch\f1\fs20\par +\plain\f0\fs24\par +} diff --git a/23-050/UML/Temporal Objects.rtf b/23-050/UML/Temporal Objects.rtf new file mode 100644 index 00000000..a3c23cd7 --- /dev/null +++ b/23-050/UML/Temporal Objects.rtf @@ -0,0 +1,276 @@ +{\rtf1\ansi\deflang1033\ftnbj\uc1\deff0 +{\fonttbl{\f0 \fswiss Arial;}{\f1 \fswiss \fcharset0 Times New Roman;}{\f2 \froman \fcharset0 Times New Roman;}{\f3 \fnil \fcharset0 Times New Roman;}{\f4 \fnil Lucida Sans;}{\f5 \fnil Calibri;}{\f6 \fnil Liberation Sans 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2;}{\s24\snext0\f1\fs20\tqr\tldot\tx8280\fi0\li360\ri720\sb40\sa20\sl0 TOC 3;}{\s25\snext0\f1\fs20\tqr\tldot\tx8280\fi0\li540\ri720\sb40\sa20\sl0 TOC 4;}{\s26\snext0\f1\fs20\tqr\tldot\tx8280\fi0\li720\ri720\sb40\sa20\sl0 TOC 5;}{\s27\snext0\f1\fs20\tqr\tldot\tx8280\fi0\li900\ri720\sb40\sa20\sl0 TOC 6;}{\s28\snext0\f1\fs20\tqr\tldot\tx8280\fi0\li1080\ri720\sb40\sa20\sl0 TOC 7;}{\s29\snext0\f1\fs20\tqr\tldot\tx8280\fi0\li1260\ri720\sb40\sa20\sl0 TOC 8;}{\s30\snext0\f1\fs20\tqr\tldot\tx8280\fi0\li1440\ri720\sb40\sa20\sl0 TOC 9 +;}{\s31\snext0\f1\fs16\tqr\tx9720 Header;}{\s32\snext0\f1\fs16\qc Footer;}{\s33\snext0\f1\fs20\cf11\fi0\li0\ri0\sb0\sa0\sl0\qr Properties;}{\s34\snext0\f1\fs20 Notes;}{\s35\snext0\f1\qc Diagram Image;}{\s36\snext0\f1\fs16\qc Diagram Label;}{\s37\snext0\f1\fs16 Table Label;}{\s38\snext0\f1\fs18\b\fi0\li90\ri90\sb80\sa40\sl0 Table Heading;}{\s39\snext0\f1\fs22\b\fi0\li270\ri270\sb0\sa0\sl0 Table Title 0;}{\s40\snext0\f1\fs18\b\ul\fi0\li180\ri270\sb80\sa80\sl0 Table Title 1;}{\s41\snext0\f1\fs18\ul\fi0\li270\ri270\sb0\sa120\sl0 Table Title 2;}{\s42\snext0\f1\fs18\fi0\li270\ri270\sb20\sa20\sl0 Table Text Normal;}{\s43\snext0\f1\fs18\cf12\fi0\li270\ri270\sb20\sa20\sl0 Table Text Light +;}{\s44\snext0\f1\fs18\b\fi0\li270\ri270\sb20\sa20\sl0 Table Text Bold;}{\s45\snext0\f5\fs20\b\cf13\fi0\li0\ri0\sb0\sa0\sl0\qr Cover Text 3;}{\s46\snext0\f5\fs20\b\i\cf10\fi0\li0\ri0\sb0\sa80\sl0 Title Small;}{\s47\snext0\f7\fs16\fi0\li90\ri90\sb0\sa0\sl0 Table Text Code;}{\cs48\f7 Code;}{\s49\snext0\f1\fs20 Items;}{\s50\snext0\f1\fs18\b\cf14\fi0\li90\ri90\sb80\sa40\sl0 Table Heading Light;}{\cs51\f1\cf15 Table Field Label;}{\cs52\caps All Caps;}} +{\*\revtbl{Unknown;}} +\paperw12240\paperh15840\margl1080\margr1080\margt720\margb720\headery720\footery720\nogrowautofit\deftab720\formshade\nofeaturethrottle1\dntblnsbdb\fet4\aendnotes\aftnnrlc\pgbrdrhead\pgbrdrfoot +\sectd\pgwsxn11902\pghsxn16835\guttersxn0\marglsxn1080\margrsxn1080\margtsxn720\margbsxn720\headery720\footery720\sbkpage\pgncont\pgndec +\plain\plain\f0\fs24\ql{\*\bkmkstart TEMPORAL_OBJECTS}{\*\bkmkstart BKM_E2618A0E_C64C_4D35_BC42_C282A4EC74A8}\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 Temporal Objects Delimiter\plain\f1\fs20\lang3081\hich\f1\dbch\f1\loch\f1\fs20\par +\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +{\*\bkmkstart BKM_E7039C25_AE15_4E79_8675_BDF0A5618E7D}[[Calendar Date-section]]\par +[cols="1a"]\par +|===\par +|*Calendar Date* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! A data type that shall be used to identify temporal position within a calendar. (ISO 19108) \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!\{set:cellbgcolor:#FFFFFF\} referenceSystem\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [1] !\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_E7039C25_AE15_4E79_8675_BDF0A5618E7D}\par +\par +{\*\bkmkstart BKM_B227DA33_E415_47F5_9E3D_5CE3D455AC78}[[Coordinate-section]]\par +[cols="1a"]\par +|===\par +|*Coordinate* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!\{set:cellbgcolor:#FFFFFF\} referenceSystem\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [1] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_B227DA33_E415_47F5_9E3D_5CE3D455AC78}\par +\par +{\*\bkmkstart BKM_73F4AA20_5F1C_46EA_8F6B_1B701B48868F}[[Day of Month-section]]\par +[cols="1a"]\par +|===\par +|*Day of Month* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_73F4AA20_5F1C_46EA_8F6B_1B701B48868F}\par +\par +{\*\bkmkstart BKM_80683C58_DE37_4846_B7CC_2F4F97EB18AD}[[Day of week-section]]\par +[cols="1a"]\par +|===\par +|*Day of week* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! The day of week\par +\plain\f3\fs20\lang1033\hich\f3\dbch\f3\loch\f3\cf2\fs20\b day: period \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 having a \plain\f3\fs20\lang1033\hich\f3\dbch\f3\loch\f3\cf2\fs20\b duration \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 nominally equivalent to the \plain\f3\fs20\lang1033\hich\f3\dbch\f3\loch\f3\cf2\fs20\b periodic time \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 of the Earth\plain\f3\fs20\lang1033\hich\f3\dbch\f3\loch\f3\cf2\fs20\u8217 \'92\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 +s rotation around its axis (ISO 19108) \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_80683C58_DE37_4846_B7CC_2F4F97EB18AD}\par +\par +{\*\bkmkstart BKM_38486194_EFFE_4719_A425_2C8DB1DECA79}[[Entity-section]]\par +[cols="1a"]\par +|===\par +|*Entity* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! A temporal interval or instant. \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} hasDefinition\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_38486194_EFFE_4719_A425_2C8DB1DECA79}\par +\par +{\*\bkmkstart BKM_48DC7FF2_0F0B_4463_BD70_3F9B2FAFCA71}[[Event-section]]\par +[cols="1a"]\par +|===\par +|*Event* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! Event: action which occurs at an \plain\f3\fs20\lang1033\hich\f3\dbch\f3\loch\f3\cf2\fs20\b instant (ISO 19108)\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} \plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!\{set:cellbgcolor:#FFFFFF\} definition\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!\{set:cellbgcolor:#FFFFFF\} isA\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <> [] !\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Attribute* !*Value type and multiplicity* !*Definition*\par +{\*\bkmkstart BKM_1E660A5F_47AE_4160_94B0_A590979329AD} \par +!\{set:cellbgcolor:#FFFFFF\} Name\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 !<> !{\*\bkmkend BKM_1E660A5F_47AE_4160_94B0_A590979329AD}\par +!===\par +|\{set:cellbgcolor:#FFFFFF\} Note: Unless otherwise specified, all attributes and role names have the stereotype \'abProperty\'bb.\par +|=== {\*\bkmkend BKM_48DC7FF2_0F0B_4463_BD70_3F9B2FAFCA71}\par +\par +{\*\bkmkstart BKM_510E0FE9_B7FB_4234_9407_13775975ACFC}[[Instant-section]]\par +[cols="1a"]\par +|===\par +|*Instant* \par +|[cols="1,4",frame=none,grid=none]\par +!===\par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Definition: ! A temporal entity with zero extent or duration\par +\plain\f3\fs20\lang1033\hich\f3\dbch\f3\loch\f3\cf2\fs20\b instant: point \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 representing position in time (ISO 19108) \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Subclass of: ! <<-section,>> \par +!\{nbsp\}\{nbsp\}\{nbsp\}\{nbsp\}Stereotype: ! \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u171 \'ab\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 interface\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\u187 \'bb\plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20\par +!===\par +|[cols="15,20,60",frame=none,grid=none,options="header"]\par +!===\par +!\{set:cellbgcolor:#DDDDDD\} *Role name* !*Target class and multiplicity* !*Definition*\par +!\{set:cellbgcolor:#FFFFFF\} hasDefinition\plain\f2\fs24\lang1033\hich\f2\dbch\f2\loch\f2\cf2\fs24 \plain\f1\fs20\lang1033\hich\f1\dbch\f1\loch\f1\cf2\fs20 ! <