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SpatioTemporal
Data Analysis
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Definition
Spatial Concepts
Points1 : The elements of space
Geometric figures1 : finite sets of points (i.e., subsets of space, which can be point,
lines or regions)
Spatial objects1 : An object with spatial attributes
Spatial attribute1 : is specifies the object's geometric coordinates.
Layer1 : is a representation of a spatial attribute or a layer is a set of
geometric figures. .
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Definition
Temporal Concepts
 We assume a linear ordered time line, isomorphic to a finite subset of the natural
numbers. The elements of this set are termed chronons.
 Time points : is considered as one chronon.
 Time intervals [tk...tm] : with tktm, time point sand k<m, has duration and is
defined as set of chronons.
 Time period : defined as a set of time points, time intervals or any combination
thereof.
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Definition
Temporal Concepts
 An event occurs at an exact time point, i.e., an event has no duration. Example
events are a car crash, sunrise etc.
 A state is defined for each chronon in a time interval, hence it has a duration.
For example, a exam takes place from loam until lpm.
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Time series models
 Autoregressive (AR) models
 Moving-average (MA) models
 Autoregressive moving-average (ARMA) models
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Definition
Spatiotemporal Concepts
 We combine the concepts of spatial and temporal by simply recording the spatial
view (i.e., objects and layers) in time (time point and time interval);
 For a moving vehicle in a route network we can record its new position in time
points
 t1tk. In the same way, as a land parcel changes its shape (eg. split , expanded
etc.),we capture snapshots of such spatial object in time.
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Spatial Object Layer
Time Point Snapshot Snapshot (temporal layer)
Time Interval Motion,Change Phenomenon; Change
Time Period Snapshot;Version;Motion;Change Snapshot;Version;Phenomenon;Change
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 Snapshot model (Armstrong 1988)
 Spatiotemporal composite model (Langran and Chrisman 1988)
 Event-based spatiotemporal data model (Peuquet and Duan 1995)
 Three-domain data model (Yuan 1999)
 Geo-atom model (Goodchild et al. 2007, Chen et al. 2012)
 Object-oriental models (Wang and Cheng 2001)
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 spatiotemporal data model based on the CLR technique(Bi Yu Chen 2015)
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References
Xiaoyu Wang, Xiaofang Zhou . Spatiotemporal Data Modelling and Management: a Survey
Pebesma, Edzer, and others. 2012. Spacetime: Spatio-Temporal Data in r. Journal of
Statistical Software 51 (7): 130.
nnerfors, sa, Mariana Kotzeva, Teod坦ra Brandm端ller, and others. 2019. Eurostat Regional
Yearbook 2019 Edition.
Rowe, Francisco, Nikos Patias, and Dani Arribas-Bel. 2020. Policy Brief: Neighbourhood
Change and Trajectories of Inequality in Britain, 1971-2011.
Rowe, Francisco, and Nikos Patias. 2020. Mapping the Spatial Patterns of Internal Migration
in Europe. Regional Studies, Regional Science 7 (1): 39093.
Kwan, Mei-Po, and Jiyeong Lee. 2004. Geovisualization of Human Activity Patterns Using 3d
GIS: A Time-Geographic Approach. Spatially Integrated Social Science 27: 72144.
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References
Bi Yu Chen, Hui Yuan, Qingquan Li, Shih-Lung Shaw, William H.K. Lam & Xiaoling Chen
(2016) Spatiotemporal data model for network time geographic analysis in the era of big data,
International Journal of Geographical Information Science, 30:6, 1041-1071,

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Presentation.pptx

  • 2. z Definition Spatial Concepts Points1 : The elements of space Geometric figures1 : finite sets of points (i.e., subsets of space, which can be point, lines or regions) Spatial objects1 : An object with spatial attributes Spatial attribute1 : is specifies the object's geometric coordinates. Layer1 : is a representation of a spatial attribute or a layer is a set of geometric figures. .
  • 3. z
  • 4. z Definition Temporal Concepts We assume a linear ordered time line, isomorphic to a finite subset of the natural numbers. The elements of this set are termed chronons. Time points : is considered as one chronon. Time intervals [tk...tm] : with tktm, time point sand k<m, has duration and is defined as set of chronons. Time period : defined as a set of time points, time intervals or any combination thereof.
  • 5. z Definition Temporal Concepts An event occurs at an exact time point, i.e., an event has no duration. Example events are a car crash, sunrise etc. A state is defined for each chronon in a time interval, hence it has a duration. For example, a exam takes place from loam until lpm.
  • 6. z Time series models Autoregressive (AR) models Moving-average (MA) models Autoregressive moving-average (ARMA) models
  • 7. z Definition Spatiotemporal Concepts We combine the concepts of spatial and temporal by simply recording the spatial view (i.e., objects and layers) in time (time point and time interval); For a moving vehicle in a route network we can record its new position in time points t1tk. In the same way, as a land parcel changes its shape (eg. split , expanded etc.),we capture snapshots of such spatial object in time.
  • 8. z Spatial Object Layer Time Point Snapshot Snapshot (temporal layer) Time Interval Motion,Change Phenomenon; Change Time Period Snapshot;Version;Motion;Change Snapshot;Version;Phenomenon;Change
  • 9. z
  • 10. z Snapshot model (Armstrong 1988) Spatiotemporal composite model (Langran and Chrisman 1988) Event-based spatiotemporal data model (Peuquet and Duan 1995) Three-domain data model (Yuan 1999) Geo-atom model (Goodchild et al. 2007, Chen et al. 2012) Object-oriental models (Wang and Cheng 2001)
  • 11. z spatiotemporal data model based on the CLR technique(Bi Yu Chen 2015)
  • 12. z References Xiaoyu Wang, Xiaofang Zhou . Spatiotemporal Data Modelling and Management: a Survey Pebesma, Edzer, and others. 2012. Spacetime: Spatio-Temporal Data in r. Journal of Statistical Software 51 (7): 130. nnerfors, sa, Mariana Kotzeva, Teod坦ra Brandm端ller, and others. 2019. Eurostat Regional Yearbook 2019 Edition. Rowe, Francisco, Nikos Patias, and Dani Arribas-Bel. 2020. Policy Brief: Neighbourhood Change and Trajectories of Inequality in Britain, 1971-2011. Rowe, Francisco, and Nikos Patias. 2020. Mapping the Spatial Patterns of Internal Migration in Europe. Regional Studies, Regional Science 7 (1): 39093. Kwan, Mei-Po, and Jiyeong Lee. 2004. Geovisualization of Human Activity Patterns Using 3d GIS: A Time-Geographic Approach. Spatially Integrated Social Science 27: 72144.
  • 13. z References Bi Yu Chen, Hui Yuan, Qingquan Li, Shih-Lung Shaw, William H.K. Lam & Xiaoling Chen (2016) Spatiotemporal data model for network time geographic analysis in the era of big data, International Journal of Geographical Information Science, 30:6, 1041-1071,