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SpatialObservationRegionQ[reg]

tests whether the geometric or geographic region reg can be an observation in spatial statistics.

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SpatialObservationRegionQ

SpatialObservationRegionQ[reg]

tests whether the geometric or geographic region reg can be an observation in spatial statistics.

Details

  • Spatial observation regions are also known as observation window and observation region.
  • The spatial observation region reg is typically used to describe the region in which point data is collected. Observation regions are necessary in order to obtain correct spatial statistics.
  • A spatial observation region has to be bounded and full dimensional, but can be of any dimension. It also needs to be parameter free, i.e. ConstantRegionQ.
  •     
  • Geographic regions are typically two-dimensional.
  •     

Examples

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Basic Examples  (2)

Check if a geometric region is a spatial observation region:

Wolfram Language code: SpatialObservationRegionQ[Rectangle[]]
Wolfram Language code: SpatialObservationRegionQ[Disk[{0, 0}, a]]
Wolfram Language code: SpatialObservationRegionQ[Polyhedron[{{-Sqrt[1 + 2/Sqrt[5]], 0, Root[1 - 20*#1^2 + 80*#1^4 & , 3, 0]}, {Sqrt[1 + 2/Sqrt[5]], 0, Root[1 - 20*#1^2 + 80*#1^4 & , 2, 0]}, {Root[1 - 20*#1^2 + 80*#1^4 & , 1, 0], (-3 - Sqrt[5])/4, Root[1 - 20*#1^2 + 80*#1^4 & , 3, 0]}, {R ... {{15, 10, 9, 14, 1}, {2, 6, 12, 11, 5}, {5, 11, 7, 3, 19}, {11, 12, 8, 16, 7}, {12, 6, 20, 4, 8}, {6, 2, 13, 18, 20}, {2, 5, 19, 17, 13}, {4, 20, 18, 10, 15}, {18, 13, 17, 9, 10}, {17, 19, 3, 14, 9}, {3, 7, 16, 1, 14}, {16, 8, 4, 15, 1}}]]

Check if a geographical region is a spatial observation region:

Wolfram Language code: SpatialObservationRegionQ[GeoDisk[Here, Quantity[1, "km"]]]
Wolfram Language code: SpatialObservationRegionQ[GeoBoundsRegion[{{-10, 10}, {20, 30}}]]
Wolfram Language code: SpatialObservationRegionQ[Entity["Country", "Poland"]["Polygon"]]

Properties & Relations  (3)

A spatial observation region is full-dimensional:

Wolfram Language code: reg1 = Polygon[{{0, 0}, {0, 1}, {3, 2}}]; reg2 = Line[{{0, 0}, {0, 1}, {3, 2}}];
Wolfram Language code: {SpatialObservationRegionQ[reg1], SpatialObservationRegionQ[reg2]}

Compute region dimension:

Wolfram Language code: {RegionDimension[reg1], RegionDimension[reg2]}

Compute region embedding dimension:

Wolfram Language code: {RegionEmbeddingDimension[reg1], RegionEmbeddingDimension[reg2]}

Both dimensions must be the same for the region to be full-dimensional:

Wolfram Language code: RegionDimension[reg1] == RegionEmbeddingDimension[reg1]
Wolfram Language code: RegionDimension[reg2] == RegionEmbeddingDimension[reg2]

A spatial observation region is bounded:

Wolfram Language code: reg = Polygon[{{0, 0}, {0, 1}, {1, 2}}];
Wolfram Language code: SpatialObservationRegionQ[reg]

Check if the region is bounded:

Wolfram Language code: BoundedRegionQ[reg]

A spatial observation region is parameter free:

Wolfram Language code: reg1 = Disk[{0, 0}, 1]; Clear[a]; reg2 = Disk[{0, 0}, a];
Wolfram Language code: {SpatialObservationRegionQ[reg1], SpatialObservationRegionQ[reg2]}

Check if region is constant:

Wolfram Language code: {ConstantRegionQ[reg1], ConstantRegionQ[reg2]}

Possible Issues  (3)

A network region is not a valid spatial observation region:

Wolfram Language code: reg = Line[{{1, 0}, {2, 1}, {3, 0}, {4, 1}}];
Wolfram Language code: Graphics[reg]
Wolfram Language code: SpatialObservationRegionQ[reg]

This region is not fully dimensional:

Wolfram Language code: RegionDimension[reg] == RegionEmbeddingDimension[reg]

A geographical region is bounded if its GeoArea is finite:

Wolfram Language code: reg = Entity["Country", "Poland"]["Polygon"];
Wolfram Language code: GeoArea[reg]

It is also bounded and constant in the geometrical sense:

Wolfram Language code: BoundedRegionQ[reg]
Wolfram Language code: ConstantRegionQ[reg]

The region dimension and embedding dimension do not agree:

Wolfram Language code: {RegionDimension[reg], RegionEmbeddingDimension[reg]}

But it is a valid spatial observation region:

Wolfram Language code: SpatialObservationRegionQ[reg]

For simulation of a point configuration, the region must be parameter free:

Wolfram Language code: reg = Disk[{0, 0}, a];
Wolfram Language code: RandomPointConfiguration[PoissonPointProcess[20, 2], reg]

The region is not parameter free:

Wolfram Language code: ConstantRegionQ[reg]

Assign a numerical value to the parameter for simulation:

Wolfram Language code: RandomPointConfiguration[PoissonPointProcess[20, 2], reg /. a -> 1]
Wolfram Research (2020), SpatialObservationRegionQ, Wolfram Language function, https://reference.wolfram.com/language/ref/SpatialObservationRegionQ.html.

Text

Wolfram Research (2020), SpatialObservationRegionQ, Wolfram Language function, https://reference.wolfram.com/language/ref/SpatialObservationRegionQ.html.

CMS

Wolfram Language. 2020. "SpatialObservationRegionQ." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SpatialObservationRegionQ.html.

APA

Wolfram Language. (2020). SpatialObservationRegionQ. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SpatialObservationRegionQ.html

BibTeX

@misc{reference.wolfram_2026_spatialobservationregionq, author="Wolfram Research", title="{SpatialObservationRegionQ}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/SpatialObservationRegionQ.html}", note=[Accessed: 13-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_spatialobservationregionq, organization={Wolfram Research}, title={SpatialObservationRegionQ}, year={2020}, url={https://reference.wolfram.com/language/ref/SpatialObservationRegionQ.html}, note=[Accessed: 13-June-2026]}