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.
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  • Geographic regions are typically two-dimensional.
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Examples

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Basic Examples  (2)

Check if a geometric region is a spatial observation region:

Check if a geographical region is a spatial observation region:

Properties & Relations  (3)

A spatial observation region is full-dimensional:

Compute region dimension:

Compute region embedding dimension:

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

A spatial observation region is bounded:

Check if the region is bounded:

A spatial observation region is parameter free:

Check if region is constant:

Possible Issues  (3)

A network region is not a valid spatial observation region:

This region is not fully dimensional:

A geographical region is bounded if its GeoArea is finite:

It is also bounded and constant in the geometrical sense:

The region dimension and embedding dimension do not agree:

But it is a valid spatial observation region:

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

The region is not parameter free:

Assign a numerical value to the parameter for simulation:

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.

BibTeX

@misc{reference.wolfram_2021_spatialobservationregionq, author="Wolfram Research", title="{SpatialObservationRegionQ}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/SpatialObservationRegionQ.html}", note=[Accessed: 22-September-2021 ]}

BibLaTeX

@online{reference.wolfram_2021_spatialobservationregionq, organization={Wolfram Research}, title={SpatialObservationRegionQ}, year={2020}, url={https://reference.wolfram.com/language/ref/SpatialObservationRegionQ.html}, note=[Accessed: 22-September-2021 ]}

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