# MeanPointDensity

MeanPointDensity[pdata]

estimates the mean point density from point data pdata in the observation region reg.

MeanPointDensity[bdata]

estimates the mean point density from binned data bdata.

MeanPointDensity[pproc]

computes the mean point density for point process pproc.

# Details and Options

• MeanPointDensity is also known as intensity or mean intensity.
• The mean point density is the average number of points per unit measure of the observation region. It is given by , where is the number of points and is the measure of the observation region reg.
• The points pdata can have the following forms:
•  {p1,p2,…} points pi GeoPosition[…],GeoPositionXYZ[…],… geographic points SpatialPointData[…] spatial point collection {pts,reg} point collection pts and observation region reg
• If the observation region reg is not given, a region is automatically computed using RipleyRassonRegion.
• The point process pproc can have the following forms:
•  proc a point process proc {proc,reg} a point process proc and observation region reg
• The observation region reg should be a parameter-free, full-dimensional and bounded region as tested by SpatialObservationRegionQ.
• The binned data bdata is taken to come from SpatialBinnedPointData.
• With a point process pproc, either exact formulas or approximate computation methods are used.

# Examples

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## Basic Examples(4)

Find the mean point density of cities in California:

Create a SpatialPointData:

Plot the points:

Mean point density:

Mean point density of a point process:

Mean point density of a point process on the surface of the Earth:

## Scope(2)

Mean point density of points in 2D:

Specify points and the original region:

Specify another region:

Estimate mean point density for a hardcore point process:

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

#### Text

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

#### CMS

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

#### APA

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

#### BibTeX

@misc{reference.wolfram_2024_meanpointdensity, author="Wolfram Research", title="{MeanPointDensity}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/MeanPointDensity.html}", note=[Accessed: 16-June-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_meanpointdensity, organization={Wolfram Research}, title={MeanPointDensity}, year={2020}, url={https://reference.wolfram.com/language/ref/MeanPointDensity.html}, note=[Accessed: 16-June-2024 ]}