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GeoSmoothHistogram
  • See Also
    • GeoHistogram
    • GeoDensityPlot
    • GeoContourPlot
    • GeoListPlot
    • SmoothDensityHistogram
    • GeoRegionValuePlot
    • GeoBubbleChart
    • GeoGraphPlot
    • GeoStreamPlot
    • GeoVectorPlot
    • SmoothKernelDistribution
    • DensityHistogram
  • Related Guides
    • Geographic Visualization
    • Maps & Cartography
    • Geographic Data & Entities
    • Charting and Information Visualization
    • Data Visualization
    • Statistical Visualization
    • Spatial Point Collections
    • See Also
      • GeoHistogram
      • GeoDensityPlot
      • GeoContourPlot
      • GeoListPlot
      • SmoothDensityHistogram
      • GeoRegionValuePlot
      • GeoBubbleChart
      • GeoGraphPlot
      • GeoStreamPlot
      • GeoVectorPlot
      • SmoothKernelDistribution
      • DensityHistogram
    • Related Guides
      • Geographic Visualization
      • Maps & Cartography
      • Geographic Data & Entities
      • Charting and Information Visualization
      • Data Visualization
      • Statistical Visualization
      • Spatial Point Collections

GeoSmoothHistogram[locs]

plots a smooth kernel histogram of the geo locations locs.

GeoSmoothHistogram[locs,espec]

plots a smooth kernel histogram with estimator specification espec.

GeoSmoothHistogram[locs,espec,dfun]

plots the distribution function dfun.

Details and Options
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Data  
Bandwidth and Kernel  
Presentation  
Options  
AspectRatio  
Axes  
AxesLabel  
Show More Show More
AxesOrigin  
AxesStyle  
BoundaryStyle  
ColorFunction  
ColorFunctionScaling  
Frame  
FrameLabel  
FrameStyle  
GeoBackground  
GeoCenter  
GeoGridLines  
GeoGridLinesStyle  
GeoModel  
GeoProjection  
GeoRange  
GeoRangePadding  
GeoScaleBar  
GeoServer  
GeoZoomLevel  
LightingAngle  
Mesh  
MeshFunctions  
MeshStyle  
OpacityFunction  
PlotLegends  
PlotPoints  
PlotTheme  
RegionFunction  
Applications  
Properties & Relations  
See Also
Related Guides
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • GeoHistogram
    • GeoDensityPlot
    • GeoContourPlot
    • GeoListPlot
    • SmoothDensityHistogram
    • GeoRegionValuePlot
    • GeoBubbleChart
    • GeoGraphPlot
    • GeoStreamPlot
    • GeoVectorPlot
    • SmoothKernelDistribution
    • DensityHistogram
  • Related Guides
    • Geographic Visualization
    • Maps & Cartography
    • Geographic Data & Entities
    • Charting and Information Visualization
    • Data Visualization
    • Statistical Visualization
    • Spatial Point Collections
    • See Also
      • GeoHistogram
      • GeoDensityPlot
      • GeoContourPlot
      • GeoListPlot
      • SmoothDensityHistogram
      • GeoRegionValuePlot
      • GeoBubbleChart
      • GeoGraphPlot
      • GeoStreamPlot
      • GeoVectorPlot
      • SmoothKernelDistribution
      • DensityHistogram
    • Related Guides
      • Geographic Visualization
      • Maps & Cartography
      • Geographic Data & Entities
      • Charting and Information Visualization
      • Data Visualization
      • Statistical Visualization
      • Spatial Point Collections

GeoSmoothHistogram

GeoSmoothHistogram[locs]

plots a smooth kernel histogram of the geo locations locs.

GeoSmoothHistogram[locs,espec]

plots a smooth kernel histogram with estimator specification espec.

GeoSmoothHistogram[locs,espec,dfun]

plots the distribution function dfun.

Details and Options

  • GeoSmoothHistogram is also known as geo intensity and kernel density.
  • GeoSmoothHistogram effectively puts a small bump over each location and sums the heights so that there is a greater overall height where the distribution of locations is denser.
  • The location locs has the following forms and interpretations:
  • GeoPosition[…]array of geodetic positions
    {loc1,loc2,…}list of locations
    <|loc1w1,…|>locations with weights
    WeightedData[…]locations with weights
    EntityClass[…]entities with locations according to the property "Position"
    EntityClass[…]propentities with locations according to the property prop
  • The locations loci have the following forms:
  • GeoPosition[…]latitude and longitude
    Entity[…]an entity with a location according to the property "Position"
    Entity[…]propan entity with a location according to the property prop
  • The estimator specification espec can be of the form bw or {bw,kernel}.
  • The specifications for bandwidth bw and kernel are the same as for SmoothKernelDistribution.
  • The default distribution function dfun is "Intensity".
  • The possible settings for dfun are the same as in SmoothHistogram.
  • GeoSmoothHistogram has the same options as GeoGraphics with the following additions and changes: [List of all options]
  • BoundaryStyle Nonehow to draw RegionFunction boundaries
    BoxRatiosAutomaticeffective 3D bounding box ratios
    ClippingStyleNonehow to draw values clipped by PlotRange
    ColorFunction Automatichow to color the plot
    ColorFunctionScaling Truewhether to scale the argument to ColorFunction
    LightingAngle Noneeffective angle of the simulated light source
    MaxRecursionAutomaticthe maximum number of recursive subdivisions allowed
    Mesh Nonehow many mesh lines to draw
    MeshFunctions {#3&}how to determine the placement of mesh lines
    MeshShadingAutomatichow to shade regions between mesh lines
    MeshStyle Automaticthe style for mesh lines
    MethodAutomaticthe method to use for refining the plot
    OpacityFunction Automatichow to compute the opacity at each point
    OpacityFunctionScaling Truewhether to scale the arguments to OpacityFunction
    PerformanceGoal$PerformanceGoalaspects of performance to try to optimize
    PlotPoints Automaticthe initial number of sample points for the function in each direction
    PlotRangeAutomaticthe range of f or other values to include
    PlotRangeClippingTruewhether to clip at the plot range
    PlotRangePaddingAutomatichow much to pad the range of values
    PlotTheme $PlotThemeoverall theme for the plot
    RegionFunction (True&)how to determine whether a point should be included
    WorkingPrecisionMachinePrecisionthe precision used in internal computations
  • ColorFunction and OpacityFunction are supplied with a single argument, given by default by the scaled value of the intensity f.
  • Typical settings for OpacityFunction include:
  • Automaticautomatically determined
    Noneno opacity function, fully opaque
    αconstant opacity Opacity[α]
    Interval[…]make values in the interval more opaque
    funcgeneral opacity function
  • The arguments supplied to RegionFunction are x, y and f, where f is the intensity.
  • The value of region in RegionFunctionregion can be an entity or geo polygon over which to plot.
  • With the setting MeshShadingAutomatic, the colors between mesh lines are computed from the ColorFunction setting.
  • List of all options

    • AlignmentPointCenterthe default point in the graphic to align with
      AspectRatioAutomaticratio of height to width
      AxesFalsewhether to draw axes
      AxesLabelNoneaxes labels
      AxesOriginAutomaticwhere axes should cross
      AxesStyle{}style specifications for the axes
      BackgroundNonebackground color for the plot
      BaselinePositionAutomatichow to align with a surrounding text baseline
      BaseStyle{}base style specifications for the graphic
      BoundaryStyleNonehow to draw RegionFunction boundaries
      BoxRatiosAutomaticeffective 3D bounding box ratios
      ClippingStyleNonehow to draw values clipped by PlotRange
      ColorFunctionAutomatichow to color the plot
      ColorFunctionScalingTruewhether to scale the argument to ColorFunction
      ContentSelectableAutomaticwhether to allow contents to be selected
      CoordinatesToolOptionsAutomaticdetailed behavior of the coordinates tool
      Epilog{}primitives rendered after the main plot
      FormatTypeTraditionalFormthe default format type for text
      FrameFalsewhether to put a frame around the plot
      FrameLabelNoneframe labels
      FrameStyle{}style specifications for the frame
      FrameTicksAutomaticframe ticks
      FrameTicksStyle{}style specifications for frame ticks
      GeoBackgroundAutomaticstyle specifications for the background
      GeoCenterAutomaticcenter coordinates to use
      GeoGridLinesNonegeographic grid lines to draw
      GeoGridLinesStyleAutomaticstyle specifications for geographic grid lines
      GeoGridRangeAllprojected coordinate range to include
      GeoGridRangePaddingAutomatichow much to pad the projected range
      GeoModelAutomaticmodel of the Earth (or other body) to use
      GeoProjectionAutomaticprojection to use
      GeoRangeAutomaticgeographic area range to include
      GeoRangePaddingAutomatichow much to pad the geographic range
      GeoResolutionAutomaticaverage distance between background pixels
      GeoScaleBarNonescale bar to display
      GeoServerAutomaticspecification of a tile server
      GeoZoomLevelAutomaticzoom to use for geographic background
      GridLinesNonegrid lines to draw
      GridLinesStyle{}style specifications for grid lines
      ImageMargins0.the margins to leave around the graphic
      ImagePaddingAllwhat extra padding to allow for labels etc.
      ImageSizeAutomaticthe absolute size at which to render the graphic
      LabelStyle{}style specifications for labels
      LightingAngleNoneeffective angle of the simulated light source
      MaxRecursionAutomaticthe maximum number of recursive subdivisions allowed
      MeshNonehow many mesh lines to draw
      MeshFunctions{#3&}how to determine the placement of mesh lines
      MeshShadingAutomatichow to shade regions between mesh lines
      MeshStyleAutomaticthe style for mesh lines
      MetaInformation{}meta-information about the map
      MethodAutomaticthe method to use for refining the plot
      OpacityFunctionAutomatichow to compute the opacity at each point
      OpacityFunctionScalingTruewhether to scale the arguments to OpacityFunction
      PerformanceGoal$PerformanceGoalaspects of performance to try to optimize
      PlotLabelNonean overall label for the plot
      PlotPointsAutomaticthe initial number of sample points for the function in each direction
      PlotRangeAutomaticthe range of f or other values to include
      PlotRangeClippingTruewhether to clip at the plot range
      PlotRangePaddingAutomatichow much to pad the range of values
      PlotRegionAutomaticthe final display region to be filled
      PlotTheme$PlotThemeoverall theme for the plot
      PreserveImageOptionsAutomaticwhether to preserve image options when displaying new versions of the same graphic
      Prolog{}primitives rendered before the main plot
      RasterSizeAutomaticraster dimensions for the background data
      RegionFunction(True&)how to determine whether a point should be included
      RotateLabelTruewhether to rotate y labels on the frame
      TicksAutomaticaxes ticks
      TicksStyle{}style specifications for axes ticks
      WorkingPrecisionMachinePrecisionthe precision used in internal computations

Examples

open all close all

Basic Examples  (2)

Generate an intensity plot for a list of geographic points:

Use a smaller bandwidth to reduce the smoothing of the intensity:

Scope  (23)

Data  (11)

Use a GeoPosition representing a list of locations:

Use a list of GeoPosition locations:

Use entities to represent locations:

Create an intensity plot from the EntityClass containing skyscrapers around the world:

Use an Association with locations for keys and values for counts:

Use WeightedData:

GeoRange is selected automatically:

Use GeoRange to focus on geographic areas of interest:

Nonreal data points are ignored:

Specify the number of points to use:

Plot an intensity plot of a list of locations:

Plot an intensity plot of locations with weights:

Bandwidth and Kernel  (7)

Specify a single bandwidth for bivariate data:

Allow bivariate bandwidths to vary adaptively with local density:

Use the local sensitivity from (small) to (large):

Use any of several automatic bandwidth selection methods:

Silverman's method is used by default for bandwidth selection:

The PDFs are equivalent:

Use different bandwidth specifications in each dimension:

Specify any one of several kernel functions:

Define the kernel function as a pure function:

Presentation  (5)

Add labels:

Color the surface by height:

Create an overlay mesh:

Style the overlay mesh:

Show a legend matching the colors to their values:

Show the plot on a relief map:

Use a satellite map:

Options  (57)

AspectRatio  (4)

By default, the ratio of the height to width for the plot is determined automatically:

Make the height the same as the width with AspectRatio1:

Use numerical value to specify the height-to-width ratio:

AspectRatioFull adjusts the height and width to tightly fit inside other constructs:

Axes  (3)

By default, Axes are not drawn:

Use AxesTrue to turn on axes:

Turn each axis on individually:

AxesLabel  (3)

No axes labels are drawn by default:

Place a label on the axis:

Specify axes labels:

AxesOrigin  (2)

The position of the axes is determined automatically:

Specify an explicit origin for the axes:

AxesStyle  (4)

Change the style for the axes:

Specify the style of each axis:

Use different styles for the ticks and the axes:

Use different styles for the labels and the axes:

BoundaryStyle  (2)

Use a red boundary around the edges of the surface:

BoundaryStyle applies to regions cut by RegionFunction:

ColorFunction  (4)

By default, regions with a lower density of points are colored lighter:

Specify the color function from a coloring scheme:

Specify a specific color function:

Use ColorFunctionScalingFalse to get unscaled height values:

Use opacity to show relative densities:

ColorFunctionScaling  (1)

Use ColorFunctionScalingFalse to get unscaled height values:

Frame  (4)

GeoSmoothHistogram does not use a frame by default:

Use FrameTrue to draw a frame around the plot:

Draw a frame on the left and right edges:

Draw a frame on the left and bottom edges:

FrameLabel  (4)

Place a label along the bottom frame of a plot:

Frame labels are placed on the bottom and left frame edges by default:

Place labels on each of the edges in the frame:

Use a customized style for both labels and frame tick labels:

FrameStyle  (2)

Specify the style of the frame:

Specify the style for each frame edge:

GeoBackground  (3)

By default, geo intensity plots are shown on an unlabeled map:

Show the intensity plot on a labeled map:

Show the plot on a satellite map:

GeoCenter  (1)

Center the plot at specific entity coordinates:

Center the plot at specific coordinates:

GeoGridLines  (1)

Overlay a map with geo grid lines using the default styling:

Draw geo grid lines at specific lines of latitude and longitude:

Draw geo grid lines at specific lines of latitude:

Draw geo grid lines at specific lines of longitude:

Specify the target number of geo grid lines:

Specify different numbers of latitude and longitude geo grid lines:

Draw geo grid lines as multiples of a given angle:

GeoGridLinesStyle  (1)

Specify the overall geo grid line style:

GeoModel  (2)

Use the default (ellipsoidal) model of the Earth:

Use the Moon as reference model:

GeoProjection  (1)

Use GeoProjection to change the map projection:

GeoRange  (1)

The geographic region to show is automatically determined:

Specify the region to show:

Specify the corners of the geo range:

GeoRangePadding  (1)

Use GeoRangePaddingNone to remove padding:

Use 250 kilometers of padding on each side of the map:

Specify padding for latitude only:

Specify different padding on each side of the map:

Pad inward on each side:

GeoScaleBar  (1)

Show the plot with a scale bar in metric units:

Show the plot with a scale bar in metric and imperial units:

Place the scale bar in the top-right corner:

GeoServer  (1)

Use the Wolfram geo server to download map tiles:

Use an alternative geo server:

Specify explicitly some of the parameters of the tile server:

GeoZoomLevel  (1)

Explicitly specify GeoZoomLevel to obtain a lower-resolution map rendering:

Explicitly specify GeoZoomLevel to obtain a higher-resolution map rendering:

LightingAngle  (1)

By default, the simulated lighting is placed at , or the top-left corner, with altitude :

Place the light source at , or the left of the map:

Place the light source at , or the right side of the map, with altitude:

Mesh  (1)

GeoSmoothHistogram does not show a mesh by default:

Use 5 mesh lines in the direction:

Use 3 mesh lines in the direction and 6 mesh lines in the direction:

Show the complete sampling mesh:

MeshFunctions  (1)

Use the value as the mesh function:

Use mesh lines in the and directions:

Use mesh lines corresponding to fixed distances from the mean:

MeshStyle  (1)

Use red mesh lines:

OpacityFunction  (1)

The Automatic setting creates a custom transparency in the smooth histogram over the map:

Use None to get a fully opaque visualization:

Set opacity as a function of the scaled function value f:

Show the opacity at the plot legends:

PlotLegends  (1)

Show a legend matching the colors to their values:

Position the legend below the map:

PlotPoints  (1)

Use more initial points to get a smoother plot:

PlotTheme  (1)

Use a theme with simple ticks and grid lines in a bright color scheme:

Change the color scheme:

RegionFunction  (2)

Limit the histogram to a region corresponding to an entity:

Use a function to limit the histogram according to the latitude:

Applications  (4)

Generate an intensity plot of the heights of notable buildings in New York City:

Show the intensity of the distribution of breweries in the United States:

Map the distribution of trees in Champaign, IL:

Map a smooth histogram of the last 1000 registered meteorite landings in the world:

Properties & Relations  (9)

Use SmoothDensityHistogram and SmoothHistogram3D for general data:

Use GeoListPlot for individual locations:

Use GeoBubbleChart to show values with scaled bubbles:

Use GeoRegionValuePlot to show values with colored regions:

Use GeoHistogram to aggregate locations into bins:

Use GeoVectorPlot and GeoStreamPlot for vector fields:

Draw contours on a map with GeoContourPlot:

Smoothly shade a map using color with GeoDensityPlot:

Plot relationships between geographic locations on a map:

See Also

GeoHistogram  GeoDensityPlot  GeoContourPlot  GeoListPlot  SmoothDensityHistogram  GeoRegionValuePlot  GeoBubbleChart  GeoGraphPlot  GeoStreamPlot  GeoVectorPlot  SmoothKernelDistribution  DensityHistogram

Related Guides

    ▪
  • Geographic Visualization
  • ▪
  • Maps & Cartography
  • ▪
  • Geographic Data & Entities
  • ▪
  • Charting and Information Visualization
  • ▪
  • Data Visualization
  • ▪
  • Statistical Visualization
  • ▪
  • Spatial Point Collections

History

Introduced in 2018 (11.3) | Updated in 2019 (12.0)

Wolfram Research (2018), GeoSmoothHistogram, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoSmoothHistogram.html (updated 2019).

Text

Wolfram Research (2018), GeoSmoothHistogram, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoSmoothHistogram.html (updated 2019).

CMS

Wolfram Language. 2018. "GeoSmoothHistogram." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2019. https://reference.wolfram.com/language/ref/GeoSmoothHistogram.html.

APA

Wolfram Language. (2018). GeoSmoothHistogram. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GeoSmoothHistogram.html

BibTeX

@misc{reference.wolfram_2025_geosmoothhistogram, author="Wolfram Research", title="{GeoSmoothHistogram}", year="2019", howpublished="\url{https://reference.wolfram.com/language/ref/GeoSmoothHistogram.html}", note=[Accessed: 01-December-2025]}

BibLaTeX

@online{reference.wolfram_2025_geosmoothhistogram, organization={Wolfram Research}, title={GeoSmoothHistogram}, year={2019}, url={https://reference.wolfram.com/language/ref/GeoSmoothHistogram.html}, note=[Accessed: 01-December-2025]}

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