GeoStreamPlot
✖
GeoStreamPlot
Details and Options



- GeoStreamPlot plots streamlines that show the local direction of the vector field at every point.
- Sets of vectors vecs can be given in the following forms:
-
GeoVector[…],GeoVectorENU[…],… combined geo vectors {vec1,vec2,…} list of individual geo vectors <loc1vec1,loc2vec2,… > association of locations and vectors - The geographic locations loci can be given in the following forms:
-
GeoPosition[{lat,lon}] latitude and longitude Entity[…] geographic entity Dated[ent,date] dated entity - The vectors veci can be given in the following forms:
-
GeoVector[{m,α}] vector with magnitude m and bearing α at posi GeoVectorENU[{ve,vn}] vector with east and north components - Data not given in these forms is ignored in forming the stream plot.
- GeoStreamPlot has the same options as GeoGraphics, with the following additions and changes: [List of all options]
-
Method Automatic methods to use for the plot PerformanceGoal $PerformanceGoal aspects of performance to try to optimize PlotLegends None legends for vector fields PlotTheme $PlotTheme overall theme for the plot RegionFunction True determine what region to include StreamColorFunction Automatic how to color streamlines StreamColorFunctionScaling True whether to scale the argument to StreamColorFunction StreamMarkers Automatic shape to use for streams StreamPoints Automatic determine number, placement, and closeness of streamlines StreamScale Automatic determine sizes and segmenting of individual streamlines StreamStyle Automatic how to draw streamlines - The arguments supplied to RegionFunction are lat, lon, vlat, vlon, Norm[vec].
- The value of region in RegionFunction->region can be an entity or geo polygon over which to plot.
- VectorPoints and StreamPoints accept collections of geo positions and entities.
-
AlignmentPoint Center the default point in the graphic to align with AspectRatio Automatic ratio of height to width Axes False whether to draw axes AxesLabel None axes labels AxesOrigin Automatic where axes should cross AxesStyle {} style specifications for the axes Background None background color for the plot BaselinePosition Automatic how to align with a surrounding text baseline BaseStyle {} base style specifications for the graphic ContentSelectable Automatic whether to allow contents to be selected CoordinatesToolOptions Automatic detailed behavior of the coordinates tool Epilog {} primitives rendered after the main plot FormatType TraditionalForm the default format type for text Frame False whether to put a frame around the plot FrameLabel None frame labels FrameStyle {} style specifications for the frame FrameTicks Automatic frame ticks FrameTicksStyle {} style specifications for frame ticks GeoBackground Automatic style specifications for the background GeoCenter Automatic center coordinates to use GeoGridLines None geographic grid lines to draw GeoGridLinesStyle Automatic style specifications for geographic grid lines GeoGridRange All projected coordinate range to include GeoGridRangePadding Automatic how much to pad the projected range GeoModel Automatic model of the Earth (or other body) to use GeoProjection Automatic projection to use GeoRange Automatic geographic area range to include GeoRangePadding Automatic how much to pad the geographic range GeoResolution Automatic average distance between background pixels GeoScaleBar None scale bar to display GeoServer Automatic specification of a tile server GeoZoomLevel Automatic zoom to use for geographic background GridLines None grid lines to draw GridLinesStyle {} style specifications for grid lines ImageMargins 0. the margins to leave around the graphic ImagePadding All what extra padding to allow for labels etc. ImageSize Automatic the absolute size at which to render the graphic LabelStyle {} style specifications for labels MetaInformation {} meta-information about the map Method Automatic methods to use for the plot PerformanceGoal $PerformanceGoal aspects of performance to try to optimize PlotLabel None an overall label for the plot PlotLegends None legends for vector fields PlotRange All range of values to include PlotRangeClipping False whether to clip at the plot range PlotRangePadding Automatic how much to pad the range of values PlotRegion Automatic the final display region to be filled PlotTheme $PlotTheme overall theme for the plot PreserveImageOptions Automatic whether to preserve image options when displaying new versions of the same graphic Prolog {} primitives rendered before the main plot RasterSize Automatic raster dimensions for the background data RegionFunction True determine what region to include RotateLabel True whether to rotate y labels on the frame StreamColorFunction Automatic how to color streamlines StreamColorFunctionScaling True whether to scale the argument to StreamColorFunction StreamMarkers Automatic shape to use for streams StreamPoints Automatic determine number, placement, and closeness of streamlines StreamScale Automatic determine sizes and segmenting of individual streamlines StreamStyle Automatic how to draw streamlines Ticks Automatic axes ticks TicksStyle {} style specifications for axes ticks
List of all options




Examples
open allclose allBasic Examples (2)Summary of the most common use cases
Scope (18)Survey of the scope of standard use cases
Data (9)
Plot streamlines for a collection of vectors, and give a geographical range for the domain:

https://wolfram.com/xid/0dqwnzix0n2-gqv86z

Use GeoVector to represent a collection of vectors with moduli m and bearings α:

https://wolfram.com/xid/0dqwnzix0n2-d5inj

Use GeoVectorENU to represent a collection of vectors of components ve and vn:

https://wolfram.com/xid/0dqwnzix0n2-blutmh

Use Quantity to represent a list of vectors using distance units:

https://wolfram.com/xid/0dqwnzix0n2-dr6k1w


https://wolfram.com/xid/0dqwnzix0n2-fzzumt

Use QuantityArray to represent an array of quantity vectors:

https://wolfram.com/xid/0dqwnzix0n2-dl6u03


https://wolfram.com/xid/0dqwnzix0n2-gta2bh


https://wolfram.com/xid/0dqwnzix0n2-gafx3a

Plot an irregular collection of vectors:

https://wolfram.com/xid/0dqwnzix0n2-jgige8

https://wolfram.com/xid/0dqwnzix0n2-m25qmp

Explicitly set the number of streamlines:

https://wolfram.com/xid/0dqwnzix0n2-2zybc


https://wolfram.com/xid/0dqwnzix0n2-csfmew

https://wolfram.com/xid/0dqwnzix0n2-o531md

Plot a vector field with streamlines placed with specified densities:

https://wolfram.com/xid/0dqwnzix0n2-7qn6u

Plot wind data over the United States:

https://wolfram.com/xid/0dqwnzix0n2-l3r2kx

https://wolfram.com/xid/0dqwnzix0n2-d0yqwq

Presentation (9)
Plot streamlines for multiple vector fields:

https://wolfram.com/xid/0dqwnzix0n2-c6q7j2

https://wolfram.com/xid/0dqwnzix0n2-lupaf5

Place legends for each dataset:

https://wolfram.com/xid/0dqwnzix0n2-61jvb

Plot streamlines on a map with small or large arrows:

https://wolfram.com/xid/0dqwnzix0n2-ed7v2

Plot streamlines on a map with arrows colored according to the magnitude of the field:

https://wolfram.com/xid/0dqwnzix0n2-c4f6qn


https://wolfram.com/xid/0dqwnzix0n2-chsm29

Specify a maximum number of streamlines:

https://wolfram.com/xid/0dqwnzix0n2-jcfhkf

Plot the streamlines that go through a set of seed coordinates:

https://wolfram.com/xid/0dqwnzix0n2-dtjteu

Show streamlines over a satellite map:

https://wolfram.com/xid/0dqwnzix0n2-cwbcxs

Use the Albers projection centered on Champaign, IL:

https://wolfram.com/xid/0dqwnzix0n2-f8yu4c

https://wolfram.com/xid/0dqwnzix0n2-479t8

Add grid lines and a scale bar:

https://wolfram.com/xid/0dqwnzix0n2-dwda8z

Use a theme with bright colors:

https://wolfram.com/xid/0dqwnzix0n2-egpgvg

https://wolfram.com/xid/0dqwnzix0n2-idupkc


https://wolfram.com/xid/0dqwnzix0n2-d4yhpg

Options (26)Common values & functionality for each option
GeoBackground (1)
GeoCenter (1)
By default, the world map is located at {0,0} coordinates:

https://wolfram.com/xid/0dqwnzix0n2-i2k1h4

https://wolfram.com/xid/0dqwnzix0n2-k17pg9

Center the streamlined map on Champaign, IL:

https://wolfram.com/xid/0dqwnzix0n2-exwum5

Use a different GeoProjection:

https://wolfram.com/xid/0dqwnzix0n2-o9jklf

GeoGridLines (1)
Use GeoGridLines to overlay the map with lines of latitude and longitude:

https://wolfram.com/xid/0dqwnzix0n2-coiaqb

https://wolfram.com/xid/0dqwnzix0n2-ctykc7

Draw GeoGridLines at specific lines of latitude and longitude:

https://wolfram.com/xid/0dqwnzix0n2-cp1i7

GeoGridLinesStyle (1)
Use GeoGridLinesStyle to change the styling for lines of latitude and longitude:

https://wolfram.com/xid/0dqwnzix0n2-lmpujg

GeoModel (1)
GeoProjection (1)
A world map is shown by default in the equirectangular projection:

https://wolfram.com/xid/0dqwnzix0n2-qt8fd

https://wolfram.com/xid/0dqwnzix0n2-bejzj2

Show the streamlines over a map in the Albers projection:

https://wolfram.com/xid/0dqwnzix0n2-vvwugg

Use different map projections:

https://wolfram.com/xid/0dqwnzix0n2-dfpohn

GeoRange (1)
Use GeoRange to define the latitude and longitude coordinate ranges:

https://wolfram.com/xid/0dqwnzix0n2-i5q4zp

https://wolfram.com/xid/0dqwnzix0n2-gpro3m


https://wolfram.com/xid/0dqwnzix0n2-qaim49

GeoRangePadding (1)
By default, no padding is added to the vector map:

https://wolfram.com/xid/0dqwnzix0n2-bnbyhc

https://wolfram.com/xid/0dqwnzix0n2-1uka7

Use GeoRangePadding to pad the coordinate range for the map:

https://wolfram.com/xid/0dqwnzix0n2-gvputf

Use GeoRangePadding to pad the coordinate range for the map:

https://wolfram.com/xid/0dqwnzix0n2-nhssjn

GeoScaleBar (1)
Show a vector map with no geo scale:

https://wolfram.com/xid/0dqwnzix0n2-gn0jz4

https://wolfram.com/xid/0dqwnzix0n2-yq9v

Display the geo scale in kilometers:

https://wolfram.com/xid/0dqwnzix0n2-3p9jb

Show a geo scale in metric and imperial:

https://wolfram.com/xid/0dqwnzix0n2-ehpyj

GeoServer (1)
By default, GeoVectorPlot downloads geo background tiles from the Wolfram GeoServer:

https://wolfram.com/xid/0dqwnzix0n2-ck3190

https://wolfram.com/xid/0dqwnzix0n2-dp7u0d

Use an alternative tile server:

https://wolfram.com/xid/0dqwnzix0n2-ie7457

GeoZoomLevel (1)
Display wind directions over a map of New York City at the default GeoZoomLevel:

https://wolfram.com/xid/0dqwnzix0n2-j5lkm8

https://wolfram.com/xid/0dqwnzix0n2-bz5h7i

Display the vector map at different levels of magnification:

https://wolfram.com/xid/0dqwnzix0n2-nru4r7

PerformanceGoal (1)
PlotLabel (1)
PlotLegends (1)
Add legends with placeholder text:

https://wolfram.com/xid/0dqwnzix0n2-doakf7

https://wolfram.com/xid/0dqwnzix0n2-fhijvs

Specify labels for the legend:

https://wolfram.com/xid/0dqwnzix0n2-ga0l44

Place the legend below the plot:

https://wolfram.com/xid/0dqwnzix0n2-im5p99

Control the appearance of the legend:

https://wolfram.com/xid/0dqwnzix0n2-eow7dw

PlotTheme (1)
RegionFunction (2)
Plot wind data over the United States:

https://wolfram.com/xid/0dqwnzix0n2-c9by2

https://wolfram.com/xid/0dqwnzix0n2-k50mx5

Plot streamlines from wind data over a specific area set by RegionFunction:

https://wolfram.com/xid/0dqwnzix0n2-bmw6mg

https://wolfram.com/xid/0dqwnzix0n2-h7mzka

StreamColorFunction (1)
Color streamlines according to the norm of the vector field:

https://wolfram.com/xid/0dqwnzix0n2-ob510

https://wolfram.com/xid/0dqwnzix0n2-iyab08

Use any named color gradient from ColorData:

https://wolfram.com/xid/0dqwnzix0n2-lwbt19

Specify a color function that blends two colors by the coordinate:

https://wolfram.com/xid/0dqwnzix0n2-k3l2kw

Use StreamColorFunctionScaling->False to get unscaled values:

https://wolfram.com/xid/0dqwnzix0n2-f8l1ay

StreamColorFunctionScaling (1)
By default, scaled values are used:

https://wolfram.com/xid/0dqwnzix0n2-oun4hk

https://wolfram.com/xid/0dqwnzix0n2-0ejaf

Use StreamColorFunctionScalingFalse to get unscaled values:

https://wolfram.com/xid/0dqwnzix0n2-sjac2

Use unscaled coordinates in the direction and scaled coordinates in the
direction:

https://wolfram.com/xid/0dqwnzix0n2-fs6yxk

Explicitly specify the scaling for each color function argument:

https://wolfram.com/xid/0dqwnzix0n2-rli05

StreamMarkers (3)
Streamlines are drawn as arrows by default:

https://wolfram.com/xid/0dqwnzix0n2-bl2bhe

https://wolfram.com/xid/0dqwnzix0n2-iotyiw

Use a named appearance to draw the streamlines:

https://wolfram.com/xid/0dqwnzix0n2-3nlq60

Use different markers for different vector fields:

https://wolfram.com/xid/0dqwnzix0n2-dli8p7

https://wolfram.com/xid/0dqwnzix0n2-0a7bnv


https://wolfram.com/xid/0dqwnzix0n2-e5cxn6

https://wolfram.com/xid/0dqwnzix0n2-n6w4bp


https://wolfram.com/xid/0dqwnzix0n2-e3naeq


https://wolfram.com/xid/0dqwnzix0n2-cd1dv1


https://wolfram.com/xid/0dqwnzix0n2-chhxew

StreamPoints (1)
Specify a maximum number of streamlines:

https://wolfram.com/xid/0dqwnzix0n2-dlfd0f

https://wolfram.com/xid/0dqwnzix0n2-dzpsy

Use symbolic names to specify the number of streamlines:

https://wolfram.com/xid/0dqwnzix0n2-mm9d9l

Specify the minimum distance between streamlines:

https://wolfram.com/xid/0dqwnzix0n2-bz90au

Specify the minimum distance between streamlines at the start and end of a streamline:

https://wolfram.com/xid/0dqwnzix0n2-dbewgl

Specify streamlines that go through a set of seed coordinates:

https://wolfram.com/xid/0dqwnzix0n2-il9sl6

Specify streamlines that go through North and South America:

https://wolfram.com/xid/0dqwnzix0n2-rdklqk

Use both automatic and explicit seeding with styles for explicitly seeded streamlines:

https://wolfram.com/xid/0dqwnzix0n2-cm5lgh

Specify the minimum distance between streamlines at the start and end of a streamline:

https://wolfram.com/xid/0dqwnzix0n2-c5h9zn

Control the maximum length that each streamline can have:

https://wolfram.com/xid/0dqwnzix0n2-l83fpl

https://wolfram.com/xid/0dqwnzix0n2-dgdjrk

StreamScale (1)
Create full streamlines without segmentation:

https://wolfram.com/xid/0dqwnzix0n2-iujzf4

https://wolfram.com/xid/0dqwnzix0n2-bc37a7


https://wolfram.com/xid/0dqwnzix0n2-sz8q9

Use symbolic names to control the lengths of streamlines:

https://wolfram.com/xid/0dqwnzix0n2-cxjcuf


https://wolfram.com/xid/0dqwnzix0n2-ivlqsk

Specify an explicit dashing pattern for streamlines:

https://wolfram.com/xid/0dqwnzix0n2-f8h5gk

Specify the number of points rendered on each streamline segment:

https://wolfram.com/xid/0dqwnzix0n2-hm4qdn

Specify absolute aspect ratios relative to the longest line segment:

https://wolfram.com/xid/0dqwnzix0n2-cs2kci

Specify relative aspect ratios relative to each line segment:

https://wolfram.com/xid/0dqwnzix0n2-mtha1

Scale the length of the arrows by the longitudinal coordinate:

https://wolfram.com/xid/0dqwnzix0n2-ivdls

StreamStyle (2)
Apply a variety of styles to the streamlines:

https://wolfram.com/xid/0dqwnzix0n2-che1e

https://wolfram.com/xid/0dqwnzix0n2-j8gry9


https://wolfram.com/xid/0dqwnzix0n2-bk9kto

Set the style for multiple vector fields:

https://wolfram.com/xid/0dqwnzix0n2-4qqjx

https://wolfram.com/xid/0dqwnzix0n2-dmgwqo

Applications (2)Sample problems that can be solved with this function
Generate streamlines from the magnetic direction field on the North Pole:

https://wolfram.com/xid/0dqwnzix0n2-kwyoml

https://wolfram.com/xid/0dqwnzix0n2-dnhw6v

https://wolfram.com/xid/0dqwnzix0n2-bxugn6

https://wolfram.com/xid/0dqwnzix0n2-iqd5wd

https://wolfram.com/xid/0dqwnzix0n2-5xwok

https://wolfram.com/xid/0dqwnzix0n2-h6qjmt

Plot streamlines of the wind vector field during Hurricane Florence in September 2018:

https://wolfram.com/xid/0dqwnzix0n2-i0rrnr

https://wolfram.com/xid/0dqwnzix0n2-edm1qi

Properties & Relations (12)Properties of the function, and connections to other functions
GeoVectorPlot shows the vector field with discrete arrows:

https://wolfram.com/xid/0dqwnzix0n2-xme9pb

Use GeoBubbleChart to show values with scaled bubbles:

https://wolfram.com/xid/0dqwnzix0n2-2zuimi

https://wolfram.com/xid/0dqwnzix0n2-zbtuwp

Use GeoRegionValuePlot to show values with colored regions:

https://wolfram.com/xid/0dqwnzix0n2-s8d8l7

https://wolfram.com/xid/0dqwnzix0n2-3r0kyy

Use GeoHistogram to aggregate locations into bins:

https://wolfram.com/xid/0dqwnzix0n2-1hew1t

https://wolfram.com/xid/0dqwnzix0n2-k3ohaf

Use GeoSmoothHistogram to generate smooth densities from locations:

https://wolfram.com/xid/0dqwnzix0n2-v6zbbd

https://wolfram.com/xid/0dqwnzix0n2-wptz1e

Use GeoListPlot for individual locations:

https://wolfram.com/xid/0dqwnzix0n2-t15ofl

Draw contours on a map with GeoContourPlot:

https://wolfram.com/xid/0dqwnzix0n2-36jtol

Smoothly shade a map using color with GeoDensityPlot:

https://wolfram.com/xid/0dqwnzix0n2-i0ryln

Use ListVectorPlot or ListStreamPlotfor general data:

https://wolfram.com/xid/0dqwnzix0n2-ssd1w

https://wolfram.com/xid/0dqwnzix0n2-u1p9zz

Use ListVectorDensityPlot or ListStreamDensityPlot to include a density plot of a scalar field:

https://wolfram.com/xid/0dqwnzix0n2-hp5sxb

https://wolfram.com/xid/0dqwnzix0n2-iveoq1

Use VectorDisplacementPlot to visualize the effect of a displacement field:

https://wolfram.com/xid/0dqwnzix0n2-dr3ng1

https://wolfram.com/xid/0dqwnzix0n2-idgrd7

Use ListVectorPlot3D and ListStreamPlot3D to visualize 3D vector field data:

https://wolfram.com/xid/0dqwnzix0n2-scvzzg

https://wolfram.com/xid/0dqwnzix0n2-hxuyz7

Wolfram Research (2019), GeoStreamPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoStreamPlot.html (updated 2020).
Text
Wolfram Research (2019), GeoStreamPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoStreamPlot.html (updated 2020).
Wolfram Research (2019), GeoStreamPlot, Wolfram Language function, https://reference.wolfram.com/language/ref/GeoStreamPlot.html (updated 2020).
CMS
Wolfram Language. 2019. "GeoStreamPlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2020. https://reference.wolfram.com/language/ref/GeoStreamPlot.html.
Wolfram Language. 2019. "GeoStreamPlot." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2020. https://reference.wolfram.com/language/ref/GeoStreamPlot.html.
APA
Wolfram Language. (2019). GeoStreamPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GeoStreamPlot.html
Wolfram Language. (2019). GeoStreamPlot. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/GeoStreamPlot.html
BibTeX
@misc{reference.wolfram_2025_geostreamplot, author="Wolfram Research", title="{GeoStreamPlot}", year="2020", howpublished="\url{https://reference.wolfram.com/language/ref/GeoStreamPlot.html}", note=[Accessed: 06-May-2025
]}
BibLaTeX
@online{reference.wolfram_2025_geostreamplot, organization={Wolfram Research}, title={GeoStreamPlot}, year={2020}, url={https://reference.wolfram.com/language/ref/GeoStreamPlot.html}, note=[Accessed: 06-May-2025
]}