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Sampling Points

Learn how to sample random points using GeoPandas.

The example below shows you how to sample random locations from shapes in GeoPandas GeoDataFrames.

Import Packages

To begin with, we need to import packages we’ll use:

import geopandas
import geodatasets

For this example, we will use the New York Borough example data (nybb) provided by geodatasets.

nybb = geopandas.read_file(geodatasets.get_path("nybb"))
# simplify geometry to save space when rendering many interactive maps
nybb.geometry = nybb.simplify(200)

ERROR 1: PROJ: proj_create_from_database: Open of /home/docs/checkouts/readthedocs.org/user_builds/geopandas/conda/latest/share/proj failed

To see what this looks like, visualize the data:

nybb.explore()

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Sampling random points

To sample points from within a GeoDataFrame, use the sample_points() method. To specify the sample sizes, provide an explicit number of points to sample. For example, we can sample 200 points randomly from each feature:

n200_sampled_points = nybb.sample_points(200)
m = nybb.explore()
n200_sampled_points.explore(m=m, color='red')

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This functionality also works for line geometries. For example, let’s look only at the boundary of Manhattan Island:

manhattan_parts = nybb.iloc[[3]].explode(ignore_index=True)
manhattan_island = manhattan_parts.iloc[[30]]
manhattan_island.boundary.explore()

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Sampling randomly from along this boundary can use the same sample_points() method:

manhattan_border_points = manhattan_island.boundary.sample_points(200)
m = manhattan_island.explore()
manhattan_border_points.explore(m=m, color='red')

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Keep in mind that sampled points are returned as a single multi-part geometry, and that the distances over the line segments are calculated along the line.

manhattan_border_points

30    MULTIPOINT (979045.927 196244.050, 979165.391 ...
Name: sampled_points, dtype: geometry

If you want to separate out the individual sampled points, use the .explode() method on the dataframe:

manhattan_border_points.explode(ignore_index=True).head()

0    POINT (979045.927 196244.050)
1    POINT (979165.391 197074.011)
2    POINT (979269.631 198137.936)
3    POINT (979457.379 199105.971)
4    POINT (979523.103 198826.862)
Name: sampled_points, dtype: geometry

Variable number of points

You can also sample different number of points from different geometries if you pass an array specifying the size of the sample per geometry.

variable_size = nybb.sample_points([10, 50, 100, 200, 500])
m = nybb.explore()
variable_size.explore(m=m, color='red')

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Sampling from more complicated point pattern processes

Finally, the sample_points() method can use different sampling processes than those described above, so long as they are implemented in the pointpats package for spatial point pattern analysis. For example, a “cluster-poisson” process is a spatially-random cluster process where the “seeds” of clusters are chosen randomly, and then points around these clusters are distributed according again randomly.

To see what this looks like, consider the following, where ten points will be distributed around five seeds within each of the boroughs in New York City:

sample_t = nybb.sample_points(method='cluster_poisson', size=50, n_seeds=5, cluster_radius=7500)

m = nybb.explore()
sample_t.explore(m=m, color='red')

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