mapclassify implements a family of classification schemes for choropleth maps.
Its focus is on the determination of the number of classes, and the assignment
of observations to those classes. It is intended for use with upstream mapping
and geovisualization packages (see
geopandas)
that handle the rendering of the maps.
For further theoretical background see Rey, S.J., D. Arribas-Bel, and L.J. Wolf (2020) "Geographic Data Science with PySAL and the PyData Stack”.
Load built-in example data reporting employment density in 58 California counties:
>>> import mapclassify
>>> y = mapclassify.load_example()
>>> y.mean()
125.92810344827588
>>> y.min(), y.max()
(0.13, 4111.4499999999998)>>> mapclassify.BoxPlot(y)
BoxPlot
     Interval        Count
--------------------------
(   -inf,  -52.88] |     0
( -52.88,    2.57] |    15
(   2.57,    9.36] |    14
(   9.36,   39.53] |    14
(  39.53,   94.97] |     6
(  94.97, 4111.45] |     9>>> mapclassify.EqualInterval(y)
EqualInterval
     Interval        Count
--------------------------
[   0.13,  822.39] |    57
( 822.39, 1644.66] |     0
(1644.66, 2466.92] |     0
(2466.92, 3289.19] |     0
(3289.19, 4111.45] |     1>>> import numpy as np
>>> np.random.seed(123456)
>>> mapclassify.FisherJenks(y, k=5)
FisherJenks
     Interval        Count
--------------------------
[   0.13,   75.29] |    49
(  75.29,  192.05] |     3
( 192.05,  370.50] |     4
( 370.50,  722.85] |     1
( 722.85, 4111.45] |     1>>> np.random.seed(123456)
>>> x = np.random.exponential(size=(10000,))
>>> mapclassify.FisherJenks(x, k=5)
FisherJenks
   Interval      Count
----------------------
[ 0.00,  0.64] |  4694
( 0.64,  1.45] |  2922
( 1.45,  2.53] |  1584
( 2.53,  4.14] |   636
( 4.14, 10.61] |   164
>>> mapclassify.FisherJenksSampled(x, k=5)
FisherJenksSampled
   Interval      Count
----------------------
[ 0.00,  0.70] |  5020
( 0.70,  1.63] |  2952
( 1.63,  2.88] |  1454
( 2.88,  5.32] |   522
( 5.32, 10.61] |    52>>> mapclassify.HeadTailBreaks(y)
HeadTailBreaks
     Interval        Count
--------------------------
[   0.13,  125.93] |    50
( 125.93,  811.26] |     7
( 811.26, 4111.45] |     1>>> mapclassify.JenksCaspall(y, k=5)
JenksCaspall
     Interval        Count
--------------------------
[   0.13,    1.81] |    14
(   1.81,    7.60] |    13
(   7.60,   29.82] |    14
(  29.82,  181.27] |    10
( 181.27, 4111.45] |     7>>> mapclassify.JenksCaspallForced(y, k=5)
JenksCaspallForced
     Interval        Count
--------------------------
[   0.13,    1.34] |    12
(   1.34,    5.90] |    12
(   5.90,   16.70] |    13
(  16.70,   50.65] |     9
(  50.65, 4111.45] |    12>>> mapclassify.JenksCaspallSampled(y, k=5)
JenksCaspallSampled
     Interval        Count
--------------------------
[   0.13,   12.02] |    33
(  12.02,   29.82] |     8
(  29.82,   75.29] |     8
(  75.29,  192.05] |     3
( 192.05, 4111.45] |     6>>> mapclassify.MaxP(y)
MaxP
     Interval        Count
--------------------------
[   0.13,    8.70] |    29
(   8.70,   16.70] |     8
(  16.70,   20.47] |     1
(  20.47,   66.26] |    10
(  66.26, 4111.45] |    10>>> mapclassify.MaximumBreaks(y, k=5)
MaximumBreaks
     Interval        Count
--------------------------
[   0.13,  146.00] |    50
( 146.00,  228.49] |     2
( 228.49,  546.67] |     4
( 546.67, 2417.15] |     1
(2417.15, 4111.45] |     1>>> mapclassify.NaturalBreaks(y, k=5)
NaturalBreaks
     Interval        Count
--------------------------
[   0.13,   75.29] |    49
(  75.29,  192.05] |     3
( 192.05,  370.50] |     4
( 370.50,  722.85] |     1
( 722.85, 4111.45] |     1>>> mapclassify.Quantiles(y, k=5)
Quantiles
     Interval        Count
--------------------------
[   0.13,    1.46] |    12
(   1.46,    5.80] |    11
(   5.80,   13.28] |    12
(  13.28,   54.62] |    11
(  54.62, 4111.45] |    12>>> mapclassify.Percentiles(y, pct=[33, 66, 100])
Percentiles
     Interval        Count
--------------------------
[   0.13,    3.36] |    19
(   3.36,   22.86] |    19
(  22.86, 4111.45] |    20>>> np.random.seed(123456)
>>> x = np.random.randint(0, 10000, (100,1))
>>> mapclassify.PrettyBreaks(x)
Pretty
      Interval         Count
----------------------------
[  300.00,  2000.00] |    23
( 2000.00,  4000.00] |    15
( 4000.00,  6000.00] |    18
( 6000.00,  8000.00] |    24
( 8000.00, 10000.00] |    20>>> mapclassify.StdMean(y)
StdMean
     Interval        Count
--------------------------
(   -inf, -967.36] |     0
(-967.36, -420.72] |     0
(-420.72,  672.57] |    56
( 672.57, 1219.22] |     1
(1219.22, 4111.45] |     1>>> mapclassify.UserDefined(y, bins=[22, 674, 4112])
UserDefined
     Interval        Count
--------------------------
[   0.13,   22.00] |    38
(  22.00,  674.00] |    18
( 674.00, 4112.00] |     2As of version 2.4.0 the API has been extended. A classify function is now
available for a streamlined interface:
>>> classify(y, 'boxplot')                                  
BoxPlot                   
     Interval        Count
--------------------------
(   -inf,  -52.88] |     0
( -52.88,    2.57] |    15
(   2.57,    9.36] |    14
(   9.36,   39.53] |    14
(  39.53,   94.97] |     6
(  94.97, 4111.45] |     9>>> bp = mapclassify.BoxPlot(y)
>>> bp
BoxPlot
     Interval        Count
--------------------------
(   -inf,  -52.88] |     0
( -52.88,    2.57] |    15
(   2.57,    9.36] |    14
(   9.36,   39.53] |    14
(  39.53,   94.97] |     6
(  94.97, 4111.45] |     9
>>> bp.bins
array([ -5.28762500e+01,   2.56750000e+00,   9.36500000e+00,
         3.95300000e+01,   9.49737500e+01,   4.11145000e+03])
>>> bp.counts
array([ 0, 15, 14, 14,  6,  9])
>>> bp.yb
array([5, 1, 2, 3, 2, 1, 5, 1, 3, 3, 1, 2, 2, 1, 2, 2, 2, 1, 5, 2, 4, 1, 2,
       2, 1, 1, 3, 3, 3, 5, 3, 1, 3, 5, 2, 3, 5, 5, 4, 3, 5, 3, 5, 4, 2, 1,
       1, 4, 4, 3, 3, 1, 1, 2, 1, 4, 3, 2])>>> bp = mapclassify.BoxPlot(y)
>>> bp
BoxPlot
     Interval        Count
--------------------------
(   -inf,  -52.88] |     0
( -52.88,    2.57] |    15
(   2.57,    9.36] |    14
(   9.36,   39.53] |    14
(  39.53,   94.97] |     6
(  94.97, 4111.45] |     9
>>> bp.find_bin([0, 7, 3000, 48])
array([1, 2, 5, 4])Note that find_bin does not recalibrate the classifier:
>>> bp
BoxPlot
     Interval        Count
--------------------------
(   -inf,  -52.88] |     0
( -52.88,    2.57] |    15
(   2.57,    9.36] |    14
(   9.36,   39.53] |    14
(  39.53,   94.97] |     6
(  94.97, 4111.45] |     9>>> import mapclassify 
>>> import pandas
>>> from numpy import linspace as lsp
>>> data = [lsp(3,8,num=10), lsp(10, 0, num=10), lsp(-5, 15, num=10)]
>>> data = pandas.DataFrame(data).T
>>> data
          0          1          2
0  3.000000  10.000000  -5.000000
1  3.555556   8.888889  -2.777778
2  4.111111   7.777778  -0.555556
3  4.666667   6.666667   1.666667
4  5.222222   5.555556   3.888889
5  5.777778   4.444444   6.111111
6  6.333333   3.333333   8.333333
7  6.888889   2.222222  10.555556
8  7.444444   1.111111  12.777778
9  8.000000   0.000000  15.000000
>>> data.apply(mapclassify.Quantiles.make(rolling=True))
   0  1  2
0  0  4  0
1  0  4  0
2  1  4  0
3  1  3  0
4  2  2  1
5  2  1  2
6  3  0  4
7  3  0  4
8  4  0  4
9  4  0  4Because we use geopandas in development, and geopandas has stable mapclassify as a dependency, setting up a local development installation involves creating a conda environment, then replacing the stable mapclassify with the development version of mapclassify in the development environment. This can be accomplished with the following steps:
conda-env create -f environment.yml
conda activate mapclassify
conda remove -n mapclassify mapclassify
pip install -e .