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Last active October 11, 2015 16:57
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Shapefile plotting with PySAL and Matplotlib
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"name": ""
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"worksheets": [
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"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"import pysal as ps\n",
"import random as rdm\n",
"from pysal.contrib.viz import mapping as maps"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Guide for the `mapping` module in `PySAL`\n",
"\n",
"Contributors:\n",
"\n",
"* Dani Arribas-Bel `<daniel.arribas.bel@gmail.com>`\n",
"\n",
"\n",
"This document describes the main structure, components and usage of the mapping module in `PySAL`. The is organized around three main layers:\n",
"\n",
"* A lower-level layer that reads polygon, line and point shapefiles and returns a Matplotlib collection.\n",
"* A medium-level layer that performs some usual transformations on a Matplotlib object (e.g. color code polygons according to a vector of values).\n",
"* A higher-level layer intended for end-users for particularly useful cases and style preferences pre-defined (e.g. Create a choropleth)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Lower-level component\n",
"\n",
"This includes basic functionality to read spatial data from a file (currently only shapefiles supported) and produce rudimentary Matplotlib objects. The main methods are:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* `map_poly_shape`: to read in polygon shapefiles"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* `map_line_shape`: to read in line shapefiles"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* `map_point_shape`: to read in point shapefiles"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"These methods all support an option to subset the observations to be plotted (very useful when missing values are present). They can also be overlaid and combined by using the `setup_ax` function. the resulting object is very basic but also very flexible so, for minds used to matplotlib this should be good news as it allows to modify pretty much any property and attribute."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Example"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"shp_link = ps.examples.get_path('columbus.shp')\n",
"shp = ps.open(shp_link)\n",
"some = [bool(rdm.getrandbits(1)) for i in ps.open(shp_link)]\n",
"\n",
"fig = figure()\n",
"\n",
"base = maps.map_poly_shp(shp)\n",
"base.set_facecolor('none')\n",
"base.set_linewidth(0.75)\n",
"base.set_edgecolor('0.8')\n",
"some = maps.map_poly_shp(shp, which=some)\n",
"some.set_alpha(0.5)\n",
"some.set_linewidth(0.)\n",
"cents = np.array([poly.centroid for poly in ps.open(shp_link)])\n",
"pts = scatter(cents[:, 0], cents[:, 1])\n",
"pts.set_color('red')\n",
"\n",
"ax = maps.setup_ax([base, some, pts])\n",
"fig.add_axes(ax)\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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7LFRVQpIgGLR44xu3nZHFog3DWLl9z49/DLffDnv2wF/9VdHvsFR0wetQkUgk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\n9u3bGRsbIxqNri66juM56zs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v+WxF5emTSblu4YWVsOeeL/Gmh/4SDQsHib033sG/vvth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\nAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x3909910>"
]
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Medium-level component\n",
"\n",
"This layer comprises functions that perform usual transformations on matplotlib objects, such as color coding objects (points, polygons, etc.) according to a series of values. This includes the following methods:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* `base_choropleth_classless`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* `base_choropleth_unique`\n",
"\n",
"### Example"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"net_link = ps.examples.get_path('eberly_net.shp')\n",
"net = ps.open(net_link)\n",
"values = np.array(ps.open(net_link.replace('.shp', '.dbf')).by_col('TNODE'))\n",
"\n",
"pts_link = ps.examples.get_path('eberly_net_pts_onnetwork.shp')\n",
"pts = ps.open(pts_link)\n",
"\n",
"fig = figure()\n",
"\n",
"netm = maps.map_line_shp(net)\n",
"netc = maps.base_choropleth_unique(netm, values)\n",
"\n",
"ptsm = maps.map_point_shp(pts)\n",
"ptsm = maps.base_choropleth_classif(ptsm, values)\n",
"ptsm.set_alpha(0.5)\n",
"ptsm.set_linewidth(0.)\n",
"\n",
"ax = maps.setup_ax([netc, ptsm])\n",
"fig.add_axes(ax)\n",
"show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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GswEm3bKIbnLTHWtuBC6madzi0V5RRfPGLaRftFizGCKBxWhkdnYWX+8JXuex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\nswXIjU0XAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x4523390>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"* `base_choropleth_classif`"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Higher-level component\n",
"\n",
"This currently includes the following end-user functions:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* `plot_poly_lines`: very quick shapefile plotting."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"maps.plot_poly_lines(ps.examples.get_path('columbus.shp'))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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vX748+Vu/92CY9QFig/nx48eht4O05v7yyy+urkGQxyZNDUtLSxPnwOchDfIY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\nl1QyTBr4uSq6mqbh4uICoihO5HtLkCR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6QEEEmKzo94sGZl2DKAhCT0eNZVlUhHO5HC4u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\nmCL/D5B33fyW8wVLAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x3a766d0>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"* `plot_choropleth`: for quick plotting of several types of chocopleths."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"shp_link = ps.examples.get_path('columbus.shp')\n",
"values = np.array(ps.open(ps.examples.get_path('columbus.dbf')).by_col('HOVAL'))\n",
"\n",
"types = ['classless', 'unique_values', 'quantiles', 'fisher_jenks', 'equal_interval']\n",
"for typ in types:\n",
" maps.plot_choropleth(shp_link, values, typ, title=typ)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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8THnjDdrrpDdCdAVHERUVxd+fe45nzWZsYej/PKC2TmHnTv88VEmSSEiQ2bAh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\nUEEFFXiRCtGtoIIKKvAi/w+yBnBWm0Pt1gAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x393c3d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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VkUqay8nS9T6OnjSw+NrsdJVIeHDFknakcmxkwthZpCS4qkV/2dBUy9FHHoWq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\ndNBBDPl/gxj98nBk0pUAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x3a6b350>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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Iw26ONxKmqJtklc997nNone2sIUVF4ehFKvqgyKuajqZraLqGog6+1gbPqWp6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\nTqFQKEkEFXUKhUJJIv4/x0hMvQTgGYkAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x3911e10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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OQmOKusmU8G7zWc729mXziQCnenpYfXs1jz9057jbqi4vRkDjfOcAVWW+Ecd6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\nikohNKhTFEWlEBrUKYqiUsj/B4PpIj/uTA/9AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x3909150>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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k5nzUQCHbT/vGupnoRJGOjg5NvDU0hosoinRHo3QEAkiiiCRKiCLUtLSxPnCK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\nSkoDsszRTOm3pKOjA6dPH0NPz3kUFsZgyZKZY+5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"text": [
"<matplotlib.figure.Figure at 0x3909510>"
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# To-Do list\n",
"\n",
"General concepts and specific ideas to implement over time, with enough description so they can be brought to life.\n",
"\n",
"* Support for points in medium and higher layer\n",
"* LISA cluster maps"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Caution note on plotting points\n",
"\n",
"Support for points (dots) is still not quite polished. Ideally, one would like to create a `PathCollection` from scratch so it is analogue to the creation of a `PolyCollection` or `LineCollection`. However, for the time being, we are relying on the wrapper `plt.scatter`, which makes it harder to extract the collection and plug it in a different figure. For that reason, it is recommended that, for the time being, one creates the line and/or polygon map as shown in this notebook and then grabs the output axis and uses `ax.scatter` to overlay the points.\n",
"\n",
"**NOTE**: the `PathCollection` created by `plt.scatter` is detailed on line 3142 of [`_axes.py`](https://github.com/matplotlib/matplotlib/blob/master/lib/matplotlib/axes/_axes.py). Maybe we can take some inspiration from there to create our own `PathCollection` for points so they live at the same level as polygons."
]
}
],
"metadata": {}
}
]
}
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