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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\n",
      "%matplotlib inline\n",
      "from pylab import *"
     ],
     "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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WFh5bVCQPc7mUApNJs+o6p61aldf03HPDvmc2a+7f/ra2FgAT3V4w0WUMJC8C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\nqZoXcgghJBwMVv3yppsa/vT442XvZ1KjL1M4Lr1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7yyKxWkkWET6f1Cm6AwGXw6HHszgF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\nBQKBIIH8P3LMOF04yYoKAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108f26e90>"
       ]
      }
     ],
     "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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aLbcDvwL9DL/2b+5/Auab3ZtgOxld6vBvDhbRJ7jgVZKNGjFfDlN9kR6tJcU7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\nOsLnMONC0jQtDocS4ZQNnXT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       "text": [
        "<matplotlib.figure.Figure at 0x108f267d0>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "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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fS8E64tHopkPiYphvdM1sgqTzgIslfbkJchrz4Em8o2xnvIrPACtR0eia2ShJ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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x104465cd0>"
       ]
      }
     ],
     "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', 'equal_interval', 'fisher_jenks']\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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I2O32UCQSmXBZae3t7fZ77733iM1my9oVxXhoamoyB4PBungL2QyxWK8CAC8A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\nCARra2tfxxj7sj2/TCFJkt/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fH3rmmWcKr7322siKFSv6tVqtUllZGamsrBzW1yrLMni9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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109255310>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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EunhxQchk4XUiX6zBkkT41PHs4scn/d+KTSlq9ElyIqWMDYzrAJD3qgMRSaPT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\nQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109411750>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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4xbLm+nw+v0FEAgAYYwJIxp8SMZ46lmqBDp4HIJIhqhB99xIR+u+nHkVqAxGh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\n7L8Z+Md+tp8GbAKSgAv8Fjgp2vc14NPR588ANw0jHTOB5dHnSmAbsBR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       "text": [
        "<matplotlib.figure.Figure at 0x108f3fe10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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CERGJzZs3O5XumqQVszCi1TT6w/pKpFQ149W++XGJSJAEjJ+ejwsPtOELkRBe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\nadM006brsBFBSEoSog6HEHW7BaSmviUXF0ttxcX2E8uWpba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tuVi/Pn6lmIbiy1/29Dz3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\nuhwOh5NA/j8I7GCwfDOA+QAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1095ed550>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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g5HjooYfG33rrrQc86ldfffXuCy64oK6jo8PR1dXl+MUvfrGgurraVVxcfMgK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\nb2sP1h3rwCe/sw0nZoudN+iB9X8vQtOBFnwSgBRdiYSZ24joV//2by2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       "text": [
        "<matplotlib.figure.Figure at 0x1099be190>"
       ]
      }
     ],
     "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": {}
  }
 ]
}