notebooks/unit06/unit06_03.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook was prepared by Cayetano Benavent, 2016."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Vector analysis with Shapely"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import shapely"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create point data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from shapely.geometry import Point"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pt = Point(5.5, 10.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'POINT (5.5 10.5)'"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pt.wkt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Computing vector analysis operations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "buff = pt.buffer(10.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"100.0\" height=\"100.0\" viewBox=\"-5.3 -0.30000000000000004 21.6 21.6\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,21.0)\"><path fill-rule=\"evenodd\" fill=\"#66cc99\" stroke=\"#555555\" stroke-width=\"0.43200000000000005\" opacity=\"0.6\" d=\"M 15.5,10.5 L 15.45184726672197,9.519828596704395 L 15.307852804032306,8.549096779838719 L 15.06940335732209,7.5971532274553795 L 14.73879532511287,6.673165676349106 L 14.319212643483553,5.786032631740028 L 13.814696123025456,4.944297669803983 L 13.230104533627374,4.156067158363551 L 12.57106781186548,3.4289321881345307 L 11.843932841636462,2.7698954663726365 L 11.05570233019603,2.1853038769745528 L 10.213967368259986,1.6807873565164542 L 9.326834323650909,1.2612046748871375 L 8.402846772544637,0.9305966426779158 L 7.450903220161297,0.6921471959676975 L 6.480171403295621,0.5481527332780338 L 5.500000000000016,0.5 L 4.519828596704411,0.5481527332780303 L 3.5490967798387354,0.6921471959676921 L 2.597153227455395,0.9305966426779069 L 1.6731656763491216,1.261204674887125 L 0.786032631740043,1.68078735651644 L -0.0557023301960049,2.1853038769745368 L -0.8439328416364393,2.769895466372618 L -1.5710678118654622,3.428932188134512 L -2.230104533627359,4.156067158363532 L -2.8146961230254437,4.944297669803964 L -3.3192126434835423,5.78603263174001 L -3.7387953251128625,6.673165676349089 L -4.069403357322084,7.5971532274553635 L -4.3078528040323025,8.549096779838706 L -4.451847266721968,9.519828596704382 L -4.5,10.49999999999999 L -4.45184726672197,11.480171403295596 L -4.307852804032306,12.450903220161274 L -4.069403357322091,13.402846772544617 L -3.7387953251128696,14.326834323650893 L -3.319212643483553,15.213967368259972 L -2.8146961230254544,16.05570233019602 L -2.2301045336273706,16.84393284163645 L -1.5710678118654773,17.571067811865476 L -0.8439328416364589,18.23010453362737 L -0.05570233019602977,18.81469612302545 L 0.7860326317400128,19.319212643483546 L 1.6731656763490883,19.73879532511286 L 2.597153227455359,20.069403357322084 L 3.549096779838696,20.3078528040323 L 4.519828596704369,20.451847266721966 L 5.499999999999972,20.5 L 6.480171403295574,20.45184726672197 L 7.450903220161248,20.30785280403231 L 8.402846772544587,20.0694033573221 L 9.326834323650859,19.738795325112882 L 10.213967368259937,19.31921264348357 L 11.055702330195981,18.814696123025477 L 11.843932841636414,18.230104533627404 L 12.571067811865436,17.571067811865515 L 13.230104533627333,16.8439328416365 L 13.814696123025417,16.055702330196073 L 14.31921264348352,15.213967368260034 L 14.738795325112841,14.326834323650962 L 15.069403357322066,13.402846772544692 L 15.30785280403229,12.450903220161358 L 15.45184726672196,11.480171403295685 L 15.5,10.500000000000082 L 15.5,10.5 z\" /></g></svg>"
      ],
      "text/plain": [
       "<shapely.geometry.polygon.Polygon at 0x7f11aca913c8>"
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     "execution_count": 6,
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    }
   ],
   "source": [
    "buff"
   ]
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  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Polygon'"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "buff.geom_type"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'POLYGON ((15.5 10.5, 15.45184726672197 9.519828596704395, 15.30785280403231 8.549096779838719, 15.06940335732209 7.597153227455379, 14.73879532511287 6.673165676349106, 14.31921264348355 5.786032631740028, 13.81469612302546 4.944297669803983, 13.23010453362737 4.156067158363551, 12.57106781186548 3.428932188134531, 11.84393284163646 2.769895466372637, 11.05570233019603 2.185303876974553, 10.21396736825999 1.680787356516454, 9.326834323650909 1.261204674887138, 8.402846772544637 0.9305966426779158, 7.450903220161297 0.6921471959676975, 6.480171403295621 0.5481527332780338, 5.500000000000016 0.5, 4.519828596704411 0.5481527332780303, 3.549096779838735 0.6921471959676921, 2.597153227455395 0.9305966426779069, 1.673165676349122 1.261204674887125, 0.786032631740043 1.68078735651644, -0.0557023301960049 2.185303876974537, -0.8439328416364393 2.769895466372618, -1.571067811865462 3.428932188134512, -2.230104533627359 4.156067158363532, -2.814696123025444 4.944297669803964, -3.319212643483542 5.78603263174001, -3.738795325112862 6.673165676349089, -4.069403357322084 7.597153227455363, -4.307852804032303 8.549096779838706, -4.451847266721968 9.519828596704382, -4.5 10.49999999999999, -4.45184726672197 11.4801714032956, -4.307852804032306 12.45090322016127, -4.069403357322091 13.40284677254462, -3.73879532511287 14.32683432365089, -3.319212643483553 15.21396736825997, -2.814696123025454 16.05570233019602, -2.230104533627371 16.84393284163645, -1.571067811865477 17.57106781186548, -0.8439328416364589 18.23010453362737, -0.05570233019602977 18.81469612302545, 0.7860326317400128 19.31921264348355, 1.673165676349088 19.73879532511286, 2.597153227455359 20.06940335732208, 3.549096779838696 20.3078528040323, 4.519828596704369 20.45184726672197, 5.499999999999972 20.5, 6.480171403295574 20.45184726672197, 7.450903220161248 20.30785280403231, 8.402846772544587 20.0694033573221, 9.326834323650859 19.73879532511288, 10.21396736825994 19.31921264348357, 11.05570233019598 18.81469612302548, 11.84393284163641 18.2301045336274, 12.57106781186544 17.57106781186551, 13.23010453362733 16.8439328416365, 13.81469612302542 16.05570233019607, 14.31921264348352 15.21396736826003, 14.73879532511284 14.32683432365096, 15.06940335732207 13.40284677254469, 15.30785280403229 12.45090322016136, 15.45184726672196 11.48017140329569, 15.5 10.50000000000008, 15.5 10.5))'"
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     "execution_count": 8,
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   "source": [
    "buff.wkt"
   ]
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  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "313.6548490545939"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
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   "source": [
    "buff.area"
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  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "pt2 = Point(8.5, 15.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "buff2 = pt2.buffer(10.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
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     "execution_count": 12,
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   "source": [
    "buff2.intersects(buff)"
   ]
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  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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    "buff2.intersection(buff)"
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   "outputs": [
    {
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      ],
      "text/plain": [
       "<shapely.geometry.multipolygon.MultiPolygon at 0x7f11aca91a90>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "buff2.symmetric_difference(buff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"100.0\" height=\"100.0\" viewBox=\"-5.5 -0.5 25.0 27.0\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,26.0)\"><path fill-rule=\"evenodd\" fill=\"#66cc99\" stroke=\"#555555\" stroke-width=\"0.54\" opacity=\"0.6\" d=\"M 18.5,15.5 L 18.45184726672197,14.519828596704395 L 18.307852804032308,13.549096779838719 L 18.069403357322088,12.59715322745538 L 17.738795325112868,11.673165676349106 L 17.319212643483553,10.786032631740028 L 16.814696123025456,9.944297669803984 L 16.230104533627376,9.156067158363552 L 15.57106781186548,8.428932188134532 L 15.191604225854434,8.085006441207565 L 15.06940335732209,7.5971532274553795 L 14.73879532511287,6.673165676349106 L 14.319212643483553,5.786032631740028 L 13.814696123025456,4.944297669803983 L 13.230104533627374,4.156067158363551 L 12.57106781186548,3.4289321881345307 L 11.843932841636462,2.7698954663726365 L 11.05570233019603,2.1853038769745528 L 10.213967368259986,1.6807873565164542 L 9.326834323650909,1.2612046748871375 L 8.402846772544637,0.9305966426779158 L 7.450903220161297,0.6921471959676975 L 6.480171403295621,0.5481527332780338 L 5.500000000000016,0.5 L 4.519828596704411,0.5481527332780303 L 3.5490967798387354,0.6921471959676921 L 2.597153227455395,0.9305966426779069 L 1.6731656763491216,1.261204674887125 L 0.786032631740043,1.68078735651644 L -0.0557023301960049,2.1853038769745368 L -0.8439328416364393,2.769895466372618 L -1.5710678118654622,3.428932188134512 L -2.230104533627359,4.156067158363532 L -2.8146961230254437,4.944297669803964 L -3.3192126434835423,5.78603263174001 L -3.7387953251128625,6.673165676349089 L -4.069403357322084,7.5971532274553635 L -4.3078528040323025,8.549096779838706 L -4.451847266721968,9.519828596704382 L -4.5,10.49999999999999 L -4.45184726672197,11.480171403295596 L -4.307852804032306,12.450903220161274 L -4.069403357322091,13.402846772544617 L -3.7387953251128696,14.326834323650893 L -3.319212643483553,15.213967368259972 L -2.8146961230254544,16.05570233019602 L -2.2301045336273706,16.84393284163645 L -1.5710678118654773,17.571067811865476 L -1.1916042258544328,17.91499355879244 L -1.0694033573220914,18.402846772544617 L -0.7387953251128696,19.326834323650893 L -0.31921264348355294,20.213967368259972 L 0.18530387697454564,21.05570233019602 L 0.7698954663726294,21.84393284163645 L 1.4289321881345227,22.571067811865476 L 2.156067158363541,23.23010453362737 L 2.9442976698039702,23.81469612302545 L 3.786032631740013,24.319212643483546 L 4.673165676349088,24.73879532511286 L 5.597153227455359,25.069403357322084 L 6.549096779838695,25.3078528040323 L 7.519828596704369,25.451847266721966 L 8.499999999999972,25.5 L 9.480171403295575,25.45184726672197 L 10.450903220161248,25.30785280403231 L 11.402846772544587,25.0694033573221 L 12.326834323650859,24.738795325112882 L 13.213967368259937,24.31921264348357 L 14.055702330195981,23.814696123025477 L 14.843932841636414,23.230104533627404 L 15.571067811865436,22.571067811865515 L 16.230104533627333,21.8439328416365 L 16.814696123025417,21.055702330196073 L 17.319212643483517,20.213967368260036 L 17.73879532511284,19.326834323650964 L 18.069403357322066,18.40284677254469 L 18.30785280403229,17.450903220161358 L 18.451847266721963,16.480171403295685 L 18.5,15.500000000000082 L 18.5,15.5 z\" /></g></svg>"
      ],
      "text/plain": [
       "<shapely.geometry.polygon.Polygon at 0x7f11aca91b70>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "buff2.union(buff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from shapely.geometry import LineString"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "line = LineString([(0, 1), (10, 14)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"100.0\" height=\"100.0\" viewBox=\"-0.52 0.48 11.04 14.04\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,15.0)\"><polyline fill=\"none\" stroke=\"#66cc99\" stroke-width=\"0.2808\" points=\"0.0,1.0 10.0,14.0\" opacity=\"0.8\" /></g></svg>"
      ],
      "text/plain": [
       "<shapely.geometry.linestring.LineString at 0x7f11aca91d68>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "line"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.4328202879967773"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "line.distance(pt)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ln_buff = line.buffer(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"100.0\" height=\"100.0\" viewBox=\"-5.91731642209811 -4.91731642209811 21.834632844196218 24.83463284419622\" preserveAspectRatio=\"xMinYMin meet\"><g transform=\"matrix(1,0,0,-1,0,15.0)\"><path fill-rule=\"evenodd\" fill=\"#66cc99\" stroke=\"#555555\" stroke-width=\"0.49669265688392444\" opacity=\"0.6\" d=\"M 6.036880054477,17.048553804248463 L 6.354774086278804,17.422327868269704 L 6.707773636312918,17.76314304408479 L 7.09247912594334,18.067717095242095 L 7.505185631003512,18.333116807131866 L 7.941918562241382,18.55678623544636 L 8.398471942786623,18.736571321320767 L 8.87044891400712,18.870740636097587 L 9.353304079661163,18.95800205593111 L 9.842387280548019,18.997515205646398 L 10.332988378083073,18.988899552011606 L 10.820382615507224,18.932238068481034 L 11.299876119877286,18.8280764361154 L 11.766851106628359,18.67741778837492 L 12.21681035136354,18.481713050395737 L 12.645420500583283,18.242846965787678 L 13.048553804248462,17.963119945523 L 13.422327868269699,17.6452259137212 L 13.763143044084785,17.29222636368709 L 14.067717095242092,16.90752087405667 L 14.333116807131862,16.494814368996497 L 14.556786235446356,16.058081437758627 L 14.736571321320763,15.601528057213384 L 14.870740636097583,15.129551085992887 L 14.958002055931107,14.646695920338843 L 14.997515205646398,14.157612719451986 L 14.988899552011606,13.66701162191693 L 14.932238068481034,13.179617384492778 L 14.8280764361154,12.700123880122716 L 14.677417788374921,12.233148893371641 L 14.481713050395737,11.78318964863646 L 14.242846965787676,11.354579499416715 L 13.963119945523001,10.951446195751538 L 3.963119945523,-2.0485538042484617 L 3.6452259137211973,-2.422327868269705 L 3.292226363687081,-2.7631430440847895 L 2.9075208740566607,-3.067717095242096 L 2.494814368996487,-3.3331168071318666 L 2.0580814377586183,-3.556786235446361 L 1.6015280572133759,-3.736571321320766 L 1.1295510859928797,-3.870740636097585 L 0.6466959203388366,-3.958002055931109 L 0.15761271945198202,-3.9975152056463976 L -0.33298837808307397,-3.988899552011606 L -0.8203826155072252,-3.932238068481034 L -1.2998761198772857,-3.828076436115399 L -1.7668511066283599,-3.677417788374921 L -2.21681035136354,-3.4817130503957365 L -2.645420500583282,-3.2428469657876775 L -3.0485538042484612,-2.963119945523001 L -3.4223278682697,-2.6452259137212017 L -3.763143044084784,-2.2922263636870874 L -4.067717095242091,-1.9075208740566683 L -4.333116807131861,-1.4948143689964954 L -4.556786235446358,-1.0580814377586245 L -4.736571321320763,-0.6015280572133848 L -4.870740636097583,-0.12955108599288456 L -4.958002055931108,0.3533040796611566 L -4.997515205646398,0.8423872805480155 L -4.988899552011606,1.3329883780830691 L -4.932238068481035,1.8203826155072238 L -4.828076436115399,2.2998761198772835 L -4.677417788374921,2.7668511066283608 L -4.4817130503957365,3.2168103513635398 L -4.242846965787675,3.6454205005832856 L -3.963119945523,4.048553804248462 L 6.036880054477,17.048553804248463 z\" /></g></svg>"
      ],
      "text/plain": [
       "<shapely.geometry.polygon.Polygon at 0x7f11aca91ef0>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ln_buff"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fiona and Shapely"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Convert Fiona geometry model to Shapely geometry model:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'geometry': 'Polygon', 'properties': OrderedDict([('TIPO_CLIM', 'str:40'), ('COD_ENT', 'str:4')])}\n"
     ]
    }
   ],
   "source": [
    "import fiona\n",
    "from shapely.geometry import shape, mapping\n",
    "\n",
    "with fiona.open(\"../../data/clima/mf06_clima.shp\", 'r') as in_ds:\n",
    "    ft = next(in_ds)\n",
    "    geom_fio = ft['geometry']\n",
    "    geom_shap = shape(ft['geometry'])\n",
    "    print(in_ds.schema)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'coordinates': [[(259847.80117593426, 4048354.8106294423),\n",
       "   (255129.01120000053, 4050692.185700001),\n",
       "   (253578.2961000027, 4061413.767500004),\n",
       "   (244620.17640000116, 4071119.332200002),\n",
       "   (236918.8450429095, 4079607.4005027767),\n",
       "   (236918.8450429095, 4092290.4266840573),\n",
       "   (235455.41894506942, 4103997.8354667835),\n",
       "   (236431.0363436304, 4120095.522543026),\n",
       "   (229093.74529999867, 4129225.901300002),\n",
       "   (211070.94689999986, 4129321.7255000025),\n",
       "   (200333.19259690307, 4132290.740025025),\n",
       "   (193145.23890000023, 4133672.8347999994),\n",
       "   (176918.37503146008, 4135217.592220705),\n",
       "   (174234.64540000353, 4140875.3909000065),\n",
       "   (168954.35790000204, 4142679.7830000054),\n",
       "   (160120.34646494314, 4152070.8216915466),\n",
       "   (149485.24830000103, 4155228.6174999997),\n",
       "   (142771.7660818547, 4147900.6184019856),\n",
       "   (140991.6928000031, 4159462.1736000013),\n",
       "   (148399.75730000157, 4167195.5944000036),\n",
       "   (156918.21836097818, 4174730.0968623925),\n",
       "   (164104.82120000385, 4177721.6915000044),\n",
       "   (162615.1901000021, 4171296.0336000025),\n",
       "   (170578.77333079092, 4167649.964078024),\n",
       "   (175942.7576328991, 4164973.922876792),\n",
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   "cell_type": "code",
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    "buff_shap = geom_shap.buffer(10000)"
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  {
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   "source": [
    "Convert to Fiona geometry:"
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